composer add phpseclib

338 files changed, 59002 insertions, 0 deletions

diff --git a/vendor/phpseclib/phpseclib/.github/FUNDING.yml b/vendor/phpseclib/phpseclib/.github/FUNDING.yml
new file mode 100644
index 000000000..dc4ccd96e
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/.github/FUNDING.yml
@@ -0,0 +1,12 @@
+# These are supported funding model platforms
+
+github: terrafrost
+patreon: phpseclib
+open_collective: # Replace with a single Open Collective username
+ko_fi: # Replace with a single Ko-fi username
+tidelift: "packagist/phpseclib/phpseclib"
+community_bridge: # Replace with a single Community Bridge project-name e.g., cloud-foundry
+liberapay: # Replace with a single Liberapay username
+issuehunt: # Replace with a single IssueHunt username
+otechie: # Replace with a single Otechie username
+custom: # Replace with up to 4 custom sponsorship URLs e.g., ['link1', 'link2']
diff --git a/vendor/phpseclib/phpseclib/AUTHORS b/vendor/phpseclib/phpseclib/AUTHORS
new file mode 100644
index 000000000..a08b3099c
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/AUTHORS
@@ -0,0 +1,6 @@
+phpseclib Lead Developer:  TerraFrost (Jim Wigginton)
+
+phpseclib Developers:      monnerat (Patrick Monnerat)
+                           bantu (Andreas Fischer)
+                           petrich (Hans-Jürgen Petrich)
+                           GrahamCampbell (Graham Campbell)
diff --git a/vendor/phpseclib/phpseclib/BACKERS.md b/vendor/phpseclib/phpseclib/BACKERS.md
new file mode 100644
index 000000000..e03152ca1
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/BACKERS.md
@@ -0,0 +1,8 @@
+# Backers
+
+phpseclib ongoing development is made possible by [Tidelift](https://tidelift.com/subscription/pkg/packagist-phpseclib-phpseclib?utm_source=packagist-phpseclib-phpseclib&utm_medium=referral&utm_campaign=readme) and by contributions by users like you. Thank you.
+
+## Backers
+
+- Zane Hooper
+- [Setasign](https://www.setasign.com/)
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/LICENSE b/vendor/phpseclib/phpseclib/LICENSE
new file mode 100644
index 000000000..e7214ebbe
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/LICENSE
@@ -0,0 +1,20 @@
+Copyright (c) 2011-2019 TerraFrost and other contributors
+
+Permission is hereby granted, free of charge, to any person obtaining
+a copy of this software and associated documentation files (the
+"Software"), to deal in the Software without restriction, including
+without limitation the rights to use, copy, modify, merge, publish,
+distribute, sublicense, and/or sell copies of the Software, and to
+permit persons to whom the Software is furnished to do so, subject to
+the following conditions:
+
+The above copyright notice and this permission notice shall be
+included in all copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
+LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
+OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
+WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/README.md b/vendor/phpseclib/phpseclib/README.md
new file mode 100644
index 000000000..7df111bf5
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/README.md
@@ -0,0 +1,94 @@
+# phpseclib - PHP Secure Communications Library
+
+[![Build Status](https://travis-ci.com/phpseclib/phpseclib.svg?branch=3.0)](https://travis-ci.com/phpseclib/phpseclib)
+
+## Supporting phpseclib
+
+- [Become a backer or sponsor on Patreon](https://www.patreon.com/phpseclib)
+- [One-time donation via PayPal or crypto-currencies](http://sourceforge.net/donate/index.php?group_id=198487)
+- [Subscribe to Tidelift](https://tidelift.com/subscription/pkg/packagist-phpseclib-phpseclib?utm_source=packagist-phpseclib-phpseclib&utm_medium=referral&utm_campaign=readme)
+
+## Introduction
+
+MIT-licensed pure-PHP implementations of the following:
+
+SSH-2, SFTP, X.509, an arbitrary-precision integer arithmetic library, Ed25519 / Ed449 / Curve25519 / Curve449, ECDSA / ECDH (with support for 66 curves), RSA (PKCS#1 v2.2 compliant), DSA / DH, DES / 3DES / RC4 / Rijndael / AES / Blowfish / Twofish / Salsa20 / ChaCha20, GCM / Poly1305
+
+* [Browse Git](https://github.com/phpseclib/phpseclib)
+
+## Documentation
+
+* [Documentation / Manual](https://phpseclib.com/)
+* [API Documentation](https://api.phpseclib.com/3.0/) (generated by Doctum)
+
+## Branches
+
+### master
+
+* Development Branch
+* Unstable API
+* Do not use in production
+
+### 3.0
+
+* Long term support (LTS) release
+* Major expansion of cryptographic primitives
+* Minimum PHP version: 5.6.1
+* PSR-4 autoloading with namespace rooted at `\phpseclib3`
+* Install via Composer: `composer require phpseclib/phpseclib:~3.0`
+
+### 2.0
+
+* Long term support (LTS) release
+* Modernized version of 1.0
+* Minimum PHP version: 5.3.3
+* PSR-4 autoloading with namespace rooted at `\phpseclib`
+* Install via Composer: `composer require phpseclib/phpseclib:~2.0`
+
+### 1.0
+
+* Long term support (LTS) release
+* PHP4 compatible
+* Composer compatible (PSR-0 autoloading)
+* Install using Composer: `composer require phpseclib/phpseclib:~1.0`
+* Install using PEAR: See [phpseclib PEAR Channel Documentation](http://phpseclib.sourceforge.net/pear.htm)
+* [Download 1.0.19 as ZIP](http://sourceforge.net/projects/phpseclib/files/phpseclib1.0.19.zip/download)
+
+## Security contact information
+
+To report a security vulnerability, please use the [Tidelift security contact](https://tidelift.com/security). Tidelift will coordinate the fix and disclosure.
+
+## Support
+
+Need Support?
+
+* [Checkout Questions and Answers on Stack Overflow](http://stackoverflow.com/questions/tagged/phpseclib)
+* [Create a Support Ticket on GitHub](https://github.com/phpseclib/phpseclib/issues/new)
+* [Browse the Support Forum](http://www.frostjedi.com/phpbb/viewforum.php?f=46) (no longer in use)
+
+## Contributing
+
+1. Fork the Project
+
+2. Ensure you have Composer installed (see [Composer Download Instructions](https://getcomposer.org/download/))
+
+3. Install Development Dependencies
+
+    ``` sh
+    composer install
+    ```
+
+4. Create a Feature Branch
+
+5. (Recommended) Run the Test Suite
+
+    ``` sh
+    vendor/bin/phpunit
+    ```
+6. (Recommended) Check whether your code conforms to our Coding Standards by running
+
+    ``` sh
+    vendor/bin/phing -f build/build.xml sniff
+    ```
+
+7. Send us a Pull Request
diff --git a/vendor/phpseclib/phpseclib/appveyor.yml b/vendor/phpseclib/phpseclib/appveyor.yml
new file mode 100644
index 000000000..210a90347
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/appveyor.yml
@@ -0,0 +1,27 @@
+build: false
+shallow_clone: false
+platform:
+  - x86
+  - x64
+clone_folder: C:\projects\phpseclib
+
+install:
+  - cinst -y OpenSSL.Light
+  - SET PATH=C:\Program Files\OpenSSL;%PATH%
+  - sc config wuauserv start= auto
+  - net start wuauserv
+  - cinst -y php --version 5.6.30
+  - cd c:\tools\php56
+  - copy php.ini-production php.ini
+  - echo date.timezone="UTC" >> php.ini
+  - echo extension_dir=ext >> php.ini
+  - echo extension=php_openssl.dll >> php.ini
+  - echo extension=php_gmp.dll >> php.ini
+  - cd C:\projects\phpseclib
+  - SET PATH=C:\tools\php56;%PATH%
+  - php.exe -r "readfile('http://getcomposer.org/installer');" | php.exe
+  - php.exe composer.phar install --prefer-source --no-interaction
+
+test_script:
+  - cd C:\projects\phpseclib
+  - vendor\bin\phpunit.bat tests/Windows32Test.php
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/composer.json b/vendor/phpseclib/phpseclib/composer.json
new file mode 100644
index 000000000..34dc9993d
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/composer.json
@@ -0,0 +1,77 @@
+{
+    "name": "phpseclib/phpseclib",
+    "type": "library",
+    "description": "PHP Secure Communications Library - Pure-PHP implementations of RSA, AES, SSH2, SFTP, X.509 etc.",
+    "keywords": [
+        "security",
+        "crypto",
+        "cryptography",
+        "encryption",
+        "signature",
+        "signing",
+        "rsa",
+        "aes",
+        "blowfish",
+        "twofish",
+        "ssh",
+        "sftp",
+        "x509",
+        "x.509",
+        "asn1",
+        "asn.1",
+        "BigInteger"
+        ],
+    "homepage": "http://phpseclib.sourceforge.net",
+    "license": "MIT",
+    "authors": [
+        {
+            "name": "Jim Wigginton",
+            "email": "terrafrost@php.net",
+            "role": "Lead Developer"
+        },
+        {
+            "name": "Patrick Monnerat",
+            "email": "pm@datasphere.ch",
+            "role": "Developer"
+        },
+        {
+            "name": "Andreas Fischer",
+            "email": "bantu@phpbb.com",
+            "role": "Developer"
+        },
+        {
+            "name": "Hans-Jürgen Petrich",
+            "email": "petrich@tronic-media.com",
+            "role": "Developer"
+        },
+        {
+            "name": "Graham Campbell",
+            "email": "graham@alt-three.com",
+            "role": "Developer"
+        }
+    ],
+    "require": {
+        "paragonie/constant_time_encoding": "^1|^2",
+        "paragonie/random_compat": "^1.4|^2.0|^9.99.99",
+        "php": ">=5.6.1"
+    },
+    "require-dev": {
+        "phing/phing": "~2.7",
+        "phpunit/phpunit": "^5.7|^6.0|^9.4",
+        "squizlabs/php_codesniffer": "~2.0"
+    },
+    "suggest": {
+        "ext-libsodium": "SSH2/SFTP can make use of some algorithms provided by the libsodium-php extension.",
+        "ext-openssl": "Install the OpenSSL extension in order to speed up a wide variety of cryptographic operations.",
+        "ext-mcrypt": "Install the Mcrypt extension in order to speed up a few other cryptographic operations.",
+        "ext-gmp": "Install the GMP (GNU Multiple Precision) extension in order to speed up arbitrary precision integer arithmetic operations."
+    },
+    "autoload": {
+        "files": [
+            "phpseclib/bootstrap.php"
+        ],
+        "psr-4": {
+            "phpseclib3\\": "phpseclib/"
+        }
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Common/Functions/Strings.php b/vendor/phpseclib/phpseclib/phpseclib/Common/Functions/Strings.php
new file mode 100644
index 000000000..666fce59f
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Common/Functions/Strings.php
@@ -0,0 +1,387 @@
+<?php
+
+/**
+ * Common String Functions
+ *
+ * PHP version 5
+ *
+ * @category  Common
+ * @package   Functions\Strings
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Common\Functions;
+
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Math\Common\FiniteField;
+
+/**
+ * Common String Functions
+ *
+ * @package Functions\Strings
+ * @author  Jim Wigginton <terrafrost@php.net>
+ */
+abstract class Strings
+{
+    /**
+     * String Shift
+     *
+     * Inspired by array_shift
+     *
+     * @param string $string
+     * @param int $index
+     * @access public
+     * @return string
+     */
+    public static function shift(&$string, $index = 1)
+    {
+        $substr = substr($string, 0, $index);
+        $string = substr($string, $index);
+        return $substr;
+    }
+
+    /**
+     * String Pop
+     *
+     * Inspired by array_pop
+     *
+     * @param string $string
+     * @param int $index
+     * @access public
+     * @return string
+     */
+    public static function pop(&$string, $index = 1)
+    {
+        $substr = substr($string, -$index);
+        $string = substr($string, 0, -$index);
+        return $substr;
+    }
+
+    /**
+     * Parse SSH2-style string
+     *
+     * Returns either an array or a boolean if $data is malformed.
+     *
+     * Valid characters for $format are as follows:
+     *
+     * C = byte
+     * b = boolean (true/false)
+     * N = uint32
+     * s = string
+     * i = mpint
+     * L = name-list
+     *
+     * uint64 is not supported.
+     *
+     * @param string $format
+     * @param string $data
+     * @return mixed
+     */
+    public static function unpackSSH2($format, &$data)
+    {
+        $format = self::formatPack($format);
+        $result = [];
+        for ($i = 0; $i < strlen($format); $i++) {
+            switch ($format[$i]) {
+                case 'C':
+                case 'b':
+                    if (!strlen($data)) {
+                        throw new \LengthException('At least one byte needs to be present for successful C / b decodes');
+                    }
+                    break;
+                case 'N':
+                case 'i':
+                case 's':
+                case 'L':
+                    if (strlen($data) < 4) {
+                        throw new \LengthException('At least four byte needs to be present for successful N / i / s / L decodes');
+                    }
+                    break;
+                default:
+                    throw new \InvalidArgumentException('$format contains an invalid character');
+            }
+            switch ($format[$i]) {
+                case 'C':
+                    $result[] = ord(self::shift($data));
+                    continue 2;
+                case 'b':
+                    $result[] = ord(self::shift($data)) != 0;
+                    continue 2;
+                case 'N':
+                    list(, $temp) = unpack('N', self::shift($data, 4));
+                    $result[] = $temp;
+                    continue 2;
+            }
+            list(, $length) = unpack('N', self::shift($data, 4));
+            if (strlen($data) < $length) {
+                throw new \LengthException("$length bytes needed; " . strlen($data) . ' bytes available');
+            }
+            $temp = self::shift($data, $length);
+            switch ($format[$i]) {
+                case 'i':
+                    $result[] = new BigInteger($temp, -256);
+                    break;
+                case 's':
+                    $result[] = $temp;
+                    break;
+                case 'L':
+                    $result[] = explode(',', $temp);
+            }
+        }
+
+        return $result;
+    }
+
+    /**
+     * Create SSH2-style string
+     *
+     * @param string[] ...$elements
+     * @access public
+     * @return mixed
+     */
+    public static function packSSH2(...$elements)
+    {
+        $format = self::formatPack($elements[0]);
+        array_shift($elements);
+        if (strlen($format) != count($elements)) {
+            throw new \InvalidArgumentException('There must be as many arguments as there are characters in the $format string');
+        }
+        $result = '';
+        for ($i = 0; $i < strlen($format); $i++) {
+            $element = $elements[$i];
+            switch ($format[$i]) {
+                case 'C':
+                    if (!is_int($element)) {
+                        throw new \InvalidArgumentException('Bytes must be represented as an integer between 0 and 255, inclusive.');
+                    }
+                    $result.= pack('C', $element);
+                    break;
+                case 'b':
+                    if (!is_bool($element)) {
+                        throw new \InvalidArgumentException('A boolean parameter was expected.');
+                    }
+                    $result.= $element ? "\1" : "\0";
+                    break;
+                case 'N':
+                    if (is_float($element)) {
+                        $element = (int) $element;
+                    }
+                    if (!is_int($element)) {
+                        throw new \InvalidArgumentException('An integer was expected.');
+                    }
+                    $result.= pack('N', $element);
+                    break;
+                case 's':
+                    if (!self::is_stringable($element)) {
+                        throw new \InvalidArgumentException('A string was expected.');
+                    }
+                    $result.= pack('Na*', strlen($element), $element);
+                    break;
+                case 'i':
+                    if (!$element instanceof BigInteger && !$element instanceof FiniteField\Integer) {
+                        throw new \InvalidArgumentException('A phpseclib3\Math\BigInteger or phpseclib3\Math\Common\FiniteField\Integer object was expected.');
+                    }
+                    $element = $element->toBytes(true);
+                    $result.= pack('Na*', strlen($element), $element);
+                    break;
+                case 'L':
+                    if (!is_array($element)) {
+                        throw new \InvalidArgumentException('An array was expected.');
+                    }
+                    $element = implode(',', $element);
+                    $result.= pack('Na*', strlen($element), $element);
+                    break;
+                default:
+                    throw new \InvalidArgumentException('$format contains an invalid character');
+            }
+        }
+        return $result;
+    }
+
+    /**
+     * Expand a pack string
+     *
+     * Converts C5 to CCCCC, for example.
+     *
+     * @access private
+     * @param string $format
+     * @return string
+     */
+    private static function formatPack($format)
+    {
+        $parts = preg_split('#(\d+)#', $format, -1, PREG_SPLIT_DELIM_CAPTURE);
+        $format = '';
+        for ($i = 1; $i < count($parts); $i+=2) {
+            $format.= substr($parts[$i - 1], 0, -1) . str_repeat(substr($parts[$i - 1], -1), $parts[$i]);
+        }
+        $format.= $parts[$i - 1];
+
+        return $format;
+    }
+
+    /**
+     * Convert binary data into bits
+     *
+     * bin2hex / hex2bin refer to base-256 encoded data as binary, whilst
+     * decbin / bindec refer to base-2 encoded data as binary. For the purposes
+     * of this function, bin refers to base-256 encoded data whilst bits refers
+     * to base-2 encoded data
+     *
+     * @access public
+     * @param string $x
+     * @return string
+     */
+    public static function bits2bin($x)
+    {
+        /*
+        // the pure-PHP approach is faster than the GMP approach
+        if (function_exists('gmp_export')) {
+             return strlen($x) ? gmp_export(gmp_init($x, 2)) : gmp_init(0);
+        }
+        */
+
+        if (preg_match('#[^01]#', $x)) {
+            throw new \RuntimeException('The only valid characters are 0 and 1');
+        }
+
+        if (!defined('PHP_INT_MIN')) {
+            define('PHP_INT_MIN', ~PHP_INT_MAX);
+        }
+
+        $length = strlen($x);
+        if (!$length) {
+            return '';
+        }
+        $block_size = PHP_INT_SIZE << 3;
+        $pad = $block_size - ($length % $block_size);
+        if ($pad != $block_size) {
+            $x = str_repeat('0', $pad) . $x;
+        }
+
+        $parts = str_split($x, $block_size);
+        $str = '';
+        foreach ($parts as $part) {
+            $xor = $part[0] == '1' ? PHP_INT_MIN : 0;
+            $part[0] = '0';
+            $str.= pack(
+                PHP_INT_SIZE == 4 ? 'N' : 'J',
+                $xor ^ eval('return 0b' . $part . ';')
+            );
+        }
+        return ltrim($str, "\0");
+    }
+
+    /**
+     * Convert bits to binary data
+     *
+     * @access public
+     * @param string $x
+     * @return string
+     */
+    public static function bin2bits($x)
+    {
+        /*
+        // the pure-PHP approach is slower than the GMP approach BUT
+        // i want to the pure-PHP version to be easily unit tested as well
+        if (function_exists('gmp_import')) {
+            return gmp_strval(gmp_import($x), 2);
+        }
+        */
+
+        $len = strlen($x);
+        $mod = $len % PHP_INT_SIZE;
+        if ($mod) {
+            $x = str_pad($x, $len + PHP_INT_SIZE - $mod, "\0", STR_PAD_LEFT);
+        }
+
+        $bits = '';
+        if (PHP_INT_SIZE == 4) {
+            $digits = unpack('N*', $x);
+            foreach ($digits as $digit) {
+                $bits.= sprintf('%032b', $digit);
+            }
+        } else {
+            $digits = unpack('J*', $x);
+            foreach ($digits as $digit) {
+                $bits.= sprintf('%064b', $digit);
+            }
+        }
+
+        return ltrim($bits, '0');
+    }
+
+    /**
+     * Switch Endianness Bit Order
+     *
+     * @access public
+     * @param string $x
+     * @return string
+     */
+    public static function switchEndianness($x)
+    {
+        $r = '';
+        // from http://graphics.stanford.edu/~seander/bithacks.html#ReverseByteWith32Bits
+        for ($i = strlen($x) - 1; $i >= 0; $i--) {
+            $b = ord($x[$i]);
+            $p1 = ($b * 0x0802) & 0x22110;
+            $p2 = ($b * 0x8020) & 0x88440;
+            $r.= chr(
+                (($p1 | $p2) * 0x10101) >> 16
+            );
+        }
+        return $r;
+    }
+
+    /**
+     * Increment the current string
+     *
+     * @param string $var
+     * @return string
+     * @access public
+     */
+    public static function increment_str(&$var)
+    {
+        for ($i = 4; $i <= strlen($var); $i+= 4) {
+            $temp = substr($var, -$i, 4);
+            switch ($temp) {
+                case "\xFF\xFF\xFF\xFF":
+                    $var = substr_replace($var, "\x00\x00\x00\x00", -$i, 4);
+                    break;
+                case "\x7F\xFF\xFF\xFF":
+                    $var = substr_replace($var, "\x80\x00\x00\x00", -$i, 4);
+                    return $var;
+                default:
+                    $temp = unpack('Nnum', $temp);
+                    $var = substr_replace($var, pack('N', $temp['num'] + 1), -$i, 4);
+                    return $var;
+            }
+        }
+
+        $remainder = strlen($var) % 4;
+
+        if ($remainder == 0) {
+            return $var;
+        }
+
+        $temp = unpack('Nnum', str_pad(substr($var, 0, $remainder), 4, "\0", STR_PAD_LEFT));
+        $temp = substr(pack('N', $temp['num'] + 1), -$remainder);
+        $var = substr_replace($var, $temp, 0, $remainder);
+
+        return $var;
+    }
+
+    /**
+     * Find whether the type of a variable is string (or could be converted to one)
+     *
+     * @param string|object $var
+     * @return boolean
+     * @access public
+     */
+    public static function is_stringable($var)
+    {
+        return is_string($var) || (is_object($var) && method_exists($var, '__toString'));
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/AES.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/AES.php
new file mode 100644
index 000000000..23ea6e146
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/AES.php
@@ -0,0 +1,123 @@
+<?php
+
+/**
+ * Pure-PHP implementation of AES.
+ *
+ * Uses mcrypt, if available/possible, and an internal implementation, otherwise.
+ *
+ * PHP version 5
+ *
+ * NOTE: Since AES.php is (for compatibility and phpseclib-historical reasons) virtually
+ * just a wrapper to Rijndael.php you may consider using Rijndael.php instead of
+ * to save one include_once().
+ *
+ * If {@link self::setKeyLength() setKeyLength()} isn't called, it'll be calculated from
+ * {@link self::setKey() setKey()}.  ie. if the key is 128-bits, the key length will be 128-bits.  If it's 136-bits
+ * it'll be null-padded to 192-bits and 192 bits will be the key length until {@link self::setKey() setKey()}
+ * is called, again, at which point, it'll be recalculated.
+ *
+ * Since \phpseclib3\Crypt\AES extends \phpseclib3\Crypt\Rijndael, some functions are available to be called that, in the context of AES, don't
+ * make a whole lot of sense.  {@link self::setBlockLength() setBlockLength()}, for instance.  Calling that function,
+ * however possible, won't do anything (AES has a fixed block length whereas Rijndael has a variable one).
+ *
+ * Here's a short example of how to use this library:
+ * <code>
+ * <?php
+ *    include 'vendor/autoload.php';
+ *
+ *    $aes = new \phpseclib3\Crypt\AES();
+ *
+ *    $aes->setKey('abcdefghijklmnop');
+ *
+ *    $size = 10 * 1024;
+ *    $plaintext = '';
+ *    for ($i = 0; $i < $size; $i++) {
+ *        $plaintext.= 'a';
+ *    }
+ *
+ *    echo $aes->decrypt($aes->encrypt($plaintext));
+ * ?>
+ * </code>
+ *
+ * @category  Crypt
+ * @package   AES
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2008 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt;
+
+/**
+ * Pure-PHP implementation of AES.
+ *
+ * @package AES
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class AES extends Rijndael
+{
+    /**
+     * Dummy function
+     *
+     * Since \phpseclib3\Crypt\AES extends \phpseclib3\Crypt\Rijndael, this function is, technically, available, but it doesn't do anything.
+     *
+     * @see \phpseclib3\Crypt\Rijndael::setBlockLength()
+     * @access public
+     * @param int $length
+     * @throws \BadMethodCallException anytime it's called
+     */
+    public function setBlockLength($length)
+    {
+        throw new \BadMethodCallException('The block length cannot be set for AES.');
+    }
+
+    /**
+     * Sets the key length
+     *
+     * Valid key lengths are 128, 192, and 256.  Set the link to bool(false) to disable a fixed key length
+     *
+     * @see \phpseclib3\Crypt\Rijndael:setKeyLength()
+     * @access public
+     * @param int $length
+     * @throws \LengthException if the key length isn't supported
+     */
+    public function setKeyLength($length)
+    {
+        switch ($length) {
+            case 128:
+            case 192:
+            case 256:
+                break;
+            default:
+                throw new \LengthException('Key of size ' . $length . ' not supported by this algorithm. Only keys of sizes 128, 192 or 256 supported');
+        }
+        parent::setKeyLength($length);
+    }
+
+    /**
+     * Sets the key.
+     *
+     * Rijndael supports five different key lengths, AES only supports three.
+     *
+     * @see \phpseclib3\Crypt\Rijndael:setKey()
+     * @see setKeyLength()
+     * @access public
+     * @param string $key
+     * @throws \LengthException if the key length isn't supported
+     */
+    public function setKey($key)
+    {
+        switch (strlen($key)) {
+            case 16:
+            case 24:
+            case 32:
+                break;
+            default:
+                throw new \LengthException('Key of size ' . strlen($key) . ' not supported by this algorithm. Only keys of sizes 16, 24 or 32 supported');
+        }
+
+        parent::setKey($key);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/Blowfish.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Blowfish.php
new file mode 100644
index 000000000..c75d983ab
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Blowfish.php
@@ -0,0 +1,556 @@
+<?php
+
+/**
+ * Pure-PHP implementation of Blowfish.
+ *
+ * Uses mcrypt, if available, and an internal implementation, otherwise.
+ *
+ * PHP version 5
+ *
+ * Useful resources are as follows:
+ *
+ *  - {@link http://en.wikipedia.org/wiki/Blowfish_(cipher) Wikipedia description of Blowfish}
+ *
+ * Here's a short example of how to use this library:
+ * <code>
+ * <?php
+ *    include 'vendor/autoload.php';
+ *
+ *    $blowfish = new \phpseclib3\Crypt\Blowfish();
+ *
+ *    $blowfish->setKey('12345678901234567890123456789012');
+ *
+ *    $plaintext = str_repeat('a', 1024);
+ *
+ *    echo $blowfish->decrypt($blowfish->encrypt($plaintext));
+ * ?>
+ * </code>
+ *
+ * @category  Crypt
+ * @package   Blowfish
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @author    Hans-Juergen Petrich <petrich@tronic-media.com>
+ * @copyright 2007 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt;
+
+use phpseclib3\Crypt\Common\BlockCipher;
+
+/**
+ * Pure-PHP implementation of Blowfish.
+ *
+ * @package Blowfish
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @author  Hans-Juergen Petrich <petrich@tronic-media.com>
+ * @access  public
+ */
+class Blowfish extends BlockCipher
+{
+    /**
+     * Block Length of the cipher
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::block_size
+     * @var int
+     * @access private
+     */
+    protected $block_size = 8;
+
+    /**
+     * The mcrypt specific name of the cipher
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::cipher_name_mcrypt
+     * @var string
+     * @access private
+     */
+    protected $cipher_name_mcrypt = 'blowfish';
+
+    /**
+     * Optimizing value while CFB-encrypting
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::cfb_init_len
+     * @var int
+     * @access private
+     */
+    protected $cfb_init_len = 500;
+
+    /**
+     * The fixed subkeys boxes ($sbox0 - $sbox3) with 256 entries each
+     *
+     * S-Box 0
+     *
+     * @access private
+     * @var    array
+     */
+    private static $sbox0 = [
+        0xd1310ba6, 0x98dfb5ac, 0x2ffd72db, 0xd01adfb7, 0xb8e1afed, 0x6a267e96, 0xba7c9045, 0xf12c7f99,
+        0x24a19947, 0xb3916cf7, 0x0801f2e2, 0x858efc16, 0x636920d8, 0x71574e69, 0xa458fea3, 0xf4933d7e,
+        0x0d95748f, 0x728eb658, 0x718bcd58, 0x82154aee, 0x7b54a41d, 0xc25a59b5, 0x9c30d539, 0x2af26013,
+        0xc5d1b023, 0x286085f0, 0xca417918, 0xb8db38ef, 0x8e79dcb0, 0x603a180e, 0x6c9e0e8b, 0xb01e8a3e,
+        0xd71577c1, 0xbd314b27, 0x78af2fda, 0x55605c60, 0xe65525f3, 0xaa55ab94, 0x57489862, 0x63e81440,
+        0x55ca396a, 0x2aab10b6, 0xb4cc5c34, 0x1141e8ce, 0xa15486af, 0x7c72e993, 0xb3ee1411, 0x636fbc2a,
+        0x2ba9c55d, 0x741831f6, 0xce5c3e16, 0x9b87931e, 0xafd6ba33, 0x6c24cf5c, 0x7a325381, 0x28958677,
+        0x3b8f4898, 0x6b4bb9af, 0xc4bfe81b, 0x66282193, 0x61d809cc, 0xfb21a991, 0x487cac60, 0x5dec8032,
+        0xef845d5d, 0xe98575b1, 0xdc262302, 0xeb651b88, 0x23893e81, 0xd396acc5, 0x0f6d6ff3, 0x83f44239,
+        0x2e0b4482, 0xa4842004, 0x69c8f04a, 0x9e1f9b5e, 0x21c66842, 0xf6e96c9a, 0x670c9c61, 0xabd388f0,
+        0x6a51a0d2, 0xd8542f68, 0x960fa728, 0xab5133a3, 0x6eef0b6c, 0x137a3be4, 0xba3bf050, 0x7efb2a98,
+        0xa1f1651d, 0x39af0176, 0x66ca593e, 0x82430e88, 0x8cee8619, 0x456f9fb4, 0x7d84a5c3, 0x3b8b5ebe,
+        0xe06f75d8, 0x85c12073, 0x401a449f, 0x56c16aa6, 0x4ed3aa62, 0x363f7706, 0x1bfedf72, 0x429b023d,
+        0x37d0d724, 0xd00a1248, 0xdb0fead3, 0x49f1c09b, 0x075372c9, 0x80991b7b, 0x25d479d8, 0xf6e8def7,
+        0xe3fe501a, 0xb6794c3b, 0x976ce0bd, 0x04c006ba, 0xc1a94fb6, 0x409f60c4, 0x5e5c9ec2, 0x196a2463,
+        0x68fb6faf, 0x3e6c53b5, 0x1339b2eb, 0x3b52ec6f, 0x6dfc511f, 0x9b30952c, 0xcc814544, 0xaf5ebd09,
+        0xbee3d004, 0xde334afd, 0x660f2807, 0x192e4bb3, 0xc0cba857, 0x45c8740f, 0xd20b5f39, 0xb9d3fbdb,
+        0x5579c0bd, 0x1a60320a, 0xd6a100c6, 0x402c7279, 0x679f25fe, 0xfb1fa3cc, 0x8ea5e9f8, 0xdb3222f8,
+        0x3c7516df, 0xfd616b15, 0x2f501ec8, 0xad0552ab, 0x323db5fa, 0xfd238760, 0x53317b48, 0x3e00df82,
+        0x9e5c57bb, 0xca6f8ca0, 0x1a87562e, 0xdf1769db, 0xd542a8f6, 0x287effc3, 0xac6732c6, 0x8c4f5573,
+        0x695b27b0, 0xbbca58c8, 0xe1ffa35d, 0xb8f011a0, 0x10fa3d98, 0xfd2183b8, 0x4afcb56c, 0x2dd1d35b,
+        0x9a53e479, 0xb6f84565, 0xd28e49bc, 0x4bfb9790, 0xe1ddf2da, 0xa4cb7e33, 0x62fb1341, 0xcee4c6e8,
+        0xef20cada, 0x36774c01, 0xd07e9efe, 0x2bf11fb4, 0x95dbda4d, 0xae909198, 0xeaad8e71, 0x6b93d5a0,
+        0xd08ed1d0, 0xafc725e0, 0x8e3c5b2f, 0x8e7594b7, 0x8ff6e2fb, 0xf2122b64, 0x8888b812, 0x900df01c,
+        0x4fad5ea0, 0x688fc31c, 0xd1cff191, 0xb3a8c1ad, 0x2f2f2218, 0xbe0e1777, 0xea752dfe, 0x8b021fa1,
+        0xe5a0cc0f, 0xb56f74e8, 0x18acf3d6, 0xce89e299, 0xb4a84fe0, 0xfd13e0b7, 0x7cc43b81, 0xd2ada8d9,
+        0x165fa266, 0x80957705, 0x93cc7314, 0x211a1477, 0xe6ad2065, 0x77b5fa86, 0xc75442f5, 0xfb9d35cf,
+        0xebcdaf0c, 0x7b3e89a0, 0xd6411bd3, 0xae1e7e49, 0x00250e2d, 0x2071b35e, 0x226800bb, 0x57b8e0af,
+        0x2464369b, 0xf009b91e, 0x5563911d, 0x59dfa6aa, 0x78c14389, 0xd95a537f, 0x207d5ba2, 0x02e5b9c5,
+        0x83260376, 0x6295cfa9, 0x11c81968, 0x4e734a41, 0xb3472dca, 0x7b14a94a, 0x1b510052, 0x9a532915,
+        0xd60f573f, 0xbc9bc6e4, 0x2b60a476, 0x81e67400, 0x08ba6fb5, 0x571be91f, 0xf296ec6b, 0x2a0dd915,
+        0xb6636521, 0xe7b9f9b6, 0xff34052e, 0xc5855664, 0x53b02d5d, 0xa99f8fa1, 0x08ba4799, 0x6e85076a
+    ];
+
+    /**
+     * S-Box 1
+     *
+     * @access private
+     * @var    array
+     */
+    private static $sbox1 = [
+        0x4b7a70e9, 0xb5b32944, 0xdb75092e, 0xc4192623, 0xad6ea6b0, 0x49a7df7d, 0x9cee60b8, 0x8fedb266,
+        0xecaa8c71, 0x699a17ff, 0x5664526c, 0xc2b19ee1, 0x193602a5, 0x75094c29, 0xa0591340, 0xe4183a3e,
+        0x3f54989a, 0x5b429d65, 0x6b8fe4d6, 0x99f73fd6, 0xa1d29c07, 0xefe830f5, 0x4d2d38e6, 0xf0255dc1,
+        0x4cdd2086, 0x8470eb26, 0x6382e9c6, 0x021ecc5e, 0x09686b3f, 0x3ebaefc9, 0x3c971814, 0x6b6a70a1,
+        0x687f3584, 0x52a0e286, 0xb79c5305, 0xaa500737, 0x3e07841c, 0x7fdeae5c, 0x8e7d44ec, 0x5716f2b8,
+        0xb03ada37, 0xf0500c0d, 0xf01c1f04, 0x0200b3ff, 0xae0cf51a, 0x3cb574b2, 0x25837a58, 0xdc0921bd,
+        0xd19113f9, 0x7ca92ff6, 0x94324773, 0x22f54701, 0x3ae5e581, 0x37c2dadc, 0xc8b57634, 0x9af3dda7,
+        0xa9446146, 0x0fd0030e, 0xecc8c73e, 0xa4751e41, 0xe238cd99, 0x3bea0e2f, 0x3280bba1, 0x183eb331,
+        0x4e548b38, 0x4f6db908, 0x6f420d03, 0xf60a04bf, 0x2cb81290, 0x24977c79, 0x5679b072, 0xbcaf89af,
+        0xde9a771f, 0xd9930810, 0xb38bae12, 0xdccf3f2e, 0x5512721f, 0x2e6b7124, 0x501adde6, 0x9f84cd87,
+        0x7a584718, 0x7408da17, 0xbc9f9abc, 0xe94b7d8c, 0xec7aec3a, 0xdb851dfa, 0x63094366, 0xc464c3d2,
+        0xef1c1847, 0x3215d908, 0xdd433b37, 0x24c2ba16, 0x12a14d43, 0x2a65c451, 0x50940002, 0x133ae4dd,
+        0x71dff89e, 0x10314e55, 0x81ac77d6, 0x5f11199b, 0x043556f1, 0xd7a3c76b, 0x3c11183b, 0x5924a509,
+        0xf28fe6ed, 0x97f1fbfa, 0x9ebabf2c, 0x1e153c6e, 0x86e34570, 0xeae96fb1, 0x860e5e0a, 0x5a3e2ab3,
+        0x771fe71c, 0x4e3d06fa, 0x2965dcb9, 0x99e71d0f, 0x803e89d6, 0x5266c825, 0x2e4cc978, 0x9c10b36a,
+        0xc6150eba, 0x94e2ea78, 0xa5fc3c53, 0x1e0a2df4, 0xf2f74ea7, 0x361d2b3d, 0x1939260f, 0x19c27960,
+        0x5223a708, 0xf71312b6, 0xebadfe6e, 0xeac31f66, 0xe3bc4595, 0xa67bc883, 0xb17f37d1, 0x018cff28,
+        0xc332ddef, 0xbe6c5aa5, 0x65582185, 0x68ab9802, 0xeecea50f, 0xdb2f953b, 0x2aef7dad, 0x5b6e2f84,
+        0x1521b628, 0x29076170, 0xecdd4775, 0x619f1510, 0x13cca830, 0xeb61bd96, 0x0334fe1e, 0xaa0363cf,
+        0xb5735c90, 0x4c70a239, 0xd59e9e0b, 0xcbaade14, 0xeecc86bc, 0x60622ca7, 0x9cab5cab, 0xb2f3846e,
+        0x648b1eaf, 0x19bdf0ca, 0xa02369b9, 0x655abb50, 0x40685a32, 0x3c2ab4b3, 0x319ee9d5, 0xc021b8f7,
+        0x9b540b19, 0x875fa099, 0x95f7997e, 0x623d7da8, 0xf837889a, 0x97e32d77, 0x11ed935f, 0x16681281,
+        0x0e358829, 0xc7e61fd6, 0x96dedfa1, 0x7858ba99, 0x57f584a5, 0x1b227263, 0x9b83c3ff, 0x1ac24696,
+        0xcdb30aeb, 0x532e3054, 0x8fd948e4, 0x6dbc3128, 0x58ebf2ef, 0x34c6ffea, 0xfe28ed61, 0xee7c3c73,
+        0x5d4a14d9, 0xe864b7e3, 0x42105d14, 0x203e13e0, 0x45eee2b6, 0xa3aaabea, 0xdb6c4f15, 0xfacb4fd0,
+        0xc742f442, 0xef6abbb5, 0x654f3b1d, 0x41cd2105, 0xd81e799e, 0x86854dc7, 0xe44b476a, 0x3d816250,
+        0xcf62a1f2, 0x5b8d2646, 0xfc8883a0, 0xc1c7b6a3, 0x7f1524c3, 0x69cb7492, 0x47848a0b, 0x5692b285,
+        0x095bbf00, 0xad19489d, 0x1462b174, 0x23820e00, 0x58428d2a, 0x0c55f5ea, 0x1dadf43e, 0x233f7061,
+        0x3372f092, 0x8d937e41, 0xd65fecf1, 0x6c223bdb, 0x7cde3759, 0xcbee7460, 0x4085f2a7, 0xce77326e,
+        0xa6078084, 0x19f8509e, 0xe8efd855, 0x61d99735, 0xa969a7aa, 0xc50c06c2, 0x5a04abfc, 0x800bcadc,
+        0x9e447a2e, 0xc3453484, 0xfdd56705, 0x0e1e9ec9, 0xdb73dbd3, 0x105588cd, 0x675fda79, 0xe3674340,
+        0xc5c43465, 0x713e38d8, 0x3d28f89e, 0xf16dff20, 0x153e21e7, 0x8fb03d4a, 0xe6e39f2b, 0xdb83adf7
+    ];
+
+    /**
+     * S-Box 2
+     *
+     * @access private
+     * @var    array
+     */
+    private static $sbox2 = [
+        0xe93d5a68, 0x948140f7, 0xf64c261c, 0x94692934, 0x411520f7, 0x7602d4f7, 0xbcf46b2e, 0xd4a20068,
+        0xd4082471, 0x3320f46a, 0x43b7d4b7, 0x500061af, 0x1e39f62e, 0x97244546, 0x14214f74, 0xbf8b8840,
+        0x4d95fc1d, 0x96b591af, 0x70f4ddd3, 0x66a02f45, 0xbfbc09ec, 0x03bd9785, 0x7fac6dd0, 0x31cb8504,
+        0x96eb27b3, 0x55fd3941, 0xda2547e6, 0xabca0a9a, 0x28507825, 0x530429f4, 0x0a2c86da, 0xe9b66dfb,
+        0x68dc1462, 0xd7486900, 0x680ec0a4, 0x27a18dee, 0x4f3ffea2, 0xe887ad8c, 0xb58ce006, 0x7af4d6b6,
+        0xaace1e7c, 0xd3375fec, 0xce78a399, 0x406b2a42, 0x20fe9e35, 0xd9f385b9, 0xee39d7ab, 0x3b124e8b,
+        0x1dc9faf7, 0x4b6d1856, 0x26a36631, 0xeae397b2, 0x3a6efa74, 0xdd5b4332, 0x6841e7f7, 0xca7820fb,
+        0xfb0af54e, 0xd8feb397, 0x454056ac, 0xba489527, 0x55533a3a, 0x20838d87, 0xfe6ba9b7, 0xd096954b,
+        0x55a867bc, 0xa1159a58, 0xcca92963, 0x99e1db33, 0xa62a4a56, 0x3f3125f9, 0x5ef47e1c, 0x9029317c,
+        0xfdf8e802, 0x04272f70, 0x80bb155c, 0x05282ce3, 0x95c11548, 0xe4c66d22, 0x48c1133f, 0xc70f86dc,
+        0x07f9c9ee, 0x41041f0f, 0x404779a4, 0x5d886e17, 0x325f51eb, 0xd59bc0d1, 0xf2bcc18f, 0x41113564,
+        0x257b7834, 0x602a9c60, 0xdff8e8a3, 0x1f636c1b, 0x0e12b4c2, 0x02e1329e, 0xaf664fd1, 0xcad18115,
+        0x6b2395e0, 0x333e92e1, 0x3b240b62, 0xeebeb922, 0x85b2a20e, 0xe6ba0d99, 0xde720c8c, 0x2da2f728,
+        0xd0127845, 0x95b794fd, 0x647d0862, 0xe7ccf5f0, 0x5449a36f, 0x877d48fa, 0xc39dfd27, 0xf33e8d1e,
+        0x0a476341, 0x992eff74, 0x3a6f6eab, 0xf4f8fd37, 0xa812dc60, 0xa1ebddf8, 0x991be14c, 0xdb6e6b0d,
+        0xc67b5510, 0x6d672c37, 0x2765d43b, 0xdcd0e804, 0xf1290dc7, 0xcc00ffa3, 0xb5390f92, 0x690fed0b,
+        0x667b9ffb, 0xcedb7d9c, 0xa091cf0b, 0xd9155ea3, 0xbb132f88, 0x515bad24, 0x7b9479bf, 0x763bd6eb,
+        0x37392eb3, 0xcc115979, 0x8026e297, 0xf42e312d, 0x6842ada7, 0xc66a2b3b, 0x12754ccc, 0x782ef11c,
+        0x6a124237, 0xb79251e7, 0x06a1bbe6, 0x4bfb6350, 0x1a6b1018, 0x11caedfa, 0x3d25bdd8, 0xe2e1c3c9,
+        0x44421659, 0x0a121386, 0xd90cec6e, 0xd5abea2a, 0x64af674e, 0xda86a85f, 0xbebfe988, 0x64e4c3fe,
+        0x9dbc8057, 0xf0f7c086, 0x60787bf8, 0x6003604d, 0xd1fd8346, 0xf6381fb0, 0x7745ae04, 0xd736fccc,
+        0x83426b33, 0xf01eab71, 0xb0804187, 0x3c005e5f, 0x77a057be, 0xbde8ae24, 0x55464299, 0xbf582e61,
+        0x4e58f48f, 0xf2ddfda2, 0xf474ef38, 0x8789bdc2, 0x5366f9c3, 0xc8b38e74, 0xb475f255, 0x46fcd9b9,
+        0x7aeb2661, 0x8b1ddf84, 0x846a0e79, 0x915f95e2, 0x466e598e, 0x20b45770, 0x8cd55591, 0xc902de4c,
+        0xb90bace1, 0xbb8205d0, 0x11a86248, 0x7574a99e, 0xb77f19b6, 0xe0a9dc09, 0x662d09a1, 0xc4324633,
+        0xe85a1f02, 0x09f0be8c, 0x4a99a025, 0x1d6efe10, 0x1ab93d1d, 0x0ba5a4df, 0xa186f20f, 0x2868f169,
+        0xdcb7da83, 0x573906fe, 0xa1e2ce9b, 0x4fcd7f52, 0x50115e01, 0xa70683fa, 0xa002b5c4, 0x0de6d027,
+        0x9af88c27, 0x773f8641, 0xc3604c06, 0x61a806b5, 0xf0177a28, 0xc0f586e0, 0x006058aa, 0x30dc7d62,
+        0x11e69ed7, 0x2338ea63, 0x53c2dd94, 0xc2c21634, 0xbbcbee56, 0x90bcb6de, 0xebfc7da1, 0xce591d76,
+        0x6f05e409, 0x4b7c0188, 0x39720a3d, 0x7c927c24, 0x86e3725f, 0x724d9db9, 0x1ac15bb4, 0xd39eb8fc,
+        0xed545578, 0x08fca5b5, 0xd83d7cd3, 0x4dad0fc4, 0x1e50ef5e, 0xb161e6f8, 0xa28514d9, 0x6c51133c,
+        0x6fd5c7e7, 0x56e14ec4, 0x362abfce, 0xddc6c837, 0xd79a3234, 0x92638212, 0x670efa8e, 0x406000e0
+    ];
+
+    /**
+     * S-Box 3
+     *
+     * @access private
+     * @var    array
+     */
+    private static $sbox3 = [
+        0x3a39ce37, 0xd3faf5cf, 0xabc27737, 0x5ac52d1b, 0x5cb0679e, 0x4fa33742, 0xd3822740, 0x99bc9bbe,
+        0xd5118e9d, 0xbf0f7315, 0xd62d1c7e, 0xc700c47b, 0xb78c1b6b, 0x21a19045, 0xb26eb1be, 0x6a366eb4,
+        0x5748ab2f, 0xbc946e79, 0xc6a376d2, 0x6549c2c8, 0x530ff8ee, 0x468dde7d, 0xd5730a1d, 0x4cd04dc6,
+        0x2939bbdb, 0xa9ba4650, 0xac9526e8, 0xbe5ee304, 0xa1fad5f0, 0x6a2d519a, 0x63ef8ce2, 0x9a86ee22,
+        0xc089c2b8, 0x43242ef6, 0xa51e03aa, 0x9cf2d0a4, 0x83c061ba, 0x9be96a4d, 0x8fe51550, 0xba645bd6,
+        0x2826a2f9, 0xa73a3ae1, 0x4ba99586, 0xef5562e9, 0xc72fefd3, 0xf752f7da, 0x3f046f69, 0x77fa0a59,
+        0x80e4a915, 0x87b08601, 0x9b09e6ad, 0x3b3ee593, 0xe990fd5a, 0x9e34d797, 0x2cf0b7d9, 0x022b8b51,
+        0x96d5ac3a, 0x017da67d, 0xd1cf3ed6, 0x7c7d2d28, 0x1f9f25cf, 0xadf2b89b, 0x5ad6b472, 0x5a88f54c,
+        0xe029ac71, 0xe019a5e6, 0x47b0acfd, 0xed93fa9b, 0xe8d3c48d, 0x283b57cc, 0xf8d56629, 0x79132e28,
+        0x785f0191, 0xed756055, 0xf7960e44, 0xe3d35e8c, 0x15056dd4, 0x88f46dba, 0x03a16125, 0x0564f0bd,
+        0xc3eb9e15, 0x3c9057a2, 0x97271aec, 0xa93a072a, 0x1b3f6d9b, 0x1e6321f5, 0xf59c66fb, 0x26dcf319,
+        0x7533d928, 0xb155fdf5, 0x03563482, 0x8aba3cbb, 0x28517711, 0xc20ad9f8, 0xabcc5167, 0xccad925f,
+        0x4de81751, 0x3830dc8e, 0x379d5862, 0x9320f991, 0xea7a90c2, 0xfb3e7bce, 0x5121ce64, 0x774fbe32,
+        0xa8b6e37e, 0xc3293d46, 0x48de5369, 0x6413e680, 0xa2ae0810, 0xdd6db224, 0x69852dfd, 0x09072166,
+        0xb39a460a, 0x6445c0dd, 0x586cdecf, 0x1c20c8ae, 0x5bbef7dd, 0x1b588d40, 0xccd2017f, 0x6bb4e3bb,
+        0xdda26a7e, 0x3a59ff45, 0x3e350a44, 0xbcb4cdd5, 0x72eacea8, 0xfa6484bb, 0x8d6612ae, 0xbf3c6f47,
+        0xd29be463, 0x542f5d9e, 0xaec2771b, 0xf64e6370, 0x740e0d8d, 0xe75b1357, 0xf8721671, 0xaf537d5d,
+        0x4040cb08, 0x4eb4e2cc, 0x34d2466a, 0x0115af84, 0xe1b00428, 0x95983a1d, 0x06b89fb4, 0xce6ea048,
+        0x6f3f3b82, 0x3520ab82, 0x011a1d4b, 0x277227f8, 0x611560b1, 0xe7933fdc, 0xbb3a792b, 0x344525bd,
+        0xa08839e1, 0x51ce794b, 0x2f32c9b7, 0xa01fbac9, 0xe01cc87e, 0xbcc7d1f6, 0xcf0111c3, 0xa1e8aac7,
+        0x1a908749, 0xd44fbd9a, 0xd0dadecb, 0xd50ada38, 0x0339c32a, 0xc6913667, 0x8df9317c, 0xe0b12b4f,
+        0xf79e59b7, 0x43f5bb3a, 0xf2d519ff, 0x27d9459c, 0xbf97222c, 0x15e6fc2a, 0x0f91fc71, 0x9b941525,
+        0xfae59361, 0xceb69ceb, 0xc2a86459, 0x12baa8d1, 0xb6c1075e, 0xe3056a0c, 0x10d25065, 0xcb03a442,
+        0xe0ec6e0e, 0x1698db3b, 0x4c98a0be, 0x3278e964, 0x9f1f9532, 0xe0d392df, 0xd3a0342b, 0x8971f21e,
+        0x1b0a7441, 0x4ba3348c, 0xc5be7120, 0xc37632d8, 0xdf359f8d, 0x9b992f2e, 0xe60b6f47, 0x0fe3f11d,
+        0xe54cda54, 0x1edad891, 0xce6279cf, 0xcd3e7e6f, 0x1618b166, 0xfd2c1d05, 0x848fd2c5, 0xf6fb2299,
+        0xf523f357, 0xa6327623, 0x93a83531, 0x56cccd02, 0xacf08162, 0x5a75ebb5, 0x6e163697, 0x88d273cc,
+        0xde966292, 0x81b949d0, 0x4c50901b, 0x71c65614, 0xe6c6c7bd, 0x327a140a, 0x45e1d006, 0xc3f27b9a,
+        0xc9aa53fd, 0x62a80f00, 0xbb25bfe2, 0x35bdd2f6, 0x71126905, 0xb2040222, 0xb6cbcf7c, 0xcd769c2b,
+        0x53113ec0, 0x1640e3d3, 0x38abbd60, 0x2547adf0, 0xba38209c, 0xf746ce76, 0x77afa1c5, 0x20756060,
+        0x85cbfe4e, 0x8ae88dd8, 0x7aaaf9b0, 0x4cf9aa7e, 0x1948c25c, 0x02fb8a8c, 0x01c36ae4, 0xd6ebe1f9,
+        0x90d4f869, 0xa65cdea0, 0x3f09252d, 0xc208e69f, 0xb74e6132, 0xce77e25b, 0x578fdfe3, 0x3ac372e6
+    ];
+
+    /**
+     * P-Array consists of 18 32-bit subkeys
+     *
+     * @var array
+     * @access private
+     */
+    private static $parray = [
+        0x243f6a88, 0x85a308d3, 0x13198a2e, 0x03707344, 0xa4093822, 0x299f31d0,
+        0x082efa98, 0xec4e6c89, 0x452821e6, 0x38d01377, 0xbe5466cf, 0x34e90c6c,
+        0xc0ac29b7, 0xc97c50dd, 0x3f84d5b5, 0xb5470917, 0x9216d5d9, 0x8979fb1b
+    ];
+
+    /**
+     * The BCTX-working Array
+     *
+     * Holds the expanded key [p] and the key-depended s-boxes [sb]
+     *
+     * @var array
+     * @access private
+     */
+    private $bctx;
+
+    /**
+     * Holds the last used key
+     *
+     * @var array
+     * @access private
+     */
+    private $kl;
+
+    /**
+     * The Key Length (in bytes)
+     * {@internal The max value is 256 / 8 = 32, the min value is 128 / 8 = 16.  Exists in conjunction with $Nk
+     *    because the encryption / decryption / key schedule creation requires this number and not $key_length.  We could
+     *    derive this from $key_length or vice versa, but that'd mean we'd have to do multiple shift operations, so in lieu
+     *    of that, we'll just precompute it once.}
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::setKeyLength()
+     * @var int
+     * @access private
+     */
+    protected $key_length = 16;
+
+    /**
+     * Default Constructor.
+     *
+     * @param string $mode
+     * @access public
+     * @throws \InvalidArgumentException if an invalid / unsupported mode is provided
+     */
+    public function __construct($mode)
+    {
+        parent::__construct($mode);
+
+        if ($this->mode == self::MODE_STREAM) {
+            throw new \InvalidArgumentException('Block ciphers cannot be ran in stream mode');
+        }
+    }
+
+    /**
+     * Sets the key length.
+     *
+     * Key lengths can be between 32 and 448 bits.
+     *
+     * @access public
+     * @param int $length
+     */
+    public function setKeyLength($length)
+    {
+        if ($length < 32 || $length > 448) {
+                throw new \LengthException('Key size of ' . $length . ' bits is not supported by this algorithm. Only keys of sizes between 32 and 448 bits are supported');
+        }
+
+        $this->key_length = $length >> 3;
+
+        parent::setKeyLength($length);
+    }
+
+    /**
+     * Test for engine validity
+     *
+     * This is mainly just a wrapper to set things up for \phpseclib3\Crypt\Common\SymmetricKey::isValidEngine()
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::isValidEngine()
+     * @param int $engine
+     * @access protected
+     * @return bool
+     */
+    protected function isValidEngineHelper($engine)
+    {
+        if ($engine == self::ENGINE_OPENSSL) {
+            if (version_compare(PHP_VERSION, '5.3.7') < 0 && $this->key_length != 16) {
+                return false;
+            }
+            if ($this->key_length < 16) {
+                return false;
+            }
+            self::$cipher_name_openssl_ecb = 'bf-ecb';
+            $this->cipher_name_openssl = 'bf-' . $this->openssl_translate_mode();
+        }
+
+        return parent::isValidEngineHelper($engine);
+    }
+
+    /**
+     * Setup the key (expansion)
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::_setupKey()
+     * @access private
+     */
+    protected function setupKey()
+    {
+        if (isset($this->kl['key']) && $this->key === $this->kl['key']) {
+            // already expanded
+            return;
+        }
+        $this->kl = ['key' => $this->key];
+
+        /* key-expanding p[] and S-Box building sb[] */
+        $this->bctx = [
+            'p'  => [],
+            'sb' => [
+                self::$sbox0,
+                self::$sbox1,
+                self::$sbox2,
+                self::$sbox3
+            ]
+        ];
+
+        // unpack binary string in unsigned chars
+        $key  = array_values(unpack('C*', $this->key));
+        $keyl = count($key);
+        for ($j = 0, $i = 0; $i < 18; ++$i) {
+            // xor P1 with the first 32-bits of the key, xor P2 with the second 32-bits ...
+            for ($data = 0, $k = 0; $k < 4; ++$k) {
+                $data = ($data << 8) | $key[$j];
+                if (++$j >= $keyl) {
+                    $j = 0;
+                }
+            }
+            $this->bctx['p'][] = self::$parray[$i] ^ $data;
+        }
+
+        // encrypt the zero-string, replace P1 and P2 with the encrypted data,
+        // encrypt P3 and P4 with the new P1 and P2, do it with all P-array and subkeys
+        $data = "\0\0\0\0\0\0\0\0";
+        for ($i = 0; $i < 18; $i += 2) {
+            list($l, $r) = array_values(unpack('N*', $data = $this->encryptBlock($data)));
+            $this->bctx['p'][$i    ] = $l;
+            $this->bctx['p'][$i + 1] = $r;
+        }
+        for ($i = 0; $i < 4; ++$i) {
+            for ($j = 0; $j < 256; $j += 2) {
+                list($l, $r) = array_values(unpack('N*', $data = $this->encryptBlock($data)));
+                $this->bctx['sb'][$i][$j    ] = $l;
+                $this->bctx['sb'][$i][$j + 1] = $r;
+            }
+        }
+    }
+
+    /**
+     * Encrypts a block
+     *
+     * @access private
+     * @param string $in
+     * @return string
+     */
+    protected function encryptBlock($in)
+    {
+        $p = $this->bctx['p'];
+        // extract($this->bctx['sb'], EXTR_PREFIX_ALL, 'sb'); // slower
+        $sb_0 = $this->bctx['sb'][0];
+        $sb_1 = $this->bctx['sb'][1];
+        $sb_2 = $this->bctx['sb'][2];
+        $sb_3 = $this->bctx['sb'][3];
+
+        $in = unpack('N*', $in);
+        $l = $in[1];
+        $r = $in[2];
+
+        for ($i = 0; $i < 16; $i+= 2) {
+            $l^= $p[$i];
+            $r^= self::safe_intval((self::safe_intval($sb_0[$l >> 24 & 0xff]  + $sb_1[$l >> 16 & 0xff]) ^
+                  $sb_2[$l >>  8 & 0xff]) +
+                  $sb_3[$l       & 0xff]);
+
+            $r^= $p[$i + 1];
+            $l^= self::safe_intval((self::safe_intval($sb_0[$r >> 24 & 0xff]  + $sb_1[$r >> 16 & 0xff]) ^
+                  $sb_2[$r >>  8 & 0xff]) +
+                  $sb_3[$r       & 0xff]);
+        }
+        return pack('N*', $r ^ $p[17], $l ^ $p[16]);
+    }
+
+    /**
+     * Decrypts a block
+     *
+     * @access private
+     * @param string $in
+     * @return string
+     */
+    protected function decryptBlock($in)
+    {
+        $p = $this->bctx['p'];
+        $sb_0 = $this->bctx['sb'][0];
+        $sb_1 = $this->bctx['sb'][1];
+        $sb_2 = $this->bctx['sb'][2];
+        $sb_3 = $this->bctx['sb'][3];
+
+        $in = unpack('N*', $in);
+        $l = $in[1];
+        $r = $in[2];
+
+        for ($i = 17; $i > 2; $i-= 2) {
+            $l^= $p[$i];
+            $r^= self::safe_intval((self::safe_intval($sb_0[$l >> 24 & 0xff] + $sb_1[$l >> 16 & 0xff]) ^
+                  $sb_2[$l >>  8 & 0xff]) +
+                  $sb_3[$l       & 0xff]);
+
+            $r^= $p[$i - 1];
+            $l^= self::safe_intval((self::safe_intval($sb_0[$r >> 24 & 0xff] + $sb_1[$r >> 16 & 0xff]) ^
+                  $sb_2[$r >>  8 & 0xff]) +
+                  $sb_3[$r       & 0xff]);
+        }
+        return pack('N*', $r ^ $p[0], $l ^ $p[1]);
+    }
+
+    /**
+     * Setup the performance-optimized function for de/encrypt()
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::_setupInlineCrypt()
+     * @access private
+     */
+    protected function setupInlineCrypt()
+    {
+        $p = $this->bctx['p'];
+        $init_crypt = '
+            static $sb_0, $sb_1, $sb_2, $sb_3;
+            if (!$sb_0) {
+                $sb_0 = $this->bctx["sb"][0];
+                $sb_1 = $this->bctx["sb"][1];
+                $sb_2 = $this->bctx["sb"][2];
+                $sb_3 = $this->bctx["sb"][3];
+            }
+        ';
+
+        $safeint = self::safe_intval_inline();
+
+        // Generating encrypt code:
+        $encrypt_block = '
+            $in = unpack("N*", $in);
+            $l = $in[1];
+            $r = $in[2];
+        ';
+        for ($i = 0; $i < 16; $i+= 2) {
+            $encrypt_block.= '
+                $l^= ' . $p[$i] . ';
+                $r^= ' . sprintf($safeint, '(' . sprintf($safeint, '$sb_0[$l >> 24 & 0xff] + $sb_1[$l >> 16 & 0xff]') . ' ^
+                      $sb_2[$l >>  8 & 0xff]) +
+                      $sb_3[$l       & 0xff]') . ';
+
+                $r^= ' . $p[$i + 1] . ';
+                $l^= ' . sprintf($safeint, '(' . sprintf($safeint, '$sb_0[$r >> 24 & 0xff] + $sb_1[$r >> 16 & 0xff]') . '  ^
+                      $sb_2[$r >>  8 & 0xff]) +
+                      $sb_3[$r       & 0xff]') . ';
+            ';
+        }
+        $encrypt_block.= '
+            $in = pack("N*",
+                $r ^ ' . $p[17] . ',
+                $l ^ ' . $p[16] . '
+            );
+        ';
+         // Generating decrypt code:
+        $decrypt_block = '
+            $in = unpack("N*", $in);
+            $l = $in[1];
+            $r = $in[2];
+        ';
+
+        for ($i = 17; $i > 2; $i-= 2) {
+            $decrypt_block.= '
+                $l^= ' . $p[$i] . ';
+                $r^= ' . sprintf($safeint, '(' . sprintf($safeint, '$sb_0[$l >> 24 & 0xff] + $sb_1[$l >> 16 & 0xff]') . ' ^
+                      $sb_2[$l >>  8 & 0xff]) +
+                      $sb_3[$l       & 0xff]') . ';
+
+                $r^= ' . $p[$i - 1] . ';
+                $l^= ' . sprintf($safeint, '(' . sprintf($safeint, '$sb_0[$r >> 24 & 0xff] + $sb_1[$r >> 16 & 0xff]') . ' ^
+                      $sb_2[$r >>  8 & 0xff]) +
+                      $sb_3[$r       & 0xff]') . ';
+            ';
+        }
+
+        $decrypt_block.= '
+            $in = pack("N*",
+                $r ^ ' . $p[0] . ',
+                $l ^ ' . $p[1] . '
+            );
+        ';
+
+        $this->inline_crypt = $this->createInlineCryptFunction(
+            [
+               'init_crypt'    => $init_crypt,
+               'init_encrypt'  => '',
+               'init_decrypt'  => '',
+               'encrypt_block' => $encrypt_block,
+               'decrypt_block' => $decrypt_block
+            ]
+        );
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/ChaCha20.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/ChaCha20.php
new file mode 100644
index 000000000..0bf1c2eba
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/ChaCha20.php
@@ -0,0 +1,797 @@
+<?php
+
+/**
+ * Pure-PHP implementation of ChaCha20.
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   ChaCha20
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2019 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt;
+
+use phpseclib3\Exception\InsufficientSetupException;
+use phpseclib3\Exception\BadDecryptionException;
+
+/**
+ * Pure-PHP implementation of ChaCha20.
+ *
+ * @package ChaCha20
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class ChaCha20 extends Salsa20
+{
+    /**
+     * The OpenSSL specific name of the cipher
+     *
+     * @var string
+     */
+    protected $cipher_name_openssl = 'chacha20';
+
+    /**
+     * Test for engine validity
+     *
+     * This is mainly just a wrapper to set things up for \phpseclib3\Crypt\Common\SymmetricKey::isValidEngine()
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::__construct()
+     * @param int $engine
+     * @access protected
+     * @return bool
+     */
+    protected function isValidEngineHelper($engine)
+    {
+        switch ($engine) {
+            case self::ENGINE_LIBSODIUM:
+                // PHP 7.2.0 (30 Nov 2017) added support for libsodium
+
+                // we could probably make it so that if $this->counter == 0 then the first block would be done with either OpenSSL
+                // or PHP and then subsequent blocks would then be done with libsodium but idk - it's not a high priority atm
+
+                // we could also make it so that if $this->counter == 0 and $this->continuousBuffer then do the first string
+                // with libsodium and subsequent strings with openssl or pure-PHP but again not a high priority
+                return function_exists('sodium_crypto_aead_chacha20poly1305_ietf_encrypt') &&
+                       $this->key_length == 32 &&
+                       (($this->usePoly1305 && !isset($this->poly1305Key) && $this->counter == 0) || $this->counter == 1) &&
+                       !$this->continuousBuffer;
+            case self::ENGINE_OPENSSL:
+                // OpenSSL 1.1.0 (released 25 Aug 2016) added support for chacha20.
+                // PHP didn't support OpenSSL 1.1.0 until 7.0.19 (11 May 2017)
+
+                // if you attempt to provide openssl with a 128 bit key (as opposed to a 256 bit key) openssl will null
+                // pad the key to 256 bits and still use the expansion constant for 256-bit keys. the fact that
+                // openssl treats the IV as both the counter and nonce, however, let's us use openssl in continuous mode
+                // whereas libsodium does not
+                if ($this->key_length != 32) {
+                    return false;
+                }
+        }
+
+        return parent::isValidEngineHelper($engine);
+    }
+
+    /**
+     * Encrypts a message.
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::decrypt()
+     * @see self::crypt()
+     * @param string $plaintext
+     * @return string $ciphertext
+     */
+    public function encrypt($plaintext)
+    {
+        $this->setup();
+
+        if ($this->engine == self::ENGINE_LIBSODIUM) {
+            return $this->encrypt_with_libsodium($plaintext);
+        }
+
+        return parent::encrypt($plaintext);
+    }
+
+    /**
+     * Decrypts a message.
+     *
+     * $this->decrypt($this->encrypt($plaintext)) == $this->encrypt($this->encrypt($plaintext)).
+     * At least if the continuous buffer is disabled.
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::encrypt()
+     * @see self::crypt()
+     * @param string $ciphertext
+     * @return string $plaintext
+     */
+    public function decrypt($ciphertext)
+    {
+        $this->setup();
+
+        if ($this->engine == self::ENGINE_LIBSODIUM) {
+            return $this->decrypt_with_libsodium($ciphertext);
+        }
+
+        return parent::decrypt($ciphertext);
+    }
+
+    /**
+     * Encrypts a message with libsodium
+     *
+     * @see self::encrypt()
+     * @param string $plaintext
+     * @return string $text
+     */
+    private function encrypt_with_libsodium($plaintext)
+    {
+        $params = [$plaintext, $this->aad, $this->nonce, $this->key];
+        $ciphertext = strlen($this->nonce) == 8 ?
+            sodium_crypto_aead_chacha20poly1305_encrypt(...$params) :
+            sodium_crypto_aead_chacha20poly1305_ietf_encrypt(...$params);
+        if (!$this->usePoly1305) {
+            return substr($ciphertext, 0, strlen($plaintext));
+        }
+
+        $newciphertext = substr($ciphertext, 0, strlen($plaintext));
+
+        $this->newtag = $this->usingGeneratedPoly1305Key && strlen($this->nonce) == 12 ?
+            substr($ciphertext, strlen($plaintext)) :
+            $this->poly1305($newciphertext);
+
+        return $newciphertext;
+    }
+
+    /**
+     * Decrypts a message with libsodium
+     *
+     * @see self::decrypt()
+     * @param string $ciphertext
+     * @return string $text
+     */
+    private function decrypt_with_libsodium($ciphertext)
+    {
+        $params = [$ciphertext, $this->aad, $this->nonce, $this->key];
+
+        if (isset($this->poly1305Key)) {
+            if ($this->oldtag === false) {
+                throw new InsufficientSetupException('Authentication Tag has not been set');
+            }
+            if ($this->usingGeneratedPoly1305Key && strlen($this->nonce) == 12) {
+                $plaintext = sodium_crypto_aead_chacha20poly1305_ietf_decrypt(...$params);
+                $this->oldtag = false;
+                if ($plaintext === false) {
+                    throw new BadDecryptionException('Derived authentication tag and supplied authentication tag do not match');
+                }
+                return $plaintext;
+            }
+            $newtag = $this->poly1305($ciphertext);
+            if ($this->oldtag != substr($newtag, 0, strlen($this->oldtag))) {
+                $this->oldtag = false;
+                throw new BadDecryptionException('Derived authentication tag and supplied authentication tag do not match');
+            }
+            $this->oldtag = false;
+        }
+
+        $plaintext = strlen($this->nonce) == 8 ?
+            sodium_crypto_aead_chacha20poly1305_encrypt(...$params) :
+            sodium_crypto_aead_chacha20poly1305_ietf_encrypt(...$params);
+
+        return substr($plaintext, 0, strlen($ciphertext));
+    }
+
+    /**
+     * Sets the nonce.
+     *
+     * @param string $nonce
+     */
+    public function setNonce($nonce)
+    {
+        if (!is_string($nonce)) {
+            throw new \UnexpectedValueException('The nonce should be a string');
+        }
+
+        /*
+          from https://tools.ietf.org/html/rfc7539#page-7
+
+          "Note also that the original ChaCha had a 64-bit nonce and 64-bit
+           block count.  We have modified this here to be more consistent with
+           recommendations in Section 3.2 of [RFC5116]."
+         */
+        switch (strlen($nonce)) {
+            case 8:  // 64 bits
+            case 12: // 96 bits
+                break;
+            default:
+                throw new \LengthException('Nonce of size ' . strlen($nonce) . ' not supported by this algorithm. Only 64-bit nonces or 96-bit nonces are supported');
+        }
+
+        $this->nonce = $nonce;
+        $this->changed = true;
+        $this->setEngine();
+    }
+
+    /**
+     * Setup the self::ENGINE_INTERNAL $engine
+     *
+     * (re)init, if necessary, the internal cipher $engine
+     *
+     * _setup() will be called each time if $changed === true
+     * typically this happens when using one or more of following public methods:
+     *
+     * - setKey()
+     *
+     * - setNonce()
+     *
+     * - First run of encrypt() / decrypt() with no init-settings
+     *
+     * @see self::setKey()
+     * @see self::setNonce()
+     * @see self::disableContinuousBuffer()
+     */
+    protected function setup()
+    {
+        if (!$this->changed) {
+            return;
+        }
+
+        $this->enbuffer = $this->debuffer = ['ciphertext' => '', 'counter' => $this->counter];
+
+        $this->changed = $this->nonIVChanged = false;
+
+        if ($this->nonce === false) {
+            throw new InsufficientSetupException('No nonce has been defined');
+        }
+
+        if ($this->key === false) {
+            throw new InsufficientSetupException('No key has been defined');
+        }
+
+        if ($this->usePoly1305 && !isset($this->poly1305Key)) {
+            $this->usingGeneratedPoly1305Key = true;
+            if ($this->engine == self::ENGINE_LIBSODIUM) {
+                return;
+            }
+            $this->createPoly1305Key();
+        }
+
+        $key = $this->key;
+        if (strlen($key) == 16) {
+            $constant = 'expand 16-byte k';
+            $key.= $key;
+        } else {
+            $constant = 'expand 32-byte k';
+        }
+
+        $this->p1 = $constant . $key;
+        $this->p2 = $this->nonce;
+        if (strlen($this->nonce) == 8) {
+            $this->p2 = "\0\0\0\0" . $this->p2;
+        }
+    }
+
+    /**
+     * The quarterround function
+     *
+     * @param int $a
+     * @param int $b
+     * @param int $c
+     * @param int $d
+     */
+    protected static function quarterRound(&$a, &$b, &$c, &$d)
+    {
+        $a+= $b; $d = self::leftRotate($d ^ $a, 16);
+        $c+= $d; $b = self::leftRotate($b ^ $c, 12);
+        $a+= $b; $d = self::leftRotate($d ^ $a, 8);
+        $c+= $d; $b = self::leftRotate($b ^ $c, 7);
+    }
+
+    /**
+     * The doubleround function
+     *
+     * @param int $x0 (by reference)
+     * @param int $x1 (by reference)
+     * @param int $x2 (by reference)
+     * @param int $x3 (by reference)
+     * @param int $x4 (by reference)
+     * @param int $x5 (by reference)
+     * @param int $x6 (by reference)
+     * @param int $x7 (by reference)
+     * @param int $x8 (by reference)
+     * @param int $x9 (by reference)
+     * @param int $x10 (by reference)
+     * @param int $x11 (by reference)
+     * @param int $x12 (by reference)
+     * @param int $x13 (by reference)
+     * @param int $x14 (by reference)
+     * @param int $x15 (by reference)
+     */
+    protected static function doubleRound(&$x0, &$x1, &$x2, &$x3, &$x4, &$x5, &$x6, &$x7, &$x8, &$x9, &$x10, &$x11, &$x12, &$x13, &$x14, &$x15)
+    {
+        // columnRound
+        static::quarterRound($x0,  $x4,  $x8, $x12);
+        static::quarterRound($x1,  $x5,  $x9, $x13);
+        static::quarterRound($x2,  $x6, $x10, $x14);
+        static::quarterRound($x3,  $x7, $x11, $x15);
+        // rowRound
+        static::quarterRound($x0, $x5, $x10, $x15);
+        static::quarterRound($x1, $x6, $x11, $x12);
+        static::quarterRound($x2, $x7,  $x8, $x13);
+        static::quarterRound($x3, $x4,  $x9, $x14);
+    }
+
+    /**
+     * The Salsa20 hash function function
+     *
+     * On my laptop this loop unrolled / function dereferenced version of parent::salsa20 encrypts 1mb of text in
+     * 0.65s vs the 0.85s that it takes with the parent method.
+     *
+     * If we were free to assume that the host OS would always be 64-bits then the if condition in leftRotate could
+     * be eliminated and we could knock this done to 0.60s.
+     *
+     * For comparison purposes, RC4 takes 0.16s and AES in CTR mode with the Eval engine takes 0.48s.
+     * AES in CTR mode with the PHP engine takes 1.19s. Salsa20 / ChaCha20 do not benefit as much from the Eval
+     * approach due to the fact that there are a lot less variables to de-reference, fewer loops to unroll, etc
+     *
+     * @param string $x
+     */
+    protected static function salsa20($x)
+    {
+        list(, $x0, $x1, $x2, $x3, $x4, $x5, $x6, $x7, $x8, $x9, $x10, $x11, $x12, $x13, $x14, $x15) = unpack('V*', $x);
+        $z0 = $x0;
+        $z1 = $x1;
+        $z2 = $x2;
+        $z3 = $x3;
+        $z4 = $x4;
+        $z5 = $x5;
+        $z6 = $x6;
+        $z7 = $x7;
+        $z8 = $x8;
+        $z9 = $x9;
+        $z10 = $x10;
+        $z11 = $x11;
+        $z12 = $x12;
+        $z13 = $x13;
+        $z14 = $x14;
+        $z15 = $x15;
+
+        // columnRound
+        $x0+= $x4; $x12 = self::leftRotate($x12 ^ $x0, 16);
+        $x8+= $x12; $x4 = self::leftRotate($x4 ^ $x8, 12);
+        $x0+= $x4; $x12 = self::leftRotate($x12 ^ $x0, 8);
+        $x8+= $x12; $x4 = self::leftRotate($x4 ^ $x8, 7);
+
+        $x1+= $x5; $x13 = self::leftRotate($x13 ^ $x1, 16);
+        $x9+= $x13; $x5 = self::leftRotate($x5 ^ $x9, 12);
+        $x1+= $x5; $x13 = self::leftRotate($x13 ^ $x1, 8);
+        $x9+= $x13; $x5 = self::leftRotate($x5 ^ $x9, 7);
+
+        $x2+= $x6; $x14 = self::leftRotate($x14 ^ $x2, 16);
+        $x10+= $x14; $x6 = self::leftRotate($x6 ^ $x10, 12);
+        $x2+= $x6; $x14 = self::leftRotate($x14 ^ $x2, 8);
+        $x10+= $x14; $x6 = self::leftRotate($x6 ^ $x10, 7);
+
+        $x3+= $x7; $x15 = self::leftRotate($x15 ^ $x3, 16);
+        $x11+= $x15; $x7 = self::leftRotate($x7 ^ $x11, 12);
+        $x3+= $x7; $x15 = self::leftRotate($x15 ^ $x3, 8);
+        $x11+= $x15; $x7 = self::leftRotate($x7 ^ $x11, 7);
+
+        // rowRound
+        $x0+= $x5; $x15 = self::leftRotate($x15 ^ $x0, 16);
+        $x10+= $x15; $x5 = self::leftRotate($x5 ^ $x10, 12);
+        $x0+= $x5; $x15 = self::leftRotate($x15 ^ $x0, 8);
+        $x10+= $x15; $x5 = self::leftRotate($x5 ^ $x10, 7);
+
+        $x1+= $x6; $x12 = self::leftRotate($x12 ^ $x1, 16);
+        $x11+= $x12; $x6 = self::leftRotate($x6 ^ $x11, 12);
+        $x1+= $x6; $x12 = self::leftRotate($x12 ^ $x1, 8);
+        $x11+= $x12; $x6 = self::leftRotate($x6 ^ $x11, 7);
+
+        $x2+= $x7; $x13 = self::leftRotate($x13 ^ $x2, 16);
+        $x8+= $x13; $x7 = self::leftRotate($x7 ^ $x8, 12);
+        $x2+= $x7; $x13 = self::leftRotate($x13 ^ $x2, 8);
+        $x8+= $x13; $x7 = self::leftRotate($x7 ^ $x8, 7);
+
+        $x3+= $x4; $x14 = self::leftRotate($x14 ^ $x3, 16);
+        $x9+= $x14; $x4 = self::leftRotate($x4 ^ $x9, 12);
+        $x3+= $x4; $x14 = self::leftRotate($x14 ^ $x3, 8);
+        $x9+= $x14; $x4 = self::leftRotate($x4 ^ $x9, 7);
+
+        // columnRound
+        $x0+= $x4; $x12 = self::leftRotate($x12 ^ $x0, 16);
+        $x8+= $x12; $x4 = self::leftRotate($x4 ^ $x8, 12);
+        $x0+= $x4; $x12 = self::leftRotate($x12 ^ $x0, 8);
+        $x8+= $x12; $x4 = self::leftRotate($x4 ^ $x8, 7);
+
+        $x1+= $x5; $x13 = self::leftRotate($x13 ^ $x1, 16);
+        $x9+= $x13; $x5 = self::leftRotate($x5 ^ $x9, 12);
+        $x1+= $x5; $x13 = self::leftRotate($x13 ^ $x1, 8);
+        $x9+= $x13; $x5 = self::leftRotate($x5 ^ $x9, 7);
+
+        $x2+= $x6; $x14 = self::leftRotate($x14 ^ $x2, 16);
+        $x10+= $x14; $x6 = self::leftRotate($x6 ^ $x10, 12);
+        $x2+= $x6; $x14 = self::leftRotate($x14 ^ $x2, 8);
+        $x10+= $x14; $x6 = self::leftRotate($x6 ^ $x10, 7);
+
+        $x3+= $x7; $x15 = self::leftRotate($x15 ^ $x3, 16);
+        $x11+= $x15; $x7 = self::leftRotate($x7 ^ $x11, 12);
+        $x3+= $x7; $x15 = self::leftRotate($x15 ^ $x3, 8);
+        $x11+= $x15; $x7 = self::leftRotate($x7 ^ $x11, 7);
+
+        // rowRound
+        $x0+= $x5; $x15 = self::leftRotate($x15 ^ $x0, 16);
+        $x10+= $x15; $x5 = self::leftRotate($x5 ^ $x10, 12);
+        $x0+= $x5; $x15 = self::leftRotate($x15 ^ $x0, 8);
+        $x10+= $x15; $x5 = self::leftRotate($x5 ^ $x10, 7);
+
+        $x1+= $x6; $x12 = self::leftRotate($x12 ^ $x1, 16);
+        $x11+= $x12; $x6 = self::leftRotate($x6 ^ $x11, 12);
+        $x1+= $x6; $x12 = self::leftRotate($x12 ^ $x1, 8);
+        $x11+= $x12; $x6 = self::leftRotate($x6 ^ $x11, 7);
+
+        $x2+= $x7; $x13 = self::leftRotate($x13 ^ $x2, 16);
+        $x8+= $x13; $x7 = self::leftRotate($x7 ^ $x8, 12);
+        $x2+= $x7; $x13 = self::leftRotate($x13 ^ $x2, 8);
+        $x8+= $x13; $x7 = self::leftRotate($x7 ^ $x8, 7);
+
+        $x3+= $x4; $x14 = self::leftRotate($x14 ^ $x3, 16);
+        $x9+= $x14; $x4 = self::leftRotate($x4 ^ $x9, 12);
+        $x3+= $x4; $x14 = self::leftRotate($x14 ^ $x3, 8);
+        $x9+= $x14; $x4 = self::leftRotate($x4 ^ $x9, 7);
+
+        // columnRound
+        $x0+= $x4; $x12 = self::leftRotate($x12 ^ $x0, 16);
+        $x8+= $x12; $x4 = self::leftRotate($x4 ^ $x8, 12);
+        $x0+= $x4; $x12 = self::leftRotate($x12 ^ $x0, 8);
+        $x8+= $x12; $x4 = self::leftRotate($x4 ^ $x8, 7);
+
+        $x1+= $x5; $x13 = self::leftRotate($x13 ^ $x1, 16);
+        $x9+= $x13; $x5 = self::leftRotate($x5 ^ $x9, 12);
+        $x1+= $x5; $x13 = self::leftRotate($x13 ^ $x1, 8);
+        $x9+= $x13; $x5 = self::leftRotate($x5 ^ $x9, 7);
+
+        $x2+= $x6; $x14 = self::leftRotate($x14 ^ $x2, 16);
+        $x10+= $x14; $x6 = self::leftRotate($x6 ^ $x10, 12);
+        $x2+= $x6; $x14 = self::leftRotate($x14 ^ $x2, 8);
+        $x10+= $x14; $x6 = self::leftRotate($x6 ^ $x10, 7);
+
+        $x3+= $x7; $x15 = self::leftRotate($x15 ^ $x3, 16);
+        $x11+= $x15; $x7 = self::leftRotate($x7 ^ $x11, 12);
+        $x3+= $x7; $x15 = self::leftRotate($x15 ^ $x3, 8);
+        $x11+= $x15; $x7 = self::leftRotate($x7 ^ $x11, 7);
+
+        // rowRound
+        $x0+= $x5; $x15 = self::leftRotate($x15 ^ $x0, 16);
+        $x10+= $x15; $x5 = self::leftRotate($x5 ^ $x10, 12);
+        $x0+= $x5; $x15 = self::leftRotate($x15 ^ $x0, 8);
+        $x10+= $x15; $x5 = self::leftRotate($x5 ^ $x10, 7);
+
+        $x1+= $x6; $x12 = self::leftRotate($x12 ^ $x1, 16);
+        $x11+= $x12; $x6 = self::leftRotate($x6 ^ $x11, 12);
+        $x1+= $x6; $x12 = self::leftRotate($x12 ^ $x1, 8);
+        $x11+= $x12; $x6 = self::leftRotate($x6 ^ $x11, 7);
+
+        $x2+= $x7; $x13 = self::leftRotate($x13 ^ $x2, 16);
+        $x8+= $x13; $x7 = self::leftRotate($x7 ^ $x8, 12);
+        $x2+= $x7; $x13 = self::leftRotate($x13 ^ $x2, 8);
+        $x8+= $x13; $x7 = self::leftRotate($x7 ^ $x8, 7);
+
+        $x3+= $x4; $x14 = self::leftRotate($x14 ^ $x3, 16);
+        $x9+= $x14; $x4 = self::leftRotate($x4 ^ $x9, 12);
+        $x3+= $x4; $x14 = self::leftRotate($x14 ^ $x3, 8);
+        $x9+= $x14; $x4 = self::leftRotate($x4 ^ $x9, 7);
+
+        // columnRound
+        $x0+= $x4; $x12 = self::leftRotate($x12 ^ $x0, 16);
+        $x8+= $x12; $x4 = self::leftRotate($x4 ^ $x8, 12);
+        $x0+= $x4; $x12 = self::leftRotate($x12 ^ $x0, 8);
+        $x8+= $x12; $x4 = self::leftRotate($x4 ^ $x8, 7);
+
+        $x1+= $x5; $x13 = self::leftRotate($x13 ^ $x1, 16);
+        $x9+= $x13; $x5 = self::leftRotate($x5 ^ $x9, 12);
+        $x1+= $x5; $x13 = self::leftRotate($x13 ^ $x1, 8);
+        $x9+= $x13; $x5 = self::leftRotate($x5 ^ $x9, 7);
+
+        $x2+= $x6; $x14 = self::leftRotate($x14 ^ $x2, 16);
+        $x10+= $x14; $x6 = self::leftRotate($x6 ^ $x10, 12);
+        $x2+= $x6; $x14 = self::leftRotate($x14 ^ $x2, 8);
+        $x10+= $x14; $x6 = self::leftRotate($x6 ^ $x10, 7);
+
+        $x3+= $x7; $x15 = self::leftRotate($x15 ^ $x3, 16);
+        $x11+= $x15; $x7 = self::leftRotate($x7 ^ $x11, 12);
+        $x3+= $x7; $x15 = self::leftRotate($x15 ^ $x3, 8);
+        $x11+= $x15; $x7 = self::leftRotate($x7 ^ $x11, 7);
+
+        // rowRound
+        $x0+= $x5; $x15 = self::leftRotate($x15 ^ $x0, 16);
+        $x10+= $x15; $x5 = self::leftRotate($x5 ^ $x10, 12);
+        $x0+= $x5; $x15 = self::leftRotate($x15 ^ $x0, 8);
+        $x10+= $x15; $x5 = self::leftRotate($x5 ^ $x10, 7);
+
+        $x1+= $x6; $x12 = self::leftRotate($x12 ^ $x1, 16);
+        $x11+= $x12; $x6 = self::leftRotate($x6 ^ $x11, 12);
+        $x1+= $x6; $x12 = self::leftRotate($x12 ^ $x1, 8);
+        $x11+= $x12; $x6 = self::leftRotate($x6 ^ $x11, 7);
+
+        $x2+= $x7; $x13 = self::leftRotate($x13 ^ $x2, 16);
+        $x8+= $x13; $x7 = self::leftRotate($x7 ^ $x8, 12);
+        $x2+= $x7; $x13 = self::leftRotate($x13 ^ $x2, 8);
+        $x8+= $x13; $x7 = self::leftRotate($x7 ^ $x8, 7);
+
+        $x3+= $x4; $x14 = self::leftRotate($x14 ^ $x3, 16);
+        $x9+= $x14; $x4 = self::leftRotate($x4 ^ $x9, 12);
+        $x3+= $x4; $x14 = self::leftRotate($x14 ^ $x3, 8);
+        $x9+= $x14; $x4 = self::leftRotate($x4 ^ $x9, 7);
+
+        // columnRound
+        $x0+= $x4; $x12 = self::leftRotate($x12 ^ $x0, 16);
+        $x8+= $x12; $x4 = self::leftRotate($x4 ^ $x8, 12);
+        $x0+= $x4; $x12 = self::leftRotate($x12 ^ $x0, 8);
+        $x8+= $x12; $x4 = self::leftRotate($x4 ^ $x8, 7);
+
+        $x1+= $x5; $x13 = self::leftRotate($x13 ^ $x1, 16);
+        $x9+= $x13; $x5 = self::leftRotate($x5 ^ $x9, 12);
+        $x1+= $x5; $x13 = self::leftRotate($x13 ^ $x1, 8);
+        $x9+= $x13; $x5 = self::leftRotate($x5 ^ $x9, 7);
+
+        $x2+= $x6; $x14 = self::leftRotate($x14 ^ $x2, 16);
+        $x10+= $x14; $x6 = self::leftRotate($x6 ^ $x10, 12);
+        $x2+= $x6; $x14 = self::leftRotate($x14 ^ $x2, 8);
+        $x10+= $x14; $x6 = self::leftRotate($x6 ^ $x10, 7);
+
+        $x3+= $x7; $x15 = self::leftRotate($x15 ^ $x3, 16);
+        $x11+= $x15; $x7 = self::leftRotate($x7 ^ $x11, 12);
+        $x3+= $x7; $x15 = self::leftRotate($x15 ^ $x3, 8);
+        $x11+= $x15; $x7 = self::leftRotate($x7 ^ $x11, 7);
+
+        // rowRound
+        $x0+= $x5; $x15 = self::leftRotate($x15 ^ $x0, 16);
+        $x10+= $x15; $x5 = self::leftRotate($x5 ^ $x10, 12);
+        $x0+= $x5; $x15 = self::leftRotate($x15 ^ $x0, 8);
+        $x10+= $x15; $x5 = self::leftRotate($x5 ^ $x10, 7);
+
+        $x1+= $x6; $x12 = self::leftRotate($x12 ^ $x1, 16);
+        $x11+= $x12; $x6 = self::leftRotate($x6 ^ $x11, 12);
+        $x1+= $x6; $x12 = self::leftRotate($x12 ^ $x1, 8);
+        $x11+= $x12; $x6 = self::leftRotate($x6 ^ $x11, 7);
+
+        $x2+= $x7; $x13 = self::leftRotate($x13 ^ $x2, 16);
+        $x8+= $x13; $x7 = self::leftRotate($x7 ^ $x8, 12);
+        $x2+= $x7; $x13 = self::leftRotate($x13 ^ $x2, 8);
+        $x8+= $x13; $x7 = self::leftRotate($x7 ^ $x8, 7);
+
+        $x3+= $x4; $x14 = self::leftRotate($x14 ^ $x3, 16);
+        $x9+= $x14; $x4 = self::leftRotate($x4 ^ $x9, 12);
+        $x3+= $x4; $x14 = self::leftRotate($x14 ^ $x3, 8);
+        $x9+= $x14; $x4 = self::leftRotate($x4 ^ $x9, 7);
+
+        // columnRound
+        $x0+= $x4; $x12 = self::leftRotate($x12 ^ $x0, 16);
+        $x8+= $x12; $x4 = self::leftRotate($x4 ^ $x8, 12);
+        $x0+= $x4; $x12 = self::leftRotate($x12 ^ $x0, 8);
+        $x8+= $x12; $x4 = self::leftRotate($x4 ^ $x8, 7);
+
+        $x1+= $x5; $x13 = self::leftRotate($x13 ^ $x1, 16);
+        $x9+= $x13; $x5 = self::leftRotate($x5 ^ $x9, 12);
+        $x1+= $x5; $x13 = self::leftRotate($x13 ^ $x1, 8);
+        $x9+= $x13; $x5 = self::leftRotate($x5 ^ $x9, 7);
+
+        $x2+= $x6; $x14 = self::leftRotate($x14 ^ $x2, 16);
+        $x10+= $x14; $x6 = self::leftRotate($x6 ^ $x10, 12);
+        $x2+= $x6; $x14 = self::leftRotate($x14 ^ $x2, 8);
+        $x10+= $x14; $x6 = self::leftRotate($x6 ^ $x10, 7);
+
+        $x3+= $x7; $x15 = self::leftRotate($x15 ^ $x3, 16);
+        $x11+= $x15; $x7 = self::leftRotate($x7 ^ $x11, 12);
+        $x3+= $x7; $x15 = self::leftRotate($x15 ^ $x3, 8);
+        $x11+= $x15; $x7 = self::leftRotate($x7 ^ $x11, 7);
+
+        // rowRound
+        $x0+= $x5; $x15 = self::leftRotate($x15 ^ $x0, 16);
+        $x10+= $x15; $x5 = self::leftRotate($x5 ^ $x10, 12);
+        $x0+= $x5; $x15 = self::leftRotate($x15 ^ $x0, 8);
+        $x10+= $x15; $x5 = self::leftRotate($x5 ^ $x10, 7);
+
+        $x1+= $x6; $x12 = self::leftRotate($x12 ^ $x1, 16);
+        $x11+= $x12; $x6 = self::leftRotate($x6 ^ $x11, 12);
+        $x1+= $x6; $x12 = self::leftRotate($x12 ^ $x1, 8);
+        $x11+= $x12; $x6 = self::leftRotate($x6 ^ $x11, 7);
+
+        $x2+= $x7; $x13 = self::leftRotate($x13 ^ $x2, 16);
+        $x8+= $x13; $x7 = self::leftRotate($x7 ^ $x8, 12);
+        $x2+= $x7; $x13 = self::leftRotate($x13 ^ $x2, 8);
+        $x8+= $x13; $x7 = self::leftRotate($x7 ^ $x8, 7);
+
+        $x3+= $x4; $x14 = self::leftRotate($x14 ^ $x3, 16);
+        $x9+= $x14; $x4 = self::leftRotate($x4 ^ $x9, 12);
+        $x3+= $x4; $x14 = self::leftRotate($x14 ^ $x3, 8);
+        $x9+= $x14; $x4 = self::leftRotate($x4 ^ $x9, 7);
+
+        // columnRound
+        $x0+= $x4; $x12 = self::leftRotate($x12 ^ $x0, 16);
+        $x8+= $x12; $x4 = self::leftRotate($x4 ^ $x8, 12);
+        $x0+= $x4; $x12 = self::leftRotate($x12 ^ $x0, 8);
+        $x8+= $x12; $x4 = self::leftRotate($x4 ^ $x8, 7);
+
+        $x1+= $x5; $x13 = self::leftRotate($x13 ^ $x1, 16);
+        $x9+= $x13; $x5 = self::leftRotate($x5 ^ $x9, 12);
+        $x1+= $x5; $x13 = self::leftRotate($x13 ^ $x1, 8);
+        $x9+= $x13; $x5 = self::leftRotate($x5 ^ $x9, 7);
+
+        $x2+= $x6; $x14 = self::leftRotate($x14 ^ $x2, 16);
+        $x10+= $x14; $x6 = self::leftRotate($x6 ^ $x10, 12);
+        $x2+= $x6; $x14 = self::leftRotate($x14 ^ $x2, 8);
+        $x10+= $x14; $x6 = self::leftRotate($x6 ^ $x10, 7);
+
+        $x3+= $x7; $x15 = self::leftRotate($x15 ^ $x3, 16);
+        $x11+= $x15; $x7 = self::leftRotate($x7 ^ $x11, 12);
+        $x3+= $x7; $x15 = self::leftRotate($x15 ^ $x3, 8);
+        $x11+= $x15; $x7 = self::leftRotate($x7 ^ $x11, 7);
+
+        // rowRound
+        $x0+= $x5; $x15 = self::leftRotate($x15 ^ $x0, 16);
+        $x10+= $x15; $x5 = self::leftRotate($x5 ^ $x10, 12);
+        $x0+= $x5; $x15 = self::leftRotate($x15 ^ $x0, 8);
+        $x10+= $x15; $x5 = self::leftRotate($x5 ^ $x10, 7);
+
+        $x1+= $x6; $x12 = self::leftRotate($x12 ^ $x1, 16);
+        $x11+= $x12; $x6 = self::leftRotate($x6 ^ $x11, 12);
+        $x1+= $x6; $x12 = self::leftRotate($x12 ^ $x1, 8);
+        $x11+= $x12; $x6 = self::leftRotate($x6 ^ $x11, 7);
+
+        $x2+= $x7; $x13 = self::leftRotate($x13 ^ $x2, 16);
+        $x8+= $x13; $x7 = self::leftRotate($x7 ^ $x8, 12);
+        $x2+= $x7; $x13 = self::leftRotate($x13 ^ $x2, 8);
+        $x8+= $x13; $x7 = self::leftRotate($x7 ^ $x8, 7);
+
+        $x3+= $x4; $x14 = self::leftRotate($x14 ^ $x3, 16);
+        $x9+= $x14; $x4 = self::leftRotate($x4 ^ $x9, 12);
+        $x3+= $x4; $x14 = self::leftRotate($x14 ^ $x3, 8);
+        $x9+= $x14; $x4 = self::leftRotate($x4 ^ $x9, 7);
+
+        // columnRound
+        $x0+= $x4; $x12 = self::leftRotate($x12 ^ $x0, 16);
+        $x8+= $x12; $x4 = self::leftRotate($x4 ^ $x8, 12);
+        $x0+= $x4; $x12 = self::leftRotate($x12 ^ $x0, 8);
+        $x8+= $x12; $x4 = self::leftRotate($x4 ^ $x8, 7);
+
+        $x1+= $x5; $x13 = self::leftRotate($x13 ^ $x1, 16);
+        $x9+= $x13; $x5 = self::leftRotate($x5 ^ $x9, 12);
+        $x1+= $x5; $x13 = self::leftRotate($x13 ^ $x1, 8);
+        $x9+= $x13; $x5 = self::leftRotate($x5 ^ $x9, 7);
+
+        $x2+= $x6; $x14 = self::leftRotate($x14 ^ $x2, 16);
+        $x10+= $x14; $x6 = self::leftRotate($x6 ^ $x10, 12);
+        $x2+= $x6; $x14 = self::leftRotate($x14 ^ $x2, 8);
+        $x10+= $x14; $x6 = self::leftRotate($x6 ^ $x10, 7);
+
+        $x3+= $x7; $x15 = self::leftRotate($x15 ^ $x3, 16);
+        $x11+= $x15; $x7 = self::leftRotate($x7 ^ $x11, 12);
+        $x3+= $x7; $x15 = self::leftRotate($x15 ^ $x3, 8);
+        $x11+= $x15; $x7 = self::leftRotate($x7 ^ $x11, 7);
+
+        // rowRound
+        $x0+= $x5; $x15 = self::leftRotate($x15 ^ $x0, 16);
+        $x10+= $x15; $x5 = self::leftRotate($x5 ^ $x10, 12);
+        $x0+= $x5; $x15 = self::leftRotate($x15 ^ $x0, 8);
+        $x10+= $x15; $x5 = self::leftRotate($x5 ^ $x10, 7);
+
+        $x1+= $x6; $x12 = self::leftRotate($x12 ^ $x1, 16);
+        $x11+= $x12; $x6 = self::leftRotate($x6 ^ $x11, 12);
+        $x1+= $x6; $x12 = self::leftRotate($x12 ^ $x1, 8);
+        $x11+= $x12; $x6 = self::leftRotate($x6 ^ $x11, 7);
+
+        $x2+= $x7; $x13 = self::leftRotate($x13 ^ $x2, 16);
+        $x8+= $x13; $x7 = self::leftRotate($x7 ^ $x8, 12);
+        $x2+= $x7; $x13 = self::leftRotate($x13 ^ $x2, 8);
+        $x8+= $x13; $x7 = self::leftRotate($x7 ^ $x8, 7);
+
+        $x3+= $x4; $x14 = self::leftRotate($x14 ^ $x3, 16);
+        $x9+= $x14; $x4 = self::leftRotate($x4 ^ $x9, 12);
+        $x3+= $x4; $x14 = self::leftRotate($x14 ^ $x3, 8);
+        $x9+= $x14; $x4 = self::leftRotate($x4 ^ $x9, 7);
+
+        // columnRound
+        $x0+= $x4; $x12 = self::leftRotate($x12 ^ $x0, 16);
+        $x8+= $x12; $x4 = self::leftRotate($x4 ^ $x8, 12);
+        $x0+= $x4; $x12 = self::leftRotate($x12 ^ $x0, 8);
+        $x8+= $x12; $x4 = self::leftRotate($x4 ^ $x8, 7);
+
+        $x1+= $x5; $x13 = self::leftRotate($x13 ^ $x1, 16);
+        $x9+= $x13; $x5 = self::leftRotate($x5 ^ $x9, 12);
+        $x1+= $x5; $x13 = self::leftRotate($x13 ^ $x1, 8);
+        $x9+= $x13; $x5 = self::leftRotate($x5 ^ $x9, 7);
+
+        $x2+= $x6; $x14 = self::leftRotate($x14 ^ $x2, 16);
+        $x10+= $x14; $x6 = self::leftRotate($x6 ^ $x10, 12);
+        $x2+= $x6; $x14 = self::leftRotate($x14 ^ $x2, 8);
+        $x10+= $x14; $x6 = self::leftRotate($x6 ^ $x10, 7);
+
+        $x3+= $x7; $x15 = self::leftRotate($x15 ^ $x3, 16);
+        $x11+= $x15; $x7 = self::leftRotate($x7 ^ $x11, 12);
+        $x3+= $x7; $x15 = self::leftRotate($x15 ^ $x3, 8);
+        $x11+= $x15; $x7 = self::leftRotate($x7 ^ $x11, 7);
+
+        // rowRound
+        $x0+= $x5; $x15 = self::leftRotate($x15 ^ $x0, 16);
+        $x10+= $x15; $x5 = self::leftRotate($x5 ^ $x10, 12);
+        $x0+= $x5; $x15 = self::leftRotate($x15 ^ $x0, 8);
+        $x10+= $x15; $x5 = self::leftRotate($x5 ^ $x10, 7);
+
+        $x1+= $x6; $x12 = self::leftRotate($x12 ^ $x1, 16);
+        $x11+= $x12; $x6 = self::leftRotate($x6 ^ $x11, 12);
+        $x1+= $x6; $x12 = self::leftRotate($x12 ^ $x1, 8);
+        $x11+= $x12; $x6 = self::leftRotate($x6 ^ $x11, 7);
+
+        $x2+= $x7; $x13 = self::leftRotate($x13 ^ $x2, 16);
+        $x8+= $x13; $x7 = self::leftRotate($x7 ^ $x8, 12);
+        $x2+= $x7; $x13 = self::leftRotate($x13 ^ $x2, 8);
+        $x8+= $x13; $x7 = self::leftRotate($x7 ^ $x8, 7);
+
+        $x3+= $x4; $x14 = self::leftRotate($x14 ^ $x3, 16);
+        $x9+= $x14; $x4 = self::leftRotate($x4 ^ $x9, 12);
+        $x3+= $x4; $x14 = self::leftRotate($x14 ^ $x3, 8);
+        $x9+= $x14; $x4 = self::leftRotate($x4 ^ $x9, 7);
+
+        // columnRound
+        $x0+= $x4; $x12 = self::leftRotate($x12 ^ $x0, 16);
+        $x8+= $x12; $x4 = self::leftRotate($x4 ^ $x8, 12);
+        $x0+= $x4; $x12 = self::leftRotate($x12 ^ $x0, 8);
+        $x8+= $x12; $x4 = self::leftRotate($x4 ^ $x8, 7);
+
+        $x1+= $x5; $x13 = self::leftRotate($x13 ^ $x1, 16);
+        $x9+= $x13; $x5 = self::leftRotate($x5 ^ $x9, 12);
+        $x1+= $x5; $x13 = self::leftRotate($x13 ^ $x1, 8);
+        $x9+= $x13; $x5 = self::leftRotate($x5 ^ $x9, 7);
+
+        $x2+= $x6; $x14 = self::leftRotate($x14 ^ $x2, 16);
+        $x10+= $x14; $x6 = self::leftRotate($x6 ^ $x10, 12);
+        $x2+= $x6; $x14 = self::leftRotate($x14 ^ $x2, 8);
+        $x10+= $x14; $x6 = self::leftRotate($x6 ^ $x10, 7);
+
+        $x3+= $x7; $x15 = self::leftRotate($x15 ^ $x3, 16);
+        $x11+= $x15; $x7 = self::leftRotate($x7 ^ $x11, 12);
+        $x3+= $x7; $x15 = self::leftRotate($x15 ^ $x3, 8);
+        $x11+= $x15; $x7 = self::leftRotate($x7 ^ $x11, 7);
+
+        // rowRound
+        $x0+= $x5; $x15 = self::leftRotate($x15 ^ $x0, 16);
+        $x10+= $x15; $x5 = self::leftRotate($x5 ^ $x10, 12);
+        $x0+= $x5; $x15 = self::leftRotate($x15 ^ $x0, 8);
+        $x10+= $x15; $x5 = self::leftRotate($x5 ^ $x10, 7);
+
+        $x1+= $x6; $x12 = self::leftRotate($x12 ^ $x1, 16);
+        $x11+= $x12; $x6 = self::leftRotate($x6 ^ $x11, 12);
+        $x1+= $x6; $x12 = self::leftRotate($x12 ^ $x1, 8);
+        $x11+= $x12; $x6 = self::leftRotate($x6 ^ $x11, 7);
+
+        $x2+= $x7; $x13 = self::leftRotate($x13 ^ $x2, 16);
+        $x8+= $x13; $x7 = self::leftRotate($x7 ^ $x8, 12);
+        $x2+= $x7; $x13 = self::leftRotate($x13 ^ $x2, 8);
+        $x8+= $x13; $x7 = self::leftRotate($x7 ^ $x8, 7);
+
+        $x3+= $x4; $x14 = self::leftRotate($x14 ^ $x3, 16);
+        $x9+= $x14; $x4 = self::leftRotate($x4 ^ $x9, 12);
+        $x3+= $x4; $x14 = self::leftRotate($x14 ^ $x3, 8);
+        $x9+= $x14; $x4 = self::leftRotate($x4 ^ $x9, 7);
+
+        $x0+= $z0;
+        $x1+= $z1;
+        $x2+= $z2;
+        $x3+= $z3;
+        $x4+= $z4;
+        $x5+= $z5;
+        $x6+= $z6;
+        $x7+= $z7;
+        $x8+= $z8;
+        $x9+= $z9;
+        $x10+= $z10;
+        $x11+= $z11;
+        $x12+= $z12;
+        $x13+= $z13;
+        $x14+= $z14;
+        $x15+= $z15;
+
+        return pack('V*', $x0, $x1, $x2, $x3, $x4, $x5, $x6, $x7, $x8, $x9, $x10, $x11, $x12, $x13, $x14, $x15);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/AsymmetricKey.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/AsymmetricKey.php
new file mode 100644
index 000000000..9c368ebb8
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/AsymmetricKey.php
@@ -0,0 +1,492 @@
+<?php
+
+/**
+ * Base Class for all asymmetric key ciphers
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   AsymmetricKey
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\Common;
+
+use phpseclib3\Exception\UnsupportedFormatException;
+use phpseclib3\Exception\NoKeyLoadedException;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Crypt\Hash;
+use phpseclib3\Crypt\RSA;
+use phpseclib3\Crypt\DSA;
+use phpseclib3\Crypt\ECDSA;
+
+/**
+ * Base Class for all asymmetric cipher classes
+ *
+ * @package AsymmetricKey
+ * @author  Jim Wigginton <terrafrost@php.net>
+ */
+abstract class AsymmetricKey
+{
+    /**
+     * Precomputed Zero
+     *
+     * @var \phpseclib3\Math\BigInteger
+     * @access private
+     */
+    protected static $zero;
+
+    /**
+     * Precomputed One
+     *
+     * @var \phpseclib3\Math\BigInteger
+     * @access private
+     */
+    protected static $one;
+
+    /**
+     * Format of the loaded key
+     *
+     * @var string
+     * @access private
+     */
+    protected $format;
+
+    /**
+     * Hash function
+     *
+     * @var \phpseclib3\Crypt\Hash
+     * @access private
+     */
+    protected $hash;
+
+    /**
+     * HMAC function
+     *
+     * @var \phpseclib3\Crypt\Hash
+     * @access private
+     */
+    private $hmac;
+
+    /**
+     * Supported plugins (lower case)
+     *
+     * @see self::initialize_static_variables()
+     * @var array
+     * @access private
+     */
+    private static $plugins = [];
+
+    /**
+     * Invisible plugins
+     *
+     * @see self::initialize_static_variables()
+     * @var array
+     * @access private
+     */
+    private static $invisiblePlugins = [];
+
+    /**
+     * Supported signature formats (lower case)
+     *
+     * @see self::initialize_static_variables()
+     * @var array
+     * @access private
+     */
+    private static $signatureFormats = [];
+
+    /**
+     * Supported signature formats (original case)
+     *
+     * @see self::initialize_static_variables()
+     * @var array
+     * @access private
+     */
+    private static $signatureFileFormats = [];
+
+    /**
+     * Available Engines
+     *
+     * @var boolean[]
+     * @access private
+     */
+    protected static $engines = [];
+
+    /**
+     * The constructor
+     */
+    protected function __construct()
+    {
+        self::initialize_static_variables();
+
+        $this->hash = new Hash('sha256');
+        $this->hmac = new Hash('sha256');
+    }
+
+    /**
+     * Initialize static variables
+     */
+    protected static function initialize_static_variables()
+    {
+        if (!isset(self::$zero)) {
+            self::$zero= new BigInteger(0);
+            self::$one = new BigInteger(1);
+        }
+
+        self::loadPlugins('Keys');
+        if (static::ALGORITHM != 'RSA' && static::ALGORITHM != 'DH') {
+            self::loadPlugins('Signature');
+        }
+    }
+
+    /**
+     * Load the key
+     *
+     * @param string $key
+     * @param string $password optional
+     * @return AsymmetricKey
+     */
+    public static function load($key, $password = false)
+    {
+        self::initialize_static_variables();
+
+        $components = false;
+        foreach (self::$plugins[static::ALGORITHM]['Keys'] as $format) {
+            if (isset(self::$invisiblePlugins[static::ALGORITHM]) && in_array($format, self::$invisiblePlugins[static::ALGORITHM])) {
+                continue;
+            }
+            try {
+                $components = $format::load($key, $password);
+            } catch (\Exception $e) {
+                $components = false;
+            }
+            if ($components !== false) {
+                break;
+            }
+        }
+
+        if ($components === false) {
+            throw new NoKeyLoadedException('Unable to read key');
+        }
+
+        $components['format'] = $format;
+        $new = static::onLoad($components);
+        $new->format = $format;
+        return $new instanceof PrivateKey ?
+            $new->withPassword($password) :
+            $new;
+    }
+
+    /**
+     * Load the key, assuming a specific format
+     *
+     * @param string $type
+     * @param string $key
+     * @param string $password optional
+     * @return AsymmetricKey
+     */
+    public static function loadFormat($type, $key, $password = false)
+    {
+        self::initialize_static_variables();
+
+        $components = false;
+        $format = strtolower($type);
+        if (isset(self::$plugins[static::ALGORITHM]['Keys'][$format])) {
+            $format = self::$plugins[static::ALGORITHM]['Keys'][$format];
+            $components = $format::load($key, $password);
+        }
+
+        if ($components === false) {
+            throw new NoKeyLoadedException('Unable to read key');
+        }
+
+        $components['format'] = $format;
+
+        $new = static::onLoad($components);
+        $new->format = $format;
+        return $new instanceof PrivateKey ?
+            $new->withPassword($password) :
+            $new;
+    }
+
+    /**
+     * Validate Plugin
+     *
+     * @access private
+     * @param string $format
+     * @param string $type
+     * @param string $method optional
+     * @return mixed
+     */
+    protected static function validatePlugin($format, $type, $method = NULL)
+    {
+        $type = strtolower($type);
+        if (!isset(self::$plugins[static::ALGORITHM][$format][$type])) {
+            throw new UnsupportedFormatException("$type is not a supported format");
+        }
+        $type = self::$plugins[static::ALGORITHM][$format][$type];
+        if (isset($method) && !method_exists($type, $method)) {
+            throw new UnsupportedFormatException("$type does not implement $method");
+        }
+
+        return $type;
+    }
+
+    /**
+     * Load Plugins
+     *
+     * @access private
+     * @param string $format
+     */
+    private static function loadPlugins($format)
+    {
+        if (!isset(self::$plugins[static::ALGORITHM][$format])) {
+            self::$plugins[static::ALGORITHM][$format] = [];
+            foreach (new \DirectoryIterator(__DIR__ . '/../' . static::ALGORITHM . '/Formats/' . $format . '/') as $file) {
+                if ($file->getExtension() != 'php') {
+                    continue;
+                }
+                $name = $file->getBasename('.php');
+                $type = 'phpseclib3\Crypt\\' . static::ALGORITHM . '\\Formats\\' . $format . '\\' . $name;
+                $reflect = new \ReflectionClass($type);
+                if ($reflect->isTrait()) {
+                    continue;
+                }
+                self::$plugins[static::ALGORITHM][$format][strtolower($name)] = $type;
+                if ($reflect->hasConstant('IS_INVISIBLE')) {
+                    self::$invisiblePlugins[static::ALGORITHM][] = $type;
+                }
+            }
+        }
+    }
+
+    /**
+     * Returns a list of supported formats.
+     *
+     * @access public
+     * @return array
+     */
+    public static function getSupportedKeyFormats()
+    {
+        self::initialize_static_variables();
+
+        return self::$plugins[static::ALGORITHM]['Keys'];
+    }
+
+    /**
+     * Add a fileformat plugin
+     *
+     * The plugin needs to either already be loaded or be auto-loadable.
+     * Loading a plugin whose shortname overwrite an existing shortname will overwrite the old plugin.
+     *
+     * @see self::load()
+     * @param string $fullname
+     * @access public
+     * @return bool
+     */
+    public static function addFileFormat($fullname)
+    {
+        self::initialize_static_variables();
+
+        if (class_exists($fullname)) {
+            $meta = new \ReflectionClass($fullname);
+            $shortname = $meta->getShortName();
+            self::$plugins[static::ALGORITHM]['Keys'][strtolower($shortname)] = $fullname;
+            if ($meta->hasConstant('IS_INVISIBLE')) {
+                self::$invisiblePlugins[static::ALGORITHM] = strtolower($name);
+            }
+        }
+    }
+
+    /**
+     * Returns the format of the loaded key.
+     *
+     * If the key that was loaded wasn't in a valid or if the key was auto-generated
+     * with RSA::createKey() then this will throw an exception.
+     *
+     * @see self::load()
+     * @access public
+     * @return mixed
+     */
+    public function getLoadedFormat()
+    {
+        if (empty($this->format)) {
+            throw new NoKeyLoadedException('This key was created with createKey - it was not loaded with load. Therefore there is no "loaded format"');
+        }
+
+        $meta = new \ReflectionClass($this->format);
+        return $meta->getShortName();
+    }
+
+    /**
+     * Tests engine validity
+     *
+     * @access public
+     */
+    public static function useBestEngine()
+    {
+        static::$engines = [
+            'PHP' => true,
+            'OpenSSL' => extension_loaded('openssl'),
+            // this test can be satisfied by either of the following:
+            // http://php.net/manual/en/book.sodium.php
+            // https://github.com/paragonie/sodium_compat
+            'libsodium' => function_exists('sodium_crypto_sign_keypair')
+        ];
+
+        return static::$engines;
+    }
+
+    /**
+     * Flag to use internal engine only (useful for unit testing)
+     *
+     * @access public
+     */
+    public static function useInternalEngine()
+    {
+        static::$engines = [
+            'PHP' => true,
+            'OpenSSL' => false,
+            'libsodium' => false
+        ];
+    }
+
+    /**
+     * __toString() magic method
+     *
+     * @return string
+     */
+    public function __toString()
+    {
+        return $this->toString('PKCS8');
+    }
+
+    /**
+     * Determines which hashing function should be used
+     *
+     * @access public
+     * @param string $hash
+     */
+    public function withHash($hash)
+    {
+        $new = clone $this;
+
+        $new->hash = new Hash($hash);
+        $new->hmac = new Hash($hash);
+
+        return $new;
+    }
+
+    /**
+     * Returns the hash algorithm currently being used
+     *
+     * @access public
+     */
+    public function getHash()
+    {
+       return clone $this->hash;
+    }
+
+    /**
+     * Compute the pseudorandom k for signature generation,
+     * using the process specified for deterministic DSA.
+     *
+     * @access public
+     * @param string $h1
+     * @return string
+     */
+    protected function computek($h1)
+    {
+        $v = str_repeat("\1", strlen($h1));
+
+        $k = str_repeat("\0", strlen($h1));
+
+        $x = $this->int2octets($this->x);
+        $h1 = $this->bits2octets($h1);
+
+        $this->hmac->setKey($k);
+        $k = $this->hmac->hash($v . "\0" . $x . $h1);
+        $this->hmac->setKey($k);
+        $v = $this->hmac->hash($v);
+        $k = $this->hmac->hash($v . "\1" . $x . $h1);
+        $this->hmac->setKey($k);
+        $v = $this->hmac->hash($v);
+
+        $qlen = $this->q->getLengthInBytes();
+
+        while (true) {
+            $t = '';
+            while (strlen($t) < $qlen) {
+                $v = $this->hmac->hash($v);
+                $t = $t . $v;
+            }
+            $k = $this->bits2int($t);
+
+            if (!$k->equals(self::$zero) && $k->compare($this->q) < 0) {
+                break;
+            }
+            $k = $this->hmac->hash($v . "\0");
+            $this->hmac->setKey($k);
+            $v = $this->hmac->hash($v);
+        }
+
+        return $k;
+    }
+
+    /**
+     * Integer to Octet String
+     *
+     * @access private
+     * @param \phpseclib3\Math\BigInteger $v
+     * @return string
+     */
+    private function int2octets($v)
+    {
+        $out = $v->toBytes();
+        $rolen = $this->q->getLengthInBytes();
+        if (strlen($out) < $rolen) {
+            return str_pad($out, $rolen, "\0", STR_PAD_LEFT);
+        } else if (strlen($out) > $rolen) {
+            return substr($out, -$rolen);
+        } else {
+            return $out;
+        }
+    }
+
+    /**
+     * Bit String to Integer
+     *
+     * @access private
+     * @param string $in
+     * @return \phpseclib3\Math\BigInteger
+     */
+    protected function bits2int($in)
+    {
+        $v = new BigInteger($in, 256);
+        $vlen = strlen($in) << 3;
+        $qlen = $this->q->getLength();
+        if ($vlen > $qlen) {
+            return $v->bitwise_rightShift($vlen - $qlen);
+        }
+        return $v;
+    }
+
+    /**
+     * Bit String to Octet String
+     *
+     * @access private
+     * @param string $in
+     * @return string
+     */
+    private function bits2octets($in)
+    {
+        $z1 = $this->bits2int($in);
+        $z2 = $z1->subtract($this->q);
+        return $z2->compare(self::$zero) < 0 ?
+            $this->int2octets($z1) :
+            $this->int2octets($z2);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/BlockCipher.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/BlockCipher.php
new file mode 100644
index 000000000..a8ed74d86
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/BlockCipher.php
@@ -0,0 +1,27 @@
+<?php
+
+/**
+ * Base Class for all block ciphers
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   BlockCipher
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @author    Hans-Juergen Petrich <petrich@tronic-media.com>
+ * @copyright 2007 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\Common;
+
+/**
+ * Base Class for all block cipher classes
+ *
+ * @package BlockCipher
+ * @author  Jim Wigginton <terrafrost@php.net>
+ */
+abstract class BlockCipher extends SymmetricKey
+{
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Formats/Keys/OpenSSH.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Formats/Keys/OpenSSH.php
new file mode 100644
index 000000000..7c51dd391
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Formats/Keys/OpenSSH.php
@@ -0,0 +1,234 @@
+<?php
+
+/**
+ * OpenSSH Key Handler
+ *
+ * PHP version 5
+ *
+ * Place in $HOME/.ssh/authorized_keys
+ *
+ * @category  Crypt
+ * @package   Common
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\Common\Formats\Keys;
+
+use ParagonIE\ConstantTime\Base64;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Crypt\Random;
+use phpseclib3\Exception\UnsupportedFormatException;
+
+/**
+ * OpenSSH Formatted RSA Key Handler
+ *
+ * @package Common
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class OpenSSH
+{
+    /**
+     * Default comment
+     *
+     * @var string
+     * @access private
+     */
+    protected static $comment = 'phpseclib-generated-key';
+
+    /**
+     * Binary key flag
+     *
+     * @var bool
+     * @access private
+     */
+    protected static $binary = false;
+
+    /**
+     * Sets the default comment
+     *
+     * @access public
+     * @param string $comment
+     */
+    public static function setComment($comment)
+    {
+        self::$comment = str_replace(["\r", "\n"], '', $comment);
+    }
+
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * $type can be either ssh-dss or ssh-rsa
+     *
+     * @access public
+     * @param string $key
+     * @param string $password
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        if (!Strings::is_stringable($key)) {
+            throw new \UnexpectedValueException('Key should be a string - not a ' . gettype($key));
+        }
+
+        // key format is described here:
+        // https://cvsweb.openbsd.org/cgi-bin/cvsweb/src/usr.bin/ssh/PROTOCOL.key?annotate=HEAD
+
+        if (strpos($key, 'BEGIN OPENSSH PRIVATE KEY') !== false) {
+            $key = preg_replace('#(?:^-.*?-[\r\n]*$)|\s#ms', '', $key);
+            $key = Base64::decode($key);
+            $magic = Strings::shift($key, 15);
+            if ($magic != "openssh-key-v1\0") {
+                throw new \RuntimeException('Expected openssh-key-v1');
+            }
+            list($ciphername, $kdfname, $kdfoptions, $numKeys) = Strings::unpackSSH2('sssN', $key);
+            if ($numKeys != 1) {
+                // if we wanted to support multiple keys we could update PublicKeyLoader to preview what the # of keys
+                // would be; it'd then call Common\Keys\OpenSSH.php::load() and get the paddedKey. it'd then pass
+                // that to the appropriate key loading parser $numKey times or something
+                throw new \RuntimeException('Although the OpenSSH private key format supports multiple keys phpseclib does not');
+            }
+            if (strlen($kdfoptions) || $kdfname != 'none' || $ciphername != 'none') {
+                /*
+                  OpenSSH private keys use a customized version of bcrypt. specifically, instead of encrypting
+                  OrpheanBeholderScryDoubt 64 times OpenSSH's bcrypt variant encrypts
+                  OxychromaticBlowfishSwatDynamite 64 times. so we can't use crypt().
+
+                  bcrypt is basically Blowfish with an altered key expansion. whereas Blowfish just runs the
+                  key through the key expansion bcrypt interleaves the key expansion with the salt and
+                  password. this renders openssl / mcrypt unusuable. this forces us to use a pure-PHP implementation
+                  of bcrypt. the problem with that is that pure-PHP is too slow to be practically useful.
+
+                  in addition to encrypting a different string 64 times the OpenSSH implementation also performs bcrypt
+                  from scratch $rounds times. calling crypt() 64x with bcrypt takes 0.7s. PHP is going to be naturally
+                  slower. pure-PHP is 215x slower than OpenSSL for AES and pure-PHP is 43x slower for bcrypt.
+                  43 * 0.7 = 30s. no one wants to wait 30s to load a private key.
+
+                  another way to think about this..  according to wikipedia's article on Blowfish,
+                  "Each new key requires pre-processing equivalent to encrypting about 4 kilobytes of text".
+                  key expansion is done (9+64*2)*160 times. multiply that by 4 and it turns out that Blowfish,
+                  OpenSSH style, is the equivalent of encrypting ~80mb of text.
+
+                  more supporting evidence: sodium_compat does not implement Argon2 (another password hashing
+                  algorithm) because "It's not feasible to polyfill scrypt or Argon2 into PHP and get reasonable
+                  performance. Users would feel motivated to select parameters that downgrade security to avoid
+                  denial of service (DoS) attacks. The only winning move is not to play"
+                    -- https://github.com/paragonie/sodium_compat/blob/master/README.md
+                */
+                throw new \RuntimeException('Encrypted OpenSSH private keys are not supported');
+                //list($salt, $rounds) = Strings::unpackSSH2('sN', $kdfoptions);
+            }
+
+            list($publicKey, $paddedKey) = Strings::unpackSSH2('ss', $key);
+            list($type) = Strings::unpackSSH2('s', $publicKey);
+            list($checkint1, $checkint2) = Strings::unpackSSH2('NN', $paddedKey);
+            // any leftover bytes in $paddedKey are for padding? but they should be sequential bytes. eg. 1, 2, 3, etc.
+            if ($checkint1 != $checkint2) {
+                throw new \RuntimeException('The two checkints do not match');
+            }
+            self::checkType($type);
+
+            return compact('type', 'publicKey', 'paddedKey');
+        }
+
+        $parts = explode(' ', $key, 3);
+
+        if (!isset($parts[1])) {
+            $key = base64_decode($parts[0]);
+            $comment = isset($parts[1]) ? $parts[1] : false;
+        } else {
+            $asciiType = $parts[0];
+            self::checkType($parts[0]);
+            $key = base64_decode($parts[1]);
+            $comment = isset($parts[2]) ? $parts[2] : false;
+        }
+        if ($key === false) {
+            throw new \UnexpectedValueException('Key should be a string - not a ' . gettype($key));
+        }
+
+        list($type) = Strings::unpackSSH2('s', $key);
+        self::checkType($type);
+        if (isset($asciiType) && $asciiType != $type) {
+            throw new \RuntimeException('Two different types of keys are claimed: ' . $asciiType . ' and ' . $type);
+        }
+        if (strlen($key) <= 4) {
+            throw new \UnexpectedValueException('Key appears to be malformed');
+        }
+
+        $publicKey = $key;
+
+        return compact('type', 'publicKey', 'comment');
+    }
+
+    /**
+     * Toggle between binary and printable keys
+     *
+     * Printable keys are what are generated by default. These are the ones that go in
+     * $HOME/.ssh/authorized_key.
+     *
+     * @access public
+     * @param bool $enabled
+     */
+    public static function setBinaryOutput($enabled)
+    {
+        self::$binary = $enabled;
+    }
+
+    /**
+     * Checks to see if the type is valid
+     *
+     * @access private
+     * @param string $candidate
+     */
+    private static function checkType($candidate)
+    {
+        if (!in_array($candidate, static::$types)) {
+            throw new \RuntimeException("The key type ($candidate) is not equal to: " . implode(',', static::$types));
+        }
+    }
+
+    /**
+     * Wrap a private key appropriately
+     *
+     * @access public
+     * @param string $publicKey
+     * @param string $privateKey
+     * @param string $password
+     * @param array $options
+     * @return string
+     */
+    protected static function wrapPrivateKey($publicKey, $privateKey, $password, $options)
+    {
+        if (!empty($password) && is_string($password)) {
+            throw new UnsupportedFormatException('Encrypted OpenSSH private keys are not supported');
+        }
+
+        list(, $checkint) = unpack('N', Random::string(4));
+
+        $comment = isset($options['comment']) ? $options['comment'] : self::$comment;
+        $paddedKey = Strings::packSSH2('NN', $checkint, $checkint) .
+                     $privateKey .
+                     Strings::packSSH2('s', $comment);
+
+        /*
+           from http://tools.ietf.org/html/rfc4253#section-6 :
+
+           Note that the length of the concatenation of 'packet_length',
+           'padding_length', 'payload', and 'random padding' MUST be a multiple
+           of the cipher block size or 8, whichever is larger.
+         */
+        $paddingLength = (7 * strlen($paddedKey)) % 8;
+        for ($i = 1; $i <= $paddingLength; $i++) {
+            $paddedKey.= chr($i);
+        }
+        $key = Strings::packSSH2('sssNss', 'none', 'none', '', 1, $publicKey, $paddedKey);
+        $key = "openssh-key-v1\0$key";
+
+        return "-----BEGIN OPENSSH PRIVATE KEY-----\r\n" .
+               chunk_split(Base64::encode($key), 70) .
+               "-----END OPENSSH PRIVATE KEY-----";
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Formats/Keys/PKCS.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Formats/Keys/PKCS.php
new file mode 100644
index 000000000..3550cc531
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Formats/Keys/PKCS.php
@@ -0,0 +1,80 @@
+<?php
+
+/**
+ * PKCS Formatted Key Handler
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   Common
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\Common\Formats\Keys;
+
+/**
+ * PKCS1 Formatted Key Handler
+ *
+ * @package RSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PKCS
+{
+    /**
+     * Auto-detect the format
+     */
+    const MODE_ANY = 0;
+    /**
+     * Require base64-encoded PEM's be supplied
+     */
+    const MODE_PEM = 1;
+    /**
+     * Require raw DER's be supplied
+     */
+    const MODE_DER = 2;
+    /**#@-*/
+
+    /**
+     * Is the key a base-64 encoded PEM, DER or should it be auto-detected?
+     *
+     * @access private
+     * @var int
+     */
+    protected static $format = self::MODE_ANY;
+
+    /**
+     * Require base64-encoded PEM's be supplied
+     *
+     * @access public
+     */
+    public static function requirePEM()
+    {
+        self::$format = self::MODE_PEM;
+    }
+
+    /**
+     * Require raw DER's be supplied
+     *
+     * @access public
+     */
+    public static function requireDER()
+    {
+        self::$format = self::MODE_DER;
+    }
+
+    /**
+     * Accept any format and auto detect the format
+     *
+     * This is the default setting
+     *
+     * @access public
+     */
+    public static function requireAny()
+    {
+        self::$format = self::MODE_ANY;
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Formats/Keys/PKCS1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Formats/Keys/PKCS1.php
new file mode 100644
index 000000000..a362d938b
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Formats/Keys/PKCS1.php
@@ -0,0 +1,223 @@
+<?php
+
+/**
+ * PKCS1 Formatted Key Handler
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   Common
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\Common\Formats\Keys;
+
+use ParagonIE\ConstantTime\Base64;
+use ParagonIE\ConstantTime\Hex;
+use phpseclib3\Crypt\Random;
+use phpseclib3\Crypt\AES;
+use phpseclib3\Crypt\DES;
+use phpseclib3\Crypt\TripleDES;
+use phpseclib3\File\ASN1;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Exception\UnsupportedAlgorithmException;
+
+/**
+ * PKCS1 Formatted Key Handler
+ *
+ * @package RSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PKCS1 extends PKCS
+{
+    /**
+     * Default encryption algorithm
+     *
+     * @var string
+     * @access private
+     */
+    private static $defaultEncryptionAlgorithm = 'AES-128-CBC';
+
+    /**
+     * Sets the default encryption algorithm
+     *
+     * @access public
+     * @param string $algo
+     */
+    public static function setEncryptionAlgorithm($algo)
+    {
+        self::$defaultEncryptionAlgorithm = $algo;
+    }
+
+    /**
+     * Returns the mode constant corresponding to the mode string
+     *
+     * @access public
+     * @param string $mode
+     * @return int
+     * @throws \UnexpectedValueException if the block cipher mode is unsupported
+     */
+    private static function getEncryptionMode($mode)
+    {
+        switch ($mode) {
+            case 'CBC':
+            case 'ECB':
+            case 'CFB':
+            case 'OFB':
+            case 'CTR':
+                return $mode;
+        }
+        throw new \UnexpectedValueException('Unsupported block cipher mode of operation');
+    }
+
+    /**
+     * Returns a cipher object corresponding to a string
+     *
+     * @access public
+     * @param string $algo
+     * @return string
+     * @throws \UnexpectedValueException if the encryption algorithm is unsupported
+     */
+    private static function getEncryptionObject($algo)
+    {
+        $modes = '(CBC|ECB|CFB|OFB|CTR)';
+        switch (true) {
+            case preg_match("#^AES-(128|192|256)-$modes$#", $algo, $matches):
+                $cipher = new AES(self::getEncryptionMode($matches[2]));
+                $cipher->setKeyLength($matches[1]);
+                return $cipher;
+            case preg_match("#^DES-EDE3-$modes$#", $algo, $matches):
+                return new TripleDES(self::getEncryptionMode($matches[1]));
+            case preg_match("#^DES-$modes$#", $algo, $matches):
+                return new DES(self::getEncryptionMode($matches[1]));
+            default:
+                throw new UnsupportedAlgorithmException($algo . ' is not a supported algorithm');
+        }
+    }
+
+    /**
+     * Generate a symmetric key for PKCS#1 keys
+     *
+     * @access private
+     * @param string $password
+     * @param string $iv
+     * @param int $length
+     * @return string
+     */
+    private static function generateSymmetricKey($password, $iv, $length)
+    {
+        $symkey = '';
+        $iv = substr($iv, 0, 8);
+        while (strlen($symkey) < $length) {
+            $symkey.= md5($symkey . $password . $iv, true);
+        }
+        return substr($symkey, 0, $length);
+    }
+
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    protected static function load($key, $password)
+    {
+        if (!Strings::is_stringable($key)) {
+            throw new \UnexpectedValueException('Key should be a string - not a ' . gettype($key));
+        }
+
+        /* Although PKCS#1 proposes a format that public and private keys can use, encrypting them is
+           "outside the scope" of PKCS#1.  PKCS#1 then refers you to PKCS#12 and PKCS#15 if you're wanting to
+           protect private keys, however, that's not what OpenSSL* does.  OpenSSL protects private keys by adding
+           two new "fields" to the key - DEK-Info and Proc-Type.  These fields are discussed here:
+
+           http://tools.ietf.org/html/rfc1421#section-4.6.1.1
+           http://tools.ietf.org/html/rfc1421#section-4.6.1.3
+
+           DES-EDE3-CBC as an algorithm, however, is not discussed anywhere, near as I can tell.
+           DES-CBC and DES-EDE are discussed in RFC1423, however, DES-EDE3-CBC isn't, nor is its key derivation
+           function.  As is, the definitive authority on this encoding scheme isn't the IETF but rather OpenSSL's
+           own implementation.  ie. the implementation *is* the standard and any bugs that may exist in that
+           implementation are part of the standard, as well.
+
+           * OpenSSL is the de facto standard.  It's utilized by OpenSSH and other projects */
+        if (preg_match('#DEK-Info: (.+),(.+)#', $key, $matches)) {
+            $iv = Hex::decode(trim($matches[2]));
+            // remove the Proc-Type / DEK-Info sections as they're no longer needed
+            $key = preg_replace('#^(?:Proc-Type|DEK-Info): .*#m', '', $key);
+            $ciphertext = ASN1::extractBER($key);
+            if ($ciphertext === false) {
+                $ciphertext = $key;
+            }
+            $crypto = self::getEncryptionObject($matches[1]);
+            $crypto->setKey(self::generateSymmetricKey($password, $iv, $crypto->getKeyLength() >> 3));
+            $crypto->setIV($iv);
+            $key = $crypto->decrypt($ciphertext);
+        } else {
+            if (self::$format != self::MODE_DER) {
+                $decoded = ASN1::extractBER($key);
+                if ($decoded !== false) {
+                    $key = $decoded;
+                } elseif (self::$format == self::MODE_PEM) {
+                    throw new \UnexpectedValueException('Expected base64-encoded PEM format but was unable to decode base64 text');
+                }
+            }
+        }
+
+        return $key;
+    }
+
+    /**
+     * Wrap a private key appropriately
+     *
+     * @access public
+     * @param string $key
+     * @param string $type
+     * @param string $password
+     * @param array $options optional
+     * @return string
+     */
+    protected static function wrapPrivateKey($key, $type, $password, array $options = [])
+    {
+        if (empty($password) || !is_string($password)) {
+            return "-----BEGIN $type PRIVATE KEY-----\r\n" .
+                   chunk_split(Base64::encode($key), 64) .
+                   "-----END $type PRIVATE KEY-----";
+        }
+
+        $encryptionAlgorithm = isset($options['encryptionAlgorithm']) ? $options['encryptionAlgorithm'] : self::$defaultEncryptionAlgorithm;
+
+        $cipher = self::getEncryptionObject($encryptionAlgorithm);
+        $iv = Random::string($cipher->getBlockLength() >> 3);
+        $cipher->setKey(self::generateSymmetricKey($password, $iv, $cipher->getKeyLength() >> 3));
+        $cipher->setIV($iv);
+        $iv = strtoupper(Hex::encode($iv));
+        return "-----BEGIN $type PRIVATE KEY-----\r\n" .
+               "Proc-Type: 4,ENCRYPTED\r\n" .
+               "DEK-Info: " . $encryptionAlgorithm. ",$iv\r\n" .
+               "\r\n" .
+               chunk_split(Base64::encode($cipher->encrypt($key)), 64) .
+               "-----END $type PRIVATE KEY-----";
+    }
+
+    /**
+     * Wrap a public key appropriately
+     *
+     * @access public
+     * @param string $key
+     * @param string $type
+     * @return string
+     */
+    protected static function wrapPublicKey($key, $type)
+    {
+        return "-----BEGIN $type PUBLIC KEY-----\r\n" .
+               chunk_split(Base64::encode($key), 64) .
+               "-----END $type PUBLIC KEY-----";
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Formats/Keys/PKCS8.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Formats/Keys/PKCS8.php
new file mode 100644
index 000000000..cb6d83ced
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Formats/Keys/PKCS8.php
@@ -0,0 +1,702 @@
+<?php
+
+/**
+ * PKCS#8 Formatted Key Handler
+ *
+ * PHP version 5
+ *
+ * Used by PHP's openssl_public_encrypt() and openssl's rsautl (when -pubin is set)
+ *
+ * Processes keys with the following headers:
+ *
+ * -----BEGIN ENCRYPTED PRIVATE KEY-----
+ * -----BEGIN PRIVATE KEY-----
+ * -----BEGIN PUBLIC KEY-----
+ *
+ * Analogous to ssh-keygen's pkcs8 format (as specified by -m). Although PKCS8
+ * is specific to private keys it's basically creating a DER-encoded wrapper
+ * for keys. This just extends that same concept to public keys (much like ssh-keygen)
+ *
+ * @category  Crypt
+ * @package   Common
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\Common\Formats\Keys;
+
+use ParagonIE\ConstantTime\Base64;
+use phpseclib3\Crypt\DES;
+use phpseclib3\Crypt\RC2;
+use phpseclib3\Crypt\RC4;
+use phpseclib3\Crypt\AES;
+use phpseclib3\Crypt\TripleDES;
+use phpseclib3\Crypt\Random;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\File\ASN1;
+use phpseclib3\File\ASN1\Maps;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Exception\UnsupportedAlgorithmException;
+
+/**
+ * PKCS#8 Formatted Key Handler
+ *
+ * @package Common
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PKCS8 extends PKCS
+{
+    /**
+     * Default encryption algorithm
+     *
+     * @var string
+     * @access private
+     */
+    private static $defaultEncryptionAlgorithm = 'id-PBES2';
+
+    /**
+     * Default encryption scheme
+     *
+     * Only used when defaultEncryptionAlgorithm is id-PBES2
+     *
+     * @var string
+     * @access private
+     */
+    private static $defaultEncryptionScheme = 'aes128-CBC-PAD';
+
+    /**
+     * Default PRF
+     *
+     * Only used when defaultEncryptionAlgorithm is id-PBES2
+     *
+     * @var string
+     * @access private
+     */
+    private static $defaultPRF = 'id-hmacWithSHA256';
+
+    /**
+     * Default Iteration Count
+     *
+     * @var int
+     * @access private
+     */
+    private static $defaultIterationCount = 2048;
+
+    /**
+     * OIDs loaded
+     *
+     * @var bool
+     * @access private
+     */
+    private static $oidsLoaded = false;
+
+    /**
+     * Sets the default encryption algorithm
+     *
+     * @access public
+     * @param string $algo
+     */
+    public static function setEncryptionAlgorithm($algo)
+    {
+        self::$defaultEncryptionAlgorithm = $algo;
+    }
+
+    /**
+     * Sets the default encryption algorithm for PBES2
+     *
+     * @access public
+     * @param string $algo
+     */
+    public static function setEncryptionScheme($algo)
+    {
+        self::$defaultEncryptionScheme = $algo;
+    }
+
+    /**
+     * Sets the iteration count
+     *
+     * @access public
+     * @param int $count
+     */
+    public static function setIterationCount($count)
+    {
+        self::$defaultIterationCount = $count;
+    }
+
+    /**
+     * Sets the PRF for PBES2
+     *
+     * @access public
+     * @param string $algo
+     */
+    public static function setPRF($algo)
+    {
+        self::$defaultPRF = $algo;
+    }
+
+    /**
+     * Returns a SymmetricKey object based on a PBES1 $algo
+     *
+     * @return \phpseclib3\Crypt\Common\SymmetricKey
+     * @access public
+     * @param string $algo
+     */
+    private static function getPBES1EncryptionObject($algo)
+    {
+        $algo = preg_match('#^pbeWith(?:MD2|MD5|SHA1|SHA)And(.*?)-CBC$#', $algo, $matches) ?
+            $matches[1] :
+            substr($algo, 13); // strlen('pbeWithSHAAnd') == 13
+
+        switch ($algo) {
+            case 'DES':
+                $cipher = new DES('cbc');
+                break;
+            case 'RC2':
+                $cipher = new RC2('cbc');
+                break;
+            case '3-KeyTripleDES':
+                $cipher = new TripleDES('cbc');
+                break;
+            case '2-KeyTripleDES':
+                $cipher = new TripleDES('cbc');
+                $cipher->setKeyLength(128);
+                break;
+            case '128BitRC2':
+                $cipher = new RC2('cbc');
+                $cipher->setKeyLength(128);
+                break;
+            case '40BitRC2':
+                $cipher = new RC2('cbc');
+                $cipher->setKeyLength(40);
+                break;
+            case '128BitRC4':
+                $cipher = new RC4();
+                $cipher->setKeyLength(128);
+                break;
+            case '40BitRC4':
+                $cipher = new RC4();
+                $cipher->setKeyLength(40);
+                break;
+            default:
+                throw new UnsupportedAlgorithmException("$algo is not a supported algorithm");
+        }
+
+        return $cipher;
+    }
+
+    /**
+     * Returns a hash based on a PBES1 $algo
+     *
+     * @return string
+     * @access public
+     * @param string $algo
+     */
+    private static function getPBES1Hash($algo)
+    {
+        if (preg_match('#^pbeWith(MD2|MD5|SHA1|SHA)And.*?-CBC$#', $algo, $matches)) {
+            return $matches[1] == 'SHA' ? 'sha1' : $matches[1];
+        }
+
+        return 'sha1';
+    }
+
+    /**
+     * Returns a KDF baesd on a PBES1 $algo
+     *
+     * @return string
+     * @access public
+     * @param string $algo
+     */
+    private static function getPBES1KDF($algo)
+    {
+        switch ($algo) {
+            case 'pbeWithMD2AndDES-CBC':
+            case 'pbeWithMD2AndRC2-CBC':
+            case 'pbeWithMD5AndDES-CBC':
+            case 'pbeWithMD5AndRC2-CBC':
+            case 'pbeWithSHA1AndDES-CBC':
+            case 'pbeWithSHA1AndRC2-CBC':
+                return 'pbkdf1';
+        }
+
+        return 'pkcs12';
+    }
+
+    /**
+     * Returns a SymmetricKey object baesd on a PBES2 $algo
+     *
+     * @return SymmetricKey
+     * @access public
+     * @param string $algo
+     */
+    private static function getPBES2EncryptionObject($algo)
+    {
+        switch ($algo) {
+            case 'desCBC':
+                $cipher = new TripleDES('cbc');
+                break;
+            case 'des-EDE3-CBC':
+                $cipher = new TripleDES('cbc');
+                break;
+            case 'rc2CBC':
+                $cipher = new RC2('cbc');
+                // in theory this can be changed
+                $cipher->setKeyLength(128);
+                break;
+            case 'rc5-CBC-PAD':
+                throw new UnsupportedAlgorithmException('rc5-CBC-PAD is not supported for PBES2 PKCS#8 keys');
+            case 'aes128-CBC-PAD':
+            case 'aes192-CBC-PAD':
+            case 'aes256-CBC-PAD':
+                $cipher = new AES('cbc');
+                $cipher->setKeyLength(substr($algo, 3, 3));
+                break;
+            default:
+                throw new UnsupportedAlgorithmException("$algo is not supported");
+        }
+
+        return $cipher;
+    }
+
+    /**
+     * Initialize static variables
+     *
+     * @access private
+     */
+    private static function initialize_static_variables()
+    {
+        if (!static::$childOIDsLoaded) {
+            ASN1::loadOIDs(is_array(static::OID_NAME) ?
+                array_combine(static::OID_NAME, static::OID_VALUE) :
+                [static::OID_NAME => static::OID_VALUE]
+            );
+            static::$childOIDsLoaded = true;
+        }
+        if (!self::$oidsLoaded) {
+            // from https://tools.ietf.org/html/rfc2898
+            ASN1::loadOIDs([
+               // PBES1 encryption schemes
+               'pbeWithMD2AndDES-CBC' => '1.2.840.113549.1.5.1',
+               'pbeWithMD2AndRC2-CBC' => '1.2.840.113549.1.5.4',
+               'pbeWithMD5AndDES-CBC' => '1.2.840.113549.1.5.3',
+               'pbeWithMD5AndRC2-CBC' => '1.2.840.113549.1.5.6',
+               'pbeWithSHA1AndDES-CBC'=> '1.2.840.113549.1.5.10',
+               'pbeWithSHA1AndRC2-CBC'=> '1.2.840.113549.1.5.11',
+
+               // from PKCS#12:
+               // https://tools.ietf.org/html/rfc7292
+               'pbeWithSHAAnd128BitRC4' => '1.2.840.113549.1.12.1.1',
+               'pbeWithSHAAnd40BitRC4' => '1.2.840.113549.1.12.1.2',
+               'pbeWithSHAAnd3-KeyTripleDES-CBC' => '1.2.840.113549.1.12.1.3',
+               'pbeWithSHAAnd2-KeyTripleDES-CBC' => '1.2.840.113549.1.12.1.4',
+               'pbeWithSHAAnd128BitRC2-CBC' => '1.2.840.113549.1.12.1.5',
+               'pbeWithSHAAnd40BitRC2-CBC' => '1.2.840.113549.1.12.1.6',
+
+               'id-PBKDF2' => '1.2.840.113549.1.5.12',
+               'id-PBES2' => '1.2.840.113549.1.5.13',
+               'id-PBMAC1' => '1.2.840.113549.1.5.14',
+
+               // from PKCS#5 v2.1:
+               // http://www.rsa.com/rsalabs/pkcs/files/h11302-wp-pkcs5v2-1-password-based-cryptography-standard.pdf
+               'id-hmacWithSHA1' => '1.2.840.113549.2.7',
+               'id-hmacWithSHA224' => '1.2.840.113549.2.8',
+               'id-hmacWithSHA256' => '1.2.840.113549.2.9',
+               'id-hmacWithSHA384'=> '1.2.840.113549.2.10',
+               'id-hmacWithSHA512'=> '1.2.840.113549.2.11',
+               'id-hmacWithSHA512-224'=> '1.2.840.113549.2.12',
+               'id-hmacWithSHA512-256'=> '1.2.840.113549.2.13',
+
+               'desCBC'       => '1.3.14.3.2.7',
+               'des-EDE3-CBC' => '1.2.840.113549.3.7',
+               'rc2CBC' => '1.2.840.113549.3.2',
+               'rc5-CBC-PAD' => '1.2.840.113549.3.9',
+
+               'aes128-CBC-PAD' => '2.16.840.1.101.3.4.1.2',
+               'aes192-CBC-PAD'=> '2.16.840.1.101.3.4.1.22',
+               'aes256-CBC-PAD'=> '2.16.840.1.101.3.4.1.42'
+            ]);
+            self::$oidsLoaded = true;
+        }
+    }
+
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    protected static function load($key, $password = '')
+    {
+        $decoded = self::preParse($key);
+
+        $meta = [];
+
+        $decrypted = ASN1::asn1map($decoded[0], Maps\EncryptedPrivateKeyInfo::MAP);
+        if (strlen($password) && is_array($decrypted)) {
+            $algorithm = $decrypted['encryptionAlgorithm']['algorithm'];
+            switch ($algorithm) {
+                // PBES1
+                case 'pbeWithMD2AndDES-CBC':
+                case 'pbeWithMD2AndRC2-CBC':
+                case 'pbeWithMD5AndDES-CBC':
+                case 'pbeWithMD5AndRC2-CBC':
+                case 'pbeWithSHA1AndDES-CBC':
+                case 'pbeWithSHA1AndRC2-CBC':
+                case 'pbeWithSHAAnd3-KeyTripleDES-CBC':
+                case 'pbeWithSHAAnd2-KeyTripleDES-CBC':
+                case 'pbeWithSHAAnd128BitRC2-CBC':
+                case 'pbeWithSHAAnd40BitRC2-CBC':
+                case 'pbeWithSHAAnd128BitRC4':
+                case 'pbeWithSHAAnd40BitRC4':
+                    $cipher = self::getPBES1EncryptionObject($algorithm);
+                    $hash = self::getPBES1Hash($algorithm);
+                    $kdf = self::getPBES1KDF($algorithm);
+
+                    $meta['meta']['algorithm'] = $algorithm;
+
+                    $temp = ASN1::decodeBER($decrypted['encryptionAlgorithm']['parameters']);
+                    extract(ASN1::asn1map($temp[0], Maps\PBEParameter::MAP));
+                    $iterationCount = (int) $iterationCount->toString();
+                    $cipher->setPassword($password, $kdf, $hash, $salt, $iterationCount);
+                    $key = $cipher->decrypt($decrypted['encryptedData']);
+                    $decoded = ASN1::decodeBER($key);
+                    if (empty($decoded)) {
+                        throw new \RuntimeException('Unable to decode BER 2');
+                    }
+
+                    break;
+                case 'id-PBES2':
+                    $meta['meta']['algorithm'] = $algorithm;
+
+                    $temp = ASN1::decodeBER($decrypted['encryptionAlgorithm']['parameters']);
+                    $temp = ASN1::asn1map($temp[0], Maps\PBES2params::MAP);
+                    extract($temp);
+
+                    $cipher = self::getPBES2EncryptionObject($encryptionScheme['algorithm']);
+                    $meta['meta']['cipher'] = $encryptionScheme['algorithm'];
+
+                    $temp = ASN1::decodeBER($decrypted['encryptionAlgorithm']['parameters']);
+                    $temp = ASN1::asn1map($temp[0], Maps\PBES2params::MAP);
+                    extract($temp);
+
+                    if (!$cipher instanceof RC2) {
+                        $cipher->setIV($encryptionScheme['parameters']['octetString']);
+                    } else {
+                        $temp = ASN1::decodeBER($encryptionScheme['parameters']);
+                        extract(ASN1::asn1map($temp[0], Maps\RC2CBCParameter::MAP));
+                        $effectiveKeyLength = (int) $rc2ParametersVersion->toString();
+                        switch ($effectiveKeyLength) {
+                            case 160:
+                                $effectiveKeyLength = 40;
+                                break;
+                            case 120:
+                                $effectiveKeyLength = 64;
+                                break;
+                            case 58:
+                                $effectiveKeyLength = 128;
+                                break;
+                            //default: // should be >= 256
+                        }
+                        $cipher->setIV($iv);
+                        $cipher->setKeyLength($effectiveKeyLength);
+                    }
+
+                    $meta['meta']['keyDerivationFunc'] = $keyDerivationFunc['algorithm'];
+                    switch ($keyDerivationFunc['algorithm']) {
+                        case 'id-PBKDF2':
+                            $temp = ASN1::decodeBER($keyDerivationFunc['parameters']);
+                            $prf = ['algorithm' => 'id-hmacWithSHA1'];
+                            $params = ASN1::asn1map($temp[0], Maps\PBKDF2params::MAP);
+                            extract($params);
+                            $meta['meta']['prf'] = $prf['algorithm'];
+                            $hash = str_replace('-', '/', substr($prf['algorithm'], 11));
+                            $params = [
+                                $password,
+                                'pbkdf2',
+                                $hash,
+                                $salt,
+                                (int) $iterationCount->toString()
+                            ];
+                            if (isset($keyLength)) {
+                                $params[] = (int) $keyLength->toString();
+                            }
+                            $cipher->setPassword(...$params);
+                            $key = $cipher->decrypt($decrypted['encryptedData']);
+                            $decoded = ASN1::decodeBER($key);
+                            if (empty($decoded)) {
+                                throw new \RuntimeException('Unable to decode BER 3');
+                            }
+                            break;
+                        default:
+                            throw new UnsupportedAlgorithmException('Only PBKDF2 is supported for PBES2 PKCS#8 keys');
+                    }
+                    break;
+                case 'id-PBMAC1':
+                    //$temp = ASN1::decodeBER($decrypted['encryptionAlgorithm']['parameters']);
+                    //$value = ASN1::asn1map($temp[0], Maps\PBMAC1params::MAP);
+                    // since i can't find any implementation that does PBMAC1 it is unsupported
+                    throw new UnsupportedAlgorithmException('Only PBES1 and PBES2 PKCS#8 keys are supported.');
+                // at this point we'll assume that the key conforms to PublicKeyInfo
+            }
+        }
+
+        $private = ASN1::asn1map($decoded[0], Maps\OneAsymmetricKey::MAP);
+        if (is_array($private)) {
+            if (isset($private['privateKeyAlgorithm']['parameters']) && !$private['privateKeyAlgorithm']['parameters'] instanceof ASN1\Element && isset($decoded[0]['content'][1]['content'][1])) {
+                $temp = $decoded[0]['content'][1]['content'][1];
+                $private['privateKeyAlgorithm']['parameters'] = new ASN1\Element(substr($key, $temp['start'], $temp['length']));
+            }
+            if (is_array(static::OID_NAME)) {
+                if (!in_array($private['privateKeyAlgorithm']['algorithm'], static::OID_NAME)) {
+                    throw new UnsupportedAlgorithmException($private['privateKeyAlgorithm']['algorithm'] . ' is not a supported key type');
+                }
+            } else {
+                if ($private['privateKeyAlgorithm']['algorithm'] != static::OID_NAME) {
+                    throw new UnsupportedAlgorithmException('Only ' . static::OID_NAME . ' keys are supported; this is a ' . $private['privateKeyAlgorithm']['algorithm'] . ' key');
+                }
+            }
+            if (isset($private['publicKey'])) {
+                if ($private['publicKey'][0] != "\0") {
+                    throw new \UnexpectedValueException('The first byte of the public key should be null - not ' . bin2hex($private['publicKey'][0]));
+                }
+                $private['publicKey'] = substr($private['publicKey'], 1);
+            }
+            return $private + $meta;
+        }
+
+        // EncryptedPrivateKeyInfo and PublicKeyInfo have largely identical "signatures". the only difference
+        // is that the former has an octet string and the later has a bit string. the first byte of a bit
+        // string represents the number of bits in the last byte that are to be ignored but, currently,
+        // bit strings wanting a non-zero amount of bits trimmed are not supported
+        $public = ASN1::asn1map($decoded[0], Maps\PublicKeyInfo::MAP);
+
+        if (is_array($public)) {
+            if ($public['publicKey'][0] != "\0") {
+                throw new \UnexpectedValueException('The first byte of the public key should be null - not ' . bin2hex($public['publicKey'][0]));
+            }
+            if (is_array(static::OID_NAME)) {
+                if (!in_array($public['publicKeyAlgorithm']['algorithm'], static::OID_NAME)) {
+                    throw new UnsupportedAlgorithmException($public['publicKeyAlgorithm']['algorithm'] . ' is not a supported key type');
+                }
+            } else {
+                if ($public['publicKeyAlgorithm']['algorithm'] != static::OID_NAME) {
+                    throw new UnsupportedAlgorithmException('Only ' . static::OID_NAME . ' keys are supported; this is a ' . $public['publicKeyAlgorithm']['algorithm'] . ' key');
+                }
+            }
+            if (isset($public['publicKeyAlgorithm']['parameters']) && !$public['publicKeyAlgorithm']['parameters'] instanceof ASN1\Element && isset($decoded[0]['content'][0]['content'][1])) {
+                $temp = $decoded[0]['content'][0]['content'][1];
+                $public['publicKeyAlgorithm']['parameters'] = new ASN1\Element(substr($key, $temp['start'], $temp['length']));
+            }
+            $public['publicKey'] = substr($public['publicKey'], 1);
+            return $public;
+        }
+
+        throw new \RuntimeException('Unable to parse using either OneAsymmetricKey or PublicKeyInfo ASN1 maps');
+    }
+
+    /**
+     * Wrap a private key appropriately
+     *
+     * @access public
+     * @param string $key
+     * @param string $attr
+     * @param mixed $params
+     * @param string $password
+     * @param string $oid optional
+     * @param string $publicKey optional
+     * @param array $options optional
+     * @return string
+     */
+    protected static function wrapPrivateKey($key, $attr, $params, $password, $oid = null, $publicKey = '', array $options = [])
+    {
+        self::initialize_static_variables();
+
+        $key = [
+            'version' => 'v1',
+            'privateKeyAlgorithm' => [
+                'algorithm' => is_string(static::OID_NAME) ? static::OID_NAME : $oid,
+                'parameters' => $params
+             ],
+            'privateKey' => $key
+        ];
+        if (!empty($attr)) {
+            $key['attributes'] = $attr;
+        }
+        if (!empty($publicKey)) {
+            $key['version'] = 'v2';
+            $key['publicKey'] = $publicKey;
+        }
+        $key = ASN1::encodeDER($key, Maps\OneAsymmetricKey::MAP);
+        if (!empty($password) && is_string($password)) {
+            $salt = Random::string(8);
+
+            $iterationCount = isset($options['iterationCount']) ? $options['iterationCount'] : self::$defaultIterationCount;
+            $encryptionAlgorithm = isset($options['encryptionAlgorithm']) ? $options['encryptionAlgorithm'] : self::$defaultEncryptionAlgorithm;
+            $encryptionScheme = isset($options['encryptionScheme']) ? $options['encryptionScheme'] : self::$defaultEncryptionScheme;
+            $prf = isset($options['PRF']) ? $options['PRF'] : self::$defaultPRF;
+
+            if ($encryptionAlgorithm == 'id-PBES2') {
+                $crypto = self::getPBES2EncryptionObject($encryptionScheme);
+                $hash = str_replace('-', '/', substr($prf, 11));
+                $kdf = 'pbkdf2';
+                $iv = Random::string($crypto->getBlockLength() >> 3);
+
+                $PBKDF2params = [
+                    'salt' => $salt,
+                    'iterationCount' => $iterationCount,
+                    'prf' => ['algorithm' => $prf, 'parameters' => null]
+                ];
+                $PBKDF2params = ASN1::encodeDER($PBKDF2params, Maps\PBKDF2params::MAP);
+
+                if (!$crypto instanceof RC2) {
+                    $params = ['octetString' => $iv];
+                } else {
+                    $params = [
+                        'rc2ParametersVersion' => 58,
+                        'iv' => $iv
+                    ];
+                    $params = ASN1::encodeDER($params, Maps\RC2CBCParameter::MAP);
+                    $params = new ASN1\Element($params);
+                }
+
+                $params = [
+                    'keyDerivationFunc' => [
+                        'algorithm' => 'id-PBKDF2',
+                        'parameters' => new ASN1\Element($PBKDF2params)
+                    ],
+                    'encryptionScheme' => [
+                        'algorithm' => $encryptionScheme,
+                        'parameters' => $params
+                    ]
+                ];
+                $params = ASN1::encodeDER($params, Maps\PBES2params::MAP);
+
+                $crypto->setIV($iv);
+            } else {
+                $crypto = self::getPBES1EncryptionObject($encryptionAlgorithm);
+                $hash = self::getPBES1Hash($encryptionAlgorithm);
+                $kdf = self::getPBES1KDF($encryptionAlgorithm);
+
+                $params = [
+                    'salt' => $salt,
+                    'iterationCount' => $iterationCount
+                ];
+                $params = ASN1::encodeDER($params, Maps\PBEParameter::MAP);
+            }
+            $crypto->setPassword($password, $kdf, $hash, $salt, $iterationCount);
+            $key = $crypto->encrypt($key);
+
+            $key = [
+                'encryptionAlgorithm' => [
+                    'algorithm' => $encryptionAlgorithm,
+                    'parameters' => new ASN1\Element($params)
+                ],
+                'encryptedData' => $key
+            ];
+
+            $key = ASN1::encodeDER($key, Maps\EncryptedPrivateKeyInfo::MAP);
+
+            return "-----BEGIN ENCRYPTED PRIVATE KEY-----\r\n" .
+                   chunk_split(Base64::encode($key), 64) .
+                   "-----END ENCRYPTED PRIVATE KEY-----";
+        }
+
+        return "-----BEGIN PRIVATE KEY-----\r\n" .
+               chunk_split(Base64::encode($key), 64) .
+               "-----END PRIVATE KEY-----";
+    }
+
+    /**
+     * Wrap a public key appropriately
+     *
+     * @access public
+     * @param string $key
+     * @param mixed $params
+     * @param string $oid
+     * @return string
+     */
+    protected static function wrapPublicKey($key, $params, $oid = null)
+    {
+        self::initialize_static_variables();
+
+        $key = [
+            'publicKeyAlgorithm' => [
+                'algorithm' => is_string(static::OID_NAME) ? static::OID_NAME : $oid,
+                'parameters' => $params
+            ],
+            'publicKey' => "\0" . $key
+        ];
+
+        $key = ASN1::encodeDER($key, Maps\PublicKeyInfo::MAP);
+
+        return "-----BEGIN PUBLIC KEY-----\r\n" .
+               chunk_split(Base64::encode($key), 64) .
+               "-----END PUBLIC KEY-----";
+    }
+
+    /**
+     * Perform some preliminary parsing of the key
+     *
+     * @param string $key
+     * @return array
+     */
+    private static function preParse(&$key)
+    {
+        self::initialize_static_variables();
+
+        if (!Strings::is_stringable($key)) {
+            throw new \UnexpectedValueException('Key should be a string - not a ' . gettype($key));
+        }
+
+        if (self::$format != self::MODE_DER) {
+            $decoded = ASN1::extractBER($key);
+            if ($decoded !== false) {
+                $key = $decoded;
+            } elseif (self::$format == self::MODE_PEM) {
+                throw new \UnexpectedValueException('Expected base64-encoded PEM format but was unable to decode base64 text');
+            }
+        }
+
+        $decoded = ASN1::decodeBER($key);
+        if (empty($decoded)) {
+            throw new \RuntimeException('Unable to decode BER');
+        }
+
+        return $decoded;
+    }
+
+    /**
+     * Returns the encryption parameters used by the key
+     *
+     * @param string $key
+     * @return array
+     */
+    public static function extractEncryptionAlgorithm($key)
+    {
+        $decoded = self::preParse($key);
+
+        $r = ASN1::asn1map($decoded[0], ASN1\Maps\EncryptedPrivateKeyInfo::MAP);
+        if (!is_array($r)) {
+            throw new \RuntimeException('Unable to parse using EncryptedPrivateKeyInfo map');
+        }
+
+        if ($r['encryptionAlgorithm']['algorithm'] == 'id-PBES2') {
+            $decoded = ASN1::decodeBER($r['encryptionAlgorithm']['parameters']->element);
+            $r['encryptionAlgorithm']['parameters'] = ASN1::asn1map($decoded[0], ASN1\Maps\PBES2params::MAP);
+
+            $kdf = &$r['encryptionAlgorithm']['parameters']['keyDerivationFunc'];
+            switch ($kdf['algorithm']) {
+                case 'id-PBKDF2':
+                    $decoded = ASN1::decodeBER($kdf['parameters']->element);
+                    $kdf['parameters'] = ASN1::asn1map($decoded[0], Maps\PBKDF2params::MAP);
+            }
+        }
+
+        return $r['encryptionAlgorithm'];
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Formats/Keys/PuTTY.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Formats/Keys/PuTTY.php
new file mode 100644
index 000000000..ccd06f75e
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Formats/Keys/PuTTY.php
@@ -0,0 +1,261 @@
+<?php
+
+/**
+ * PuTTY Formatted Key Handler
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   Common
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\Common\Formats\Keys;
+
+use ParagonIE\ConstantTime\Base64;
+use ParagonIE\ConstantTime\Hex;
+use phpseclib3\Crypt\AES;
+use phpseclib3\Crypt\Hash;
+use phpseclib3\Crypt\Random;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Exception\UnsupportedAlgorithmException;
+
+/**
+ * PuTTY Formatted Key Handler
+ *
+ * @package Common
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PuTTY
+{
+    /**
+     * Default comment
+     *
+     * @var string
+     * @access private
+     */
+    private static $comment = 'phpseclib-generated-key';
+
+    /**
+     * Sets the default comment
+     *
+     * @access public
+     * @param string $comment
+     */
+    public static function setComment($comment)
+    {
+        self::$comment = str_replace(["\r", "\n"], '', $comment);
+    }
+
+    /**
+     * Generate a symmetric key for PuTTY keys
+     *
+     * @access public
+     * @param string $password
+     * @param int $length
+     * @return string
+     */
+    private static function generateSymmetricKey($password, $length)
+    {
+        $symkey = '';
+        $sequence = 0;
+        while (strlen($symkey) < $length) {
+            $temp = pack('Na*', $sequence++, $password);
+            $symkey.= Hex::decode(sha1($temp));
+        }
+        return substr($symkey, 0, $length);
+    }
+
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password
+     * @return array
+     */
+    public static function load($key, $password)
+    {
+        if (!Strings::is_stringable($key)) {
+            throw new \UnexpectedValueException('Key should be a string - not a ' . gettype($key));
+        }
+
+        if (strpos($key, 'BEGIN SSH2 PUBLIC KEY') !== false) {
+            $lines = preg_split('#[\r\n]+#', $key);
+            switch (true) {
+                case $lines[0] != '---- BEGIN SSH2 PUBLIC KEY ----':
+                    throw new \UnexpectedValueException('Key doesn\'t start with ---- BEGIN SSH2 PUBLIC KEY ----');
+                case $lines[count($lines) - 1] != '---- END SSH2 PUBLIC KEY ----':
+                    throw new \UnexpectedValueException('Key doesn\'t end with ---- END SSH2 PUBLIC KEY ----');
+            }
+            $lines = array_splice($lines, 1, -1);
+            $lines = array_map(function ($line) {
+                return rtrim($line, "\r\n");
+            }, $lines);
+            $data = $current = '';
+            $values = [];
+            $in_value = false;
+            foreach ($lines as $line) {
+                switch (true) {
+                    case preg_match('#^(.*?): (.*)#', $line, $match):
+                        $in_value = $line[strlen($line) - 1] == '\\';
+                        $current = strtolower($match[1]);
+                        $values[$current] = $in_value ? substr($match[2], 0, -1) : $match[2];
+                        break;
+                    case $in_value:
+                        $in_value = $line[strlen($line) - 1] == '\\';
+                        $values[$current].= $in_value ? substr($line, 0, -1) : $line;
+                        break;
+                    default:
+                        $data.= $line;
+                }
+            }
+
+            $components = call_user_func([static::PUBLIC_HANDLER, 'load'], $data);
+            if ($components === false) {
+                throw new \UnexpectedValueException('Unable to decode public key');
+            }
+            $components+= $values;
+            $components['comment'] = str_replace(['\\\\', '\"'], ['\\', '"'], $values['comment']);
+
+            return $components;
+        }
+
+        $components = [];
+
+        $key = preg_split('#\r\n|\r|\n#', trim($key));
+        $type = trim(preg_replace('#PuTTY-User-Key-File-2: (.+)#', '$1', $key[0]));
+        $components['type'] = $type;
+        if (!in_array($type, static::$types)) {
+            $error = count(static::$types) == 1 ?
+                'Only ' . static::$types[0] . ' keys are supported. ' :
+                '';
+            throw new UnsupportedAlgorithmException($error . 'This is an unsupported ' . $type . ' key');
+        }
+        $encryption = trim(preg_replace('#Encryption: (.+)#', '$1', $key[1]));
+        $components['comment'] = trim(preg_replace('#Comment: (.+)#', '$1', $key[2]));
+
+        $publicLength = trim(preg_replace('#Public-Lines: (\d+)#', '$1', $key[3]));
+        $public = Base64::decode(implode('', array_map('trim', array_slice($key, 4, $publicLength))));
+
+        $source = Strings::packSSH2('ssss', $type, $encryption, $components['comment'], $public);
+
+        extract(unpack('Nlength', Strings::shift($public, 4)));
+        $newtype = Strings::shift($public, $length);
+        if ($newtype != $type) {
+            throw new \RuntimeException('The binary type does not match the human readable type field');
+        }
+
+        $components['public'] = $public;
+
+        $privateLength = trim(preg_replace('#Private-Lines: (\d+)#', '$1', $key[$publicLength + 4]));
+        $private = Base64::decode(implode('', array_map('trim', array_slice($key, $publicLength + 5, $privateLength))));
+
+        switch ($encryption) {
+            case 'aes256-cbc':
+                $symkey = self::generateSymmetricKey($password, 32);
+                $crypto = new AES('cbc');
+        }
+
+        $hashkey = 'putty-private-key-file-mac-key';
+
+        if ($encryption != 'none') {
+            $hashkey.= $password;
+            $crypto->setKey($symkey);
+            $crypto->setIV(str_repeat("\0", $crypto->getBlockLength() >> 3));
+            $crypto->disablePadding();
+            $private = $crypto->decrypt($private);
+        }
+
+        $source.= Strings::packSSH2('s', $private);
+
+        $hash = new Hash('sha1');
+        $hash->setKey(sha1($hashkey, true));
+        $hmac = trim(preg_replace('#Private-MAC: (.+)#', '$1', $key[$publicLength + $privateLength + 5]));
+        $hmac = Hex::decode($hmac);
+
+        if (!hash_equals($hash->hash($source), $hmac)) {
+            throw new \UnexpectedValueException('MAC validation error');
+        }
+
+        $components['private'] = $private;
+
+        return $components;
+    }
+
+    /**
+     * Wrap a private key appropriately
+     *
+     * @access private
+     * @param string $public
+     * @param string $private
+     * @param string $type
+     * @param string $password
+     * @param array $options optional
+     * @return string
+     */
+    protected static function wrapPrivateKey($public, $private, $type, $password, array $options = [])
+    {
+        $encryption = (!empty($password) || is_string($password)) ? 'aes256-cbc' : 'none';
+        $comment = isset($options['comment']) ? $options['comment'] : self::$comment;
+
+        $key = "PuTTY-User-Key-File-2: " . $type . "\r\nEncryption: ";        $key.= $encryption;
+        $key.= "\r\nComment: " . $comment . "\r\n";
+
+        $public = Strings::packSSH2('s', $type) . $public;
+
+        $source = Strings::packSSH2('ssss', $type, $encryption, $comment, $public);
+
+        $public = Base64::encode($public);
+        $key.= "Public-Lines: " . ((strlen($public) + 63) >> 6) . "\r\n";
+        $key.= chunk_split($public, 64);
+
+        if (empty($password) && !is_string($password)) {
+            $source.= Strings::packSSH2('s', $private);
+            $hashkey = 'putty-private-key-file-mac-key';
+        } else {
+            $private.= Random::string(16 - (strlen($private) & 15));
+            $source.= Strings::packSSH2('s', $private);
+            $crypto = new AES('cbc');
+
+            $crypto->setKey(self::generateSymmetricKey($password, 32));
+            $crypto->setIV(str_repeat("\0", $crypto->getBlockLength() >> 3));
+            $crypto->disablePadding();
+            $private = $crypto->encrypt($private);
+            $hashkey = 'putty-private-key-file-mac-key' . $password;
+        }
+
+        $private = Base64::encode($private);
+        $key.= 'Private-Lines: ' . ((strlen($private) + 63) >> 6) . "\r\n";
+        $key.= chunk_split($private, 64);
+        $hash = new Hash('sha1');
+        $hash->setKey(sha1($hashkey, true));
+        $key.= 'Private-MAC: ' . Hex::encode($hash->hash($source)) . "\r\n";
+
+        return $key;
+    }
+
+    /**
+     * Wrap a public key appropriately
+     *
+     * This is basically the format described in RFC 4716 (https://tools.ietf.org/html/rfc4716)
+     *
+     * @access private
+     * @param string $key
+     * @param string $type
+     * @return string
+     */
+    protected static function wrapPublicKey($key, $type)
+    {
+        $key = pack('Na*a*', strlen($type), $type, $key);
+        $key = "---- BEGIN SSH2 PUBLIC KEY ----\r\n" .
+               'Comment: "' . str_replace(['\\', '"'], ['\\\\', '\"'], self::$comment) . "\"\r\n" .
+               chunk_split(Base64::encode($key), 64) .
+               '---- END SSH2 PUBLIC KEY ----';
+        return $key;
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Formats/Signature/Raw.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Formats/Signature/Raw.php
new file mode 100644
index 000000000..13e56e3b5
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Formats/Signature/Raw.php
@@ -0,0 +1,66 @@
+<?php
+
+/**
+ * Raw Signature Handler
+ *
+ * PHP version 5
+ *
+ * Handles signatures as arrays
+ *
+ * @category  Crypt
+ * @package   Common
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\Common\Formats\Signature;
+
+use phpseclib3\Math\BigInteger;
+
+/**
+ * Raw Signature Handler
+ *
+ * @package Common
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Raw
+{
+    /**
+     * Loads a signature
+     *
+     * @access public
+     * @param array $sig
+     * @return array|bool
+     */
+    public static function load($sig)
+    {
+        switch (true) {
+            case !is_array($sig):
+            case !isset($sig['r']) || !isset($sig['s']):
+            case !$sig['r'] instanceof BigInteger:
+            case !$sig['s'] instanceof BigInteger:
+                return false;
+        }
+
+        return [
+            'r' => $sig['r'],
+            's' => $sig['s']
+        ];
+    }
+
+    /**
+     * Returns a signature in the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $r
+     * @param \phpseclib3\Math\BigInteger $s
+     * @return string
+     */
+    public static function save(BigInteger $r, BigInteger $s)
+    {
+        return compact('r', 's');
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/PrivateKey.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/PrivateKey.php
new file mode 100644
index 000000000..007123283
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/PrivateKey.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * PrivateKey interface
+ *
+ * @category  Crypt
+ * @package   Common
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2009 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\Common;
+
+/**
+ * PrivateKey interface
+ *
+ * @package Common
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+interface PrivateKey
+{
+    public function sign($message);
+    //public function decrypt($ciphertext);
+    public function getPublicKey();
+    public function toString($type, array $options = []);
+    public function withPassword($string);
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/PublicKey.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/PublicKey.php
new file mode 100644
index 000000000..0696de18c
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/PublicKey.php
@@ -0,0 +1,29 @@
+<?php
+
+/**
+ * PublicKey interface
+ *
+ * @category  Crypt
+ * @package   Common
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2009 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\Common;
+
+/**
+ * PublicKey interface
+ *
+ * @package Common
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+interface PublicKey
+{
+    public function verify($message, $signature);
+    //public function encrypt($plaintext);
+    public function toString($type, array $options = []);
+    public function getFingerprint($algorithm);
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/StreamCipher.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/StreamCipher.php
new file mode 100644
index 000000000..f4d076d06
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/StreamCipher.php
@@ -0,0 +1,59 @@
+<?php
+
+/**
+ * Base Class for all stream ciphers
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   StreamCipher
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @author    Hans-Juergen Petrich <petrich@tronic-media.com>
+ * @copyright 2007 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\Common;
+
+/**
+ * Base Class for all stream cipher classes
+ *
+ * @package StreamCipher
+ * @author  Jim Wigginton <terrafrost@php.net>
+ */
+abstract class StreamCipher extends SymmetricKey
+{
+    /**
+     * Block Length of the cipher
+     *
+     * Stream ciphers do not have a block size
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::block_size
+     * @var int
+     * @access private
+     */
+    protected $block_size = 0;
+
+    /**
+     * Default Constructor.
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::__construct()
+     * @return \phpseclib3\Crypt\Common\StreamCipher
+     */
+    public function __construct()
+    {
+        parent::__construct('stream');
+    }
+
+    /**
+     * Stream ciphers not use an IV
+     *
+     * @access public
+     * @return bool
+     */
+    public function usesIV()
+    {
+        return false;
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/SymmetricKey.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/SymmetricKey.php
new file mode 100644
index 000000000..76019337f
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/SymmetricKey.php
@@ -0,0 +1,3271 @@
+<?php
+
+/**
+ * Base Class for all \phpseclib3\Crypt\* cipher classes
+ *
+ * PHP version 5
+ *
+ * Internally for phpseclib developers:
+ *  If you plan to add a new cipher class, please note following rules:
+ *
+ *  - The new \phpseclib3\Crypt\* cipher class should extend \phpseclib3\Crypt\Common\SymmetricKey
+ *
+ *  - Following methods are then required to be overridden/overloaded:
+ *
+ *    - encryptBlock()
+ *
+ *    - decryptBlock()
+ *
+ *    - setupKey()
+ *
+ *  - All other methods are optional to be overridden/overloaded
+ *
+ *  - Look at the source code of the current ciphers how they extend \phpseclib3\Crypt\Common\SymmetricKey
+ *    and take one of them as a start up for the new cipher class.
+ *
+ *  - Please read all the other comments/notes/hints here also for each class var/method
+ *
+ * @category  Crypt
+ * @package   Base
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @author    Hans-Juergen Petrich <petrich@tronic-media.com>
+ * @copyright 2007 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\Common;
+
+use phpseclib3\Crypt\Hash;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Math\BinaryField;
+use phpseclib3\Math\PrimeField;
+use phpseclib3\Exception\BadDecryptionException;
+use phpseclib3\Exception\BadModeException;
+use phpseclib3\Exception\InconsistentSetupException;
+use phpseclib3\Exception\InsufficientSetupException;
+use phpseclib3\Exception\UnsupportedAlgorithmException;
+
+/**
+ * Base Class for all \phpseclib3\Crypt\* cipher classes
+ *
+ * @package Base
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @author  Hans-Juergen Petrich <petrich@tronic-media.com>
+ */
+abstract class SymmetricKey
+{
+    /**
+     * Encrypt / decrypt using the Counter mode.
+     *
+     * Set to -1 since that's what Crypt/Random.php uses to index the CTR mode.
+     *
+     * @link http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation#Counter_.28CTR.29
+     * @access public
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::encrypt()
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::decrypt()
+     */
+    const MODE_CTR = -1;
+    /**
+     * Encrypt / decrypt using the Electronic Code Book mode.
+     *
+     * @link http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation#Electronic_codebook_.28ECB.29
+     * @access public
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::encrypt()
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::decrypt()
+     */
+    const MODE_ECB = 1;
+    /**
+     * Encrypt / decrypt using the Code Book Chaining mode.
+     *
+     * @link http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation#Cipher-block_chaining_.28CBC.29
+     * @access public
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::encrypt()
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::decrypt()
+     */
+    const MODE_CBC = 2;
+    /**
+     * Encrypt / decrypt using the Cipher Feedback mode.
+     *
+     * @link http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation#Cipher_feedback_.28CFB.29
+     * @access public
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::encrypt()
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::decrypt()
+     */
+    const MODE_CFB = 3;
+    /**
+     * Encrypt / decrypt using the Cipher Feedback mode (8bit)
+     *
+     * @access public
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::encrypt()
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::decrypt()
+     */
+    const MODE_CFB8 = 38;
+    /**
+     * Encrypt / decrypt using the Output Feedback mode.
+     *
+     * @link http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation#Output_feedback_.28OFB.29
+     * @access public
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::encrypt()
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::decrypt()
+     */
+    const MODE_OFB = 4;
+    /**
+     * Encrypt / decrypt using Galois/Counter mode.
+     *
+     * @link https://en.wikipedia.org/wiki/Galois/Counter_Mode
+     * @access public
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::encrypt()
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::decrypt()
+     */
+    const MODE_GCM = 5;
+    /**
+     * Encrypt / decrypt using streaming mode.
+     *
+     * @access public
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::encrypt()
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::decrypt()
+     */
+    const MODE_STREAM = 6;
+
+    /**
+     * Mode Map
+     *
+     * @access private
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::__construct()
+     */
+    const MODE_MAP = [
+        'ctr'    => self::MODE_CTR,
+        'ecb'    => self::MODE_ECB,
+        'cbc'    => self::MODE_CBC,
+        'cfb'    => self::MODE_CFB,
+        'cfb8'   => self::MODE_CFB8,
+        'ofb'    => self::MODE_OFB,
+        'gcm'    => self::MODE_GCM,
+        'stream' => self::MODE_STREAM
+    ];
+
+    /**
+     * Base value for the internal implementation $engine switch
+     *
+     * @access private
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::__construct()
+     */
+    const ENGINE_INTERNAL = 1;
+    /**
+     * Base value for the eval() implementation $engine switch
+     *
+     * @access private
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::__construct()
+     */
+    const ENGINE_EVAL = 2;
+    /**
+     * Base value for the mcrypt implementation $engine switch
+     *
+     * @access private
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::__construct()
+     */
+    const ENGINE_MCRYPT = 3;
+    /**
+     * Base value for the openssl implementation $engine switch
+     *
+     * @access private
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::__construct()
+     */
+    const ENGINE_OPENSSL = 4;
+    /**
+     * Base value for the libsodium implementation $engine switch
+     *
+     * @access private
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::__construct()
+     */
+    const ENGINE_LIBSODIUM = 5;
+    /**
+     * Base value for the openssl / gcm implementation $engine switch
+     *
+     * @access private
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::__construct()
+     */
+    const ENGINE_OPENSSL_GCM = 6;
+
+    /**
+     * Engine Reverse Map
+     *
+     * @access private
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::getEngine()
+     */
+    const ENGINE_MAP = [
+        self::ENGINE_INTERNAL    => 'PHP',
+        self::ENGINE_EVAL        => 'Eval',
+        self::ENGINE_MCRYPT      => 'mcrypt',
+        self::ENGINE_OPENSSL     => 'OpenSSL',
+        self::ENGINE_LIBSODIUM   => 'libsodium',
+        self::ENGINE_OPENSSL_GCM => 'OpenSSL (GCM)'
+    ];
+
+    /**
+     * The Encryption Mode
+     *
+     * @see self::__construct()
+     * @var int
+     * @access private
+     */
+    protected $mode;
+
+    /**
+     * The Block Length of the block cipher
+     *
+     * @var int
+     * @access private
+     */
+    protected $block_size = 16;
+
+    /**
+     * The Key
+     *
+     * @see self::setKey()
+     * @var string
+     * @access private
+     */
+    protected $key = false;
+
+    /**
+     * The Initialization Vector
+     *
+     * @see self::setIV()
+     * @var string
+     * @access private
+     */
+    private $iv = false;
+
+    /**
+     * A "sliding" Initialization Vector
+     *
+     * @see self::enableContinuousBuffer()
+     * @see self::clearBuffers()
+     * @var string
+     * @access private
+     */
+    protected $encryptIV;
+
+    /**
+     * A "sliding" Initialization Vector
+     *
+     * @see self::enableContinuousBuffer()
+     * @see self::clearBuffers()
+     * @var string
+     * @access private
+     */
+    protected $decryptIV;
+
+    /**
+     * Continuous Buffer status
+     *
+     * @see self::enableContinuousBuffer()
+     * @var bool
+     * @access private
+     */
+    protected $continuousBuffer = false;
+
+    /**
+     * Encryption buffer for CTR, OFB and CFB modes
+     *
+     * @see self::encrypt()
+     * @see self::clearBuffers()
+     * @var array
+     * @access private
+     */
+    protected $enbuffer;
+
+    /**
+     * Decryption buffer for CTR, OFB and CFB modes
+     *
+     * @see self::decrypt()
+     * @see self::clearBuffers()
+     * @var array
+     * @access private
+     */
+    protected $debuffer;
+
+    /**
+     * mcrypt resource for encryption
+     *
+     * The mcrypt resource can be recreated every time something needs to be created or it can be created just once.
+     * Since mcrypt operates in continuous mode, by default, it'll need to be recreated when in non-continuous mode.
+     *
+     * @see self::encrypt()
+     * @var resource
+     * @access private
+     */
+    private $enmcrypt;
+
+    /**
+     * mcrypt resource for decryption
+     *
+     * The mcrypt resource can be recreated every time something needs to be created or it can be created just once.
+     * Since mcrypt operates in continuous mode, by default, it'll need to be recreated when in non-continuous mode.
+     *
+     * @see self::decrypt()
+     * @var resource
+     * @access private
+     */
+    private $demcrypt;
+
+    /**
+     * Does the enmcrypt resource need to be (re)initialized?
+     *
+     * @see \phpseclib3\Crypt\Twofish::setKey()
+     * @see \phpseclib3\Crypt\Twofish::setIV()
+     * @var bool
+     * @access private
+     */
+    private $enchanged = true;
+
+    /**
+     * Does the demcrypt resource need to be (re)initialized?
+     *
+     * @see \phpseclib3\Crypt\Twofish::setKey()
+     * @see \phpseclib3\Crypt\Twofish::setIV()
+     * @var bool
+     * @access private
+     */
+    private $dechanged = true;
+
+    /**
+     * mcrypt resource for CFB mode
+     *
+     * mcrypt's CFB mode, in (and only in) buffered context,
+     * is broken, so phpseclib implements the CFB mode by it self,
+     * even when the mcrypt php extension is available.
+     *
+     * In order to do the CFB-mode work (fast) phpseclib
+     * use a separate ECB-mode mcrypt resource.
+     *
+     * @link http://phpseclib.sourceforge.net/cfb-demo.phps
+     * @see self::encrypt()
+     * @see self::decrypt()
+     * @see self::setupMcrypt()
+     * @var resource
+     * @access private
+     */
+    private $ecb;
+
+    /**
+     * Optimizing value while CFB-encrypting
+     *
+     * Only relevant if $continuousBuffer enabled
+     * and $engine == self::ENGINE_MCRYPT
+     *
+     * It's faster to re-init $enmcrypt if
+     * $buffer bytes > $cfb_init_len than
+     * using the $ecb resource furthermore.
+     *
+     * This value depends of the chosen cipher
+     * and the time it would be needed for it's
+     * initialization [by mcrypt_generic_init()]
+     * which, typically, depends on the complexity
+     * on its internaly Key-expanding algorithm.
+     *
+     * @see self::encrypt()
+     * @var int
+     * @access private
+     */
+    protected $cfb_init_len = 600;
+
+    /**
+     * Does internal cipher state need to be (re)initialized?
+     *
+     * @see self::setKey()
+     * @see self::setIV()
+     * @see self::disableContinuousBuffer()
+     * @var bool
+     * @access private
+     */
+    protected $changed = true;
+
+    /**
+     * Does Eval engie need to be (re)initialized?
+     *
+     * @see self::setup()
+     * @var bool
+     * @access private
+     */
+    protected $nonIVChanged = true;
+
+    /**
+     * Padding status
+     *
+     * @see self::enablePadding()
+     * @var bool
+     * @access private
+     */
+    private $padding = true;
+
+    /**
+     * Is the mode one that is paddable?
+     *
+     * @see self::__construct()
+     * @var bool
+     * @access private
+     */
+    private $paddable = false;
+
+    /**
+     * Holds which crypt engine internaly should be use,
+     * which will be determined automatically on __construct()
+     *
+     * Currently available $engines are:
+     * - self::ENGINE_LIBSODIUM   (very fast, php-extension: libsodium, extension_loaded('libsodium') required)
+     * - self::ENGINE_OPENSSL_GCM (very fast, php-extension: openssl, extension_loaded('openssl') required)
+     * - self::ENGINE_OPENSSL     (very fast, php-extension: openssl, extension_loaded('openssl') required)
+     * - self::ENGINE_MCRYPT      (fast, php-extension: mcrypt, extension_loaded('mcrypt') required)
+     * - self::ENGINE_EVAL        (medium, pure php-engine, no php-extension required)
+     * - self::ENGINE_INTERNAL    (slower, pure php-engine, no php-extension required)
+     *
+     * @see self::setEngine()
+     * @see self::encrypt()
+     * @see self::decrypt()
+     * @var int
+     * @access private
+     */
+    protected $engine;
+
+    /**
+     * Holds the preferred crypt engine
+     *
+     * @see self::setEngine()
+     * @see self::setPreferredEngine()
+     * @var int
+     * @access private
+     */
+    private $preferredEngine;
+
+    /**
+     * The mcrypt specific name of the cipher
+     *
+     * Only used if $engine == self::ENGINE_MCRYPT
+     *
+     * @link http://www.php.net/mcrypt_module_open
+     * @link http://www.php.net/mcrypt_list_algorithms
+     * @see self::setupMcrypt()
+     * @var string
+     * @access private
+     */
+    protected $cipher_name_mcrypt;
+
+    /**
+     * The openssl specific name of the cipher
+     *
+     * Only used if $engine == self::ENGINE_OPENSSL
+     *
+     * @link http://www.php.net/openssl-get-cipher-methods
+     * @var string
+     * @access private
+     */
+    protected $cipher_name_openssl;
+
+    /**
+     * The openssl specific name of the cipher in ECB mode
+     *
+     * If OpenSSL does not support the mode we're trying to use (CTR)
+     * it can still be emulated with ECB mode.
+     *
+     * @link http://www.php.net/openssl-get-cipher-methods
+     * @var string
+     * @access private
+     */
+    protected static $cipher_name_openssl_ecb;
+
+    /**
+     * The default salt used by setPassword()
+     *
+     * @see self::setPassword()
+     * @var string
+     * @access private
+     */
+    private $password_default_salt = 'phpseclib/salt';
+
+    /**
+     * The name of the performance-optimized callback function
+     *
+     * Used by encrypt() / decrypt()
+     * only if $engine == self::ENGINE_INTERNAL
+     *
+     * @see self::encrypt()
+     * @see self::decrypt()
+     * @see self::setupInlineCrypt()
+     * @var Callback
+     * @access private
+     */
+    protected $inline_crypt;
+
+    /**
+     * If OpenSSL can be used in ECB but not in CTR we can emulate CTR
+     *
+     * @see self::openssl_ctr_process()
+     * @var bool
+     * @access private
+     */
+    private $openssl_emulate_ctr = false;
+
+    /**
+     * Don't truncate / null pad key
+     *
+     * @see self::clearBuffers()
+     * @var bool
+     * @access private
+     */
+    private $skip_key_adjustment = false;
+
+    /**
+     * Has the key length explicitly been set or should it be derived from the key, itself?
+     *
+     * @see self::setKeyLength()
+     * @var bool
+     * @access private
+     */
+    protected $explicit_key_length = false;
+
+    /**
+     * Hash subkey for GHASH
+     *
+     * @see self::setupGCM()
+     * @see self::ghash()
+     * @var BinaryField\Integer
+     * @access private
+     */
+    private $h;
+
+    /**
+     * Additional authenticated data
+     *
+     * @var string
+     * @access private
+     */
+    protected $aad = '';
+
+    /**
+     * Authentication Tag produced after a round of encryption
+     *
+     * @var string
+     * @access private
+     */
+    protected $newtag = false;
+
+    /**
+     * Authentication Tag to be verified during decryption
+     *
+     * @var string
+     * @access private
+     */
+    protected $oldtag = false;
+
+    /**
+     * GCM Binary Field
+     *
+     * @see self::__construct()
+     * @see self::ghash()
+     * @var BinaryField
+     * @access private
+     */
+    private static $gcmField;
+
+    /**
+     * Poly1305 Prime Field
+     *
+     * @see self::enablePoly1305()
+     * @see self::poly1305()
+     * @var PrimeField
+     * @access private
+     */
+    private static $poly1305Field;
+
+    /**
+     * Poly1305 Key
+     *
+     * @see self::setPoly1305Key()
+     * @see self::poly1305()
+     * @var string
+     * @access private
+     */
+    protected $poly1305Key;
+
+    /**
+     * Poly1305 Flag
+     *
+     * @see self::setPoly1305Key()
+     * @see self::enablePoly1305()
+     * @var boolean
+     * @access private
+     */
+    protected $usePoly1305 = false;
+
+    /**
+     * The Original Initialization Vector
+     *
+     * GCM uses the nonce to build the IV but we want to be able to distinguish between nonce-derived
+     * IV's and user-set IV's
+     *
+     * @see self::setIV()
+     * @var string
+     * @access private
+     */
+    private $origIV = false;
+
+    /**
+     * Nonce
+     *
+     * Only used with GCM. We could re-use setIV() but nonce's can be of a different length and
+     * toggling between GCM and other modes could be more complicated if we re-used setIV()
+     *
+     * @see self::setNonce()
+     * @var string
+     * @access private
+     */
+    protected $nonce = false;
+
+    /**
+     * Default Constructor.
+     *
+     * $mode could be:
+     *
+     * - ecb
+     *
+     * - cbc
+     *
+     * - ctr
+     *
+     * - cfb
+     *
+     * - cfb8
+     *
+     * - ofb
+     *
+     * - gcm
+     *
+     * @param string $mode
+     * @access public
+     * @throws BadModeException if an invalid / unsupported mode is provided
+     */
+    public function __construct($mode)
+    {
+        $mode = strtolower($mode);
+        // necessary because of 5.6 compatibility; we can't do isset(self::MODE_MAP[$mode]) in 5.6
+        $map = self::MODE_MAP;
+        if (!isset($map[$mode])) {
+            throw new BadModeException('No valid mode has been specified');
+        }
+
+        $mode = self::MODE_MAP[$mode];
+
+        // $mode dependent settings
+        switch ($mode) {
+            case self::MODE_ECB:
+            case self::MODE_CBC:
+                $this->paddable = true;
+                break;
+            case self::MODE_CTR:
+            case self::MODE_CFB:
+            case self::MODE_CFB8:
+            case self::MODE_OFB:
+            case self::MODE_STREAM:
+                $this->paddable = false;
+                break;
+            case self::MODE_GCM:
+                if ($this->block_size != 16) {
+                    throw new BadModeException('GCM is only valid for block ciphers with a block size of 128 bits');
+                }
+                if (!isset(self::$gcmField)) {
+                    self::$gcmField = new BinaryField(128, 7, 2, 1, 0);
+                }
+                $this->paddable = false;
+                break;
+            default:
+                throw new BadModeException('No valid mode has been specified');
+        }
+
+        $this->mode = $mode;
+    }
+
+    /**
+     * Sets the initialization vector.
+     *
+     * setIV() is not required when ecb or gcm modes are being used.
+     *
+     * {@internal Can be overwritten by a sub class, but does not have to be}
+     *
+     * @access public
+     * @param string $iv
+     * @throws \LengthException if the IV length isn't equal to the block size
+     * @throws \BadMethodCallException if an IV is provided when one shouldn't be
+     */
+    public function setIV($iv)
+    {
+        if ($this->mode == self::MODE_ECB) {
+            throw new \BadMethodCallException('This mode does not require an IV.');
+        }
+
+        if ($this->mode == self::MODE_GCM) {
+            throw new \BadMethodCallException('Use setNonce instead');
+        }
+
+        if (!$this->usesIV()) {
+            throw new \BadMethodCallException('This algorithm does not use an IV.');
+        }
+
+        if (strlen($iv) != $this->block_size) {
+            throw new \LengthException('Received initialization vector of size ' . strlen($iv) . ', but size ' . $this->block_size . ' is required');
+        }
+
+        $this->iv = $this->origIV = $iv;
+        $this->changed = true;
+    }
+
+    /**
+     * Enables Poly1305 mode.
+     *
+     * Once enabled Poly1305 cannot be disabled.
+     *
+     * @access public
+     * @throws \BadMethodCallException if Poly1305 is enabled whilst in GCM mode
+     */
+    public function enablePoly1305()
+    {
+        if ($this->mode == self::MODE_GCM) {
+            throw new \BadMethodCallException('Poly1305 cannot be used in GCM mode');
+        }
+
+        $this->usePoly1305 = true;
+    }
+
+    /**
+     * Enables Poly1305 mode.
+     *
+     * Once enabled Poly1305 cannot be disabled. If $key is not passed then an attempt to call createPoly1305Key
+     * will be made.
+     *
+     * @access public
+     * @param string $key optional
+     * @throws \LengthException if the key isn't long enough
+     * @throws \BadMethodCallException if Poly1305 is enabled whilst in GCM mode
+     */
+    public function setPoly1305Key($key = null)
+    {
+        if ($this->mode == self::MODE_GCM) {
+            throw new \BadMethodCallException('Poly1305 cannot be used in GCM mode');
+        }
+
+        if (!is_string($key) || strlen($key) != 32) {
+            throw new \LengthException('The Poly1305 key must be 32 bytes long (256 bits)');
+        }
+
+        if (!isset(self::$poly1305Field)) {
+            // 2^130-5
+            self::$poly1305Field = new PrimeField(new BigInteger('3fffffffffffffffffffffffffffffffb', 16));
+        }
+
+        $this->poly1305Key = $key;
+        $this->usePoly1305 = true;
+    }
+
+    /**
+     * Sets the nonce.
+     *
+     * setNonce() is only required when gcm is used
+     *
+     * @access public
+     * @param string $nonce
+     * @throws \BadMethodCallException if an nonce is provided when one shouldn't be
+     */
+    public function setNonce($nonce)
+    {
+        if ($this->mode != self::MODE_GCM) {
+            throw new \BadMethodCallException('Nonces are only used in GCM mode.');
+        }
+
+        $this->nonce = $nonce;
+        $this->setEngine();
+    }
+
+    /**
+     * Sets additional authenticated data
+     *
+     * setAAD() is only used by gcm or in poly1305 mode
+     *
+     * @access public
+     * @param string $aad
+     * @throws \BadMethodCallException if mode isn't GCM or if poly1305 isn't being utilized
+     */
+    public function setAAD($aad)
+    {
+        if ($this->mode != self::MODE_GCM && !$this->usePoly1305) {
+            throw new \BadMethodCallException('Additional authenticated data is only utilized in GCM mode or with Poly1305');
+        }
+
+        $this->aad = $aad;
+    }
+
+    /**
+     * Returns whether or not the algorithm uses an IV
+     *
+     * @access public
+     * @return bool
+     */
+    public function usesIV()
+    {
+        return $this->mode != self::MODE_GCM && $this->mode != self::MODE_ECB;
+    }
+
+    /**
+     * Returns whether or not the algorithm uses a nonce
+     *
+     * @access public
+     * @return bool
+     */
+    public function usesNonce()
+    {
+        return $this->mode == self::MODE_GCM;
+    }
+
+    /**
+     * Returns the current key length in bits
+     *
+     * @access public
+     * @return int
+     */
+    public function getKeyLength()
+    {
+        return $this->key_length << 3;
+    }
+
+    /**
+     * Returns the current block length in bits
+     *
+     * @access public
+     * @return int
+     */
+    public function getBlockLength()
+    {
+        return $this->block_size << 3;
+    }
+
+    /**
+     * Returns the current block length in bytes
+     *
+     * @access public
+     * @return int
+     */
+    public function getBlockLengthInBytes()
+    {
+        return $this->block_size;
+    }
+
+    /**
+     * Sets the key length.
+     *
+     * Keys with explicitly set lengths need to be treated accordingly
+     *
+     * @access public
+     * @param int $length
+     */
+    public function setKeyLength($length)
+    {
+        $this->explicit_key_length = $length >> 3;
+
+        if (is_string($this->key) && strlen($this->key) != $this->explicit_key_length) {
+            $this->key = false;
+            throw new InconsistentSetupException('Key has already been set and is not ' .$this->explicit_key_length . ' bytes long');
+        }
+    }
+
+    /**
+     * Sets the key.
+     *
+     * The min/max length(s) of the key depends on the cipher which is used.
+     * If the key not fits the length(s) of the cipher it will paded with null bytes
+     * up to the closest valid key length.  If the key is more than max length,
+     * we trim the excess bits.
+     *
+     * If the key is not explicitly set, it'll be assumed to be all null bytes.
+     *
+     * {@internal Could, but not must, extend by the child Crypt_* class}
+     *
+     * @access public
+     * @param string $key
+     */
+    public function setKey($key)
+    {
+        if ($this->explicit_key_length !== false && strlen($key) != $this->explicit_key_length) {
+            throw new InconsistentSetupException('Key length has already been set to ' . $this->explicit_key_length . ' bytes and this key is ' . strlen($key) . ' bytes');
+        }
+
+        $this->key = $key;
+        $this->key_length = strlen($key);
+        $this->setEngine();
+    }
+
+    /**
+     * Sets the password.
+     *
+     * Depending on what $method is set to, setPassword()'s (optional) parameters are as follows:
+     *     {@link http://en.wikipedia.org/wiki/PBKDF2 pbkdf2} or pbkdf1:
+     *         $hash, $salt, $count, $dkLen
+     *
+     *         Where $hash (default = sha1) currently supports the following hashes: see: Crypt/Hash.php
+     *
+     * {@internal Could, but not must, extend by the child Crypt_* class}
+     *
+     * @see Crypt/Hash.php
+     * @param string $password
+     * @param string $method
+     * @param string[] ...$func_args
+     * @throws \LengthException if pbkdf1 is being used and the derived key length exceeds the hash length
+     * @return bool
+     * @access public
+     */
+    public function setPassword($password, $method = 'pbkdf2', ...$func_args)
+    {
+        $key = '';
+
+        $method = strtolower($method);
+        switch ($method) {
+            case 'pkcs12': // from https://tools.ietf.org/html/rfc7292#appendix-B.2
+            case 'pbkdf1':
+            case 'pbkdf2':
+                // Hash function
+                $hash = isset($func_args[0]) ? strtolower($func_args[0]) : 'sha1';
+                $hashObj = new Hash();
+                $hashObj->setHash($hash);
+
+                // WPA and WPA2 use the SSID as the salt
+                $salt = isset($func_args[1]) ? $func_args[1] : $this->password_default_salt;
+
+                // RFC2898#section-4.2 uses 1,000 iterations by default
+                // WPA and WPA2 use 4,096.
+                $count = isset($func_args[2]) ? $func_args[2] : 1000;
+
+                // Keylength
+                if (isset($func_args[3])) {
+                    if ($func_args[3] <= 0) {
+                        throw new \LengthException('Derived key length cannot be longer 0 or less');
+                    }
+                    $dkLen = $func_args[3];
+                } else {
+                    $key_length = $this->explicit_key_length !== false ? $this->explicit_key_length : $this->key_length;
+                    $dkLen = $method == 'pbkdf1' ? 2 * $key_length : $key_length;
+                }
+
+                switch (true) {
+                    case $method == 'pkcs12':
+                        /*
+                         In this specification, however, all passwords are created from
+                         BMPStrings with a NULL terminator.  This means that each character in
+                         the original BMPString is encoded in 2 bytes in big-endian format
+                         (most-significant byte first).  There are no Unicode byte order
+                         marks.  The 2 bytes produced from the last character in the BMPString
+                         are followed by 2 additional bytes with the value 0x00.
+
+                         -- https://tools.ietf.org/html/rfc7292#appendix-B.1
+                         */
+                        $password = "\0". chunk_split($password, 1, "\0") . "\0";
+
+                        /*
+                         This standard specifies 3 different values for the ID byte mentioned
+                         above:
+
+                         1.  If ID=1, then the pseudorandom bits being produced are to be used
+                             as key material for performing encryption or decryption.
+
+                         2.  If ID=2, then the pseudorandom bits being produced are to be used
+                             as an IV (Initial Value) for encryption or decryption.
+
+                         3.  If ID=3, then the pseudorandom bits being produced are to be used
+                             as an integrity key for MACing.
+                         */
+                        // Construct a string, D (the "diversifier"), by concatenating v/8
+                        // copies of ID.
+                        $blockLength = $hashObj->getBlockLengthInBytes();
+                        $d1 = str_repeat(chr(1), $blockLength);
+                        $d2 = str_repeat(chr(2), $blockLength);
+                        $s = '';
+                        if (strlen($salt)) {
+                            while (strlen($s) < $blockLength) {
+                                $s.= $salt;
+                            }
+                        }
+                        $s = substr($s, 0, $blockLength);
+
+                        $p = '';
+                        if (strlen($password)) {
+                            while (strlen($p) < $blockLength) {
+                                $p.= $password;
+                            }
+                        }
+                        $p = substr($p, 0, $blockLength);
+
+                        $i = $s . $p;
+
+                        $this->setKey(self::pkcs12helper($dkLen, $hashObj, $i, $d1, $count));
+                        if ($this->usesIV()) {
+                            $this->setIV(self::pkcs12helper($this->block_size, $hashObj, $i, $d2, $count));
+                        }
+
+                        return true;
+                    case $method == 'pbkdf1':
+                        if ($dkLen > $hashObj->getLengthInBytes()) {
+                            throw new \LengthException('Derived key length cannot be longer than the hash length');
+                        }
+                        $t = $password . $salt;
+                        for ($i = 0; $i < $count; ++$i) {
+                            $t = $hashObj->hash($t);
+                        }
+                        $key = substr($t, 0, $dkLen);
+
+                        $this->setKey(substr($key, 0, $dkLen >> 1));
+                        if ($this->usesIV()) {
+                            $this->setIV(substr($key, $dkLen >> 1));
+                        }
+
+                        return true;
+                    case !in_array($hash, hash_algos()):
+                        $i = 1;
+                        $hashObj->setKey($password);
+                        while (strlen($key) < $dkLen) {
+                            $f = $u = $hashObj->hash($salt . pack('N', $i++));
+                            for ($j = 2; $j <= $count; ++$j) {
+                                $u = $hashObj->hash($u);
+                                $f^= $u;
+                            }
+                            $key.= $f;
+                        }
+                        $key = substr($key, 0, $dkLen);
+                        break;
+                    default:
+                        $key = hash_pbkdf2($hash, $password, $salt, $count, $dkLen, true);
+                }
+                break;
+            default:
+                throw new UnsupportedAlgorithmException($method . ' is not a supported password hashing method');
+        }
+
+        $this->setKey($key);
+
+        return true;
+    }
+
+    /**
+     * PKCS#12 KDF Helper Function
+     *
+     * As discussed here:
+     *
+     * {@link https://tools.ietf.org/html/rfc7292#appendix-B}
+     *
+     * @see self::setPassword()
+     * @access private
+     * @param int $n
+     * @param \phpseclib3\Crypt\Hash $hashObj
+     * @param string $i
+     * @param string $d
+     * @param int $count
+     * @return string $a
+     */
+    private static function pkcs12helper($n, $hashObj, $i, $d, $count)
+    {
+        static $one;
+        if (!isset($one)) {
+            $one = new BigInteger(1);
+        }
+
+        $blockLength = $hashObj->getBlockLength() >> 3;
+
+        $c = ceil($n / $hashObj->getLengthInBytes());
+        $a = '';
+        for ($j = 1; $j <= $c; $j++) {
+            $ai = $d . $i;
+            for ($k = 0; $k < $count; $k++) {
+                $ai = $hashObj->hash($ai);
+            }
+            $b = '';
+            while (strlen($b) < $blockLength) {
+                $b.= $ai;
+            }
+            $b = substr($b, 0, $blockLength);
+            $b = new BigInteger($b, 256);
+            $newi = '';
+            for ($k = 0; $k < strlen($i); $k+= $blockLength) {
+                $temp = substr($i, $k, $blockLength);
+                $temp = new BigInteger($temp, 256);
+                $temp->setPrecision($blockLength << 3);
+                $temp = $temp->add($b);
+                $temp = $temp->add($one);
+                $newi.= $temp->toBytes(false);
+            }
+            $i = $newi;
+            $a.= $ai;
+        }
+
+        return substr($a, 0, $n);
+    }
+
+    /**
+     * Encrypts a message.
+     *
+     * $plaintext will be padded with additional bytes such that it's length is a multiple of the block size. Other cipher
+     * implementations may or may not pad in the same manner.  Other common approaches to padding and the reasons why it's
+     * necessary are discussed in the following
+     * URL:
+     *
+     * {@link http://www.di-mgt.com.au/cryptopad.html http://www.di-mgt.com.au/cryptopad.html}
+     *
+     * An alternative to padding is to, separately, send the length of the file.  This is what SSH, in fact, does.
+     * strlen($plaintext) will still need to be a multiple of the block size, however, arbitrary values can be added to make it that
+     * length.
+     *
+     * {@internal Could, but not must, extend by the child Crypt_* class}
+     *
+     * @see self::decrypt()
+     * @access public
+     * @param string $plaintext
+     * @return string $ciphertext
+     */
+    public function encrypt($plaintext)
+    {
+        if ($this->paddable) {
+            $plaintext = $this->pad($plaintext);
+        }
+
+        $this->setup();
+
+        if ($this->mode == self::MODE_GCM) {
+            $oldIV = $this->iv;
+            Strings::increment_str($this->iv);
+            $cipher = new static('ctr');
+            $cipher->setKey($this->key);
+            $cipher->setIV($this->iv);
+            $ciphertext = $cipher->encrypt($plaintext);
+
+            $s = $this->ghash(
+                self::nullPad128($this->aad) .
+                self::nullPad128($ciphertext) .
+                self::len64($this->aad) .
+                self::len64($ciphertext)
+            );
+            $cipher->encryptIV = $this->iv = $this->encryptIV = $this->decryptIV = $oldIV;
+            $this->newtag = $cipher->encrypt($s);
+            return $ciphertext;
+        }
+
+        if (isset($this->poly1305Key)) {
+            $cipher = clone $this;
+            unset($cipher->poly1305Key);
+            $this->usePoly1305 = false;
+            $ciphertext = $cipher->encrypt($plaintext);
+            $this->newtag = $this->poly1305($ciphertext);
+            return $ciphertext;
+        }
+
+        if ($this->engine === self::ENGINE_OPENSSL) {
+            switch ($this->mode) {
+                case self::MODE_STREAM:
+                    return openssl_encrypt($plaintext, $this->cipher_name_openssl, $this->key, OPENSSL_RAW_DATA | OPENSSL_ZERO_PADDING);
+                case self::MODE_ECB:
+                    return openssl_encrypt($plaintext, $this->cipher_name_openssl, $this->key, OPENSSL_RAW_DATA | OPENSSL_ZERO_PADDING);
+                case self::MODE_CBC:
+                    $result = openssl_encrypt($plaintext, $this->cipher_name_openssl, $this->key, OPENSSL_RAW_DATA | OPENSSL_ZERO_PADDING, $this->encryptIV);
+                    if ($this->continuousBuffer) {
+                        $this->encryptIV = substr($result, -$this->block_size);
+                    }
+                    return $result;
+                case self::MODE_CTR:
+                    return $this->openssl_ctr_process($plaintext, $this->encryptIV, $this->enbuffer);
+                case self::MODE_CFB:
+                    // cfb loosely routines inspired by openssl's:
+                    // {@link http://cvs.openssl.org/fileview?f=openssl/crypto/modes/cfb128.c&v=1.3.2.2.2.1}
+                    $ciphertext = '';
+                    if ($this->continuousBuffer) {
+                        $iv = &$this->encryptIV;
+                        $pos = &$this->enbuffer['pos'];
+                    } else {
+                        $iv = $this->encryptIV;
+                        $pos = 0;
+                    }
+                    $len = strlen($plaintext);
+                    $i = 0;
+                    if ($pos) {
+                        $orig_pos = $pos;
+                        $max = $this->block_size - $pos;
+                        if ($len >= $max) {
+                            $i = $max;
+                            $len-= $max;
+                            $pos = 0;
+                        } else {
+                            $i = $len;
+                            $pos+= $len;
+                            $len = 0;
+                        }
+                        // ie. $i = min($max, $len), $len-= $i, $pos+= $i, $pos%= $blocksize
+                        $ciphertext = substr($iv, $orig_pos) ^ $plaintext;
+                        $iv = substr_replace($iv, $ciphertext, $orig_pos, $i);
+                        $plaintext = substr($plaintext, $i);
+                    }
+
+                    $overflow = $len % $this->block_size;
+
+                    if ($overflow) {
+                        $ciphertext.= openssl_encrypt(substr($plaintext, 0, -$overflow) . str_repeat("\0", $this->block_size), $this->cipher_name_openssl, $this->key, OPENSSL_RAW_DATA | OPENSSL_ZERO_PADDING, $iv);
+                        $iv = Strings::pop($ciphertext, $this->block_size);
+
+                        $size = $len - $overflow;
+                        $block = $iv ^ substr($plaintext, -$overflow);
+                        $iv = substr_replace($iv, $block, 0, $overflow);
+                        $ciphertext.= $block;
+                        $pos = $overflow;
+                    } elseif ($len) {
+                        $ciphertext = openssl_encrypt($plaintext, $this->cipher_name_openssl, $this->key, OPENSSL_RAW_DATA | OPENSSL_ZERO_PADDING, $iv);
+                        $iv = substr($ciphertext, -$this->block_size);
+                    }
+
+                    return $ciphertext;
+                case self::MODE_CFB8:
+                    $ciphertext = openssl_encrypt($plaintext, $this->cipher_name_openssl, $this->key, OPENSSL_RAW_DATA | OPENSSL_ZERO_PADDING, $this->encryptIV);
+                    if ($this->continuousBuffer) {
+                        if (($len = strlen($ciphertext)) >= $this->block_size) {
+                            $this->encryptIV = substr($ciphertext, -$this->block_size);
+                        } else {
+                            $this->encryptIV = substr($this->encryptIV, $len - $this->block_size) . substr($ciphertext, -$len);
+                        }
+                    }
+                    return $ciphertext;
+                case self::MODE_OFB:
+                    return $this->openssl_ofb_process($plaintext, $this->encryptIV, $this->enbuffer);
+            }
+        }
+
+        if ($this->engine === self::ENGINE_MCRYPT) {
+            if ($this->enchanged) {
+                @mcrypt_generic_init($this->enmcrypt, $this->key, $this->getIV($this->encryptIV));
+                $this->enchanged = false;
+            }
+
+            // re: {@link http://phpseclib.sourceforge.net/cfb-demo.phps}
+            // using mcrypt's default handing of CFB the above would output two different things.  using phpseclib's
+            // rewritten CFB implementation the above outputs the same thing twice.
+            if ($this->mode == self::MODE_CFB && $this->continuousBuffer) {
+                $block_size = $this->block_size;
+                $iv = &$this->encryptIV;
+                $pos = &$this->enbuffer['pos'];
+                $len = strlen($plaintext);
+                $ciphertext = '';
+                $i = 0;
+                if ($pos) {
+                    $orig_pos = $pos;
+                    $max = $block_size - $pos;
+                    if ($len >= $max) {
+                        $i = $max;
+                        $len-= $max;
+                        $pos = 0;
+                    } else {
+                        $i = $len;
+                        $pos+= $len;
+                        $len = 0;
+                    }
+                    $ciphertext = substr($iv, $orig_pos) ^ $plaintext;
+                    $iv = substr_replace($iv, $ciphertext, $orig_pos, $i);
+                    $this->enbuffer['enmcrypt_init'] = true;
+                }
+                if ($len >= $block_size) {
+                    if ($this->enbuffer['enmcrypt_init'] === false || $len > $this->cfb_init_len) {
+                        if ($this->enbuffer['enmcrypt_init'] === true) {
+                            @mcrypt_generic_init($this->enmcrypt, $this->key, $iv);
+                            $this->enbuffer['enmcrypt_init'] = false;
+                        }
+                        $ciphertext.= @mcrypt_generic($this->enmcrypt, substr($plaintext, $i, $len - $len % $block_size));
+                        $iv = substr($ciphertext, -$block_size);
+                        $len%= $block_size;
+                    } else {
+                        while ($len >= $block_size) {
+                            $iv = @mcrypt_generic($this->ecb, $iv) ^ substr($plaintext, $i, $block_size);
+                            $ciphertext.= $iv;
+                            $len-= $block_size;
+                            $i+= $block_size;
+                        }
+                    }
+                }
+
+                if ($len) {
+                    $iv = @mcrypt_generic($this->ecb, $iv);
+                    $block = $iv ^ substr($plaintext, -$len);
+                    $iv = substr_replace($iv, $block, 0, $len);
+                    $ciphertext.= $block;
+                    $pos = $len;
+                }
+
+                return $ciphertext;
+            }
+
+            $ciphertext = @mcrypt_generic($this->enmcrypt, $plaintext);
+
+            if (!$this->continuousBuffer) {
+                @mcrypt_generic_init($this->enmcrypt, $this->key, $this->getIV($this->encryptIV));
+            }
+
+            return $ciphertext;
+        }
+
+        if ($this->engine === self::ENGINE_EVAL) {
+            $inline = $this->inline_crypt;
+            return $inline('encrypt', $plaintext);
+        }
+
+        $buffer = &$this->enbuffer;
+        $block_size = $this->block_size;
+        $ciphertext = '';
+        switch ($this->mode) {
+            case self::MODE_ECB:
+                for ($i = 0; $i < strlen($plaintext); $i+=$block_size) {
+                    $ciphertext.= $this->encryptBlock(substr($plaintext, $i, $block_size));
+                }
+                break;
+            case self::MODE_CBC:
+                $xor = $this->encryptIV;
+                for ($i = 0; $i < strlen($plaintext); $i+=$block_size) {
+                    $block = substr($plaintext, $i, $block_size);
+                    $block = $this->encryptBlock($block ^ $xor);
+                    $xor = $block;
+                    $ciphertext.= $block;
+                }
+                if ($this->continuousBuffer) {
+                    $this->encryptIV = $xor;
+                }
+                break;
+            case self::MODE_CTR:
+                $xor = $this->encryptIV;
+                if (strlen($buffer['ciphertext'])) {
+                    for ($i = 0; $i < strlen($plaintext); $i+=$block_size) {
+                        $block = substr($plaintext, $i, $block_size);
+                        if (strlen($block) > strlen($buffer['ciphertext'])) {
+                            $buffer['ciphertext'].= $this->encryptBlock($xor);
+                        }
+                        Strings::increment_str($xor);
+                        $key = Strings::shift($buffer['ciphertext'], $block_size);
+                        $ciphertext.= $block ^ $key;
+                    }
+                } else {
+                    for ($i = 0; $i < strlen($plaintext); $i+=$block_size) {
+                        $block = substr($plaintext, $i, $block_size);
+                        $key = $this->encryptBlock($xor);
+                        Strings::increment_str($xor);
+                        $ciphertext.= $block ^ $key;
+                    }
+                }
+                if ($this->continuousBuffer) {
+                    $this->encryptIV = $xor;
+                    if ($start = strlen($plaintext) % $block_size) {
+                        $buffer['ciphertext'] = substr($key, $start) . $buffer['ciphertext'];
+                    }
+                }
+                break;
+            case self::MODE_CFB:
+                // cfb loosely routines inspired by openssl's:
+                // {@link http://cvs.openssl.org/fileview?f=openssl/crypto/modes/cfb128.c&v=1.3.2.2.2.1}
+                if ($this->continuousBuffer) {
+                    $iv = &$this->encryptIV;
+                    $pos = &$buffer['pos'];
+                } else {
+                    $iv = $this->encryptIV;
+                    $pos = 0;
+                }
+                $len = strlen($plaintext);
+                $i = 0;
+                if ($pos) {
+                    $orig_pos = $pos;
+                    $max = $block_size - $pos;
+                    if ($len >= $max) {
+                        $i = $max;
+                        $len-= $max;
+                        $pos = 0;
+                    } else {
+                        $i = $len;
+                        $pos+= $len;
+                        $len = 0;
+                    }
+                    // ie. $i = min($max, $len), $len-= $i, $pos+= $i, $pos%= $blocksize
+                    $ciphertext = substr($iv, $orig_pos) ^ $plaintext;
+                    $iv = substr_replace($iv, $ciphertext, $orig_pos, $i);
+                }
+                while ($len >= $block_size) {
+                    $iv = $this->encryptBlock($iv) ^ substr($plaintext, $i, $block_size);
+                    $ciphertext.= $iv;
+                    $len-= $block_size;
+                    $i+= $block_size;
+                }
+                if ($len) {
+                    $iv = $this->encryptBlock($iv);
+                    $block = $iv ^ substr($plaintext, $i);
+                    $iv = substr_replace($iv, $block, 0, $len);
+                    $ciphertext.= $block;
+                    $pos = $len;
+                }
+                break;
+            case self::MODE_CFB8:
+                $ciphertext = '';
+                $len = strlen($plaintext);
+                $iv = $this->encryptIV;
+
+                for ($i = 0; $i < $len; ++$i) {
+                    $ciphertext .= ($c = $plaintext[$i] ^ $this->encryptBlock($iv));
+                    $iv = substr($iv, 1) . $c;
+                }
+
+                if ($this->continuousBuffer) {
+                    if ($len >= $block_size) {
+                        $this->encryptIV = substr($ciphertext, -$block_size);
+                    } else {
+                        $this->encryptIV = substr($this->encryptIV, $len - $block_size) . substr($ciphertext, -$len);
+                    }
+                }
+                break;
+            case self::MODE_OFB:
+                $xor = $this->encryptIV;
+                if (strlen($buffer['xor'])) {
+                    for ($i = 0; $i < strlen($plaintext); $i+=$block_size) {
+                        $block = substr($plaintext, $i, $block_size);
+                        if (strlen($block) > strlen($buffer['xor'])) {
+                            $xor = $this->encryptBlock($xor);
+                            $buffer['xor'].= $xor;
+                        }
+                        $key = Strings::shift($buffer['xor'], $block_size);
+                        $ciphertext.= $block ^ $key;
+                    }
+                } else {
+                    for ($i = 0; $i < strlen($plaintext); $i+=$block_size) {
+                        $xor = $this->encryptBlock($xor);
+                        $ciphertext.= substr($plaintext, $i, $block_size) ^ $xor;
+                    }
+                    $key = $xor;
+                }
+                if ($this->continuousBuffer) {
+                    $this->encryptIV = $xor;
+                    if ($start = strlen($plaintext) % $block_size) {
+                        $buffer['xor'] = substr($key, $start) . $buffer['xor'];
+                    }
+                }
+                break;
+            case self::MODE_STREAM:
+                $ciphertext = $this->encryptBlock($plaintext);
+                break;
+        }
+
+        return $ciphertext;
+    }
+
+    /**
+     * Decrypts a message.
+     *
+     * If strlen($ciphertext) is not a multiple of the block size, null bytes will be added to the end of the string until
+     * it is.
+     *
+     * {@internal Could, but not must, extend by the child Crypt_* class}
+     *
+     * @see self::encrypt()
+     * @access public
+     * @param string $ciphertext
+     * @return string $plaintext
+     * @throws \LengthException if we're inside a block cipher and the ciphertext length is not a multiple of the block size
+     */
+    public function decrypt($ciphertext)
+    {
+        if ($this->paddable && strlen($ciphertext) % $this->block_size) {
+            throw new \LengthException('The ciphertext length (' . strlen($ciphertext) . ') needs to be a multiple of the block size (' . $this->block_size . ')');
+        }
+
+        $this->setup();
+
+        if ($this->mode == self::MODE_GCM || isset($this->poly1305Key)) {
+            if ($this->oldtag === false) {
+                throw new InsufficientSetupException('Authentication Tag has not been set');
+            }
+
+            if (isset($this->poly1305Key)) {
+                $newtag = $this->poly1305($ciphertext);
+            } else {
+                $oldIV = $this->iv;
+                Strings::increment_str($this->iv);
+                $cipher = new static('ctr');
+                $cipher->setKey($this->key);
+                $cipher->setIV($this->iv);
+                $plaintext = $cipher->decrypt($ciphertext);
+
+                $s = $this->ghash(
+                    self::nullPad128($this->aad) .
+                    self::nullPad128($ciphertext) .
+                    self::len64($this->aad) .
+                    self::len64($ciphertext)
+                );
+                $cipher->encryptIV = $this->iv = $this->encryptIV = $this->decryptIV = $oldIV;
+                $newtag = $cipher->encrypt($s);
+            }
+            if ($this->oldtag != substr($newtag, 0, strlen($newtag))) {
+                $cipher = clone $this;
+                unset($cipher->poly1305Key);
+                $this->usePoly1305 = false;
+                $plaintext = $cipher->decrypt($ciphertext);
+                $this->oldtag = false;
+                throw new BadDecryptionException('Derived authentication tag and supplied authentication tag do not match');
+            }
+            $this->oldtag = false;
+            return $plaintext;
+        }
+
+        if ($this->engine === self::ENGINE_OPENSSL) {
+            switch ($this->mode) {
+                case self::MODE_STREAM:
+                    $plaintext = openssl_decrypt($ciphertext, $this->cipher_name_openssl, $this->key, OPENSSL_RAW_DATA | OPENSSL_ZERO_PADDING);
+                    break;
+                case self::MODE_ECB:
+                    $plaintext = openssl_decrypt($ciphertext, $this->cipher_name_openssl, $this->key, OPENSSL_RAW_DATA | OPENSSL_ZERO_PADDING);
+                    break;
+                case self::MODE_CBC:
+                    $offset = $this->block_size;
+                    $plaintext = openssl_decrypt($ciphertext, $this->cipher_name_openssl, $this->key, OPENSSL_RAW_DATA | OPENSSL_ZERO_PADDING, $this->decryptIV);
+                    if ($this->continuousBuffer) {
+                        $this->decryptIV = substr($ciphertext, -$offset, $this->block_size);
+                    }
+                    break;
+                case self::MODE_CTR:
+                    $plaintext = $this->openssl_ctr_process($ciphertext, $this->decryptIV, $this->debuffer);
+                    break;
+                case self::MODE_CFB:
+                    // cfb loosely routines inspired by openssl's:
+                    // {@link http://cvs.openssl.org/fileview?f=openssl/crypto/modes/cfb128.c&v=1.3.2.2.2.1}
+                    $plaintext = '';
+                    if ($this->continuousBuffer) {
+                        $iv = &$this->decryptIV;
+                        $pos = &$this->buffer['pos'];
+                    } else {
+                        $iv = $this->decryptIV;
+                        $pos = 0;
+                    }
+                    $len = strlen($ciphertext);
+                    $i = 0;
+                    if ($pos) {
+                        $orig_pos = $pos;
+                        $max = $this->block_size - $pos;
+                        if ($len >= $max) {
+                            $i = $max;
+                            $len-= $max;
+                            $pos = 0;
+                        } else {
+                            $i = $len;
+                            $pos+= $len;
+                            $len = 0;
+                        }
+                        // ie. $i = min($max, $len), $len-= $i, $pos+= $i, $pos%= $this->blocksize
+                        $plaintext = substr($iv, $orig_pos) ^ $ciphertext;
+                        $iv = substr_replace($iv, substr($ciphertext, 0, $i), $orig_pos, $i);
+                        $ciphertext = substr($ciphertext, $i);
+                    }
+                    $overflow = $len % $this->block_size;
+                    if ($overflow) {
+                        $plaintext.= openssl_decrypt(substr($ciphertext, 0, -$overflow), $this->cipher_name_openssl, $this->key, OPENSSL_RAW_DATA | OPENSSL_ZERO_PADDING, $iv);
+                        if ($len - $overflow) {
+                            $iv = substr($ciphertext, -$overflow - $this->block_size, -$overflow);
+                        }
+                        $iv = openssl_encrypt(str_repeat("\0", $this->block_size), $this->cipher_name_openssl, $this->key, OPENSSL_RAW_DATA | OPENSSL_ZERO_PADDING, $iv);
+                        $plaintext.= $iv ^ substr($ciphertext, -$overflow);
+                        $iv = substr_replace($iv, substr($ciphertext, -$overflow), 0, $overflow);
+                        $pos = $overflow;
+                    } elseif ($len) {
+                        $plaintext.= openssl_decrypt($ciphertext, $this->cipher_name_openssl, $this->key, OPENSSL_RAW_DATA | OPENSSL_ZERO_PADDING, $iv);
+                        $iv = substr($ciphertext, -$this->block_size);
+                    }
+                    break;
+                case self::MODE_CFB8:
+                    $plaintext = openssl_decrypt($ciphertext, $this->cipher_name_openssl, $this->key, OPENSSL_RAW_DATA | OPENSSL_ZERO_PADDING, $this->decryptIV);
+                    if ($this->continuousBuffer) {
+                        if (($len = strlen($ciphertext)) >= $this->block_size) {
+                            $this->decryptIV = substr($ciphertext, -$this->block_size);
+                        } else {
+                            $this->decryptIV = substr($this->decryptIV, $len - $this->block_size) . substr($ciphertext, -$len);
+                        }
+                    }
+                    break;
+                case self::MODE_OFB:
+                    $plaintext = $this->openssl_ofb_process($ciphertext, $this->decryptIV, $this->debuffer);
+            }
+
+            return $this->paddable ? $this->unpad($plaintext) : $plaintext;
+        }
+
+        if ($this->engine === self::ENGINE_MCRYPT) {
+            $block_size = $this->block_size;
+            if ($this->dechanged) {
+                @mcrypt_generic_init($this->demcrypt, $this->key, $this->getIV($this->decryptIV));
+                $this->dechanged = false;
+            }
+
+            if ($this->mode == self::MODE_CFB && $this->continuousBuffer) {
+                $iv = &$this->decryptIV;
+                $pos = &$this->debuffer['pos'];
+                $len = strlen($ciphertext);
+                $plaintext = '';
+                $i = 0;
+                if ($pos) {
+                    $orig_pos = $pos;
+                    $max = $block_size - $pos;
+                    if ($len >= $max) {
+                        $i = $max;
+                        $len-= $max;
+                        $pos = 0;
+                    } else {
+                        $i = $len;
+                        $pos+= $len;
+                        $len = 0;
+                    }
+                    // ie. $i = min($max, $len), $len-= $i, $pos+= $i, $pos%= $blocksize
+                    $plaintext = substr($iv, $orig_pos) ^ $ciphertext;
+                    $iv = substr_replace($iv, substr($ciphertext, 0, $i), $orig_pos, $i);
+                }
+                if ($len >= $block_size) {
+                    $cb = substr($ciphertext, $i, $len - $len % $block_size);
+                    $plaintext.= @mcrypt_generic($this->ecb, $iv . $cb) ^ $cb;
+                    $iv = substr($cb, -$block_size);
+                    $len%= $block_size;
+                }
+                if ($len) {
+                    $iv = @mcrypt_generic($this->ecb, $iv);
+                    $plaintext.= $iv ^ substr($ciphertext, -$len);
+                    $iv = substr_replace($iv, substr($ciphertext, -$len), 0, $len);
+                    $pos = $len;
+                }
+
+                return $plaintext;
+            }
+
+            $plaintext = @mdecrypt_generic($this->demcrypt, $ciphertext);
+
+            if (!$this->continuousBuffer) {
+                @mcrypt_generic_init($this->demcrypt, $this->key, $this->getIV($this->decryptIV));
+            }
+
+            return $this->paddable ? $this->unpad($plaintext) : $plaintext;
+        }
+
+        if ($this->engine === self::ENGINE_EVAL) {
+            $inline = $this->inline_crypt;
+            return $inline('decrypt', $ciphertext);
+        }
+
+        $block_size = $this->block_size;
+
+        $buffer = &$this->debuffer;
+        $plaintext = '';
+        switch ($this->mode) {
+            case self::MODE_ECB:
+                for ($i = 0; $i < strlen($ciphertext); $i+=$block_size) {
+                    $plaintext.= $this->decryptBlock(substr($ciphertext, $i, $block_size));
+                }
+                break;
+            case self::MODE_CBC:
+                $xor = $this->decryptIV;
+                for ($i = 0; $i < strlen($ciphertext); $i+=$block_size) {
+                    $block = substr($ciphertext, $i, $block_size);
+                    $plaintext.= $this->decryptBlock($block) ^ $xor;
+                    $xor = $block;
+                }
+                if ($this->continuousBuffer) {
+                    $this->decryptIV = $xor;
+                }
+                break;
+            case self::MODE_CTR:
+                $xor = $this->decryptIV;
+                if (strlen($buffer['ciphertext'])) {
+                    for ($i = 0; $i < strlen($ciphertext); $i+=$block_size) {
+                        $block = substr($ciphertext, $i, $block_size);
+                        if (strlen($block) > strlen($buffer['ciphertext'])) {
+                            $buffer['ciphertext'].= $this->encryptBlock($xor);
+                        }
+                        Strings::increment_str($xor);
+                        $key = Strings::shift($buffer['ciphertext'], $block_size);
+                        $plaintext.= $block ^ $key;
+                    }
+                } else {
+                    for ($i = 0; $i < strlen($ciphertext); $i+=$block_size) {
+                        $block = substr($ciphertext, $i, $block_size);
+                        $key = $this->encryptBlock($xor);
+                        Strings::increment_str($xor);
+                        $plaintext.= $block ^ $key;
+                    }
+                }
+                if ($this->continuousBuffer) {
+                    $this->decryptIV = $xor;
+                    if ($start = strlen($ciphertext) % $block_size) {
+                        $buffer['ciphertext'] = substr($key, $start) . $buffer['ciphertext'];
+                    }
+                }
+                break;
+            case self::MODE_CFB:
+                if ($this->continuousBuffer) {
+                    $iv = &$this->decryptIV;
+                    $pos = &$buffer['pos'];
+                } else {
+                    $iv = $this->decryptIV;
+                    $pos = 0;
+                }
+                $len = strlen($ciphertext);
+                $i = 0;
+                if ($pos) {
+                    $orig_pos = $pos;
+                    $max = $block_size - $pos;
+                    if ($len >= $max) {
+                        $i = $max;
+                        $len-= $max;
+                        $pos = 0;
+                    } else {
+                        $i = $len;
+                        $pos+= $len;
+                        $len = 0;
+                    }
+                    // ie. $i = min($max, $len), $len-= $i, $pos+= $i, $pos%= $blocksize
+                    $plaintext = substr($iv, $orig_pos) ^ $ciphertext;
+                    $iv = substr_replace($iv, substr($ciphertext, 0, $i), $orig_pos, $i);
+                }
+                while ($len >= $block_size) {
+                    $iv = $this->encryptBlock($iv);
+                    $cb = substr($ciphertext, $i, $block_size);
+                    $plaintext.= $iv ^ $cb;
+                    $iv = $cb;
+                    $len-= $block_size;
+                    $i+= $block_size;
+                }
+                if ($len) {
+                    $iv = $this->encryptBlock($iv);
+                    $plaintext.= $iv ^ substr($ciphertext, $i);
+                    $iv = substr_replace($iv, substr($ciphertext, $i), 0, $len);
+                    $pos = $len;
+                }
+                break;
+            case self::MODE_CFB8:
+                $plaintext = '';
+                $len = strlen($ciphertext);
+                $iv = $this->decryptIV;
+
+                for ($i = 0; $i < $len; ++$i) {
+                    $plaintext .= $ciphertext[$i] ^ $this->encryptBlock($iv);
+                    $iv = substr($iv, 1) . $ciphertext[$i];
+                }
+
+                if ($this->continuousBuffer) {
+                    if ($len >= $block_size) {
+                        $this->decryptIV = substr($ciphertext, -$block_size);
+                    } else {
+                        $this->decryptIV = substr($this->decryptIV, $len - $block_size) . substr($ciphertext, -$len);
+                    }
+                }
+                break;
+            case self::MODE_OFB:
+                $xor = $this->decryptIV;
+                if (strlen($buffer['xor'])) {
+                    for ($i = 0; $i < strlen($ciphertext); $i+=$block_size) {
+                        $block = substr($ciphertext, $i, $block_size);
+                        if (strlen($block) > strlen($buffer['xor'])) {
+                            $xor = $this->encryptBlock($xor);
+                            $buffer['xor'].= $xor;
+                        }
+                        $key = Strings::shift($buffer['xor'], $block_size);
+                        $plaintext.= $block ^ $key;
+                    }
+                } else {
+                    for ($i = 0; $i < strlen($ciphertext); $i+=$block_size) {
+                        $xor = $this->encryptBlock($xor);
+                        $plaintext.= substr($ciphertext, $i, $block_size) ^ $xor;
+                    }
+                    $key = $xor;
+                }
+                if ($this->continuousBuffer) {
+                    $this->decryptIV = $xor;
+                    if ($start = strlen($ciphertext) % $block_size) {
+                        $buffer['xor'] = substr($key, $start) . $buffer['xor'];
+                    }
+                }
+                break;
+            case self::MODE_STREAM:
+                $plaintext = $this->decryptBlock($ciphertext);
+                break;
+        }
+        return $this->paddable ? $this->unpad($plaintext) : $plaintext;
+    }
+
+    /**
+     * Get the authentication tag
+     *
+     * Only used in GCM or Poly1305 mode
+     *
+     * @see self::encrypt()
+     * @param int $length optional
+     * @return string
+     * @access public
+     * @throws \LengthException if $length isn't of a sufficient length
+     * @throws \RuntimeException if GCM mode isn't being used
+     */
+    public function getTag($length = 16)
+    {
+        if ($this->mode != self::MODE_GCM && !$this->usePoly1305) {
+            throw new \BadMethodCallException('Authentication tags are only utilized in GCM mode or with Poly1305');
+        }
+
+        if ($this->newtag === false) {
+            throw new \BadMethodCallException('A tag can only be returned after a round of encryption has been performed');
+        }
+
+        // the tag is 128-bits. it can't be greater than 16 bytes because that's bigger than the tag is. if it
+        // were 0 you might as well be doing CTR and less than 4 provides minimal security that could be trivially
+        // easily brute forced.
+        // see https://nvlpubs.nist.gov/nistpubs/Legacy/SP/nistspecialpublication800-38d.pdf#page=36
+        // for more info
+        if ($length < 4 || $length > 16) {
+            throw new \LengthException('The authentication tag must be between 4 and 16 bytes long');
+        }
+
+        return $length == 16 ?
+            $this->newtag :
+            substr($this->newtag, 0, $length);
+    }
+
+    /**
+     * Sets the authentication tag
+     *
+     * Only used in GCM mode
+     *
+     * @see self::decrypt()
+     * @param string $tag
+     * @access public
+     * @throws \LengthException if $length isn't of a sufficient length
+     * @throws \RuntimeException if GCM mode isn't being used
+     */
+    public function setTag($tag)
+    {
+        if ($this->usePoly1305 && !isset($this->poly1305Key) && method_exists($this, 'createPoly1305Key')) {
+            $this->createPoly1305Key();
+        }
+
+        if ($this->mode != self::MODE_GCM && !$this->usePoly1305) {
+            throw new \BadMethodCallException('Authentication tags are only utilized in GCM mode or with Poly1305');
+        }
+
+        $length = strlen($tag);
+        if ($length < 4 || $length > 16) {
+            throw new \LengthException('The authentication tag must be between 4 and 16 bytes long');
+        }
+        $this->oldtag = $tag;
+    }
+
+    /**
+     * Get the IV
+     *
+     * mcrypt requires an IV even if ECB is used
+     *
+     * @see self::encrypt()
+     * @see self::decrypt()
+     * @param string $iv
+     * @return string
+     * @access private
+     */
+    protected function getIV($iv)
+    {
+        return $this->mode == self::MODE_ECB ? str_repeat("\0", $this->block_size) : $iv;
+    }
+
+    /**
+     * OpenSSL CTR Processor
+     *
+     * PHP's OpenSSL bindings do not operate in continuous mode so we'll wrap around it. Since the keystream
+     * for CTR is the same for both encrypting and decrypting this function is re-used by both SymmetricKey::encrypt()
+     * and SymmetricKey::decrypt(). Also, OpenSSL doesn't implement CTR for all of it's symmetric ciphers so this
+     * function will emulate CTR with ECB when necessary.
+     *
+     * @see self::encrypt()
+     * @see self::decrypt()
+     * @param string $plaintext
+     * @param string $encryptIV
+     * @param array $buffer
+     * @return string
+     * @access private
+     */
+    private function openssl_ctr_process($plaintext, &$encryptIV, &$buffer)
+    {
+        $ciphertext = '';
+
+        $block_size = $this->block_size;
+        $key = $this->key;
+
+        if ($this->openssl_emulate_ctr) {
+            $xor = $encryptIV;
+            if (strlen($buffer['ciphertext'])) {
+                for ($i = 0; $i < strlen($plaintext); $i+=$block_size) {
+                    $block = substr($plaintext, $i, $block_size);
+                    if (strlen($block) > strlen($buffer['ciphertext'])) {
+                        $buffer['ciphertext'].= openssl_encrypt($xor, static::$cipher_name_openssl_ecb, $key, OPENSSL_RAW_DATA | OPENSSL_ZERO_PADDING);
+                    }
+                    Strings::increment_str($xor);
+                    $otp = Strings::shift($buffer['ciphertext'], $block_size);
+                    $ciphertext.= $block ^ $otp;
+                }
+            } else {
+                for ($i = 0; $i < strlen($plaintext); $i+=$block_size) {
+                    $block = substr($plaintext, $i, $block_size);
+                    $otp = openssl_encrypt($xor, static::$cipher_name_openssl_ecb, $key, OPENSSL_RAW_DATA | OPENSSL_ZERO_PADDING);
+                    Strings::increment_str($xor);
+                    $ciphertext.= $block ^ $otp;
+                }
+            }
+            if ($this->continuousBuffer) {
+                $encryptIV = $xor;
+                if ($start = strlen($plaintext) % $block_size) {
+                    $buffer['ciphertext'] = substr($key, $start) . $buffer['ciphertext'];
+                }
+            }
+
+            return $ciphertext;
+        }
+
+        if (strlen($buffer['ciphertext'])) {
+            $ciphertext = $plaintext ^ Strings::shift($buffer['ciphertext'], strlen($plaintext));
+            $plaintext = substr($plaintext, strlen($ciphertext));
+
+            if (!strlen($plaintext)) {
+                return $ciphertext;
+            }
+        }
+
+        $overflow = strlen($plaintext) % $block_size;
+        if ($overflow) {
+            $plaintext2 = Strings::pop($plaintext, $overflow); // ie. trim $plaintext to a multiple of $block_size and put rest of $plaintext in $plaintext2
+            $encrypted = openssl_encrypt($plaintext . str_repeat("\0", $block_size), $this->cipher_name_openssl, $key, OPENSSL_RAW_DATA | OPENSSL_ZERO_PADDING, $encryptIV);
+            $temp = Strings::pop($encrypted, $block_size);
+            $ciphertext.= $encrypted . ($plaintext2 ^ $temp);
+            if ($this->continuousBuffer) {
+                $buffer['ciphertext'] = substr($temp, $overflow);
+                $encryptIV = $temp;
+            }
+        } elseif (!strlen($buffer['ciphertext'])) {
+            $ciphertext.= openssl_encrypt($plaintext . str_repeat("\0", $block_size), $this->cipher_name_openssl, $key, OPENSSL_RAW_DATA | OPENSSL_ZERO_PADDING, $encryptIV);
+            $temp = Strings::pop($ciphertext, $block_size);
+            if ($this->continuousBuffer) {
+                $encryptIV = $temp;
+            }
+        }
+        if ($this->continuousBuffer) {
+            $encryptIV = openssl_decrypt($encryptIV, static::$cipher_name_openssl_ecb, $key, OPENSSL_RAW_DATA | OPENSSL_ZERO_PADDING);
+            if ($overflow) {
+                Strings::increment_str($encryptIV);
+            }
+        }
+
+        return $ciphertext;
+    }
+
+    /**
+     * OpenSSL OFB Processor
+     *
+     * PHP's OpenSSL bindings do not operate in continuous mode so we'll wrap around it. Since the keystream
+     * for OFB is the same for both encrypting and decrypting this function is re-used by both SymmetricKey::encrypt()
+     * and SymmetricKey::decrypt().
+     *
+     * @see self::encrypt()
+     * @see self::decrypt()
+     * @param string $plaintext
+     * @param string $encryptIV
+     * @param array $buffer
+     * @return string
+     * @access private
+     */
+    private function openssl_ofb_process($plaintext, &$encryptIV, &$buffer)
+    {
+        if (strlen($buffer['xor'])) {
+            $ciphertext = $plaintext ^ $buffer['xor'];
+            $buffer['xor'] = substr($buffer['xor'], strlen($ciphertext));
+            $plaintext = substr($plaintext, strlen($ciphertext));
+        } else {
+            $ciphertext = '';
+        }
+
+        $block_size = $this->block_size;
+
+        $len = strlen($plaintext);
+        $key = $this->key;
+        $overflow = $len % $block_size;
+
+        if (strlen($plaintext)) {
+            if ($overflow) {
+                $ciphertext.= openssl_encrypt(substr($plaintext, 0, -$overflow) . str_repeat("\0", $block_size), $this->cipher_name_openssl, $key, OPENSSL_RAW_DATA | OPENSSL_ZERO_PADDING, $encryptIV);
+                $xor = Strings::pop($ciphertext, $block_size);
+                if ($this->continuousBuffer) {
+                    $encryptIV = $xor;
+                }
+                $ciphertext.= Strings::shift($xor, $overflow) ^ substr($plaintext, -$overflow);
+                if ($this->continuousBuffer) {
+                    $buffer['xor'] = $xor;
+                }
+            } else {
+                $ciphertext = openssl_encrypt($plaintext, $this->cipher_name_openssl, $key, OPENSSL_RAW_DATA | OPENSSL_ZERO_PADDING, $encryptIV);
+                if ($this->continuousBuffer) {
+                    $encryptIV = substr($ciphertext, -$block_size) ^ substr($plaintext, -$block_size);
+                }
+            }
+        }
+
+        return $ciphertext;
+    }
+
+    /**
+     * phpseclib <-> OpenSSL Mode Mapper
+     *
+     * May need to be overwritten by classes extending this one in some cases
+     *
+     * @return string
+     * @access private
+     */
+    protected function openssl_translate_mode()
+    {
+        switch ($this->mode) {
+            case self::MODE_ECB:
+                return 'ecb';
+            case self::MODE_CBC:
+                return 'cbc';
+            case self::MODE_CTR:
+            case self::MODE_GCM:
+                return 'ctr';
+            case self::MODE_CFB:
+                return 'cfb';
+            case self::MODE_CFB8:
+                return 'cfb8';
+            case self::MODE_OFB:
+                return 'ofb';
+        }
+    }
+
+    /**
+     * Pad "packets".
+     *
+     * Block ciphers working by encrypting between their specified [$this->]block_size at a time
+     * If you ever need to encrypt or decrypt something that isn't of the proper length, it becomes necessary to
+     * pad the input so that it is of the proper length.
+     *
+     * Padding is enabled by default.  Sometimes, however, it is undesirable to pad strings.  Such is the case in SSH,
+     * where "packets" are padded with random bytes before being encrypted.  Unpad these packets and you risk stripping
+     * away characters that shouldn't be stripped away. (SSH knows how many bytes are added because the length is
+     * transmitted separately)
+     *
+     * @see self::disablePadding()
+     * @access public
+     */
+    public function enablePadding()
+    {
+        $this->padding = true;
+    }
+
+    /**
+     * Do not pad packets.
+     *
+     * @see self::enablePadding()
+     * @access public
+     */
+    public function disablePadding()
+    {
+        $this->padding = false;
+    }
+
+    /**
+     * Treat consecutive "packets" as if they are a continuous buffer.
+     *
+     * Say you have a 32-byte plaintext $plaintext.  Using the default behavior, the two following code snippets
+     * will yield different outputs:
+     *
+     * <code>
+     *    echo $rijndael->encrypt(substr($plaintext,  0, 16));
+     *    echo $rijndael->encrypt(substr($plaintext, 16, 16));
+     * </code>
+     * <code>
+     *    echo $rijndael->encrypt($plaintext);
+     * </code>
+     *
+     * The solution is to enable the continuous buffer.  Although this will resolve the above discrepancy, it creates
+     * another, as demonstrated with the following:
+     *
+     * <code>
+     *    $rijndael->encrypt(substr($plaintext, 0, 16));
+     *    echo $rijndael->decrypt($rijndael->encrypt(substr($plaintext, 16, 16)));
+     * </code>
+     * <code>
+     *    echo $rijndael->decrypt($rijndael->encrypt(substr($plaintext, 16, 16)));
+     * </code>
+     *
+     * With the continuous buffer disabled, these would yield the same output.  With it enabled, they yield different
+     * outputs.  The reason is due to the fact that the initialization vector's change after every encryption /
+     * decryption round when the continuous buffer is enabled.  When it's disabled, they remain constant.
+     *
+     * Put another way, when the continuous buffer is enabled, the state of the \phpseclib3\Crypt\*() object changes after each
+     * encryption / decryption round, whereas otherwise, it'd remain constant.  For this reason, it's recommended that
+     * continuous buffers not be used.  They do offer better security and are, in fact, sometimes required (SSH uses them),
+     * however, they are also less intuitive and more likely to cause you problems.
+     *
+     * {@internal Could, but not must, extend by the child Crypt_* class}
+     *
+     * @see self::disableContinuousBuffer()
+     * @access public
+     */
+    public function enableContinuousBuffer()
+    {
+        if ($this->mode == self::MODE_ECB) {
+            return;
+        }
+
+        if ($this->mode == self::MODE_GCM) {
+            throw new \BadMethodCallException('This mode does not run in continuous mode');
+        }
+
+        $this->continuousBuffer = true;
+
+        $this->setEngine();
+    }
+
+    /**
+     * Treat consecutive packets as if they are a discontinuous buffer.
+     *
+     * The default behavior.
+     *
+     * {@internal Could, but not must, extend by the child Crypt_* class}
+     *
+     * @see self::enableContinuousBuffer()
+     * @access public
+     */
+    public function disableContinuousBuffer()
+    {
+        if ($this->mode == self::MODE_ECB) {
+            return;
+        }
+        if (!$this->continuousBuffer) {
+            return;
+        }
+
+        $this->continuousBuffer = false;
+
+        $this->setEngine();
+    }
+
+    /**
+     * Test for engine validity
+     *
+     * @see self::__construct()
+     * @param int $engine
+     * @access private
+     * @return bool
+     */
+    protected function isValidEngineHelper($engine)
+    {
+        switch ($engine) {
+            case self::ENGINE_OPENSSL:
+                $this->openssl_emulate_ctr = false;
+                $result = $this->cipher_name_openssl &&
+                          extension_loaded('openssl');
+                if (!$result) {
+                    return false;
+                }
+
+                $methods = openssl_get_cipher_methods();
+                if (in_array($this->cipher_name_openssl, $methods)) {
+                    return true;
+                }
+                // not all of openssl's symmetric cipher's support ctr. for those
+                // that don't we'll emulate it
+                switch ($this->mode) {
+                    case self::MODE_CTR:
+                        if (in_array(static::$cipher_name_openssl_ecb, $methods)) {
+                            $this->openssl_emulate_ctr = true;
+                            return true;
+                        }
+                }
+                return false;
+            case self::ENGINE_MCRYPT:
+                return $this->cipher_name_mcrypt &&
+                       extension_loaded('mcrypt') &&
+                       in_array($this->cipher_name_mcrypt, @mcrypt_list_algorithms());
+            case self::ENGINE_EVAL:
+                return method_exists($this, 'setupInlineCrypt');
+            case self::ENGINE_INTERNAL:
+                return true;
+        }
+
+        return false;
+    }
+
+    /**
+     * Test for engine validity
+     *
+     * @see self::__construct()
+     * @param string $engine
+     * @access public
+     * @return bool
+     */
+    public function isValidEngine($engine)
+    {
+        static $reverseMap;
+        if (!isset($reverseMap)) {
+            $reverseMap = array_map('strtolower', self::ENGINE_MAP);
+            $reverseMap = array_flip($reverseMap);
+        }
+        $engine = strtolower($engine);
+        if (!isset($reverseMap[$engine])) {
+            return false;
+        }
+
+        return $this->isValidEngineHelper($reverseMap[$engine]);
+    }
+
+    /**
+     * Sets the preferred crypt engine
+     *
+     * Currently, $engine could be:
+     *
+     * - libsodium[very fast]
+     *
+     * - OpenSSL  [very fast]
+     *
+     * - mcrypt   [fast]
+     *
+     * - Eval     [slow]
+     *
+     * - PHP      [slowest]
+     *
+     * If the preferred crypt engine is not available the fastest available one will be used
+     *
+     * @see self::__construct()
+     * @param string $engine
+     * @access public
+     */
+    public function setPreferredEngine($engine)
+    {
+        static $reverseMap;
+        if (!isset($reverseMap)) {
+            $reverseMap = array_map('strtolower', self::ENGINE_MAP);
+            $reverseMap = array_flip($reverseMap);
+        }
+        $engine = strtolower($engine);
+        $this->preferredEngine = isset($reverseMap[$engine]) ? $reverseMap[$engine] : self::ENGINE_LIBSODIUM;
+
+        $this->setEngine();
+    }
+
+    /**
+     * Returns the engine currently being utilized
+     *
+     * @see self::setEngine()
+     * @access public
+     */
+    public function getEngine()
+    {
+        return self::ENGINE_MAP[$this->engine];
+    }
+
+    /**
+     * Sets the engine as appropriate
+     *
+     * @see self::__construct()
+     * @access private
+     */
+    protected function setEngine()
+    {
+        $this->engine = null;
+
+        $candidateEngines = [
+            self::ENGINE_LIBSODIUM,
+            self::ENGINE_OPENSSL_GCM,
+            self::ENGINE_OPENSSL,
+            self::ENGINE_MCRYPT,
+            self::ENGINE_EVAL
+        ];
+        if (isset($this->preferredEngine)) {
+            $temp = [$this->preferredEngine];
+            $candidateEngines = array_merge(
+                $temp,
+                array_diff($candidateEngines, $temp)
+            );
+        }
+        foreach ($candidateEngines as $engine) {
+            if ($this->isValidEngineHelper($engine)) {
+                $this->engine = $engine;
+                break;
+            }
+        }
+        if (!$this->engine) {
+            $this->engine = self::ENGINE_INTERNAL;
+        }
+
+        if ($this->engine != self::ENGINE_MCRYPT && $this->enmcrypt) {
+            // Closing the current mcrypt resource(s). _mcryptSetup() will, if needed,
+            // (re)open them with the module named in $this->cipher_name_mcrypt
+            @mcrypt_module_close($this->enmcrypt);
+            @mcrypt_module_close($this->demcrypt);
+            $this->enmcrypt = null;
+            $this->demcrypt = null;
+
+            if ($this->ecb) {
+                @mcrypt_module_close($this->ecb);
+                $this->ecb = null;
+            }
+        }
+
+        $this->changed = $this->nonIVChanged = true;
+    }
+
+    /**
+     * Encrypts a block
+     *
+     * Note: Must be extended by the child \phpseclib3\Crypt\* class
+     *
+     * @access private
+     * @param string $in
+     * @return string
+     */
+    abstract protected function encryptBlock($in);
+
+    /**
+     * Decrypts a block
+     *
+     * Note: Must be extended by the child \phpseclib3\Crypt\* class
+     *
+     * @access private
+     * @param string $in
+     * @return string
+     */
+    abstract protected function decryptBlock($in);
+
+    /**
+     * Setup the key (expansion)
+     *
+     * Only used if $engine == self::ENGINE_INTERNAL
+     *
+     * Note: Must extend by the child \phpseclib3\Crypt\* class
+     *
+     * @see self::setup()
+     * @access private
+     */
+    abstract protected function setupKey();
+
+    /**
+     * Setup the self::ENGINE_INTERNAL $engine
+     *
+     * (re)init, if necessary, the internal cipher $engine and flush all $buffers
+     * Used (only) if $engine == self::ENGINE_INTERNAL
+     *
+     * _setup() will be called each time if $changed === true
+     * typically this happens when using one or more of following public methods:
+     *
+     * - setKey()
+     *
+     * - setIV()
+     *
+     * - disableContinuousBuffer()
+     *
+     * - First run of encrypt() / decrypt() with no init-settings
+     *
+     * {@internal setup() is always called before en/decryption.}
+     *
+     * {@internal Could, but not must, extend by the child Crypt_* class}
+     *
+     * @see self::setKey()
+     * @see self::setIV()
+     * @see self::disableContinuousBuffer()
+     * @access private
+     */
+    protected function setup()
+    {
+        if (!$this->changed) {
+            return;
+        }
+
+        $this->changed = false;
+
+        if ($this->usePoly1305 && !isset($this->poly1305Key) && method_exists($this, 'createPoly1305Key')) {
+            $this->createPoly1305Key();
+        }
+
+        $this->enbuffer = $this->debuffer = ['ciphertext' => '', 'xor' => '', 'pos' => 0, 'enmcrypt_init' => true];
+        //$this->newtag = $this->oldtag = false;
+
+        if ($this->usesNonce()) {
+            if ($this->nonce === false) {
+                throw new InsufficientSetupException('No nonce has been defined');
+            }
+            if ($this->mode == self::MODE_GCM && !in_array($this->engine, [self::ENGINE_LIBSODIUM, self::ENGINE_OPENSSL_GCM])) {
+                $this->setupGCM();
+            }
+        } else {
+            $this->iv = $this->origIV;
+        }
+
+        if ($this->iv === false && !in_array($this->mode, [self::MODE_STREAM, self::MODE_ECB])) {
+            if ($this->mode != self::MODE_GCM || !in_array($this->engine, [self::ENGINE_LIBSODIUM, self::ENGINE_OPENSSL_GCM])) {
+                throw new InsufficientSetupException('No IV has been defined');
+            }
+        }
+
+        if ($this->key === false) {
+            throw new InsufficientSetupException('No key has been defined');
+        }
+
+        $this->encryptIV = $this->decryptIV = $this->iv;
+
+        switch ($this->engine) {
+            case self::ENGINE_MCRYPT:
+                $this->enchanged = $this->dechanged = true;
+
+                if (!isset($this->enmcrypt)) {
+                    static $mcrypt_modes = [
+                        self::MODE_CTR    => 'ctr',
+                        self::MODE_ECB    => MCRYPT_MODE_ECB,
+                        self::MODE_CBC    => MCRYPT_MODE_CBC,
+                        self::MODE_CFB    => 'ncfb',
+                        self::MODE_CFB8   => MCRYPT_MODE_CFB,
+                        self::MODE_OFB    => MCRYPT_MODE_NOFB,
+                        self::MODE_STREAM => MCRYPT_MODE_STREAM,
+                    ];
+
+                    $this->demcrypt = @mcrypt_module_open($this->cipher_name_mcrypt, '', $mcrypt_modes[$this->mode], '');
+                    $this->enmcrypt = @mcrypt_module_open($this->cipher_name_mcrypt, '', $mcrypt_modes[$this->mode], '');
+
+                    // we need the $ecb mcrypt resource (only) in MODE_CFB with enableContinuousBuffer()
+                    // to workaround mcrypt's broken ncfb implementation in buffered mode
+                    // see: {@link http://phpseclib.sourceforge.net/cfb-demo.phps}
+                    if ($this->mode == self::MODE_CFB) {
+                        $this->ecb = @mcrypt_module_open($this->cipher_name_mcrypt, '', MCRYPT_MODE_ECB, '');
+                    }
+                } // else should mcrypt_generic_deinit be called?
+
+                if ($this->mode == self::MODE_CFB) {
+                    @mcrypt_generic_init($this->ecb, $this->key, str_repeat("\0", $this->block_size));
+                }
+                break;
+            case self::ENGINE_INTERNAL:
+                $this->setupKey();
+                break;
+            case self::ENGINE_EVAL:
+                if ($this->nonIVChanged) {
+                    $this->setupKey();
+                    $this->setupInlineCrypt();
+                }
+        }
+
+        $this->nonIVChanged = false;
+    }
+
+    /**
+     * Pads a string
+     *
+     * Pads a string using the RSA PKCS padding standards so that its length is a multiple of the blocksize.
+     * $this->block_size - (strlen($text) % $this->block_size) bytes are added, each of which is equal to
+     * chr($this->block_size - (strlen($text) % $this->block_size)
+     *
+     * If padding is disabled and $text is not a multiple of the blocksize, the string will be padded regardless
+     * and padding will, hence forth, be enabled.
+     *
+     * @see self::unpad()
+     * @param string $text
+     * @throws \LengthException if padding is disabled and the plaintext's length is not a multiple of the block size
+     * @access private
+     * @return string
+     */
+    protected function pad($text)
+    {
+        $length = strlen($text);
+
+        if (!$this->padding) {
+            if ($length % $this->block_size == 0) {
+                return $text;
+            } else {
+                throw new \LengthException("The plaintext's length ($length) is not a multiple of the block size ({$this->block_size}). Try enabling padding.");
+            }
+        }
+
+        $pad = $this->block_size - ($length % $this->block_size);
+
+        return str_pad($text, $length + $pad, chr($pad));
+    }
+
+    /**
+     * Unpads a string.
+     *
+     * If padding is enabled and the reported padding length is invalid the encryption key will be assumed to be wrong
+     * and false will be returned.
+     *
+     * @see self::pad()
+     * @param string $text
+     * @throws \LengthException if the ciphertext's length is not a multiple of the block size
+     * @access private
+     * @return string
+     */
+    protected function unpad($text)
+    {
+        if (!$this->padding) {
+            return $text;
+        }
+
+        $length = ord($text[strlen($text) - 1]);
+
+        if (!$length || $length > $this->block_size) {
+            throw new BadDecryptionException("The ciphertext has an invalid padding length ($length) compared to the block size ({$this->block_size})");
+        }
+
+        return substr($text, 0, -$length);
+    }
+
+    /**
+     * Setup the performance-optimized function for de/encrypt()
+     *
+     * Stores the created (or existing) callback function-name
+     * in $this->inline_crypt
+     *
+     * Internally for phpseclib developers:
+     *
+     *     _setupInlineCrypt() would be called only if:
+     *
+     *     - $this->engine === self::ENGINE_EVAL
+     *
+     *     - each time on _setup(), after(!) _setupKey()
+     *
+     *
+     *     This ensures that _setupInlineCrypt() has always a
+     *     full ready2go initializated internal cipher $engine state
+     *     where, for example, the keys already expanded,
+     *     keys/block_size calculated and such.
+     *
+     *     It is, each time if called, the responsibility of _setupInlineCrypt():
+     *
+     *     - to set $this->inline_crypt to a valid and fully working callback function
+     *       as a (faster) replacement for encrypt() / decrypt()
+     *
+     *     - NOT to create unlimited callback functions (for memory reasons!)
+     *       no matter how often _setupInlineCrypt() would be called. At some
+     *       point of amount they must be generic re-useable.
+     *
+     *     - the code of _setupInlineCrypt() it self,
+     *       and the generated callback code,
+     *       must be, in following order:
+     *       - 100% safe
+     *       - 100% compatible to encrypt()/decrypt()
+     *       - using only php5+ features/lang-constructs/php-extensions if
+     *         compatibility (down to php4) or fallback is provided
+     *       - readable/maintainable/understandable/commented and... not-cryptic-styled-code :-)
+     *       - >= 10% faster than encrypt()/decrypt() [which is, by the way,
+     *         the reason for the existence of _setupInlineCrypt() :-)]
+     *       - memory-nice
+     *       - short (as good as possible)
+     *
+     * Note: - _setupInlineCrypt() is using _createInlineCryptFunction() to create the full callback function code.
+     *       - In case of using inline crypting, _setupInlineCrypt() must extend by the child \phpseclib3\Crypt\* class.
+     *       - The following variable names are reserved:
+     *         - $_*  (all variable names prefixed with an underscore)
+     *         - $self (object reference to it self. Do not use $this, but $self instead)
+     *         - $in (the content of $in has to en/decrypt by the generated code)
+     *       - The callback function should not use the 'return' statement, but en/decrypt'ing the content of $in only
+     *
+     * {@internal If a Crypt_* class providing inline crypting it must extend _setupInlineCrypt()}
+     *
+     * @see self::setup()
+     * @see self::createInlineCryptFunction()
+     * @see self::encrypt()
+     * @see self::decrypt()
+     * @access private
+     */
+    //protected function setupInlineCrypt();
+
+    /**
+     * Creates the performance-optimized function for en/decrypt()
+     *
+     * Internally for phpseclib developers:
+     *
+     *    _createInlineCryptFunction():
+     *
+     *    - merge the $cipher_code [setup'ed by _setupInlineCrypt()]
+     *      with the current [$this->]mode of operation code
+     *
+     *    - create the $inline function, which called by encrypt() / decrypt()
+     *      as its replacement to speed up the en/decryption operations.
+     *
+     *    - return the name of the created $inline callback function
+     *
+     *    - used to speed up en/decryption
+     *
+     *
+     *
+     *    The main reason why can speed up things [up to 50%] this way are:
+     *
+     *    - using variables more effective then regular.
+     *      (ie no use of expensive arrays but integers $k_0, $k_1 ...
+     *      or even, for example, the pure $key[] values hardcoded)
+     *
+     *    - avoiding 1000's of function calls of ie _encryptBlock()
+     *      but inlining the crypt operations.
+     *      in the mode of operation for() loop.
+     *
+     *    - full loop unroll the (sometimes key-dependent) rounds
+     *      avoiding this way ++$i counters and runtime-if's etc...
+     *
+     *    The basic code architectur of the generated $inline en/decrypt()
+     *    lambda function, in pseudo php, is:
+     *
+     *    <code>
+     *    +----------------------------------------------------------------------------------------------+
+     *    | callback $inline = create_function:                                                          |
+     *    | lambda_function_0001_crypt_ECB($action, $text)                                               |
+     *    | {                                                                                            |
+     *    |     INSERT PHP CODE OF:                                                                      |
+     *    |     $cipher_code['init_crypt'];                  // general init code.                       |
+     *    |                                                  // ie: $sbox'es declarations used for       |
+     *    |                                                  //     encrypt and decrypt'ing.             |
+     *    |                                                                                              |
+     *    |     switch ($action) {                                                                       |
+     *    |         case 'encrypt':                                                                      |
+     *    |             INSERT PHP CODE OF:                                                              |
+     *    |             $cipher_code['init_encrypt'];       // encrypt sepcific init code.               |
+     *    |                                                    ie: specified $key or $box                |
+     *    |                                                        declarations for encrypt'ing.         |
+     *    |                                                                                              |
+     *    |             foreach ($ciphertext) {                                                          |
+     *    |                 $in = $block_size of $ciphertext;                                            |
+     *    |                                                                                              |
+     *    |                 INSERT PHP CODE OF:                                                          |
+     *    |                 $cipher_code['encrypt_block'];  // encrypt's (string) $in, which is always:  |
+     *    |                                                 // strlen($in) == $this->block_size          |
+     *    |                                                 // here comes the cipher algorithm in action |
+     *    |                                                 // for encryption.                           |
+     *    |                                                 // $cipher_code['encrypt_block'] has to      |
+     *    |                                                 // encrypt the content of the $in variable   |
+     *    |                                                                                              |
+     *    |                 $plaintext .= $in;                                                           |
+     *    |             }                                                                                |
+     *    |             return $plaintext;                                                               |
+     *    |                                                                                              |
+     *    |         case 'decrypt':                                                                      |
+     *    |             INSERT PHP CODE OF:                                                              |
+     *    |             $cipher_code['init_decrypt'];       // decrypt sepcific init code                |
+     *    |                                                    ie: specified $key or $box                |
+     *    |                                                        declarations for decrypt'ing.         |
+     *    |             foreach ($plaintext) {                                                           |
+     *    |                 $in = $block_size of $plaintext;                                             |
+     *    |                                                                                              |
+     *    |                 INSERT PHP CODE OF:                                                          |
+     *    |                 $cipher_code['decrypt_block'];  // decrypt's (string) $in, which is always   |
+     *    |                                                 // strlen($in) == $this->block_size          |
+     *    |                                                 // here comes the cipher algorithm in action |
+     *    |                                                 // for decryption.                           |
+     *    |                                                 // $cipher_code['decrypt_block'] has to      |
+     *    |                                                 // decrypt the content of the $in variable   |
+     *    |                 $ciphertext .= $in;                                                          |
+     *    |             }                                                                                |
+     *    |             return $ciphertext;                                                              |
+     *    |     }                                                                                        |
+     *    | }                                                                                            |
+     *    +----------------------------------------------------------------------------------------------+
+     *    </code>
+     *
+     *    See also the \phpseclib3\Crypt\*::_setupInlineCrypt()'s for
+     *    productive inline $cipher_code's how they works.
+     *
+     *    Structure of:
+     *    <code>
+     *    $cipher_code = [
+     *        'init_crypt'    => (string) '', // optional
+     *        'init_encrypt'  => (string) '', // optional
+     *        'init_decrypt'  => (string) '', // optional
+     *        'encrypt_block' => (string) '', // required
+     *        'decrypt_block' => (string) ''  // required
+     *    ];
+     *    </code>
+     *
+     * @see self::setupInlineCrypt()
+     * @see self::encrypt()
+     * @see self::decrypt()
+     * @param array $cipher_code
+     * @access private
+     * @return string (the name of the created callback function)
+     */
+    protected function createInlineCryptFunction($cipher_code)
+    {
+        $block_size = $this->block_size;
+
+        // optional
+        $init_crypt    = isset($cipher_code['init_crypt'])    ? $cipher_code['init_crypt']    : '';
+        $init_encrypt  = isset($cipher_code['init_encrypt'])  ? $cipher_code['init_encrypt']  : '';
+        $init_decrypt  = isset($cipher_code['init_decrypt'])  ? $cipher_code['init_decrypt']  : '';
+        // required
+        $encrypt_block = $cipher_code['encrypt_block'];
+        $decrypt_block = $cipher_code['decrypt_block'];
+
+        // Generating mode of operation inline code,
+        // merged with the $cipher_code algorithm
+        // for encrypt- and decryption.
+        switch ($this->mode) {
+            case self::MODE_ECB:
+                $encrypt = $init_encrypt . '
+                    $_ciphertext = "";
+                    $_plaintext_len = strlen($_text);
+
+                    for ($_i = 0; $_i < $_plaintext_len; $_i+= '.$block_size.') {
+                        $in = substr($_text, $_i, '.$block_size.');
+                        '.$encrypt_block.'
+                        $_ciphertext.= $in;
+                    }
+
+                    return $_ciphertext;
+                    ';
+
+                $decrypt = $init_decrypt . '
+                    $_plaintext = "";
+                    $_text = str_pad($_text, strlen($_text) + ('.$block_size.' - strlen($_text) % '.$block_size.') % '.$block_size.', chr(0));
+                    $_ciphertext_len = strlen($_text);
+
+                    for ($_i = 0; $_i < $_ciphertext_len; $_i+= '.$block_size.') {
+                        $in = substr($_text, $_i, '.$block_size.');
+                        '.$decrypt_block.'
+                        $_plaintext.= $in;
+                    }
+
+                    return $this->unpad($_plaintext);
+                    ';
+                break;
+            case self::MODE_CTR:
+                $encrypt = $init_encrypt . '
+                    $_ciphertext = "";
+                    $_plaintext_len = strlen($_text);
+                    $_xor = $this->encryptIV;
+                    $_buffer = &$this->enbuffer;
+                    if (strlen($_buffer["ciphertext"])) {
+                        for ($_i = 0; $_i < $_plaintext_len; $_i+= '.$block_size.') {
+                            $_block = substr($_text, $_i, '.$block_size.');
+                            if (strlen($_block) > strlen($_buffer["ciphertext"])) {
+                                $in = $_xor;
+                                '.$encrypt_block.'
+                                \phpseclib3\Common\Functions\Strings::increment_str($_xor);
+                                $_buffer["ciphertext"].= $in;
+                            }
+                            $_key = \phpseclib3\Common\Functions\Strings::shift($_buffer["ciphertext"], '.$block_size.');
+                            $_ciphertext.= $_block ^ $_key;
+                        }
+                    } else {
+                        for ($_i = 0; $_i < $_plaintext_len; $_i+= '.$block_size.') {
+                            $_block = substr($_text, $_i, '.$block_size.');
+                            $in = $_xor;
+                            '.$encrypt_block.'
+                            \phpseclib3\Common\Functions\Strings::increment_str($_xor);
+                            $_key = $in;
+                            $_ciphertext.= $_block ^ $_key;
+                        }
+                    }
+                    if ($this->continuousBuffer) {
+                        $this->encryptIV = $_xor;
+                        if ($_start = $_plaintext_len % '.$block_size.') {
+                            $_buffer["ciphertext"] = substr($_key, $_start) . $_buffer["ciphertext"];
+                        }
+                    }
+
+                    return $_ciphertext;
+                ';
+
+                $decrypt = $init_encrypt . '
+                    $_plaintext = "";
+                    $_ciphertext_len = strlen($_text);
+                    $_xor = $this->decryptIV;
+                    $_buffer = &$this->debuffer;
+
+                    if (strlen($_buffer["ciphertext"])) {
+                        for ($_i = 0; $_i < $_ciphertext_len; $_i+= '.$block_size.') {
+                            $_block = substr($_text, $_i, '.$block_size.');
+                            if (strlen($_block) > strlen($_buffer["ciphertext"])) {
+                                $in = $_xor;
+                                '.$encrypt_block.'
+                                \phpseclib3\Common\Functions\Strings::increment_str($_xor);
+                                $_buffer["ciphertext"].= $in;
+                            }
+                            $_key = \phpseclib3\Common\Functions\Strings::shift($_buffer["ciphertext"], '.$block_size.');
+                            $_plaintext.= $_block ^ $_key;
+                        }
+                    } else {
+                        for ($_i = 0; $_i < $_ciphertext_len; $_i+= '.$block_size.') {
+                            $_block = substr($_text, $_i, '.$block_size.');
+                            $in = $_xor;
+                            '.$encrypt_block.'
+                            \phpseclib3\Common\Functions\Strings::increment_str($_xor);
+                            $_key = $in;
+                            $_plaintext.= $_block ^ $_key;
+                        }
+                    }
+                    if ($this->continuousBuffer) {
+                        $this->decryptIV = $_xor;
+                        if ($_start = $_ciphertext_len % '.$block_size.') {
+                            $_buffer["ciphertext"] = substr($_key, $_start) . $_buffer["ciphertext"];
+                        }
+                    }
+
+                    return $_plaintext;
+                    ';
+                break;
+            case self::MODE_CFB:
+                $encrypt = $init_encrypt . '
+                    $_ciphertext = "";
+                    $_buffer = &$this->enbuffer;
+
+                    if ($this->continuousBuffer) {
+                        $_iv = &$this->encryptIV;
+                        $_pos = &$_buffer["pos"];
+                    } else {
+                        $_iv = $this->encryptIV;
+                        $_pos = 0;
+                    }
+                    $_len = strlen($_text);
+                    $_i = 0;
+                    if ($_pos) {
+                        $_orig_pos = $_pos;
+                        $_max = '.$block_size.' - $_pos;
+                        if ($_len >= $_max) {
+                            $_i = $_max;
+                            $_len-= $_max;
+                            $_pos = 0;
+                        } else {
+                            $_i = $_len;
+                            $_pos+= $_len;
+                            $_len = 0;
+                        }
+                        $_ciphertext = substr($_iv, $_orig_pos) ^ $_text;
+                        $_iv = substr_replace($_iv, $_ciphertext, $_orig_pos, $_i);
+                    }
+                    while ($_len >= '.$block_size.') {
+                        $in = $_iv;
+                        '.$encrypt_block.';
+                        $_iv = $in ^ substr($_text, $_i, '.$block_size.');
+                        $_ciphertext.= $_iv;
+                        $_len-= '.$block_size.';
+                        $_i+= '.$block_size.';
+                    }
+                    if ($_len) {
+                        $in = $_iv;
+                        '.$encrypt_block.'
+                        $_iv = $in;
+                        $_block = $_iv ^ substr($_text, $_i);
+                        $_iv = substr_replace($_iv, $_block, 0, $_len);
+                        $_ciphertext.= $_block;
+                        $_pos = $_len;
+                    }
+                    return $_ciphertext;
+                ';
+
+                $decrypt = $init_encrypt . '
+                    $_plaintext = "";
+                    $_buffer = &$this->debuffer;
+
+                    if ($this->continuousBuffer) {
+                        $_iv = &$this->decryptIV;
+                        $_pos = &$_buffer["pos"];
+                    } else {
+                        $_iv = $this->decryptIV;
+                        $_pos = 0;
+                    }
+                    $_len = strlen($_text);
+                    $_i = 0;
+                    if ($_pos) {
+                        $_orig_pos = $_pos;
+                        $_max = '.$block_size.' - $_pos;
+                        if ($_len >= $_max) {
+                            $_i = $_max;
+                            $_len-= $_max;
+                            $_pos = 0;
+                        } else {
+                            $_i = $_len;
+                            $_pos+= $_len;
+                            $_len = 0;
+                        }
+                        $_plaintext = substr($_iv, $_orig_pos) ^ $_text;
+                        $_iv = substr_replace($_iv, substr($_text, 0, $_i), $_orig_pos, $_i);
+                    }
+                    while ($_len >= '.$block_size.') {
+                        $in = $_iv;
+                        '.$encrypt_block.'
+                        $_iv = $in;
+                        $cb = substr($_text, $_i, '.$block_size.');
+                        $_plaintext.= $_iv ^ $cb;
+                        $_iv = $cb;
+                        $_len-= '.$block_size.';
+                        $_i+= '.$block_size.';
+                    }
+                    if ($_len) {
+                        $in = $_iv;
+                        '.$encrypt_block.'
+                        $_iv = $in;
+                        $_plaintext.= $_iv ^ substr($_text, $_i);
+                        $_iv = substr_replace($_iv, substr($_text, $_i), 0, $_len);
+                        $_pos = $_len;
+                    }
+
+                    return $_plaintext;
+                    ';
+                break;
+            case self::MODE_CFB8:
+                $encrypt = $init_encrypt . '
+                    $_ciphertext = "";
+                    $_len = strlen($_text);
+                    $_iv = $this->encryptIV;
+
+                    for ($_i = 0; $_i < $_len; ++$_i) {
+                        $in = $_iv;
+                        '.$encrypt_block.'
+                        $_ciphertext .= ($_c = $_text[$_i] ^ $in);
+                        $_iv = substr($_iv, 1) . $_c;
+                    }
+
+                    if ($this->continuousBuffer) {
+                        if ($_len >= '.$block_size.') {
+                            $this->encryptIV = substr($_ciphertext, -'.$block_size.');
+                        } else {
+                            $this->encryptIV = substr($this->encryptIV, $_len - '.$block_size.') . substr($_ciphertext, -$_len);
+                        }
+                    }
+
+                    return $_ciphertext;
+                    ';
+                $decrypt = $init_encrypt . '
+                    $_plaintext = "";
+                    $_len = strlen($_text);
+                    $_iv = $this->decryptIV;
+
+                    for ($_i = 0; $_i < $_len; ++$_i) {
+                        $in = $_iv;
+                        '.$encrypt_block.'
+                        $_plaintext .= $_text[$_i] ^ $in;
+                        $_iv = substr($_iv, 1) . $_text[$_i];
+                    }
+
+                    if ($this->continuousBuffer) {
+                        if ($_len >= '.$block_size.') {
+                            $this->decryptIV = substr($_text, -'.$block_size.');
+                        } else {
+                            $this->decryptIV = substr($this->decryptIV, $_len - '.$block_size.') . substr($_text, -$_len);
+                        }
+                    }
+
+                    return $_plaintext;
+                    ';
+                break;
+            case self::MODE_OFB:
+                $encrypt = $init_encrypt . '
+                    $_ciphertext = "";
+                    $_plaintext_len = strlen($_text);
+                    $_xor = $this->encryptIV;
+                    $_buffer = &$this->enbuffer;
+
+                    if (strlen($_buffer["xor"])) {
+                        for ($_i = 0; $_i < $_plaintext_len; $_i+= '.$block_size.') {
+                            $_block = substr($_text, $_i, '.$block_size.');
+                            if (strlen($_block) > strlen($_buffer["xor"])) {
+                                $in = $_xor;
+                                '.$encrypt_block.'
+                                $_xor = $in;
+                                $_buffer["xor"].= $_xor;
+                            }
+                            $_key = \phpseclib3\Common\Functions\Strings::shift($_buffer["xor"], '.$block_size.');
+                            $_ciphertext.= $_block ^ $_key;
+                        }
+                    } else {
+                        for ($_i = 0; $_i < $_plaintext_len; $_i+= '.$block_size.') {
+                            $in = $_xor;
+                            '.$encrypt_block.'
+                            $_xor = $in;
+                            $_ciphertext.= substr($_text, $_i, '.$block_size.') ^ $_xor;
+                        }
+                        $_key = $_xor;
+                    }
+                    if ($this->continuousBuffer) {
+                        $this->encryptIV = $_xor;
+                        if ($_start = $_plaintext_len % '.$block_size.') {
+                             $_buffer["xor"] = substr($_key, $_start) . $_buffer["xor"];
+                        }
+                    }
+                    return $_ciphertext;
+                    ';
+
+                $decrypt = $init_encrypt . '
+                    $_plaintext = "";
+                    $_ciphertext_len = strlen($_text);
+                    $_xor = $this->decryptIV;
+                    $_buffer = &$this->debuffer;
+
+                    if (strlen($_buffer["xor"])) {
+                        for ($_i = 0; $_i < $_ciphertext_len; $_i+= '.$block_size.') {
+                            $_block = substr($_text, $_i, '.$block_size.');
+                            if (strlen($_block) > strlen($_buffer["xor"])) {
+                                $in = $_xor;
+                                '.$encrypt_block.'
+                                $_xor = $in;
+                                $_buffer["xor"].= $_xor;
+                            }
+                            $_key = \phpseclib3\Common\Functions\Strings::shift($_buffer["xor"], '.$block_size.');
+                            $_plaintext.= $_block ^ $_key;
+                        }
+                    } else {
+                        for ($_i = 0; $_i < $_ciphertext_len; $_i+= '.$block_size.') {
+                            $in = $_xor;
+                            '.$encrypt_block.'
+                            $_xor = $in;
+                            $_plaintext.= substr($_text, $_i, '.$block_size.') ^ $_xor;
+                        }
+                        $_key = $_xor;
+                    }
+                    if ($this->continuousBuffer) {
+                        $this->decryptIV = $_xor;
+                        if ($_start = $_ciphertext_len % '.$block_size.') {
+                             $_buffer["xor"] = substr($_key, $_start) . $_buffer["xor"];
+                        }
+                    }
+                    return $_plaintext;
+                    ';
+                break;
+            case self::MODE_STREAM:
+                $encrypt = $init_encrypt . '
+                    $_ciphertext = "";
+                    '.$encrypt_block.'
+                    return $_ciphertext;
+                    ';
+                $decrypt = $init_decrypt . '
+                    $_plaintext = "";
+                    '.$decrypt_block.'
+                    return $_plaintext;
+                    ';
+                break;
+            // case self::MODE_CBC:
+            default:
+                $encrypt = $init_encrypt . '
+                    $_ciphertext = "";
+                    $_plaintext_len = strlen($_text);
+
+                    $in = $this->encryptIV;
+
+                    for ($_i = 0; $_i < $_plaintext_len; $_i+= '.$block_size.') {
+                        $in = substr($_text, $_i, '.$block_size.') ^ $in;
+                        '.$encrypt_block.'
+                        $_ciphertext.= $in;
+                    }
+
+                    if ($this->continuousBuffer) {
+                        $this->encryptIV = $in;
+                    }
+
+                    return $_ciphertext;
+                    ';
+
+                $decrypt = $init_decrypt . '
+                    $_plaintext = "";
+                    $_text = str_pad($_text, strlen($_text) + ('.$block_size.' - strlen($_text) % '.$block_size.') % '.$block_size.', chr(0));
+                    $_ciphertext_len = strlen($_text);
+
+                    $_iv = $this->decryptIV;
+
+                    for ($_i = 0; $_i < $_ciphertext_len; $_i+= '.$block_size.') {
+                        $in = $_block = substr($_text, $_i, '.$block_size.');
+                        '.$decrypt_block.'
+                        $_plaintext.= $in ^ $_iv;
+                        $_iv = $_block;
+                    }
+
+                    if ($this->continuousBuffer) {
+                        $this->decryptIV = $_iv;
+                    }
+
+                    return $this->unpad($_plaintext);
+                    ';
+                break;
+        }
+
+        // Before discrediting this, please read the following:
+        // @see https://github.com/phpseclib/phpseclib/issues/1293
+        // @see https://github.com/phpseclib/phpseclib/pull/1143
+        eval('$func = function ($_action, $_text) { ' . $init_crypt . 'if ($_action == "encrypt") { ' . $encrypt . ' } else { ' . $decrypt . ' }};');
+
+        return \Closure::bind($func, $this, static::class);
+    }
+
+    /**
+     * Convert float to int
+     *
+     * On ARM CPUs converting floats to ints doesn't always work
+     *
+     * @access private
+     * @param string $x
+     * @return int
+     */
+    protected static function safe_intval($x)
+    {
+        switch (true) {
+            case is_int($x):
+            // PHP 5.3, per http://php.net/releases/5_3_0.php, introduced "more consistent float rounding"
+            case (php_uname('m') & "\xDF\xDF\xDF") != 'ARM':
+                return $x;
+        }
+        return (fmod($x, 0x80000000) & 0x7FFFFFFF) |
+            ((fmod(floor($x / 0x80000000), 2) & 1) << 31);
+    }
+
+    /**
+     * eval()'able string for in-line float to int
+     *
+     * @access private
+     * @return string
+     */
+    protected static function safe_intval_inline()
+    {
+        switch (true) {
+            case defined('PHP_INT_SIZE') && PHP_INT_SIZE == 8:
+            case (php_uname('m') & "\xDF\xDF\xDF") != 'ARM':
+                return '%s';
+                break;
+            default:
+                $safeint = '(is_int($temp = %s) ? $temp : (fmod($temp, 0x80000000) & 0x7FFFFFFF) | ';
+                return $safeint . '((fmod(floor($temp / 0x80000000), 2) & 1) << 31))';
+        }
+    }
+
+    /**
+     * Sets up GCM parameters
+     *
+     * See steps 1-2 of https://nvlpubs.nist.gov/nistpubs/Legacy/SP/nistspecialpublication800-38d.pdf#page=23
+     * for more info
+     *
+     * @access private
+     */
+    private function setupGCM()
+    {
+        // don't keep on re-calculating $this->h
+        if (!$this->h || $this->h->key != $this->key) {
+            $cipher = new static('ecb');
+            $cipher->setKey($this->key);
+            $cipher->disablePadding();
+
+            $this->h = self::$gcmField->newInteger(
+                Strings::switchEndianness($cipher->encrypt("\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0"))
+            );
+            $this->h->key = $this->key;
+        }
+
+        if (strlen($this->nonce) == 12) {
+            $this->iv = $this->nonce . "\0\0\0\1";
+        } else {
+            $this->iv = $this->ghash(
+                self::nullPad128($this->nonce) . str_repeat("\0", 8) . self::len64($this->nonce)
+            );
+        }
+    }
+
+    /**
+     * Performs GHASH operation
+     *
+     * See https://nvlpubs.nist.gov/nistpubs/Legacy/SP/nistspecialpublication800-38d.pdf#page=20
+     * for more info
+     *
+     * @see self::decrypt()
+     * @see self::encrypt()
+     * @access private
+     * @param string $x
+     * @return string
+     */
+    private function ghash($x)
+    {
+        $h = $this->h;
+        $y = ["\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0"];
+        $x = str_split($x, 16);
+        $n = 0;
+        // the switchEndianness calls are necessary because the multiplication algorithm in BinaryField/Integer
+        // interprets strings as polynomials in big endian order whereas in GCM they're interpreted in little
+        // endian order per https://nvlpubs.nist.gov/nistpubs/Legacy/SP/nistspecialpublication800-38d.pdf#page=19.
+        // big endian order is what binary field elliptic curves use per http://www.secg.org/sec1-v2.pdf#page=18.
+
+        // we could switchEndianness here instead of in the while loop but doing so in the while loop seems like it
+        // might be slightly more performant
+        //$x = Strings::switchEndianness($x);
+        foreach ($x as $xn) {
+            $xn = Strings::switchEndianness($xn);
+            $t = $y[$n] ^ $xn;
+            $temp = self::$gcmField->newInteger($t);
+            $y[++$n] = $temp->multiply($h)->toBytes();
+            $y[$n] = substr($y[$n], 1);
+        }
+        $y[$n] = Strings::switchEndianness($y[$n]);
+        return $y[$n];
+    }
+
+    /**
+     * Returns the bit length of a string in a packed format
+     *
+     * @see self::decrypt()
+     * @see self::encrypt()
+     * @see self::setupGCM()
+     * @access private
+     * @param string $str
+     * @return string
+     */
+    private static function len64($str)
+    {
+        return "\0\0\0\0" . pack('N', 8 * strlen($str));
+    }
+
+    /**
+     * NULL pads a string to be a multiple of 128
+     *
+     * @see self::decrypt()
+     * @see self::encrypt()
+     * @see self::setupGCM()
+     * @access private
+     * @param string $str
+     * @return string
+     */
+    protected static function nullPad128($str)
+    {
+        $len = strlen($str);
+        return $str . str_repeat("\0", 16 * ceil($len / 16) - $len);
+    }
+
+    /**
+     * Calculates Poly1305 MAC
+     *
+     * On my system ChaCha20, with libsodium, takes 0.5s. With this custom Poly1305 implementation
+     * it takes 1.2s.
+     *
+     * @see self::decrypt()
+     * @see self::encrypt()
+     * @access private
+     * @param string $text
+     * @return string
+     */
+    protected function poly1305($text)
+    {
+        $s = $this->poly1305Key; // strlen($this->poly1305Key) == 32
+        $r = Strings::shift($s, 16);
+        $r = strrev($r);
+        $r&= "\x0f\xff\xff\xfc\x0f\xff\xff\xfc\x0f\xff\xff\xfc\x0f\xff\xff\xff";
+        $s = strrev($s);
+
+        $r = self::$poly1305Field->newInteger(new BigInteger($r, 256));
+        $s = self::$poly1305Field->newInteger(new BigInteger($s, 256));
+        $a = self::$poly1305Field->newInteger(new BigInteger());
+
+        $blocks = str_split($text, 16);
+        foreach ($blocks as $block) {
+            $n = strrev($block . chr(1));
+            $n = self::$poly1305Field->newInteger(new BigInteger($n, 256));
+            $a = $a->add($n);
+            $a = $a->multiply($r);
+        }
+        $r = $a->toBigInteger()->add($s->toBigInteger());
+        $mask = "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF";
+        return strrev($r->toBytes()) & $mask;
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Traits/Fingerprint.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Traits/Fingerprint.php
new file mode 100644
index 000000000..0db9c84ab
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Traits/Fingerprint.php
@@ -0,0 +1,62 @@
+<?php
+
+/**
+ * Fingerprint Trait for Public Keys
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   Common
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\Common\Traits;
+
+use phpseclib3\Crypt\Hash;
+
+/**
+ * Fingerprint Trait for Private Keys
+ *
+ * @package Common
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+trait Fingerprint
+{
+    /**
+     * Returns the public key's fingerprint
+     *
+     * The public key's fingerprint is returned, which is equivalent to running `ssh-keygen -lf rsa.pub`. If there is
+     * no public key currently loaded, false is returned.
+     * Example output (md5): "c1:b1:30:29:d7:b8:de:6c:97:77:10:d7:46:41:63:87" (as specified by RFC 4716)
+     *
+     * @access public
+     * @param string $algorithm The hashing algorithm to be used. Valid options are 'md5' and 'sha256'. False is returned
+     * for invalid values.
+     * @return mixed
+     */
+    public function getFingerprint($algorithm = 'md5')
+    {
+        $type = self::validatePlugin('Keys', 'OpenSSH', 'savePublicKey');
+        if ($type === false) {
+            return false;
+        }
+        $key = $this->toString('OpenSSH', ['binary' => true]);
+        if ($key === false) {
+            return false;
+        }
+        switch ($algorithm) {
+            case 'sha256':
+                $hash = new Hash('sha256');
+                $base = base64_encode($hash->hash($key));
+                return substr($base, 0, strlen($base) - 1);
+            case 'md5':
+                return substr(chunk_split(md5($key), 2, ':'), 0, -1);
+            default:
+                return false;
+        }
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Traits/PasswordProtected.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Traits/PasswordProtected.php
new file mode 100644
index 000000000..058f9b949
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Common/Traits/PasswordProtected.php
@@ -0,0 +1,51 @@
+<?php
+
+/**
+ * Password Protected Trait for Private Keys
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   Common
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\Common\Traits;
+
+/**
+ * Password Protected Trait for Private Keys
+ *
+ * @package Common
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+trait PasswordProtected
+{
+    /**
+     * Password
+     *
+     * @var string|bool
+     */
+    private $password = false;
+
+    /**
+     * Sets the password
+     *
+     * Private keys can be encrypted with a password.  To unset the password, pass in the empty string or false.
+     * Or rather, pass in $password such that empty($password) && !is_string($password) is true.
+     *
+     * @see self::createKey()
+     * @see self::load()
+     * @access public
+     * @param string|boolean $password
+     */
+    public function withPassword($password = false)
+    {
+        $new = clone $this;
+        $new->password = $password;
+        return $new;
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/DES.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DES.php
new file mode 100644
index 000000000..cbde382fd
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DES.php
@@ -0,0 +1,1411 @@
+<?php
+
+/**
+ * Pure-PHP implementation of DES.
+ *
+ * Uses mcrypt, if available, and an internal implementation, otherwise.
+ *
+ * PHP version 5
+ *
+ * Useful resources are as follows:
+ *
+ *  - {@link http://en.wikipedia.org/wiki/DES_supplementary_material Wikipedia: DES supplementary material}
+ *  - {@link http://www.itl.nist.gov/fipspubs/fip46-2.htm FIPS 46-2 - (DES), Data Encryption Standard}
+ *  - {@link http://www.cs.eku.edu/faculty/styer/460/Encrypt/JS-DES.html JavaScript DES Example}
+ *
+ * Here's a short example of how to use this library:
+ * <code>
+ * <?php
+ *    include 'vendor/autoload.php';
+ *
+ *    $des = new \phpseclib3\Crypt\DES();
+ *
+ *    $des->setKey('abcdefgh');
+ *
+ *    $size = 10 * 1024;
+ *    $plaintext = '';
+ *    for ($i = 0; $i < $size; $i++) {
+ *        $plaintext.= 'a';
+ *    }
+ *
+ *    echo $des->decrypt($des->encrypt($plaintext));
+ * ?>
+ * </code>
+ *
+ * @category  Crypt
+ * @package   DES
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2007 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt;
+
+use phpseclib3\Crypt\Common\BlockCipher;
+use phpseclib3\Exception\BadModeException;
+
+/**
+ * Pure-PHP implementation of DES.
+ *
+ * @package DES
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class DES extends BlockCipher
+{
+    /**
+     * Contains $keys[self::ENCRYPT]
+     *
+     * @access private
+     * @see \phpseclib3\Crypt\DES::setupKey()
+     * @see \phpseclib3\Crypt\DES::processBlock()
+     */
+    const ENCRYPT = 0;
+    /**
+     * Contains $keys[self::DECRYPT]
+     *
+     * @access private
+     * @see \phpseclib3\Crypt\DES::setupKey()
+     * @see \phpseclib3\Crypt\DES::processBlock()
+     */
+    const DECRYPT = 1;
+
+    /**
+     * Block Length of the cipher
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::block_size
+     * @var int
+     * @access private
+     */
+    protected $block_size = 8;
+
+    /**
+     * Key Length (in bytes)
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::setKeyLength()
+     * @var int
+     * @access private
+     */
+   protected $key_length = 8;
+
+    /**
+     * The mcrypt specific name of the cipher
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::cipher_name_mcrypt
+     * @var string
+     * @access private
+     */
+    protected $cipher_name_mcrypt = 'des';
+
+    /**
+     * The OpenSSL names of the cipher / modes
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::openssl_mode_names
+     * @var array
+     * @access private
+     */
+    protected $openssl_mode_names = [
+        self::MODE_ECB => 'des-ecb',
+        self::MODE_CBC => 'des-cbc',
+        self::MODE_CFB => 'des-cfb',
+        self::MODE_OFB => 'des-ofb'
+        // self::MODE_CTR is undefined for DES
+    ];
+
+    /**
+     * Optimizing value while CFB-encrypting
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::cfb_init_len
+     * @var int
+     * @access private
+     */
+    protected $cfb_init_len = 500;
+
+    /**
+     * Switch for DES/3DES encryption
+     *
+     * Used only if $engine == self::ENGINE_INTERNAL
+     *
+     * @see self::setupKey()
+     * @see self::processBlock()
+     * @var int
+     * @access private
+     */
+    protected $des_rounds = 1;
+
+    /**
+     * max possible size of $key
+     *
+     * @see self::setKey()
+     * @var string
+     * @access private
+     */
+    protected $key_length_max = 8;
+
+    /**
+     * The Key Schedule
+     *
+     * @see self::setupKey()
+     * @var array
+     * @access private
+     */
+    private $keys;
+
+    /**
+     * Shuffle table.
+     *
+     * For each byte value index, the entry holds an 8-byte string
+     * with each byte containing all bits in the same state as the
+     * corresponding bit in the index value.
+     *
+     * @see self::processBlock()
+     * @see self::setupKey()
+     * @var array
+     * @access private
+     */
+    protected static $shuffle = [
+        "\x00\x00\x00\x00\x00\x00\x00\x00", "\x00\x00\x00\x00\x00\x00\x00\xFF",
+        "\x00\x00\x00\x00\x00\x00\xFF\x00", "\x00\x00\x00\x00\x00\x00\xFF\xFF",
+        "\x00\x00\x00\x00\x00\xFF\x00\x00", "\x00\x00\x00\x00\x00\xFF\x00\xFF",
+        "\x00\x00\x00\x00\x00\xFF\xFF\x00", "\x00\x00\x00\x00\x00\xFF\xFF\xFF",
+        "\x00\x00\x00\x00\xFF\x00\x00\x00", "\x00\x00\x00\x00\xFF\x00\x00\xFF",
+        "\x00\x00\x00\x00\xFF\x00\xFF\x00", "\x00\x00\x00\x00\xFF\x00\xFF\xFF",
+        "\x00\x00\x00\x00\xFF\xFF\x00\x00", "\x00\x00\x00\x00\xFF\xFF\x00\xFF",
+        "\x00\x00\x00\x00\xFF\xFF\xFF\x00", "\x00\x00\x00\x00\xFF\xFF\xFF\xFF",
+        "\x00\x00\x00\xFF\x00\x00\x00\x00", "\x00\x00\x00\xFF\x00\x00\x00\xFF",
+        "\x00\x00\x00\xFF\x00\x00\xFF\x00", "\x00\x00\x00\xFF\x00\x00\xFF\xFF",
+        "\x00\x00\x00\xFF\x00\xFF\x00\x00", "\x00\x00\x00\xFF\x00\xFF\x00\xFF",
+        "\x00\x00\x00\xFF\x00\xFF\xFF\x00", "\x00\x00\x00\xFF\x00\xFF\xFF\xFF",
+        "\x00\x00\x00\xFF\xFF\x00\x00\x00", "\x00\x00\x00\xFF\xFF\x00\x00\xFF",
+        "\x00\x00\x00\xFF\xFF\x00\xFF\x00", "\x00\x00\x00\xFF\xFF\x00\xFF\xFF",
+        "\x00\x00\x00\xFF\xFF\xFF\x00\x00", "\x00\x00\x00\xFF\xFF\xFF\x00\xFF",
+        "\x00\x00\x00\xFF\xFF\xFF\xFF\x00", "\x00\x00\x00\xFF\xFF\xFF\xFF\xFF",
+        "\x00\x00\xFF\x00\x00\x00\x00\x00", "\x00\x00\xFF\x00\x00\x00\x00\xFF",
+        "\x00\x00\xFF\x00\x00\x00\xFF\x00", "\x00\x00\xFF\x00\x00\x00\xFF\xFF",
+        "\x00\x00\xFF\x00\x00\xFF\x00\x00", "\x00\x00\xFF\x00\x00\xFF\x00\xFF",
+        "\x00\x00\xFF\x00\x00\xFF\xFF\x00", "\x00\x00\xFF\x00\x00\xFF\xFF\xFF",
+        "\x00\x00\xFF\x00\xFF\x00\x00\x00", "\x00\x00\xFF\x00\xFF\x00\x00\xFF",
+        "\x00\x00\xFF\x00\xFF\x00\xFF\x00", "\x00\x00\xFF\x00\xFF\x00\xFF\xFF",
+        "\x00\x00\xFF\x00\xFF\xFF\x00\x00", "\x00\x00\xFF\x00\xFF\xFF\x00\xFF",
+        "\x00\x00\xFF\x00\xFF\xFF\xFF\x00", "\x00\x00\xFF\x00\xFF\xFF\xFF\xFF",
+        "\x00\x00\xFF\xFF\x00\x00\x00\x00", "\x00\x00\xFF\xFF\x00\x00\x00\xFF",
+        "\x00\x00\xFF\xFF\x00\x00\xFF\x00", "\x00\x00\xFF\xFF\x00\x00\xFF\xFF",
+        "\x00\x00\xFF\xFF\x00\xFF\x00\x00", "\x00\x00\xFF\xFF\x00\xFF\x00\xFF",
+        "\x00\x00\xFF\xFF\x00\xFF\xFF\x00", "\x00\x00\xFF\xFF\x00\xFF\xFF\xFF",
+        "\x00\x00\xFF\xFF\xFF\x00\x00\x00", "\x00\x00\xFF\xFF\xFF\x00\x00\xFF",
+        "\x00\x00\xFF\xFF\xFF\x00\xFF\x00", "\x00\x00\xFF\xFF\xFF\x00\xFF\xFF",
+        "\x00\x00\xFF\xFF\xFF\xFF\x00\x00", "\x00\x00\xFF\xFF\xFF\xFF\x00\xFF",
+        "\x00\x00\xFF\xFF\xFF\xFF\xFF\x00", "\x00\x00\xFF\xFF\xFF\xFF\xFF\xFF",
+        "\x00\xFF\x00\x00\x00\x00\x00\x00", "\x00\xFF\x00\x00\x00\x00\x00\xFF",
+        "\x00\xFF\x00\x00\x00\x00\xFF\x00", "\x00\xFF\x00\x00\x00\x00\xFF\xFF",
+        "\x00\xFF\x00\x00\x00\xFF\x00\x00", "\x00\xFF\x00\x00\x00\xFF\x00\xFF",
+        "\x00\xFF\x00\x00\x00\xFF\xFF\x00", "\x00\xFF\x00\x00\x00\xFF\xFF\xFF",
+        "\x00\xFF\x00\x00\xFF\x00\x00\x00", "\x00\xFF\x00\x00\xFF\x00\x00\xFF",
+        "\x00\xFF\x00\x00\xFF\x00\xFF\x00", "\x00\xFF\x00\x00\xFF\x00\xFF\xFF",
+        "\x00\xFF\x00\x00\xFF\xFF\x00\x00", "\x00\xFF\x00\x00\xFF\xFF\x00\xFF",
+        "\x00\xFF\x00\x00\xFF\xFF\xFF\x00", "\x00\xFF\x00\x00\xFF\xFF\xFF\xFF",
+        "\x00\xFF\x00\xFF\x00\x00\x00\x00", "\x00\xFF\x00\xFF\x00\x00\x00\xFF",
+        "\x00\xFF\x00\xFF\x00\x00\xFF\x00", "\x00\xFF\x00\xFF\x00\x00\xFF\xFF",
+        "\x00\xFF\x00\xFF\x00\xFF\x00\x00", "\x00\xFF\x00\xFF\x00\xFF\x00\xFF",
+        "\x00\xFF\x00\xFF\x00\xFF\xFF\x00", "\x00\xFF\x00\xFF\x00\xFF\xFF\xFF",
+        "\x00\xFF\x00\xFF\xFF\x00\x00\x00", "\x00\xFF\x00\xFF\xFF\x00\x00\xFF",
+        "\x00\xFF\x00\xFF\xFF\x00\xFF\x00", "\x00\xFF\x00\xFF\xFF\x00\xFF\xFF",
+        "\x00\xFF\x00\xFF\xFF\xFF\x00\x00", "\x00\xFF\x00\xFF\xFF\xFF\x00\xFF",
+        "\x00\xFF\x00\xFF\xFF\xFF\xFF\x00", "\x00\xFF\x00\xFF\xFF\xFF\xFF\xFF",
+        "\x00\xFF\xFF\x00\x00\x00\x00\x00", "\x00\xFF\xFF\x00\x00\x00\x00\xFF",
+        "\x00\xFF\xFF\x00\x00\x00\xFF\x00", "\x00\xFF\xFF\x00\x00\x00\xFF\xFF",
+        "\x00\xFF\xFF\x00\x00\xFF\x00\x00", "\x00\xFF\xFF\x00\x00\xFF\x00\xFF",
+        "\x00\xFF\xFF\x00\x00\xFF\xFF\x00", "\x00\xFF\xFF\x00\x00\xFF\xFF\xFF",
+        "\x00\xFF\xFF\x00\xFF\x00\x00\x00", "\x00\xFF\xFF\x00\xFF\x00\x00\xFF",
+        "\x00\xFF\xFF\x00\xFF\x00\xFF\x00", "\x00\xFF\xFF\x00\xFF\x00\xFF\xFF",
+        "\x00\xFF\xFF\x00\xFF\xFF\x00\x00", "\x00\xFF\xFF\x00\xFF\xFF\x00\xFF",
+        "\x00\xFF\xFF\x00\xFF\xFF\xFF\x00", "\x00\xFF\xFF\x00\xFF\xFF\xFF\xFF",
+        "\x00\xFF\xFF\xFF\x00\x00\x00\x00", "\x00\xFF\xFF\xFF\x00\x00\x00\xFF",
+        "\x00\xFF\xFF\xFF\x00\x00\xFF\x00", "\x00\xFF\xFF\xFF\x00\x00\xFF\xFF",
+        "\x00\xFF\xFF\xFF\x00\xFF\x00\x00", "\x00\xFF\xFF\xFF\x00\xFF\x00\xFF",
+        "\x00\xFF\xFF\xFF\x00\xFF\xFF\x00", "\x00\xFF\xFF\xFF\x00\xFF\xFF\xFF",
+        "\x00\xFF\xFF\xFF\xFF\x00\x00\x00", "\x00\xFF\xFF\xFF\xFF\x00\x00\xFF",
+        "\x00\xFF\xFF\xFF\xFF\x00\xFF\x00", "\x00\xFF\xFF\xFF\xFF\x00\xFF\xFF",
+        "\x00\xFF\xFF\xFF\xFF\xFF\x00\x00", "\x00\xFF\xFF\xFF\xFF\xFF\x00\xFF",
+        "\x00\xFF\xFF\xFF\xFF\xFF\xFF\x00", "\x00\xFF\xFF\xFF\xFF\xFF\xFF\xFF",
+        "\xFF\x00\x00\x00\x00\x00\x00\x00", "\xFF\x00\x00\x00\x00\x00\x00\xFF",
+        "\xFF\x00\x00\x00\x00\x00\xFF\x00", "\xFF\x00\x00\x00\x00\x00\xFF\xFF",
+        "\xFF\x00\x00\x00\x00\xFF\x00\x00", "\xFF\x00\x00\x00\x00\xFF\x00\xFF",
+        "\xFF\x00\x00\x00\x00\xFF\xFF\x00", "\xFF\x00\x00\x00\x00\xFF\xFF\xFF",
+        "\xFF\x00\x00\x00\xFF\x00\x00\x00", "\xFF\x00\x00\x00\xFF\x00\x00\xFF",
+        "\xFF\x00\x00\x00\xFF\x00\xFF\x00", "\xFF\x00\x00\x00\xFF\x00\xFF\xFF",
+        "\xFF\x00\x00\x00\xFF\xFF\x00\x00", "\xFF\x00\x00\x00\xFF\xFF\x00\xFF",
+        "\xFF\x00\x00\x00\xFF\xFF\xFF\x00", "\xFF\x00\x00\x00\xFF\xFF\xFF\xFF",
+        "\xFF\x00\x00\xFF\x00\x00\x00\x00", "\xFF\x00\x00\xFF\x00\x00\x00\xFF",
+        "\xFF\x00\x00\xFF\x00\x00\xFF\x00", "\xFF\x00\x00\xFF\x00\x00\xFF\xFF",
+        "\xFF\x00\x00\xFF\x00\xFF\x00\x00", "\xFF\x00\x00\xFF\x00\xFF\x00\xFF",
+        "\xFF\x00\x00\xFF\x00\xFF\xFF\x00", "\xFF\x00\x00\xFF\x00\xFF\xFF\xFF",
+        "\xFF\x00\x00\xFF\xFF\x00\x00\x00", "\xFF\x00\x00\xFF\xFF\x00\x00\xFF",
+        "\xFF\x00\x00\xFF\xFF\x00\xFF\x00", "\xFF\x00\x00\xFF\xFF\x00\xFF\xFF",
+        "\xFF\x00\x00\xFF\xFF\xFF\x00\x00", "\xFF\x00\x00\xFF\xFF\xFF\x00\xFF",
+        "\xFF\x00\x00\xFF\xFF\xFF\xFF\x00", "\xFF\x00\x00\xFF\xFF\xFF\xFF\xFF",
+        "\xFF\x00\xFF\x00\x00\x00\x00\x00", "\xFF\x00\xFF\x00\x00\x00\x00\xFF",
+        "\xFF\x00\xFF\x00\x00\x00\xFF\x00", "\xFF\x00\xFF\x00\x00\x00\xFF\xFF",
+        "\xFF\x00\xFF\x00\x00\xFF\x00\x00", "\xFF\x00\xFF\x00\x00\xFF\x00\xFF",
+        "\xFF\x00\xFF\x00\x00\xFF\xFF\x00", "\xFF\x00\xFF\x00\x00\xFF\xFF\xFF",
+        "\xFF\x00\xFF\x00\xFF\x00\x00\x00", "\xFF\x00\xFF\x00\xFF\x00\x00\xFF",
+        "\xFF\x00\xFF\x00\xFF\x00\xFF\x00", "\xFF\x00\xFF\x00\xFF\x00\xFF\xFF",
+        "\xFF\x00\xFF\x00\xFF\xFF\x00\x00", "\xFF\x00\xFF\x00\xFF\xFF\x00\xFF",
+        "\xFF\x00\xFF\x00\xFF\xFF\xFF\x00", "\xFF\x00\xFF\x00\xFF\xFF\xFF\xFF",
+        "\xFF\x00\xFF\xFF\x00\x00\x00\x00", "\xFF\x00\xFF\xFF\x00\x00\x00\xFF",
+        "\xFF\x00\xFF\xFF\x00\x00\xFF\x00", "\xFF\x00\xFF\xFF\x00\x00\xFF\xFF",
+        "\xFF\x00\xFF\xFF\x00\xFF\x00\x00", "\xFF\x00\xFF\xFF\x00\xFF\x00\xFF",
+        "\xFF\x00\xFF\xFF\x00\xFF\xFF\x00", "\xFF\x00\xFF\xFF\x00\xFF\xFF\xFF",
+        "\xFF\x00\xFF\xFF\xFF\x00\x00\x00", "\xFF\x00\xFF\xFF\xFF\x00\x00\xFF",
+        "\xFF\x00\xFF\xFF\xFF\x00\xFF\x00", "\xFF\x00\xFF\xFF\xFF\x00\xFF\xFF",
+        "\xFF\x00\xFF\xFF\xFF\xFF\x00\x00", "\xFF\x00\xFF\xFF\xFF\xFF\x00\xFF",
+        "\xFF\x00\xFF\xFF\xFF\xFF\xFF\x00", "\xFF\x00\xFF\xFF\xFF\xFF\xFF\xFF",
+        "\xFF\xFF\x00\x00\x00\x00\x00\x00", "\xFF\xFF\x00\x00\x00\x00\x00\xFF",
+        "\xFF\xFF\x00\x00\x00\x00\xFF\x00", "\xFF\xFF\x00\x00\x00\x00\xFF\xFF",
+        "\xFF\xFF\x00\x00\x00\xFF\x00\x00", "\xFF\xFF\x00\x00\x00\xFF\x00\xFF",
+        "\xFF\xFF\x00\x00\x00\xFF\xFF\x00", "\xFF\xFF\x00\x00\x00\xFF\xFF\xFF",
+        "\xFF\xFF\x00\x00\xFF\x00\x00\x00", "\xFF\xFF\x00\x00\xFF\x00\x00\xFF",
+        "\xFF\xFF\x00\x00\xFF\x00\xFF\x00", "\xFF\xFF\x00\x00\xFF\x00\xFF\xFF",
+        "\xFF\xFF\x00\x00\xFF\xFF\x00\x00", "\xFF\xFF\x00\x00\xFF\xFF\x00\xFF",
+        "\xFF\xFF\x00\x00\xFF\xFF\xFF\x00", "\xFF\xFF\x00\x00\xFF\xFF\xFF\xFF",
+        "\xFF\xFF\x00\xFF\x00\x00\x00\x00", "\xFF\xFF\x00\xFF\x00\x00\x00\xFF",
+        "\xFF\xFF\x00\xFF\x00\x00\xFF\x00", "\xFF\xFF\x00\xFF\x00\x00\xFF\xFF",
+        "\xFF\xFF\x00\xFF\x00\xFF\x00\x00", "\xFF\xFF\x00\xFF\x00\xFF\x00\xFF",
+        "\xFF\xFF\x00\xFF\x00\xFF\xFF\x00", "\xFF\xFF\x00\xFF\x00\xFF\xFF\xFF",
+        "\xFF\xFF\x00\xFF\xFF\x00\x00\x00", "\xFF\xFF\x00\xFF\xFF\x00\x00\xFF",
+        "\xFF\xFF\x00\xFF\xFF\x00\xFF\x00", "\xFF\xFF\x00\xFF\xFF\x00\xFF\xFF",
+        "\xFF\xFF\x00\xFF\xFF\xFF\x00\x00", "\xFF\xFF\x00\xFF\xFF\xFF\x00\xFF",
+        "\xFF\xFF\x00\xFF\xFF\xFF\xFF\x00", "\xFF\xFF\x00\xFF\xFF\xFF\xFF\xFF",
+        "\xFF\xFF\xFF\x00\x00\x00\x00\x00", "\xFF\xFF\xFF\x00\x00\x00\x00\xFF",
+        "\xFF\xFF\xFF\x00\x00\x00\xFF\x00", "\xFF\xFF\xFF\x00\x00\x00\xFF\xFF",
+        "\xFF\xFF\xFF\x00\x00\xFF\x00\x00", "\xFF\xFF\xFF\x00\x00\xFF\x00\xFF",
+        "\xFF\xFF\xFF\x00\x00\xFF\xFF\x00", "\xFF\xFF\xFF\x00\x00\xFF\xFF\xFF",
+        "\xFF\xFF\xFF\x00\xFF\x00\x00\x00", "\xFF\xFF\xFF\x00\xFF\x00\x00\xFF",
+        "\xFF\xFF\xFF\x00\xFF\x00\xFF\x00", "\xFF\xFF\xFF\x00\xFF\x00\xFF\xFF",
+        "\xFF\xFF\xFF\x00\xFF\xFF\x00\x00", "\xFF\xFF\xFF\x00\xFF\xFF\x00\xFF",
+        "\xFF\xFF\xFF\x00\xFF\xFF\xFF\x00", "\xFF\xFF\xFF\x00\xFF\xFF\xFF\xFF",
+        "\xFF\xFF\xFF\xFF\x00\x00\x00\x00", "\xFF\xFF\xFF\xFF\x00\x00\x00\xFF",
+        "\xFF\xFF\xFF\xFF\x00\x00\xFF\x00", "\xFF\xFF\xFF\xFF\x00\x00\xFF\xFF",
+        "\xFF\xFF\xFF\xFF\x00\xFF\x00\x00", "\xFF\xFF\xFF\xFF\x00\xFF\x00\xFF",
+        "\xFF\xFF\xFF\xFF\x00\xFF\xFF\x00", "\xFF\xFF\xFF\xFF\x00\xFF\xFF\xFF",
+        "\xFF\xFF\xFF\xFF\xFF\x00\x00\x00", "\xFF\xFF\xFF\xFF\xFF\x00\x00\xFF",
+        "\xFF\xFF\xFF\xFF\xFF\x00\xFF\x00", "\xFF\xFF\xFF\xFF\xFF\x00\xFF\xFF",
+        "\xFF\xFF\xFF\xFF\xFF\xFF\x00\x00", "\xFF\xFF\xFF\xFF\xFF\xFF\x00\xFF",
+        "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\x00", "\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF"
+    ];
+
+    /**
+     * IP mapping helper table.
+     *
+     * Indexing this table with each source byte performs the initial bit permutation.
+     *
+     * @var array
+     * @access private
+     */
+    protected static $ipmap = [
+        0x00, 0x10, 0x01, 0x11, 0x20, 0x30, 0x21, 0x31,
+        0x02, 0x12, 0x03, 0x13, 0x22, 0x32, 0x23, 0x33,
+        0x40, 0x50, 0x41, 0x51, 0x60, 0x70, 0x61, 0x71,
+        0x42, 0x52, 0x43, 0x53, 0x62, 0x72, 0x63, 0x73,
+        0x04, 0x14, 0x05, 0x15, 0x24, 0x34, 0x25, 0x35,
+        0x06, 0x16, 0x07, 0x17, 0x26, 0x36, 0x27, 0x37,
+        0x44, 0x54, 0x45, 0x55, 0x64, 0x74, 0x65, 0x75,
+        0x46, 0x56, 0x47, 0x57, 0x66, 0x76, 0x67, 0x77,
+        0x80, 0x90, 0x81, 0x91, 0xA0, 0xB0, 0xA1, 0xB1,
+        0x82, 0x92, 0x83, 0x93, 0xA2, 0xB2, 0xA3, 0xB3,
+        0xC0, 0xD0, 0xC1, 0xD1, 0xE0, 0xF0, 0xE1, 0xF1,
+        0xC2, 0xD2, 0xC3, 0xD3, 0xE2, 0xF2, 0xE3, 0xF3,
+        0x84, 0x94, 0x85, 0x95, 0xA4, 0xB4, 0xA5, 0xB5,
+        0x86, 0x96, 0x87, 0x97, 0xA6, 0xB6, 0xA7, 0xB7,
+        0xC4, 0xD4, 0xC5, 0xD5, 0xE4, 0xF4, 0xE5, 0xF5,
+        0xC6, 0xD6, 0xC7, 0xD7, 0xE6, 0xF6, 0xE7, 0xF7,
+        0x08, 0x18, 0x09, 0x19, 0x28, 0x38, 0x29, 0x39,
+        0x0A, 0x1A, 0x0B, 0x1B, 0x2A, 0x3A, 0x2B, 0x3B,
+        0x48, 0x58, 0x49, 0x59, 0x68, 0x78, 0x69, 0x79,
+        0x4A, 0x5A, 0x4B, 0x5B, 0x6A, 0x7A, 0x6B, 0x7B,
+        0x0C, 0x1C, 0x0D, 0x1D, 0x2C, 0x3C, 0x2D, 0x3D,
+        0x0E, 0x1E, 0x0F, 0x1F, 0x2E, 0x3E, 0x2F, 0x3F,
+        0x4C, 0x5C, 0x4D, 0x5D, 0x6C, 0x7C, 0x6D, 0x7D,
+        0x4E, 0x5E, 0x4F, 0x5F, 0x6E, 0x7E, 0x6F, 0x7F,
+        0x88, 0x98, 0x89, 0x99, 0xA8, 0xB8, 0xA9, 0xB9,
+        0x8A, 0x9A, 0x8B, 0x9B, 0xAA, 0xBA, 0xAB, 0xBB,
+        0xC8, 0xD8, 0xC9, 0xD9, 0xE8, 0xF8, 0xE9, 0xF9,
+        0xCA, 0xDA, 0xCB, 0xDB, 0xEA, 0xFA, 0xEB, 0xFB,
+        0x8C, 0x9C, 0x8D, 0x9D, 0xAC, 0xBC, 0xAD, 0xBD,
+        0x8E, 0x9E, 0x8F, 0x9F, 0xAE, 0xBE, 0xAF, 0xBF,
+        0xCC, 0xDC, 0xCD, 0xDD, 0xEC, 0xFC, 0xED, 0xFD,
+        0xCE, 0xDE, 0xCF, 0xDF, 0xEE, 0xFE, 0xEF, 0xFF
+    ];
+
+    /**
+     * Inverse IP mapping helper table.
+     * Indexing this table with a byte value reverses the bit order.
+     *
+     * @var array
+     * @access private
+     */
+    protected static $invipmap = [
+        0x00, 0x80, 0x40, 0xC0, 0x20, 0xA0, 0x60, 0xE0,
+        0x10, 0x90, 0x50, 0xD0, 0x30, 0xB0, 0x70, 0xF0,
+        0x08, 0x88, 0x48, 0xC8, 0x28, 0xA8, 0x68, 0xE8,
+        0x18, 0x98, 0x58, 0xD8, 0x38, 0xB8, 0x78, 0xF8,
+        0x04, 0x84, 0x44, 0xC4, 0x24, 0xA4, 0x64, 0xE4,
+        0x14, 0x94, 0x54, 0xD4, 0x34, 0xB4, 0x74, 0xF4,
+        0x0C, 0x8C, 0x4C, 0xCC, 0x2C, 0xAC, 0x6C, 0xEC,
+        0x1C, 0x9C, 0x5C, 0xDC, 0x3C, 0xBC, 0x7C, 0xFC,
+        0x02, 0x82, 0x42, 0xC2, 0x22, 0xA2, 0x62, 0xE2,
+        0x12, 0x92, 0x52, 0xD2, 0x32, 0xB2, 0x72, 0xF2,
+        0x0A, 0x8A, 0x4A, 0xCA, 0x2A, 0xAA, 0x6A, 0xEA,
+        0x1A, 0x9A, 0x5A, 0xDA, 0x3A, 0xBA, 0x7A, 0xFA,
+        0x06, 0x86, 0x46, 0xC6, 0x26, 0xA6, 0x66, 0xE6,
+        0x16, 0x96, 0x56, 0xD6, 0x36, 0xB6, 0x76, 0xF6,
+        0x0E, 0x8E, 0x4E, 0xCE, 0x2E, 0xAE, 0x6E, 0xEE,
+        0x1E, 0x9E, 0x5E, 0xDE, 0x3E, 0xBE, 0x7E, 0xFE,
+        0x01, 0x81, 0x41, 0xC1, 0x21, 0xA1, 0x61, 0xE1,
+        0x11, 0x91, 0x51, 0xD1, 0x31, 0xB1, 0x71, 0xF1,
+        0x09, 0x89, 0x49, 0xC9, 0x29, 0xA9, 0x69, 0xE9,
+        0x19, 0x99, 0x59, 0xD9, 0x39, 0xB9, 0x79, 0xF9,
+        0x05, 0x85, 0x45, 0xC5, 0x25, 0xA5, 0x65, 0xE5,
+        0x15, 0x95, 0x55, 0xD5, 0x35, 0xB5, 0x75, 0xF5,
+        0x0D, 0x8D, 0x4D, 0xCD, 0x2D, 0xAD, 0x6D, 0xED,
+        0x1D, 0x9D, 0x5D, 0xDD, 0x3D, 0xBD, 0x7D, 0xFD,
+        0x03, 0x83, 0x43, 0xC3, 0x23, 0xA3, 0x63, 0xE3,
+        0x13, 0x93, 0x53, 0xD3, 0x33, 0xB3, 0x73, 0xF3,
+        0x0B, 0x8B, 0x4B, 0xCB, 0x2B, 0xAB, 0x6B, 0xEB,
+        0x1B, 0x9B, 0x5B, 0xDB, 0x3B, 0xBB, 0x7B, 0xFB,
+        0x07, 0x87, 0x47, 0xC7, 0x27, 0xA7, 0x67, 0xE7,
+        0x17, 0x97, 0x57, 0xD7, 0x37, 0xB7, 0x77, 0xF7,
+        0x0F, 0x8F, 0x4F, 0xCF, 0x2F, 0xAF, 0x6F, 0xEF,
+        0x1F, 0x9F, 0x5F, 0xDF, 0x3F, 0xBF, 0x7F, 0xFF
+    ];
+
+    /**
+     * Pre-permuted S-box1
+     *
+     * Each box ($sbox1-$sbox8) has been vectorized, then each value pre-permuted using the
+     * P table: concatenation can then be replaced by exclusive ORs.
+     *
+     * @var array
+     * @access private
+     */
+    protected static $sbox1 = [
+        0x00808200, 0x00000000, 0x00008000, 0x00808202,
+        0x00808002, 0x00008202, 0x00000002, 0x00008000,
+        0x00000200, 0x00808200, 0x00808202, 0x00000200,
+        0x00800202, 0x00808002, 0x00800000, 0x00000002,
+        0x00000202, 0x00800200, 0x00800200, 0x00008200,
+        0x00008200, 0x00808000, 0x00808000, 0x00800202,
+        0x00008002, 0x00800002, 0x00800002, 0x00008002,
+        0x00000000, 0x00000202, 0x00008202, 0x00800000,
+        0x00008000, 0x00808202, 0x00000002, 0x00808000,
+        0x00808200, 0x00800000, 0x00800000, 0x00000200,
+        0x00808002, 0x00008000, 0x00008200, 0x00800002,
+        0x00000200, 0x00000002, 0x00800202, 0x00008202,
+        0x00808202, 0x00008002, 0x00808000, 0x00800202,
+        0x00800002, 0x00000202, 0x00008202, 0x00808200,
+        0x00000202, 0x00800200, 0x00800200, 0x00000000,
+        0x00008002, 0x00008200, 0x00000000, 0x00808002
+    ];
+
+    /**
+     * Pre-permuted S-box2
+     *
+     * @var array
+     * @access private
+     */
+    protected static $sbox2 = [
+        0x40084010, 0x40004000, 0x00004000, 0x00084010,
+        0x00080000, 0x00000010, 0x40080010, 0x40004010,
+        0x40000010, 0x40084010, 0x40084000, 0x40000000,
+        0x40004000, 0x00080000, 0x00000010, 0x40080010,
+        0x00084000, 0x00080010, 0x40004010, 0x00000000,
+        0x40000000, 0x00004000, 0x00084010, 0x40080000,
+        0x00080010, 0x40000010, 0x00000000, 0x00084000,
+        0x00004010, 0x40084000, 0x40080000, 0x00004010,
+        0x00000000, 0x00084010, 0x40080010, 0x00080000,
+        0x40004010, 0x40080000, 0x40084000, 0x00004000,
+        0x40080000, 0x40004000, 0x00000010, 0x40084010,
+        0x00084010, 0x00000010, 0x00004000, 0x40000000,
+        0x00004010, 0x40084000, 0x00080000, 0x40000010,
+        0x00080010, 0x40004010, 0x40000010, 0x00080010,
+        0x00084000, 0x00000000, 0x40004000, 0x00004010,
+        0x40000000, 0x40080010, 0x40084010, 0x00084000
+    ];
+
+    /**
+     * Pre-permuted S-box3
+     *
+     * @var array
+     * @access private
+     */
+    protected static $sbox3 = [
+        0x00000104, 0x04010100, 0x00000000, 0x04010004,
+        0x04000100, 0x00000000, 0x00010104, 0x04000100,
+        0x00010004, 0x04000004, 0x04000004, 0x00010000,
+        0x04010104, 0x00010004, 0x04010000, 0x00000104,
+        0x04000000, 0x00000004, 0x04010100, 0x00000100,
+        0x00010100, 0x04010000, 0x04010004, 0x00010104,
+        0x04000104, 0x00010100, 0x00010000, 0x04000104,
+        0x00000004, 0x04010104, 0x00000100, 0x04000000,
+        0x04010100, 0x04000000, 0x00010004, 0x00000104,
+        0x00010000, 0x04010100, 0x04000100, 0x00000000,
+        0x00000100, 0x00010004, 0x04010104, 0x04000100,
+        0x04000004, 0x00000100, 0x00000000, 0x04010004,
+        0x04000104, 0x00010000, 0x04000000, 0x04010104,
+        0x00000004, 0x00010104, 0x00010100, 0x04000004,
+        0x04010000, 0x04000104, 0x00000104, 0x04010000,
+        0x00010104, 0x00000004, 0x04010004, 0x00010100
+    ];
+
+    /**
+     * Pre-permuted S-box4
+     *
+     * @var array
+     * @access private
+     */
+    protected static $sbox4 = [
+        0x80401000, 0x80001040, 0x80001040, 0x00000040,
+        0x00401040, 0x80400040, 0x80400000, 0x80001000,
+        0x00000000, 0x00401000, 0x00401000, 0x80401040,
+        0x80000040, 0x00000000, 0x00400040, 0x80400000,
+        0x80000000, 0x00001000, 0x00400000, 0x80401000,
+        0x00000040, 0x00400000, 0x80001000, 0x00001040,
+        0x80400040, 0x80000000, 0x00001040, 0x00400040,
+        0x00001000, 0x00401040, 0x80401040, 0x80000040,
+        0x00400040, 0x80400000, 0x00401000, 0x80401040,
+        0x80000040, 0x00000000, 0x00000000, 0x00401000,
+        0x00001040, 0x00400040, 0x80400040, 0x80000000,
+        0x80401000, 0x80001040, 0x80001040, 0x00000040,
+        0x80401040, 0x80000040, 0x80000000, 0x00001000,
+        0x80400000, 0x80001000, 0x00401040, 0x80400040,
+        0x80001000, 0x00001040, 0x00400000, 0x80401000,
+        0x00000040, 0x00400000, 0x00001000, 0x00401040
+    ];
+
+    /**
+     * Pre-permuted S-box5
+     *
+     * @var array
+     * @access private
+     */
+    protected static $sbox5 = [
+        0x00000080, 0x01040080, 0x01040000, 0x21000080,
+        0x00040000, 0x00000080, 0x20000000, 0x01040000,
+        0x20040080, 0x00040000, 0x01000080, 0x20040080,
+        0x21000080, 0x21040000, 0x00040080, 0x20000000,
+        0x01000000, 0x20040000, 0x20040000, 0x00000000,
+        0x20000080, 0x21040080, 0x21040080, 0x01000080,
+        0x21040000, 0x20000080, 0x00000000, 0x21000000,
+        0x01040080, 0x01000000, 0x21000000, 0x00040080,
+        0x00040000, 0x21000080, 0x00000080, 0x01000000,
+        0x20000000, 0x01040000, 0x21000080, 0x20040080,
+        0x01000080, 0x20000000, 0x21040000, 0x01040080,
+        0x20040080, 0x00000080, 0x01000000, 0x21040000,
+        0x21040080, 0x00040080, 0x21000000, 0x21040080,
+        0x01040000, 0x00000000, 0x20040000, 0x21000000,
+        0x00040080, 0x01000080, 0x20000080, 0x00040000,
+        0x00000000, 0x20040000, 0x01040080, 0x20000080
+    ];
+
+    /**
+     * Pre-permuted S-box6
+     *
+     * @var array
+     * @access private
+     */
+    protected static $sbox6 = [
+        0x10000008, 0x10200000, 0x00002000, 0x10202008,
+        0x10200000, 0x00000008, 0x10202008, 0x00200000,
+        0x10002000, 0x00202008, 0x00200000, 0x10000008,
+        0x00200008, 0x10002000, 0x10000000, 0x00002008,
+        0x00000000, 0x00200008, 0x10002008, 0x00002000,
+        0x00202000, 0x10002008, 0x00000008, 0x10200008,
+        0x10200008, 0x00000000, 0x00202008, 0x10202000,
+        0x00002008, 0x00202000, 0x10202000, 0x10000000,
+        0x10002000, 0x00000008, 0x10200008, 0x00202000,
+        0x10202008, 0x00200000, 0x00002008, 0x10000008,
+        0x00200000, 0x10002000, 0x10000000, 0x00002008,
+        0x10000008, 0x10202008, 0x00202000, 0x10200000,
+        0x00202008, 0x10202000, 0x00000000, 0x10200008,
+        0x00000008, 0x00002000, 0x10200000, 0x00202008,
+        0x00002000, 0x00200008, 0x10002008, 0x00000000,
+        0x10202000, 0x10000000, 0x00200008, 0x10002008
+    ];
+
+    /**
+     * Pre-permuted S-box7
+     *
+     * @var array
+     * @access private
+     */
+    protected static $sbox7 = [
+        0x00100000, 0x02100001, 0x02000401, 0x00000000,
+        0x00000400, 0x02000401, 0x00100401, 0x02100400,
+        0x02100401, 0x00100000, 0x00000000, 0x02000001,
+        0x00000001, 0x02000000, 0x02100001, 0x00000401,
+        0x02000400, 0x00100401, 0x00100001, 0x02000400,
+        0x02000001, 0x02100000, 0x02100400, 0x00100001,
+        0x02100000, 0x00000400, 0x00000401, 0x02100401,
+        0x00100400, 0x00000001, 0x02000000, 0x00100400,
+        0x02000000, 0x00100400, 0x00100000, 0x02000401,
+        0x02000401, 0x02100001, 0x02100001, 0x00000001,
+        0x00100001, 0x02000000, 0x02000400, 0x00100000,
+        0x02100400, 0x00000401, 0x00100401, 0x02100400,
+        0x00000401, 0x02000001, 0x02100401, 0x02100000,
+        0x00100400, 0x00000000, 0x00000001, 0x02100401,
+        0x00000000, 0x00100401, 0x02100000, 0x00000400,
+        0x02000001, 0x02000400, 0x00000400, 0x00100001
+    ];
+
+    /**
+     * Pre-permuted S-box8
+     *
+     * @var array
+     * @access private
+     */
+    protected static $sbox8 = [
+        0x08000820, 0x00000800, 0x00020000, 0x08020820,
+        0x08000000, 0x08000820, 0x00000020, 0x08000000,
+        0x00020020, 0x08020000, 0x08020820, 0x00020800,
+        0x08020800, 0x00020820, 0x00000800, 0x00000020,
+        0x08020000, 0x08000020, 0x08000800, 0x00000820,
+        0x00020800, 0x00020020, 0x08020020, 0x08020800,
+        0x00000820, 0x00000000, 0x00000000, 0x08020020,
+        0x08000020, 0x08000800, 0x00020820, 0x00020000,
+        0x00020820, 0x00020000, 0x08020800, 0x00000800,
+        0x00000020, 0x08020020, 0x00000800, 0x00020820,
+        0x08000800, 0x00000020, 0x08000020, 0x08020000,
+        0x08020020, 0x08000000, 0x00020000, 0x08000820,
+        0x00000000, 0x08020820, 0x00020020, 0x08000020,
+        0x08020000, 0x08000800, 0x08000820, 0x00000000,
+        0x08020820, 0x00020800, 0x00020800, 0x00000820,
+        0x00000820, 0x00020020, 0x08000000, 0x08020800
+    ];
+
+    /**
+     * Default Constructor.
+     *
+     * @param string $mode
+     * @access public
+     * @throws BadModeException if an invalid / unsupported mode is provided
+     */
+    public function __construct($mode)
+    {
+        parent::__construct($mode);
+
+        if ($this->mode == self::MODE_STREAM) {
+            throw new BadModeException('Block ciphers cannot be ran in stream mode');
+        }
+    }
+
+    /**
+     * Test for engine validity
+     *
+     * This is mainly just a wrapper to set things up for \phpseclib3\Crypt\Common\SymmetricKey::isValidEngine()
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::isValidEngine()
+     * @param int $engine
+     * @access protected
+     * @return bool
+     */
+    protected function isValidEngineHelper($engine)
+    {
+        if ($this->key_length_max == 8) {
+            if ($engine == self::ENGINE_OPENSSL) {
+                self::$cipher_name_openssl_ecb = 'des-ecb';
+                $this->cipher_name_openssl = 'des-' . $this->openssl_translate_mode();
+            }
+        }
+
+        return parent::isValidEngineHelper($engine);
+    }
+
+    /**
+     * Sets the key.
+     *
+     * Keys must be 64-bits long or 8 bytes long.
+     *
+     * DES also requires that every eighth bit be a parity bit, however, we'll ignore that.
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::setKey()
+     * @access public
+     * @param string $key
+     */
+    public function setKey($key)
+    {
+        if (!($this instanceof TripleDES) && strlen($key) != 8) {
+            throw new \LengthException('Key of size ' . strlen($key) . ' not supported by this algorithm. Only keys of size 8 are supported');
+        }
+
+        // Sets the key
+        parent::setKey($key);
+    }
+
+    /**
+     * Encrypts a block
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::encryptBlock()
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::encrypt()
+     * @see self::encrypt()
+     * @access private
+     * @param string $in
+     * @return string
+     */
+    protected function encryptBlock($in)
+    {
+        return $this->processBlock($in, self::ENCRYPT);
+    }
+
+    /**
+     * Decrypts a block
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::decryptBlock()
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::decrypt()
+     * @see self::decrypt()
+     * @access private
+     * @param string $in
+     * @return string
+     */
+    protected function decryptBlock($in)
+    {
+        return $this->processBlock($in, self::DECRYPT);
+    }
+
+    /**
+     * Encrypts or decrypts a 64-bit block
+     *
+     * $mode should be either self::ENCRYPT or self::DECRYPT.  See
+     * {@link http://en.wikipedia.org/wiki/Image:Feistel.png Feistel.png} to get a general
+     * idea of what this function does.
+     *
+     * @see self::encryptBlock()
+     * @see self::decryptBlock()
+     * @access private
+     * @param string $block
+     * @param int $mode
+     * @return string
+     */
+    private function processBlock($block, $mode)
+    {
+        static $sbox1, $sbox2, $sbox3, $sbox4, $sbox5, $sbox6, $sbox7, $sbox8, $shuffleip, $shuffleinvip;
+        if (!$sbox1) {
+            $sbox1 = array_map('intval', self::$sbox1);
+            $sbox2 = array_map('intval', self::$sbox2);
+            $sbox3 = array_map('intval', self::$sbox3);
+            $sbox4 = array_map('intval', self::$sbox4);
+            $sbox5 = array_map('intval', self::$sbox5);
+            $sbox6 = array_map('intval', self::$sbox6);
+            $sbox7 = array_map('intval', self::$sbox7);
+            $sbox8 = array_map('intval', self::$sbox8);
+            /* Merge $shuffle with $[inv]ipmap */
+            for ($i = 0; $i < 256; ++$i) {
+                $shuffleip[]    =  self::$shuffle[self::$ipmap[$i]];
+                $shuffleinvip[] =  self::$shuffle[self::$invipmap[$i]];
+            }
+        }
+
+        $keys  = $this->keys[$mode];
+        $ki    = -1;
+
+        // Do the initial IP permutation.
+        $t = unpack('Nl/Nr', $block);
+        list($l, $r) = [$t['l'], $t['r']];
+        $block = ($shuffleip[ $r        & 0xFF] & "\x80\x80\x80\x80\x80\x80\x80\x80") |
+                 ($shuffleip[($r >>  8) & 0xFF] & "\x40\x40\x40\x40\x40\x40\x40\x40") |
+                 ($shuffleip[($r >> 16) & 0xFF] & "\x20\x20\x20\x20\x20\x20\x20\x20") |
+                 ($shuffleip[($r >> 24) & 0xFF] & "\x10\x10\x10\x10\x10\x10\x10\x10") |
+                 ($shuffleip[ $l        & 0xFF] & "\x08\x08\x08\x08\x08\x08\x08\x08") |
+                 ($shuffleip[($l >>  8) & 0xFF] & "\x04\x04\x04\x04\x04\x04\x04\x04") |
+                 ($shuffleip[($l >> 16) & 0xFF] & "\x02\x02\x02\x02\x02\x02\x02\x02") |
+                 ($shuffleip[($l >> 24) & 0xFF] & "\x01\x01\x01\x01\x01\x01\x01\x01");
+
+        // Extract L0 and R0.
+        $t = unpack('Nl/Nr', $block);
+        list($l, $r) = [$t['l'], $t['r']];
+
+        for ($des_round = 0; $des_round < $this->des_rounds; ++$des_round) {
+            // Perform the 16 steps.
+            for ($i = 0; $i < 16; $i++) {
+                // start of "the Feistel (F) function" - see the following URL:
+                // http://en.wikipedia.org/wiki/Image:Data_Encryption_Standard_InfoBox_Diagram.png
+                // Merge key schedule.
+                $b1 = (($r >>  3) & 0x1FFFFFFF) ^ ($r << 29) ^ $keys[++$ki];
+                $b2 = (($r >> 31) & 0x00000001) ^ ($r <<  1) ^ $keys[++$ki];
+
+                // S-box indexing.
+                $t = $sbox1[($b1 >> 24) & 0x3F] ^ $sbox2[($b2 >> 24) & 0x3F] ^
+                     $sbox3[($b1 >> 16) & 0x3F] ^ $sbox4[($b2 >> 16) & 0x3F] ^
+                     $sbox5[($b1 >>  8) & 0x3F] ^ $sbox6[($b2 >>  8) & 0x3F] ^
+                     $sbox7[ $b1        & 0x3F] ^ $sbox8[ $b2        & 0x3F] ^ $l;
+                // end of "the Feistel (F) function"
+
+                $l = $r;
+                $r = $t;
+            }
+
+            // Last step should not permute L & R.
+            $t = $l;
+            $l = $r;
+            $r = $t;
+        }
+
+        // Perform the inverse IP permutation.
+        return ($shuffleinvip[($r >> 24) & 0xFF] & "\x80\x80\x80\x80\x80\x80\x80\x80") |
+               ($shuffleinvip[($l >> 24) & 0xFF] & "\x40\x40\x40\x40\x40\x40\x40\x40") |
+               ($shuffleinvip[($r >> 16) & 0xFF] & "\x20\x20\x20\x20\x20\x20\x20\x20") |
+               ($shuffleinvip[($l >> 16) & 0xFF] & "\x10\x10\x10\x10\x10\x10\x10\x10") |
+               ($shuffleinvip[($r >>  8) & 0xFF] & "\x08\x08\x08\x08\x08\x08\x08\x08") |
+               ($shuffleinvip[($l >>  8) & 0xFF] & "\x04\x04\x04\x04\x04\x04\x04\x04") |
+               ($shuffleinvip[ $r        & 0xFF] & "\x02\x02\x02\x02\x02\x02\x02\x02") |
+               ($shuffleinvip[ $l        & 0xFF] & "\x01\x01\x01\x01\x01\x01\x01\x01");
+    }
+
+    /**
+     * Creates the key schedule
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::setupKey()
+     * @access private
+     */
+    protected function setupKey()
+    {
+        if (isset($this->kl['key']) && $this->key === $this->kl['key'] && $this->des_rounds === $this->kl['des_rounds']) {
+            // already expanded
+            return;
+        }
+        $this->kl = ['key' => $this->key, 'des_rounds' => $this->des_rounds];
+
+        static $shifts = [ // number of key bits shifted per round
+            1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1
+        ];
+
+        static $pc1map = [
+            0x00, 0x00, 0x08, 0x08, 0x04, 0x04, 0x0C, 0x0C,
+            0x02, 0x02, 0x0A, 0x0A, 0x06, 0x06, 0x0E, 0x0E,
+            0x10, 0x10, 0x18, 0x18, 0x14, 0x14, 0x1C, 0x1C,
+            0x12, 0x12, 0x1A, 0x1A, 0x16, 0x16, 0x1E, 0x1E,
+            0x20, 0x20, 0x28, 0x28, 0x24, 0x24, 0x2C, 0x2C,
+            0x22, 0x22, 0x2A, 0x2A, 0x26, 0x26, 0x2E, 0x2E,
+            0x30, 0x30, 0x38, 0x38, 0x34, 0x34, 0x3C, 0x3C,
+            0x32, 0x32, 0x3A, 0x3A, 0x36, 0x36, 0x3E, 0x3E,
+            0x40, 0x40, 0x48, 0x48, 0x44, 0x44, 0x4C, 0x4C,
+            0x42, 0x42, 0x4A, 0x4A, 0x46, 0x46, 0x4E, 0x4E,
+            0x50, 0x50, 0x58, 0x58, 0x54, 0x54, 0x5C, 0x5C,
+            0x52, 0x52, 0x5A, 0x5A, 0x56, 0x56, 0x5E, 0x5E,
+            0x60, 0x60, 0x68, 0x68, 0x64, 0x64, 0x6C, 0x6C,
+            0x62, 0x62, 0x6A, 0x6A, 0x66, 0x66, 0x6E, 0x6E,
+            0x70, 0x70, 0x78, 0x78, 0x74, 0x74, 0x7C, 0x7C,
+            0x72, 0x72, 0x7A, 0x7A, 0x76, 0x76, 0x7E, 0x7E,
+            0x80, 0x80, 0x88, 0x88, 0x84, 0x84, 0x8C, 0x8C,
+            0x82, 0x82, 0x8A, 0x8A, 0x86, 0x86, 0x8E, 0x8E,
+            0x90, 0x90, 0x98, 0x98, 0x94, 0x94, 0x9C, 0x9C,
+            0x92, 0x92, 0x9A, 0x9A, 0x96, 0x96, 0x9E, 0x9E,
+            0xA0, 0xA0, 0xA8, 0xA8, 0xA4, 0xA4, 0xAC, 0xAC,
+            0xA2, 0xA2, 0xAA, 0xAA, 0xA6, 0xA6, 0xAE, 0xAE,
+            0xB0, 0xB0, 0xB8, 0xB8, 0xB4, 0xB4, 0xBC, 0xBC,
+            0xB2, 0xB2, 0xBA, 0xBA, 0xB6, 0xB6, 0xBE, 0xBE,
+            0xC0, 0xC0, 0xC8, 0xC8, 0xC4, 0xC4, 0xCC, 0xCC,
+            0xC2, 0xC2, 0xCA, 0xCA, 0xC6, 0xC6, 0xCE, 0xCE,
+            0xD0, 0xD0, 0xD8, 0xD8, 0xD4, 0xD4, 0xDC, 0xDC,
+            0xD2, 0xD2, 0xDA, 0xDA, 0xD6, 0xD6, 0xDE, 0xDE,
+            0xE0, 0xE0, 0xE8, 0xE8, 0xE4, 0xE4, 0xEC, 0xEC,
+            0xE2, 0xE2, 0xEA, 0xEA, 0xE6, 0xE6, 0xEE, 0xEE,
+            0xF0, 0xF0, 0xF8, 0xF8, 0xF4, 0xF4, 0xFC, 0xFC,
+            0xF2, 0xF2, 0xFA, 0xFA, 0xF6, 0xF6, 0xFE, 0xFE
+        ];
+
+        // Mapping tables for the PC-2 transformation.
+        static $pc2mapc1 = [
+            0x00000000, 0x00000400, 0x00200000, 0x00200400,
+            0x00000001, 0x00000401, 0x00200001, 0x00200401,
+            0x02000000, 0x02000400, 0x02200000, 0x02200400,
+            0x02000001, 0x02000401, 0x02200001, 0x02200401
+        ];
+        static $pc2mapc2 = [
+            0x00000000, 0x00000800, 0x08000000, 0x08000800,
+            0x00010000, 0x00010800, 0x08010000, 0x08010800,
+            0x00000000, 0x00000800, 0x08000000, 0x08000800,
+            0x00010000, 0x00010800, 0x08010000, 0x08010800,
+            0x00000100, 0x00000900, 0x08000100, 0x08000900,
+            0x00010100, 0x00010900, 0x08010100, 0x08010900,
+            0x00000100, 0x00000900, 0x08000100, 0x08000900,
+            0x00010100, 0x00010900, 0x08010100, 0x08010900,
+            0x00000010, 0x00000810, 0x08000010, 0x08000810,
+            0x00010010, 0x00010810, 0x08010010, 0x08010810,
+            0x00000010, 0x00000810, 0x08000010, 0x08000810,
+            0x00010010, 0x00010810, 0x08010010, 0x08010810,
+            0x00000110, 0x00000910, 0x08000110, 0x08000910,
+            0x00010110, 0x00010910, 0x08010110, 0x08010910,
+            0x00000110, 0x00000910, 0x08000110, 0x08000910,
+            0x00010110, 0x00010910, 0x08010110, 0x08010910,
+            0x00040000, 0x00040800, 0x08040000, 0x08040800,
+            0x00050000, 0x00050800, 0x08050000, 0x08050800,
+            0x00040000, 0x00040800, 0x08040000, 0x08040800,
+            0x00050000, 0x00050800, 0x08050000, 0x08050800,
+            0x00040100, 0x00040900, 0x08040100, 0x08040900,
+            0x00050100, 0x00050900, 0x08050100, 0x08050900,
+            0x00040100, 0x00040900, 0x08040100, 0x08040900,
+            0x00050100, 0x00050900, 0x08050100, 0x08050900,
+            0x00040010, 0x00040810, 0x08040010, 0x08040810,
+            0x00050010, 0x00050810, 0x08050010, 0x08050810,
+            0x00040010, 0x00040810, 0x08040010, 0x08040810,
+            0x00050010, 0x00050810, 0x08050010, 0x08050810,
+            0x00040110, 0x00040910, 0x08040110, 0x08040910,
+            0x00050110, 0x00050910, 0x08050110, 0x08050910,
+            0x00040110, 0x00040910, 0x08040110, 0x08040910,
+            0x00050110, 0x00050910, 0x08050110, 0x08050910,
+            0x01000000, 0x01000800, 0x09000000, 0x09000800,
+            0x01010000, 0x01010800, 0x09010000, 0x09010800,
+            0x01000000, 0x01000800, 0x09000000, 0x09000800,
+            0x01010000, 0x01010800, 0x09010000, 0x09010800,
+            0x01000100, 0x01000900, 0x09000100, 0x09000900,
+            0x01010100, 0x01010900, 0x09010100, 0x09010900,
+            0x01000100, 0x01000900, 0x09000100, 0x09000900,
+            0x01010100, 0x01010900, 0x09010100, 0x09010900,
+            0x01000010, 0x01000810, 0x09000010, 0x09000810,
+            0x01010010, 0x01010810, 0x09010010, 0x09010810,
+            0x01000010, 0x01000810, 0x09000010, 0x09000810,
+            0x01010010, 0x01010810, 0x09010010, 0x09010810,
+            0x01000110, 0x01000910, 0x09000110, 0x09000910,
+            0x01010110, 0x01010910, 0x09010110, 0x09010910,
+            0x01000110, 0x01000910, 0x09000110, 0x09000910,
+            0x01010110, 0x01010910, 0x09010110, 0x09010910,
+            0x01040000, 0x01040800, 0x09040000, 0x09040800,
+            0x01050000, 0x01050800, 0x09050000, 0x09050800,
+            0x01040000, 0x01040800, 0x09040000, 0x09040800,
+            0x01050000, 0x01050800, 0x09050000, 0x09050800,
+            0x01040100, 0x01040900, 0x09040100, 0x09040900,
+            0x01050100, 0x01050900, 0x09050100, 0x09050900,
+            0x01040100, 0x01040900, 0x09040100, 0x09040900,
+            0x01050100, 0x01050900, 0x09050100, 0x09050900,
+            0x01040010, 0x01040810, 0x09040010, 0x09040810,
+            0x01050010, 0x01050810, 0x09050010, 0x09050810,
+            0x01040010, 0x01040810, 0x09040010, 0x09040810,
+            0x01050010, 0x01050810, 0x09050010, 0x09050810,
+            0x01040110, 0x01040910, 0x09040110, 0x09040910,
+            0x01050110, 0x01050910, 0x09050110, 0x09050910,
+            0x01040110, 0x01040910, 0x09040110, 0x09040910,
+            0x01050110, 0x01050910, 0x09050110, 0x09050910
+        ];
+        static $pc2mapc3 = [
+            0x00000000, 0x00000004, 0x00001000, 0x00001004,
+            0x00000000, 0x00000004, 0x00001000, 0x00001004,
+            0x10000000, 0x10000004, 0x10001000, 0x10001004,
+            0x10000000, 0x10000004, 0x10001000, 0x10001004,
+            0x00000020, 0x00000024, 0x00001020, 0x00001024,
+            0x00000020, 0x00000024, 0x00001020, 0x00001024,
+            0x10000020, 0x10000024, 0x10001020, 0x10001024,
+            0x10000020, 0x10000024, 0x10001020, 0x10001024,
+            0x00080000, 0x00080004, 0x00081000, 0x00081004,
+            0x00080000, 0x00080004, 0x00081000, 0x00081004,
+            0x10080000, 0x10080004, 0x10081000, 0x10081004,
+            0x10080000, 0x10080004, 0x10081000, 0x10081004,
+            0x00080020, 0x00080024, 0x00081020, 0x00081024,
+            0x00080020, 0x00080024, 0x00081020, 0x00081024,
+            0x10080020, 0x10080024, 0x10081020, 0x10081024,
+            0x10080020, 0x10080024, 0x10081020, 0x10081024,
+            0x20000000, 0x20000004, 0x20001000, 0x20001004,
+            0x20000000, 0x20000004, 0x20001000, 0x20001004,
+            0x30000000, 0x30000004, 0x30001000, 0x30001004,
+            0x30000000, 0x30000004, 0x30001000, 0x30001004,
+            0x20000020, 0x20000024, 0x20001020, 0x20001024,
+            0x20000020, 0x20000024, 0x20001020, 0x20001024,
+            0x30000020, 0x30000024, 0x30001020, 0x30001024,
+            0x30000020, 0x30000024, 0x30001020, 0x30001024,
+            0x20080000, 0x20080004, 0x20081000, 0x20081004,
+            0x20080000, 0x20080004, 0x20081000, 0x20081004,
+            0x30080000, 0x30080004, 0x30081000, 0x30081004,
+            0x30080000, 0x30080004, 0x30081000, 0x30081004,
+            0x20080020, 0x20080024, 0x20081020, 0x20081024,
+            0x20080020, 0x20080024, 0x20081020, 0x20081024,
+            0x30080020, 0x30080024, 0x30081020, 0x30081024,
+            0x30080020, 0x30080024, 0x30081020, 0x30081024,
+            0x00000002, 0x00000006, 0x00001002, 0x00001006,
+            0x00000002, 0x00000006, 0x00001002, 0x00001006,
+            0x10000002, 0x10000006, 0x10001002, 0x10001006,
+            0x10000002, 0x10000006, 0x10001002, 0x10001006,
+            0x00000022, 0x00000026, 0x00001022, 0x00001026,
+            0x00000022, 0x00000026, 0x00001022, 0x00001026,
+            0x10000022, 0x10000026, 0x10001022, 0x10001026,
+            0x10000022, 0x10000026, 0x10001022, 0x10001026,
+            0x00080002, 0x00080006, 0x00081002, 0x00081006,
+            0x00080002, 0x00080006, 0x00081002, 0x00081006,
+            0x10080002, 0x10080006, 0x10081002, 0x10081006,
+            0x10080002, 0x10080006, 0x10081002, 0x10081006,
+            0x00080022, 0x00080026, 0x00081022, 0x00081026,
+            0x00080022, 0x00080026, 0x00081022, 0x00081026,
+            0x10080022, 0x10080026, 0x10081022, 0x10081026,
+            0x10080022, 0x10080026, 0x10081022, 0x10081026,
+            0x20000002, 0x20000006, 0x20001002, 0x20001006,
+            0x20000002, 0x20000006, 0x20001002, 0x20001006,
+            0x30000002, 0x30000006, 0x30001002, 0x30001006,
+            0x30000002, 0x30000006, 0x30001002, 0x30001006,
+            0x20000022, 0x20000026, 0x20001022, 0x20001026,
+            0x20000022, 0x20000026, 0x20001022, 0x20001026,
+            0x30000022, 0x30000026, 0x30001022, 0x30001026,
+            0x30000022, 0x30000026, 0x30001022, 0x30001026,
+            0x20080002, 0x20080006, 0x20081002, 0x20081006,
+            0x20080002, 0x20080006, 0x20081002, 0x20081006,
+            0x30080002, 0x30080006, 0x30081002, 0x30081006,
+            0x30080002, 0x30080006, 0x30081002, 0x30081006,
+            0x20080022, 0x20080026, 0x20081022, 0x20081026,
+            0x20080022, 0x20080026, 0x20081022, 0x20081026,
+            0x30080022, 0x30080026, 0x30081022, 0x30081026,
+            0x30080022, 0x30080026, 0x30081022, 0x30081026
+        ];
+        static $pc2mapc4 = [
+            0x00000000, 0x00100000, 0x00000008, 0x00100008,
+            0x00000200, 0x00100200, 0x00000208, 0x00100208,
+            0x00000000, 0x00100000, 0x00000008, 0x00100008,
+            0x00000200, 0x00100200, 0x00000208, 0x00100208,
+            0x04000000, 0x04100000, 0x04000008, 0x04100008,
+            0x04000200, 0x04100200, 0x04000208, 0x04100208,
+            0x04000000, 0x04100000, 0x04000008, 0x04100008,
+            0x04000200, 0x04100200, 0x04000208, 0x04100208,
+            0x00002000, 0x00102000, 0x00002008, 0x00102008,
+            0x00002200, 0x00102200, 0x00002208, 0x00102208,
+            0x00002000, 0x00102000, 0x00002008, 0x00102008,
+            0x00002200, 0x00102200, 0x00002208, 0x00102208,
+            0x04002000, 0x04102000, 0x04002008, 0x04102008,
+            0x04002200, 0x04102200, 0x04002208, 0x04102208,
+            0x04002000, 0x04102000, 0x04002008, 0x04102008,
+            0x04002200, 0x04102200, 0x04002208, 0x04102208,
+            0x00000000, 0x00100000, 0x00000008, 0x00100008,
+            0x00000200, 0x00100200, 0x00000208, 0x00100208,
+            0x00000000, 0x00100000, 0x00000008, 0x00100008,
+            0x00000200, 0x00100200, 0x00000208, 0x00100208,
+            0x04000000, 0x04100000, 0x04000008, 0x04100008,
+            0x04000200, 0x04100200, 0x04000208, 0x04100208,
+            0x04000000, 0x04100000, 0x04000008, 0x04100008,
+            0x04000200, 0x04100200, 0x04000208, 0x04100208,
+            0x00002000, 0x00102000, 0x00002008, 0x00102008,
+            0x00002200, 0x00102200, 0x00002208, 0x00102208,
+            0x00002000, 0x00102000, 0x00002008, 0x00102008,
+            0x00002200, 0x00102200, 0x00002208, 0x00102208,
+            0x04002000, 0x04102000, 0x04002008, 0x04102008,
+            0x04002200, 0x04102200, 0x04002208, 0x04102208,
+            0x04002000, 0x04102000, 0x04002008, 0x04102008,
+            0x04002200, 0x04102200, 0x04002208, 0x04102208,
+            0x00020000, 0x00120000, 0x00020008, 0x00120008,
+            0x00020200, 0x00120200, 0x00020208, 0x00120208,
+            0x00020000, 0x00120000, 0x00020008, 0x00120008,
+            0x00020200, 0x00120200, 0x00020208, 0x00120208,
+            0x04020000, 0x04120000, 0x04020008, 0x04120008,
+            0x04020200, 0x04120200, 0x04020208, 0x04120208,
+            0x04020000, 0x04120000, 0x04020008, 0x04120008,
+            0x04020200, 0x04120200, 0x04020208, 0x04120208,
+            0x00022000, 0x00122000, 0x00022008, 0x00122008,
+            0x00022200, 0x00122200, 0x00022208, 0x00122208,
+            0x00022000, 0x00122000, 0x00022008, 0x00122008,
+            0x00022200, 0x00122200, 0x00022208, 0x00122208,
+            0x04022000, 0x04122000, 0x04022008, 0x04122008,
+            0x04022200, 0x04122200, 0x04022208, 0x04122208,
+            0x04022000, 0x04122000, 0x04022008, 0x04122008,
+            0x04022200, 0x04122200, 0x04022208, 0x04122208,
+            0x00020000, 0x00120000, 0x00020008, 0x00120008,
+            0x00020200, 0x00120200, 0x00020208, 0x00120208,
+            0x00020000, 0x00120000, 0x00020008, 0x00120008,
+            0x00020200, 0x00120200, 0x00020208, 0x00120208,
+            0x04020000, 0x04120000, 0x04020008, 0x04120008,
+            0x04020200, 0x04120200, 0x04020208, 0x04120208,
+            0x04020000, 0x04120000, 0x04020008, 0x04120008,
+            0x04020200, 0x04120200, 0x04020208, 0x04120208,
+            0x00022000, 0x00122000, 0x00022008, 0x00122008,
+            0x00022200, 0x00122200, 0x00022208, 0x00122208,
+            0x00022000, 0x00122000, 0x00022008, 0x00122008,
+            0x00022200, 0x00122200, 0x00022208, 0x00122208,
+            0x04022000, 0x04122000, 0x04022008, 0x04122008,
+            0x04022200, 0x04122200, 0x04022208, 0x04122208,
+            0x04022000, 0x04122000, 0x04022008, 0x04122008,
+            0x04022200, 0x04122200, 0x04022208, 0x04122208
+        ];
+        static $pc2mapd1 = [
+            0x00000000, 0x00000001, 0x08000000, 0x08000001,
+            0x00200000, 0x00200001, 0x08200000, 0x08200001,
+            0x00000002, 0x00000003, 0x08000002, 0x08000003,
+            0x00200002, 0x00200003, 0x08200002, 0x08200003
+        ];
+        static $pc2mapd2 = [
+            0x00000000, 0x00100000, 0x00000800, 0x00100800,
+            0x00000000, 0x00100000, 0x00000800, 0x00100800,
+            0x04000000, 0x04100000, 0x04000800, 0x04100800,
+            0x04000000, 0x04100000, 0x04000800, 0x04100800,
+            0x00000004, 0x00100004, 0x00000804, 0x00100804,
+            0x00000004, 0x00100004, 0x00000804, 0x00100804,
+            0x04000004, 0x04100004, 0x04000804, 0x04100804,
+            0x04000004, 0x04100004, 0x04000804, 0x04100804,
+            0x00000000, 0x00100000, 0x00000800, 0x00100800,
+            0x00000000, 0x00100000, 0x00000800, 0x00100800,
+            0x04000000, 0x04100000, 0x04000800, 0x04100800,
+            0x04000000, 0x04100000, 0x04000800, 0x04100800,
+            0x00000004, 0x00100004, 0x00000804, 0x00100804,
+            0x00000004, 0x00100004, 0x00000804, 0x00100804,
+            0x04000004, 0x04100004, 0x04000804, 0x04100804,
+            0x04000004, 0x04100004, 0x04000804, 0x04100804,
+            0x00000200, 0x00100200, 0x00000A00, 0x00100A00,
+            0x00000200, 0x00100200, 0x00000A00, 0x00100A00,
+            0x04000200, 0x04100200, 0x04000A00, 0x04100A00,
+            0x04000200, 0x04100200, 0x04000A00, 0x04100A00,
+            0x00000204, 0x00100204, 0x00000A04, 0x00100A04,
+            0x00000204, 0x00100204, 0x00000A04, 0x00100A04,
+            0x04000204, 0x04100204, 0x04000A04, 0x04100A04,
+            0x04000204, 0x04100204, 0x04000A04, 0x04100A04,
+            0x00000200, 0x00100200, 0x00000A00, 0x00100A00,
+            0x00000200, 0x00100200, 0x00000A00, 0x00100A00,
+            0x04000200, 0x04100200, 0x04000A00, 0x04100A00,
+            0x04000200, 0x04100200, 0x04000A00, 0x04100A00,
+            0x00000204, 0x00100204, 0x00000A04, 0x00100A04,
+            0x00000204, 0x00100204, 0x00000A04, 0x00100A04,
+            0x04000204, 0x04100204, 0x04000A04, 0x04100A04,
+            0x04000204, 0x04100204, 0x04000A04, 0x04100A04,
+            0x00020000, 0x00120000, 0x00020800, 0x00120800,
+            0x00020000, 0x00120000, 0x00020800, 0x00120800,
+            0x04020000, 0x04120000, 0x04020800, 0x04120800,
+            0x04020000, 0x04120000, 0x04020800, 0x04120800,
+            0x00020004, 0x00120004, 0x00020804, 0x00120804,
+            0x00020004, 0x00120004, 0x00020804, 0x00120804,
+            0x04020004, 0x04120004, 0x04020804, 0x04120804,
+            0x04020004, 0x04120004, 0x04020804, 0x04120804,
+            0x00020000, 0x00120000, 0x00020800, 0x00120800,
+            0x00020000, 0x00120000, 0x00020800, 0x00120800,
+            0x04020000, 0x04120000, 0x04020800, 0x04120800,
+            0x04020000, 0x04120000, 0x04020800, 0x04120800,
+            0x00020004, 0x00120004, 0x00020804, 0x00120804,
+            0x00020004, 0x00120004, 0x00020804, 0x00120804,
+            0x04020004, 0x04120004, 0x04020804, 0x04120804,
+            0x04020004, 0x04120004, 0x04020804, 0x04120804,
+            0x00020200, 0x00120200, 0x00020A00, 0x00120A00,
+            0x00020200, 0x00120200, 0x00020A00, 0x00120A00,
+            0x04020200, 0x04120200, 0x04020A00, 0x04120A00,
+            0x04020200, 0x04120200, 0x04020A00, 0x04120A00,
+            0x00020204, 0x00120204, 0x00020A04, 0x00120A04,
+            0x00020204, 0x00120204, 0x00020A04, 0x00120A04,
+            0x04020204, 0x04120204, 0x04020A04, 0x04120A04,
+            0x04020204, 0x04120204, 0x04020A04, 0x04120A04,
+            0x00020200, 0x00120200, 0x00020A00, 0x00120A00,
+            0x00020200, 0x00120200, 0x00020A00, 0x00120A00,
+            0x04020200, 0x04120200, 0x04020A00, 0x04120A00,
+            0x04020200, 0x04120200, 0x04020A00, 0x04120A00,
+            0x00020204, 0x00120204, 0x00020A04, 0x00120A04,
+            0x00020204, 0x00120204, 0x00020A04, 0x00120A04,
+            0x04020204, 0x04120204, 0x04020A04, 0x04120A04,
+            0x04020204, 0x04120204, 0x04020A04, 0x04120A04
+        ];
+        static $pc2mapd3 = [
+            0x00000000, 0x00010000, 0x02000000, 0x02010000,
+            0x00000020, 0x00010020, 0x02000020, 0x02010020,
+            0x00040000, 0x00050000, 0x02040000, 0x02050000,
+            0x00040020, 0x00050020, 0x02040020, 0x02050020,
+            0x00002000, 0x00012000, 0x02002000, 0x02012000,
+            0x00002020, 0x00012020, 0x02002020, 0x02012020,
+            0x00042000, 0x00052000, 0x02042000, 0x02052000,
+            0x00042020, 0x00052020, 0x02042020, 0x02052020,
+            0x00000000, 0x00010000, 0x02000000, 0x02010000,
+            0x00000020, 0x00010020, 0x02000020, 0x02010020,
+            0x00040000, 0x00050000, 0x02040000, 0x02050000,
+            0x00040020, 0x00050020, 0x02040020, 0x02050020,
+            0x00002000, 0x00012000, 0x02002000, 0x02012000,
+            0x00002020, 0x00012020, 0x02002020, 0x02012020,
+            0x00042000, 0x00052000, 0x02042000, 0x02052000,
+            0x00042020, 0x00052020, 0x02042020, 0x02052020,
+            0x00000010, 0x00010010, 0x02000010, 0x02010010,
+            0x00000030, 0x00010030, 0x02000030, 0x02010030,
+            0x00040010, 0x00050010, 0x02040010, 0x02050010,
+            0x00040030, 0x00050030, 0x02040030, 0x02050030,
+            0x00002010, 0x00012010, 0x02002010, 0x02012010,
+            0x00002030, 0x00012030, 0x02002030, 0x02012030,
+            0x00042010, 0x00052010, 0x02042010, 0x02052010,
+            0x00042030, 0x00052030, 0x02042030, 0x02052030,
+            0x00000010, 0x00010010, 0x02000010, 0x02010010,
+            0x00000030, 0x00010030, 0x02000030, 0x02010030,
+            0x00040010, 0x00050010, 0x02040010, 0x02050010,
+            0x00040030, 0x00050030, 0x02040030, 0x02050030,
+            0x00002010, 0x00012010, 0x02002010, 0x02012010,
+            0x00002030, 0x00012030, 0x02002030, 0x02012030,
+            0x00042010, 0x00052010, 0x02042010, 0x02052010,
+            0x00042030, 0x00052030, 0x02042030, 0x02052030,
+            0x20000000, 0x20010000, 0x22000000, 0x22010000,
+            0x20000020, 0x20010020, 0x22000020, 0x22010020,
+            0x20040000, 0x20050000, 0x22040000, 0x22050000,
+            0x20040020, 0x20050020, 0x22040020, 0x22050020,
+            0x20002000, 0x20012000, 0x22002000, 0x22012000,
+            0x20002020, 0x20012020, 0x22002020, 0x22012020,
+            0x20042000, 0x20052000, 0x22042000, 0x22052000,
+            0x20042020, 0x20052020, 0x22042020, 0x22052020,
+            0x20000000, 0x20010000, 0x22000000, 0x22010000,
+            0x20000020, 0x20010020, 0x22000020, 0x22010020,
+            0x20040000, 0x20050000, 0x22040000, 0x22050000,
+            0x20040020, 0x20050020, 0x22040020, 0x22050020,
+            0x20002000, 0x20012000, 0x22002000, 0x22012000,
+            0x20002020, 0x20012020, 0x22002020, 0x22012020,
+            0x20042000, 0x20052000, 0x22042000, 0x22052000,
+            0x20042020, 0x20052020, 0x22042020, 0x22052020,
+            0x20000010, 0x20010010, 0x22000010, 0x22010010,
+            0x20000030, 0x20010030, 0x22000030, 0x22010030,
+            0x20040010, 0x20050010, 0x22040010, 0x22050010,
+            0x20040030, 0x20050030, 0x22040030, 0x22050030,
+            0x20002010, 0x20012010, 0x22002010, 0x22012010,
+            0x20002030, 0x20012030, 0x22002030, 0x22012030,
+            0x20042010, 0x20052010, 0x22042010, 0x22052010,
+            0x20042030, 0x20052030, 0x22042030, 0x22052030,
+            0x20000010, 0x20010010, 0x22000010, 0x22010010,
+            0x20000030, 0x20010030, 0x22000030, 0x22010030,
+            0x20040010, 0x20050010, 0x22040010, 0x22050010,
+            0x20040030, 0x20050030, 0x22040030, 0x22050030,
+            0x20002010, 0x20012010, 0x22002010, 0x22012010,
+            0x20002030, 0x20012030, 0x22002030, 0x22012030,
+            0x20042010, 0x20052010, 0x22042010, 0x22052010,
+            0x20042030, 0x20052030, 0x22042030, 0x22052030
+        ];
+        static $pc2mapd4 = [
+            0x00000000, 0x00000400, 0x01000000, 0x01000400,
+            0x00000000, 0x00000400, 0x01000000, 0x01000400,
+            0x00000100, 0x00000500, 0x01000100, 0x01000500,
+            0x00000100, 0x00000500, 0x01000100, 0x01000500,
+            0x10000000, 0x10000400, 0x11000000, 0x11000400,
+            0x10000000, 0x10000400, 0x11000000, 0x11000400,
+            0x10000100, 0x10000500, 0x11000100, 0x11000500,
+            0x10000100, 0x10000500, 0x11000100, 0x11000500,
+            0x00080000, 0x00080400, 0x01080000, 0x01080400,
+            0x00080000, 0x00080400, 0x01080000, 0x01080400,
+            0x00080100, 0x00080500, 0x01080100, 0x01080500,
+            0x00080100, 0x00080500, 0x01080100, 0x01080500,
+            0x10080000, 0x10080400, 0x11080000, 0x11080400,
+            0x10080000, 0x10080400, 0x11080000, 0x11080400,
+            0x10080100, 0x10080500, 0x11080100, 0x11080500,
+            0x10080100, 0x10080500, 0x11080100, 0x11080500,
+            0x00000008, 0x00000408, 0x01000008, 0x01000408,
+            0x00000008, 0x00000408, 0x01000008, 0x01000408,
+            0x00000108, 0x00000508, 0x01000108, 0x01000508,
+            0x00000108, 0x00000508, 0x01000108, 0x01000508,
+            0x10000008, 0x10000408, 0x11000008, 0x11000408,
+            0x10000008, 0x10000408, 0x11000008, 0x11000408,
+            0x10000108, 0x10000508, 0x11000108, 0x11000508,
+            0x10000108, 0x10000508, 0x11000108, 0x11000508,
+            0x00080008, 0x00080408, 0x01080008, 0x01080408,
+            0x00080008, 0x00080408, 0x01080008, 0x01080408,
+            0x00080108, 0x00080508, 0x01080108, 0x01080508,
+            0x00080108, 0x00080508, 0x01080108, 0x01080508,
+            0x10080008, 0x10080408, 0x11080008, 0x11080408,
+            0x10080008, 0x10080408, 0x11080008, 0x11080408,
+            0x10080108, 0x10080508, 0x11080108, 0x11080508,
+            0x10080108, 0x10080508, 0x11080108, 0x11080508,
+            0x00001000, 0x00001400, 0x01001000, 0x01001400,
+            0x00001000, 0x00001400, 0x01001000, 0x01001400,
+            0x00001100, 0x00001500, 0x01001100, 0x01001500,
+            0x00001100, 0x00001500, 0x01001100, 0x01001500,
+            0x10001000, 0x10001400, 0x11001000, 0x11001400,
+            0x10001000, 0x10001400, 0x11001000, 0x11001400,
+            0x10001100, 0x10001500, 0x11001100, 0x11001500,
+            0x10001100, 0x10001500, 0x11001100, 0x11001500,
+            0x00081000, 0x00081400, 0x01081000, 0x01081400,
+            0x00081000, 0x00081400, 0x01081000, 0x01081400,
+            0x00081100, 0x00081500, 0x01081100, 0x01081500,
+            0x00081100, 0x00081500, 0x01081100, 0x01081500,
+            0x10081000, 0x10081400, 0x11081000, 0x11081400,
+            0x10081000, 0x10081400, 0x11081000, 0x11081400,
+            0x10081100, 0x10081500, 0x11081100, 0x11081500,
+            0x10081100, 0x10081500, 0x11081100, 0x11081500,
+            0x00001008, 0x00001408, 0x01001008, 0x01001408,
+            0x00001008, 0x00001408, 0x01001008, 0x01001408,
+            0x00001108, 0x00001508, 0x01001108, 0x01001508,
+            0x00001108, 0x00001508, 0x01001108, 0x01001508,
+            0x10001008, 0x10001408, 0x11001008, 0x11001408,
+            0x10001008, 0x10001408, 0x11001008, 0x11001408,
+            0x10001108, 0x10001508, 0x11001108, 0x11001508,
+            0x10001108, 0x10001508, 0x11001108, 0x11001508,
+            0x00081008, 0x00081408, 0x01081008, 0x01081408,
+            0x00081008, 0x00081408, 0x01081008, 0x01081408,
+            0x00081108, 0x00081508, 0x01081108, 0x01081508,
+            0x00081108, 0x00081508, 0x01081108, 0x01081508,
+            0x10081008, 0x10081408, 0x11081008, 0x11081408,
+            0x10081008, 0x10081408, 0x11081008, 0x11081408,
+            0x10081108, 0x10081508, 0x11081108, 0x11081508,
+            0x10081108, 0x10081508, 0x11081108, 0x11081508
+        ];
+
+        $keys = [];
+        for ($des_round = 0; $des_round < $this->des_rounds; ++$des_round) {
+            // pad the key and remove extra characters as appropriate.
+            $key = str_pad(substr($this->key, $des_round * 8, 8), 8, "\0");
+
+            // Perform the PC/1 transformation and compute C and D.
+            $t = unpack('Nl/Nr', $key);
+            list($l, $r) = [$t['l'], $t['r']];
+            $key = (self::$shuffle[$pc1map[ $r        & 0xFF]] & "\x80\x80\x80\x80\x80\x80\x80\x00") |
+                   (self::$shuffle[$pc1map[($r >>  8) & 0xFF]] & "\x40\x40\x40\x40\x40\x40\x40\x00") |
+                   (self::$shuffle[$pc1map[($r >> 16) & 0xFF]] & "\x20\x20\x20\x20\x20\x20\x20\x00") |
+                   (self::$shuffle[$pc1map[($r >> 24) & 0xFF]] & "\x10\x10\x10\x10\x10\x10\x10\x00") |
+                   (self::$shuffle[$pc1map[ $l        & 0xFF]] & "\x08\x08\x08\x08\x08\x08\x08\x00") |
+                   (self::$shuffle[$pc1map[($l >>  8) & 0xFF]] & "\x04\x04\x04\x04\x04\x04\x04\x00") |
+                   (self::$shuffle[$pc1map[($l >> 16) & 0xFF]] & "\x02\x02\x02\x02\x02\x02\x02\x00") |
+                   (self::$shuffle[$pc1map[($l >> 24) & 0xFF]] & "\x01\x01\x01\x01\x01\x01\x01\x00");
+            $key = unpack('Nc/Nd', $key);
+            $c = ( $key['c'] >> 4) & 0x0FFFFFFF;
+            $d = (($key['d'] >> 4) & 0x0FFFFFF0) | ($key['c'] & 0x0F);
+
+            $keys[$des_round] = [
+                self::ENCRYPT => [],
+                self::DECRYPT => array_fill(0, 32, 0)
+            ];
+            for ($i = 0, $ki = 31; $i < 16; ++$i, $ki-= 2) {
+                $c <<= $shifts[$i];
+                $c = ($c | ($c >> 28)) & 0x0FFFFFFF;
+                $d <<= $shifts[$i];
+                $d = ($d | ($d >> 28)) & 0x0FFFFFFF;
+
+                // Perform the PC-2 transformation.
+                $cp = $pc2mapc1[ $c >> 24        ] | $pc2mapc2[($c >> 16) & 0xFF] |
+                      $pc2mapc3[($c >>  8) & 0xFF] | $pc2mapc4[ $c        & 0xFF];
+                $dp = $pc2mapd1[ $d >> 24        ] | $pc2mapd2[($d >> 16) & 0xFF] |
+                      $pc2mapd3[($d >>  8) & 0xFF] | $pc2mapd4[ $d        & 0xFF];
+
+                // Reorder: odd bytes/even bytes. Push the result in key schedule.
+                $val1 = ( $cp        & 0xFF000000) | (($cp <<  8) & 0x00FF0000) |
+                        (($dp >> 16) & 0x0000FF00) | (($dp >>  8) & 0x000000FF);
+                $val2 = (($cp <<  8) & 0xFF000000) | (($cp << 16) & 0x00FF0000) |
+                        (($dp >>  8) & 0x0000FF00) | ( $dp        & 0x000000FF);
+                $keys[$des_round][self::ENCRYPT][       ] = $val1;
+                $keys[$des_round][self::DECRYPT][$ki - 1] = $val1;
+                $keys[$des_round][self::ENCRYPT][       ] = $val2;
+                $keys[$des_round][self::DECRYPT][$ki    ] = $val2;
+            }
+        }
+
+        switch ($this->des_rounds) {
+            case 3: // 3DES keys
+                $this->keys = [
+                    self::ENCRYPT => array_merge(
+                        $keys[0][self::ENCRYPT],
+                        $keys[1][self::DECRYPT],
+                        $keys[2][self::ENCRYPT]
+                    ),
+                    self::DECRYPT => array_merge(
+                        $keys[2][self::DECRYPT],
+                        $keys[1][self::ENCRYPT],
+                        $keys[0][self::DECRYPT]
+                    )
+                ];
+                break;
+            // case 1: // DES keys
+            default:
+                $this->keys = [
+                    self::ENCRYPT => $keys[0][self::ENCRYPT],
+                    self::DECRYPT => $keys[0][self::DECRYPT]
+                ];
+        }
+    }
+
+    /**
+     * Setup the performance-optimized function for de/encrypt()
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::setupInlineCrypt()
+     * @access private
+     */
+    protected function setupInlineCrypt()
+    {
+        // Engine configuration for:
+        // -  DES ($des_rounds == 1) or
+        // - 3DES ($des_rounds == 3)
+        $des_rounds = $this->des_rounds;
+
+        $init_crypt = 'static $sbox1, $sbox2, $sbox3, $sbox4, $sbox5, $sbox6, $sbox7, $sbox8, $shuffleip, $shuffleinvip;
+            if (!$sbox1) {
+                $sbox1 = array_map("intval", self::$sbox1);
+                $sbox2 = array_map("intval", self::$sbox2);
+                $sbox3 = array_map("intval", self::$sbox3);
+                $sbox4 = array_map("intval", self::$sbox4);
+                $sbox5 = array_map("intval", self::$sbox5);
+                $sbox6 = array_map("intval", self::$sbox6);
+                $sbox7 = array_map("intval", self::$sbox7);
+                $sbox8 = array_map("intval", self::$sbox8);'
+                /* Merge $shuffle with $[inv]ipmap */ . '
+                for ($i = 0; $i < 256; ++$i) {
+                    $shuffleip[]    =  self::$shuffle[self::$ipmap[$i]];
+                    $shuffleinvip[] =  self::$shuffle[self::$invipmap[$i]];
+                }
+            }
+        ';
+
+        $k = [
+            self::ENCRYPT => $this->keys[self::ENCRYPT],
+            self::DECRYPT => $this->keys[self::DECRYPT]
+        ];
+        $init_encrypt = '';
+        $init_decrypt = '';
+
+        // Creating code for en- and decryption.
+        $crypt_block = [];
+        foreach ([self::ENCRYPT, self::DECRYPT] as $c) {
+            /* Do the initial IP permutation. */
+            $crypt_block[$c] = '
+                $in = unpack("N*", $in);
+                $l  = $in[1];
+                $r  = $in[2];
+                $in = unpack("N*",
+                    ($shuffleip[ $r        & 0xFF] & "\x80\x80\x80\x80\x80\x80\x80\x80") |
+                    ($shuffleip[($r >>  8) & 0xFF] & "\x40\x40\x40\x40\x40\x40\x40\x40") |
+                    ($shuffleip[($r >> 16) & 0xFF] & "\x20\x20\x20\x20\x20\x20\x20\x20") |
+                    ($shuffleip[($r >> 24) & 0xFF] & "\x10\x10\x10\x10\x10\x10\x10\x10") |
+                    ($shuffleip[ $l        & 0xFF] & "\x08\x08\x08\x08\x08\x08\x08\x08") |
+                    ($shuffleip[($l >>  8) & 0xFF] & "\x04\x04\x04\x04\x04\x04\x04\x04") |
+                    ($shuffleip[($l >> 16) & 0xFF] & "\x02\x02\x02\x02\x02\x02\x02\x02") |
+                    ($shuffleip[($l >> 24) & 0xFF] & "\x01\x01\x01\x01\x01\x01\x01\x01")
+                );
+                ' . /* Extract L0 and R0 */ '
+                $l = $in[1];
+                $r = $in[2];
+            ';
+
+            $l = '$l';
+            $r = '$r';
+
+            // Perform DES or 3DES.
+            for ($ki = -1, $des_round = 0; $des_round < $des_rounds; ++$des_round) {
+                // Perform the 16 steps.
+                for ($i = 0; $i < 16; ++$i) {
+                    // start of "the Feistel (F) function" - see the following URL:
+                    // http://en.wikipedia.org/wiki/Image:Data_Encryption_Standard_InfoBox_Diagram.png
+                    // Merge key schedule.
+                    $crypt_block[$c].= '
+                        $b1 = ((' . $r . ' >>  3) & 0x1FFFFFFF)  ^ (' . $r . ' << 29) ^ ' . $k[$c][++$ki] . ';
+                        $b2 = ((' . $r . ' >> 31) & 0x00000001)  ^ (' . $r . ' <<  1) ^ ' . $k[$c][++$ki] . ';' .
+                        /* S-box indexing. */
+                        $l . ' = $sbox1[($b1 >> 24) & 0x3F] ^ $sbox2[($b2 >> 24) & 0x3F] ^
+                                 $sbox3[($b1 >> 16) & 0x3F] ^ $sbox4[($b2 >> 16) & 0x3F] ^
+                                 $sbox5[($b1 >>  8) & 0x3F] ^ $sbox6[($b2 >>  8) & 0x3F] ^
+                                 $sbox7[ $b1        & 0x3F] ^ $sbox8[ $b2        & 0x3F] ^ ' . $l . ';
+                    ';
+                    // end of "the Feistel (F) function"
+
+                    // swap L & R
+                    list($l, $r) = [$r, $l];
+                }
+                list($l, $r) = [$r, $l];
+            }
+
+            // Perform the inverse IP permutation.
+            $crypt_block[$c].= '$in =
+                ($shuffleinvip[($l >> 24) & 0xFF] & "\x80\x80\x80\x80\x80\x80\x80\x80") |
+                ($shuffleinvip[($r >> 24) & 0xFF] & "\x40\x40\x40\x40\x40\x40\x40\x40") |
+                ($shuffleinvip[($l >> 16) & 0xFF] & "\x20\x20\x20\x20\x20\x20\x20\x20") |
+                ($shuffleinvip[($r >> 16) & 0xFF] & "\x10\x10\x10\x10\x10\x10\x10\x10") |
+                ($shuffleinvip[($l >>  8) & 0xFF] & "\x08\x08\x08\x08\x08\x08\x08\x08") |
+                ($shuffleinvip[($r >>  8) & 0xFF] & "\x04\x04\x04\x04\x04\x04\x04\x04") |
+                ($shuffleinvip[ $l        & 0xFF] & "\x02\x02\x02\x02\x02\x02\x02\x02") |
+                ($shuffleinvip[ $r        & 0xFF] & "\x01\x01\x01\x01\x01\x01\x01\x01");
+            ';
+        }
+
+        // Creates the inline-crypt function
+        $this->inline_crypt = $this->createInlineCryptFunction(
+            [
+               'init_crypt'    => $init_crypt,
+               'init_encrypt'  => $init_encrypt,
+               'init_decrypt'  => $init_decrypt,
+               'encrypt_block' => $crypt_block[self::ENCRYPT],
+               'decrypt_block' => $crypt_block[self::DECRYPT]
+            ]
+        );
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/DH.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DH.php
new file mode 100644
index 000000000..9337200cf
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DH.php
@@ -0,0 +1,400 @@
+<?php
+
+/**
+ * Pure-PHP (EC)DH implementation
+ *
+ * PHP version 5
+ *
+ * Here's an example of how to compute a shared secret with this library:
+ * <code>
+ * <?php
+ * include 'vendor/autoload.php';
+ *
+ * $ourPrivate = \phpseclib3\Crypt\DH::createKey();
+ * $secret = DH::computeSecret($ourPrivate, $theirPublic);
+ *
+ * ?>
+ * </code>
+ *
+ * @category  Crypt
+ * @package   DH
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt;
+
+use phpseclib3\Exception\NoKeyLoadedException;
+use phpseclib3\Exception\UnsupportedOperationException;
+use phpseclib3\Crypt\Common\AsymmetricKey;
+use phpseclib3\Crypt\DH\PrivateKey;
+use phpseclib3\Crypt\DH\PublicKey;
+use phpseclib3\Crypt\DH\Parameters;
+use phpseclib3\Math\BigInteger;
+
+/**
+ * Pure-PHP (EC)DH implementation
+ *
+ * @package DH
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class DH extends AsymmetricKey
+{
+    /**
+     * Algorithm Name
+     *
+     * @var string
+     * @access private
+     */
+    const ALGORITHM = 'DH';
+
+    /**
+     * DH prime
+     *
+     * @var \phpseclib3\Math\BigInteger
+     * @access private
+     */
+    protected $prime;
+
+    /**
+     * DH Base
+     *
+     * Prime divisor of p-1
+     *
+     * @var \phpseclib3\Math\BigInteger
+     * @access private
+     */
+    protected $base;
+
+    /**
+     * Create DH parameters
+     *
+     * This method is a bit polymorphic. It can take any of the following:
+     *  - two BigInteger's (prime and base)
+     *  - an integer representing the size of the prime in bits (the base is assumed to be 2)
+     *  - a string (eg. diffie-hellman-group14-sha1)
+     *
+     * @access public
+     * @return \phpseclib3\Crypt\DH|bool
+     */
+    public static function createParameters(...$args)
+    {
+        $params = new Parameters;
+        if (count($args) == 2 && $args[0] instanceof BigInteger && $args[1] instanceof BigInteger) {
+            //if (!$args[0]->isPrime()) {
+            //    throw new \InvalidArgumentException('The first parameter should be a prime number');
+            //}
+            $params->prime = $args[0];
+            $params->base = $args[1];
+            return $params;
+        } elseif (count($args) == 1 && is_numeric($args[0])) {
+            $params->prime = BigInteger::randomPrime($args[0]);
+            $params->base = new BigInteger(2);
+            return $params;
+        } elseif (count($args) != 1 || !is_string($args[0])) {
+            throw new \InvalidArgumentException('Valid parameters are either: two BigInteger\'s (prime and base), a single integer (the length of the prime; base is assumed to be 2) or a string');
+        }
+        switch ($args[0]) {
+            // see http://tools.ietf.org/html/rfc2409#section-6.2 and
+            // http://tools.ietf.org/html/rfc2412, appendex E
+            case 'diffie-hellman-group1-sha1':
+                $prime = 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74' .
+                         '020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F1437' .
+                         '4FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED' .
+                         'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE65381FFFFFFFFFFFFFFFF';
+                break;
+            // see http://tools.ietf.org/html/rfc3526#section-3
+            case 'diffie-hellman-group14-sha1': // 2048-bit MODP Group
+            case 'diffie-hellman-group14-sha256':
+                $prime = 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74' .
+                         '020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F1437' .
+                         '4FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED' .
+                         'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3DC2007CB8A163BF05' .
+                         '98DA48361C55D39A69163FA8FD24CF5F83655D23DCA3AD961C62F356208552BB' .
+                         '9ED529077096966D670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B' .
+                         'E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9DE2BCBF695581718' .
+                         '3995497CEA956AE515D2261898FA051015728E5A8AACAA68FFFFFFFFFFFFFFFF';
+                break;
+            // see https://tools.ietf.org/html/rfc3526#section-4
+            case 'diffie-hellman-group15-sha512': // 3072-bit MODP Group
+                $prime = 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74' .
+                         '020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F1437' .
+                         '4FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED' .
+                         'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3DC2007CB8A163BF05' .
+                         '98DA48361C55D39A69163FA8FD24CF5F83655D23DCA3AD961C62F356208552BB' .
+                         '9ED529077096966D670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B' .
+                         'E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9DE2BCBF695581718' .
+                         '3995497CEA956AE515D2261898FA051015728E5A8AAAC42DAD33170D04507A33' .
+                         'A85521ABDF1CBA64ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7' .
+                         'ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6BF12FFA06D98A0864' .
+                         'D87602733EC86A64521F2B18177B200CBBE117577A615D6C770988C0BAD946E2' .
+                         '08E24FA074E5AB3143DB5BFCE0FD108E4B82D120A93AD2CAFFFFFFFFFFFFFFFF';
+                break;
+            // see https://tools.ietf.org/html/rfc3526#section-5
+            case 'diffie-hellman-group16-sha512': // 4096-bit MODP Group
+                $prime = 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74' .
+                         '020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F1437' .
+                         '4FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED' .
+                         'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3DC2007CB8A163BF05' .
+                         '98DA48361C55D39A69163FA8FD24CF5F83655D23DCA3AD961C62F356208552BB' .
+                         '9ED529077096966D670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B' .
+                         'E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9DE2BCBF695581718' .
+                         '3995497CEA956AE515D2261898FA051015728E5A8AAAC42DAD33170D04507A33' .
+                         'A85521ABDF1CBA64ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7' .
+                         'ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6BF12FFA06D98A0864' .
+                         'D87602733EC86A64521F2B18177B200CBBE117577A615D6C770988C0BAD946E2' .
+                         '08E24FA074E5AB3143DB5BFCE0FD108E4B82D120A92108011A723C12A787E6D7' .
+                         '88719A10BDBA5B2699C327186AF4E23C1A946834B6150BDA2583E9CA2AD44CE8' .
+                         'DBBBC2DB04DE8EF92E8EFC141FBECAA6287C59474E6BC05D99B2964FA090C3A2' .
+                         '233BA186515BE7ED1F612970CEE2D7AFB81BDD762170481CD0069127D5B05AA9' .
+                         '93B4EA988D8FDDC186FFB7DC90A6C08F4DF435C934063199FFFFFFFFFFFFFFFF';
+                break;
+            // see https://tools.ietf.org/html/rfc3526#section-6
+            case 'diffie-hellman-group17-sha512': // 6144-bit MODP Group
+                $prime = 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74' .
+                         '020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F1437' .
+                         '4FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED' .
+                         'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3DC2007CB8A163BF05' .
+                         '98DA48361C55D39A69163FA8FD24CF5F83655D23DCA3AD961C62F356208552BB' .
+                         '9ED529077096966D670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B' .
+                         'E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9DE2BCBF695581718' .
+                         '3995497CEA956AE515D2261898FA051015728E5A8AAAC42DAD33170D04507A33' .
+                         'A85521ABDF1CBA64ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7' .
+                         'ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6BF12FFA06D98A0864' .
+                         'D87602733EC86A64521F2B18177B200CBBE117577A615D6C770988C0BAD946E2' .
+                         '08E24FA074E5AB3143DB5BFCE0FD108E4B82D120A92108011A723C12A787E6D7' .
+                         '88719A10BDBA5B2699C327186AF4E23C1A946834B6150BDA2583E9CA2AD44CE8' .
+                         'DBBBC2DB04DE8EF92E8EFC141FBECAA6287C59474E6BC05D99B2964FA090C3A2' .
+                         '233BA186515BE7ED1F612970CEE2D7AFB81BDD762170481CD0069127D5B05AA9' .
+                         '93B4EA988D8FDDC186FFB7DC90A6C08F4DF435C93402849236C3FAB4D27C7026' .
+                         'C1D4DCB2602646DEC9751E763DBA37BDF8FF9406AD9E530EE5DB382F413001AE' .
+                         'B06A53ED9027D831179727B0865A8918DA3EDBEBCF9B14ED44CE6CBACED4BB1B' .
+                         'DB7F1447E6CC254B332051512BD7AF426FB8F401378CD2BF5983CA01C64B92EC' .
+                         'F032EA15D1721D03F482D7CE6E74FEF6D55E702F46980C82B5A84031900B1C9E' .
+                         '59E7C97FBEC7E8F323A97A7E36CC88BE0F1D45B7FF585AC54BD407B22B4154AA' .
+                         'CC8F6D7EBF48E1D814CC5ED20F8037E0A79715EEF29BE32806A1D58BB7C5DA76' .
+                         'F550AA3D8A1FBFF0EB19CCB1A313D55CDA56C9EC2EF29632387FE8D76E3C0468' .
+                         '043E8F663F4860EE12BF2D5B0B7474D6E694F91E6DCC4024FFFFFFFFFFFFFFFF';
+                break;
+            // see https://tools.ietf.org/html/rfc3526#section-7
+            case 'diffie-hellman-group18-sha512': // 8192-bit MODP Group
+                $prime = 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74' .
+                         '020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F1437' .
+                         '4FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED' .
+                         'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3DC2007CB8A163BF05' .
+                         '98DA48361C55D39A69163FA8FD24CF5F83655D23DCA3AD961C62F356208552BB' .
+                         '9ED529077096966D670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B' .
+                         'E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9DE2BCBF695581718' .
+                         '3995497CEA956AE515D2261898FA051015728E5A8AAAC42DAD33170D04507A33' .
+                         'A85521ABDF1CBA64ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7' .
+                         'ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6BF12FFA06D98A0864' .
+                         'D87602733EC86A64521F2B18177B200CBBE117577A615D6C770988C0BAD946E2' .
+                         '08E24FA074E5AB3143DB5BFCE0FD108E4B82D120A92108011A723C12A787E6D7' .
+                         '88719A10BDBA5B2699C327186AF4E23C1A946834B6150BDA2583E9CA2AD44CE8' .
+                         'DBBBC2DB04DE8EF92E8EFC141FBECAA6287C59474E6BC05D99B2964FA090C3A2' .
+                         '233BA186515BE7ED1F612970CEE2D7AFB81BDD762170481CD0069127D5B05AA9' .
+                         '93B4EA988D8FDDC186FFB7DC90A6C08F4DF435C93402849236C3FAB4D27C7026' .
+                         'C1D4DCB2602646DEC9751E763DBA37BDF8FF9406AD9E530EE5DB382F413001AE' .
+                         'B06A53ED9027D831179727B0865A8918DA3EDBEBCF9B14ED44CE6CBACED4BB1B' .
+                         'DB7F1447E6CC254B332051512BD7AF426FB8F401378CD2BF5983CA01C64B92EC' .
+                         'F032EA15D1721D03F482D7CE6E74FEF6D55E702F46980C82B5A84031900B1C9E' .
+                         '59E7C97FBEC7E8F323A97A7E36CC88BE0F1D45B7FF585AC54BD407B22B4154AA' .
+                         'CC8F6D7EBF48E1D814CC5ED20F8037E0A79715EEF29BE32806A1D58BB7C5DA76' .
+                         'F550AA3D8A1FBFF0EB19CCB1A313D55CDA56C9EC2EF29632387FE8D76E3C0468' .
+                         '043E8F663F4860EE12BF2D5B0B7474D6E694F91E6DBE115974A3926F12FEE5E4' .
+                         '38777CB6A932DF8CD8BEC4D073B931BA3BC832B68D9DD300741FA7BF8AFC47ED' .
+                         '2576F6936BA424663AAB639C5AE4F5683423B4742BF1C978238F16CBE39D652D' .
+                         'E3FDB8BEFC848AD922222E04A4037C0713EB57A81A23F0C73473FC646CEA306B' .
+                         '4BCBC8862F8385DDFA9D4B7FA2C087E879683303ED5BDD3A062B3CF5B3A278A6' .
+                         '6D2A13F83F44F82DDF310EE074AB6A364597E899A0255DC164F31CC50846851D' .
+                         'F9AB48195DED7EA1B1D510BD7EE74D73FAF36BC31ECFA268359046F4EB879F92' .
+                         '4009438B481C6CD7889A002ED5EE382BC9190DA6FC026E479558E4475677E9AA' .
+                         '9E3050E2765694DFC81F56E880B96E7160C980DD98EDD3DFFFFFFFFFFFFFFFFF';
+                break;
+            default:
+                throw new \InvalidArgumentException('Invalid named prime provided');
+        }
+
+        $params->prime = new BigInteger($prime, 16);
+        $params->base = new BigInteger(2);
+
+        return $params;
+    }
+
+    /**
+     * Create public / private key pair.
+     *
+     * The rationale for the second parameter is described in http://tools.ietf.org/html/rfc4419#section-6.2 :
+     *
+     * "To increase the speed of the key exchange, both client and server may
+     *  reduce the size of their private exponents.  It should be at least
+     *  twice as long as the key material that is generated from the shared
+     *  secret.  For more details, see the paper by van Oorschot and Wiener
+     *  [VAN-OORSCHOT]."
+     *
+     * $length is in bits
+     *
+     * @param Parameters $params
+     * @param int $length optional
+     * @access public
+     * @return DH\PrivateKey
+     */
+    public static function createKey(Parameters $params, $length = 0)
+    {
+        $one = new BigInteger(1);
+        if ($length) {
+            $max = $one->bitwise_leftShift($length);
+            $max = $max->subtract($one);
+        } else {
+            $max = $params->prime->subtract($one);
+        }
+
+        $key = new PrivateKey;
+        $key->prime = $params->prime;
+        $key->base = $params->base;
+        $key->privateKey = BigInteger::randomRange($one, $max);
+        $key->publicKey = $key->base->powMod($key->privateKey, $key->prime);
+        return $key;
+    }
+
+    /**
+     * Compute Shared Secret
+     *
+     * @param PrivateKey|EC $private
+     * @param PublicKey|BigInteger|string $public
+     * @access public
+     * @return mixed
+     */
+    public static function computeSecret($private, $public)
+    {
+        if ($private instanceof PrivateKey) { // DH\PrivateKey
+            switch (true) {
+                case $public instanceof PublicKey:
+                    if (!$private->prime->equals($public->prime) || !$private->base->equals($public->base)) {
+                        throw new \InvalidArgumentException('The public and private key do not share the same prime and / or base numbers');
+                    }
+                    return $public->publicKey->powMod($private->privateKey, $private->prime)->toBytes(true);
+                case is_string($public):
+                    $public = new BigInteger($public, -256);
+                case $public instanceof BigInteger:
+                    return $public->powMod($private->privateKey, $private->prime)->toBytes(true);
+                default:
+                    throw new \InvalidArgumentException('$public needs to be an instance of DH\PublicKey, a BigInteger or a string');
+            }
+        }
+
+        if ($private instanceof EC\PrivateKey) {
+            switch (true) {
+                case $public instanceof EC\PublicKey:
+                    $public = $public->getEncodedCoordinates();
+                case is_string($public):
+                    $point = $private->multiply($public);
+                    switch ($private->getCurve()) {
+                        case 'Curve25519':
+                        case 'Curve448':
+                            $secret = $point;
+                            break;
+                        default:
+                            // according to https://www.secg.org/sec1-v2.pdf#page=33 only X is returned
+                            $secret = substr($point, 1, (strlen($point) - 1) >> 1);
+                    }
+                    /*
+                    if (($secret[0] & "\x80") === "\x80") {
+                        $secret = "\0$secret";
+                    }
+                    */
+                    return $secret;
+                default:
+                    throw new \InvalidArgumentException('$public needs to be an instance of EC\PublicKey or a string (an encoded coordinate)');
+            }
+        }
+    }
+
+    /**
+     * Load the key
+     *
+     * @param string $key
+     * @param string $password optional
+     * @return AsymmetricKey
+     */
+    public static function load($key, $password = false)
+    {
+        try {
+            return EC::load($key, $password);
+        } catch (NoKeyLoadedException $e) {}
+
+        return parent::load($key, $password);
+    }
+
+    /**
+     * OnLoad Handler
+     *
+     * @return bool
+     * @access protected
+     * @param array $components
+     */
+    protected static function onLoad($components)
+    {
+        if (!isset($components['privateKey']) && !isset($components['publicKey'])) {
+            $new = new Parameters;
+        } else {
+            $new = isset($components['privateKey']) ?
+                new PrivateKey :
+                new PublicKey;
+        }
+
+        $new->prime = $components['prime'];
+        $new->base = $components['base'];
+
+        if (isset($components['privateKey'])) {
+            $new->privateKey = $components['privateKey'];
+        }
+        if (isset($components['publicKey'])) {
+            $new->publicKey = $components['publicKey'];
+        }
+
+        return $new;
+    }
+
+    /**
+     * Determines which hashing function should be used
+     *
+     * @access public
+     * @param string $hash
+     */
+    public function withHash($hash)
+    {
+        throw new UnsupportedOperationException('DH does not use a hash algorithm');
+    }
+
+    /**
+     * Returns the hash algorithm currently being used
+     *
+     * @access public
+     */
+    public function getHash()
+    {
+        throw new UnsupportedOperationException('DH does not use a hash algorithm');
+    }
+
+    /**
+     * Returns the parameters
+     *
+     * A public / private key is only returned if the currently loaded "key" contains an x or y
+     * value.
+     *
+     * @see self::getPublicKey()
+     * @access public
+     * @return mixed
+     */
+    public function getParameters()
+    {
+        $type = self::validatePlugin('Keys', 'PKCS1', 'saveParameters');
+
+        $key = $type::saveParameters($this->prime, $this->base);
+        return self::load($key, 'PKCS1');
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/DH/Formats/Keys/PKCS1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DH/Formats/Keys/PKCS1.php
new file mode 100644
index 000000000..368b187fe
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DH/Formats/Keys/PKCS1.php
@@ -0,0 +1,83 @@
+<?php
+
+/**
+ * "PKCS1" Formatted EC Key Handler
+ *
+ * PHP version 5
+ *
+ * Processes keys with the following headers:
+ *
+ * -----BEGIN DH PARAMETERS-----
+ *
+ * Technically, PKCS1 is for RSA keys, only, but we're using PKCS1 to describe
+ * DSA, whose format isn't really formally described anywhere, so might as well
+ * use it to describe this, too.
+ *
+ * @category  Crypt
+ * @package   DH
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\DH\Formats\Keys;
+
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Crypt\Common\Formats\Keys\PKCS1 as Progenitor;
+use phpseclib3\File\ASN1;
+use phpseclib3\File\ASN1\Maps;
+
+/**
+ * "PKCS1" Formatted DH Key Handler
+ *
+ * @package DH
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PKCS1 extends Progenitor
+{
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        $key = parent::load($key, $password);
+
+        $decoded = ASN1::decodeBER($key);
+        if (empty($decoded)) {
+            throw new \RuntimeException('Unable to decode BER');
+        }
+
+        $components = ASN1::asn1map($decoded[0], Maps\DHParameter::MAP);
+        if (!is_array($components)) {
+            throw new \RuntimeException('Unable to perform ASN1 mapping on parameters');
+        }
+
+        return $components;
+    }
+
+    /**
+     * Convert EC parameters to the appropriate format
+     *
+     * @access public
+     * @return string
+     */
+    public static function saveParameters(BigInteger $prime, BigInteger $base, array $options = [])
+    {
+        $params = [
+            'prime' => $prime,
+            'base' => $base
+        ];
+        $params = ASN1::encodeDER($params, Maps\DHParameter::MAP);
+
+        return "-----BEGIN DH PARAMETERS-----\r\n" .
+               chunk_split(base64_encode($params), 64) .
+               "-----END DH PARAMETERS-----\r\n";
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/DH/Formats/Keys/PKCS8.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DH/Formats/Keys/PKCS8.php
new file mode 100644
index 000000000..e69fcee6e
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DH/Formats/Keys/PKCS8.php
@@ -0,0 +1,157 @@
+<?php
+
+/**
+ * PKCS#8 Formatted DH Key Handler
+ *
+ * PHP version 5
+ *
+ * Processes keys with the following headers:
+ *
+ * -----BEGIN ENCRYPTED PRIVATE KEY-----
+ * -----BEGIN PRIVATE KEY-----
+ * -----BEGIN PUBLIC KEY-----
+ *
+ * @category  Crypt
+ * @package   DH
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\DH\Formats\Keys;
+
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Crypt\Common\Formats\Keys\PKCS8 as Progenitor;
+use phpseclib3\File\ASN1;
+use phpseclib3\File\ASN1\Maps;
+use phpseclib3\Common\Functions\Strings;
+
+/**
+ * PKCS#8 Formatted DH Key Handler
+ *
+ * @package DH
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PKCS8 extends Progenitor
+{
+    /**
+     * OID Name
+     *
+     * @var string
+     * @access private
+     */
+    const OID_NAME = 'dhKeyAgreement';
+
+    /**
+     * OID Value
+     *
+     * @var string
+     * @access private
+     */
+    const OID_VALUE = '1.2.840.113549.1.3.1';
+
+    /**
+     * Child OIDs loaded
+     *
+     * @var bool
+     * @access private
+     */
+    protected static $childOIDsLoaded = false;
+
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        if (!Strings::is_stringable($key)) {
+            throw new \UnexpectedValueException('Key should be a string - not a ' . gettype($key));
+        }
+
+        $isPublic = strpos($key, 'PUBLIC') !== false;
+
+        $key = parent::load($key, $password);
+
+        $type = isset($key['privateKey']) ? 'privateKey' : 'publicKey';
+
+        switch (true) {
+            case !$isPublic && $type == 'publicKey':
+                throw new \UnexpectedValueException('Human readable string claims non-public key but DER encoded string claims public key');
+            case $isPublic && $type == 'privateKey':
+                throw new \UnexpectedValueException('Human readable string claims public key but DER encoded string claims private key');
+        }
+
+        $decoded = ASN1::decodeBER($key[$type . 'Algorithm']['parameters']->element);
+        if (empty($decoded)) {
+            throw new \RuntimeException('Unable to decode BER of parameters');
+        }
+        $components = ASN1::asn1map($decoded[0], Maps\DHParameter::MAP);
+        if (!is_array($components)) {
+            throw new \RuntimeException('Unable to perform ASN1 mapping on parameters');
+        }
+
+        $decoded = ASN1::decodeBER($key[$type]);
+        switch (true) {
+            case empty($decoded):
+            case !is_array($decoded):
+            case !isset($decoded[0]['content']):
+            case !$decoded[0]['content'] instanceof BigInteger:
+                throw new \RuntimeException('Unable to decode BER of parameters');
+        }
+        $components[$type] = $decoded[0]['content'];
+
+        return $components;
+    }
+
+    /**
+     * Convert a private key to the appropriate format.
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $prime
+     * @param \phpseclib3\Math\BigInteger $base
+     * @param \phpseclib3\Math\BigInteger $privateKey
+     * @param \phpseclib3\Math\BigInteger $publicKey
+     * @param string $password optional
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePrivateKey(BigInteger $prime, BigInteger $base, BigInteger $privateKey, BigInteger $publicKey, $password = '', array $options = [])
+    {
+        $params = [
+            'prime' => $prime,
+            'base' => $base
+        ];
+        $params = ASN1::encodeDER($params, Maps\DHParameter::MAP);
+        $params = new ASN1\Element($params);
+        $key = ASN1::encodeDER($privateKey, ['type' => ASN1::TYPE_INTEGER]);
+        return self::wrapPrivateKey($key, [], $params, $password, $options);
+    }
+
+    /**
+     * Convert a public key to the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $prime
+     * @param \phpseclib3\Math\BigInteger $base
+     * @param \phpseclib3\Math\BigInteger $publicKey
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePublicKey(BigInteger $prime, BigInteger $base, BigInteger $publicKey, array $options = [])
+    {
+        $params = [
+            'prime' => $prime,
+            'base' => $base
+        ];
+        $params = ASN1::encodeDER($params, Maps\DHParameter::MAP);
+        $params = new ASN1\Element($params);
+        $key = ASN1::encodeDER($publicKey, ['type' => ASN1::TYPE_INTEGER]);
+        return self::wrapPublicKey($key, $params);
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/DH/Parameters.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DH/Parameters.php
new file mode 100644
index 000000000..d36283d03
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DH/Parameters.php
@@ -0,0 +1,40 @@
+<?php
+
+/**
+ * DH Parameters
+ *
+ * @category  Crypt
+ * @package   DH
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\DH;
+
+use phpseclib3\Crypt\DH;
+
+/**
+ * DH Parameters
+ *
+ * @package DH
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class Parameters extends DH
+{
+    /**
+     * Returns the parameters
+     *
+     * @param string $type
+     * @param array $options optional
+     * @return string
+     */
+    public function toString($type = 'PKCS1', array $options = [])
+    {
+        $type = self::validatePlugin('Keys', 'PKCS1', 'saveParameters');
+
+        return $type::saveParameters($this->prime, $this->base, $options);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/DH/PrivateKey.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DH/PrivateKey.php
new file mode 100644
index 000000000..8756b4197
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DH/PrivateKey.php
@@ -0,0 +1,82 @@
+<?php
+
+/**
+ * DH Private Key
+ *
+ * @category  Crypt
+ * @package   DH
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\DH;
+
+use phpseclib3\Crypt\DH;
+use phpseclib3\Crypt\Common;
+
+/**
+ * DH Private Key
+ *
+ * @package DH
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class PrivateKey extends DH
+{
+    use Common\Traits\PasswordProtected;
+
+    /**
+     * Private Key
+     *
+     * @var \phpseclib3\Math\BigInteger
+     * @access private
+     */
+    protected $privateKey;
+
+    /**
+     * Public Key
+     *
+     * @var \phpseclib3\Math\BigInteger
+     * @access private
+     */
+    protected $publicKey;
+
+    /**
+     * Returns the public key
+     *
+     * @access public
+     * @return DH
+     */
+    public function getPublicKey()
+    {
+        $type = self::validatePlugin('Keys', 'PKCS8', 'savePublicKey');
+
+        if (!isset($this->publicKey)) {
+            $this->publicKey = $this->base->powMod($this->privateKey, $this->prime);
+        }
+
+        $key = $type::savePublicKey($this->prime, $this->base, $this->publicKey);
+
+        return DH::loadFormat('PKCS8', $key);
+    }
+
+    /**
+     * Returns the private key
+     *
+     * @param string $type
+     * @param array $options optional
+     * @return string
+     */
+    public function toString($type, array $options = [])
+    {
+        $type = self::validatePlugin('Keys', $type, 'savePrivateKey');
+
+        if (!isset($this->publicKey)) {
+            $this->publicKey = $this->base->powMod($this->privateKey, $this->prime);
+        }
+
+        return $type::savePrivateKey($this->prime, $this->base, $this->privateKey, $this->publicKey, $this->password, $options);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/DH/PublicKey.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DH/PublicKey.php
new file mode 100644
index 000000000..9670e28a1
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DH/PublicKey.php
@@ -0,0 +1,53 @@
+<?php
+
+/**
+ * DH Public Key
+ *
+ * @category  Crypt
+ * @package   DH
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\DH;
+
+use phpseclib3\Crypt\DH;
+use phpseclib3\Crypt\Common;
+
+/**
+ * DH Public Key
+ *
+ * @package DH
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class PublicKey extends DH
+{
+    use Common\Traits\Fingerprint;
+
+    /**
+     * Returns the public key
+     *
+     * @param string $type
+     * @param array $options optional
+     * @return string
+     */
+    public function toString($type, array $options = [])
+    {
+        $type = self::validatePlugin('Keys', $type, 'savePublicKey');
+
+        return $type::savePublicKey($this->prime, $this->base, $this->publicKey, $options);
+    }
+
+    /**
+     * Returns the public key as a BigInteger
+     *
+     * @return \phpseclib3\Math\BigInteger
+     */
+    public function toBigInteger()
+    {
+        return $this->publicKey;
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA.php
new file mode 100644
index 000000000..b368d83f5
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA.php
@@ -0,0 +1,344 @@
+<?php
+
+/**
+ * Pure-PHP FIPS 186-4 compliant implementation of DSA.
+ *
+ * PHP version 5
+ *
+ * Here's an example of how to create signatures and verify signatures with this library:
+ * <code>
+ * <?php
+ * include 'vendor/autoload.php';
+ *
+ * $private = \phpseclib3\Crypt\DSA::createKey();
+ * $public = $private->getPublicKey();
+ *
+ * $plaintext = 'terrafrost';
+ *
+ * $signature = $private->sign($plaintext);
+ *
+ * echo $public->verify($plaintext, $signature) ? 'verified' : 'unverified';
+ * ?>
+ * </code>
+ *
+ * @category  Crypt
+ * @package   DSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt;
+
+use phpseclib3\Crypt\Common\AsymmetricKey;
+use phpseclib3\Crypt\DSA\PrivateKey;
+use phpseclib3\Crypt\DSA\PublicKey;
+use phpseclib3\Crypt\DSA\Parameters;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Exception\InsufficientSetupException;
+
+/**
+ * Pure-PHP FIPS 186-4 compliant implementation of DSA.
+ *
+ * @package DSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class DSA extends AsymmetricKey
+{
+    /**
+     * Algorithm Name
+     *
+     * @var string
+     * @access private
+     */
+    const ALGORITHM = 'DSA';
+
+    /**
+     * DSA Prime P
+     *
+     * @var \phpseclib3\Math\BigInteger
+     * @access private
+     */
+    protected $p;
+
+    /**
+     * DSA Group Order q
+     *
+     * Prime divisor of p-1
+     *
+     * @var \phpseclib3\Math\BigInteger
+     * @access private
+     */
+    protected $q;
+
+    /**
+     * DSA Group Generator G
+     *
+     * @var \phpseclib3\Math\BigInteger
+     * @access private
+     */
+    protected $g;
+
+    /**
+     * DSA public key value y
+     *
+     * @var \phpseclib3\Math\BigInteger
+     * @access private
+     */
+    protected $y;
+
+    /**
+     * Signature Format
+     *
+     * @var string
+     * @access private
+     */
+    protected $sigFormat;
+
+    /**
+     * Signature Format (Short)
+     *
+     * @var string
+     * @access private
+     */
+    protected $shortFormat;
+
+    /**
+     * Create DSA parameters
+     *
+     * @access public
+     * @param int $L
+     * @param int $N
+     * @return \phpseclib3\Crypt\DSA|bool
+     */
+    public static function createParameters($L = 2048, $N = 224)
+    {
+        self::initialize_static_variables();
+
+        if (!isset(self::$engines['PHP'])) {
+            self::useBestEngine();
+        }
+
+        switch (true) {
+            case $N == 160:
+            /*
+              in FIPS 186-1 and 186-2 N was fixed at 160 whereas K had an upper bound of 1024.
+              RFC 4253 (SSH Transport Layer Protocol) references FIPS 186-2 and as such most
+              SSH DSA implementations only support keys with an N of 160.
+              puttygen let's you set the size of L (but not the size of N) and uses 2048 as the
+              default L value. that's not really compliant with any of the FIPS standards, however,
+              for the purposes of maintaining compatibility with puttygen, we'll support it 
+            */
+            //case ($L >= 512 || $L <= 1024) && (($L & 0x3F) == 0) && $N == 160:
+            // FIPS 186-3 changed this as follows:
+            //case $L == 1024 && $N == 160:
+            case $L == 2048 && $N == 224:
+            case $L == 2048 && $N == 256:
+            case $L == 3072 && $N == 256:
+                break;
+            default:
+                throw new \InvalidArgumentException('Invalid values for N and L');
+        }
+
+        $two = new BigInteger(2);
+
+        $q = BigInteger::randomPrime($N);
+        $divisor = $q->multiply($two);
+
+        do {
+            $x = BigInteger::random($L);
+            list(, $c) = $x->divide($divisor);
+            $p = $x->subtract($c->subtract(self::$one));
+        } while ($p->getLength() != $L || !$p->isPrime());
+
+        $p_1 = $p->subtract(self::$one);
+        list($e) = $p_1->divide($q);
+
+        // quoting http://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.186-4.pdf#page=50 ,
+        // "h could be obtained from a random number generator or from a counter that
+        //  changes after each use". PuTTY (sshdssg.c) starts h off at 1 and increments
+        // it on each loop. wikipedia says "commonly h = 2 is used" so we'll just do that
+        $h = clone $two;
+        while (true) {
+            $g = $h->powMod($e, $p);
+            if (!$g->equals(self::$one)) {
+                break;
+            }
+            $h = $h->add(self::$one);
+        }
+
+        $dsa = new Parameters;
+        $dsa->p = $p;
+        $dsa->q = $q;
+        $dsa->g = $g;
+
+        return $dsa;
+    }
+
+    /**
+     * Create public / private key pair.
+     *
+     * This method is a bit polymorphic. It can take a DSA/Parameters object, L / N as two distinct parameters or
+     * no parameters (at which point L and N will be generated with this method)
+     *
+     * Returns the private key, from which the publickey can be extracted
+     *
+     * @param int[] ...$args
+     * @access public
+     * @return DSA\PrivateKey
+     */
+    public static function createKey(...$args)
+    {
+        self::initialize_static_variables();
+
+        if (!isset(self::$engines['PHP'])) {
+            self::useBestEngine();
+        }
+
+        if (count($args) == 2 && is_int($args[0]) && is_int($args[1])) {
+            $params = self::createParameters($args[0], $args[1]);
+        } else if (count($args) == 1 && $args[0] instanceof Parameters) {
+            $params = $args[0];
+        } else if (!count($args)) {
+            $params = self::createParameters();
+        } else {
+            throw new InsufficientSetupException('Valid parameters are either two integers (L and N), a single DSA object or no parameters at all.');
+        }
+
+        $private = new PrivateKey;
+        $private->p = $params->p;
+        $private->q = $params->q;
+        $private->g = $params->g;
+
+        $private->x = BigInteger::randomRange(self::$one, $private->q->subtract(self::$one));
+        $private->y = $private->g->powMod($private->x, $private->p);
+
+        //$public = clone $private;
+        //unset($public->x);
+
+        return $private
+            ->withHash($params->hash->getHash())
+            ->withSignatureFormat($params->shortFormat);
+    }
+
+    /**
+     * OnLoad Handler
+     *
+     * @return bool
+     * @access protected
+     * @param array $components
+     */
+    protected static function onLoad($components)
+    {
+        if (!isset(self::$engines['PHP'])) {
+            self::useBestEngine();
+        }
+
+        if (!isset($components['x']) && !isset($components['y'])) {
+            $new = new Parameters;
+        } else if (isset($components['x'])) {
+            $new = new PrivateKey;
+            $new->x = $components['x'];
+        } else {
+            $new = new PublicKey;
+        }
+
+        $new->p = $components['p'];
+        $new->q = $components['q'];
+        $new->g = $components['g'];
+
+        if (isset($components['y'])) {
+            $new->y = $components['y'];
+        }
+
+        return $new;
+    }
+
+    /**
+     * Constructor
+     *
+     * PublicKey and PrivateKey objects can only be created from abstract RSA class
+     */
+    protected function __construct()
+    {
+        $this->sigFormat = self::validatePlugin('Signature', 'ASN1');
+        $this->shortFormat = 'ASN1';
+
+        parent::__construct();
+    }
+
+    /**
+     * Returns the key size
+     *
+     * More specifically, this L (the length of DSA Prime P) and N (the length of DSA Group Order q)
+     *
+     * @access public
+     * @return array
+     */
+    public function getLength()
+    {
+        return ['L' => $this->p->getLength(), 'N' => $this->q->getLength()];
+    }
+
+    /**
+     * Returns the current engine being used
+     *
+     * @see self::useInternalEngine()
+     * @see self::useBestEngine()
+     * @access public
+     * @return string
+     */
+    public function getEngine()
+    {
+        return self::$engines['OpenSSL'] && in_array($this->hash->getHash(), openssl_get_md_methods()) ?
+            'OpenSSL' : 'PHP';
+    }
+
+    /**
+     * Returns the parameters
+     *
+     * A public / private key is only returned if the currently loaded "key" contains an x or y
+     * value.
+     *
+     * @see self::getPublicKey()
+     * @access public
+     * @return mixed
+     */
+    public function getParameters()
+    {
+        $type = self::validatePlugin('Keys', 'PKCS1', 'saveParameters');
+
+        $key = $type::saveParameters($this->p, $this->q, $this->g);
+        return DSA::load($key, 'PKCS1')
+            ->withHash($this->hash->getHash())
+            ->withSignatureFormat($this->shortFormat);
+    }
+
+    /**
+     * Determines the signature padding mode
+     *
+     * Valid values are: ASN1, SSH2, Raw
+     *
+     * @access public
+     * @param string $format
+     */
+    public function withSignatureFormat($format)
+    {
+        $new = clone $this;
+        $new->shortFormat = $format;
+        $new->sigFormat = self::validatePlugin('Signature', $format);
+        return $new;
+    }
+
+    /**
+     * Returns the signature format currently being used
+     *
+     * @access public
+     */
+    public function getSignatureFormat()
+    {
+       return $this->shortFormat;
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Keys/OpenSSH.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Keys/OpenSSH.php
new file mode 100644
index 000000000..bf2d9860c
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Keys/OpenSSH.php
@@ -0,0 +1,126 @@
+<?php
+
+/**
+ * OpenSSH Formatted DSA Key Handler
+ *
+ * PHP version 5
+ *
+ * Place in $HOME/.ssh/authorized_keys
+ *
+ * @category  Crypt
+ * @package   DSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\DSA\Formats\Keys;
+
+use ParagonIE\ConstantTime\Base64;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Crypt\Common\Formats\Keys\OpenSSH as Progenitor;
+
+/**
+ * OpenSSH Formatted DSA Key Handler
+ *
+ * @package DSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class OpenSSH extends Progenitor
+{
+    /**
+     * Supported Key Types
+     *
+     * @var array
+     */
+    protected static $types = ['ssh-dss'];
+
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        $parsed = parent::load($key, $password);
+
+        if (isset($parsed['paddedKey'])) {
+            list($type) = Strings::unpackSSH2('s', $parsed['paddedKey']);
+            if ($type != $parsed['type']) {
+                throw new \RuntimeException("The public and private keys are not of the same type ($type vs $parsed[type])");
+            }
+
+            list($p, $q, $g, $y, $x, $comment) = Strings::unpackSSH2('i5s', $parsed['paddedKey']);
+
+            return compact('p', 'q', 'g', 'y', 'x', 'comment');
+        }
+
+        list($p, $q, $g, $y) = Strings::unpackSSH2('iiii', $parsed['publicKey']);
+
+        $comment = $parsed['comment'];
+
+        return compact('p', 'q', 'g', 'y', 'comment');
+    }
+
+    /**
+     * Convert a public key to the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $p
+     * @param \phpseclib3\Math\BigInteger $q
+     * @param \phpseclib3\Math\BigInteger $g
+     * @param \phpseclib3\Math\BigInteger $y
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePublicKey(BigInteger $p, BigInteger $q, BigInteger $g, BigInteger $y, array $options = [])
+    {
+        if ($q->getLength() != 160) {
+            throw new \InvalidArgumentException('SSH only supports keys with an N (length of Group Order q) of 160');
+        }
+
+        // from <http://tools.ietf.org/html/rfc4253#page-15>:
+        // string    "ssh-dss"
+        // mpint     p
+        // mpint     q
+        // mpint     g
+        // mpint     y
+        $DSAPublicKey = Strings::packSSH2('siiii', 'ssh-dss', $p, $q, $g, $y);
+
+        if (isset($options['binary']) ? $options['binary'] : self::$binary) {
+            return $DSAPublicKey;
+        }
+
+        $comment = isset($options['comment']) ? $options['comment'] : self::$comment;
+        $DSAPublicKey = 'ssh-dss ' . base64_encode($DSAPublicKey) . ' ' . $comment;
+
+        return $DSAPublicKey;
+    }
+
+    /**
+     * Convert a private key to the appropriate format.
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $p
+     * @param \phpseclib3\Math\BigInteger $q
+     * @param \phpseclib3\Math\BigInteger $g
+     * @param \phpseclib3\Math\BigInteger $y
+     * @param \phpseclib3\Math\BigInteger $x
+     * @param string $password optional
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePrivateKey(BigInteger $p, BigInteger $q, BigInteger $g, BigInteger $y, BigInteger $x, $password = '', array $options = [])
+    {
+        $publicKey = self::savePublicKey($p, $q, $g, $y, ['binary' => true]);
+        $privateKey = Strings::packSSH2('si5', 'ssh-dss', $p, $q, $g, $y, $x);
+
+        return self::wrapPrivateKey($publicKey, $privateKey, $password, $options);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Keys/PKCS1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Keys/PKCS1.php
new file mode 100644
index 000000000..757487377
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Keys/PKCS1.php
@@ -0,0 +1,151 @@
+<?php
+
+/**
+ * PKCS#1 Formatted DSA Key Handler
+ *
+ * PHP version 5
+ *
+ * Used by File/X509.php
+ *
+ * Processes keys with the following headers:
+ *
+ * -----BEGIN DSA PRIVATE KEY-----
+ * -----BEGIN DSA PUBLIC KEY-----
+ * -----BEGIN DSA PARAMETERS-----
+ *
+ * Analogous to ssh-keygen's pem format (as specified by -m)
+ *
+ * Also, technically, PKCS1 decribes RSA but I am not aware of a formal specification for DSA.
+ * The DSA private key format seems to have been adapted from the RSA private key format so
+ * we're just re-using that as the name.
+ *
+ * @category  Crypt
+ * @package   DSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\DSA\Formats\Keys;
+
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Crypt\Common\Formats\Keys\PKCS1 as Progenitor;
+use phpseclib3\File\ASN1;
+use phpseclib3\File\ASN1\Maps;
+use ParagonIE\ConstantTime\Base64;
+
+/**
+ * PKCS#1 Formatted DSA Key Handler
+ *
+ * @package RSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PKCS1 extends Progenitor
+{
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        $key = parent::load($key, $password);
+
+        $decoded = ASN1::decodeBER($key);
+        if (empty($decoded)) {
+            throw new \RuntimeException('Unable to decode BER');
+        }
+
+        $key = ASN1::asn1map($decoded[0], Maps\DSAParams::MAP);
+        if (is_array($key)) {
+            return $key;
+        }
+
+        $key = ASN1::asn1map($decoded[0], Maps\DSAPrivateKey::MAP);
+        if (is_array($key)) {
+            return $key;
+        }
+
+        $key = ASN1::asn1map($decoded[0], Maps\DSAPublicKey::MAP);
+        if (is_array($key)) {
+            return $key;
+        }
+
+        throw new \RuntimeException('Unable to perform ASN1 mapping');
+    }
+
+    /**
+     * Convert DSA parameters to the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $p
+     * @param \phpseclib3\Math\BigInteger $q
+     * @param \phpseclib3\Math\BigInteger $g
+     * @return string
+     */
+    public static function saveParameters(BigInteger $p, BigInteger $q, BigInteger $g)
+    {
+        $key = [
+            'p' => $p,
+            'q' => $q,
+            'g' => $g
+        ];
+
+        $key = ASN1::encodeDER($key, Maps\DSAParams::MAP);
+
+        return "-----BEGIN DSA PARAMETERS-----\r\n" .
+               chunk_split(Base64::encode($key), 64) .
+               "-----END DSA PARAMETERS-----\r\n";
+    }
+
+    /**
+     * Convert a private key to the appropriate format.
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $p
+     * @param \phpseclib3\Math\BigInteger $q
+     * @param \phpseclib3\Math\BigInteger $g
+     * @param \phpseclib3\Math\BigInteger $y
+     * @param \phpseclib3\Math\BigInteger $x
+     * @param string $password optional
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePrivateKey(BigInteger $p, BigInteger $q, BigInteger $g, BigInteger $y, BigInteger $x, $password = '', array $options = [])
+    {
+        $key = [
+            'version' => 0,
+            'p' => $p,
+            'q' => $q,
+            'g' => $g,
+            'y' => $y,
+            'x' => $x
+        ];
+
+        $key = ASN1::encodeDER($key, Maps\DSAPrivateKey::MAP);
+
+        return self::wrapPrivateKey($key, 'DSA', $password, $options);
+    }
+
+    /**
+     * Convert a public key to the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $p
+     * @param \phpseclib3\Math\BigInteger $q
+     * @param \phpseclib3\Math\BigInteger $g
+     * @param \phpseclib3\Math\BigInteger $y
+     * @return string
+     */
+    public static function savePublicKey(BigInteger $p, BigInteger $q, BigInteger $g, BigInteger $y)
+    {
+        $key = ASN1::encodeDER($y, Maps\DSAPublicKey::MAP);
+
+        return self::wrapPublicKey($key, 'DSA');
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Keys/PKCS8.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Keys/PKCS8.php
new file mode 100644
index 000000000..71f66eb06
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Keys/PKCS8.php
@@ -0,0 +1,170 @@
+<?php
+
+/**
+ * PKCS#8 Formatted DSA Key Handler
+ *
+ * PHP version 5
+ *
+ * Processes keys with the following headers:
+ *
+ * -----BEGIN ENCRYPTED PRIVATE KEY-----
+ * -----BEGIN PRIVATE KEY-----
+ * -----BEGIN PUBLIC KEY-----
+ *
+ * Analogous to ssh-keygen's pkcs8 format (as specified by -m). Although PKCS8
+ * is specific to private keys it's basically creating a DER-encoded wrapper
+ * for keys. This just extends that same concept to public keys (much like ssh-keygen)
+ *
+ * @category  Crypt
+ * @package   DSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\DSA\Formats\Keys;
+
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Crypt\Common\Formats\Keys\PKCS8 as Progenitor;
+use phpseclib3\File\ASN1;
+use phpseclib3\File\ASN1\Maps;
+use phpseclib3\Common\Functions\Strings;
+
+/**
+ * PKCS#8 Formatted DSA Key Handler
+ *
+ * @package DSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PKCS8 extends Progenitor
+{
+    /**
+     * OID Name
+     *
+     * @var string
+     * @access private
+     */
+    const OID_NAME = 'id-dsa';
+
+    /**
+     * OID Value
+     *
+     * @var string
+     * @access private
+     */
+    const OID_VALUE = '1.2.840.10040.4.1';
+
+    /**
+     * Child OIDs loaded
+     *
+     * @var bool
+     * @access private
+     */
+    protected static $childOIDsLoaded = false;
+
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        if (!Strings::is_stringable($key)) {
+            throw new \UnexpectedValueException('Key should be a string - not a ' . gettype($key));
+        }
+
+        $isPublic = strpos($key, 'PUBLIC') !== false;
+
+        $key = parent::load($key, $password);
+
+        $type = isset($key['privateKey']) ? 'privateKey' : 'publicKey';
+
+        switch (true) {
+            case !$isPublic && $type == 'publicKey':
+                throw new \UnexpectedValueException('Human readable string claims non-public key but DER encoded string claims public key');
+            case $isPublic && $type == 'privateKey':
+                throw new \UnexpectedValueException('Human readable string claims public key but DER encoded string claims private key');
+        }
+
+        $decoded = ASN1::decodeBER($key[$type . 'Algorithm']['parameters']->element);
+        if (empty($decoded)) {
+            throw new \RuntimeException('Unable to decode BER of parameters');
+        }
+        $components = ASN1::asn1map($decoded[0], Maps\DSAParams::MAP);
+        if (!is_array($components)) {
+            throw new \RuntimeException('Unable to perform ASN1 mapping on parameters');
+        }
+
+        $decoded = ASN1::decodeBER($key[$type]);
+        if (empty($decoded)) {
+            throw new \RuntimeException('Unable to decode BER');
+        }
+
+        $var = $type == 'privateKey' ? 'x' : 'y';
+        $components[$var] = ASN1::asn1map($decoded[0], Maps\DSAPublicKey::MAP);
+        if (!$components[$var] instanceof BigInteger) {
+            throw new \RuntimeException('Unable to perform ASN1 mapping');
+        }
+
+        if (isset($key['meta'])) {
+            $components['meta'] = $key['meta'];
+        }
+
+        return $components;
+    }
+
+    /**
+     * Convert a private key to the appropriate format.
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $p
+     * @param \phpseclib3\Math\BigInteger $q
+     * @param \phpseclib3\Math\BigInteger $g
+     * @param \phpseclib3\Math\BigInteger $y
+     * @param \phpseclib3\Math\BigInteger $x
+     * @param string $password optional
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePrivateKey(BigInteger $p, BigInteger $q, BigInteger $g, BigInteger $y, BigInteger $x, $password = '', array $options = [])
+    {
+        $params = [
+            'p' => $p,
+            'q' => $q,
+            'g' => $g
+        ];
+        $params = ASN1::encodeDER($params, Maps\DSAParams::MAP);
+        $params = new ASN1\Element($params);
+        $key = ASN1::encodeDER($x, Maps\DSAPublicKey::MAP);
+        return self::wrapPrivateKey($key, [], $params, $password, $options);
+    }
+
+    /**
+     * Convert a public key to the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $p
+     * @param \phpseclib3\Math\BigInteger $q
+     * @param \phpseclib3\Math\BigInteger $g
+     * @param \phpseclib3\Math\BigInteger $y
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePublicKey(BigInteger $p, BigInteger $q, BigInteger $g, BigInteger $y, array $options = [])
+    {
+        $params = [
+            'p' => $p,
+            'q' => $q,
+            'g' => $g
+        ];
+        $params = ASN1::encodeDER($params, Maps\DSAParams::MAP);
+        $params = new ASN1\Element($params);
+        $key = ASN1::encodeDER($y, Maps\DSAPublicKey::MAP);
+        return self::wrapPublicKey($key, $params);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Keys/PuTTY.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Keys/PuTTY.php
new file mode 100644
index 000000000..5f71e6840
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Keys/PuTTY.php
@@ -0,0 +1,118 @@
+<?php
+
+/**
+ * PuTTY Formatted DSA Key Handler
+ *
+ * puttygen does not generate DSA keys with an N of anything other than 160, however,
+ * it can still load them and convert them. PuTTY will load them, too, but SSH servers
+ * won't accept them. Since PuTTY formatted keys are primarily used with SSH this makes
+ * keys with N > 160 kinda useless, hence this handlers not supporting such keys.
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   DSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\DSA\Formats\Keys;
+
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Crypt\Common\Formats\Keys\PuTTY as Progenitor;
+
+/**
+ * PuTTY Formatted DSA Key Handler
+ *
+ * @package DSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PuTTY extends Progenitor
+{
+    /**
+     * Public Handler
+     *
+     * @var string
+     * @access private
+     */
+    const PUBLIC_HANDLER = 'phpseclib3\Crypt\DSA\Formats\Keys\OpenSSH';
+
+    /**
+     * Algorithm Identifier
+     *
+     * @var array
+     * @access private
+     */
+    protected static $types = ['ssh-dss'];
+
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        $components = parent::load($key, $password);
+        if (!isset($components['private'])) {
+            return $components;
+        }
+        extract($components);
+        unset($components['public'], $components['private']);
+
+        list($p, $q, $g, $y) = Strings::unpackSSH2('iiii', $public);
+        list($x) = Strings::unpackSSH2('i', $private);
+
+        return compact('p', 'q', 'g', 'y', 'x', 'comment');
+    }
+
+    /**
+     * Convert a private key to the appropriate format.
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $p
+     * @param \phpseclib3\Math\BigInteger $q
+     * @param \phpseclib3\Math\BigInteger $g
+     * @param \phpseclib3\Math\BigInteger $y
+     * @param \phpseclib3\Math\BigInteger $x
+     * @param string $password optional
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePrivateKey(BigInteger $p, BigInteger $q, BigInteger $g, BigInteger $y, BigInteger $x, $password = false, array $options = [])
+    {
+        if ($q->getLength() != 160) {
+            throw new \InvalidArgumentException('SSH only supports keys with an N (length of Group Order q) of 160');
+        }
+
+        $public = Strings::packSSH2('iiii', $p, $q, $g, $y);
+        $private = Strings::packSSH2('i', $x);
+
+        return self::wrapPrivateKey($public, $private, 'ssh-dsa', $password, $options);
+    }
+
+    /**
+     * Convert a public key to the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $p
+     * @param \phpseclib3\Math\BigInteger $q
+     * @param \phpseclib3\Math\BigInteger $g
+     * @param \phpseclib3\Math\BigInteger $y
+     * @return string
+     */
+    public static function savePublicKey(BigInteger $p, BigInteger $q, BigInteger $g, BigInteger $y)
+    {
+        if ($q->getLength() != 160) {
+            throw new \InvalidArgumentException('SSH only supports keys with an N (length of Group Order q) of 160');
+        }
+
+        return self::wrapPublicKey(Strings::packSSH2('iiii', $p, $q, $g, $y), 'ssh-dsa');
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Keys/Raw.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Keys/Raw.php
new file mode 100644
index 000000000..04eba721b
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Keys/Raw.php
@@ -0,0 +1,92 @@
+<?php
+
+/**
+ * Raw DSA Key Handler
+ *
+ * PHP version 5
+ *
+ * Reads and creates arrays as DSA keys
+ *
+ * @category  Crypt
+ * @package   DSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\DSA\Formats\Keys;
+
+use phpseclib3\Math\BigInteger;
+
+/**
+ * Raw DSA Key Handler
+ *
+ * @package DSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Raw
+{
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param array $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        if (!is_array($key)) {
+            throw new \UnexpectedValueException('Key should be a array - not a ' . gettype($key));
+        }
+
+        switch (true) {
+            case !isset($key['p']) || !isset($key['q']) || !isset($key['g']):
+            case !$key['p'] instanceof BigInteger:
+            case !$key['q'] instanceof BigInteger:
+            case !$key['g'] instanceof BigInteger:
+            case !isset($key['x']) && !isset($key['y']):
+            case isset($key['x']) && !$key['x'] instanceof BigInteger:
+            case isset($key['y']) && !$key['y'] instanceof BigInteger:
+                throw new \UnexpectedValueException('Key appears to be malformed');
+        }
+
+        $options = ['p' => 1, 'q' => 1, 'g' => 1, 'x' => 1, 'y' => 1];
+
+        return array_intersect_key($key, $options);
+    }
+
+    /**
+     * Convert a private key to the appropriate format.
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $p
+     * @param \phpseclib3\Math\BigInteger $q
+     * @param \phpseclib3\Math\BigInteger $g
+     * @param \phpseclib3\Math\BigInteger $y
+     * @param \phpseclib3\Math\BigInteger $x
+     * @param string $password optional
+     * @return string
+     */
+    public static function savePrivateKey(BigInteger $p, BigInteger $q, BigInteger $g, BigInteger $y, BigInteger $x, $password = '')
+    {
+        return compact('p', 'q', 'g', 'y', 'x');
+    }
+
+    /**
+     * Convert a public key to the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $p
+     * @param \phpseclib3\Math\BigInteger $q
+     * @param \phpseclib3\Math\BigInteger $g
+     * @param \phpseclib3\Math\BigInteger $y
+     * @return string
+     */
+    public static function savePublicKey(BigInteger $p, BigInteger $q, BigInteger $g, BigInteger $y)
+    {
+        return compact('p', 'q', 'g', 'y');
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Keys/XML.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Keys/XML.php
new file mode 100644
index 000000000..42b3bbb99
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Keys/XML.php
@@ -0,0 +1,133 @@
+<?php
+
+/**
+ * XML Formatted DSA Key Handler
+ *
+ * While XKMS defines a private key format for RSA it does not do so for DSA. Quoting that standard:
+ *
+ * "[XKMS] does not specify private key parameters for the DSA signature algorithm since the algorithm only
+ *  supports signature modes and so the application of server generated keys and key recovery is of limited
+ *  value"
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   DSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\DSA\Formats\Keys;
+
+use ParagonIE\ConstantTime\Base64;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Common\Functions\Strings;
+
+/**
+ * XML Formatted DSA Key Handler
+ *
+ * @package DSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class XML
+{
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        if (!Strings::is_stringable($key)) {
+            throw new \UnexpectedValueException('Key should be a string - not a ' . gettype($key));
+        }
+
+        $use_errors = libxml_use_internal_errors(true);
+
+        $dom = new \DOMDocument();
+        if (substr($key, 0, 5) != '<?xml') {
+            $key = '<xml>' . $key . '</xml>';
+        }
+        if (!$dom->loadXML($key)) {
+            throw new \UnexpectedValueException('Key does not appear to contain XML');
+        }
+        $xpath = new \DOMXPath($dom);
+        $keys = ['p', 'q', 'g', 'y', 'j', 'seed', 'pgencounter'];
+        foreach ($keys as $key) {
+            // $dom->getElementsByTagName($key) is case-sensitive
+            $temp = $xpath->query("//*[translate(local-name(), 'ABCDEFGHIJKLMNOPQRSTUVWXYZ','abcdefghijklmnopqrstuvwxyz')='$key']");
+            if (!$temp->length) {
+                continue;
+            }
+            $value = new BigInteger(Base64::decode($temp->item(0)->nodeValue), 256);
+            switch ($key) {
+                case 'p': // a prime modulus meeting the [DSS] requirements
+                    // Parameters P, Q, and G can be public and common to a group of users. They might be known
+                    // from application context. As such, they are optional but P and Q must either both appear
+                    // or both be absent
+                    $components['p'] = $value;
+                    break;
+                case 'q': // an integer in the range 2**159 < Q < 2**160 which is a prime divisor of P-1
+                    $components['q'] = $value;
+                    break;
+                case 'g': // an integer with certain properties with respect to P and Q
+                    $components['g'] = $value;
+                    break;
+                case 'y': // G**X mod P (where X is part of the private key and not made public)
+                    $components['y'] = $value;
+                    // the remaining options do not do anything
+                case 'j': // (P - 1) / Q
+                    // Parameter J is available for inclusion solely for efficiency as it is calculatable from
+                    // P and Q
+                case 'seed': // a DSA prime generation seed
+                    // Parameters seed and pgenCounter are used in the DSA prime number generation algorithm
+                    // specified in [DSS]. As such, they are optional but must either both be present or both
+                    // be absent
+                case 'pgencounter': // a DSA prime generation counter
+            }
+        }
+
+        libxml_use_internal_errors($use_errors);
+
+        if (!isset($components['y'])) {
+            throw new \UnexpectedValueException('Key is missing y component');
+        }
+
+        switch (true) {
+            case !isset($components['p']):
+            case !isset($components['q']):
+            case !isset($components['g']):
+                return ['y' => $components['y']];
+        }
+
+        return $components;
+    }
+
+    /**
+     * Convert a public key to the appropriate format
+     *
+     * See https://www.w3.org/TR/xmldsig-core/#sec-DSAKeyValue
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $p
+     * @param \phpseclib3\Math\BigInteger $q
+     * @param \phpseclib3\Math\BigInteger $g
+     * @param \phpseclib3\Math\BigInteger $y
+     * @return string
+     */
+    public static function savePublicKey(BigInteger $p, BigInteger $q, BigInteger $g, BigInteger $y)
+    {
+        return "<DSAKeyValue>\r\n" .
+               '  <P>' . Base64::encode($p->toBytes()) . "</P>\r\n" .
+               '  <Q>' . Base64::encode($q->toBytes()) . "</Q>\r\n" .
+               '  <G>' . Base64::encode($g->toBytes()) . "</G>\r\n" .
+               '  <Y>' . Base64::encode($y->toBytes()) . "</Y>\r\n" .
+               '</DSAKeyValue>';
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Signature/ASN1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Signature/ASN1.php
new file mode 100644
index 000000000..a9c29a346
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Signature/ASN1.php
@@ -0,0 +1,68 @@
+<?php
+
+/**
+ * ASN1 Signature Handler
+ *
+ * PHP version 5
+ *
+ * Handles signatures in the format described in
+ * https://tools.ietf.org/html/rfc3279#section-2.2.2
+ *
+ * @category  Crypt
+ * @package   Common
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\DSA\Formats\Signature;
+
+use phpseclib3\Math\BigInteger;
+use phpseclib3\File\ASN1 as Encoder;
+use phpseclib3\File\ASN1\Maps;
+
+/**
+ * ASN1 Signature Handler
+ *
+ * @package Common
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class ASN1
+{
+    /**
+     * Loads a signature
+     *
+     * @access public
+     * @param string $sig
+     * @return array|bool
+     */
+    public static function load($sig)
+    {
+        if (!is_string($sig)) {
+            return false;
+        }
+
+        $decoded = Encoder::decodeBER($sig);
+        if (empty($decoded)) {
+            return false;
+        }
+        $components = Encoder::asn1map($decoded[0], Maps\DssSigValue::MAP);
+
+        return $components;
+    }
+
+    /**
+     * Returns a signature in the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $r
+     * @param \phpseclib3\Math\BigInteger $s
+     * @return string
+     */
+    public static function save(BigInteger $r, BigInteger $s)
+    {
+        return Encoder::encodeDER(compact('r', 's'), Maps\DssSigValue::MAP);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Signature/Raw.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Signature/Raw.php
new file mode 100644
index 000000000..e362e41bb
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Signature/Raw.php
@@ -0,0 +1,29 @@
+<?php
+
+/**
+ * Raw DSA Signature Handler
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   DSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\DSA\Formats\Signature;
+
+use phpseclib3\Crypt\Common\Formats\Signature\Raw as Progenitor;
+
+/**
+ * Raw DSA Signature Handler
+ *
+ * @package DSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Raw extends Progenitor
+{
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Signature/SSH2.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Signature/SSH2.php
new file mode 100644
index 000000000..39f1f6cef
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Formats/Signature/SSH2.php
@@ -0,0 +1,78 @@
+<?php
+
+/**
+ * SSH2 Signature Handler
+ *
+ * PHP version 5
+ *
+ * Handles signatures in the format used by SSH2
+ *
+ * @category  Crypt
+ * @package   Common
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\DSA\Formats\Signature;
+
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Common\Functions\Strings;
+
+/**
+ * SSH2 Signature Handler
+ *
+ * @package Common
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class SSH2
+{
+    /**
+     * Loads a signature
+     *
+     * @access public
+     * @param string $sig
+     * @return mixed
+     */
+    public static function load($sig)
+    {
+        if (!is_string($sig)) {
+            return false;
+        }
+
+        $result = Strings::unpackSSH2('ss', $sig);
+        if ($result === false) {
+            return false;
+        }
+        list($type, $blob) = $result;
+        if ($type != 'ssh-dss' || strlen($blob) != 40) {
+            return false;
+        }
+
+        return [
+            'r' => new BigInteger(substr($blob, 0, 20), 256),
+            's' => new BigInteger(substr($blob, 20), 256)
+        ];
+    }
+
+    /**
+     * Returns a signature in the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $r
+     * @param \phpseclib3\Math\BigInteger $s
+     * @return string
+     */
+    public static function save(BigInteger $r, BigInteger $s)
+    {
+        if ($r->getLength() > 160 || $s->getLength() > 160) {
+            return false;
+        }
+        return Strings::packSSH2('ss', 'ssh-dss',
+            str_pad($r->toBytes(), 20, "\0", STR_PAD_LEFT) .
+            str_pad($s->toBytes(), 20, "\0", STR_PAD_LEFT)
+        );
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Parameters.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Parameters.php
new file mode 100644
index 000000000..3f36e9624
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/Parameters.php
@@ -0,0 +1,40 @@
+<?php
+
+/**
+ * DSA Parameters
+ *
+ * @category  Crypt
+ * @package   DSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\DSA;
+
+use phpseclib3\Crypt\DSA;
+
+/**
+ * DSA Parameters
+ *
+ * @package DSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class Parameters extends DSA
+{
+    /**
+     * Returns the parameters
+     *
+     * @param string $type
+     * @param array $options optional
+     * @return string
+     */
+    public function toString($type = 'PKCS1', array $options = [])
+    {
+        $type = self::validatePlugin('Keys', 'PKCS1', 'saveParameters');
+
+        return $type::saveParameters($this->p, $this->q, $this->g, $options);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/PrivateKey.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/PrivateKey.php
new file mode 100644
index 000000000..c976f2cf6
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/PrivateKey.php
@@ -0,0 +1,159 @@
+<?php
+
+/**
+ * DSA Private Key
+ *
+ * @category  Crypt
+ * @package   DSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\DSA;
+
+use phpseclib3\Crypt\DSA;
+use phpseclib3\Crypt\DSA\Formats\Signature\ASN1 as ASN1Signature;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Crypt\Common;
+
+/**
+ * DSA Private Key
+ *
+ * @package DSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class PrivateKey extends DSA implements Common\PrivateKey
+{
+    use Common\Traits\PasswordProtected;
+
+    /**
+     * DSA secret exponent x
+     *
+     * @var \phpseclib3\Math\BigInteger
+     * @access private
+     */
+    protected $x;
+
+    /**
+     * Returns the public key
+     *
+     * If you do "openssl rsa -in private.rsa -pubout -outform PEM" you get a PKCS8 formatted key
+     * that contains a publicKeyAlgorithm AlgorithmIdentifier and a publicKey BIT STRING.
+     * An AlgorithmIdentifier contains an OID and a parameters field. With RSA public keys this
+     * parameters field is NULL. With DSA PKCS8 public keys it is not - it contains the p, q and g
+     * variables. The publicKey BIT STRING contains, simply, the y variable. This can be verified
+     * by getting a DSA PKCS8 public key:
+     *
+     * "openssl dsa -in private.dsa -pubout -outform PEM"
+     *
+     * ie. just swap out rsa with dsa in the rsa command above.
+     *
+     * A PKCS1 public key corresponds to the publicKey portion of the PKCS8 key. In the case of RSA
+     * the publicKey portion /is/ the key. In the case of DSA it is not. You cannot verify a signature
+     * without the parameters and the PKCS1 DSA public key format does not include the parameters.
+     *
+     * @see self::getPrivateKey()
+     * @access public
+     * @return mixed
+     */
+    public function getPublicKey()
+    {
+        $type = self::validatePlugin('Keys', 'PKCS8', 'savePublicKey');
+
+        if (!isset($this->y)) {
+            $this->y = $this->g->powMod($this->x, $this->p);
+        }
+
+        $key = $type::savePublicKey($this->p, $this->q, $this->g, $this->y);
+
+        return DSA::loadFormat('PKCS8', $key)
+            ->withHash($this->hash->getHash())
+            ->withSignatureFormat($this->shortFormat);
+    }
+
+    /**
+     * Create a signature
+     *
+     * @see self::verify()
+     * @access public
+     * @param string $message
+     * @return mixed
+     */
+    public function sign($message)
+    {
+        $format = $this->sigFormat;
+
+        if (self::$engines['OpenSSL'] && in_array($this->hash->getHash(), openssl_get_md_methods())) {
+            $signature = '';
+            $result = openssl_sign($message, $signature, $this->toString('PKCS8'), $this->hash->getHash());
+
+            if ($result) {
+                if ($this->shortFormat == 'ASN1') {
+                    return $signature;
+                }
+
+                extract(ASN1Signature::load($signature));
+
+                return $format::save($r, $s);
+            }
+        }
+
+        $h = $this->hash->hash($message);
+        $h = $this->bits2int($h);
+
+        while (true) {
+            $k = BigInteger::randomRange(self::$one, $this->q->subtract(self::$one));
+            $r = $this->g->powMod($k, $this->p);
+            list(, $r) = $r->divide($this->q);
+            if ($r->equals(self::$zero)) {
+                continue;
+            }
+            $kinv = $k->modInverse($this->q);
+            $temp = $h->add($this->x->multiply($r));
+            $temp = $kinv->multiply($temp);
+            list(, $s) = $temp->divide($this->q);
+            if (!$s->equals(self::$zero)) {
+                break;
+            }
+        }
+
+        // the following is an RFC6979 compliant implementation of deterministic DSA
+        // it's unused because it's mainly intended for use when a good CSPRNG isn't
+        // available. if phpseclib's CSPRNG isn't good then even key generation is
+        // suspect
+        /*
+        $h1 = $this->hash->hash($message);
+        $k = $this->computek($h1);
+        $r = $this->g->powMod($k, $this->p);
+        list(, $r) = $r->divide($this->q);
+        $kinv = $k->modInverse($this->q);
+        $h1 = $this->bits2int($h1);
+        $temp = $h1->add($this->x->multiply($r));
+        $temp = $kinv->multiply($temp);
+        list(, $s) = $temp->divide($this->q);
+        */
+
+        return $format::save($r, $s);
+    }
+
+    /**
+     * Returns the private key
+     *
+     * @param string $type
+     * @param array $options optional
+     * @return string
+     */
+    public function toString($type, array $options = [])
+    {
+        $type = self::validatePlugin('Keys', $type, 'savePrivateKey');
+
+        if (!isset($this->y)) {
+            $this->y = $this->g->powMod($this->x, $this->p);
+        }
+
+        return $type::savePrivateKey($this->p, $this->q, $this->g, $this->y, $this->x, $this->password, $options);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/PublicKey.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/PublicKey.php
new file mode 100644
index 000000000..156476f06
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/DSA/PublicKey.php
@@ -0,0 +1,91 @@
+<?php
+
+/**
+ * DSA Public Key
+ *
+ * @category  Crypt
+ * @package   DSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\DSA;
+
+use phpseclib3\Crypt\DSA;
+use phpseclib3\Crypt\DSA\Formats\Signature\ASN1 as ASN1Signature;
+use phpseclib3\Crypt\Common;
+
+/**
+ * DSA Public Key
+ *
+ * @package DSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class PublicKey extends DSA implements Common\PublicKey
+{
+    use Common\Traits\Fingerprint;
+
+    /**
+     * Verify a signature
+     *
+     * @see self::verify()
+     * @access public
+     * @param string $message
+     * @param string $signature
+     * @return mixed
+     */
+    public function verify($message, $signature)
+    {
+        $format = $this->sigFormat;
+
+        $params = $format::load($signature);
+        if ($params === false || count($params) != 2) {
+            return false;
+        }
+        extract($params);
+
+        if (self::$engines['OpenSSL'] && in_array($this->hash->getHash(), openssl_get_md_methods())) {
+            $sig = $format != 'ASN1' ? ASN1Signature::save($r, $s) : $signature;
+
+            $result = openssl_verify($message, $sig, $this->toString('PKCS8'), $this->hash->getHash());
+
+            if ($result != -1) {
+                return (bool) $result;
+            }
+        }
+
+        $q_1 = $this->q->subtract(self::$one);
+        if (!$r->between(self::$one, $q_1) || !$s->between(self::$one, $q_1)) {
+            return false;
+        }
+
+        $w = $s->modInverse($this->q);
+        $h = $this->hash->hash($message);
+        $h = $this->bits2int($h);
+        list(, $u1) = $h->multiply($w)->divide($this->q);
+        list(, $u2) = $r->multiply($w)->divide($this->q);
+        $v1 = $this->g->powMod($u1, $this->p);
+        $v2 = $this->y->powMod($u2, $this->p);
+        list(, $v) = $v1->multiply($v2)->divide($this->p);
+        list(, $v) = $v->divide($this->q);
+
+        return $v->equals($r);
+    }
+
+    /**
+     * Returns the public key
+     *
+     * @param string $type
+     * @param array $options optional
+     * @return string
+     */
+    public function toString($type, array $options = [])
+    {
+        $type = self::validatePlugin('Keys', $type, 'savePublicKey');
+
+        return $type::savePublicKey($this->p, $this->q, $this->g, $this->y, $options);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC.php
new file mode 100644
index 000000000..2c0ab1979
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC.php
@@ -0,0 +1,477 @@
+<?php
+
+/**
+ * Pure-PHP implementation of EC.
+ *
+ * PHP version 5
+ *
+ * Here's an example of how to create signatures and verify signatures with this library:
+ * <code>
+ * <?php
+ * include 'vendor/autoload.php';
+ *
+ * $private = \phpseclib3\Crypt\EC::createKey('secp256k1');
+ * $public = $private->getPublicKey();
+ *
+ * $plaintext = 'terrafrost';
+ *
+ * $signature = $private->sign($plaintext);
+ *
+ * echo $public->verify($plaintext, $signature) ? 'verified' : 'unverified';
+ * ?>
+ * </code>
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt;
+
+use phpseclib3\Crypt\Common\AsymmetricKey;
+use phpseclib3\Crypt\EC\PrivateKey;
+use phpseclib3\Crypt\EC\PublicKey;
+use phpseclib3\Crypt\EC\Parameters;
+use phpseclib3\Crypt\EC\BaseCurves\TwistedEdwards as TwistedEdwardsCurve;
+use phpseclib3\Crypt\EC\BaseCurves\Montgomery as MontgomeryCurve;
+use phpseclib3\Crypt\EC\Curves\Curve25519;
+use phpseclib3\Crypt\EC\Curves\Ed25519;
+use phpseclib3\Crypt\EC\Curves\Ed448;
+use phpseclib3\Crypt\EC\Formats\Keys\PKCS1;
+use phpseclib3\File\ASN1\Maps\ECParameters;
+use phpseclib3\File\ASN1;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Exception\UnsupportedCurveException;
+use phpseclib3\Exception\UnsupportedAlgorithmException;
+use phpseclib3\Exception\UnsupportedOperationException;
+
+/**
+ * Pure-PHP implementation of EC.
+ *
+ * @package EC
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class EC extends AsymmetricKey
+{
+    /**
+     * Algorithm Name
+     *
+     * @var string
+     * @access private
+     */
+    const ALGORITHM = 'EC';
+
+    /**
+     * Public Key QA
+     *
+     * @var object[]
+     */
+    protected $QA;
+
+    /**
+     * Curve
+     *
+     * @var \phpseclib3\Crypt\EC\BaseCurves\Base
+     */
+    protected $curve;
+
+    /**
+     * Signature Format
+     *
+     * @var string
+     * @access private
+     */
+    protected $format;
+
+    /**
+     * Signature Format (Short)
+     *
+     * @var string
+     * @access private
+     */
+    protected $shortFormat;
+
+    /**
+     * Curve Name
+     *
+     * @var string
+     */
+    private $curveName;
+
+    /**
+     * Curve Order
+     *
+     * Used for deterministic ECDSA
+     *
+     * @var \phpseclib3\Math\BigInteger
+     */
+    protected $q;
+
+    /**
+     * Alias for the private key
+     *
+     * Used for deterministic ECDSA. AsymmetricKey expects $x. I don't like x because
+     * with x you have x * the base point yielding an (x, y)-coordinate that is the
+     * public key. But the x is different depending on which side of the equal sign
+     * you're on. It's less ambiguous if you do dA * base point = (x, y)-coordinate.
+     *
+     * @var \phpseclib3\Math\BigInteger
+     */
+    protected $x;
+
+    /**
+     * Context
+     *
+     * @var string
+     */
+    protected $context;
+
+    /**
+     * Create public / private key pair.
+     *
+     * @access public
+     * @param string $curve
+     * @return \phpseclib3\Crypt\EC\PrivateKey
+     */
+    public static function createKey($curve)
+    {
+        self::initialize_static_variables();
+
+        if (!isset(self::$engines['PHP'])) {
+            self::useBestEngine();
+        }
+
+        $curve = strtolower($curve);
+        if (self::$engines['libsodium'] && $curve == 'ed25519' && function_exists('sodium_crypto_sign_keypair')) {
+            $kp = sodium_crypto_sign_keypair();
+
+            $privatekey = EC::loadFormat('libsodium', sodium_crypto_sign_secretkey($kp));
+            //$publickey = EC::loadFormat('libsodium', sodium_crypto_sign_publickey($kp));
+
+            $privatekey->curveName = 'Ed25519';
+            //$publickey->curveName = $curve;
+
+            return $privatekey;
+        }
+
+        $privatekey = new PrivateKey;
+
+        $curveName = $curve;
+        if (preg_match('#(?:^curve|^ed)\d+$#', $curveName)) {
+            $curveName = ucfirst($curveName);
+        } elseif (substr($curveName, 0, 10) == 'brainpoolp') {
+            $curveName = 'brainpoolP' . substr($curveName, 10);
+        }
+        $curve = '\phpseclib3\Crypt\EC\Curves\\' . $curveName;
+
+        if (!class_exists($curve)) {
+            throw new UnsupportedCurveException('Named Curve of ' . $curveName . ' is not supported');
+        }
+
+        $reflect = new \ReflectionClass($curve);
+        $curveName = $reflect->isFinal() ?
+            $reflect->getParentClass()->getShortName() :
+            $reflect->getShortName();
+
+        $curve = new $curve();
+        $privatekey->dA = $dA = $curve->createRandomMultiplier();
+        if ($curve instanceof Curve25519 && self::$engines['libsodium']) {
+            //$r = pack('H*', '0900000000000000000000000000000000000000000000000000000000000000');
+            //$QA = sodium_crypto_scalarmult($dA->toBytes(), $r);
+            $QA = sodium_crypto_box_publickey_from_secretkey($dA->toBytes());
+            $privatekey->QA = [$curve->convertInteger(new BigInteger(strrev($QA), 256))];
+        } else {
+            $privatekey->QA = $curve->multiplyPoint($curve->getBasePoint(), $dA);
+        }
+        $privatekey->curve = $curve;
+
+        //$publickey = clone $privatekey;
+        //unset($publickey->dA);
+        //unset($publickey->x);
+
+        $privatekey->curveName = $curveName;
+        //$publickey->curveName = $curveName;
+
+        if ($privatekey->curve instanceof TwistedEdwardsCurve) {
+            return $privatekey->withHash($curve::HASH);
+        }
+
+        return $privatekey;
+    }
+
+    /**
+     * OnLoad Handler
+     *
+     * @return bool
+     * @access protected
+     * @param array $components
+     */
+    protected static function onLoad($components)
+    {
+        if (!isset(self::$engines['PHP'])) {
+            self::useBestEngine();
+        }
+
+        if (!isset($components['dA']) && !isset($components['QA'])) {
+            $new = new Parameters;
+            $new->curve = $components['curve'];
+            return $new;
+        }
+
+        $new = isset($components['dA']) ?
+            new PrivateKey :
+            new PublicKey;
+        $new->curve = $components['curve'];
+        $new->QA = $components['QA'];
+
+        if (isset($components['dA'])) {
+            $new->dA = $components['dA'];
+        }
+
+        if ($new->curve instanceof TwistedEdwardsCurve) {
+            return $new->withHash($components['curve']::HASH);
+        }
+
+        return $new;
+    }
+
+    /**
+     * Constructor
+     *
+     * PublicKey and PrivateKey objects can only be created from abstract RSA class
+     */
+    protected function __construct()
+    {
+        $this->sigFormat = self::validatePlugin('Signature', 'ASN1');
+        $this->shortFormat = 'ASN1';
+
+        parent::__construct();
+    }
+
+    /**
+     * Returns the curve
+     *
+     * Returns a string if it's a named curve, an array if not
+     *
+     * @access public
+     * @return string|array
+     */
+    public function getCurve()
+    {
+        if ($this->curveName) {
+            return $this->curveName;
+        }
+
+        if ($this->curve instanceof MontgomeryCurve) {
+            $this->curveName = $this->curve instanceof Curve25519 ? 'Curve25519' : 'Curve448';
+            return $this->curveName;
+        }
+
+        if ($this->curve instanceof TwistedEdwardsCurve) {
+            $this->curveName = $this->curve instanceof Ed25519 ? 'Ed25519' : 'Ed448';
+            return $this->curveName;
+        }
+
+        $params = $this->getParameters()->toString('PKCS8', ['namedCurve' => true]);
+        $decoded = ASN1::extractBER($params);
+        $decoded = ASN1::decodeBER($decoded);
+        $decoded = ASN1::asn1map($decoded[0], ECParameters::MAP);
+        if (isset($decoded['namedCurve'])) {
+            $this->curveName = $decoded['namedCurve'];
+            return $decoded['namedCurve'];
+        }
+
+        if (!$namedCurves) {
+            PKCS1::useSpecifiedCurve();
+        }
+
+        return $decoded;
+    }
+
+    /**
+     * Returns the key size
+     *
+     * Quoting https://tools.ietf.org/html/rfc5656#section-2,
+     *
+     * "The size of a set of elliptic curve domain parameters on a prime
+     *  curve is defined as the number of bits in the binary representation
+     *  of the field order, commonly denoted by p.  Size on a
+     *  characteristic-2 curve is defined as the number of bits in the binary
+     *  representation of the field, commonly denoted by m.  A set of
+     *  elliptic curve domain parameters defines a group of order n generated
+     *  by a base point P"
+     *
+     * @access public
+     * @return int
+     */
+    public function getLength()
+    {
+        return $this->curve->getLength();
+    }
+
+    /**
+     * Returns the current engine being used
+     *
+     * @see self::useInternalEngine()
+     * @see self::useBestEngine()
+     * @access public
+     * @return string
+     */
+    public function getEngine()
+    {
+        if ($this->curve instanceof TwistedEdwardsCurve) {
+            return $this->curve instanceof Ed25519 && self::$engines['libsodium'] && !isset($this->context) ?
+                'libsodium' : 'PHP';
+        }
+
+        return self::$engines['OpenSSL'] && in_array($this->hash->getHash(), openssl_get_md_methods()) ?
+            'OpenSSL' : 'PHP';
+    }
+
+    /**
+     * Returns the public key coordinates as a string
+     *
+     * Used by ECDH
+     *
+     * @return string
+     */
+    public function getEncodedCoordinates()
+    {
+        if ($this->curve instanceof MontgomeryCurve) {
+            return strrev($this->QA[0]->toBytes(true));
+        }
+        if ($this->curve instanceof TwistedEdwardsCurve) {
+            return $this->curve->encodePoint($this->QA);
+        }
+        return "\4" . $this->QA[0]->toBytes(true) . $this->QA[1]->toBytes(true);
+    }
+
+    /**
+     * Returns the parameters
+     *
+     * @see self::getPublicKey()
+     * @access public
+     * @param string $type optional
+     * @return mixed
+     */
+    public function getParameters($type = 'PKCS1')
+    {
+        $type = self::validatePlugin('Keys', $type, 'saveParameters');
+
+        $key = $type::saveParameters($this->curve);
+
+        return EC::load($key, 'PKCS1')
+            ->withHash($this->hash->getHash())
+            ->withSignatureFormat($this->shortFormat);
+    }
+
+    /**
+     * Determines the signature padding mode
+     *
+     * Valid values are: ASN1, SSH2, Raw
+     *
+     * @access public
+     * @param string $format
+     */
+    public function withSignatureFormat($format)
+    {
+        if ($this->curve instanceof MontgomeryCurve) {
+            throw new UnsupportedOperationException('Montgomery Curves cannot be used to create signatures');
+        }
+
+        $new = clone $this;
+        $new->shortFormat = $format;
+        $new->sigFormat = self::validatePlugin('Signature', $format);
+        return $new;
+    }
+
+    /**
+     * Returns the signature format currently being used
+     *
+     * @access public
+     */
+    public function getSignatureFormat()
+    {
+       return $this->shortFormat;
+    }
+
+    /**
+     * Sets the context
+     *
+     * Used by Ed25519 / Ed448.
+     *
+     * @see self::sign()
+     * @see self::verify()
+     * @access public
+     * @param string $context optional
+     */
+    public function withContext($context = null)
+    {
+        if (!$this->curve instanceof TwistedEdwardsCurve) {
+            throw new UnsupportedCurveException('Only Ed25519 and Ed448 support contexts');
+        }
+
+        $new = clone $this;
+        if (!isset($context)) {
+            $new->context = null;
+            return $new;
+        }
+        if (!is_string($context)) {
+            throw new \InvalidArgumentException('setContext expects a string');
+        }
+        if (strlen($context) > 255) {
+            throw new \LengthException('The context is supposed to be, at most, 255 bytes long');
+        }
+        $new->context = $context;
+        return $new;
+    }
+
+    /**
+     * Returns the signature format currently being used
+     *
+     * @access public
+     */
+    public function getContext()
+    {
+       return $this->context;
+    }
+
+    /**
+     * Determines which hashing function should be used
+     *
+     * @access public
+     * @param string $hash
+     */
+    public function withHash($hash)
+    {
+        if ($this->curve instanceof MontgomeryCurve) {
+            throw new UnsupportedOperationException('Montgomery Curves cannot be used to create signatures');
+        }
+        if ($this->curve instanceof Ed25519 && $hash != 'sha512') {
+            throw new UnsupportedAlgorithmException('Ed25519 only supports sha512 as a hash');
+        }
+        if ($this->curve instanceof Ed448 && $hash != 'shake256-912') {
+            throw new UnsupportedAlgorithmException('Ed448 only supports shake256 with a length of 114 bytes');
+        }
+
+        return parent::withHash($hash);
+    }
+
+    /**
+     * __toString() magic method
+     *
+     * @return string
+     */
+    public function __toString()
+    {
+        if ($this->curve instanceof MontgomeryCurve) {
+            return '';
+        }
+
+        return parent::__toString();
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Base.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Base.php
new file mode 100644
index 000000000..6102c0630
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Base.php
@@ -0,0 +1,220 @@
+<?php
+
+/**
+ * Curve methods common to all curves
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\BaseCurves;
+
+use phpseclib3\Math\Common\FiniteField;
+use phpseclib3\Math\BigInteger;
+
+/**
+ * Base
+ *
+ * @package Prime
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Base
+{
+    /**
+     * Doubles
+     *
+     * @var object[]
+     */
+    protected $doubles;
+
+    /**
+     * NAF Points
+     *
+     * @var int[]
+     */
+    private $naf;
+
+    /**
+     * The Order
+     *
+     * @var BigInteger
+     */
+    protected $order;
+
+    /**
+     * Finite Field Integer factory
+     *
+     * @var \phpseclib3\Math\FiniteField\Integer
+     */
+    protected $factory;
+
+    /**
+     * Returns a random integer
+     *
+     * @return object
+     */
+    public function randomInteger()
+    {
+        return $this->factory->randomInteger();
+    }
+
+    /**
+     * Converts a BigInteger to a FiniteField integer
+     *
+     * @return object
+     */
+    public function convertInteger(BigInteger $x)
+    {
+        return $this->factory->newInteger($x);
+    }
+
+    /**
+     * Returns the length, in bytes, of the modulo
+     *
+     * @return integer
+     */
+    public function getLengthInBytes()
+    {
+        return $this->factory->getLengthInBytes();
+    }
+
+    /**
+     * Returns the length, in bits, of the modulo
+     *
+     * @return integer
+     */
+    public function getLength()
+    {
+        return $this->factory->getLength();
+    }
+
+    /**
+     * Multiply a point on the curve by a scalar
+     *
+     * Uses the montgomery ladder technique as described here:
+     *
+     * https://en.wikipedia.org/wiki/Elliptic_curve_point_multiplication#Montgomery_ladder
+     * https://github.com/phpecc/phpecc/issues/16#issuecomment-59176772
+     *
+     * @return array
+     */
+    public function multiplyPoint(array $p, FiniteField\Integer $d)
+    {
+        $alreadyInternal = isset($p[2]);
+        $r = $alreadyInternal ?
+            [[], $p] :
+            [[], $this->convertToInternal($p)];
+
+        $d = $d->toBits();
+        for ($i = 0; $i < strlen($d); $i++) {
+            $d_i = (int) $d[$i];
+            $r[1 - $d_i] = $this->addPoint($r[0], $r[1]);
+            $r[$d_i] = $this->doublePoint($r[$d_i]);
+        }
+
+        return $alreadyInternal ? $r[0] : $this->convertToAffine($r[0]);
+    }
+
+    /**
+     * Creates a random scalar multiplier
+     *
+     * @return FiniteField
+     */
+    public function createRandomMultiplier()
+    {
+        static $one;
+        if (!isset($one)) {
+            $one = new BigInteger(1);
+        }
+
+        $dA = BigInteger::randomRange($one, $this->order->subtract($one));
+        return $this->factory->newInteger($dA);
+    }
+
+    /**
+     * Sets the Order
+     */
+    public function setOrder(BigInteger $order)
+    {
+        $this->order = $order;
+    }
+
+    /**
+     * Returns the Order
+     *
+     * @return \phpseclib3\Math\BigInteger
+     */
+    public function getOrder()
+    {
+        return $this->order;
+    }
+
+    /**
+     * Use a custom defined modular reduction function
+     *
+     * @return object
+     */
+    public function setReduction(callable $func)
+    {
+        $this->factory->setReduction($func);
+    }
+
+    /**
+     * Returns the affine point
+     *
+     * @return object[]
+     */
+    public function convertToAffine(array $p)
+    {
+        return $p;
+    }
+
+    /**
+     * Converts an affine point to a jacobian coordinate
+     *
+     * @return object[]
+     */
+    public function convertToInternal(array $p)
+    {
+        return $p;
+    }
+
+    /**
+     * Negates a point
+     *
+     * @return object[]
+     */
+    public function negatePoint(array $p)
+    {
+        $temp = [
+            $p[0],
+            $p[1]->negate()
+        ];
+        if (isset($p[2])) {
+            $temp[] = $p[2];
+        }
+        return $temp;
+    }
+
+    /**
+     * Multiply and Add Points
+     *
+     * @return int[]
+     */
+    public function multiplyAddPoints(array $points, array $scalars)
+    {
+        $p1 = $this->convertToInternal($points[0]);
+        $p2 = $this->convertToInternal($points[1]);
+        $p1 = $this->multiplyPoint($p1, $scalars[0]);
+        $p2 = $this->multiplyPoint($p2, $scalars[1]);
+        $r = $this->addPoint($p1, $p2);
+        return $this->convertToAffine($r);
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Binary.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Binary.php
new file mode 100644
index 000000000..d984ba4b4
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Binary.php
@@ -0,0 +1,378 @@
+<?php
+
+/**
+ * Curves over y^2 + x*y = x^3 + a*x^2 + b
+ *
+ * These are curves used in SEC 2 over prime fields: http://www.secg.org/SEC2-Ver-1.0.pdf
+ * The curve is a weierstrass curve with a[3] and a[2] set to 0.
+ *
+ * Uses Jacobian Coordinates for speed if able:
+ *
+ * https://en.wikipedia.org/wiki/Jacobian_curve
+ * https://en.wikibooks.org/wiki/Cryptography/Prime_Curve/Jacobian_Coordinates
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\BaseCurves;
+
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Math\BinaryField;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Math\BinaryField\Integer as BinaryInteger;
+
+/**
+ * Curves over y^2 + x*y = x^3 + a*x^2 + b
+ *
+ * @package Binary
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class Binary extends Base
+{
+    /**
+     * Binary Field Integer factory
+     *
+     * @var \phpseclib3\Math\BinaryField
+     */
+    protected $factory;
+
+    /**
+     * Cofficient for x^1
+     *
+     * @var object
+     */
+    protected $a;
+
+    /**
+     * Cofficient for x^0
+     *
+     * @var object
+     */
+    protected $b;
+
+    /**
+     * Base Point
+     *
+     * @var object
+     */
+    protected $p;
+
+    /**
+     * The number one over the specified finite field
+     *
+     * @var object
+     */
+    protected $one;
+
+    /**
+     * The modulo
+     *
+     * @var BigInteger
+     */
+    protected $modulo;
+
+    /**
+     * The Order
+     *
+     * @var BigInteger
+     */
+    protected $order;
+
+    /**
+     * Sets the modulo
+     */
+    public function setModulo(...$modulo)
+    {
+        $this->modulo = $modulo;
+        $this->factory = new BinaryField(...$modulo);
+
+        $this->one = $this->factory->newInteger("\1");
+    }
+
+    /**
+     * Set coefficients a and b
+     *
+     * @param string $a
+     * @param string $b
+     */
+    public function setCoefficients($a, $b)
+    {
+        if (!isset($this->factory)) {
+            throw new \RuntimeException('setModulo needs to be called before this method');
+        }
+        $this->a = $this->factory->newInteger(pack('H*', $a));
+        $this->b = $this->factory->newInteger(pack('H*', $b));
+    }
+
+    /**
+     * Set x and y coordinates for the base point
+     *
+     * @param string|BinaryInteger $x
+     * @param string|BinaryInteger $y
+     */
+    public function setBasePoint($x, $y)
+    {
+        switch (true) {
+            case !is_string($x) && !$x instanceof BinaryInteger:
+                throw new \UnexpectedValueException('Argument 1 passed to Binary::setBasePoint() must be a string or an instance of BinaryField\Integer');
+            case !is_string($y) && !$y instanceof BinaryInteger:
+                throw new \UnexpectedValueException('Argument 2 passed to Binary::setBasePoint() must be a string or an instance of BinaryField\Integer');
+        }
+        if (!isset($this->factory)) {
+            throw new \RuntimeException('setModulo needs to be called before this method');
+        }
+        $this->p = [
+            is_string($x) ? $this->factory->newInteger(pack('H*', $x)) : $x,
+            is_string($y) ? $this->factory->newInteger(pack('H*', $y)) : $y
+        ];
+    }
+
+    /**
+     * Retrieve the base point as an array
+     *
+     * @return array
+     */
+    public function getBasePoint()
+    {
+        if (!isset($this->factory)) {
+            throw new \RuntimeException('setModulo needs to be called before this method');
+        }
+        /*
+        if (!isset($this->p)) {
+            throw new \RuntimeException('setBasePoint needs to be called before this method');
+        }
+        */
+        return $this->p;
+    }
+
+    /**
+     * Adds two points on the curve
+     *
+     * @return FiniteField[]
+     */
+    public function addPoint(array $p, array $q)
+    {
+        if (!isset($this->factory)) {
+            throw new \RuntimeException('setModulo needs to be called before this method');
+        }
+
+        if (!count($p) || !count($q)) {
+            if (count($q)) {
+                return $q;
+            }
+            if (count($p)) {
+                return $p;
+            }
+            return [];
+        }
+
+        if (!isset($p[2]) || !isset($q[2])) {
+            throw new \RuntimeException('Affine coordinates need to be manually converted to "Jacobi" coordinates or vice versa');
+        }
+
+        if ($p[0]->equals($q[0])) {
+            return !$p[1]->equals($q[1]) ? [] : $this->doublePoint($p);
+        }
+
+        // formulas from http://hyperelliptic.org/EFD/g12o/auto-shortw-jacobian.html
+
+        list($x1, $y1, $z1) = $p;
+        list($x2, $y2, $z2) = $q;
+
+        $o1 = $z1->multiply($z1);
+        $b = $x2->multiply($o1);
+
+        if ($z2->equals($this->one)) {
+            $d = $y2->multiply($o1)->multiply($z1);
+            $e = $x1->add($b);
+            $f = $y1->add($d);
+            $z3 = $e->multiply($z1);
+            $h = $f->multiply($x2)->add($z3->multiply($y2));
+            $i = $f->add($z3);
+            $g = $z3->multiply($z3);
+            $p1 = $this->a->multiply($g);
+            $p2 = $f->multiply($i);
+            $p3 = $e->multiply($e)->multiply($e);
+            $x3 = $p1->add($p2)->add($p3);
+            $y3 = $i->multiply($x3)->add($g->multiply($h));
+
+            return [$x3, $y3, $z3];
+        }
+
+        $o2 = $z2->multiply($z2);
+        $a = $x1->multiply($o2);
+        $c = $y1->multiply($o2)->multiply($z2);
+        $d = $y2->multiply($o1)->multiply($z1);
+        $e = $a->add($b);
+        $f = $c->add($d);
+        $g = $e->multiply($z1);
+        $h = $f->multiply($x2)->add($g->multiply($y2));
+        $z3 = $g->multiply($z2);
+        $i = $f->add($z3);
+        $p1 = $this->a->multiply($z3->multiply($z3));
+        $p2 = $f->multiply($i);
+        $p3 = $e->multiply($e)->multiply($e);
+        $x3 = $p1->add($p2)->add($p3);
+        $y3 = $i->multiply($x3)->add($g->multiply($g)->multiply($h));
+
+        return [$x3, $y3, $z3];
+    }
+
+    /**
+     * Doubles a point on a curve
+     *
+     * @return FiniteField[]
+     */
+    public function doublePoint(array $p)
+    {
+        if (!isset($this->factory)) {
+            throw new \RuntimeException('setModulo needs to be called before this method');
+        }
+
+        if (!count($p)) {
+            return [];
+        }
+
+        if (!isset($p[2])) {
+            throw new \RuntimeException('Affine coordinates need to be manually converted to "Jacobi" coordinates or vice versa');
+        }
+
+        // formulas from http://hyperelliptic.org/EFD/g12o/auto-shortw-jacobian.html
+
+        list($x1, $y1, $z1) = $p;
+
+        $a = $x1->multiply($x1);
+        $b = $a->multiply($a);
+
+        if ($z1->equals($this->one)) {
+            $x3 = $b->add($this->b);
+            $z3 = clone $x1;
+            $p1 = $a->add($y1)->add($z3)->multiply($this->b);
+            $p2 = $a->add($y1)->multiply($b);
+            $y3 = $p1->add($p2);
+
+            return [$x3, $y3, $z3];
+        }
+
+        $c = $z1->multiply($z1);
+        $d = $c->multiply($c);
+        $x3 = $b->add($this->b->multiply($d->multiply($d)));
+        $z3 = $x1->multiply($c);
+        $p1 = $b->multiply($z3);
+        $p2 = $a->add($y1->multiply($z1))->add($z3)->multiply($x3);
+        $y3 = $p1->add($p2);
+
+        return [$x3, $y3, $z3];
+    }
+
+    /**
+     * Returns the X coordinate and the derived Y coordinate
+     *
+     * Not supported because it is covered by patents.
+     * Quoting https://www.openssl.org/docs/man1.1.0/apps/ecparam.html ,
+     * 
+     * "Due to patent issues the compressed option is disabled by default for binary curves
+     *  and can be enabled by defining the preprocessor macro OPENSSL_EC_BIN_PT_COMP at
+     *  compile time."
+     *
+     * @return array
+     */
+    public function derivePoint($m)
+    {
+        throw new \RuntimeException('Point compression on binary finite field elliptic curves is not supported');
+    }
+
+    /**
+     * Tests whether or not the x / y values satisfy the equation
+     *
+     * @return boolean
+     */
+    public function verifyPoint(array $p)
+    {
+        list($x, $y) = $p;
+        $lhs = $y->multiply($y);
+        $lhs = $lhs->add($x->multiply($y));
+        $x2 = $x->multiply($x);
+        $x3 = $x2->multiply($x);
+        $rhs = $x3->add($this->a->multiply($x2))->add($this->b);
+
+        return $lhs->equals($rhs);
+    }
+
+    /**
+     * Returns the modulo
+     *
+     * @return \phpseclib3\Math\BigInteger
+     */
+    public function getModulo()
+    {
+        return $this->modulo;
+    }
+
+    /**
+     * Returns the a coefficient
+     *
+     * @return \phpseclib3\Math\PrimeField\Integer
+     */
+    public function getA()
+    {
+        return $this->a;
+    }
+
+    /**
+     * Returns the a coefficient
+     *
+     * @return \phpseclib3\Math\PrimeField\Integer
+     */
+    public function getB()
+    {
+        return $this->b;
+    }
+
+    /**
+     * Returns the affine point
+     *
+     * A Jacobian Coordinate is of the form (x, y, z).
+     * To convert a Jacobian Coordinate to an Affine Point
+     * you do (x / z^2, y / z^3)
+     *
+     * @return \phpseclib3\Math\PrimeField\Integer[]
+     */
+    public function convertToAffine(array $p)
+    {
+        if (!isset($p[2])) {
+            return $p;
+        }
+        list($x, $y, $z) = $p;
+        $z = $this->one->divide($z);
+        $z2 = $z->multiply($z);
+        return [
+            $x->multiply($z2),
+            $y->multiply($z2)->multiply($z)
+        ];
+    }
+
+    /**
+     * Converts an affine point to a jacobian coordinate
+     *
+     * @return \phpseclib3\Math\PrimeField\Integer[]
+     */
+    public function convertToInternal(array $p)
+    {
+        if (isset($p[2])) {
+            return $p;
+        }
+ 
+        $p[2] = clone $this->one;
+        $p['fresh'] = true;
+        return $p;
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php
new file mode 100644
index 000000000..0a93f5126
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php
@@ -0,0 +1,325 @@
+<?php
+
+/**
+ * Generalized Koblitz Curves over y^2 = x^3 + b.
+ *
+ * According to http://www.secg.org/SEC2-Ver-1.0.pdf Koblitz curves are over the GF(2**m)
+ * finite field. Both the $a$ and $b$ coefficients are either 0 or 1. However, SEC2
+ * generalizes the definition to include curves over GF(P) "which possess an efficiently
+ * computable endomorphism".
+ *
+ * For these generalized Koblitz curves $b$ doesn't have to be 0 or 1. Whether or not $a$
+ * has any restrictions on it is unclear, however, for all the GF(P) Koblitz curves defined
+ * in SEC2 v1.0 $a$ is $0$ so all of the methods defined herein will assume that it is.
+ *
+ * I suppose we could rename the $b$ coefficient to $a$, however, the documentation refers
+ * to $b$ so we'll just keep it.
+ *
+ * If a later version of SEC2 comes out wherein some $a$ values are non-zero we can create a
+ * new method for those. eg. KoblitzA1Prime.php or something.
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\BaseCurves;
+
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Math\PrimeField;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Math\PrimeField\Integer as PrimeInteger;
+
+/**
+ * Curves over y^2 = x^3 + b
+ *
+ * @package KoblitzPrime
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class KoblitzPrime extends Prime
+{
+    // don't overwrite setCoefficients() with one that only accepts one parameter so that
+    // one might be able to switch between KoblitzPrime and Prime more easily (for benchmarking
+    // purposes).
+
+    /**
+     * Multiply and Add Points
+     *
+     * Uses a efficiently computable endomorphism to achieve a slight speedup
+     *
+     * Adapted from https://git.io/vxbrP
+     *
+     * @return int[]
+     */
+    public function multiplyAddPoints(array $points, array $scalars)
+    {
+        static $zero, $one, $two;
+        if (!isset($two)) {
+            $two = new BigInteger(2);
+            $one = new BigInteger(1);
+        }
+
+        if (!isset($this->beta)) {
+            // get roots
+            $inv = $this->one->divide($this->two)->negate();
+            $s = $this->three->negate()->squareRoot()->multiply($inv);
+            $betas = [
+                $inv->add($s),
+                $inv->subtract($s)
+            ];
+            $this->beta = $betas[0]->compare($betas[1]) < 0 ? $betas[0] : $betas[1];
+            //echo strtoupper($this->beta->toHex(true)) . "\n"; exit;
+        }
+
+        if (!isset($this->basis)) {
+            $factory = new PrimeField($this->order);
+            $tempOne = $factory->newInteger($one);
+            $tempTwo = $factory->newInteger($two);
+            $tempThree = $factory->newInteger(new BigInteger(3));
+
+            $inv = $tempOne->divide($tempTwo)->negate();
+            $s = $tempThree->negate()->squareRoot()->multiply($inv);
+
+            $lambdas = [
+                $inv->add($s),
+                $inv->subtract($s)
+            ];
+
+            $lhs = $this->multiplyPoint($this->p, $lambdas[0])[0];
+            $rhs = $this->p[0]->multiply($this->beta);
+            $lambda = $lhs->equals($rhs) ? $lambdas[0] : $lambdas[1];
+
+            $this->basis = static::extendedGCD($lambda->toBigInteger(), $this->order);
+            ///*
+            foreach ($this->basis as $basis) {
+                echo strtoupper($basis['a']->toHex(true)) . "\n";
+                echo strtoupper($basis['b']->toHex(true)) . "\n\n";
+            }
+            exit;
+            //*/
+        }
+
+        $npoints = $nscalars = [];
+        for ($i = 0; $i < count($points); $i++) {
+            $p = $points[$i];
+            $k = $scalars[$i]->toBigInteger();
+
+            // begin split
+            list($v1, $v2) = $this->basis;
+
+            $c1 = $v2['b']->multiply($k);
+            list($c1, $r) = $c1->divide($this->order);
+            if ($this->order->compare($r->multiply($two)) <= 0) {
+                $c1 = $c1->add($one);
+            }
+
+            $c2 = $v1['b']->negate()->multiply($k);
+            list($c2, $r) = $c2->divide($this->order);
+            if ($this->order->compare($r->multiply($two)) <= 0) {
+                $c2 = $c2->add($one);
+            }
+
+            $p1 = $c1->multiply($v1['a']);
+            $p2 = $c2->multiply($v2['a']);
+            $q1 = $c1->multiply($v1['b']);
+            $q2 = $c2->multiply($v2['b']);
+
+            $k1 = $k->subtract($p1)->subtract($p2);
+            $k2 = $q1->add($q2)->negate();
+            // end split
+
+            $beta = [
+                $p[0]->multiply($this->beta),
+                $p[1],
+                clone $this->one
+            ];
+
+            if (isset($p['naf'])) {
+                $beta['naf'] = array_map(function($p) {
+                    return [
+                        $p[0]->multiply($this->beta),
+                        $p[1],
+                        clone $this->one
+                    ];
+                }, $p['naf']);
+                $beta['nafwidth'] = $p['nafwidth'];
+            }
+
+            if ($k1->isNegative()) {
+                $k1 = $k1->negate();
+                $p = $this->negatePoint($p);
+            }
+
+            if ($k2->isNegative()) {
+                $k2 = $k2->negate();
+                $beta = $this->negatePoint($beta);
+            }
+
+            $pos = 2 * $i;
+            $npoints[$pos] = $p;
+            $nscalars[$pos] = $this->factory->newInteger($k1);
+
+            $pos++;
+            $npoints[$pos] = $beta;
+            $nscalars[$pos] = $this->factory->newInteger($k2);
+        }
+
+        return parent::multiplyAddPoints($npoints, $nscalars);
+    }
+
+    /**
+     * Returns the numerator and denominator of the slope
+     *
+     * @return FiniteField[]
+     */
+    protected function doublePointHelper(array $p)
+    {
+        $numerator = $this->three->multiply($p[0])->multiply($p[0]);
+        $denominator = $this->two->multiply($p[1]);
+        return [$numerator, $denominator];
+    }
+
+    /**
+     * Doubles a jacobian coordinate on the curve
+     *
+     * See http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#doubling-dbl-2009-l
+     *
+     * @return FiniteField[]
+     */
+    protected function jacobianDoublePoint(array $p)
+    {
+        list($x1, $y1, $z1) = $p;
+        $a = $x1->multiply($x1);
+        $b = $y1->multiply($y1);
+        $c = $b->multiply($b);
+        $d = $x1->add($b);
+        $d = $d->multiply($d)->subtract($a)->subtract($c)->multiply($this->two);
+        $e = $this->three->multiply($a);
+        $f = $e->multiply($e);
+        $x3 = $f->subtract($this->two->multiply($d));
+        $y3 = $e->multiply($d->subtract($x3))->subtract(
+              $this->eight->multiply($c));
+        $z3 = $this->two->multiply($y1)->multiply($z1);
+        return [$x3, $y3, $z3];
+    }
+
+    /**
+     * Doubles a "fresh" jacobian coordinate on the curve
+     *
+     * See http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#doubling-mdbl-2007-bl
+     *
+     * @return FiniteField[]
+     */
+    protected function jacobianDoublePointMixed(array $p)
+    {
+        list($x1, $y1) = $p;
+        $xx = $x1->multiply($x1);
+        $yy = $y1->multiply($y1);
+        $yyyy = $yy->multiply($yy);
+        $s = $x1->add($yy);
+        $s = $s->multiply($s)->subtract($xx)->subtract($yyyy)->multiply($this->two);
+        $m = $this->three->multiply($xx);
+        $t = $m->multiply($m)->subtract($this->two->multiply($s));
+        $x3 = $t;
+        $y3 = $s->subtract($t);
+        $y3 = $m->multiply($y3)->subtract($this->eight->multiply($yyyy));
+        $z3 = $this->two->multiply($y1);
+        return [$x3, $y3, $z3];
+    }
+
+    /**
+     * Tests whether or not the x / y values satisfy the equation
+     *
+     * @return boolean
+     */
+    public function verifyPoint(array $p)
+    {
+        list($x, $y) = $p;
+        $lhs = $y->multiply($y);
+        $temp = $x->multiply($x)->multiply($x);
+        $rhs = $temp->add($this->b);
+
+        return $lhs->equals($rhs);
+    }
+
+    /**
+     * Calculates the parameters needed from the Euclidean algorithm as discussed at
+     * http://diamond.boisestate.edu/~liljanab/MATH308/GuideToECC.pdf#page=148
+     *
+     * @param BigInteger $u
+     * @param BigInteger $v
+     * @return BigInteger[]
+     */
+    protected static function extendedGCD(BigInteger $u, BigInteger $v)
+    {
+        $one = new BigInteger(1);
+        $zero = new BigInteger();
+
+        $a = clone $one;
+        $b = clone $zero;
+        $c = clone $zero;
+        $d = clone $one;
+
+        $stop = $v->bitwise_rightShift($v->getLength() >> 1);
+
+        $a1 = clone $zero;
+        $b1 = clone $zero;
+        $a2 = clone $zero;
+        $b2 = clone $zero;
+
+        $postGreatestIndex = 0;
+
+        while (!$v->equals($zero)) {
+            list($q) = $u->divide($v);
+
+            $temp = $u;
+            $u = $v;
+            $v = $temp->subtract($v->multiply($q));
+
+            $temp = $a;
+            $a = $c;
+            $c = $temp->subtract($a->multiply($q));
+
+            $temp = $b;
+            $b = $d;
+            $d = $temp->subtract($b->multiply($q));
+
+            if ($v->compare($stop) > 0) {
+                $a0 = $v;
+                $b0 = $c;
+            } else {
+                $postGreatestIndex++;
+            }
+
+            if ($postGreatestIndex == 1) {
+                $a1 = $v;
+                $b1 = $c->negate();
+            }
+
+            if ($postGreatestIndex == 2) {
+                $rhs = $a0->multiply($a0)->add($b0->multiply($b0));
+                $lhs = $v->multiply($v)->add($b->multiply($b));
+                if ($lhs->compare($rhs) <= 0) {
+                    $a2 = $a0;
+                    $b2 = $b0->negate();
+                } else {
+                    $a2 = $v;
+                    $b2 = $c->negate();
+                }
+
+                break;
+            }
+        }
+
+        return [
+            ['a' => $a1, 'b' => $b1],
+            ['a' => $a2, 'b' => $b2]
+        ];
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Montgomery.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Montgomery.php
new file mode 100644
index 000000000..b4bba650a
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Montgomery.php
@@ -0,0 +1,285 @@
+<?php
+
+/**
+ * Curves over y^2 = x^3 + a*x + x
+ *
+ * Technically, a Montgomery curve has a coefficient for y^2 but for Curve25519 and Curve448 that
+ * coefficient is 1.
+ *
+ * Curve25519 and Curve448 do not make use of the y coordinate, which makes it unsuitable for use
+ * with ECDSA / EdDSA. A few other differences between Curve25519 and Ed25519 are discussed at
+ * https://crypto.stackexchange.com/a/43058/4520
+ *
+ * More info:
+ *
+ * https://en.wikipedia.org/wiki/Montgomery_curve
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2019 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\BaseCurves;
+
+use phpseclib3\Math\Common\FiniteField\Integer;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Math\PrimeField;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Crypt\EC\Curves\Curve25519;
+use phpseclib3\Math\PrimeField\Integer as PrimeInteger;
+
+/**
+ * Curves over y^2 = x^3 + a*x + x
+ *
+ * @package EC
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class Montgomery extends Base
+{
+    /**
+     * Prime Field Integer factory
+     *
+     * @var \phpseclib3\Math\PrimeField
+     */
+    protected $factory;
+
+    /**
+     * Cofficient for x
+     *
+     * @var object
+     */
+    protected $a;
+
+    /**
+     * Constant used for point doubling
+     *
+     * @var object
+     */
+    protected $a24;
+
+    /**
+     * The Number Zero
+     *
+     * @var object
+     */
+    protected $zero;
+
+    /**
+     * The Number One
+     *
+     * @var object
+     */
+    protected $one;
+
+    /**
+     * Base Point
+     *
+     * @var object
+     */
+    protected $p;
+
+    /**
+     * The modulo
+     *
+     * @var BigInteger
+     */
+    protected $modulo;
+
+    /**
+     * The Order
+     *
+     * @var BigInteger
+     */
+    protected $order;
+
+    /**
+     * Sets the modulo
+     */
+    public function setModulo(BigInteger $modulo)
+    {
+        $this->modulo = $modulo;
+        $this->factory = new PrimeField($modulo);
+        $this->zero = $this->factory->newInteger(new BigInteger());
+        $this->one = $this->factory->newInteger(new BigInteger(1));
+    }
+
+    /**
+     * Set coefficients a
+     */
+    public function setCoefficients(BigInteger $a)
+    {
+        if (!isset($this->factory)) {
+            throw new \RuntimeException('setModulo needs to be called before this method');
+        }
+        $this->a = $this->factory->newInteger($a);
+        $two = $this->factory->newInteger(new BigInteger(2));
+        $four = $this->factory->newInteger(new BigInteger(4));
+        $this->a24 = $this->a->subtract($two)->divide($four);
+    }
+
+    /**
+     * Set x and y coordinates for the base point
+     *
+     * @param BigInteger|PrimeInteger $x
+     * @param BigInteger|PrimeInteger $y
+     * @return PrimeInteger[]
+     */
+    public function setBasePoint($x, $y)
+    {
+        switch (true) {
+            case !$x instanceof BigInteger && !$x instanceof PrimeInteger:
+                throw new \UnexpectedValueException('Argument 1 passed to Prime::setBasePoint() must be an instance of either BigInteger or PrimeField\Integer');
+            case !$y instanceof BigInteger && !$y instanceof PrimeInteger:
+                throw new \UnexpectedValueException('Argument 2 passed to Prime::setBasePoint() must be an instance of either BigInteger or PrimeField\Integer');
+        }
+        if (!isset($this->factory)) {
+            throw new \RuntimeException('setModulo needs to be called before this method');
+        }
+        $this->p = [
+            $x instanceof BigInteger ? $this->factory->newInteger($x) : $x,
+            $y instanceof BigInteger ? $this->factory->newInteger($y) : $y
+        ];
+    }
+
+    /**
+     * Retrieve the base point as an array
+     *
+     * @return array
+     */
+    public function getBasePoint()
+    {
+        if (!isset($this->factory)) {
+            throw new \RuntimeException('setModulo needs to be called before this method');
+        }
+        /*
+        if (!isset($this->p)) {
+            throw new \RuntimeException('setBasePoint needs to be called before this method');
+        }
+        */
+        return $this->p;
+    }
+
+    /**
+     * Doubles and adds a point on a curve
+     *
+     * See https://tools.ietf.org/html/draft-ietf-tls-curve25519-01#appendix-A.1.3
+     *
+     * @return FiniteField[][]
+     */
+    private function doubleAndAddPoint(array $p, array $q, PrimeInteger $x1)
+    {
+        if (!isset($this->factory)) {
+            throw new \RuntimeException('setModulo needs to be called before this method');
+        }
+
+        if (!count($p) || !count($q)) {
+            return [];
+        }
+
+        if (!isset($p[1])) {
+            throw new \RuntimeException('Affine coordinates need to be manually converted to XZ coordinates');
+        }
+
+        list($x2, $z2) = $p;
+        list($x3, $z3) = $q;
+
+        $a = $x2->add($z2);
+        $aa = $a->multiply($a);
+        $b = $x2->subtract($z2);
+        $bb = $b->multiply($b);
+        $e = $aa->subtract($bb);
+        $c = $x3->add($z3);
+        $d = $x3->subtract($z3);
+        $da = $d->multiply($a);
+        $cb = $c->multiply($b);
+        $temp = $da->add($cb);
+        $x5 = $temp->multiply($temp);
+        $temp = $da->subtract($cb);
+        $z5 = $x1->multiply($temp->multiply($temp));
+        $x4 = $aa->multiply($bb);
+        $temp = static::class == Curve25519::class ? $bb : $aa;
+        $z4 = $e->multiply($temp->add($this->a24->multiply($e)));
+
+        return [
+            [$x4, $z4],
+            [$x5, $z5]
+        ];
+    }
+
+    /**
+     * Multiply a point on the curve by a scalar
+     *
+     * Uses the montgomery ladder technique as described here:
+     *
+     * https://en.wikipedia.org/wiki/Elliptic_curve_point_multiplication#Montgomery_ladder
+     * https://github.com/phpecc/phpecc/issues/16#issuecomment-59176772
+     *
+     * @return array
+     */
+    public function multiplyPoint(array $p, Integer $d)
+    {
+        $p1 = [$this->one, $this->zero];
+        $alreadyInternal = isset($x[1]);
+        $p2 = $this->convertToInternal($p);
+        $x = $p[0];
+
+        $b = $d->toBits();
+        $b = str_pad($b, 256, '0', STR_PAD_LEFT);
+        for ($i = 0; $i < strlen($b); $i++) {
+            $b_i = (int) $b[$i];
+            if ($b_i) {
+                list($p2, $p1) = $this->doubleAndAddPoint($p2, $p1, $x);
+            } else {
+                list($p1, $p2) = $this->doubleAndAddPoint($p1, $p2, $x);
+            }
+        }
+
+        return $alreadyInternal ? $p1 : $this->convertToAffine($p1);
+    }
+
+    /**
+     * Converts an affine point to an XZ coordinate
+     *
+     * From https://hyperelliptic.org/EFD/g1p/auto-montgom-xz.html
+     *
+     * XZ coordinates represent x y as X Z satsfying the following equations:
+     *
+     *   x=X/Z
+     *
+     * @return \phpseclib3\Math\PrimeField\Integer[]
+     */
+    public function convertToInternal(array $p)
+    {
+        if (empty($p)) {
+            return [clone $this->zero, clone $this->one];
+        }
+
+        if (isset($p[1])) {
+            return $p;
+        }
+
+        $p[1] = clone $this->one;
+
+        return $p;
+    }
+
+    /**
+     * Returns the affine point
+     *
+     * @return \phpseclib3\Math\PrimeField\Integer[]
+     */
+    public function convertToAffine(array $p)
+    {
+        if (!isset($p[1])) {
+            return $p;
+        }
+        list($x, $z) = $p;
+        return [$x->divide($z)];
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php
new file mode 100644
index 000000000..07606cfa7
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php
@@ -0,0 +1,774 @@
+<?php
+
+/**
+ * Curves over y^2 = x^3 + a*x + b
+ *
+ * These are curves used in SEC 2 over prime fields: http://www.secg.org/SEC2-Ver-1.0.pdf
+ * The curve is a weierstrass curve with a[1], a[3] and a[2] set to 0.
+ *
+ * Uses Jacobian Coordinates for speed if able:
+ *
+ * https://en.wikipedia.org/wiki/Jacobian_curve
+ * https://en.wikibooks.org/wiki/Cryptography/Prime_Curve/Jacobian_Coordinates
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\BaseCurves;
+
+use phpseclib3\Math\Common\FiniteField\Integer;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Math\PrimeField;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Math\PrimeField\Integer as PrimeInteger;
+
+/**
+ * Curves over y^2 = x^3 + a*x + b
+ *
+ * @package Prime
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class Prime extends Base
+{
+    /**
+     * Prime Field Integer factory
+     *
+     * @var \phpseclib3\Math\PrimeFields
+     */
+    protected $factory;
+
+    /**
+     * Cofficient for x^1
+     *
+     * @var object
+     */
+    protected $a;
+
+    /**
+     * Cofficient for x^0
+     *
+     * @var object
+     */
+    protected $b;
+
+    /**
+     * Base Point
+     *
+     * @var object
+     */
+    protected $p;
+
+    /**
+     * The number one over the specified finite field
+     *
+     * @var object
+     */
+    protected $one;
+
+    /**
+     * The number two over the specified finite field
+     *
+     * @var object
+     */
+    protected $two;
+
+    /**
+     * The number three over the specified finite field
+     *
+     * @var object
+     */
+    protected $three;
+
+    /**
+     * The number four over the specified finite field
+     *
+     * @var object
+     */
+    protected $four;
+
+    /**
+     * The number eight over the specified finite field
+     *
+     * @var object
+     */
+    protected $eight;
+
+    /**
+     * The modulo
+     *
+     * @var BigInteger
+     */
+    protected $modulo;
+
+    /**
+     * The Order
+     *
+     * @var BigInteger
+     */
+    protected $order;
+
+    /**
+     * Sets the modulo
+     */
+    public function setModulo(BigInteger $modulo)
+    {
+        $this->modulo = $modulo;
+        $this->factory = new PrimeField($modulo);
+        $this->two = $this->factory->newInteger(new BigInteger(2));
+        $this->three = $this->factory->newInteger(new BigInteger(3));
+        // used by jacobian coordinates
+        $this->one = $this->factory->newInteger(new BigInteger(1));
+        $this->four = $this->factory->newInteger(new BigInteger(4));
+        $this->eight = $this->factory->newInteger(new BigInteger(8));
+    }
+
+    /**
+     * Set coefficients a and b
+     */
+    public function setCoefficients(BigInteger $a, BigInteger $b)
+    {
+        if (!isset($this->factory)) {
+            throw new \RuntimeException('setModulo needs to be called before this method');
+        }
+        $this->a = $this->factory->newInteger($a);
+        $this->b = $this->factory->newInteger($b);
+    }
+
+    /**
+     * Set x and y coordinates for the base point
+     *
+     * @param BigInteger|PrimeInteger $x
+     * @param BigInteger|PrimeInteger $y
+     * @return PrimeInteger[]
+     */
+    public function setBasePoint($x, $y)
+    {
+        switch (true) {
+            case !$x instanceof BigInteger && !$x instanceof PrimeInteger:
+                throw new \UnexpectedValueException('Argument 1 passed to Prime::setBasePoint() must be an instance of either BigInteger or PrimeField\Integer');
+            case !$y instanceof BigInteger && !$y instanceof PrimeInteger:
+                throw new \UnexpectedValueException('Argument 2 passed to Prime::setBasePoint() must be an instance of either BigInteger or PrimeField\Integer');
+        }
+        if (!isset($this->factory)) {
+            throw new \RuntimeException('setModulo needs to be called before this method');
+        }
+        $this->p = [
+            $x instanceof BigInteger ? $this->factory->newInteger($x) : $x,
+            $y instanceof BigInteger ? $this->factory->newInteger($y) : $y
+        ];
+    }
+
+    /**
+     * Retrieve the base point as an array
+     *
+     * @return array
+     */
+    public function getBasePoint()
+    {
+        if (!isset($this->factory)) {
+            throw new \RuntimeException('setModulo needs to be called before this method');
+        }
+        /*
+        if (!isset($this->p)) {
+            throw new \RuntimeException('setBasePoint needs to be called before this method');
+        }
+        */
+        return $this->p;
+    }
+
+    /**
+     * Adds two "fresh" jacobian form on the curve
+     *
+     * @return FiniteField[]
+     */
+    protected function jacobianAddPointMixedXY(array $p, array $q)
+    {
+        list($u1, $s1) = $p;
+        list($u2, $s2) = $q;
+        if ($u1->equals($u2)) {
+            if (!$s1->equals($s2)) {
+                return [];
+            } else {
+                return $this->doublePoint($p);
+            }
+        }
+        $h = $u2->subtract($u1);
+        $r = $s2->subtract($s1);
+        $h2 = $h->multiply($h);
+        $h3 = $h2->multiply($h);
+        $v = $u1->multiply($h2);
+        $x3 = $r->multiply($r)->subtract($h3)->subtract($v->multiply($this->two));
+        $y3 = $r->multiply(
+            $v->subtract($x3))->subtract(
+            $s1->multiply($h3));
+        return [$x3, $y3, $h];
+    }
+
+    /**
+     * Adds one "fresh" jacobian form on the curve
+     *
+     * The second parameter should be the "fresh" one
+     *
+     * @return FiniteField[]
+     */
+    protected function jacobianAddPointMixedX(array $p, array $q)
+    {
+        list($u1, $s1, $z1) = $p;
+        list($x2, $y2) = $q;
+
+        $z12 = $z1->multiply($z1);
+
+        $u2 = $x2->multiply($z12);
+        $s2 = $y2->multiply($z12->multiply($z1));
+        if ($u1->equals($u2)) {
+            if (!$s1->equals($s2)) {
+                return [];
+            } else {
+                return $this->doublePoint($p);
+            }
+        }
+        $h = $u2->subtract($u1);
+        $r = $s2->subtract($s1);
+        $h2 = $h->multiply($h);
+        $h3 = $h2->multiply($h);
+        $v = $u1->multiply($h2);
+        $x3 = $r->multiply($r)->subtract($h3)->subtract($v->multiply($this->two));
+        $y3 = $r->multiply(
+            $v->subtract($x3))->subtract(
+            $s1->multiply($h3));
+        $z3 = $h->multiply($z1);
+        return [$x3, $y3, $z3];
+    }
+
+    /**
+     * Adds two jacobian coordinates on the curve
+     *
+     * @return FiniteField[]
+     */
+    protected function jacobianAddPoint(array $p, array $q)
+    {
+        list($x1, $y1, $z1) = $p;
+        list($x2, $y2, $z2) = $q;
+
+        $z12 = $z1->multiply($z1);
+        $z22 = $z2->multiply($z2);
+
+        $u1 = $x1->multiply($z22);
+        $u2 = $x2->multiply($z12);
+        $s1 = $y1->multiply($z22->multiply($z2));
+        $s2 = $y2->multiply($z12->multiply($z1));
+        if ($u1->equals($u2)) {
+            if (!$s1->equals($s2)) {
+                return [];
+            } else {
+                return $this->doublePoint($p);
+            }
+        }
+        $h = $u2->subtract($u1);
+        $r = $s2->subtract($s1);
+        $h2 = $h->multiply($h);
+        $h3 = $h2->multiply($h);
+        $v = $u1->multiply($h2);
+        $x3 = $r->multiply($r)->subtract($h3)->subtract($v->multiply($this->two));
+        $y3 = $r->multiply(
+            $v->subtract($x3))->subtract(
+            $s1->multiply($h3));
+        $z3 = $h->multiply($z1)->multiply($z2);
+        return [$x3, $y3, $z3];
+    }
+
+    /**
+     * Adds two points on the curve
+     *
+     * @return FiniteField[]
+     */
+    public function addPoint(array $p, array $q)
+    {
+        if (!isset($this->factory)) {
+            throw new \RuntimeException('setModulo needs to be called before this method');
+        }
+
+        if (!count($p) || !count($q)) {
+            if (count($q)) {
+                return $q;
+            }
+            if (count($p)) {
+                return $p;
+            }
+            return [];
+        }
+
+        // use jacobian coordinates
+        if (isset($p[2]) && isset($q[2])) {
+            if (isset($p['fresh']) && isset($q['fresh'])) {
+                return $this->jacobianAddPointMixedXY($p, $q);
+            }
+            if (isset($p['fresh'])) {
+                return $this->jacobianAddPointMixedX($q, $p);
+            }
+            if (isset($q['fresh'])) {
+                return $this->jacobianAddPointMixedX($p, $q);
+            }
+            return $this->jacobianAddPoint($p, $q);
+        }
+
+        if (isset($p[2]) || isset($q[2])) {
+            throw new \RuntimeException('Affine coordinates need to be manually converted to Jacobi coordinates or vice versa');
+        }
+
+        if ($p[0]->equals($q[0])) {
+            if (!$p[1]->equals($q[1])) {
+                return [];
+            } else { // eg. doublePoint
+                list($numerator, $denominator) = $this->doublePointHelper($p);
+            }
+        } else {
+            $numerator = $q[1]->subtract($p[1]);
+            $denominator = $q[0]->subtract($p[0]);
+        }
+        $slope = $numerator->divide($denominator);
+        $x = $slope->multiply($slope)->subtract($p[0])->subtract($q[0]);
+        $y = $slope->multiply($p[0]->subtract($x))->subtract($p[1]);
+
+        return [$x, $y];
+    }
+
+    /**
+     * Returns the numerator and denominator of the slope
+     *
+     * @return FiniteField[]
+     */
+    protected function doublePointHelper(array $p)
+    {
+        $numerator = $this->three->multiply($p[0])->multiply($p[0])->add($this->a);
+        $denominator = $this->two->multiply($p[1]);
+        return [$numerator, $denominator];
+    }
+
+    /**
+     * Doubles a jacobian coordinate on the curve
+     *
+     * @return FiniteField[]
+     */
+    protected function jacobianDoublePoint(array $p)
+    {
+        list($x, $y, $z) = $p;
+        $x2 = $x->multiply($x);
+        $y2 = $y->multiply($y);
+        $z2 = $z->multiply($z);
+        $s = $this->four->multiply($x)->multiply($y2);
+        $m1 = $this->three->multiply($x2);
+        $m2 = $this->a->multiply($z2->multiply($z2));
+        $m = $m1->add($m2);
+        $x1 = $m->multiply($m)->subtract($this->two->multiply($s));
+        $y1 = $m->multiply($s->subtract($x1))->subtract(
+              $this->eight->multiply($y2->multiply($y2)));
+        $z1 = $this->two->multiply($y)->multiply($z);
+        return [$x1, $y1, $z1];
+    }
+
+    /**
+     * Doubles a "fresh" jacobian coordinate on the curve
+     *
+     * @return FiniteField[]
+     */
+    protected function jacobianDoublePointMixed(array $p)
+    {
+        list($x, $y) = $p;
+        $x2 = $x->multiply($x);
+        $y2 = $y->multiply($y);
+        $s = $this->four->multiply($x)->multiply($y2);
+        $m1 = $this->three->multiply($x2);
+        $m = $m1->add($this->a);
+        $x1 = $m->multiply($m)->subtract($this->two->multiply($s));
+        $y1 = $m->multiply($s->subtract($x1))->subtract(
+              $this->eight->multiply($y2->multiply($y2)));
+        $z1 = $this->two->multiply($y);
+        return [$x1, $y1, $z1];
+    }
+
+    /**
+     * Doubles a point on a curve
+     *
+     * @return FiniteField[]
+     */
+    public function doublePoint(array $p)
+    {
+        if (!isset($this->factory)) {
+            throw new \RuntimeException('setModulo needs to be called before this method');
+        }
+
+        if (!count($p)) {
+            return [];
+        }
+
+        // use jacobian coordinates
+        if (isset($p[2])) {
+            if (isset($p['fresh'])) {
+                return $this->jacobianDoublePointMixed($p);
+            }
+            return $this->jacobianDoublePoint($p);
+        }
+
+        list($numerator, $denominator) = $this->doublePointHelper($p);
+
+        $slope = $numerator->divide($denominator);
+
+        $x = $slope->multiply($slope)->subtract($p[0])->subtract($p[0]);
+        $y = $slope->multiply($p[0]->subtract($x))->subtract($p[1]);
+
+        return [$x, $y];
+    }
+
+    /**
+     * Returns the X coordinate and the derived Y coordinate
+     *
+     * @return array
+     */
+    public function derivePoint($m)
+    {
+        $y = ord(Strings::shift($m));
+        $x = new BigInteger($m, 256);
+        $xp = $this->convertInteger($x);
+        switch ($y) {
+            case 2: $ypn = false; break;
+            case 3: $ypn = true; break;
+            default:
+                throw new \RuntimeException('Coordinate not in recognized format');
+        }
+        $temp = $xp->multiply($this->a);
+        $temp = $xp->multiply($xp)->multiply($xp)->add($temp);
+        $temp = $temp->add($this->b);
+        $b = $temp->squareRoot();
+        if (!$b) {
+            throw new \RuntimeException('Unable to derive Y coordinate');
+        }
+        $bn = $b->isOdd();
+        $yp = $ypn == $bn ? $b : $b->negate();
+        return [$xp, $yp];
+    }
+
+    /**
+     * Tests whether or not the x / y values satisfy the equation
+     *
+     * @return boolean
+     */
+    public function verifyPoint(array $p)
+    {
+        list($x, $y) = $p;
+        $lhs = $y->multiply($y);
+        $temp = $x->multiply($this->a);
+        $temp = $x->multiply($x)->multiply($x)->add($temp);
+        $rhs = $temp->add($this->b);
+
+        return $lhs->equals($rhs);
+    }
+
+    /**
+     * Returns the modulo
+     *
+     * @return \phpseclib3\Math\BigInteger
+     */
+    public function getModulo()
+    {
+        return $this->modulo;
+    }
+
+    /**
+     * Returns the a coefficient
+     *
+     * @return \phpseclib3\Math\PrimeField\Integer
+     */
+    public function getA()
+    {
+        return $this->a;
+    }
+
+    /**
+     * Returns the a coefficient
+     *
+     * @return \phpseclib3\Math\PrimeField\Integer
+     */
+    public function getB()
+    {
+        return $this->b;
+    }
+
+    /**
+     * Multiply and Add Points
+     *
+     * Adapted from https://git.io/vxPUH
+     *
+     * @return int[]
+     */
+    public function multiplyAddPoints(array $points, array $scalars)
+    {
+        $length = count($points);
+
+        foreach ($points as &$point) {
+            $point = $this->convertToInternal($point);
+        }
+
+        $wnd = [$this->getNAFPoints($points[0], 7)];
+        $wndWidth = [isset($points[0]['nafwidth']) ? $points[0]['nafwidth'] : 7];
+        for ($i = 1; $i < $length; $i++) {
+            $wnd[] = $this->getNAFPoints($points[$i], 1);
+            $wndWidth[] = isset($points[$i]['nafwidth']) ? $points[$i]['nafwidth'] : 1;
+        }
+
+        $naf = [];
+
+        // comb all window NAFs
+
+        $max = 0;
+        for ($i = $length - 1; $i >= 1; $i-= 2) {
+            $a = $i - 1;
+            $b = $i;
+            if ($wndWidth[$a] != 1 || $wndWidth[$b] != 1) {
+                $naf[$a] = $scalars[$a]->getNAF($wndWidth[$a]);
+                $naf[$b] = $scalars[$b]->getNAF($wndWidth[$b]);
+                $max = max(count($naf[$a]), count($naf[$b]), $max);
+                continue;
+            }
+
+            $comb = [
+                $points[$a], // 1
+                null,        // 3
+                null,        // 5
+                $points[$b]  // 7
+            ];
+
+            $comb[1] = $this->addPoint($points[$a], $points[$b]);
+            $comb[2] = $this->addPoint($points[$a], $this->negatePoint($points[$b]));
+
+            $index = [
+                -3, /* -1 -1 */
+                -1, /* -1  0 */
+                -5, /* -1  1 */
+                -7, /*  0 -1 */
+                 0, /*  0 -1 */
+                 7, /*  0  1 */
+                 5, /*  1 -1 */
+                 1, /*  1  0 */
+                 3  /*  1  1 */
+            ];
+
+            $jsf = self::getJSFPoints($scalars[$a], $scalars[$b]);
+
+            $max = max(count($jsf[0]), $max);
+            if ($max > 0) {
+                $naf[$a] = array_fill(0, $max, 0);
+                $naf[$b] = array_fill(0, $max, 0);
+            } else {
+                $naf[$a] = [];
+                $naf[$b] = [];
+            }
+
+            for ($j = 0; $j < $max; $j++) {
+                $ja = isset($jsf[0][$j]) ? $jsf[0][$j] : 0;
+                $jb = isset($jsf[1][$j]) ? $jsf[1][$j] : 0;
+
+                $naf[$a][$j] = $index[3 * ($ja + 1) + $jb + 1];
+                $naf[$b][$j] = 0;
+                $wnd[$a] = $comb;
+            }
+        }
+
+        $acc = [];
+        $temp = [0, 0, 0, 0];
+        for ($i = $max; $i >= 0; $i--) {
+            $k = 0;
+            while ($i >= 0) {
+                $zero = true;
+                for ($j = 0; $j < $length; $j++) {
+                    $temp[$j] = isset($naf[$j][$i]) ? $naf[$j][$i] : 0;
+                    if ($temp[$j] != 0) {
+                        $zero = false;
+                    }
+                }
+                if (!$zero) {
+                    break;
+                }
+                $k++;
+                $i--;
+            }
+
+            if ($i >= 0) {
+                $k++;
+            }
+            while ($k--) {
+                $acc = $this->doublePoint($acc);
+            }
+
+            if ($i < 0) {
+                break;
+            }
+
+            for ($j = 0; $j < $length; $j++) {
+                $z = $temp[$j];
+                $p = null;
+                if ($z == 0) {
+                    continue;
+                }
+                $p = $z > 0 ?
+                    $wnd[$j][($z - 1) >> 1] :
+                    $this->negatePoint($wnd[$j][(-$z - 1) >> 1]);
+                $acc = $this->addPoint($acc, $p);
+            }
+        }
+
+        return $this->convertToAffine($acc);
+    }
+
+    /**
+     * Precomputes NAF points
+     *
+     * Adapted from https://git.io/vxY1f
+     *
+     * @return int[]
+     */
+    private function getNAFPoints($point, $wnd)
+    {
+        if (isset($point['naf'])) {
+            return $point['naf'];
+        }
+
+        $res = [$point];
+        $max = (1 << $wnd) - 1;
+        $dbl = $max == 1 ? null : $this->doublePoint($point);
+        for ($i = 1; $i < $max; $i++) {
+            $res[] = $this->addPoint($res[$i - 1], $dbl);
+        }
+
+        $point['naf'] = $res;
+
+        /*
+        $str = '';
+        foreach ($res as $re) {
+            $re[0] = bin2hex($re[0]->toBytes());
+            $re[1] = bin2hex($re[1]->toBytes());
+            $str.= "            ['$re[0]', '$re[1]'],\r\n";
+        }
+        file_put_contents('temp.txt', $str);
+        exit;
+        */
+
+        return $res;
+    }
+
+    /**
+     * Precomputes points in Joint Sparse Form
+     *
+     * Adapted from https://git.io/vxrpD
+     *
+     * @return int[]
+     */
+    private static function getJSFPoints(Integer $k1, Integer $k2)
+    {
+        static $three;
+        if (!isset($three)) {
+            $three = new BigInteger(3);
+        }
+
+        $jsf = [[], []];
+        $k1 = $k1->toBigInteger();
+        $k2 = $k2->toBigInteger();
+        $d1 = 0;
+        $d2 = 0;
+
+        while ($k1->compare(new BigInteger(-$d1)) > 0 || $k2->compare(new BigInteger(-$d2)) > 0) {
+            // first phase
+            $m14 = $k1->testBit(0) + 2 * $k1->testBit(1);
+            $m14+= $d1;
+            $m14&= 3;
+
+            $m24 = $k2->testBit(0) + 2 * $k2->testBit(1);
+            $m24+= $d2;
+            $m24&= 3;
+
+            if ($m14 == 3) {
+                $m14 = -1;
+            }
+            if ($m24 == 3) {
+                $m24 = -1;
+            }
+
+            $u1 = 0;
+            if ($m14 & 1) { // if $m14 is odd
+                $m8 = $k1->testBit(0) + 2 * $k1->testBit(1) + 4 * $k1->testBit(2);
+                $m8+= $d1;
+                $m8&= 7;
+                $u1 = ($m8 == 3 || $m8 == 5) && $m24 == 2 ? -$m14 : $m14;
+            }
+            $jsf[0][] = $u1;
+
+            $u2 = 0;
+            if ($m24 & 1) { // if $m24 is odd
+                $m8 = $k2->testBit(0) + 2 * $k2->testBit(1) + 4 * $k2->testBit(2);
+                $m8+= $d2;
+                $m8&= 7;
+                $u2 = ($m8 == 3 || $m8 == 5) && $m14 == 2 ? -$m24 : $m24;
+            }
+            $jsf[1][] = $u2;
+
+            // second phase
+            if (2 * $d1 == $u1 + 1) {
+                $d1 = 1 - $d1;
+            }
+            if (2 * $d2 == $u2 + 1) {
+                $d2 = 1 - $d2;
+            }
+            $k1 = $k1->bitwise_rightShift(1);
+            $k2 = $k2->bitwise_rightShift(1);
+        }
+
+        return $jsf;
+    }
+
+    /**
+     * Returns the affine point
+     *
+     * A Jacobian Coordinate is of the form (x, y, z).
+     * To convert a Jacobian Coordinate to an Affine Point
+     * you do (x / z^2, y / z^3)
+     *
+     * @return \phpseclib3\Math\PrimeField\Integer[]
+     */
+    public function convertToAffine(array $p)
+    {
+        if (!isset($p[2])) {
+            return $p;
+        }
+        list($x, $y, $z) = $p;
+        $z = $this->one->divide($z);
+        $z2 = $z->multiply($z);
+        return [
+            $x->multiply($z2),
+            $y->multiply($z2)->multiply($z)
+        ];
+    }
+
+    /**
+     * Converts an affine point to a jacobian coordinate
+     *
+     * @return \phpseclib3\Math\PrimeField\Integer[]
+     */
+    public function convertToInternal(array $p)
+    {
+        if (isset($p[2])) {
+            return $p;
+        }
+
+        $p[2] = clone $this->one;
+        $p['fresh'] = true;
+        return $p;
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/TwistedEdwards.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/TwistedEdwards.php
new file mode 100644
index 000000000..ff4ff2d4f
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/TwistedEdwards.php
@@ -0,0 +1,219 @@
+<?php
+
+/**
+ * Curves over a*x^2 + y^2 = 1 + d*x^2*y^2
+ *
+ * http://www.secg.org/SEC2-Ver-1.0.pdf provides for curves with custom parameters.
+ * ie. the coefficients can be arbitrary set through specially formatted keys, etc.
+ * As such, Prime.php is built very generically and it's not able to take full
+ * advantage of curves with 0 coefficients to produce simplified point doubling,
+ * point addition. Twisted Edwards curves, in contrast, do not have a way, currently,
+ * to customize them. As such, we can omit the super generic stuff from this class
+ * and let the named curves (Ed25519 and Ed448) define their own custom tailored
+ * point addition and point doubling methods.
+ *
+ * More info:
+ *
+ * https://en.wikipedia.org/wiki/Twisted_Edwards_curve
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\BaseCurves;
+
+use phpseclib3\Math\PrimeField;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Math\PrimeField\Integer as PrimeInteger;
+
+/**
+ * Curves over a*x^2 + y^2 = 1 + d*x^2*y^2
+ *
+ * @package Prime
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class TwistedEdwards extends Base
+{
+    /**
+     * The modulo
+     *
+     * @var BigInteger
+     */
+    protected $modulo;
+
+    /**
+     * Cofficient for x^2
+     *
+     * @var object
+     */
+    protected $a;
+
+    /**
+     * Cofficient for x^2*y^2
+     *
+     * @var object
+     */
+    protected $d;
+
+    /**
+     * Base Point
+     *
+     * @var object[]
+     */
+    protected $p;
+
+    /**
+     * The number zero over the specified finite field
+     *
+     * @var object
+     */
+    protected $zero;
+
+    /**
+     * The number one over the specified finite field
+     *
+     * @var object
+     */
+    protected $one;
+
+    /**
+     * The number two over the specified finite field
+     *
+     * @var object
+     */
+    protected $two;
+
+    /**
+     * Sets the modulo
+     */
+    public function setModulo(BigInteger $modulo)
+    {
+        $this->modulo = $modulo;
+        $this->factory = new PrimeField($modulo);
+        $this->zero = $this->factory->newInteger(new BigInteger(0));
+        $this->one = $this->factory->newInteger(new BigInteger(1));
+        $this->two = $this->factory->newInteger(new BigInteger(2));
+    }
+
+    /**
+     * Set coefficients a and b
+     */
+    public function setCoefficients(BigInteger $a, BigInteger $d)
+    {
+        if (!isset($this->factory)) {
+            throw new \RuntimeException('setModulo needs to be called before this method');
+        }
+        $this->a = $this->factory->newInteger($a);
+        $this->d = $this->factory->newInteger($d);
+    }
+
+    /**
+     * Set x and y coordinates for the base point
+     */
+    public function setBasePoint($x, $y)
+    {
+        switch (true) {
+            case !$x instanceof BigInteger && !$x instanceof PrimeInteger:
+                throw new \UnexpectedValueException('Argument 1 passed to Prime::setBasePoint() must be an instance of either BigInteger or PrimeField\Integer');
+            case !$y instanceof BigInteger && !$y instanceof PrimeInteger:
+                throw new \UnexpectedValueException('Argument 2 passed to Prime::setBasePoint() must be an instance of either BigInteger or PrimeField\Integer');
+        }
+        if (!isset($this->factory)) {
+            throw new \RuntimeException('setModulo needs to be called before this method');
+        }
+        $this->p = [
+            $x instanceof BigInteger ? $this->factory->newInteger($x) : $x,
+            $y instanceof BigInteger ? $this->factory->newInteger($y) : $y
+        ];
+    }
+
+    /**
+     * Returns the a coefficient
+     *
+     * @return \phpseclib3\Math\PrimeField\Integer
+     */
+    public function getA()
+    {
+        return $this->a;
+    }
+
+    /**
+     * Returns the a coefficient
+     *
+     * @return \phpseclib3\Math\PrimeField\Integer
+     */
+    public function getD()
+    {
+        return $this->d;
+    }
+
+    /**
+     * Retrieve the base point as an array
+     *
+     * @return array
+     */
+    public function getBasePoint()
+    {
+        if (!isset($this->factory)) {
+            throw new \RuntimeException('setModulo needs to be called before this method');
+        }
+        /*
+        if (!isset($this->p)) {
+            throw new \RuntimeException('setBasePoint needs to be called before this method');
+        }
+        */
+        return $this->p;
+    }
+
+    /**
+     * Returns the affine point
+     *
+     * @return \phpseclib3\Math\PrimeField\Integer[]
+     */
+    public function convertToAffine(array $p)
+    {
+        if (!isset($p[2])) {
+            return $p;
+        }
+        list($x, $y, $z) = $p;
+        $z = $this->one->divide($z);
+        return [
+            $x->multiply($z),
+            $y->multiply($z)
+        ];
+    }
+
+    /**
+     * Returns the modulo
+     *
+     * @return \phpseclib3\Math\BigInteger
+     */
+    public function getModulo()
+    {
+        return $this->modulo;
+    }
+
+    /**
+     * Tests whether or not the x / y values satisfy the equation
+     *
+     * @return boolean
+     */
+    public function verifyPoint(array $p)
+    {
+        list($x, $y) = $p;
+        $x2 = $x->multiply($x);
+        $y2 = $y->multiply($y);
+
+        $lhs = $this->a->multiply($x2)->add($y2);
+        $rhs = $this->d->multiply($x2)->multiply($y2)->add($this->one);
+
+        return $lhs->equals($rhs);
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/Curve25519.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/Curve25519.php
new file mode 100644
index 000000000..06842d8cd
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/Curve25519.php
@@ -0,0 +1,64 @@
+<?php
+
+/**
+ * Curve25519
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2019 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Math\Common\FiniteField\Integer;
+use phpseclib3\Crypt\EC\BaseCurves\Montgomery;
+use phpseclib3\Math\BigInteger;
+
+class Curve25519 extends Montgomery
+{
+    public function __construct()
+    {
+        // 2^255 - 19
+        $this->setModulo(new BigInteger('7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFED', 16));
+        $this->a24 = $this->factory->newInteger(new BigInteger('121666'));
+        $this->p = [$this->factory->newInteger(new BigInteger(9))];
+        // 2^252 + 0x14def9dea2f79cd65812631a5cf5d3ed
+        $this->setOrder(new BigInteger('1000000000000000000000000000000014DEF9DEA2F79CD65812631A5CF5D3ED', 16));
+
+        /*
+        $this->setCoefficients(
+            new BigInteger('486662'), // a
+        );
+        $this->setBasePoint(
+            new BigInteger(9),
+            new BigInteger('14781619447589544791020593568409986887264606134616475288964881837755586237401')
+        );
+        */
+    }
+
+    /**
+     * Multiply a point on the curve by a scalar
+     *
+     * Modifies the scalar as described at https://tools.ietf.org/html/rfc7748#page-8
+     *
+     * @return array
+     */
+    public function multiplyPoint(array $p, Integer $d)
+    {
+        //$r = strrev(sodium_crypto_scalarmult($d->toBytes(), strrev($p[0]->toBytes())));
+        //return [$this->factory->newInteger(new BigInteger($r, 256))];
+
+        $d = $d->toBytes();
+        $d&= "\xF8" . str_repeat("\xFF", 30) . "\x7F";
+        $d = strrev($d);
+        $d|= "\x40";
+        $d = $this->factory->newInteger(new BigInteger($d, -256));
+
+        return parent::multiplyPoint($p, $d);
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/Curve448.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/Curve448.php
new file mode 100644
index 000000000..7dcf70847
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/Curve448.php
@@ -0,0 +1,71 @@
+<?php
+
+/**
+ * Curve448
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2019 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Math\Common\FiniteField\Integer;
+use phpseclib3\Crypt\EC\BaseCurves\Montgomery;
+use phpseclib3\Math\BigInteger;
+
+class Curve448 extends Montgomery
+{
+    public function __construct()
+    {
+        // 2^448 - 2^224 - 1
+        $this->setModulo(new BigInteger(
+            'FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE' .
+            'FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF', 16));
+        $this->a24 = $this->factory->newInteger(new BigInteger('39081'));
+        $this->p = [$this->factory->newInteger(new BigInteger(5))];
+        // 2^446 - 0x8335dc163bb124b65129c96fde933d8d723a70aadc873d6d54a7bb0d
+        $this->setOrder(new BigInteger(
+            '3FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF' .
+            '7CCA23E9C44EDB49AED63690216CC2728DC58F552378C292AB5844F3', 16));
+
+        /*
+        $this->setCoefficients(
+            new BigInteger('156326'), // a
+        );
+        $this->setBasePoint(
+            new BigInteger(5),
+            new BigInteger(
+                '355293926785568175264127502063783334808976399387714271831880898' .
+                '435169088786967410002932673765864550910142774147268105838985595290' .
+                '606362')
+        );
+        */
+    }
+
+    /**
+     * Multiply a point on the curve by a scalar
+     *
+     * Modifies the scalar as described at https://tools.ietf.org/html/rfc7748#page-8
+     *
+     * @return array
+     */
+    public function multiplyPoint(array $p, Integer $d)
+    {
+        //$r = strrev(sodium_crypto_scalarmult($d->toBytes(), strrev($p[0]->toBytes())));
+        //return [$this->factory->newInteger(new BigInteger($r, 256))];
+
+        $d = $d->toBytes();
+        $d[0] = $d[0] & "\xFC";
+        $d = strrev($d);
+        $d|= "\x80";
+        $d = $this->factory->newInteger(new BigInteger($d, 256));
+
+        return parent::multiplyPoint($p, $d);
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/Ed25519.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/Ed25519.php
new file mode 100644
index 000000000..d4c3e37a1
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/Ed25519.php
@@ -0,0 +1,334 @@
+<?php
+
+/**
+ * Ed25519
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\TwistedEdwards;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Crypt\Hash;
+use phpseclib3\Crypt\Random;
+
+class Ed25519 extends TwistedEdwards
+{
+    const HASH = 'sha512';
+    /*
+      Per https://tools.ietf.org/html/rfc8032#page-6 EdDSA has several parameters, one of which is b:
+
+      2.   An integer b with 2^(b-1) > p.  EdDSA public keys have exactly b
+           bits, and EdDSA signatures have exactly 2*b bits.  b is
+           recommended to be a multiple of 8, so public key and signature
+           lengths are an integral number of octets.
+
+      SIZE corresponds to b
+    */
+    const SIZE = 32;
+
+    public function __construct()
+    {
+        // 2^255 - 19
+        $this->setModulo(new BigInteger('7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFED', 16));
+        $this->setCoefficients(
+            // -1
+            new BigInteger('7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEC', 16), // a
+            // -121665/121666
+            new BigInteger('52036CEE2B6FFE738CC740797779E89800700A4D4141D8AB75EB4DCA135978A3', 16)  // d
+        );
+        $this->setBasePoint(
+            new BigInteger('216936D3CD6E53FEC0A4E231FDD6DC5C692CC7609525A7B2C9562D608F25D51A', 16),
+            new BigInteger('6666666666666666666666666666666666666666666666666666666666666658', 16)
+        );
+        $this->setOrder(new BigInteger('1000000000000000000000000000000014DEF9DEA2F79CD65812631A5CF5D3ED', 16));
+        // algorithm 14.47 from http://cacr.uwaterloo.ca/hac/about/chap14.pdf#page=16
+        /*
+        $this->setReduction(function($x) {
+            $parts = $x->bitwise_split(255);
+            $className = $this->className;
+
+            if (count($parts) > 2) {
+                list(, $r) = $x->divide($className::$modulo);
+                return $r;
+            }
+
+            $zero = new BigInteger();
+            $c = new BigInteger(19);
+
+            switch (count($parts)) {
+                case 2:
+                    list($qi, $ri) = $parts;
+                    break;
+                case 1:
+                    $qi = $zero;
+                    list($ri) = $parts;
+                    break;
+                case 0:
+                    return $zero;
+            }
+            $r = $ri;
+
+            while ($qi->compare($zero) > 0) {
+                $temp = $qi->multiply($c)->bitwise_split(255);
+                if (count($temp) == 2) {
+                    list($qi, $ri) = $temp;
+                } else {
+                    $qi = $zero;
+                    list($ri) = $temp;
+                }
+                $r = $r->add($ri);
+            }
+
+            while ($r->compare($className::$modulo) > 0) {
+                $r = $r->subtract($className::$modulo);
+            }
+            return $r;
+        });
+        */
+    }
+
+    /**
+     * Recover X from Y
+     *
+     * Implements steps 2-4 at https://tools.ietf.org/html/rfc8032#section-5.1.3
+     *
+     * Used by EC\Keys\Common.php
+     *
+     * @param BigInteger $y
+     * @param boolean $sign
+     * @return object[]
+     */
+    public function recoverX(BigInteger $y, $sign)
+    {
+        $y = $this->factory->newInteger($y);
+
+        $y2 = $y->multiply($y);
+        $u = $y2->subtract($this->one);
+        $v = $this->d->multiply($y2)->add($this->one);
+        $x2 = $u->divide($v);
+        if ($x2->equals($this->zero)) {
+            if ($sign) {
+                throw new \RuntimeException('Unable to recover X coordinate (x2 = 0)');
+            }
+            return clone $this->zero;
+        }
+        // find the square root
+        /* we don't do $x2->squareRoot() because, quoting from
+           https://tools.ietf.org/html/rfc8032#section-5.1.1:
+
+           "For point decoding or "decompression", square roots modulo p are
+            needed.  They can be computed using the Tonelli-Shanks algorithm or
+            the special case for p = 5 (mod 8).  To find a square root of a,
+            first compute the candidate root x = a^((p+3)/8) (mod p)."
+         */
+        $exp = $this->getModulo()->add(new BigInteger(3));
+        $exp = $exp->bitwise_rightShift(3);
+        $x = $x2->pow($exp);
+
+        // If v x^2 = -u (mod p), set x <-- x * 2^((p-1)/4), which is a square root.
+        if (!$x->multiply($x)->subtract($x2)->equals($this->zero)) {
+            $temp = $this->getModulo()->subtract(new BigInteger(1));
+            $temp = $temp->bitwise_rightShift(2);
+            $temp = $this->two->pow($temp);
+            $x = $x->multiply($temp);
+            if (!$x->multiply($x)->subtract($x2)->equals($this->zero)) {
+                throw new \RuntimeException('Unable to recover X coordinate');
+            }
+        }
+        if ($x->isOdd() != $sign) {
+            $x = $x->negate();
+        }
+
+        return [$x, $y];
+    }
+
+    /**
+     * Extract Secret Scalar
+     *
+     * Implements steps 1-3 at https://tools.ietf.org/html/rfc8032#section-5.1.5
+     *
+     * Used by the various key handlers
+     *
+     * @param string $str
+     * @return \phpseclib3\Math\PrimeField\Integer
+     */
+    public function extractSecret($str)
+    {
+        if (strlen($str) != 32) {
+            throw new \LengthException('Private Key should be 32-bytes long');
+        }
+        // 1.  Hash the 32-byte private key using SHA-512, storing the digest in
+        //     a 64-octet large buffer, denoted h.  Only the lower 32 bytes are
+        //     used for generating the public key.
+        $hash = new Hash('sha512');
+        $h = $hash->hash($str);
+        $h = substr($h, 0, 32);
+        // 2.  Prune the buffer: The lowest three bits of the first octet are
+        //     cleared, the highest bit of the last octet is cleared, and the
+        //     second highest bit of the last octet is set.
+        $h[0] = $h[0] & chr(0xF8);
+        $h = strrev($h);
+        $h[0] = ($h[0] & chr(0x3F)) | chr(0x40);
+        // 3.  Interpret the buffer as the little-endian integer, forming a
+        //     secret scalar s.
+        $dA = new BigInteger($h, 256);
+        $dA = $this->factory->newInteger($dA);
+
+        $dA->secret = $str;
+        return $dA;
+    }
+
+    /**
+     * Encode a point as a string
+     *
+     * @param array $point
+     * @return string
+     */
+    public function encodePoint($point)
+    {
+        list($x, $y) = $point;
+        $y = $y->toBytes();
+        $y[0] = $y[0] & chr(0x7F);
+        if ($x->isOdd()) {
+            $y[0] = $y[0] | chr(0x80);
+        }
+        $y = strrev($y);
+
+        return $y;
+    }
+
+    /**
+     * Creates a random scalar multiplier
+     *
+     * @return \phpseclib3\Math\PrimeField\Integer
+     */
+    public function createRandomMultiplier()
+    {
+        return $this->extractSecret(Random::string(32));
+    }
+
+    /**
+     * Converts an affine point to an extended homogeneous coordinate
+     *
+     * From https://tools.ietf.org/html/rfc8032#section-5.1.4 :
+     *
+     * A point (x,y) is represented in extended homogeneous coordinates (X, Y, Z, T),
+     * with x = X/Z, y = Y/Z, x * y = T/Z.
+     *
+     * @return \phpseclib3\Math\PrimeField\Integer[]
+     */
+    public function convertToInternal(array $p)
+    {
+        if (empty($p)) {
+            return [clone $this->zero, clone $this->one, clone $this->one, clone $this->zero];
+        }
+
+        if (isset($p[2])) {
+            return $p;
+        }
+
+        $p[2] = clone $this->one;
+        $p[3] = $p[0]->multiply($p[1]);
+
+        return $p;
+    }
+
+    /**
+     * Doubles a point on a curve
+     *
+     * @return FiniteField[]
+     */
+    public function doublePoint(array $p)
+    {
+        if (!isset($this->factory)) {
+            throw new \RuntimeException('setModulo needs to be called before this method');
+        }
+
+        if (!count($p)) {
+            return [];
+        }
+
+        if (!isset($p[2])) {
+            throw new \RuntimeException('Affine coordinates need to be manually converted to "Jacobi" coordinates or vice versa');
+        }
+
+        // from https://tools.ietf.org/html/rfc8032#page-12
+
+        list($x1, $y1, $z1, $t1) = $p;
+
+        $a = $x1->multiply($x1);
+        $b = $y1->multiply($y1);
+        $c = $this->two->multiply($z1)->multiply($z1);
+        $h = $a->add($b);
+        $temp = $x1->add($y1);
+        $e = $h->subtract($temp->multiply($temp));
+        $g = $a->subtract($b);
+        $f = $c->add($g);
+
+        $x3 = $e->multiply($f);
+        $y3 = $g->multiply($h);
+        $t3 = $e->multiply($h);
+        $z3 = $f->multiply($g);
+
+        return [$x3, $y3, $z3, $t3];
+    }
+
+    /**
+     * Adds two points on the curve
+     *
+     * @return FiniteField[]
+     */
+    public function addPoint(array $p, array $q)
+    {
+        if (!isset($this->factory)) {
+            throw new \RuntimeException('setModulo needs to be called before this method');
+        }
+
+        if (!count($p) || !count($q)) {
+            if (count($q)) {
+                return $q;
+            }
+            if (count($p)) {
+                return $p;
+            }
+            return [];
+        }
+
+        if (!isset($p[2]) || !isset($q[2])) {
+            throw new \RuntimeException('Affine coordinates need to be manually converted to "Jacobi" coordinates or vice versa');
+        }
+
+        if ($p[0]->equals($q[0])) {
+            return !$p[1]->equals($q[1]) ? [] : $this->doublePoint($p);
+        }
+
+        // from https://tools.ietf.org/html/rfc8032#page-12
+
+        list($x1, $y1, $z1, $t1) = $p;
+        list($x2, $y2, $z2, $t2) = $q;
+
+        $a = $y1->subtract($x1)->multiply($y2->subtract($x2));
+        $b = $y1->add($x1)->multiply($y2->add($x2));
+        $c = $t1->multiply($this->two)->multiply($this->d)->multiply($t2);
+        $d = $z1->multiply($this->two)->multiply($z2);
+        $e = $b->subtract($a);
+        $f = $d->subtract($c);
+        $g = $d->add($c);
+        $h = $b->add($a);
+
+        $x3 = $e->multiply($f);
+        $y3 = $g->multiply($h);
+        $t3 = $e->multiply($h);
+        $z3 = $f->multiply($g);
+
+        return [$x3, $y3, $z3, $t3];
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/Ed448.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/Ed448.php
new file mode 100644
index 000000000..80ed33a8b
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/Ed448.php
@@ -0,0 +1,267 @@
+<?php
+
+/**
+ * Ed448
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\TwistedEdwards;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Crypt\Hash;
+use phpseclib3\Crypt\Random;
+
+class Ed448 extends TwistedEdwards
+{
+    const HASH = 'shake256-912';
+    const SIZE = 57;
+
+    public function __construct()
+    {
+        // 2^448 - 2^224 - 1
+        $this->setModulo(new BigInteger(
+            'FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE' .
+            'FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF', 16));
+        $this->setCoefficients(
+            new BigInteger(1),
+            // -39081
+            new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE' . 
+                           'FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF6756', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('4F1970C66BED0DED221D15A622BF36DA9E146570470F1767EA6DE324' .
+                           'A3D3A46412AE1AF72AB66511433B80E18B00938E2626A82BC70CC05E', 16),
+            new BigInteger('693F46716EB6BC248876203756C9C7624BEA73736CA3984087789C1E' .
+                           '05A0C2D73AD3FF1CE67C39C4FDBD132C4ED7C8AD9808795BF230FA14', 16)
+        );
+        $this->setOrder(new BigInteger(
+            '3FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF' .
+            '7CCA23E9C44EDB49AED63690216CC2728DC58F552378C292AB5844F3', 16));
+    }
+
+    /**
+     * Recover X from Y
+     *
+     * Implements steps 2-4 at https://tools.ietf.org/html/rfc8032#section-5.2.3
+     *
+     * Used by EC\Keys\Common.php
+     *
+     * @param BigInteger $y
+     * @param boolean $sign
+     * @return object[]
+     */
+    public function recoverX(BigInteger $y, $sign)
+    {
+        $y = $this->factory->newInteger($y);
+
+        $y2 = $y->multiply($y);
+        $u = $y2->subtract($this->one);
+        $v = $this->d->multiply($y2)->subtract($this->one);
+        $x2 = $u->divide($v);
+        if ($x2->equals($this->zero)) {
+            if ($sign) {
+                throw new \RuntimeException('Unable to recover X coordinate (x2 = 0)');
+            }
+            return clone $this->zero;
+        }
+        // find the square root
+        $exp = $this->getModulo()->add(new BigInteger(1));
+        $exp = $exp->bitwise_rightShift(2);
+        $x = $x2->pow($exp);
+
+        if (!$x->multiply($x)->subtract($x2)->equals($this->zero)) {
+            throw new \RuntimeException('Unable to recover X coordinate');
+        }
+        if ($x->isOdd() != $sign) {
+            $x = $x->negate();
+        }
+
+        return [$x, $y];
+    }
+
+    /**
+     * Extract Secret Scalar
+     *
+     * Implements steps 1-3 at https://tools.ietf.org/html/rfc8032#section-5.2.5
+     *
+     * Used by the various key handlers
+     *
+     * @param string $str
+     * @return \phpseclib3\Math\PrimeField\Integer
+     */
+    public function extractSecret($str)
+    {
+        if (strlen($str) != 57) {
+            throw new \LengthException('Private Key should be 57-bytes long');
+        }
+        // 1.  Hash the 57-byte private key using SHAKE256(x, 114), storing the
+        //     digest in a 114-octet large buffer, denoted h.  Only the lower 57
+        //     bytes are used for generating the public key.
+        $hash = new Hash('shake256-912');
+        $h = $hash->hash($str);
+        $h = substr($h, 0, 57);
+        // 2.  Prune the buffer: The two least significant bits of the first
+        //     octet are cleared, all eight bits the last octet are cleared, and
+        //     the highest bit of the second to last octet is set.
+        $h[0] = $h[0] & chr(0xFC);
+        $h = strrev($h);
+        $h[0] = "\0";
+        $h[1] = $h[1] | chr(0x80);
+        // 3.  Interpret the buffer as the little-endian integer, forming a
+        //     secret scalar s.
+        $dA = new BigInteger($h, 256);
+        $dA = $this->factory->newInteger($dA);
+
+        $dA->secret = $str;
+        return $dA;
+    }
+
+    /**
+     * Encode a point as a string
+     *
+     * @param array $point
+     * @return string
+     */
+    public function encodePoint($point)
+    {
+        list($x, $y) = $point;
+        $y = "\0" . $y->toBytes();
+        if ($x->isOdd()) {
+            $y[0] = $y[0] | chr(0x80);
+        }
+        $y = strrev($y);
+
+        return $y;
+    }
+
+    /**
+     * Creates a random scalar multiplier
+     *
+     * @return \phpseclib3\Math\PrimeField\Integer
+     */
+    public function createRandomMultiplier()
+    {
+        return $this->extractSecret(Random::string(57));
+    }
+
+    /**
+     * Converts an affine point to an extended homogeneous coordinate
+     *
+     * From https://tools.ietf.org/html/rfc8032#section-5.2.4 :
+     *
+     * A point (x,y) is represented in extended homogeneous coordinates (X, Y, Z, T),
+     * with x = X/Z, y = Y/Z, x * y = T/Z.
+     *
+     * @return \phpseclib3\Math\PrimeField\Integer[]
+     */
+    public function convertToInternal(array $p)
+    {
+        if (empty($p)) {
+            return [clone $this->zero, clone $this->one, clone $this->one];
+        }
+
+        if (isset($p[2])) {
+            return $p;
+        }
+
+        $p[2] = clone $this->one;
+
+        return $p;
+    }
+
+    /**
+     * Doubles a point on a curve
+     *
+     * @return FiniteField[]
+     */
+    public function doublePoint(array $p)
+    {
+        if (!isset($this->factory)) {
+            throw new \RuntimeException('setModulo needs to be called before this method');
+        }
+
+        if (!count($p)) {
+            return [];
+        }
+
+        if (!isset($p[2])) {
+            throw new \RuntimeException('Affine coordinates need to be manually converted to "Jacobi" coordinates or vice versa');
+        }
+
+        // from https://tools.ietf.org/html/rfc8032#page-18
+
+        list($x1, $y1, $z1) = $p;
+
+        $b = $x1->add($y1);
+        $b = $b->multiply($b);
+        $c = $x1->multiply($x1);
+        $d = $y1->multiply($y1);
+        $e = $c->add($d);
+        $h = $z1->multiply($z1);
+        $j = $e->subtract($this->two->multiply($h));
+
+        $x3 = $b->subtract($e)->multiply($j);
+        $y3 = $c->subtract($d)->multiply($e);
+        $z3 = $e->multiply($j);
+
+        return [$x3, $y3, $z3];
+    }
+
+    /**
+     * Adds two points on the curve
+     *
+     * @return FiniteField[]
+     */
+    public function addPoint(array $p, array $q)
+    {
+        if (!isset($this->factory)) {
+            throw new \RuntimeException('setModulo needs to be called before this method');
+        }
+
+        if (!count($p) || !count($q)) {
+            if (count($q)) {
+                return $q;
+            }
+            if (count($p)) {
+                return $p;
+            }
+            return [];
+        }
+
+        if (!isset($p[2]) || !isset($q[2])) {
+            throw new \RuntimeException('Affine coordinates need to be manually converted to "Jacobi" coordinates or vice versa');
+        }
+
+        if ($p[0]->equals($q[0])) {
+            return !$p[1]->equals($q[1]) ? [] : $this->doublePoint($p);
+        }
+
+        // from https://tools.ietf.org/html/rfc8032#page-17
+
+        list($x1, $y1, $z1) = $p;
+        list($x2, $y2, $z2) = $q;
+
+        $a = $z1->multiply($z2);
+        $b = $a->multiply($a);
+        $c = $x1->multiply($x2);
+        $d = $y1->multiply($y2);
+        $e = $this->d->multiply($c)->multiply($d);
+        $f = $b->subtract($e);
+        $g = $b->add($e);
+        $h = $x1->add($y1)->multiply($x2->add($y2));
+
+        $x3 = $a->multiply($f)->multiply($h->subtract($c)->subtract($d));
+        $y3 = $a->multiply($g)->multiply($d->subtract($c));
+        $z3 = $f->multiply($g);
+
+        return [$x3, $y3, $z3];
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP160r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP160r1.php
new file mode 100644
index 000000000..23a4e6d27
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP160r1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * brainpoolP160r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class brainpoolP160r1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('E95E4A5F737059DC60DFC7AD95B3D8139515620F', 16));
+        $this->setCoefficients(
+            new BigInteger('340E7BE2A280EB74E2BE61BADA745D97E8F7C300', 16),
+            new BigInteger('1E589A8595423412134FAA2DBDEC95C8D8675E58', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('BED5AF16EA3F6A4F62938C4631EB5AF7BDBCDBC3', 16),
+            new BigInteger('1667CB477A1A8EC338F94741669C976316DA6321', 16)
+        );
+        $this->setOrder(new BigInteger('E95E4A5F737059DC60DF5991D45029409E60FC09', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP160t1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP160t1.php
new file mode 100644
index 000000000..beafc34ba
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP160t1.php
@@ -0,0 +1,49 @@
+<?php
+
+/**
+ * brainpoolP160t1
+ *
+ * This curve is a twisted version of brainpoolP160r1 with A = -3. With brainpool,
+ * the curves ending in r1 are the "regular" curves and the curves ending in "t1"
+ * are the twisted version of the r1 curves. Per https://tools.ietf.org/html/rfc5639#page-7
+ * you can convert a point on an r1 curve to a point on a t1 curve thusly:
+ *
+ *     F(x,y) := (x*Z^2, y*Z^3)
+ *
+ * The advantage of A = -3 is that some of the point doubling and point addition can be
+ * slightly optimized. See http://hyperelliptic.org/EFD/g1p/auto-shortw-projective-3.html
+ * vs http://hyperelliptic.org/EFD/g1p/auto-shortw-projective.html for example.
+ *
+ * phpseclib does not currently take advantage of this optimization opportunity
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class brainpoolP160t1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('E95E4A5F737059DC60DFC7AD95B3D8139515620F', 16));
+        $this->setCoefficients(
+            new BigInteger('E95E4A5F737059DC60DFC7AD95B3D8139515620C', 16), // eg. -3
+            new BigInteger('7A556B6DAE535B7B51ED2C4D7DAA7A0B5C55F380', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('B199B13B9B34EFC1397E64BAEB05ACC265FF2378', 16),
+            new BigInteger('ADD6718B7C7C1961F0991B842443772152C9E0AD', 16)
+        );
+        $this->setOrder(new BigInteger('E95E4A5F737059DC60DF5991D45029409E60FC09', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP192r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP192r1.php
new file mode 100644
index 000000000..11afdadb0
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP192r1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * brainpoolP192r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class brainpoolP192r1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86297', 16));
+        $this->setCoefficients(
+            new BigInteger('6A91174076B1E0E19C39C031FE8685C1CAE040E5C69A28EF', 16),
+            new BigInteger('469A28EF7C28CCA3DC721D044F4496BCCA7EF4146FBF25C9', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('C0A0647EAAB6A48753B033C56CB0F0900A2F5C4853375FD6', 16),
+            new BigInteger('14B690866ABD5BB88B5F4828C1490002E6773FA2FA299B8F', 16)
+        );
+        $this->setOrder(new BigInteger('C302F41D932A36CDA7A3462F9E9E916B5BE8F1029AC4ACC1', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP192t1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP192t1.php
new file mode 100644
index 000000000..71f956f29
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP192t1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * brainpoolP192t1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class brainpoolP192t1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86297', 16));
+        $this->setCoefficients(
+            new BigInteger('C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86294', 16), // eg. -3
+            new BigInteger('13D56FFAEC78681E68F9DEB43B35BEC2FB68542E27897B79', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('3AE9E58C82F63C30282E1FE7BBF43FA72C446AF6F4618129', 16),
+            new BigInteger('097E2C5667C2223A902AB5CA449D0084B7E5B3DE7CCC01C9', 16)
+        );
+        $this->setOrder(new BigInteger('C302F41D932A36CDA7A3462F9E9E916B5BE8F1029AC4ACC1', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP224r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP224r1.php
new file mode 100644
index 000000000..83e49b026
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP224r1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * brainpoolP224r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class brainpoolP224r1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('D7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FF', 16));
+        $this->setCoefficients(
+            new BigInteger('68A5E62CA9CE6C1C299803A6C1530B514E182AD8B0042A59CAD29F43', 16),
+            new BigInteger('2580F63CCFE44138870713B1A92369E33E2135D266DBB372386C400B', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('0D9029AD2C7E5CF4340823B2A87DC68C9E4CE3174C1E6EFDEE12C07D', 16),
+            new BigInteger('58AA56F772C0726F24C6B89E4ECDAC24354B9E99CAA3F6D3761402CD', 16)
+        );
+        $this->setOrder(new BigInteger('D7C134AA264366862A18302575D0FB98D116BC4B6DDEBCA3A5A7939F', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP224t1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP224t1.php
new file mode 100644
index 000000000..97032a48c
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP224t1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * brainpoolP224t1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class brainpoolP224t1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('D7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FF', 16));
+        $this->setCoefficients(
+            new BigInteger('D7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FC', 16), // eg. -3
+            new BigInteger('4B337D934104CD7BEF271BF60CED1ED20DA14C08B3BB64F18A60888D', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('6AB1E344CE25FF3896424E7FFE14762ECB49F8928AC0C76029B4D580', 16),
+            new BigInteger('0374E9F5143E568CD23F3F4D7C0D4B1E41C8CC0D1C6ABD5F1A46DB4C', 16)
+        );
+        $this->setOrder(new BigInteger('D7C134AA264366862A18302575D0FB98D116BC4B6DDEBCA3A5A7939F', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP256r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP256r1.php
new file mode 100644
index 000000000..0d3860041
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP256r1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * brainpoolP256r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class brainpoolP256r1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377', 16));
+        $this->setCoefficients(
+            new BigInteger('7D5A0975FC2C3057EEF67530417AFFE7FB8055C126DC5C6CE94A4B44F330B5D9', 16),
+            new BigInteger('26DC5C6CE94A4B44F330B5D9BBD77CBF958416295CF7E1CE6BCCDC18FF8C07B6', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('8BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262', 16),
+            new BigInteger('547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997', 16)
+        );
+        $this->setOrder(new BigInteger('A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP256t1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP256t1.php
new file mode 100644
index 000000000..9c1d1cdbe
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP256t1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * brainpoolP256t1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class brainpoolP256t1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377', 16));
+        $this->setCoefficients(
+            new BigInteger('A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5374', 16), // eg. -3
+            new BigInteger('662C61C430D84EA4FE66A7733D0B76B7BF93EBC4AF2F49256AE58101FEE92B04', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('A3E8EB3CC1CFE7B7732213B23A656149AFA142C47AAFBC2B79A191562E1305F4', 16),
+            new BigInteger('2D996C823439C56D7F7B22E14644417E69BCB6DE39D027001DABE8F35B25C9BE', 16)
+        );
+        $this->setOrder(new BigInteger('A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7', 16));
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP320r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP320r1.php
new file mode 100644
index 000000000..a6253a714
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP320r1.php
@@ -0,0 +1,42 @@
+<?php
+
+/**
+ * brainpoolP320r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class brainpoolP320r1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('D35E472036BC4FB7E13C785ED201E065F98FCFA6F6F40DEF4F9' .
+                                        '2B9EC7893EC28FCD412B1F1B32E27', 16));
+        $this->setCoefficients(
+            new BigInteger('3EE30B568FBAB0F883CCEBD46D3F3BB8A2A73513F5EB79DA66190EB085FFA9F4' .
+                           '92F375A97D860EB4', 16),
+            new BigInteger('520883949DFDBC42D3AD198640688A6FE13F41349554B49ACC31DCCD88453981' .
+                           '6F5EB4AC8FB1F1A6', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('43BD7E9AFB53D8B85289BCC48EE5BFE6F20137D10A087EB6E7871E2A10A599C7' .
+                           '10AF8D0D39E20611', 16),
+            new BigInteger('14FDD05545EC1CC8AB4093247F77275E0743FFED117182EAA9C77877AAAC6AC7' .
+                           'D35245D1692E8EE1', 16)
+        );
+        $this->setOrder(new BigInteger('D35E472036BC4FB7E13C785ED201E065F98FCFA5B68F12A32D4' .
+                                       '82EC7EE8658E98691555B44C59311', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP320t1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP320t1.php
new file mode 100644
index 000000000..e62771859
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP320t1.php
@@ -0,0 +1,42 @@
+<?php
+
+/**
+ * brainpoolP320t1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class brainpoolP320t1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('D35E472036BC4FB7E13C785ED201E065F98FCFA6F6F40DEF4F9' .
+                                        '2B9EC7893EC28FCD412B1F1B32E27', 16));
+        $this->setCoefficients(
+            new BigInteger('D35E472036BC4FB7E13C785ED201E065F98FCFA6F6F40DEF4F92B9EC7893EC28' .
+                           'FCD412B1F1B32E24', 16), // eg. -3
+            new BigInteger('A7F561E038EB1ED560B3D147DB782013064C19F27ED27C6780AAF77FB8A547CE' .
+                           'B5B4FEF422340353', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('925BE9FB01AFC6FB4D3E7D4990010F813408AB106C4F09CB7EE07868CC136FFF' .
+                           '3357F624A21BED52', 16),
+            new BigInteger('63BA3A7A27483EBF6671DBEF7ABB30EBEE084E58A0B077AD42A5A0989D1EE71B' .
+                           '1B9BC0455FB0D2C3', 16)
+        );
+        $this->setOrder(new BigInteger('D35E472036BC4FB7E13C785ED201E065F98FCFA5B68F12A32D4' .
+                                       '82EC7EE8658E98691555B44C59311', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP384r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP384r1.php
new file mode 100644
index 000000000..5bc8a6d53
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP384r1.php
@@ -0,0 +1,48 @@
+<?php
+
+/**
+ * brainpoolP384r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class brainpoolP384r1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger(
+            '8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123ACD3A729901D1A7' .
+            '1874700133107EC53', 16));
+        $this->setCoefficients(
+            new BigInteger(
+                '7BC382C63D8C150C3C72080ACE05AFA0C2BEA28E4FB22787139165EFBA91F90F8AA5814A503' .
+                'AD4EB04A8C7DD22CE2826', 16),
+            new BigInteger(
+                '4A8C7DD22CE28268B39B55416F0447C2FB77DE107DCD2A62E880EA53EEB62D57CB4390295DB' .
+                'C9943AB78696FA504C11', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger(
+                '1D1C64F068CF45FFA2A63A81B7C13F6B8847A3E77EF14FE3DB7FCAFE0CBD10E8E826E03436D' .
+                '646AAEF87B2E247D4AF1E', 16),
+            new BigInteger(
+                '8ABE1D7520F9C2A45CB1EB8E95CFD55262B70B29FEEC5864E19C054FF99129280E464621779' .
+                '1811142820341263C5315', 16)
+        );
+        $this->setOrder(new BigInteger(
+            '8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B31F166E6CAC0425A7CF3AB6AF6B7FC31' .
+            '03B883202E9046565', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP384t1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP384t1.php
new file mode 100644
index 000000000..8bd4a790f
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP384t1.php
@@ -0,0 +1,48 @@
+<?php
+
+/**
+ * brainpoolP384t1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class brainpoolP384t1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger(
+            '8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123ACD3A729901D1A7' .
+            '1874700133107EC53', 16));
+        $this->setCoefficients(
+            new BigInteger(
+                '8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123ACD3A729901' .
+                'D1A71874700133107EC50', 16), // eg. -3
+            new BigInteger(
+                '7F519EADA7BDA81BD826DBA647910F8C4B9346ED8CCDC64E4B1ABD11756DCE1D2074AA263B8' .
+                '8805CED70355A33B471EE', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger(
+                '18DE98B02DB9A306F2AFCD7235F72A819B80AB12EBD653172476FECD462AABFFC4FF191B946' .
+                'A5F54D8D0AA2F418808CC', 16),
+            new BigInteger(
+                '25AB056962D30651A114AFD2755AD336747F93475B7A1FCA3B88F2B6A208CCFE469408584DC' .
+                '2B2912675BF5B9E582928', 16)
+        );
+        $this->setOrder(new BigInteger(
+            '8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B31F166E6CAC0425A7CF3AB6AF6B7FC31' .
+            '03B883202E9046565', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP512r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP512r1.php
new file mode 100644
index 000000000..8d22120fa
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP512r1.php
@@ -0,0 +1,48 @@
+<?php
+
+/**
+ * brainpoolP512r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class brainpoolP512r1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger(
+            'AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308717D4D9B009BC' .
+            '66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F3', 16));
+        $this->setCoefficients(
+            new BigInteger(
+                '7830A3318B603B89E2327145AC234CC594CBDD8D3DF91610A83441CAEA9863BC2DED5D5AA82' .
+                '53AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CA', 16),
+            new BigInteger(
+                '3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C' .
+                '1AC4D77FC94CADC083E67984050B75EBAE5DD2809BD638016F723', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger(
+                '81AEE4BDD82ED9645A21322E9C4C6A9385ED9F70B5D916C1B43B62EEF4D0098EFF3B1F78E2D' .
+                '0D48D50D1687B93B97D5F7C6D5047406A5E688B352209BCB9F822', 16),
+            new BigInteger(
+                '7DDE385D566332ECC0EABFA9CF7822FDF209F70024A57B1AA000C55B881F8111B2DCDE494A5' .
+                'F485E5BCA4BD88A2763AED1CA2B2FA8F0540678CD1E0F3AD80892', 16)
+        );
+        $this->setOrder(new BigInteger(
+            'AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330870553E5C414CA' .
+            '92619418661197FAC10471DB1D381085DDADDB58796829CA90069', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP512t1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP512t1.php
new file mode 100644
index 000000000..8566182e4
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/brainpoolP512t1.php
@@ -0,0 +1,48 @@
+<?php
+
+/**
+ * brainpoolP512t1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class brainpoolP512t1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger(
+            'AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308717D4D9B009BC' .
+            '66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F3', 16));
+        $this->setCoefficients(
+            new BigInteger(
+                'AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308717D4D9B009BC' .
+                '66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F0', 16), // eg. -3
+            new BigInteger(
+                '7CBBBCF9441CFAB76E1890E46884EAE321F70C0BCB4981527897504BEC3E36A62BCDFA23049' .
+                '76540F6450085F2DAE145C22553B465763689180EA2571867423E', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger(
+                '640ECE5C12788717B9C1BA06CBC2A6FEBA85842458C56DDE9DB1758D39C0313D82BA51735CD' .
+                'B3EA499AA77A7D6943A64F7A3F25FE26F06B51BAA2696FA9035DA', 16),
+            new BigInteger(
+                '5B534BD595F5AF0FA2C892376C84ACE1BB4E3019B71634C01131159CAE03CEE9D9932184BEE' .
+                'F216BD71DF2DADF86A627306ECFF96DBB8BACE198B61E00F8B332', 16)
+        );
+        $this->setOrder(new BigInteger(
+            'AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330870553E5C414CA' .
+            '92619418661197FAC10471DB1D381085DDADDB58796829CA90069', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistb233.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistb233.php
new file mode 100644
index 000000000..a2e974ace
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistb233.php
@@ -0,0 +1,20 @@
+<?php
+
+/**
+ * nistb233
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+final class nistb233 extends sect233r1
+{
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistb409.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistb409.php
new file mode 100644
index 000000000..c3f25829f
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistb409.php
@@ -0,0 +1,20 @@
+<?php
+
+/**
+ * nistb409
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+final class nistb409 extends sect409r1
+{
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistk163.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistk163.php
new file mode 100644
index 000000000..2d3add6eb
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistk163.php
@@ -0,0 +1,20 @@
+<?php
+
+/**
+ * nistk163
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+final class nistk163 extends sect163k1
+{
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistk233.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistk233.php
new file mode 100644
index 000000000..05efea40b
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistk233.php
@@ -0,0 +1,20 @@
+<?php
+
+/**
+ * nistk233
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+final class nistk233 extends sect233k1
+{
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistk283.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistk283.php
new file mode 100644
index 000000000..95420587e
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistk283.php
@@ -0,0 +1,20 @@
+<?php
+
+/**
+ * sect283k1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+final class nistk283 extends sect283k1
+{
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistk409.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistk409.php
new file mode 100644
index 000000000..eb55ce7bd
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistk409.php
@@ -0,0 +1,20 @@
+<?php
+
+/**
+ * nistk409
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+final class nistk409 extends sect409k1
+{
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistp192.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistp192.php
new file mode 100644
index 000000000..c600d79fb
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistp192.php
@@ -0,0 +1,20 @@
+<?php
+
+/**
+ * nistp192
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+final class nistp192 extends secp192r1
+{
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistp224.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistp224.php
new file mode 100644
index 000000000..5c4320ecf
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistp224.php
@@ -0,0 +1,20 @@
+<?php
+
+/**
+ * nistp224
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+final class nistp224 extends secp224r1
+{
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistp256.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistp256.php
new file mode 100644
index 000000000..56d0b5ad3
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistp256.php
@@ -0,0 +1,20 @@
+<?php
+
+/**
+ * nistp256
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+final class nistp256 extends secp256r1
+{
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistp384.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistp384.php
new file mode 100644
index 000000000..7a45babfc
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistp384.php
@@ -0,0 +1,20 @@
+<?php
+
+/**
+ * nistp384
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+final class nistp384 extends secp384r1
+{
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistp521.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistp521.php
new file mode 100644
index 000000000..167b058f6
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistp521.php
@@ -0,0 +1,20 @@
+<?php
+
+/**
+ * nistp521
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+final class nistp521 extends secp521r1
+{
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistt571.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistt571.php
new file mode 100644
index 000000000..df92a3951
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/nistt571.php
@@ -0,0 +1,20 @@
+<?php
+
+/**
+ * nistt571
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+final class nistt571 extends sect571k1
+{
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/prime192v1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/prime192v1.php
new file mode 100644
index 000000000..d329122a8
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/prime192v1.php
@@ -0,0 +1,20 @@
+<?php
+
+/**
+ * prime192v1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+final class prime192v1 extends secp192r1
+{
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/prime192v2.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/prime192v2.php
new file mode 100644
index 000000000..f5dbfa6bf
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/prime192v2.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * prime192v2
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class prime192v2 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF', 16));
+        $this->setCoefficients(
+            new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC', 16),
+            new BigInteger('CC22D6DFB95C6B25E49C0D6364A4E5980C393AA21668D953', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('EEA2BAE7E1497842F2DE7769CFE9C989C072AD696F48034A', 16),
+            new BigInteger('6574D11D69B6EC7A672BB82A083DF2F2B0847DE970B2DE15', 16)
+        );
+        $this->setOrder(new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/prime192v3.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/prime192v3.php
new file mode 100644
index 000000000..0bd83d372
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/prime192v3.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * prime192v3
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class prime192v3 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF', 16));
+        $this->setCoefficients(
+            new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC', 16),
+            new BigInteger('22123DC2395A05CAA7423DAECCC94760A7D462256BD56916', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('7D29778100C65A1DA1783716588DCE2B8B4AEE8E228F1896', 16),
+            new BigInteger('38A90F22637337334B49DCB66A6DC8F9978ACA7648A943B0', 16)
+        );
+        $this->setOrder(new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/prime239v1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/prime239v1.php
new file mode 100644
index 000000000..e42e69256
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/prime239v1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * prime239v1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class prime239v1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF', 16));
+        $this->setCoefficients(
+            new BigInteger('7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC', 16),
+            new BigInteger('6B016C3BDCF18941D0D654921475CA71A9DB2FB27D1D37796185C2942C0A', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('0FFA963CDCA8816CCC33B8642BEDF905C3D358573D3F27FBBD3B3CB9AAAF', 16),
+            new BigInteger('7DEBE8E4E90A5DAE6E4054CA530BA04654B36818CE226B39FCCB7B02F1AE', 16)
+        );
+        $this->setOrder(new BigInteger('7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/prime239v2.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/prime239v2.php
new file mode 100644
index 000000000..ad6a3a866
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/prime239v2.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * prime239v2
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class prime239v2 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF', 16));
+        $this->setCoefficients(
+            new BigInteger('7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC', 16),
+            new BigInteger('617FAB6832576CBBFED50D99F0249C3FEE58B94BA0038C7AE84C8C832F2C', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('38AF09D98727705120C921BB5E9E26296A3CDCF2F35757A0EAFD87B830E7', 16),
+            new BigInteger('5B0125E4DBEA0EC7206DA0FC01D9B081329FB555DE6EF460237DFF8BE4BA', 16)
+        );
+        $this->setOrder(new BigInteger('7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/prime239v3.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/prime239v3.php
new file mode 100644
index 000000000..ad41cfe02
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/prime239v3.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * prime239v3
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class prime239v3 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF', 16));
+        $this->setCoefficients(
+            new BigInteger('7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC', 16),
+            new BigInteger('255705FA2A306654B1F4CB03D6A750A30C250102D4988717D9BA15AB6D3E', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('6768AE8E18BB92CFCF005C949AA2C6D94853D0E660BBF854B1C9505FE95A', 16),
+            new BigInteger('1607E6898F390C06BC1D552BAD226F3B6FCFE48B6E818499AF18E3ED6CF3', 16)
+        );
+        $this->setOrder(new BigInteger('7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/prime256v1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/prime256v1.php
new file mode 100644
index 000000000..8440514aa
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/prime256v1.php
@@ -0,0 +1,20 @@
+<?php
+
+/**
+ * prime256v1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+final class prime256v1 extends secp256r1
+{
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp112r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp112r1.php
new file mode 100644
index 000000000..4f0600180
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp112r1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * secp112r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class secp112r1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('DB7C2ABF62E35E668076BEAD208B', 16));
+        $this->setCoefficients(
+            new BigInteger('DB7C2ABF62E35E668076BEAD2088', 16),
+            new BigInteger('659EF8BA043916EEDE8911702B22', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('09487239995A5EE76B55F9C2F098', 16),
+            new BigInteger('A89CE5AF8724C0A23E0E0FF77500', 16)
+        );
+        $this->setOrder(new BigInteger('DB7C2ABF62E35E7628DFAC6561C5', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp112r2.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp112r2.php
new file mode 100644
index 000000000..e23e6b54d
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp112r2.php
@@ -0,0 +1,37 @@
+<?php
+
+/**
+ * secp112r2
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class secp112r2 extends Prime
+{
+    public function __construct()
+    {
+        // same modulo as secp112r1
+        $this->setModulo(new BigInteger('DB7C2ABF62E35E668076BEAD208B', 16));
+        $this->setCoefficients(
+            new BigInteger('6127C24C05F38A0AAAF65C0EF02C', 16),
+            new BigInteger('51DEF1815DB5ED74FCC34C85D709', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('4BA30AB5E892B4E1649DD0928643', 16),
+            new BigInteger('ADCD46F5882E3747DEF36E956E97', 16)
+        );
+        $this->setOrder(new BigInteger('36DF0AAFD8B8D7597CA10520D04B', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp128r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp128r1.php
new file mode 100644
index 000000000..afe1336be
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp128r1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * secp128r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class secp128r1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF', 16));
+        $this->setCoefficients(
+            new BigInteger('FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC', 16),
+            new BigInteger('E87579C11079F43DD824993C2CEE5ED3', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('161FF7528B899B2D0C28607CA52C5B86', 16),
+            new BigInteger('CF5AC8395BAFEB13C02DA292DDED7A83', 16)
+        );
+        $this->setOrder(new BigInteger('FFFFFFFE0000000075A30D1B9038A115', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp128r2.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp128r2.php
new file mode 100644
index 000000000..4e2719b12
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp128r2.php
@@ -0,0 +1,37 @@
+<?php
+
+/**
+ * secp128r2
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class secp128r2 extends Prime
+{
+    public function __construct()
+    {
+        // same as secp128r1
+        $this->setModulo(new BigInteger('FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF', 16));
+        $this->setCoefficients(
+            new BigInteger('D6031998D1B3BBFEBF59CC9BBFF9AEE1', 16),
+            new BigInteger('5EEEFCA380D02919DC2C6558BB6D8A5D', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('7B6AA5D85E572983E6FB32A7CDEBC140', 16),
+            new BigInteger('27B6916A894D3AEE7106FE805FC34B44', 16)
+        );
+        $this->setOrder(new BigInteger('3FFFFFFF7FFFFFFFBE0024720613B5A3', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp160k1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp160k1.php
new file mode 100644
index 000000000..80ff73e32
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp160k1.php
@@ -0,0 +1,48 @@
+<?php
+
+/**
+ * secp160k1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\KoblitzPrime;
+use phpseclib3\Math\BigInteger;
+
+class secp160k1 extends KoblitzPrime
+{
+    public function __construct()
+    {
+        // same as secp160r2
+        $this->setModulo(new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73', 16));
+        $this->setCoefficients(
+            new BigInteger('0000000000000000000000000000000000000000', 16),
+            new BigInteger('0000000000000000000000000000000000000007', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('3B4C382CE37AA192A4019E763036F4F5DD4D7EBB', 16),
+            new BigInteger('938CF935318FDCED6BC28286531733C3F03C4FEE', 16)
+        );
+        $this->setOrder(new BigInteger('0100000000000000000001B8FA16DFAB9ACA16B6B3', 16));
+
+        $this->basis = [];
+        $this->basis[] = [
+            'a' => new BigInteger('0096341F1138933BC2F505', -16),
+            'b' => new BigInteger('FF6E9D0418C67BB8D5F562', -16)
+        ];
+        $this->basis[] = [
+            'a' => new BigInteger('01BDCB3A09AAAABEAFF4A8', -16),
+            'b' => new BigInteger('04D12329FF0EF498EA67', -16)
+        ];
+        $this->beta = $this->factory->newInteger(new BigInteger('645B7345A143464942CC46D7CF4D5D1E1E6CBB68', -16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp160r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp160r1.php
new file mode 100644
index 000000000..5d7739c48
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp160r1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * secp160r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class secp160r1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF', 16));
+        $this->setCoefficients(
+            new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC', 16),
+            new BigInteger('1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('4A96B5688EF573284664698968C38BB913CBFC82', 16),
+            new BigInteger('23A628553168947D59DCC912042351377AC5FB32', 16)
+        );
+        $this->setOrder(new BigInteger('0100000000000000000001F4C8F927AED3CA752257', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp160r2.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp160r2.php
new file mode 100644
index 000000000..9b2789b41
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp160r2.php
@@ -0,0 +1,37 @@
+<?php
+
+/**
+ * secp160r2
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class secp160r2 extends Prime
+{
+    public function __construct()
+    {
+        // same as secp160k1
+        $this->setModulo(new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73', 16));
+        $this->setCoefficients(
+            new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70', 16),
+            new BigInteger('B4E134D3FB59EB8BAB57274904664D5AF50388BA', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('52DCB034293A117E1F4FF11B30F7199D3144CE6D', 16),
+            new BigInteger('FEAFFEF2E331F296E071FA0DF9982CFEA7D43F2E', 16)
+        );
+        $this->setOrder(new BigInteger('0100000000000000000000351EE786A818F3A1A16B', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp192k1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp192k1.php
new file mode 100644
index 000000000..79ff610cf
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp192k1.php
@@ -0,0 +1,47 @@
+<?php
+
+/**
+ * secp192k1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\KoblitzPrime;
+use phpseclib3\Math\BigInteger;
+
+class secp192k1 extends KoblitzPrime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37', 16));
+        $this->setCoefficients(
+            new BigInteger('000000000000000000000000000000000000000000000000', 16),
+            new BigInteger('000000000000000000000000000000000000000000000003', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D', 16),
+            new BigInteger('9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D', 16)
+        );
+        $this->setOrder(new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D', 16));
+
+        $this->basis = [];
+        $this->basis[] = [
+            'a' => new BigInteger('00B3FB3400DEC5C4ADCEB8655C', -16),
+            'b' => new BigInteger('8EE96418CCF4CFC7124FDA0F', -16)
+        ];
+        $this->basis[] = [
+            'a' => new BigInteger('01D90D03E8F096B9948B20F0A9', -16),
+            'b' => new BigInteger('42E49819ABBA9474E1083F6B', -16)
+        ];
+        $this->beta = $this->factory->newInteger(new BigInteger('447A96E6C647963E2F7809FEAAB46947F34B0AA3CA0BBA74', -16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp192r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp192r1.php
new file mode 100644
index 000000000..be7d38987
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp192r1.php
@@ -0,0 +1,80 @@
+<?php
+
+/**
+ * secp192r1
+ *
+ * This is the NIST P-192 curve
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class secp192r1 extends Prime
+{
+    public function __construct()
+    {
+        $modulo = new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF', 16);
+        $this->setModulo($modulo);
+
+        // algorithm 2.27 from http://diamond.boisestate.edu/~liljanab/MATH308/GuideToECC.pdf#page=66
+        /* in theory this should be faster than regular modular reductions save for one small issue.
+           to convert to / from base-2**8 with BCMath you have to call bcmul() and bcdiv() a lot.
+           to convert to / from base-2**8 with PHP64 you have to call base256_rshift() a lot.
+           in short, converting to / from base-2**8 is pretty expensive and that expense is
+           enough to offset whatever else might be gained by a simplified reduction algorithm.
+           now, if PHP supported unsigned integers things might be different. no bit-shifting
+           would be required for the PHP engine and it'd be a lot faster. but as is, BigInteger
+           uses base-2**31 or base-2**26 depending on whether or not the system is has a 32-bit
+           or a 64-bit OS.           
+        */
+        /*
+        $m_length = $this->getLengthInBytes();
+        $this->setReduction(function($c) use ($m_length) {
+            $cBytes = $c->toBytes();
+            $className = $this->className;
+
+            if (strlen($cBytes) > 2 * $m_length) {
+                list(, $r) = $c->divide($className::$modulo);
+                return $r;
+            }
+
+            $c = str_pad($cBytes, 48, "\0", STR_PAD_LEFT);
+            $c = array_reverse(str_split($c, 8));
+
+            $null = "\0\0\0\0\0\0\0\0";
+            $s1 = new BigInteger($c[2] . $c[1] . $c[0], 256);
+            $s2 = new BigInteger($null . $c[3] . $c[3], 256);
+            $s3 = new BigInteger($c[4] . $c[4] . $null, 256);
+            $s4 = new BigInteger($c[5] . $c[5] . $c[5], 256);
+
+            $r = $s1->add($s2)->add($s3)->add($s4);
+            while ($r->compare($className::$modulo) >= 0) {
+                $r = $r->subtract($className::$modulo);
+            }
+
+            return $r;
+        });
+        */
+
+        $this->setCoefficients(
+            new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC', 16),
+            new BigInteger('64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012', 16),
+            new BigInteger('07192B95FFC8DA78631011ED6B24CDD573F977A11E794811', 16)
+        );
+        $this->setOrder(new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp224k1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp224k1.php
new file mode 100644
index 000000000..6a2b9a82c
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp224k1.php
@@ -0,0 +1,47 @@
+<?php
+
+/**
+ * secp224k1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\KoblitzPrime;
+use phpseclib3\Math\BigInteger;
+
+class secp224k1 extends KoblitzPrime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D', 16));
+        $this->setCoefficients(
+            new BigInteger('00000000000000000000000000000000000000000000000000000000', 16),
+            new BigInteger('00000000000000000000000000000000000000000000000000000005', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C', 16),
+            new BigInteger('7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5', 16)
+        );
+        $this->setOrder(new BigInteger('010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7', 16));
+
+        $this->basis = [];
+        $this->basis[] = [
+            'a' => new BigInteger('00B8ADF1378A6EB73409FA6C9C637D', -16),
+            'b' => new BigInteger('94730F82B358A3776A826298FA6F', -16)
+        ];
+        $this->basis[] = [
+            'a' => new BigInteger('01DCE8D2EC6184CAF0A972769FCC8B', -16),
+            'b' => new BigInteger('4D2100BA3DC75AAB747CCF355DEC', -16)
+        ];
+        $this->beta = $this->factory->newInteger(new BigInteger('01F178FFA4B17C89E6F73AECE2AAD57AF4C0A748B63C830947B27E04', -16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp224r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp224r1.php
new file mode 100644
index 000000000..23ac22979
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp224r1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * secp224r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class secp224r1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001', 16));
+        $this->setCoefficients(
+            new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE', 16),
+            new BigInteger('B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21', 16),
+            new BigInteger('BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34', 16)
+        );
+        $this->setOrder(new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D', 16));
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp256k1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp256k1.php
new file mode 100644
index 000000000..958a48479
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp256k1.php
@@ -0,0 +1,51 @@
+<?php
+
+/**
+ * secp256k1
+ *
+ * This is the curve used in Bitcoin
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+//use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Crypt\EC\BaseCurves\KoblitzPrime;
+use phpseclib3\Math\BigInteger;
+
+//class secp256k1 extends Prime
+class secp256k1 extends KoblitzPrime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F', 16));
+        $this->setCoefficients(
+            new BigInteger('0000000000000000000000000000000000000000000000000000000000000000', 16),
+            new BigInteger('0000000000000000000000000000000000000000000000000000000000000007', 16)
+        );
+        $this->setOrder(new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141', 16));
+        $this->setBasePoint(
+            new BigInteger('79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798', 16),
+            new BigInteger('483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8', 16)
+        );
+
+        $this->basis = [];
+        $this->basis[] = [
+            'a' => new BigInteger('3086D221A7D46BCDE86C90E49284EB15', -16),
+            'b' => new BigInteger('FF1BBC8129FEF177D790AB8056F5401B3D', -16)
+        ];
+        $this->basis[] = [
+            'a' => new BigInteger('114CA50F7A8E2F3F657C1108D9D44CFD8', -16),
+            'b' => new BigInteger('3086D221A7D46BCDE86C90E49284EB15', -16)
+        ];
+        $this->beta = $this->factory->newInteger(new BigInteger('7AE96A2B657C07106E64479EAC3434E99CF0497512F58995C1396C28719501EE', -16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp256r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp256r1.php
new file mode 100644
index 000000000..f929f4fa9
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp256r1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * secp256r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class secp256r1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF', 16));
+        $this->setCoefficients(
+            new BigInteger('FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC', 16),
+            new BigInteger('5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296', 16),
+            new BigInteger('4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5', 16)
+        );
+        $this->setOrder(new BigInteger('FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551', 16));
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp384r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp384r1.php
new file mode 100644
index 000000000..8c01a761c
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp384r1.php
@@ -0,0 +1,54 @@
+<?php
+
+/**
+ * secp384r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class secp384r1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger(
+            'FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF',
+            16
+        ));
+        $this->setCoefficients(
+            new BigInteger(
+                'FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC',
+                16
+            ),
+            new BigInteger(
+                'B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF',
+                16
+            )
+        );
+        $this->setBasePoint(
+            new BigInteger(
+                'AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7',
+                16
+            ),
+            new BigInteger(
+                '3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F',
+                16
+            )
+        );
+        $this->setOrder(new BigInteger(
+            'FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973',
+            16
+        ));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp521r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp521r1.php
new file mode 100644
index 000000000..8c2b9bbd1
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/secp521r1.php
@@ -0,0 +1,48 @@
+<?php
+
+/**
+ * secp521r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Prime;
+use phpseclib3\Math\BigInteger;
+
+class secp521r1 extends Prime
+{
+    public function __construct()
+    {
+        $this->setModulo(new BigInteger('01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF' .
+                                        'FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF' .
+                                        'FFFF', 16));
+        $this->setCoefficients(
+            new BigInteger('01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF' .
+                           'FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF' .
+                           'FFFC', 16),
+            new BigInteger('0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF1' .
+                           '09E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B50' .
+                           '3F00', 16)
+        );
+        $this->setBasePoint(
+            new BigInteger('00C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D' .
+                           '3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5' .
+                           'BD66', 16),
+            new BigInteger('011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E' .
+                           '662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD1' .
+                           '6650', 16)
+        );
+        $this->setOrder(new BigInteger('01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF' .
+                                       'FFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E9138' .
+                                       '6409', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect113r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect113r1.php
new file mode 100644
index 000000000..958082a35
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect113r1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * sect113r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Binary;
+use phpseclib3\Math\BigInteger;
+
+class sect113r1 extends Binary
+{
+    public function __construct()
+    {
+        $this->setModulo(113, 9, 0);
+        $this->setCoefficients(
+            '003088250CA6E7C7FE649CE85820F7',
+            '00E8BEE4D3E2260744188BE0E9C723'
+        );
+        $this->setBasePoint(
+            '009D73616F35F4AB1407D73562C10F',
+            '00A52830277958EE84D1315ED31886'
+        );
+        $this->setOrder(new BigInteger('0100000000000000D9CCEC8A39E56F', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect113r2.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect113r2.php
new file mode 100644
index 000000000..9683c28f0
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect113r2.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * sect113r2
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Binary;
+use phpseclib3\Math\BigInteger;
+
+class sect113r2 extends Binary
+{
+    public function __construct()
+    {
+        $this->setModulo(113, 9, 0);
+        $this->setCoefficients(
+            '00689918DBEC7E5A0DD6DFC0AA55C7',
+            '0095E9A9EC9B297BD4BF36E059184F'
+        );
+        $this->setBasePoint(
+            '01A57A6A7B26CA5EF52FCDB8164797',
+            '00B3ADC94ED1FE674C06E695BABA1D'
+        );
+        $this->setOrder(new BigInteger('010000000000000108789B2496AF93', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect131r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect131r1.php
new file mode 100644
index 000000000..f1585b7f3
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect131r1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * sect131r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Binary;
+use phpseclib3\Math\BigInteger;
+
+class sect131r1 extends Binary
+{
+    public function __construct()
+    {
+        $this->setModulo(131, 8, 3, 2, 0);
+        $this->setCoefficients(
+            '07A11B09A76B562144418FF3FF8C2570B8',
+            '0217C05610884B63B9C6C7291678F9D341'
+        );
+        $this->setBasePoint(
+            '0081BAF91FDF9833C40F9C181343638399',
+            '078C6E7EA38C001F73C8134B1B4EF9E150'
+        );
+        $this->setOrder(new BigInteger('0400000000000000023123953A9464B54D', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect131r2.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect131r2.php
new file mode 100644
index 000000000..ecf7f99e0
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect131r2.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * sect131r2
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Binary;
+use phpseclib3\Math\BigInteger;
+
+class sect131r2 extends Binary
+{
+    public function __construct()
+    {
+        $this->setModulo(131, 8, 3, 2, 0);
+        $this->setCoefficients(
+            '03E5A88919D7CAFCBF415F07C2176573B2',
+            '04B8266A46C55657AC734CE38F018F2192'
+        );
+        $this->setBasePoint(
+            '0356DCD8F2F95031AD652D23951BB366A8',
+            '0648F06D867940A5366D9E265DE9EB240F'
+        );
+        $this->setOrder(new BigInteger('0400000000000000016954A233049BA98F', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect163k1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect163k1.php
new file mode 100644
index 000000000..cf51933b9
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect163k1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * sect163k1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Binary;
+use phpseclib3\Math\BigInteger;
+
+class sect163k1 extends Binary
+{
+    public function __construct()
+    {
+        $this->setModulo(163, 7, 6, 3, 0);
+        $this->setCoefficients(
+            '000000000000000000000000000000000000000001',
+            '000000000000000000000000000000000000000001'
+        );
+        $this->setBasePoint(
+            '02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8',
+            '0289070FB05D38FF58321F2E800536D538CCDAA3D9'
+        );
+        $this->setOrder(new BigInteger('04000000000000000000020108A2E0CC0D99F8A5EF', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect163r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect163r1.php
new file mode 100644
index 000000000..ca1c00ff2
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect163r1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * sect163r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Binary;
+use phpseclib3\Math\BigInteger;
+
+class sect163r1 extends Binary
+{
+    public function __construct()
+    {
+        $this->setModulo(163, 7, 6, 3, 0);
+        $this->setCoefficients(
+            '07B6882CAAEFA84F9554FF8428BD88E246D2782AE2',
+            '0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9'
+        );
+        $this->setBasePoint(
+            '0369979697AB43897789566789567F787A7876A654',
+            '00435EDB42EFAFB2989D51FEFCE3C80988F41FF883'
+        );
+        $this->setOrder(new BigInteger('03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B', 16));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect163r2.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect163r2.php
new file mode 100644
index 000000000..c473b9408
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect163r2.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * sect163r2
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Binary;
+use phpseclib3\Math\BigInteger;
+
+class sect163r2 extends Binary
+{
+    public function __construct()
+    {
+        $this->setModulo(163, 7, 6, 3, 0);
+        $this->setCoefficients(
+            '000000000000000000000000000000000000000001',
+            '020A601907B8C953CA1481EB10512F78744A3205FD'
+        );
+        $this->setBasePoint(
+            '03F0EBA16286A2D57EA0991168D4994637E8343E36',
+            '00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1'
+        );
+        $this->setOrder(new BigInteger('040000000000000000000292FE77E70C12A4234C33', 16));
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect193r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect193r1.php
new file mode 100644
index 000000000..830f1ba2d
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect193r1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * sect193r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Binary;
+use phpseclib3\Math\BigInteger;
+
+class sect193r1 extends Binary
+{
+    public function __construct()
+    {
+        $this->setModulo(193, 15, 0);
+        $this->setCoefficients(
+            '0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01',
+            '00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814'
+        );
+        $this->setBasePoint(
+            '01F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E1',
+            '0025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05'
+        );
+        $this->setOrder(new BigInteger('01000000000000000000000000C7F34A778F443ACC920EBA49', 16));
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect193r2.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect193r2.php
new file mode 100644
index 000000000..6bf2462b6
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect193r2.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * sect193r2
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Binary;
+use phpseclib3\Math\BigInteger;
+
+class sect193r2 extends Binary
+{
+    public function __construct()
+    {
+        $this->setModulo(193, 15, 0);
+        $this->setCoefficients(
+            '0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B',
+            '00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE'
+        );
+        $this->setBasePoint(
+            '00D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F',
+            '01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C'
+        );
+        $this->setOrder(new BigInteger('010000000000000000000000015AAB561B005413CCD4EE99D5', 16));
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect233k1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect233k1.php
new file mode 100644
index 000000000..7a42f299b
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect233k1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * sect233k1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Binary;
+use phpseclib3\Math\BigInteger;
+
+class sect233k1 extends Binary
+{
+    public function __construct()
+    {
+        $this->setModulo(233, 74, 0);
+        $this->setCoefficients(
+            '000000000000000000000000000000000000000000000000000000000000',
+            '000000000000000000000000000000000000000000000000000000000001'
+        );
+        $this->setBasePoint(
+            '017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126',
+            '01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3'
+        );
+        $this->setOrder(new BigInteger('8000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF', 16));
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect233r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect233r1.php
new file mode 100644
index 000000000..86d910c11
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect233r1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * sect233r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Binary;
+use phpseclib3\Math\BigInteger;
+
+class sect233r1 extends Binary
+{
+    public function __construct()
+    {
+        $this->setModulo(233, 74, 0);
+        $this->setCoefficients(
+            '000000000000000000000000000000000000000000000000000000000001',
+            '0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD'
+        );
+        $this->setBasePoint(
+            '00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B',
+            '01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052'
+        );
+        $this->setOrder(new BigInteger('01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7', 16));
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect239k1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect239k1.php
new file mode 100644
index 000000000..1c8fcd1f0
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect239k1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * sect239k1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wiggint  on <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Binary;
+use phpseclib3\Math\BigInteger;
+
+class sect239k1 extends Binary
+{
+    public function __construct()
+    {
+        $this->setModulo(239, 158, 0);
+        $this->setCoefficients(
+            '000000000000000000000000000000000000000000000000000000000000',
+            '000000000000000000000000000000000000000000000000000000000001'
+        );
+        $this->setBasePoint(
+            '29A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC',
+            '76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA'
+        );
+        $this->setOrder(new BigInteger('2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5', 16));
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect283k1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect283k1.php
new file mode 100644
index 000000000..fdd48226f
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect283k1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * sect283k1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wiggint  on <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Binary;
+use phpseclib3\Math\BigInteger;
+
+class sect283k1 extends Binary
+{
+    public function __construct()
+    {
+        $this->setModulo(283, 12, 7, 5, 0);
+        $this->setCoefficients(
+            '000000000000000000000000000000000000000000000000000000000000000000000000',
+            '000000000000000000000000000000000000000000000000000000000000000000000001'
+        );
+        $this->setBasePoint(
+            '0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836',
+            '01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259'
+        );
+        $this->setOrder(new BigInteger('01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61', 16));
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect283r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect283r1.php
new file mode 100644
index 000000000..32a52e66b
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect283r1.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * sect283r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wiggint  on <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Binary;
+use phpseclib3\Math\BigInteger;
+
+class sect283r1 extends Binary
+{
+    public function __construct()
+    {
+        $this->setModulo(283, 12, 7, 5, 0);
+        $this->setCoefficients(
+            '000000000000000000000000000000000000000000000000000000000000000000000001',
+            '027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5'
+        );
+        $this->setBasePoint(
+            '05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053',
+            '03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4'
+        );
+        $this->setOrder(new BigInteger('03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307', 16));
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect409k1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect409k1.php
new file mode 100644
index 000000000..d9c798a27
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect409k1.php
@@ -0,0 +1,39 @@
+<?php
+
+/**
+ * sect409k1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wiggint  on <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Binary;
+use phpseclib3\Math\BigInteger;
+
+class sect409k1 extends Binary
+{
+    public function __construct()
+    {
+        $this->setModulo(409, 87, 0);
+        $this->setCoefficients(
+            '00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000',
+            '00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001'
+        );
+        $this->setBasePoint(
+            '0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746',
+            '01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B'
+        );
+        $this->setOrder(new BigInteger(
+            '7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F' .
+            '83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF', 16
+        ));
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect409r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect409r1.php
new file mode 100644
index 000000000..c441180c7
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect409r1.php
@@ -0,0 +1,39 @@
+<?php
+
+/**
+ * sect409r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wiggint  on <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Binary;
+use phpseclib3\Math\BigInteger;
+
+class sect409r1 extends Binary
+{
+    public function __construct()
+    {
+        $this->setModulo(409, 87, 0);
+        $this->setCoefficients(
+            '00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001',
+            '0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F'
+        );
+        $this->setBasePoint(
+            '015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7',
+            '0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706'
+        );
+        $this->setOrder(new BigInteger(
+            '010000000000000000000000000000000000000000000000000001E2' .
+            'AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173', 16
+        ));
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect571k1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect571k1.php
new file mode 100644
index 000000000..c1dd4f11c
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect571k1.php
@@ -0,0 +1,43 @@
+<?php
+
+/**
+ * sect571k1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wiggint  on <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Binary;
+use phpseclib3\Math\BigInteger;
+
+class sect571k1 extends Binary
+{
+    public function __construct()
+    {
+        $this->setModulo(571, 10, 5, 2, 0);
+        $this->setCoefficients(
+            '000000000000000000000000000000000000000000000000000000000000000000000000' .
+            '000000000000000000000000000000000000000000000000000000000000000000000000',
+            '000000000000000000000000000000000000000000000000000000000000000000000000' .
+            '000000000000000000000000000000000000000000000000000000000000000000000001'
+        );
+        $this->setBasePoint(
+            '026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA443709584' .
+            '93B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972',
+            '0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0' .
+            'AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3'
+        );
+        $this->setOrder(new BigInteger(
+            '020000000000000000000000000000000000000000000000000000000000000000000000' .
+            '131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001', 16
+        ));
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect571r1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect571r1.php
new file mode 100644
index 000000000..95239342b
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Curves/sect571r1.php
@@ -0,0 +1,43 @@
+<?php
+
+/**
+ * sect571r1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wiggint  on <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Crypt\EC\Curves;
+
+use phpseclib3\Crypt\EC\BaseCurves\Binary;
+use phpseclib3\Math\BigInteger;
+
+class sect571r1 extends Binary
+{
+    public function __construct()
+    {
+        $this->setModulo(571, 10, 5, 2, 0);
+        $this->setCoefficients(
+            '000000000000000000000000000000000000000000000000000000000000000000000000' .
+            '000000000000000000000000000000000000000000000000000000000000000000000001',
+            '02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD' .
+            '8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A'
+        );
+        $this->setBasePoint(
+            '0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950' .
+            'F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19',
+            '037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43' .
+            'BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B'
+        );
+        $this->setOrder(new BigInteger(
+            '03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF' .
+            'E661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47', 16
+        ));
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/Common.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/Common.php
new file mode 100644
index 000000000..1993002fc
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/Common.php
@@ -0,0 +1,555 @@
+<?php
+
+/**
+ * Generic EC Key Parsing Helper functions
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\EC\Formats\Keys;
+
+use ParagonIE\ConstantTime\Hex;
+use phpseclib3\Crypt\EC\BaseCurves\Base as BaseCurve;
+use phpseclib3\Crypt\EC\BaseCurves\Prime as PrimeCurve;
+use phpseclib3\Crypt\EC\BaseCurves\Binary as BinaryCurve;
+use phpseclib3\Crypt\EC\BaseCurves\TwistedEdwards as TwistedEdwardsCurve;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Math\PrimeField;
+use phpseclib3\File\ASN1;
+use phpseclib3\File\ASN1\Maps;
+use phpseclib3\Exception\UnsupportedCurveException;
+
+/**
+ * Generic EC Key Parsing Helper functions
+ *
+ * @package EC
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+trait Common
+{
+    /**
+     * Curve OIDs
+     *
+     * @var array
+     */
+    private static $curveOIDs = [];
+
+    /**
+     * Child OIDs loaded
+     *
+     * @var bool
+     */
+    protected static $childOIDsLoaded = false;
+
+    /**
+     * Use Named Curves
+     *
+     * @var bool
+     */
+    private static $useNamedCurves = true;
+
+    /**
+     * Initialize static variables
+     */
+    private static function initialize_static_variables()
+    {
+        if (empty(self::$curveOIDs)) {
+            // the sec* curves are from the standards for efficient cryptography group
+            // sect* curves are curves over binary finite fields
+            // secp* curves are curves over prime finite fields
+            // sec*r* curves are regular curves; sec*k* curves are koblitz curves
+            // brainpool*r* curves are regular prime finite field curves
+            // brainpool*t* curves are twisted versions of the brainpool*r* curves
+            self::$curveOIDs = [
+                'prime192v1' => '1.2.840.10045.3.1.1', // J.5.1, example 1 (aka secp192r1)
+                'prime192v2' => '1.2.840.10045.3.1.2', // J.5.1, example 2
+                'prime192v3' => '1.2.840.10045.3.1.3', // J.5.1, example 3
+                'prime239v1' => '1.2.840.10045.3.1.4', // J.5.2, example 1
+                'prime239v2' => '1.2.840.10045.3.1.5', // J.5.2, example 2
+                'prime239v3' => '1.2.840.10045.3.1.6', // J.5.2, example 3
+                'prime256v1' => '1.2.840.10045.3.1.7', // J.5.3, example 1 (aka secp256r1)
+
+                // https://tools.ietf.org/html/rfc5656#section-10
+                'nistp256' => '1.2.840.10045.3.1.7', // aka secp256r1
+                'nistp384' => '1.3.132.0.34', // aka secp384r1
+                'nistp521' => '1.3.132.0.35', // aka secp521r1
+
+                'nistk163' => '1.3.132.0.1', // aka sect163k1
+                'nistp192' => '1.2.840.10045.3.1.1', // aka secp192r1
+                'nistp224' => '1.3.132.0.33', // aka secp224r1
+                'nistk233' => '1.3.132.0.26', // aka sect233k1
+                'nistb233' => '1.3.132.0.27', // aka sect233r1
+                'nistk283' => '1.3.132.0.16', // aka sect283k1
+                'nistk409' => '1.3.132.0.36', // aka sect409k1
+                'nistb409' => '1.3.132.0.37', // aka sect409r1
+                'nistt571' => '1.3.132.0.38', // aka sect571k1
+
+                // from https://tools.ietf.org/html/rfc5915
+                'secp192r1' => '1.2.840.10045.3.1.1', // aka prime192v1
+                'sect163k1' => '1.3.132.0.1',
+                'sect163r2' => '1.3.132.0.15',
+                'secp224r1' => '1.3.132.0.33',
+                'sect233k1'=> '1.3.132.0.26',
+                'sect233r1'=> '1.3.132.0.27',
+                'secp256r1' => '1.2.840.10045.3.1.7', // aka prime256v1
+                'sect283k1' => '1.3.132.0.16',
+                'sect283r1' => '1.3.132.0.17',
+                'secp384r1' => '1.3.132.0.34',
+                'sect409k1' => '1.3.132.0.36',
+                'sect409r1' => '1.3.132.0.37',
+                'secp521r1' => '1.3.132.0.35',
+                'sect571k1' => '1.3.132.0.38',
+                'sect571r1' => '1.3.132.0.39',
+                // from http://www.secg.org/SEC2-Ver-1.0.pdf
+                'secp112r1' => '1.3.132.0.6',
+                'secp112r2' => '1.3.132.0.7',
+                'secp128r1' => '1.3.132.0.28',
+                'secp128r2' => '1.3.132.0.29',
+                'secp160k1' => '1.3.132.0.9',
+                'secp160r1' => '1.3.132.0.8',
+                'secp160r2' => '1.3.132.0.30',
+                'secp192k1' => '1.3.132.0.31',
+                'secp224k1' => '1.3.132.0.32',
+                'secp256k1' => '1.3.132.0.10',
+
+                'sect113r1' => '1.3.132.0.4',
+                'sect113r2' => '1.3.132.0.5',
+                'sect131r1' => '1.3.132.0.22',
+                'sect131r2' => '1.3.132.0.23',
+                'sect163r1' => '1.3.132.0.2',
+                'sect193r1' => '1.3.132.0.24',
+                'sect193r2' => '1.3.132.0.25',
+                'sect239k1' => '1.3.132.0.3',
+
+                // from http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.202.2977&rep=rep1&type=pdf#page=36
+                /*
+                'c2pnb163v1' => '1.2.840.10045.3.0.1', // J.4.1, example 1
+                'c2pnb163v2' => '1.2.840.10045.3.0.2', // J.4.1, example 2
+                'c2pnb163v3' => '1.2.840.10045.3.0.3', // J.4.1, example 3
+                'c2pnb172w1' => '1.2.840.10045.3.0.4', // J.4.2, example 1
+                'c2tnb191v1' => '1.2.840.10045.3.0.5', // J.4.3, example 1
+                'c2tnb191v2' => '1.2.840.10045.3.0.6', // J.4.3, example 2
+                'c2tnb191v3' => '1.2.840.10045.3.0.7', // J.4.3, example 3
+                'c2onb191v4' => '1.2.840.10045.3.0.8', // J.4.3, example 4
+                'c2onb191v5' => '1.2.840.10045.3.0.9', // J.4.3, example 5
+                'c2pnb208w1' => '1.2.840.10045.3.0.10', // J.4.4, example 1
+                'c2tnb239v1' => '1.2.840.10045.3.0.11', // J.4.5, example 1
+                'c2tnb239v2' => '1.2.840.10045.3.0.12', // J.4.5, example 2
+                'c2tnb239v3' => '1.2.840.10045.3.0.13', // J.4.5, example 3
+                'c2onb239v4' => '1.2.840.10045.3.0.14', // J.4.5, example 4
+                'c2onb239v5' => '1.2.840.10045.3.0.15', // J.4.5, example 5
+                'c2pnb272w1' => '1.2.840.10045.3.0.16', // J.4.6, example 1
+                'c2pnb304w1' => '1.2.840.10045.3.0.17', // J.4.7, example 1
+                'c2tnb359v1' => '1.2.840.10045.3.0.18', // J.4.8, example 1
+                'c2pnb368w1' => '1.2.840.10045.3.0.19', // J.4.9, example 1
+                'c2tnb431r1' => '1.2.840.10045.3.0.20', // J.4.10, example 1
+                */
+
+                // http://www.ecc-brainpool.org/download/Domain-parameters.pdf
+                // https://tools.ietf.org/html/rfc5639
+                'brainpoolP160r1' => '1.3.36.3.3.2.8.1.1.1',
+                'brainpoolP160t1' => '1.3.36.3.3.2.8.1.1.2',
+                'brainpoolP192r1' => '1.3.36.3.3.2.8.1.1.3',
+                'brainpoolP192t1' => '1.3.36.3.3.2.8.1.1.4',
+                'brainpoolP224r1' => '1.3.36.3.3.2.8.1.1.5',
+                'brainpoolP224t1' => '1.3.36.3.3.2.8.1.1.6',
+                'brainpoolP256r1' => '1.3.36.3.3.2.8.1.1.7',
+                'brainpoolP256t1' => '1.3.36.3.3.2.8.1.1.8',
+                'brainpoolP320r1' => '1.3.36.3.3.2.8.1.1.9',
+                'brainpoolP320t1' => '1.3.36.3.3.2.8.1.1.10',
+                'brainpoolP384r1' => '1.3.36.3.3.2.8.1.1.11',
+                'brainpoolP384t1' => '1.3.36.3.3.2.8.1.1.12',
+                'brainpoolP512r1' => '1.3.36.3.3.2.8.1.1.13',
+                'brainpoolP512t1' => '1.3.36.3.3.2.8.1.1.14'
+            ];
+            ASN1::loadOIDs([
+                'prime-field' => '1.2.840.10045.1.1',
+                'characteristic-two-field' => '1.2.840.10045.1.2',
+                'characteristic-two-basis' => '1.2.840.10045.1.2.3',
+                // per http://www.secg.org/SEC1-Ver-1.0.pdf#page=84, gnBasis "not used here"
+                'gnBasis' => '1.2.840.10045.1.2.3.1', // NULL
+                'tpBasis' => '1.2.840.10045.1.2.3.2', // Trinomial
+                'ppBasis' => '1.2.840.10045.1.2.3.3'  // Pentanomial
+            ] + self::$curveOIDs);
+        }
+    }
+
+    /**
+     * Explicitly set the curve
+     *
+     * If the key contains an implicit curve phpseclib needs the curve
+     * to be explicitly provided
+     *
+     * @param \phpseclib3\Crypt\EC\BaseCurves\Base $curve
+     */
+    public static function setImplicitCurve(BaseCurve $curve)
+    {
+        self::$implicitCurve = $curve;
+    }
+
+    /**
+     * Returns an instance of \phpseclib3\Crypt\EC\BaseCurves\Base based
+     * on the curve parameters
+     *
+     * @param array $params
+     * @return \phpseclib3\Crypt\EC\BaseCurves\Base|false
+     */
+    protected static function loadCurveByParam(array $params)
+    {
+        if (count($params) > 1) {
+            throw new \RuntimeException('No parameters are present');
+        }
+        if (isset($params['namedCurve'])) {
+            $curve = '\phpseclib3\Crypt\EC\Curves\\' . $params['namedCurve'];
+            if (!class_exists($curve)) {
+                throw new UnsupportedCurveException('Named Curve of ' . $params['namedCurve'] . ' is not supported');
+            }
+            return new $curve();
+        }
+        if (isset($params['implicitCurve'])) {
+            if (!isset(self::$implicitCurve)) {
+                throw new \RuntimeException('Implicit curves can be provided by calling setImplicitCurve');
+            }
+            return self::$implicitCurve;
+        }
+        if (isset($params['specifiedCurve'])) {
+            $data = $params['specifiedCurve'];
+            switch ($data['fieldID']['fieldType']) {
+                case 'prime-field':
+                    $curve = new PrimeCurve();
+                    $curve->setModulo($data['fieldID']['parameters']);
+                    $curve->setCoefficients(
+                        new BigInteger($data['curve']['a'], 256),
+                        new BigInteger($data['curve']['b'], 256)
+                    );
+                    $point = self::extractPoint("\0" . $data['base'], $curve);
+                    $curve->setBasePoint(...$point);
+                    $curve->setOrder($data['order']);
+                    return $curve;
+                case 'characteristic-two-field':
+                    $curve = new BinaryCurve();
+                    $params = ASN1::decodeBER($data['fieldID']['parameters']);
+                    $params = ASN1::asn1map($params[0], Maps\Characteristic_two::MAP);
+                    $modulo = [(int) $params['m']->toString()];
+                    switch ($params['basis']) {
+                        case 'tpBasis':
+                            $modulo[] = (int) $params['parameters']->toString();
+                            break;
+                        case 'ppBasis':
+                            $temp = ASN1::decodeBER($params['parameters']);
+                            $temp = ASN1::asn1map($temp[0], Maps\Pentanomial::MAP);
+                            $modulo[] = (int) $temp['k3']->toString();
+                            $modulo[] = (int) $temp['k2']->toString();
+                            $modulo[] = (int) $temp['k1']->toString();
+                    }
+                    $modulo[] = 0;
+                    $curve->setModulo(...$modulo);
+                    $len = ceil($modulo[0] / 8);
+                    $curve->setCoefficients(
+                        Hex::encode($data['curve']['a']),
+                        Hex::encode($data['curve']['b'])
+                    );
+                    $point = self::extractPoint("\0" . $data['base'], $curve);
+                    $curve->setBasePoint(...$point);
+                    $curve->setOrder($data['order']);
+                    return $curve;
+                default:
+                    throw new UnsupportedCurveException('Field Type of ' . $data['fieldID']['fieldType'] . ' is not supported');
+            }
+        }
+        throw new \RuntimeException('No valid parameters are present');
+    }
+
+    /**
+     * Extract points from a string
+     *
+     * Supports both compressed and uncompressed points
+     *
+     * @param string $str
+     * @param \phpseclib3\Crypt\EC\BaseCurves\Base $curve
+     * @return object[]
+     */
+    public static function extractPoint($str, BaseCurve $curve)
+    {
+        if ($curve instanceof TwistedEdwardsCurve) {
+            // first step of point deciding as discussed at the following URL's:
+            // https://tools.ietf.org/html/rfc8032#section-5.1.3
+            // https://tools.ietf.org/html/rfc8032#section-5.2.3
+            $y = $str;
+            $y = strrev($y);
+            $sign = (bool) (ord($y[0]) & 0x80);
+            $y[0] = $y[0] & chr(0x7F);
+            $y = new BigInteger($y, 256);
+            if ($y->compare($curve->getModulo()) >= 0) {
+                throw new \RuntimeException('The Y coordinate should not be >= the modulo');
+            }
+            $point = $curve->recoverX($y, $sign);
+            if (!$curve->verifyPoint($point)) {
+                throw new \RuntimeException('Unable to verify that point exists on curve');
+            }
+            return $point;
+        }
+
+        // the first byte of a bit string represents the number of bits in the last byte that are to be ignored but,
+        // currently, bit strings wanting a non-zero amount of bits trimmed are not supported
+        if (($val = Strings::shift($str)) != "\0") {
+            throw new \UnexpectedValueException('extractPoint expects the first byte to be null - not ' . Hex::encode($val));
+        }
+        if ($str == "\0") {
+            return [];
+        }
+
+        $keylen = strlen($str);
+        $order = $curve->getLengthInBytes();
+        // point compression is being used
+        if ($keylen == $order + 1) {
+            return $curve->derivePoint($str);
+        }
+
+        // point compression is not being used
+        if ($keylen == 2 * $order + 1) {
+            preg_match("#(.)(.{{$order}})(.{{$order}})#s", $str, $matches);
+            list(, $w, $x, $y) = $matches;
+            if ($w != "\4") {
+                throw new \UnexpectedValueException('The first byte of an uncompressed point should be 04 - not ' . Hex::encode($val));
+            }
+            $point = [
+                $curve->convertInteger(new BigInteger($x, 256)),
+                $curve->convertInteger(new BigInteger($y, 256))
+            ];
+
+            if (!$curve->verifyPoint($point)) {
+                throw new \RuntimeException('Unable to verify that point exists on curve');
+            }
+
+            return $point;
+        }
+
+        throw new \UnexpectedValueException('The string representation of the points is not of an appropriate length');
+    }
+
+    /**
+     * Encode Parameters
+     *
+     * @todo Maybe at some point this could be moved to __toString() for each of the curves?
+     * @param \phpseclib3\Crypt\EC\BaseCurves\Base $curve
+     * @param bool $returnArray optional
+     * @param array $options optional
+     * @return string|false
+     */
+    private static function encodeParameters(BaseCurve $curve, $returnArray = false, array $options = [])
+    {
+        $useNamedCurves = isset($options['namedCurve']) ? $options['namedCurve'] : self::$useNamedCurves;
+
+        $reflect = new \ReflectionClass($curve);
+        $name = $reflect->getShortName();
+        if ($useNamedCurves) {
+            if (isset(self::$curveOIDs[$name])) {
+                if ($reflect->isFinal()) {
+                    $reflect = $reflect->getParentClass();
+                    $name = $reflect->getShortName();
+                }
+                return $returnArray ?
+                    ['namedCurve' => $name] :
+                    ASN1::encodeDER(['namedCurve' => $name], Maps\ECParameters::MAP);
+            }
+            foreach (new \DirectoryIterator(__DIR__ . '/../../Curves/') as $file) {
+                if ($file->getExtension() != 'php') {
+                    continue;
+                }
+                $testName = $file->getBasename('.php');
+                $class = 'phpseclib3\Crypt\EC\Curves\\' . $testName;
+                $reflect = new \ReflectionClass($class);
+                if ($reflect->isFinal()) {
+                    continue;
+                }
+                $candidate = new $class();
+                switch ($name) {
+                    case 'Prime':
+                        if (!$candidate instanceof PrimeCurve) {
+                            break;
+                        }
+                        if (!$candidate->getModulo()->equals($curve->getModulo())) {
+                            break;
+                        }
+                        if ($candidate->getA()->toBytes() != $curve->getA()->toBytes()) {
+                            break;
+                        }
+                        if ($candidate->getB()->toBytes() != $curve->getB()->toBytes()) {
+                            break;
+                        }
+
+                        list($candidateX, $candidateY) = $candidate->getBasePoint();
+                        list($curveX, $curveY) = $curve->getBasePoint();
+                        if ($candidateX->toBytes() != $curveX->toBytes()) {
+                            break;
+                        }
+                        if ($candidateY->toBytes() != $curveY->toBytes()) {
+                            break;
+                        }
+
+                        return $returnArray ?
+                            ['namedCurve' => $testName] :
+                            ASN1::encodeDER(['namedCurve' => $testName], Maps\ECParameters::MAP);
+                    case 'Binary':
+                        if (!$candidate instanceof BinaryCurve) {
+                            break;
+                        }
+                        if ($candidate->getModulo() != $curve->getModulo()) {
+                            break;
+                        }
+                        if ($candidate->getA()->toBytes() != $curve->getA()->toBytes()) {
+                            break;
+                        }
+                        if ($candidate->getB()->toBytes() != $curve->getB()->toBytes()) {
+                            break;
+                        }
+
+                        list($candidateX, $candidateY) = $candidate->getBasePoint();
+                        list($curveX, $curveY) = $curve->getBasePoint();
+                        if ($candidateX->toBytes() != $curveX->toBytes()) {
+                            break;
+                        }
+                        if ($candidateY->toBytes() != $curveY->toBytes()) {
+                            break;
+                        }
+
+                        return $returnArray ?
+                            ['namedCurve' => $testName] :
+                            ASN1::encodeDER(['namedCurve' => $testName], Maps\ECParameters::MAP);
+                }
+            }
+        }
+
+        $order = $curve->getOrder();
+        // we could try to calculate the order thusly:
+        // https://crypto.stackexchange.com/a/27914/4520
+        // https://en.wikipedia.org/wiki/Schoof%E2%80%93Elkies%E2%80%93Atkin_algorithm
+        if (!$order) {
+            throw new \RuntimeException('Specified Curves need the order to be specified');
+        }
+        $point = $curve->getBasePoint();
+        $x = $point[0]->toBytes();
+        $y = $point[1]->toBytes();
+
+        if ($curve instanceof PrimeCurve) {
+            /*
+             * valid versions are:
+             *
+             * ecdpVer1:
+             *   - neither the curve or the base point are generated verifiably randomly.
+             * ecdpVer2:
+             *   - curve and base point are generated verifiably at random and curve.seed is present
+             * ecdpVer3: 
+             *   - base point is generated verifiably at random but curve is not. curve.seed is present
+             */
+            // other (optional) parameters can be calculated using the methods discused at
+            // https://crypto.stackexchange.com/q/28947/4520
+            $data = [
+                'version' => 'ecdpVer1',
+                'fieldID' => [
+                    'fieldType' => 'prime-field',
+                    'parameters' => $curve->getModulo()
+                ],
+                'curve' => [
+                    'a' => $curve->getA()->toBytes(),
+                    'b' => $curve->getB()->toBytes()
+                ],
+                'base' => "\4" . $x . $y,
+                'order' => $order
+            ];
+
+            return $returnArray ?
+                ['specifiedCurve' => $data] :
+                ASN1::encodeDER(['specifiedCurve' => $data], Maps\ECParameters::MAP);
+        }
+        if ($curve instanceof BinaryCurve) {
+            $modulo = $curve->getModulo();
+            $basis = count($modulo);
+            $m = array_shift($modulo);
+            array_pop($modulo); // the last parameter should always be 0
+            //rsort($modulo);
+            switch ($basis) {
+                case 3:
+                    $basis = 'tpBasis';
+                    $modulo = new BigInteger($modulo[0]);
+                    break;
+                case 5:
+                    $basis = 'ppBasis';
+                    // these should be in strictly ascending order (hence the commented out rsort above)
+                    $modulo = [
+                        'k1' => new BigInteger($modulo[2]),
+                        'k2' => new BigInteger($modulo[1]),
+                        'k3' => new BigInteger($modulo[0])
+                    ];
+                    $modulo = ASN1::encodeDER($modulo, Maps\Pentanomial::MAP);
+                    $modulo = new ASN1\Element($modulo);
+            }
+            $params = ASN1::encodeDER([
+                'm' => new BigInteger($m),
+                'basis' => $basis,
+                'parameters' => $modulo
+            ], Maps\Characteristic_two::MAP);
+            $params = new ASN1\Element($params);
+            $a = ltrim($curve->getA()->toBytes(), "\0");
+            if (!strlen($a)) {
+                $a = "\0";
+            }
+            $b = ltrim($curve->getB()->toBytes(), "\0");
+            if (!strlen($b)) {
+                $b = "\0";
+            }
+            $data = [
+                'version' => 'ecdpVer1',
+                'fieldID' => [
+                    'fieldType' => 'characteristic-two-field',
+                    'parameters' => $params
+                ],
+                'curve' => [
+                    'a' => $a,
+                    'b' => $b
+                ],
+                'base' => "\4" . $x . $y,
+                'order' => $order
+            ];
+
+            return $returnArray ?
+                ['specifiedCurve' => $data] :
+                ASN1::encodeDER(['specifiedCurve' => $data], Maps\ECParameters::MAP);
+        }
+
+        throw new UnsupportedCurveException('Curve cannot be serialized');
+    }
+
+    /**
+     * Use Specified Curve
+     *
+     * A specified curve has all the coefficients, the base points, etc, explicitely included.
+     * A specified curve is a more verbose way of representing a curve
+     */
+    public static function useSpecifiedCurve()
+    {
+        self::$useNamedCurves = false;
+    }
+
+    /**
+     * Use Named Curve
+     *
+     * A named curve does not include any parameters. It is up to the EC parameters to
+     * know what the coefficients, the base points, etc, are from the name of the curve.
+     * A named curve is a more concise way of representing a curve
+     */
+    public static function useNamedCurve()
+    {
+        self::$useNamedCurves = true;
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/MontgomeryPrivate.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/MontgomeryPrivate.php
new file mode 100644
index 000000000..b0c850100
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/MontgomeryPrivate.php
@@ -0,0 +1,108 @@
+<?php
+
+/**
+ * Montgomery Private Key Handler
+ *
+ * "Naked" Curve25519 private keys can pretty much be any sequence of random 32x bytes so unless
+ * we have a "hidden" key handler pretty much every 32 byte string will be loaded as a curve25519
+ * private key even if it probably isn't one by PublicKeyLoader.
+ *
+ * "Naked" Curve25519 public keys also a string of 32 bytes so distinguishing between a "naked"
+ * curve25519 private key and a public key is nigh impossible, hence separate plugins for each
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\EC\Formats\Keys;
+
+use phpseclib3\Crypt\EC\Curves\Curve25519;
+use phpseclib3\Crypt\EC\Curves\Curve448;
+use phpseclib3\Crypt\EC\BaseCurves\Montgomery as MontgomeryCurve;
+use phpseclib3\Math\Common\FiniteField\Integer;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Exception\UnsupportedFormatException;
+
+/**
+ * Montgomery Curve Private Key Handler
+ *
+ * @package EC
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class MontgomeryPrivate
+{
+    /**
+     * Is invisible flag
+     *
+     * @access private
+     */
+    const IS_INVISIBLE = true;
+
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        switch (strlen($key)) {
+            case 32:
+                $curve = new Curve25519;
+                break;
+            case 56:
+                $curve = new Curve448;
+                break;
+            default:
+                throw new \LengthException('The only supported lengths are 32 and 56');
+        }
+
+        $components = ['curve' => $curve];
+        $components['dA'] = $components['curve']->convertInteger(new BigInteger($key, 256));
+        // note that EC::getEncodedCoordinates does some additional "magic" (it does strrev on the result)
+        $components['QA'] = $components['curve']->multiplyPoint($components['curve']->getBasePoint(), $components['dA']);
+
+        return $components;
+    }
+
+    /**
+     * Convert an EC public key to the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Crypt\EC\BaseCurves\Montgomery $curve
+     * @param \phpseclib3\Math\Common\FiniteField\Integer[] $publicKey
+     * @return string
+     */
+    public static function savePublicKey(MontgomeryCurve $curve, array $publicKey)
+    {
+        return strrev($publicKey[0]->toBytes());
+    }
+
+    /**
+     * Convert a private key to the appropriate format.
+     *
+     * @access public
+     * @param \phpseclib3\Math\Common\FiniteField\Integer $privateKey
+     * @param \phpseclib3\Crypt\EC\BaseCurves\Montgomery $curve
+     * @param \phpseclib3\Math\Common\FiniteField\Integer[] $publicKey
+     * @param string $password optional
+     * @return string
+     */
+    public static function savePrivateKey(Integer $privateKey, MontgomeryCurve $curve, array $publicKey, $password = '')
+    {
+        if (!empty($password) && is_string($password)) {
+            throw new UnsupportedFormatException('MontgomeryPrivate private keys do not support encryption');
+        }
+
+        return $privateKey->toBytes();
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/MontgomeryPublic.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/MontgomeryPublic.php
new file mode 100644
index 000000000..72dc80b17
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/MontgomeryPublic.php
@@ -0,0 +1,79 @@
+<?php
+
+/**
+ * Montgomery Public Key Handler
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\EC\Formats\Keys;
+
+use phpseclib3\Crypt\EC\Curves\Curve25519;
+use phpseclib3\Crypt\EC\Curves\Curve448;
+use phpseclib3\Crypt\EC\BaseCurves\Montgomery as MontgomeryCurve;
+use phpseclib3\Math\Common\FiniteField\Integer;
+use phpseclib3\Math\BigInteger;
+
+/**
+ * Montgomery Public Key Handler
+ *
+ * @package EC
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class MontgomeryPublic
+{
+    /**
+     * Is invisible flag
+     *
+     * @access private
+     */
+    const IS_INVISIBLE = true;
+
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        switch (strlen($key)) {
+            case 32:
+                $curve = new Curve25519;
+                break;
+            case 56:
+                $curve = new Curve448;
+                break;
+            default:
+                throw new \LengthException('The only supported lengths are 32 and 56');
+        }
+
+        $components = ['curve' => $curve];
+        $components['QA'] = [$components['curve']->convertInteger(new BigInteger(strrev($key), 256))];
+
+        return $components;
+    }
+
+    /**
+     * Convert an EC public key to the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Crypt\EC\BaseCurves\Montgomery $curve
+     * @param \phpseclib3\Math\Common\FiniteField\Integer[] $publicKey
+     * @return string
+     */
+    public static function savePublicKey(MontgomeryCurve $curve, array $publicKey)
+    {
+        return strrev($publicKey[0]->toBytes());
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/OpenSSH.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/OpenSSH.php
new file mode 100644
index 000000000..5372e11bb
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/OpenSSH.php
@@ -0,0 +1,216 @@
+<?php
+
+/**
+ * OpenSSH Formatted EC Key Handler
+ *
+ * PHP version 5
+ *
+ * Place in $HOME/.ssh/authorized_keys
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\EC\Formats\Keys;
+
+use ParagonIE\ConstantTime\Base64;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Crypt\Common\Formats\Keys\OpenSSH as Progenitor;
+use phpseclib3\Crypt\EC\BaseCurves\Base as BaseCurve;
+use phpseclib3\Exception\UnsupportedCurveException;
+use phpseclib3\Crypt\EC\Curves\Ed25519;
+use phpseclib3\Math\Common\FiniteField\Integer;
+
+/**
+ * OpenSSH Formatted EC Key Handler
+ *
+ * @package EC
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class OpenSSH extends Progenitor
+{
+    use Common;
+
+    /**
+     * Supported Key Types
+     *
+     * @var array
+     */
+    protected static $types = [
+        'ecdsa-sha2-nistp256',
+        'ecdsa-sha2-nistp384',
+        'ecdsa-sha2-nistp521',
+        'ssh-ed25519'
+    ];
+
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        $parsed = parent::load($key, $password);
+
+        if (isset($parsed['paddedKey'])) {
+            $paddedKey = $parsed['paddedKey'];
+            list($type) = Strings::unpackSSH2('s', $paddedKey);
+            if ($type != $parsed['type']) {
+                throw new \RuntimeException("The public and private keys are not of the same type ($type vs $parsed[type])");
+            }
+            if ($type == 'ssh-ed25519' ) {
+                list(, $key, $comment) = Strings::unpackSSH2('sss', $paddedKey);
+                $key = libsodium::load($key);
+                $key['comment'] = $comment;
+                return $key;
+            }
+            list($curveName, $publicKey, $privateKey, $comment) = Strings::unpackSSH2('ssis', $paddedKey);
+            $curve = self::loadCurveByParam(['namedCurve' => $curveName]);
+            return [
+                'curve' => $curve,
+                'dA' => $curve->convertInteger($privateKey),
+                'QA' => self::extractPoint("\0$publicKey", $curve),
+                'comment' => $comment
+            ];
+        }
+
+        if ($parsed['type'] == 'ssh-ed25519') {
+            if (Strings::shift($parsed['publicKey'], 4) != "\0\0\0\x20") {
+                throw new \RuntimeException('Length of ssh-ed25519 key should be 32');
+            }
+
+            $curve = new Ed25519();
+            $qa = self::extractPoint($parsed['publicKey'], $curve);
+        } else {
+            list($curveName, $publicKey) = Strings::unpackSSH2('ss', $parsed['publicKey']);
+            $curveName = '\phpseclib3\Crypt\EC\Curves\\' . $curveName;
+            $curve = new $curveName();
+
+            $qa = self::extractPoint("\0" . $publicKey, $curve);
+        }
+
+        return [
+            'curve' => $curve,
+            'QA' => $qa,
+            'comment' => $parsed['comment']
+        ];
+    }
+
+    /**
+     * Returns the alias that corresponds to a curve
+     *
+     * @return string
+     */
+    private static function getAlias(BaseCurve $curve)
+    {
+        self::initialize_static_variables();
+
+        $reflect = new \ReflectionClass($curve);
+        $name = $reflect->getShortName();
+
+        $oid = self::$curveOIDs[$name];
+        $aliases = array_filter(self::$curveOIDs, function($v) use ($oid) {
+            return $v == $oid;
+        });
+        $aliases = array_keys($aliases);
+
+        for ($i = 0; $i < count($aliases); $i++) {
+            if (in_array('ecdsa-sha2-' . $aliases[$i], self::$types)) {
+                $alias = $aliases[$i];
+                break;
+            }
+        }
+
+        if (!isset($alias)) {
+            throw new UnsupportedCurveException($name . ' is not a curve that the OpenSSH plugin supports');
+        }
+
+        return $alias;
+    }
+
+    /**
+     * Convert an EC public key to the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Crypt\EC\BaseCurves\Base $curve
+     * @param \phpseclib3\Math\Common\FiniteField\Integer[] $publicKey
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePublicKey(BaseCurve $curve, array $publicKey, array $options = [])
+    {
+        $comment = isset($options['comment']) ? $options['comment'] : self::$comment;
+
+        if ($curve instanceof Ed25519) {
+            $key = Strings::packSSH2('ss', 'ssh-ed25519', $curve->encodePoint($publicKey));
+
+            if (isset($options['binary']) ? $options['binary'] : self::$binary) {
+                return $key;
+            }
+
+            $key = 'ssh-ed25519 ' . base64_encode($key) . ' ' . $comment;
+            return $key;
+        }
+
+        $alias = self::getAlias($curve);
+
+        $points = "\4" . $publicKey[0]->toBytes() . $publicKey[1]->toBytes();
+        $key = Strings::packSSH2('sss', 'ecdsa-sha2-' . $alias, $alias, $points);
+
+        if (isset($options['binary']) ? $options['binary'] : self::$binary) {
+            return $key;
+        }
+
+        $key = 'ecdsa-sha2-' . $alias . ' ' . base64_encode($key) . ' ' . $comment;
+
+        return $key;
+    }
+
+    /**
+     * Convert a private key to the appropriate format.
+     *
+     * @access public
+     * @param \phpseclib3\Math\Common\FiniteField\Integer $privateKey
+     * @param \phpseclib3\Crypt\EC\Curves\Ed25519 $curve
+     * @param \phpseclib3\Math\Common\FiniteField\Integer[] $publicKey
+     * @param string $password optional
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePrivateKey(Integer $privateKey, BaseCurve $curve, array $publicKey, $password = '', array $options = [])
+    {
+        if ($curve instanceof Ed25519) {
+            if (!isset($privateKey->secret)) {
+                throw new \RuntimeException('Private Key does not have a secret set');
+            }
+            if (strlen($privateKey->secret) != 32) {
+                throw new \RuntimeException('Private Key secret is not of the correct length');
+            }
+
+            $pubKey = $curve->encodePoint($publicKey);
+
+            $publicKey = Strings::packSSH2('ss', 'ssh-ed25519', $pubKey);
+            $privateKey = Strings::packSSH2('sss', 'ssh-ed25519', $pubKey, $privateKey->secret . $pubKey);
+
+            return self::wrapPrivateKey($publicKey, $privateKey, $password, $options);
+        }
+
+        $alias = self::getAlias($curve);
+
+        $points = "\4" . $publicKey[0]->toBytes() . $publicKey[1]->toBytes();
+        $publicKey = self::savePublicKey($curve, $publicKey, ['binary' => true]);
+
+        $privateKey = Strings::packSSH2('sssi', 'ecdsa-sha2-' . $alias, $alias, $points, $privateKey);
+
+        return self::wrapPrivateKey($publicKey, $privateKey, $password, $options);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/PKCS1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/PKCS1.php
new file mode 100644
index 000000000..b28492bcd
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/PKCS1.php
@@ -0,0 +1,203 @@
+<?php
+
+/**
+ * "PKCS1" (RFC5915) Formatted EC Key Handler
+ *
+ * PHP version 5
+ *
+ * Used by File/X509.php
+ *
+ * Processes keys with the following headers:
+ *
+ * -----BEGIN EC PRIVATE KEY-----
+ * -----BEGIN EC PARAMETERS-----
+ *
+ * Technically, PKCS1 is for RSA keys, only, but we're using PKCS1 to describe
+ * DSA, whose format isn't really formally described anywhere, so might as well
+ * use it to describe this, too. PKCS1 is easier to remember than RFC5915, after
+ * all. I suppose this could also be named IETF but idk
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\EC\Formats\Keys;
+
+use phpseclib3\Math\Common\FiniteField\Integer;
+use phpseclib3\Crypt\Common\Formats\Keys\PKCS1 as Progenitor;
+use phpseclib3\File\ASN1;
+use phpseclib3\File\ASN1\Maps;
+use phpseclib3\Crypt\EC\BaseCurves\Base as BaseCurve;
+use phpseclib3\Math\BigInteger;
+use ParagonIE\ConstantTime\Base64;
+use phpseclib3\Crypt\EC\BaseCurves\TwistedEdwards as TwistedEdwardsCurve;
+use phpseclib3\Crypt\EC\BaseCurves\Montgomery as MontgomeryCurve;
+use phpseclib3\Exception\UnsupportedCurveException;
+use phpseclib3\Common\Functions\Strings;
+
+/**
+ * "PKCS1" (RFC5915) Formatted EC Key Handler
+ *
+ * @package EC
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PKCS1 extends Progenitor
+{
+    use Common;
+
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        self::initialize_static_variables();
+
+        if (!Strings::is_stringable($key)) {
+            throw new \UnexpectedValueException('Key should be a string - not a ' . gettype($key));
+        }
+
+        if (strpos($key, 'BEGIN EC PARAMETERS') && strpos($key, 'BEGIN EC PRIVATE KEY')) {
+            $components = [];
+
+            preg_match('#-*BEGIN EC PRIVATE KEY-*[^-]*-*END EC PRIVATE KEY-*#s', $key, $matches);
+            $decoded = parent::load($matches[0], $password);
+            $decoded = ASN1::decodeBER($decoded);
+            if (empty($decoded)) {
+                throw new \RuntimeException('Unable to decode BER');
+            }
+
+            $ecPrivate = ASN1::asn1map($decoded[0], Maps\ECPrivateKey::MAP);
+            if (!is_array($ecPrivate)) {
+                throw new \RuntimeException('Unable to perform ASN1 mapping');
+            }
+
+            if (isset($ecPrivate['parameters'])) {
+                $components['curve'] = self::loadCurveByParam($ecPrivate['parameters']);
+            }
+
+            preg_match('#-*BEGIN EC PARAMETERS-*[^-]*-*END EC PARAMETERS-*#s', $key, $matches);
+            $decoded = parent::load($matches[0], '');
+            $decoded = ASN1::decodeBER($decoded);
+            if (empty($decoded)) {
+                throw new \RuntimeException('Unable to decode BER');
+            }
+            $ecParams = ASN1::asn1map($decoded[0], Maps\ECParameters::MAP);
+            if (!is_array($ecParams)) {
+                throw new \RuntimeException('Unable to perform ASN1 mapping');
+            }
+            $ecParams = self::loadCurveByParam($ecParams);
+
+            // comparing $ecParams and $components['curve'] directly won't work because they'll have different Math\Common\FiniteField classes
+            // even if the modulo is the same
+            if (isset($components['curve']) && self::encodeParameters($ecParams, false, []) != self::encodeParameters($components['curve'], false, [])) {
+                throw new \RuntimeException('EC PARAMETERS does not correspond to EC PRIVATE KEY');
+            }
+
+            if (!isset($components['curve'])) {
+                $components['curve'] = $ecParams;
+            }
+
+            $temp = new BigInteger($ecPrivate['privateKey'], 256);
+            $components['dA'] = $components['curve']->convertInteger($temp);
+            $components['QA'] = isset($ecPrivate['publicKey']) ?
+                self::extractPoint($ecPrivate['publicKey'], $components['curve']) :
+                $components['curve']->multiplyPoint($components['curve']->getBasePoint(), $components['dA']);
+
+            return $components;
+        }
+
+        $key = parent::load($key, $password);
+
+        $decoded = ASN1::decodeBER($key);
+        if (empty($decoded)) {
+            throw new \RuntimeException('Unable to decode BER');
+        }
+
+        $key = ASN1::asn1map($decoded[0], Maps\ECParameters::MAP);
+        if (is_array($key)) {
+            return ['curve' => self::loadCurveByParam($key)];
+        }
+
+        $key = ASN1::asn1map($decoded[0], Maps\ECPrivateKey::MAP);
+        if (!is_array($key)) {
+            throw new \RuntimeException('Unable to perform ASN1 mapping');
+        }
+        if (!isset($key['parameters'])) {
+            throw new \RuntimeException('Key cannot be loaded without parameters');
+        }
+
+        $components = [];
+        $components['curve'] = self::loadCurveByParam($key['parameters']);
+        $temp = new BigInteger($key['privateKey'], 256);
+        $components['dA'] = $components['curve']->convertInteger($temp);
+        $components['QA'] = isset($ecPrivate['publicKey']) ?
+            self::extractPoint($ecPrivate['publicKey'], $components['curve']) :
+            $components['curve']->multiplyPoint($components['curve']->getBasePoint(), $components['dA']);
+
+        return $components;
+    }
+
+    /**
+     * Convert EC parameters to the appropriate format
+     *
+     * @access public
+     * @return string
+     */
+    public static function saveParameters(BaseCurve $curve, array $options = [])
+    {
+        self::initialize_static_variables();
+
+        if ($curve instanceof TwistedEdwardsCurve || $curve instanceof MontgomeryCurve) {
+            throw new UnsupportedCurveException('TwistedEdwards and Montgomery Curves are not supported');
+        }
+
+        $key = self::encodeParameters($curve, false, $options);
+
+        return "-----BEGIN EC PARAMETERS-----\r\n" .
+               chunk_split(Base64::encode($key), 64) .
+               "-----END EC PARAMETERS-----\r\n";
+    }
+
+    /**
+     * Convert a private key to the appropriate format.
+     *
+     * @access public
+     * @param \phpseclib3\Math\Common\FiniteField\Integer $privateKey
+     * @param \phpseclib3\Crypt\EC\BaseCurves\Base $curve
+     * @param \phpseclib3\Math\Common\FiniteField\Integer[] $publicKey
+     * @param string $password optional
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePrivateKey(Integer $privateKey, BaseCurve $curve, array $publicKey, $password = '', array $options = [])
+    {
+        self::initialize_static_variables();
+
+        if ($curve instanceof TwistedEdwardsCurve  || $curve instanceof MontgomeryCurve) {
+            throw new UnsupportedCurveException('TwistedEdwards Curves are not supported');
+        }
+
+        $publicKey = "\4" . $publicKey[0]->toBytes() . $publicKey[1]->toBytes();
+
+        $key = [
+            'version' => 'ecPrivkeyVer1',
+            'privateKey' => $privateKey->toBytes(),
+            'parameters' => new ASN1\Element(self::encodeParameters($curve)),
+            'publicKey' => "\0" . $publicKey
+        ];
+
+        $key = ASN1::encodeDER($key, Maps\ECPrivateKey::MAP);
+
+        return self::wrapPrivateKey($key, 'EC', $password, $options);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/PKCS8.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/PKCS8.php
new file mode 100644
index 000000000..247beedb2
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/PKCS8.php
@@ -0,0 +1,249 @@
+<?php
+
+/**
+ * PKCS#8 Formatted EC Key Handler
+ *
+ * PHP version 5
+ *
+ * Processes keys with the following headers:
+ *
+ * -----BEGIN ENCRYPTED PRIVATE KEY-----
+ * -----BEGIN PRIVATE KEY-----
+ * -----BEGIN PUBLIC KEY-----
+ *
+ * Analogous to ssh-keygen's pkcs8 format (as specified by -m). Although PKCS8
+ * is specific to private keys it's basically creating a DER-encoded wrapper
+ * for keys. This just extends that same concept to public keys (much like ssh-keygen)
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\EC\Formats\Keys;
+
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Crypt\Common\Formats\Keys\PKCS8 as Progenitor;
+use phpseclib3\File\ASN1;
+use phpseclib3\File\ASN1\Maps;
+use phpseclib3\Crypt\EC\BaseCurves\Base as BaseCurve;
+use phpseclib3\Crypt\EC\BaseCurves\TwistedEdwards as TwistedEdwardsCurve;
+use phpseclib3\Crypt\EC\BaseCurves\Montgomery as MontgomeryCurve;
+use phpseclib3\Math\Common\FiniteField\Integer;
+use phpseclib3\Crypt\EC\Curves\Ed25519;
+use phpseclib3\Crypt\EC\Curves\Ed448;
+use phpseclib3\Exception\UnsupportedCurveException;
+use phpseclib3\Common\Functions\Strings;
+
+/**
+ * PKCS#8 Formatted EC Key Handler
+ *
+ * @package EC
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PKCS8 extends Progenitor
+{
+    use Common;
+
+    /**
+     * OID Name
+     *
+     * @var array
+     * @access private
+     */
+    const OID_NAME = ['id-ecPublicKey', 'id-Ed25519', 'id-Ed448'];
+
+    /**
+     * OID Value
+     *
+     * @var string
+     * @access private
+     */
+    const OID_VALUE = ['1.2.840.10045.2.1', '1.3.101.112', '1.3.101.113'];
+
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        // initialize_static_variables() is defined in both the trait and the parent class
+        // when it's defined in two places it's the traits one that's called
+        // the parent one is needed, as well, but the parent one is called by other methods
+        // in the parent class as needed and in the context of the parent it's the parent
+        // one that's called
+        self::initialize_static_variables();
+
+        if (!Strings::is_stringable($key)) {
+            throw new \UnexpectedValueException('Key should be a string - not a ' . gettype($key));
+        }
+
+        $isPublic = strpos($key, 'PUBLIC') !== false;
+
+        $key = parent::load($key, $password);
+
+        $type = isset($key['privateKey']) ? 'privateKey' : 'publicKey';
+
+        switch (true) {
+            case !$isPublic && $type == 'publicKey':
+                throw new \UnexpectedValueException('Human readable string claims non-public key but DER encoded string claims public key');
+            case $isPublic && $type == 'privateKey':
+                throw new \UnexpectedValueException('Human readable string claims public key but DER encoded string claims private key');
+        }
+
+        switch ($key[$type . 'Algorithm']['algorithm']) {
+            case 'id-Ed25519':
+            case 'id-Ed448':
+                return self::loadEdDSA($key);
+        }
+
+        $decoded = ASN1::decodeBER($key[$type . 'Algorithm']['parameters']->element);
+        $params = ASN1::asn1map($decoded[0], Maps\ECParameters::MAP);
+        if (!$params) {
+            throw new \RuntimeException('Unable to decode the parameters using Maps\ECParameters');
+        }
+
+        $components = [];
+        $components['curve'] = self::loadCurveByParam($params);
+
+        if ($isPublic) {
+            $components['QA'] = self::extractPoint("\0" . $key['publicKey'], $components['curve']);
+
+            return $components;
+        }
+
+        $decoded = ASN1::decodeBER($key['privateKey']);
+        $key = ASN1::asn1map($decoded[0], Maps\ECPrivateKey::MAP);
+        if (isset($key['parameters']) && $params != $key['parameters']) {
+            throw new \RuntimeException('The PKCS8 parameter field does not match the private key parameter field');
+        }
+
+        $temp = new BigInteger($key['privateKey'], 256);
+        $components['dA'] = $components['curve']->convertInteger($temp);
+
+        $components['QA'] = self::extractPoint($key['publicKey'], $components['curve']);
+
+        return $components;
+    }
+
+    /**
+     * Break a public or private EdDSA key down into its constituent components
+     *
+     * @return array
+     */
+    private static function loadEdDSA(array $key)
+    {
+        $components = [];
+
+        if (isset($key['privateKey'])) {
+            $components['curve'] = $key['privateKeyAlgorithm']['algorithm'] == 'id-Ed25519' ? new Ed25519() : new Ed448();
+
+            // 0x04 == octet string
+            // 0x20 == length (32 bytes)
+            if (substr($key['privateKey'], 0, 2) != "\x04\x20") {
+                throw new \RuntimeException('The first two bytes of the private key field should be 0x0420');
+            }
+            $components['dA'] = $components['curve']->extractSecret(substr($key['privateKey'], 2));
+        }
+
+        if (isset($key['publicKey'])) {
+            if (!isset($components['curve'])) {
+                $components['curve'] = $key['publicKeyAlgorithm']['algorithm'] == 'id-Ed25519' ? new Ed25519() : new Ed448();
+            }
+
+            $components['QA'] = self::extractPoint($key['publicKey'], $components['curve']);
+        }
+
+        if (isset($key['privateKey']) && !isset($components['QA'])) {
+            $components['QA'] = $components['curve']->multiplyPoint($components['curve']->getBasePoint(), $components['dA']);
+        }
+
+        return $components;
+    }
+
+    /**
+     * Convert an EC public key to the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Crypt\EC\BaseCurves\Base $curve
+     * @param \phpseclib3\Math\Common\FiniteField\Integer[] $publicKey
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePublicKey(BaseCurve $curve, array $publicKey, array $options = [])
+    {
+        self::initialize_static_variables();
+
+        if ($curve instanceof MontgomeryCurve) {
+            throw new UnsupportedCurveException('Montgomery Curves are not supported');
+        }
+
+        if ($curve instanceof TwistedEdwardsCurve) {
+            return self::wrapPublicKey(
+                $curve->encodePoint($publicKey),
+                null,
+                $curve instanceof Ed25519 ? 'id-Ed25519' : 'id-Ed448'
+            );
+        }
+
+        $params = new ASN1\Element(self::encodeParameters($curve, false, $options));
+
+        $key = "\4" . $publicKey[0]->toBytes() . $publicKey[1]->toBytes();
+
+        return self::wrapPublicKey($key, $params, 'id-ecPublicKey');
+    }
+
+    /**
+     * Convert a private key to the appropriate format.
+     *
+     * @access public
+     * @param \phpseclib3\Math\Common\FiniteField\Integer $privateKey
+     * @param \phpseclib3\Crypt\EC\BaseCurves\Base $curve
+     * @param \phpseclib3\Math\Common\FiniteField\Integer[] $publicKey
+     * @param string $password optional
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePrivateKey(Integer $privateKey, BaseCurve $curve, array $publicKey, $password = '', array $options = [])
+    {
+        self::initialize_static_variables();
+
+        if ($curve instanceof MontgomeryCurve) {
+            throw new UnsupportedCurveException('Montgomery Curves are not supported');
+        }
+
+        if ($curve instanceof TwistedEdwardsCurve) {
+            return self::wrapPrivateKey(
+                "\x04\x20" . $privateKey->secret,
+                [],
+                null,
+                $password,
+                $curve instanceof Ed25519 ? 'id-Ed25519' : 'id-Ed448',
+                "\0" . $curve->encodePoint($publicKey)
+            );
+        }
+
+        $publicKey = "\4" . $publicKey[0]->toBytes() . $publicKey[1]->toBytes();
+
+        $params = new ASN1\Element(self::encodeParameters($curve, false, $options));
+
+        $key = [
+            'version' => 'ecPrivkeyVer1',
+            'privateKey' => $privateKey->toBytes(),
+            //'parameters' => $params,
+            'publicKey' => "\0" . $publicKey
+        ];
+
+        $key = ASN1::encodeDER($key, Maps\ECPrivateKey::MAP);
+
+        return self::wrapPrivateKey($key, [], $params, $password, 'id-ecPublicKey', '', $options);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/PuTTY.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/PuTTY.php
new file mode 100644
index 000000000..181ab76c9
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/PuTTY.php
@@ -0,0 +1,146 @@
+<?php
+
+/**
+ * PuTTY Formatted EC Key Handler
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\EC\Formats\Keys;
+
+use ParagonIE\ConstantTime\Base64;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Crypt\Common\Formats\Keys\PuTTY as Progenitor;
+use phpseclib3\Crypt\EC\BaseCurves\Base as BaseCurve;
+use phpseclib3\Math\Common\FiniteField\Integer;
+use phpseclib3\Crypt\EC\BaseCurves\TwistedEdwards as TwistedEdwardsCurve;
+
+/**
+ * PuTTY Formatted EC Key Handler
+ *
+ * @package EC
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PuTTY extends Progenitor
+{
+    use Common;
+
+    /**
+     * Public Handler
+     *
+     * @var string
+     * @access private
+     */
+    const PUBLIC_HANDLER = 'phpseclib3\Crypt\EC\Formats\Keys\OpenSSH';
+
+    /**
+     * Supported Key Types
+     *
+     * @var array
+     * @access private
+     */
+    protected static $types = [
+        'ecdsa-sha2-nistp256',
+        'ecdsa-sha2-nistp384',
+        'ecdsa-sha2-nistp521',
+        'ssh-ed25519'
+    ];
+
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        $components = parent::load($key, $password);
+        if (!isset($components['private'])) {
+            return $components;
+        }
+
+        $private = $components['private'];
+
+        $temp = Base64::encode(Strings::packSSH2('s', $components['type']) . $components['public']);
+        $components = OpenSSH::load($components['type'] . ' ' . $temp . ' ' . $components['comment']);
+
+        if ($components['curve'] instanceof TwistedEdwardsCurve) {
+            if (Strings::shift($private, 4) != "\0\0\0\x20") {
+                throw new \RuntimeException('Length of ssh-ed25519 key should be 32');
+            }
+            $components['dA'] = $components['curve']->extractSecret($private);
+        } else {
+            list($temp) = Strings::unpackSSH2('i', $private);
+            $components['dA'] = $components['curve']->convertInteger($temp);
+        }
+
+        return $components;
+    }
+
+    /**
+     * Convert a private key to the appropriate format.
+     *
+     * @access public
+     * @param \phpseclib3\Math\Common\FiniteField\Integer $privateKey
+     * @param \phpseclib3\Crypt\EC\BaseCurves\Base $curve
+     * @param \phpseclib3\Math\Common\FiniteField\Integer[] $publicKey
+     * @param string $password optional
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePrivateKey(Integer $privateKey, BaseCurve $curve, array $publicKey, $password = false, array $options = [])
+    {
+        self::initialize_static_variables();
+
+        $public = explode(' ', OpenSSH::savePublicKey($curve, $publicKey));
+        $name = $public[0];
+        $public = Base64::decode($public[1]);
+        list(, $length) = unpack('N', Strings::shift($public, 4));
+        Strings::shift($public, $length);
+
+        // PuTTY pads private keys with a null byte per the following:
+        // https://github.com/github/putty/blob/a3d14d77f566a41fc61dfdc5c2e0e384c9e6ae8b/sshecc.c#L1926
+        if (!$curve instanceof TwistedEdwardsCurve) {
+            $private = $privateKey->toBytes();
+            if (!(strlen($privateKey->toBits()) & 7)) {
+                $private ="\0$private";
+            }
+        }
+
+        $private = $curve instanceof TwistedEdwardsCurve ?
+            Strings::packSSH2('s', $privateKey->secret) :
+            Strings::packSSH2('s', $private);
+
+        return self::wrapPrivateKey($public, $private, $name, $password, $options);
+    }
+
+    /**
+     * Convert an EC public key to the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Crypt\EC\BaseCurves\Base $curve
+     * @param \phpseclib3\Math\Common\FiniteField[] $publicKey
+     * @return string
+     */
+    public static function savePublicKey(BaseCurve $curve, array $publicKey)
+    {
+        $public = explode(' ', OpenSSH::savePublicKey($curve, $publicKey));
+        $type = $public[0];
+        $public = Base64::decode($public[1]);
+        list(, $length) = unpack('N', Strings::shift($public, 4));
+        Strings::shift($public, $length);
+
+        return self::wrapPublicKey($public, $type);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/XML.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/XML.php
new file mode 100644
index 000000000..d6d8018ad
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/XML.php
@@ -0,0 +1,484 @@
+<?php
+
+/**
+ * XML Formatted EC Key Handler
+ *
+ * More info:
+ *
+ * https://www.w3.org/TR/xmldsig-core/#sec-ECKeyValue
+ * http://en.wikipedia.org/wiki/XML_Signature
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\EC\Formats\Keys;
+
+use ParagonIE\ConstantTime\Base64;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Crypt\EC\BaseCurves\Base as BaseCurve;
+use phpseclib3\Crypt\EC\BaseCurves\Prime as PrimeCurve;
+use phpseclib3\Crypt\EC\BaseCurves\TwistedEdwards as TwistedEdwardsCurve;
+use phpseclib3\Crypt\EC\BaseCurves\Montgomery as MontgomeryCurve;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Exception\UnsupportedCurveException;
+
+/**
+ * XML Formatted EC Key Handler
+ *
+ * @package EC
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class XML
+{
+    use Common;
+
+    /**
+     * Default namespace
+     *
+     * @var string
+     */
+    private static $namespace;
+
+    /**
+     * Flag for using RFC4050 syntax
+     *
+     * @var bool
+     */
+    private static $rfc4050 = false;
+
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        self::initialize_static_variables();
+
+        if (!Strings::is_stringable($key)) {
+            throw new \UnexpectedValueException('Key should be a string - not a ' . gettype($key));
+        }
+
+        $use_errors = libxml_use_internal_errors(true);
+
+        $temp = self::isolateNamespace($key, 'http://www.w3.org/2009/xmldsig11#');
+        if ($temp) {
+            $key = $temp;
+        }
+
+        $temp = self::isolateNamespace($key, 'http://www.w3.org/2001/04/xmldsig-more#');
+        if ($temp) {
+            $key = $temp;
+        }
+
+        $dom = new \DOMDocument();
+        if (substr($key, 0, 5) != '<?xml') {
+            $key = '<xml>' . $key . '</xml>';
+        }
+
+        if (!$dom->loadXML($key)) {
+            libxml_use_internal_errors($use_errors);
+            throw new \UnexpectedValueException('Key does not appear to contain XML');
+        }
+        $xpath = new \DOMXPath($dom);
+        libxml_use_internal_errors($use_errors);
+        $curve = self::loadCurveByParam($xpath);
+
+        $pubkey = self::query($xpath, 'publickey', 'Public Key is not present');
+
+        $QA = self::query($xpath, 'ecdsakeyvalue')->length ?
+            self::extractPointRFC4050($xpath, $curve) :
+            self::extractPoint("\0" . $pubkey, $curve);
+
+        libxml_use_internal_errors($use_errors);
+
+        return compact('curve', 'QA');
+    }
+
+    /**
+     * Case-insensitive xpath query
+     *
+     * @param \DOMXPath $xpath
+     * @param string $name
+     * @param string $error optional
+     * @param bool $decode optional
+     * @return \DOMNodeList
+     */
+    private static function query($xpath, $name, $error = null, $decode = true)
+    {
+        $query = '/';
+        $names = explode('/', $name);
+        foreach ($names as $name) {
+            $query.= "/*[translate(local-name(), 'ABCDEFGHIJKLMNOPQRSTUVWXYZ','abcdefghijklmnopqrstuvwxyz')='$name']";
+        }
+        $result = $xpath->query($query);
+        if (!isset($error)) {
+            return $result;
+        }
+
+        if (!$result->length) {
+            throw new \RuntimeException($error);
+        }
+        return $decode ? self::decodeValue($result->item(0)->textContent) : $result->item(0)->textContent;
+    }
+
+    /**
+     * Finds the first element in the relevant namespace, strips the namespacing and returns the XML for that element.
+     *
+     * @param string $xml
+     * @param string $ns
+     */
+    private static function isolateNamespace($xml, $ns)
+    {
+        $dom = new \DOMDocument();
+        if (!$dom->loadXML($xml)) {
+            return false;
+        }
+        $xpath = new \DOMXPath($dom);
+        $nodes = $xpath->query("//*[namespace::*[.='$ns'] and not(../namespace::*[.='$ns'])]");
+        if (!$nodes->length) {
+            return false;
+        }
+        $node = $nodes->item(0);
+        $ns_name = $node->lookupPrefix($ns);
+        $node->removeAttributeNS($ns, $ns_name);
+        return $dom->saveXML($node);
+    }
+
+    /**
+     * Decodes the value
+     *
+     * @param string $value
+     */
+    private static function decodeValue($value)
+    {
+        return Base64::decode(str_replace(["\r", "\n", ' ', "\t"], '', $value));
+    }
+
+    /**
+     * Extract points from an XML document
+     *
+     * @param \DOMXPath $xpath
+     * @param \phpseclib3\Crypt\EC\BaseCurves\Base $curve
+     * @return object[]
+     */
+    private static function extractPointRFC4050(\DOMXPath $xpath, BaseCurve $curve)
+    {
+        $x = self::query($xpath, 'publickey/x');
+        $y = self::query($xpath, 'publickey/y');
+        if (!$x->length || !$x->item(0)->hasAttribute('Value')) {
+            throw new \RuntimeException('Public Key / X coordinate not found');
+        }
+        if (!$y->length || !$y->item(0)->hasAttribute('Value')) {
+            throw new \RuntimeException('Public Key / Y coordinate not found');
+        }
+        $point = [
+            $curve->convertInteger(new BigInteger($x->item(0)->getAttribute('Value'))),
+            $curve->convertInteger(new BigInteger($y->item(0)->getAttribute('Value')))
+        ];
+        if (!$curve->verifyPoint($point)) {
+            throw new \RuntimeException('Unable to verify that point exists on curve');
+        }
+        return $point;
+    }
+
+    /**
+     * Returns an instance of \phpseclib3\Crypt\EC\BaseCurves\Base based
+     * on the curve parameters
+     *
+     * @param \DomXPath $xpath
+     * @return \phpseclib3\Crypt\EC\BaseCurves\Base|false
+     */
+    private static function loadCurveByParam(\DOMXPath $xpath)
+    {
+        $namedCurve = self::query($xpath, 'namedcurve');
+        if ($namedCurve->length == 1) {
+            $oid = $namedCurve->item(0)->getAttribute('URN');
+            $oid = preg_replace('#[^\d.]#', '', $oid);
+            $name = array_search($oid, self::$curveOIDs);
+            if ($name === false) {
+                throw new UnsupportedCurveException('Curve with OID of ' . $oid . ' is not supported');
+            }
+
+            $curve = '\phpseclib3\Crypt\EC\Curves\\' . $name;
+            if (!class_exists($curve)) {
+                throw new UnsupportedCurveException('Named Curve of ' . $name . ' is not supported');
+            }
+            return new $curve();
+        }
+
+        $params = self::query($xpath, 'explicitparams');
+        if ($params->length) {
+            return self::loadCurveByParamRFC4050($xpath);
+        }
+
+        $params = self::query($xpath, 'ecparameters');
+        if (!$params->length) {
+            throw new \RuntimeException('No parameters are present');
+        }
+
+        $fieldTypes = [
+            'prime-field' => ['fieldid/prime/p'],
+            'gnb' => ['fieldid/gnb/m'],
+            'tnb' => ['fieldid/tnb/k'],
+            'pnb' => ['fieldid/pnb/k1', 'fieldid/pnb/k2', 'fieldid/pnb/k3'],
+            'unknown' => []
+        ];
+
+        foreach ($fieldTypes as $type => $queries) {
+            foreach ($queries as $query) {
+                $result = self::query($xpath, $query);
+                if (!$result->length) {
+                    continue 2;
+                }
+                $param = preg_replace('#.*/#', '', $query);
+                $$param = self::decodeValue($result->item(0)->textContent);
+            }
+            break;
+        }
+
+        $a = self::query($xpath, 'curve/a', 'A coefficient is not present');
+        $b = self::query($xpath, 'curve/b', 'B coefficient is not present');
+        $base = self::query($xpath, 'base', 'Base point is not present');
+        $order = self::query($xpath, 'order', 'Order is not present');
+
+        switch ($type) {
+            case 'prime-field':
+                $curve = new PrimeCurve();
+                $curve->setModulo(new BigInteger($p, 256));
+                $curve->setCoefficients(
+                    new BigInteger($a, 256),
+                    new BigInteger($b, 256)
+                );
+                $point = self::extractPoint("\0" . $base, $curve);
+                $curve->setBasePoint(...$point);
+                $curve->setOrder(new BigInteger($order, 256));
+                return $curve;
+            case 'gnb':
+            case 'tnb':
+            case 'pnb':
+            default:
+                throw new UnsupportedCurveException('Field Type of ' . $type . ' is not supported');
+        }
+    }
+
+    /**
+     * Returns an instance of \phpseclib3\Crypt\EC\BaseCurves\Base based
+     * on the curve parameters
+     *
+     * @param \DomXPath $xpath
+     * @return \phpseclib3\Crypt\EC\BaseCurves\Base|false
+     */
+    private static function loadCurveByParamRFC4050(\DOMXPath $xpath)
+    {
+        $fieldTypes = [
+            'prime-field' => ['primefieldparamstype/p'],
+            'unknown' => []
+        ];
+
+        foreach ($fieldTypes as $type => $queries) {
+            foreach ($queries as $query) {
+                $result = self::query($xpath, $query);
+                if (!$result->length) {
+                    continue 2;
+                }
+                $param = preg_replace('#.*/#', '', $query);
+                $$param = $result->item(0)->textContent;
+            }
+            break;
+        }
+
+        $a = self::query($xpath, 'curveparamstype/a', 'A coefficient is not present', false);
+        $b = self::query($xpath, 'curveparamstype/b', 'B coefficient is not present', false);
+        $x = self::query($xpath, 'basepointparams/basepoint/ecpointtype/x', 'Base Point X is not present', false);
+        $y = self::query($xpath, 'basepointparams/basepoint/ecpointtype/y', 'Base Point Y is not present', false);
+        $order = self::query($xpath, 'order', 'Order is not present', false);
+
+        switch ($type) {
+            case 'prime-field':
+                $curve = new PrimeCurve();
+
+                $p = str_replace(["\r", "\n", ' ', "\t"], '', $p);
+                $curve->setModulo(new BigInteger($p));
+
+                $a = str_replace(["\r", "\n", ' ', "\t"], '', $a);
+                $b = str_replace(["\r", "\n", ' ', "\t"], '', $b);
+                $curve->setCoefficients(
+                    new BigInteger($a),
+                    new BigInteger($b)
+                );
+
+                $x = str_replace(["\r", "\n", ' ', "\t"], '', $x);
+                $y = str_replace(["\r", "\n", ' ', "\t"], '', $y);
+                $curve->setBasePoint(
+                    new BigInteger($x),
+                    new BigInteger($y)
+                );
+
+                $order = str_replace(["\r", "\n", ' ', "\t"], '', $order);
+                $curve->setOrder(new BigInteger($order));
+                return $curve;
+            default:
+                throw new UnsupportedCurveException('Field Type of ' . $type . ' is not supported');
+        }
+    }
+
+    /**
+     * Sets the namespace. dsig11 is the most common one.
+     *
+     * Set to null to unset. Used only for creating public keys.
+     *
+     * @param string $namespace
+     */
+    public static function setNamespace($namespace)
+    {
+        self::$namespace = $namespace;
+    }
+
+    /**
+     * Uses the XML syntax specified in https://tools.ietf.org/html/rfc4050
+     */
+    public static function enableRFC4050Syntax()
+    {
+        self::$rfc4050 = true;
+    }
+
+    /**
+     * Uses the XML syntax specified in https://www.w3.org/TR/xmldsig-core/#sec-ECParameters
+     */
+    public static function disableRFC4050Syntax()
+    {
+        self::$rfc4050 = false;
+    }
+
+    /**
+     * Convert a public key to the appropriate format
+     *
+     * @param \phpseclib3\Crypt\EC\BaseCurves\Base $curve
+     * @param \phpseclib3\Math\Common\FiniteField\Integer[] $publicKey
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePublicKey(BaseCurve $curve, array $publicKey, array $options = [])
+    {
+        self::initialize_static_variables();
+
+        if ($curve instanceof TwistedEdwardsCurve || $curve instanceof MontgomeryCurve) {
+            throw new UnsupportedCurveException('TwistedEdwards and Montgomery Curves are not supported');
+        }
+
+        if (empty(static::$namespace)) {
+            $pre = $post = '';
+        } else {
+            $pre = static::$namespace . ':';
+            $post = ':' . static::$namespace;
+        }
+
+        if (self::$rfc4050) {
+            return '<' . $pre . 'ECDSAKeyValue xmlns' . $post . '="http://www.w3.org/2001/04/xmldsig-more#">' . "\r\n" .
+                   self::encodeXMLParameters($curve, $pre, $options) . "\r\n" .
+                   '<' . $pre . 'PublicKey>' . "\r\n" .
+                   '<' . $pre . 'X Value="' . $publicKey[0] . '" />' . "\r\n" .
+                   '<' . $pre . 'Y Value="' . $publicKey[1] . '" />' . "\r\n" .
+                   '</' . $pre . 'PublicKey>' . "\r\n" .
+                   '</' . $pre . 'ECDSAKeyValue>';
+        }
+
+        $publicKey = "\4" . $publicKey[0]->toBytes() . $publicKey[1]->toBytes();
+
+        return '<' . $pre . 'ECDSAKeyValue xmlns' . $post . '="http://www.w3.org/2009/xmldsig11#">' . "\r\n" .
+               self::encodeXMLParameters($curve, $pre, $options) . "\r\n" .
+               '<' . $pre . 'PublicKey>' . Base64::encode($publicKey) . '</' . $pre . 'PublicKey>' . "\r\n" .
+               '</' . $pre . 'ECDSAKeyValue>';
+    }
+
+    /**
+     * Encode Parameters
+     *
+     * @param \phpseclib3\Crypt\EC\BaseCurves\Base $curve
+     * @param string $pre
+     * @param array $options optional
+     * @return string|false
+     */
+    private static function encodeXMLParameters(BaseCurve $curve, $pre, array $options = [])
+    {
+        $result = self::encodeParameters($curve, true, $options);
+
+        if (isset($result['namedCurve'])) {
+            $namedCurve = '<' . $pre . 'NamedCurve URI="urn:oid:' . self::$curveOIDs[$result['namedCurve']] . '" />';
+            return self::$rfc4050 ?
+                '<DomainParameters>' . str_replace('URI', 'URN', $namedCurve) . '</DomainParameters>' :
+                $namedCurve;
+        }
+
+        if (self::$rfc4050) {
+            $xml = '<' . $pre . 'ExplicitParams>' . "\r\n" .
+                  '<' . $pre . 'FieldParams>' . "\r\n";
+            $temp = $result['specifiedCurve'];
+            switch ($temp['fieldID']['fieldType']) {
+                case 'prime-field':
+                    $xml.= '<' . $pre . 'PrimeFieldParamsType>' . "\r\n" .
+                           '<' . $pre . 'P>' . $temp['fieldID']['parameters'] . '</' . $pre . 'P>' . "\r\n" .
+                           '</' . $pre . 'PrimeFieldParamsType>' . "\r\n";
+                    $a = $curve->getA();
+                    $b = $curve->getB();
+                    list($x, $y) = $curve->getBasePoint();
+                    break;
+                default:
+                    throw new UnsupportedCurveException('Field Type of ' . $temp['fieldID']['fieldType'] . ' is not supported');
+            }
+            $xml.= '</' . $pre . 'FieldParams>' . "\r\n" .
+                   '<' . $pre . 'CurveParamsType>' . "\r\n" .
+                   '<' . $pre . 'A>' . $a . '</' . $pre . 'A>' . "\r\n" .
+                   '<' . $pre . 'B>' . $b . '</' . $pre . 'B>' . "\r\n" .
+                   '</' . $pre . 'CurveParamsType>' . "\r\n" .
+                   '<' . $pre . 'BasePointParams>' . "\r\n" .
+                   '<' . $pre . 'BasePoint>' . "\r\n" .
+                   '<' . $pre . 'ECPointType>' . "\r\n" .
+                   '<' . $pre . 'X>' . $x . '</' . $pre . 'X>' . "\r\n" .
+                   '<' . $pre . 'Y>' . $y . '</' . $pre . 'Y>' . "\r\n" .
+                   '</' . $pre . 'ECPointType>' . "\r\n" .
+                   '</' . $pre . 'BasePoint>' . "\r\n" .
+                   '<' . $pre . 'Order>' . $curve->getOrder() . '</' . $pre . 'Order>' . "\r\n" .
+                   '</' . $pre . 'BasePointParams>' . "\r\n" .
+                   '</' . $pre . 'ExplicitParams>' . "\r\n";
+
+            return $xml;
+        }
+
+        if (isset($result['specifiedCurve'])) {
+            $xml = '<' . $pre . 'ECParameters>' . "\r\n" .
+                   '<' . $pre . 'FieldID>' . "\r\n";
+            $temp = $result['specifiedCurve'];
+            switch ($temp['fieldID']['fieldType']) {
+                case 'prime-field':
+                    $xml.= '<' . $pre . 'Prime>' . "\r\n" .
+                           '<' . $pre . 'P>' . Base64::encode($temp['fieldID']['parameters']->toBytes()) . '</' . $pre . 'P>' . "\r\n" .
+                           '</' . $pre . 'Prime>' . "\r\n" ;
+                    break;
+                default:
+                    throw new UnsupportedCurveException('Field Type of ' . $temp['fieldID']['fieldType'] . ' is not supported');
+            }
+            $xml.= '</' . $pre . 'FieldID>' . "\r\n" .
+                   '<' . $pre . 'Curve>' . "\r\n" .
+                   '<' . $pre . 'A>' . Base64::encode($temp['curve']['a']) . '</' . $pre . 'A>' . "\r\n" .
+                   '<' . $pre . 'B>' . Base64::encode($temp['curve']['b']) . '</' . $pre . 'B>' . "\r\n" .
+                   '</' . $pre . 'Curve>' . "\r\n" .
+                   '<' . $pre . 'Base>' . Base64::encode($temp['base']) . '</' . $pre . 'Base>' . "\r\n" .
+                   '<' . $pre . 'Order>' . Base64::encode($temp['order']) . '</' . $pre . 'Order>' . "\r\n" .
+                   '</' . $pre . 'ECParameters>';
+            return $xml;
+        }
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/libsodium.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/libsodium.php
new file mode 100644
index 000000000..b8be19444
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/libsodium.php
@@ -0,0 +1,122 @@
+<?php
+
+/**
+ * libsodium Key Handler
+ *
+ * Different NaCl implementations store the key differently.
+ * https://blog.mozilla.org/warner/2011/11/29/ed25519-keys/ elaborates.
+ * libsodium appears to use the same format as SUPERCOP.
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\EC\Formats\Keys;
+
+use phpseclib3\Crypt\EC\Curves\Ed25519;
+use phpseclib3\Math\Common\FiniteField\Integer;
+use phpseclib3\Exception\UnsupportedFormatException;
+
+/**
+ * libsodium Key Handler
+ *
+ * @package EC
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class libsodium
+{
+    use Common;
+
+    /**
+     * Is invisible flag
+     *
+     * @access private
+     */
+    const IS_INVISIBLE = true;
+
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        switch (strlen($key)) {
+            case 32:
+                $public = $key;
+                break;
+            case 64:
+                $private = substr($key, 0, 32);
+                $public = substr($key, -32);
+                break;
+            case 96:
+                $public = substr($key, -32);
+                if (substr($key, 32, 32) != $public) {
+                    throw new \RuntimeException('Keys with 96 bytes should have the 2nd and 3rd set of 32 bytes match');
+                }
+                $private = substr($key, 0, 32);
+                break;
+            default:
+                throw new \RuntimeException('libsodium keys need to either be 32 bytes long, 64 bytes long or 96 bytes long');
+        }
+
+        $curve = new Ed25519();
+        $components = ['curve' => $curve];
+        if (isset($private)) {
+            $components['dA'] = $curve->extractSecret($private);
+        }
+        $components['QA'] = isset($public) ?
+            self::extractPoint($public, $curve) :
+            $curve->multiplyPoint($curve->getBasePoint(), $components['dA']);
+        
+
+        return $components;
+    }
+
+    /**
+     * Convert an EC public key to the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Crypt\EC\Curves\Ed25519 $curve
+     * @param \phpseclib3\Math\Common\FiniteField\Integer[] $publicKey
+     * @return string
+     */
+    public static function savePublicKey(Ed25519 $curve, array $publicKey)
+    {
+        return $curve->encodePoint($publicKey);
+    }
+
+    /**
+     * Convert a private key to the appropriate format.
+     *
+     * @access public
+     * @param \phpseclib3\Math\Common\FiniteField\Integer $privateKey
+     * @param \phpseclib3\Crypt\EC\Curves\Ed25519 $curve
+     * @param \phpseclib3\Math\Common\FiniteField\Integer[] $publicKey
+     * @param string $password optional
+     * @return string
+     */
+    public static function savePrivateKey(Integer $privateKey, Ed25519 $curve, array $publicKey, $password = '')
+    {
+        if (!isset($privateKey->secret)) {
+            throw new \RuntimeException('Private Key does not have a secret set');
+        }
+        if (strlen($privateKey->secret) != 32) {
+            throw new \RuntimeException('Private Key secret is not of the correct length');
+        }
+        if (!empty($password) && is_string($password)) {
+            throw new UnsupportedFormatException('libsodium private keys do not support encryption');
+        }
+        return $privateKey->secret . $curve->encodePoint($publicKey);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Signature/ASN1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Signature/ASN1.php
new file mode 100644
index 000000000..3509eb61e
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Signature/ASN1.php
@@ -0,0 +1,68 @@
+<?php
+
+/**
+ * ASN1 Signature Handler
+ *
+ * PHP version 5
+ *
+ * Handles signatures in the format described in
+ * https://tools.ietf.org/html/rfc3279#section-2.2.3
+ *
+ * @category  Crypt
+ * @package   Common
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\EC\Formats\Signature;
+
+use phpseclib3\Math\BigInteger;
+use phpseclib3\File\ASN1 as Encoder;
+use phpseclib3\File\ASN1\Maps\EcdsaSigValue;
+
+/**
+ * ASN1 Signature Handler
+ *
+ * @package Common
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class ASN1
+{
+    /**
+     * Loads a signature
+     *
+     * @access public
+     * @param string $sig
+     * @return array
+     */
+    public static function load($sig)
+    {
+        if (!is_string($sig)) {
+            return false;
+        }
+
+        $decoded = Encoder::decodeBER($sig);
+        if (empty($decoded)) {
+            return false;
+        }
+        $components = Encoder::asn1map($decoded[0], EcdsaSigValue::MAP);
+
+        return $components;
+    }
+
+    /**
+     * Returns a signature in the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $r
+     * @param \phpseclib3\Math\BigInteger $s
+     * @return string
+     */
+    public static function save(BigInteger $r, BigInteger $s)
+    {
+        return Encoder::encodeDER(compact('r', 's'), EcdsaSigValue::MAP);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Signature/Raw.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Signature/Raw.php
new file mode 100644
index 000000000..eebef46b2
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Signature/Raw.php
@@ -0,0 +1,29 @@
+<?php
+
+/**
+ * Raw EC Signature Handler
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   DSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\EC\Formats\Signature;
+
+use phpseclib3\Crypt\Common\Formats\Signature\Raw as Progenitor;
+
+/**
+ * Raw DSA Signature Handler
+ *
+ * @package EC
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Raw extends Progenitor
+{
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Signature/SSH2.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Signature/SSH2.php
new file mode 100644
index 000000000..261100dbe
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Signature/SSH2.php
@@ -0,0 +1,100 @@
+<?php
+
+/**
+ * SSH2 Signature Handler
+ *
+ * PHP version 5
+ *
+ * Handles signatures in the format used by SSH2
+ *
+ * @category  Crypt
+ * @package   Common
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\EC\Formats\Signature;
+
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Common\Functions\Strings;
+
+/**
+ * SSH2 Signature Handler
+ *
+ * @package Common
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class SSH2
+{
+    /**
+     * Loads a signature
+     *
+     * @access public
+     * @param string $sig
+     * @return mixed
+     */
+    public static function load($sig)
+    {
+        if (!is_string($sig)) {
+            return false;
+        }
+
+        $result = Strings::unpackSSH2('ss', $sig);
+        if ($result === false) {
+            return false;
+        }
+        list($type, $blob) = $result;
+        switch ($type) {
+            // see https://tools.ietf.org/html/rfc5656#section-3.1.2
+            case 'ecdsa-sha2-nistp256':
+            case 'ecdsa-sha2-nistp384':
+            case 'ecdsa-sha2-nistp521':
+                break;
+            default:
+                return false;
+        }
+
+        $result = Strings::unpackSSH2('ii', $blob);
+        if ($result === false) {
+            return false;
+        }
+
+        return [
+            'r' => $result[0],
+            's' => $result[1]
+        ];
+    }
+
+    /**
+     * Returns a signature in the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $r
+     * @param \phpseclib3\Math\BigInteger $s
+     * @param string $curve
+     * @return string
+     */
+    public static function save(BigInteger $r, BigInteger $s, $curve)
+    {
+        switch ($curve) {
+            case 'secp256r1':
+                $curve = 'nistp256';
+                break;
+            case 'secp384r1':
+                $curve = 'nistp384';
+                break;
+            case 'secp521r1':
+                $curve = 'nistp521';
+                break;
+            default:
+                return false;
+        }
+
+        $blob = Strings::packSSH2('ii', $r, $s);
+
+        return Strings::packSSH2('ss', 'ecdsa-sha2-' . $curve, $blob);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Parameters.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Parameters.php
new file mode 100644
index 000000000..96527c754
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Parameters.php
@@ -0,0 +1,40 @@
+<?php
+
+/**
+ * EC Parameters
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\EC;
+
+use phpseclib3\Crypt\EC;
+
+/**
+ * EC Parameters
+ *
+ * @package EC
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class Parameters extends EC
+{
+    /**
+     * Returns the parameters
+     *
+     * @param string $type
+     * @param array $options optional
+     * @return string
+     */
+    public function toString($type = 'PKCS1', array $options = [])
+    {
+        $type = self::validatePlugin('Keys', 'PKCS1', 'saveParameters');
+
+        return $type::saveParameters($this->curve, $options);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/PrivateKey.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/PrivateKey.php
new file mode 100644
index 000000000..4ffa5fdf5
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/PrivateKey.php
@@ -0,0 +1,258 @@
+<?php
+
+/**
+ * EC Private Key
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\EC;
+
+use phpseclib3\Crypt\EC;
+use phpseclib3\Crypt\EC\Formats\Signature\ASN1 as ASN1Signature;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Crypt\EC\BaseCurves\TwistedEdwards as TwistedEdwardsCurve;
+use phpseclib3\Crypt\EC\BaseCurves\Montgomery as MontgomeryCurve;
+use phpseclib3\Crypt\Hash;
+use phpseclib3\Crypt\EC\Curves\Ed25519;
+use phpseclib3\Crypt\EC\Curves\Curve25519;
+use phpseclib3\Crypt\EC\Formats\Keys\PKCS1;
+use phpseclib3\Crypt\Common;
+use phpseclib3\Exception\UnsupportedOperationException;
+use phpseclib3\Common\Functions\Strings;
+
+/**
+ * EC Private Key
+ *
+ * @package EC
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class PrivateKey extends EC implements Common\PrivateKey
+{
+    use Common\Traits\PasswordProtected;
+
+    /**
+     * Private Key dA
+     *
+     * sign() converts this to a BigInteger so one might wonder why this is a FiniteFieldInteger instead of
+     * a BigInteger. That's because a FiniteFieldInteger, when converted to a byte string, is null padded by
+     * a certain amount whereas a BigInteger isn't.
+     *
+     * @var object
+     */
+    protected $dA;
+
+    /**
+     * Multiplies an encoded point by the private key
+     *
+     * Used by ECDH
+     *
+     * @param string $coordinates
+     * @return string
+     */
+    public function multiply($coordinates)
+    {
+        if ($this->curve instanceof MontgomeryCurve) {
+            if ($this->curve instanceof Curve25519 && self::$engines['libsodium']) {
+                return sodium_crypto_scalarmult($this->dA->toBytes(), $coordinates);
+            }
+
+            $point = [$this->curve->convertInteger(new BigInteger(strrev($coordinates), 256))];
+            $point = $this->curve->multiplyPoint($point, $this->dA);
+            return strrev($point[0]->toBytes(true));
+        }
+        if (!$this->curve instanceof TwistedEdwardsCurve) {
+            $coordinates = "\0$coordinates";
+        }
+        $point = PKCS1::extractPoint($coordinates, $this->curve);
+        $point = $this->curve->multiplyPoint($point, $this->dA);
+        if ($this->curve instanceof TwistedEdwardsCurve) {
+            return $this->curve->encodePoint($point);
+        }
+        if (empty($point)) {
+            throw new \RuntimeException('The infinity point is invalid');
+        }
+        return "\4" . $point[0]->toBytes(true) . $point[1]->toBytes(true);
+    }
+
+    /**
+     * Create a signature
+     *
+     * @see self::verify()
+     * @access public
+     * @param string $message
+     * @return mixed
+     */
+    public function sign($message)
+    {
+        if ($this->curve instanceof MontgomeryCurve) {
+            throw new UnsupportedOperationException('Montgomery Curves cannot be used to create signatures');
+        }
+
+        $dA = $this->dA->toBigInteger();
+
+        $order = $this->curve->getOrder();
+
+        $shortFormat = $this->shortFormat;
+        $format = $this->sigFormat;
+        if ($format === false) {
+            return false;
+        }
+
+        if ($this->curve instanceof TwistedEdwardsCurve) {
+            if ($this->curve instanceof Ed25519 && self::$engines['libsodium'] && !isset($this->context)) {
+                $result = sodium_crypto_sign_detached($message, $this->toString('libsodium'));
+                return $shortFormat == 'SSH2' ? Strings::packSSH2('ss', 'ssh-' . strtolower($this->getCurve()), $result) : $result;
+            }
+
+            // contexts (Ed25519ctx) are supported but prehashing (Ed25519ph) is not.
+            // quoting https://tools.ietf.org/html/rfc8032#section-8.5 ,
+            // "The Ed25519ph and Ed448ph variants ... SHOULD NOT be used"
+            $A = $this->curve->encodePoint($this->QA);
+            $curve = $this->curve;
+            $hash = new Hash($curve::HASH);
+
+            $secret = substr($hash->hash($this->dA->secret), $curve::SIZE);
+
+            if ($curve instanceof Ed25519) {
+                $dom = !isset($this->context) ? '' :
+                    'SigEd25519 no Ed25519 collisions' . "\0" . chr(strlen($this->context)) . $this->context;
+            } else {
+                $context = isset($this->context) ? $this->context : '';
+                $dom = 'SigEd448' . "\0" . chr(strlen($context)) . $context;
+            }
+            // SHA-512(dom2(F, C) || prefix || PH(M))
+            $r = $hash->hash($dom . $secret . $message);
+            $r = strrev($r);
+            $r = new BigInteger($r, 256);
+            list(, $r) = $r->divide($order);
+            $R = $curve->multiplyPoint($curve->getBasePoint(), $curve->convertInteger($r));
+            $R = $curve->encodePoint($R);
+            $k = $hash->hash($dom . $R . $A . $message);
+            $k = strrev($k);
+            $k = new BigInteger($k, 256);
+            list(, $k) = $k->divide($order);
+            $S = $k->multiply($dA)->add($r);
+            list(, $S) = $S->divide($order);
+            $S = str_pad(strrev($S->toBytes()), $curve::SIZE, "\0");
+            return $shortFormat == 'SSH2' ? Strings::packSSH2('ss', 'ssh-' . strtolower($this->getCurve()), $R . $S) : $R . $S;
+        }
+
+        if (self::$engines['OpenSSL'] && in_array($this->hash->getHash(), openssl_get_md_methods())) {
+            $signature = '';
+            // altho PHP's OpenSSL bindings only supported EC key creation in PHP 7.1 they've long
+            // supported signing / verification
+            // we use specified curves to avoid issues with OpenSSL possibly not supporting a given named curve;
+            // doing this may mean some curve-specific optimizations can't be used but idk if OpenSSL even
+            // has curve-specific optimizations
+            $result = openssl_sign($message, $signature, $this->toString('PKCS8', ['namedCurve' => false]), $this->hash->getHash());
+
+            if ($result) {
+                if ($shortFormat == 'ASN1') {
+                    return $signature;
+                }
+
+                extract(ASN1Signature::load($signature));
+
+                return $shortFormat == 'SSH2' ? $format::save($r, $s, $this->getCurve()) : $format::save($r, $s);
+            }
+        }
+
+        $e = $this->hash->hash($message);
+        $e = new BigInteger($e, 256);
+
+        $Ln = $this->hash->getLength() - $order->getLength();
+        $z = $Ln > 0 ? $e->bitwise_rightShift($Ln) : $e;
+
+        while (true) {
+            $k = BigInteger::randomRange(self::$one, $order->subtract(self::$one));
+            list($x, $y) = $this->curve->multiplyPoint($this->curve->getBasePoint(), $this->curve->convertInteger($k));
+            $x = $x->toBigInteger();
+            list(, $r) = $x->divide($order);
+            if ($r->equals(self::$zero)) {
+                continue;
+            }
+            $kinv = $k->modInverse($order);
+            $temp = $z->add($dA->multiply($r));
+            $temp = $kinv->multiply($temp);
+            list(, $s) = $temp->divide($order);
+            if (!$s->equals(self::$zero)) {
+                break;
+            }
+        }
+
+        // the following is an RFC6979 compliant implementation of deterministic ECDSA
+        // it's unused because it's mainly intended for use when a good CSPRNG isn't
+        // available. if phpseclib's CSPRNG isn't good then even key generation is
+        // suspect
+        /*
+        // if this were actually being used it'd probably be better if this lived in load() and createKey()
+        $this->q = $this->curve->getOrder();
+        $dA = $this->dA->toBigInteger();
+        $this->x = $dA;
+
+        $h1 = $this->hash->hash($message);
+        $k = $this->computek($h1);
+        list($x, $y) = $this->curve->multiplyPoint($this->curve->getBasePoint(), $this->curve->convertInteger($k));
+        $x = $x->toBigInteger();
+        list(, $r) = $x->divide($this->q);
+        $kinv = $k->modInverse($this->q);
+        $h1 = $this->bits2int($h1);
+        $temp = $h1->add($dA->multiply($r));
+        $temp = $kinv->multiply($temp);
+        list(, $s) = $temp->divide($this->q);
+        */
+
+        return $shortFormat == 'SSH2' ? $format::save($r, $s, $this->getCurve()) : $format::save($r, $s);
+    }
+
+    /**
+     * Returns the private key
+     *
+     * @param string $type
+     * @param array $options optional
+     * @return string
+     */
+    public function toString($type, array $options = [])
+    {
+        $type = self::validatePlugin('Keys', $type, 'savePrivateKey');
+
+        return $type::savePrivateKey($this->dA, $this->curve, $this->QA, $this->password, $options);
+    }
+
+    /**
+     * Returns the public key
+     *
+     * @see self::getPrivateKey()
+     * @access public
+     * @return mixed
+     */
+    public function getPublicKey()
+    {
+        $format = 'PKCS8';
+        if ($this->curve instanceof MontgomeryCurve) {
+            $format = 'MontgomeryPublic';
+        }
+
+        $type = self::validatePlugin('Keys', $format, 'savePublicKey');
+
+        $key = $type::savePublicKey($this->curve, $this->QA);
+        $key = EC::loadFormat($format, $key);
+        if ($this->curve instanceof MontgomeryCurve) {
+            return $key;
+        }
+        $key = $key
+            ->withHash($this->hash->getHash())
+            ->withSignatureFormat($this->shortFormat);
+        if ($this->curve instanceof TwistedEdwardsCurve) {
+            $key = $key->withContext($this->context);
+        }
+        return $key;
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/PublicKey.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/PublicKey.php
new file mode 100644
index 000000000..2cb92ab68
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/PublicKey.php
@@ -0,0 +1,177 @@
+<?php
+
+/**
+ * EC Public Key
+ *
+ * @category  Crypt
+ * @package   EC
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\EC;
+
+use phpseclib3\Crypt\EC;
+use phpseclib3\Crypt\Hash;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Crypt\EC\Formats\Signature\ASN1 as ASN1Signature;
+use phpseclib3\Crypt\EC\BaseCurves\TwistedEdwards as TwistedEdwardsCurve;
+use phpseclib3\Crypt\EC\BaseCurves\Montgomery as MontgomeryCurve;
+use phpseclib3\Crypt\EC\Curves\Ed25519;
+use phpseclib3\Crypt\EC\Formats\Keys\PKCS1;
+use phpseclib3\Crypt\Common;
+use phpseclib3\Exception\UnsupportedOperationException;
+use phpseclib3\Common\Functions\Strings;
+
+/**
+ * EC Public Key
+ *
+ * @package EC
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class PublicKey extends EC implements Common\PublicKey
+{
+    use Common\Traits\Fingerprint;
+
+    /**
+     * Verify a signature
+     *
+     * @see self::verify()
+     * @access public
+     * @param string $message
+     * @param string $signature
+     * @return mixed
+     */
+    public function verify($message, $signature)
+    {
+        if ($this->curve instanceof MontgomeryCurve) {
+            throw new UnsupportedOperationException('Montgomery Curves cannot be used to create signatures');
+        }
+
+        $shortFormat = $this->shortFormat;
+        $format = $this->sigFormat;
+        if ($format === false) {
+            return false;
+        }
+
+        $order = $this->curve->getOrder();
+
+        if ($this->curve instanceof TwistedEdwardsCurve) {
+            if ($shortFormat == 'SSH2') {
+                list(, $signature) = Strings::unpackSSH2('ss', $signature);
+            }
+
+            if ($this->curve instanceof Ed25519 && self::$engines['libsodium'] && !isset($this->context)) {
+                return sodium_crypto_sign_verify_detached($signature, $message, $this->toString('libsodium'));
+            }
+
+            $curve = $this->curve;
+            if (strlen($signature) != 2 * $curve::SIZE) {
+                return false;
+            }
+
+            $R = substr($signature, 0, $curve::SIZE);
+            $S = substr($signature, $curve::SIZE);
+
+            try {
+                $R = PKCS1::extractPoint($R, $curve);
+                $R = $this->curve->convertToInternal($R);
+            } catch (\Exception $e) {
+                return false;
+            }
+
+            $S = strrev($S);
+            $S = new BigInteger($S, 256);
+
+            if ($S->compare($order) >= 0) {
+                return false;
+            }
+
+            $A = $curve->encodePoint($this->QA);
+
+            if ($curve instanceof Ed25519) {
+                $dom2 = !isset($this->context) ? '' :
+                    'SigEd25519 no Ed25519 collisions' . "\0" . chr(strlen($this->context)) . $this->context;
+            } else {
+                $context = isset($this->context) ? $this->context : '';
+                $dom2 = 'SigEd448' . "\0" . chr(strlen($context)) . $context;
+            }
+
+            $hash = new Hash($curve::HASH);
+            $k = $hash->hash($dom2 . substr($signature, 0, $curve::SIZE) . $A . $message);
+            $k = strrev($k);
+            $k = new BigInteger($k, 256);
+            list(, $k) = $k->divide($order);
+
+            $qa = $curve->convertToInternal($this->QA);
+
+            $lhs = $curve->multiplyPoint($curve->getBasePoint(), $curve->convertInteger($S));
+            $rhs = $curve->multiplyPoint($qa, $curve->convertInteger($k));
+            $rhs = $curve->addPoint($rhs, $R);
+            $rhs = $curve->convertToAffine($rhs);
+
+            return $lhs[0]->equals($rhs[0]) && $lhs[1]->equals($rhs[1]);
+        }
+
+        $params = $format::load($signature);
+        if ($params === false || count($params) != 2) {
+            return false;
+        }
+        extract($params);
+
+        if (self::$engines['OpenSSL'] && in_array($this->hash->getHash(), openssl_get_md_methods())) {
+            $sig = $format != 'ASN1' ? ASN1Signature::save($r, $s) : $signature;
+
+            $result = openssl_verify($message, $sig, $this->toString('PKCS8', ['namedCurve' => false]), $this->hash->getHash());
+
+            if ($result != -1) {
+                return (bool) $result;
+            }
+        }
+
+        $n_1 = $order->subtract(self::$one);
+        if (!$r->between(self::$one, $n_1) || !$s->between(self::$one, $n_1)) {
+            return false;
+        }
+
+        $e = $this->hash->hash($message);
+        $e = new BigInteger($e, 256);
+
+        $Ln = $this->hash->getLength() - $order->getLength();
+        $z = $Ln > 0 ? $e->bitwise_rightShift($Ln) : $e;
+
+        $w = $s->modInverse($order);
+        list(, $u1) = $z->multiply($w)->divide($order);
+        list(, $u2) = $r->multiply($w)->divide($order);
+
+        $u1 = $this->curve->convertInteger($u1);
+        $u2 = $this->curve->convertInteger($u2);
+
+        list($x1, $y1) = $this->curve->multiplyAddPoints(
+            [$this->curve->getBasePoint(), $this->QA],
+            [$u1, $u2]
+        );
+
+        $x1 = $x1->toBigInteger();
+        list(, $x1) = $x1->divide($order);
+
+        return $x1->equals($r);
+    }
+
+    /**
+     * Returns the public key
+     *
+     * @param string $type
+     * @param array $options optional
+     * @return string
+     */
+    public function toString($type, array $options = [])
+    {
+        $type = self::validatePlugin('Keys', $type, 'savePublicKey');
+
+        return $type::savePublicKey($this->curve, $this->QA, $options);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/Hash.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Hash.php
new file mode 100644
index 000000000..706de2147
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Hash.php
@@ -0,0 +1,1484 @@
+<?php
+
+/**
+ * Wrapper around hash() and hash_hmac() functions supporting truncated hashes
+ * such as sha256-96.  Any hash algorithm returned by hash_algos() (and
+ * truncated versions thereof) are supported.
+ *
+ * If {@link self::setKey() setKey()} is called, {@link self::hash() hash()} will
+ * return the HMAC as opposed to the hash.
+ *
+ * Here's a short example of how to use this library:
+ * <code>
+ * <?php
+ *    include 'vendor/autoload.php';
+ *
+ *    $hash = new \phpseclib3\Crypt\Hash('sha512');
+ *
+ *    $hash->setKey('abcdefg');
+ *
+ *    echo base64_encode($hash->hash('abcdefg'));
+ * ?>
+ * </code>
+ *
+ * @category  Crypt
+ * @package   Hash
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @author    Andreas Fischer <bantu@phpbb.com>
+ * @copyright 2015 Andreas Fischer
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt;
+
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Exception\UnsupportedAlgorithmException;
+use phpseclib3\Exception\InsufficientSetupException;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Crypt\AES;
+use phpseclib3\Math\PrimeField;
+
+/**
+ * @package Hash
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @author  Andreas Fischer <bantu@phpbb.com>
+ * @access  public
+ */
+class Hash
+{
+    /**
+     * Padding Types
+     *
+     * @access private
+     */
+    //const PADDING_KECCAK = 1;
+
+    /**
+     * Padding Types
+     *
+     * @access private
+     */
+    const PADDING_SHA3 = 2;
+
+    /**
+     * Padding Types
+     *
+     * @access private
+     */
+    const PADDING_SHAKE = 3;
+
+    /**
+     * Padding Type
+     *
+     * Only used by SHA3
+     *
+     * @var int
+     * @access private
+     */
+    private $paddingType = 0;
+
+    /**
+     * Hash Parameter
+     *
+     * @see self::setHash()
+     * @var int
+     * @access private
+     */
+    private $hashParam;
+
+    /**
+     * Byte-length of hash output (Internal HMAC)
+     *
+     * @see self::setHash()
+     * @var int
+     * @access private
+     */
+    private $length;
+
+    /**
+     * Hash Algorithm
+     *
+     * @see self::setHash()
+     * @var string
+     * @access private
+     */
+    private $algo;
+
+    /**
+     * Key
+     *
+     * @see self::setKey()
+     * @var string
+     * @access private
+     */
+    private $key = false;
+
+    /**
+     * Nonce
+     *
+     * @see self::setNonce()
+     * @var string
+     * @access private
+     */
+    private $nonce = false;
+
+    /**
+     * Hash Parameters
+     *
+     * @var array
+     * @access private
+     */
+    private $parameters = [];
+
+    /**
+     * Computed Key
+     *
+     * @see self::_computeKey()
+     * @var string
+     * @access private
+     */
+    private $computedKey = false;
+
+    /**
+     * Outer XOR (Internal HMAC)
+     *
+     * Used only for sha512/*
+     *
+     * @see self::hash()
+     * @var string
+     * @access private
+     */
+    private $opad;
+
+    /**
+     * Inner XOR (Internal HMAC)
+     *
+     * Used only for sha512/*
+     *
+     * @see self::hash()
+     * @var string
+     * @access private
+     */
+    private $ipad;
+
+    /**
+     * Recompute AES Key
+     *
+     * Used only for umac
+     *
+     * @see self::hash()
+     * @var boolean
+     * @access private
+     */
+    private $recomputeAESKey;
+
+    /**
+     * umac cipher object
+     *
+     * @see self::hash()
+     * @var \phpseclib3\Crypt\AES
+     * @access private
+     */
+    private $c;
+
+    /**
+     * umac pad
+     *
+     * @see self::hash()
+     * @var string
+     * @access private
+     */
+    private $pad;
+
+    /**#@+
+     * UMAC variables
+     *
+     * @var PrimeField
+     */
+    private static $factory36;
+    private static $factory64;
+    private static $factory128;
+    private static $offset64;
+    private static $offset128;
+    private static $marker64;
+    private static $marker128;
+    private static $maxwordrange64;
+    private static $maxwordrange128;
+    /**#@-*/
+
+    /**
+     * Default Constructor.
+     *
+     * @param string $hash
+     * @access public
+     */
+    public function __construct($hash = 'sha256')
+    {
+        $this->setHash($hash);
+    }
+
+    /**
+     * Sets the key for HMACs
+     *
+     * Keys can be of any length.
+     *
+     * @access public
+     * @param string $key
+     */
+    public function setKey($key = false)
+    {
+        $this->key = $key;
+        $this->computeKey();
+        $this->recomputeAESKey = true;
+    }
+
+    /**
+     * Sets the nonce for UMACs
+     *
+     * Keys can be of any length.
+     *
+     * @access public
+     * @param string $nonce
+     */
+    public function setNonce($nonce = false)
+    {
+        switch (true) {
+            case !is_string($nonce):
+            case strlen($nonce) > 0 && strlen($nonce) <= 16:
+                $this->recomputeAESKey = true;
+                $this->nonce = $nonce;
+                return;
+        }
+
+        throw new \LengthException('The nonce length must be between 1 and 16 bytes, inclusive');
+    }
+
+    /**
+     * Pre-compute the key used by the HMAC
+     *
+     * Quoting http://tools.ietf.org/html/rfc2104#section-2, "Applications that use keys longer than B bytes
+     * will first hash the key using H and then use the resultant L byte string as the actual key to HMAC."
+     *
+     * As documented in https://www.reddit.com/r/PHP/comments/9nct2l/symfonypolyfill_hash_pbkdf2_correct_fix_for/
+     * when doing an HMAC multiple times it's faster to compute the hash once instead of computing it during
+     * every call
+     *
+     * @access private
+     */
+    private function computeKey()
+    {
+        if ($this->key === false) {
+            $this->computedKey = false;
+            return;
+        }
+
+        if (strlen($this->key) <= $this->getBlockLengthInBytes()) {
+            $this->computedKey = $this->key;
+            return;
+        }
+
+        $this->computedKey = is_array($this->algo) ?
+            call_user_func($this->algo, $this->key) :
+            hash($this->algo, $this->key, true);
+    }
+
+    /**
+     * Gets the hash function.
+     *
+     * As set by the constructor or by the setHash() method.
+     *
+     * @access public
+     * @return string
+     */
+    public function getHash()
+    {
+        return $this->hashParam;
+    }
+
+    /**
+     * Sets the hash function.
+     *
+     * @access public
+     * @param string $hash
+     */
+    public function setHash($hash)
+    {
+        $this->hashParam = $hash = strtolower($hash);
+        switch ($hash) {
+            case 'umac-32':
+            case 'umac-64':
+            case 'umac-96':
+            case 'umac-128':
+                $this->blockSize = 128;
+                $this->length = abs(substr($hash, -3)) >> 3;
+                $this->algo = 'umac';
+                return;
+            case 'md2-96':
+            case 'md5-96':
+            case 'sha1-96':
+            case 'sha224-96':
+            case 'sha256-96':
+            case 'sha384-96':
+            case 'sha512-96':
+            case 'sha512/224-96':
+            case 'sha512/256-96':
+                $hash = substr($hash, 0, -3);
+                $this->length = 12; // 96 / 8 = 12
+                break;
+            case 'md2':
+            case 'md5':
+                $this->length = 16;
+                break;
+            case 'sha1':
+                $this->length = 20;
+                break;
+            case 'sha224':
+            case 'sha512/224':
+            case 'sha3-224':
+                $this->length = 28;
+                break;
+            case 'sha256':
+            case 'sha512/256':
+            case 'sha3-256':
+                $this->length = 32;
+                break;
+            case 'sha384':
+            case 'sha3-384':
+                $this->length = 48;
+                break;
+            case 'sha512':
+            case 'sha3-512':
+                $this->length = 64;
+                break;
+            default:
+                if (preg_match('#^(shake(?:128|256))-(\d+)$#', $hash, $matches)) {
+                    $this->paddingType = self::PADDING_SHAKE;
+                    $hash = $matches[1];
+                    $this->length = $matches[2] >> 3;
+                } else {
+                    throw new UnsupportedAlgorithmException(
+                        "$hash is not a supported algorithm"
+                    );
+                }
+        }
+
+        switch ($hash) {
+            case 'md2':
+            case 'md2-96':
+                $this->blockSize = 128;
+                break;
+            case 'md5-96':
+            case 'sha1-96':
+            case 'sha224-96':
+            case 'sha256-96':
+            case 'md5':
+            case 'sha1':
+            case 'sha224':
+            case 'sha256':
+                $this->blockSize = 512;
+                break;
+            case 'sha3-224':
+                $this->blockSize = 1152; // 1600 - 2*224
+                break;
+            case 'sha3-256':
+            case 'shake256':
+                $this->blockSize = 1088; // 1600 - 2*256
+                break;
+            case 'sha3-384':
+                $this->blockSize = 832; // 1600 - 2*384
+                break;
+            case 'sha3-512':
+                $this->blockSize = 576; // 1600 - 2*512
+                break;
+            case 'shake128':
+                $this->blockSize = 1344; // 1600 - 2*128
+                break;
+            default:
+                $this->blockSize = 1024;
+        }
+
+        if (in_array(substr($hash, 0, 5), ['sha3-', 'shake'])) {
+            // PHP 7.1.0 introduced support for "SHA3 fixed mode algorithms":
+            // http://php.net/ChangeLog-7.php#7.1.0
+            if (version_compare(PHP_VERSION, '7.1.0') < 0 || substr($hash, 0,5) == 'shake') {
+                //preg_match('#(\d+)$#', $hash, $matches);
+                //$this->parameters['capacity'] = 2 * $matches[1]; // 1600 - $this->blockSize
+                //$this->parameters['rate'] = 1600 - $this->parameters['capacity']; // == $this->blockSize
+                if (!$this->paddingType) {
+                    $this->paddingType = self::PADDING_SHA3;
+                }
+                $this->parameters = [
+                    'capacity' => 1600 - $this->blockSize,
+                    'rate' => $this->blockSize,
+                    'length' => $this->length,
+                    'padding' => $this->paddingType
+                ];
+                $hash = ['phpseclib3\Crypt\Hash', PHP_INT_SIZE == 8 ? 'sha3_64' : 'sha3_32'];
+            }
+        }
+
+        if ($hash == 'sha512/224' || $hash == 'sha512/256') {
+            // PHP 7.1.0 introduced sha512/224 and sha512/256 support:
+            // http://php.net/ChangeLog-7.php#7.1.0
+            if (version_compare(PHP_VERSION, '7.1.0') < 0) {
+                // from http://csrc.nist.gov/publications/fips/fips180-4/fips-180-4.pdf#page=24
+                $initial = $hash == 'sha512/256' ?
+                    [
+                        '22312194FC2BF72C', '9F555FA3C84C64C2', '2393B86B6F53B151', '963877195940EABD',
+                        '96283EE2A88EFFE3', 'BE5E1E2553863992', '2B0199FC2C85B8AA', '0EB72DDC81C52CA2'
+                    ] :
+                    [
+                        '8C3D37C819544DA2', '73E1996689DCD4D6', '1DFAB7AE32FF9C82', '679DD514582F9FCF',
+                        '0F6D2B697BD44DA8', '77E36F7304C48942', '3F9D85A86A1D36C8', '1112E6AD91D692A1'
+                    ];
+                for ($i = 0; $i < 8; $i++) {
+                    $initial[$i] = new BigInteger($initial[$i], 16);
+                    $initial[$i]->setPrecision(64);
+                }
+
+                $this->parameters = compact('initial');
+
+                $hash = ['phpseclib3\Crypt\Hash', 'sha512'];
+            }
+        }
+
+        if (is_array($hash)) {
+            $b = $this->blockSize >> 3;
+            $this->ipad = str_repeat(chr(0x36), $b);
+            $this->opad = str_repeat(chr(0x5C), $b);
+        }
+
+        $this->algo = $hash;
+
+        $this->computeKey();
+    }
+
+    /**
+     * KDF: Key-Derivation Function
+     *
+     * The key-derivation function generates pseudorandom bits used to key the hash functions.
+     *
+     * @param int $index a non-negative integer less than 2^64
+     * @param int $numbytes a non-negative integer less than 2^64
+     * @return string string of length numbytes bytes
+     */
+    private function kdf($index, $numbytes)
+    {
+        $this->c->setIV(pack('N4', 0, $index, 0, 1));
+
+        return $this->c->encrypt(str_repeat("\0", $numbytes));
+    }
+
+    /**
+     * PDF Algorithm
+     *
+     * @return string string of length taglen bytes.
+     */
+    private function pdf()
+    {
+        $k = $this->key;
+        $nonce = $this->nonce;
+        $taglen = $this->length;
+
+        //
+        // Extract and zero low bit(s) of Nonce if needed
+        //
+        if ($taglen <= 8) {
+            $last = strlen($nonce) - 1;
+            $mask = $taglen == 4 ? "\3" : "\1";
+            $index = $nonce[$last] & $mask;
+            $nonce[$last] = $nonce[$last] ^ $index;
+        }
+
+        //
+        // Make Nonce BLOCKLEN bytes by appending zeroes if needed
+        //
+        $nonce = str_pad($nonce, 16, "\0");
+
+        //
+        // Generate subkey, encipher and extract indexed substring
+        //
+        $kp = $this->kdf(0, 16);
+        $c = new AES('ctr');
+        $c->disablePadding();
+        $c->setKey($kp);
+        $c->setIV($nonce);
+        $t = $c->encrypt("\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0");
+
+        // we could use ord() but per https://paragonie.com/blog/2016/06/constant-time-encoding-boring-cryptography-rfc-4648-and-you
+        // unpack() doesn't leak timing info
+        return $taglen <= 8 ?
+            substr($t, unpack('C', $index)[1] * $taglen, $taglen) :
+            substr($t, 0, $taglen);
+    }
+
+    /**
+     * UHASH Algorithm
+     *
+     * @param string $m string of length less than 2^67 bits.
+     * @param int $taglen the integer 4, 8, 12 or 16.
+     * @return string string of length taglen bytes.
+     */
+    private function uhash($m, $taglen)
+    {
+        //
+        // One internal iteration per 4 bytes of output
+        //
+        $iters = $taglen >> 2;
+
+        //
+        // Define total key needed for all iterations using KDF.
+        // L1Key reuses most key material between iterations.
+        //
+        //$L1Key  = $this->kdf(1, 1024 + ($iters - 1) * 16);
+        $L1Key  = $this->kdf(1, (1024 + ($iters - 1)) * 16);
+        $L2Key  = $this->kdf(2, $iters * 24);
+        $L3Key1 = $this->kdf(3, $iters * 64);
+        $L3Key2 = $this->kdf(4, $iters * 4);
+
+        //
+        // For each iteration, extract key and do three-layer hash.
+        // If bytelength(M) <= 1024, then skip L2-HASH.
+        //
+        $y = '';
+        for ($i = 0; $i < $iters; $i++) {
+            $L1Key_i  = substr($L1Key,  $i * 16, 1024);
+            $L2Key_i  = substr($L2Key,  $i * 24, 24);
+            $L3Key1_i = substr($L3Key1, $i * 64, 64);
+            $L3Key2_i = substr($L3Key2, $i * 4, 4);
+
+            $a = self::L1Hash($L1Key_i, $m);
+            $b = strlen($m) <= 1024 ? "\0\0\0\0\0\0\0\0$a" : self::L2Hash($L2Key_i, $a);
+            $c = self::L3Hash($L3Key1_i, $L3Key2_i, $b);
+            $y.= $c;
+        }
+
+        return $y;
+    }
+
+    /**
+     * L1-HASH Algorithm
+     *
+     * The first-layer hash breaks the message into 1024-byte chunks and
+     * hashes each with a function called NH.  Concatenating the results
+     * forms a string, which is up to 128 times shorter than the original.
+     *
+     * @param string $k string of length 1024 bytes.
+     * @param string $m string of length less than 2^67 bits.
+     * @return string string of length (8 * ceil(bitlength(M)/8192)) bytes.
+     */
+    private static function L1Hash($k, $m)
+    {
+        //
+        // Break M into 1024 byte chunks (final chunk may be shorter)
+        //
+        $m = str_split($m, 1024);
+
+        //
+        // For each chunk, except the last: endian-adjust, NH hash
+        // and add bit-length.  Use results to build Y.
+        //
+        $length = new BigInteger(1024 * 8);
+        $y = '';
+        for ($i = 0; $i < count($m) - 1; $i++) {
+            $m[$i] = pack('N*', ...unpack('V*', $m[$i])); // ENDIAN-SWAP
+            $y.= static::nh($k, $m[$i], $length);
+        }
+
+        //
+        // For the last chunk: pad to 32-byte boundary, endian-adjust,
+        // NH hash and add bit-length.  Concatenate the result to Y.
+        //
+        $length = strlen($m[$i]);
+        $pad = 32 - ($length % 32);
+        $pad = max(32, $length + $pad % 32);
+        $m[$i] = str_pad($m[$i], $pad, "\0"); // zeropad
+        $m[$i] = pack('N*', ...unpack('V*', $m[$i])); // ENDIAN-SWAP
+
+        $y.= static::nh($k, $m[$i], new BigInteger($length * 8));
+
+        return $y;
+    }
+
+    /**
+     * NH Algorithm
+     *
+     * @param string $k string of length 1024 bytes.
+     * @param string $m string with length divisible by 32 bytes.
+     * @return string string of length 8 bytes.
+     */
+    private static function nh($k, $m, $length)
+    {
+        $toUInt32 = function($x) {
+            $x = new BigInteger($x, 256);
+            $x->setPrecision(32);
+            return $x;
+        };
+
+        //
+        // Break M and K into 4-byte chunks
+        //
+        //$t = strlen($m) >> 2;
+        $m = str_split($m, 4);
+        $t = count($m);
+        $k = str_split($k, 4);
+        $k = array_pad(array_slice($k, 0, $t), $t, 0);
+
+        $m = array_map($toUInt32, $m);
+        $k = array_map($toUInt32, $k);
+
+        //
+        // Perform NH hash on the chunks, pairing words for multiplication
+        // which are 4 apart to accommodate vector-parallelism.
+        //
+        $y = new BigInteger;
+        $y->setPrecision(64);
+        $i = 0;
+        while ($i < $t) {
+            $temp = $m[$i]->add($k[$i]);
+            $temp->setPrecision(64);
+            $temp = $temp->multiply($m[$i + 4]->add($k[$i + 4]));
+            $y = $y->add($temp);
+
+            $temp = $m[$i + 1]->add($k[$i + 1]);
+            $temp->setPrecision(64);
+            $temp = $temp->multiply($m[$i + 5]->add($k[$i + 5]));
+            $y = $y->add($temp);
+
+            $temp = $m[$i + 2]->add($k[$i + 2]);
+            $temp->setPrecision(64);
+            $temp = $temp->multiply($m[$i + 6]->add($k[$i + 6]));
+            $y = $y->add($temp);
+
+            $temp = $m[$i + 3]->add($k[$i + 3]);
+            $temp->setPrecision(64);
+            $temp = $temp->multiply($m[$i + 7]->add($k[$i + 7]));
+            $y = $y->add($temp);
+
+            $i+= 8;
+        }
+
+        return $y->add($length)->toBytes();
+    }
+
+    /**
+     * L2-HASH: Second-Layer Hash
+     *
+     * The second-layer rehashes the L1-HASH output using a polynomial hash
+     * called POLY.  If the L1-HASH output is long, then POLY is called once
+     * on a prefix of the L1-HASH output and called using different settings
+     * on the remainder.  (This two-step hashing of the L1-HASH output is
+     * needed only if the message length is greater than 16 megabytes.)
+     * Careful implementation of POLY is necessary to avoid a possible
+     * timing attack (see Section 6.6 for more information).
+     *
+     * @param string $k string of length 24 bytes.
+     * @param string $m string of length less than 2^64 bytes.
+     * @return string string of length 16 bytes.
+     */
+    private static function L2Hash($k, $m)
+    {
+        //
+        //  Extract keys and restrict to special key-sets
+        //
+        $k64 = $k & "\x01\xFF\xFF\xFF\x01\xFF\xFF\xFF";
+        $k64 = new BigInteger($k64, 256);
+        $k128 = substr($k, 8) & "\x01\xFF\xFF\xFF\x01\xFF\xFF\xFF\x01\xFF\xFF\xFF\x01\xFF\xFF\xFF";
+        $k128 = new BigInteger($k128, 256);
+
+        //
+        // If M is no more than 2^17 bytes, hash under 64-bit prime,
+        // otherwise, hash first 2^17 bytes under 64-bit prime and
+        // remainder under 128-bit prime.
+        //
+        if (strlen($m) <= 0x20000) { // 2^14 64-bit words
+            $y = self::poly(64, self::$maxwordrange64, $k64, $m);
+        } else {
+            $m_1 = substr($m, 0, 0x20000); // 1 << 17
+            $m_2 = substr($m, 0x20000) . "\x80";
+            $length = strlen($m_2);
+            $pad = 16 - ($length % 16);
+            $pad%= 16;
+            $m_2 = str_pad($m_2, $length + $pad, "\0"); // zeropad
+            $y = self::poly(64, self::$maxwordrange64, $k64, $m_1);
+            $y = str_pad($y, 16, "\0", STR_PAD_LEFT);
+            $y = self::poly(128, self::$maxwordrange128, $k128, $y . $m_2);
+        }
+
+        return str_pad($y, 16, "\0", STR_PAD_LEFT);
+    }
+
+    /**
+     * POLY Algorithm
+     *
+     * @param int $wordbits the integer 64 or 128.
+     * @param BigInteger $maxwordrange positive integer less than 2^wordbits.
+     * @param BigInteger $k integer in the range 0 ... prime(wordbits) - 1.
+     * @param string $m string with length divisible by (wordbits / 8) bytes.
+     * @return integer in the range 0 ... prime(wordbits) - 1.
+     */
+    private static function poly($wordbits, $maxwordrange, $k, $m)
+    {
+        //
+        // Define constants used for fixing out-of-range words
+        //
+        $wordbytes = $wordbits >> 3;
+        if ($wordbits == 128) {
+            $factory = self::$factory128;
+            $offset = self::$offset128;
+            $marker = self::$marker128;
+        } else {
+            $factory = self::$factory64;
+            $offset = self::$offset64;
+            $marker = self::$marker64;
+        }
+
+        $k = $factory->newInteger($k);
+
+        //
+        // Break M into chunks of length wordbytes bytes
+        //
+        $m_i = str_split($m, $wordbytes);
+
+        //
+        // Each input word m is compared with maxwordrange.  If not smaller
+        // then 'marker' and (m - offset), both in range, are hashed.
+        //
+        $y = $factory->newInteger(new BigInteger(1));
+        foreach ($m_i as $m) {
+            $m = $factory->newInteger(new BigInteger($m, 256));
+            if ($m->compare($maxwordrange) >= 0) {
+                $y = $k->multiply($y)->add($marker);
+                $y = $k->multiply($y)->add($m->subtract($offset));
+            } else {
+                $y = $k->multiply($y)->add($m);
+            }
+        }
+
+        return $y->toBytes();
+    }
+
+    /**
+     * L3-HASH: Third-Layer Hash
+     *
+     * The output from L2-HASH is 16 bytes long.  This final hash function
+     * hashes the 16-byte string to a fixed length of 4 bytes.
+     *
+     * @param string $k1 string of length 64 bytes.
+     * @param string $k2 string of length 4 bytes.
+     * @param string $m string of length 16 bytes.
+     * @return string string of length 4 bytes.
+     */
+    private static function L3Hash($k1, $k2, $m)
+    {
+        $factory = self::$factory36;
+
+        $y = $factory->newInteger(new BigInteger());
+        for ($i = 0; $i < 8; $i++) {
+            $m_i = $factory->newInteger(new BigInteger(substr($m, 2 * $i, 2), 256));
+            $k_i = $factory->newInteger(new BigInteger(substr($k1, 8 * $i, 8), 256));
+            $y = $y->add($m_i->multiply($k_i));
+        }
+        $y = str_pad(substr($y->toBytes(), -4), 4, "\0", STR_PAD_LEFT);
+        $y = $y ^ $k2;
+
+        return $y;
+    }
+
+    /**
+     * Compute the Hash / HMAC / UMAC.
+     *
+     * @access public
+     * @param string $text
+     * @return string
+     */
+    public function hash($text)
+    {
+        $algo = $this->algo;
+        if ($algo == 'umac') {
+            if ($this->recomputeAESKey) {
+                if (!is_string($this->nonce)) {
+                    throw new InsufficientSetupException('No nonce has been set');
+                }
+                if (!is_string($this->key)) {
+                    throw new InsufficientSetupException('No key has been set');
+                }
+                if (strlen($this->key) != 16) {
+                    throw new \LengthException('Key must be 16 bytes long');
+                }
+
+                if (!isset(self::$maxwordrange64)) {
+                    $one = new BigInteger(1);
+
+                    $prime36 = new BigInteger("\x00\x00\x00\x0F\xFF\xFF\xFF\xFB", 256);
+                    self::$factory36 = new PrimeField($prime36);
+
+                    $prime64 = new BigInteger("\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xC5", 256);
+                    self::$factory64 = new PrimeField($prime64);
+
+                    $prime128 = new BigInteger("\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\x61", 256);
+                    self::$factory128 = new PrimeField($prime128);
+
+                    self::$offset64 = new BigInteger("\1\0\0\0\0\0\0\0\0", 256);
+                    self::$offset64 = self::$factory64->newInteger(self::$offset64->subtract($prime64));
+                    self::$offset128 = new BigInteger("\1\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0", 256);
+                    self::$offset128 = self::$factory128->newInteger(self::$offset128->subtract($prime128));
+
+                    self::$marker64 = self::$factory64->newInteger($prime64->subtract($one));
+                    self::$marker128 = self::$factory128->newInteger($prime128->subtract($one));
+
+                    $maxwordrange64 = $one->bitwise_leftShift(64)->subtract($one->bitwise_leftShift(32));
+                    self::$maxwordrange64 = self::$factory64->newInteger($maxwordrange64);
+
+                    $maxwordrange128 = $one->bitwise_leftShift(128)->subtract($one->bitwise_leftShift(96));
+                    self::$maxwordrange128 = self::$factory128->newInteger($maxwordrange128);
+                }
+
+                $this->c = new AES('ctr');
+                $this->c->disablePadding();
+                $this->c->setKey($this->key);
+
+                $this->pad = $this->pdf();
+
+                $this->recomputeAESKey = false;
+            }
+
+            $hashedmessage = $this->uhash($text, $this->length);
+            return $hashedmessage ^ $this->pad;
+        }
+
+        if (is_array($algo)) {
+            if (empty($this->key) || !is_string($this->key)) {
+                return substr($algo($text, ...array_values($this->parameters)), 0, $this->length);
+            }
+
+            // SHA3 HMACs are discussed at https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.202.pdf#page=30
+
+            $key    = str_pad($this->computedKey, $b, chr(0));
+            $temp   = $this->ipad ^ $key;
+            $temp  .= $text;
+            $temp   = substr($algo($temp, ...array_values($this->parameters)), 0, $this->length);
+            $output = $this->opad ^ $key;
+            $output.= $temp;
+            $output = $algo($output, ...array_values($this->parameters));
+
+            return substr($output, 0, $this->length);
+        }
+
+        $output = !empty($this->key) || is_string($this->key) ?
+            hash_hmac($algo, $text, $this->computedKey, true) :
+            hash($algo, $text, true);
+
+        return strlen($output) > $this->length
+            ? substr($output, 0, $this->length)
+            : $output;
+    }
+
+    /**
+     * Returns the hash length (in bits)
+     *
+     * @access public
+     * @return int
+     */
+    public function getLength()
+    {
+        return $this->length << 3;
+    }
+
+    /**
+     * Returns the hash length (in bytes)
+     *
+     * @access public
+     * @return int
+     */
+    public function getLengthInBytes()
+    {
+        return $this->length;
+    }
+
+    /**
+     * Returns the block length (in bits)
+     *
+     * @access public
+     * @return int
+     */
+    public function getBlockLength()
+    {
+        return $this->blockSize;
+    }
+
+    /**
+     * Returns the block length (in bytes)
+     *
+     * @access public
+     * @return int
+     */
+    public function getBlockLengthInBytes()
+    {
+        return $this->blockSize >> 3;
+    }
+
+    /**
+     * Pads SHA3 based on the mode
+     *
+     * @access private
+     * @param int $padLength
+     * @param int $padType
+     * @return string
+     */
+    private static function sha3_pad($padLength, $padType)
+    {
+        switch ($padType) {
+            //case self::PADDING_KECCAK:
+            //    $temp = chr(0x06) . str_repeat("\0", $padLength - 1);
+            //    $temp[$padLength - 1] = $temp[$padLength - 1] | chr(0x80);
+            //    return $temp
+            case self::PADDING_SHAKE:
+                $temp = chr(0x1F) . str_repeat("\0", $padLength - 1);
+                $temp[$padLength - 1] = $temp[$padLength - 1] | chr(0x80);
+                return $temp;
+            //case self::PADDING_SHA3:
+            default:
+                // from https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.202.pdf#page=36
+                return $padLength == 1 ? chr(0x86) : chr(0x06) . str_repeat("\0", $padLength - 2) . chr(0x80);
+        }
+    }
+
+    /**
+     * Pure-PHP 32-bit implementation of SHA3
+     *
+     * Whereas BigInteger.php's 32-bit engine works on PHP 64-bit this 32-bit implementation
+     * of SHA3 will *not* work on PHP 64-bit. This is because this implementation
+     * employees bitwise NOTs and bitwise left shifts. And the round constants only work
+     * on 32-bit PHP. eg. dechex(-2147483648) returns 80000000 on 32-bit PHP and
+     * FFFFFFFF80000000 on 64-bit PHP. Sure, we could do bitwise ANDs but that would slow
+     * things down.
+     *
+     * SHA512 requires BigInteger to simulate 64-bit unsigned integers because SHA2 employees
+     * addition whereas SHA3 just employees bitwise operators. PHP64 only supports signed
+     * 64-bit integers, which complicates addition, whereas that limitation isn't an issue
+     * for SHA3.
+     *
+     * In https://ws680.nist.gov/publication/get_pdf.cfm?pub_id=919061#page=16 KECCAK[C] is
+     * defined as "the KECCAK instance with KECCAK-f[1600] as the underlying permutation and
+     * capacity c". This is relevant because, altho the KECCAK standard defines a mode
+     * (KECCAK-f[800]) designed for 32-bit machines that mode is incompatible with SHA3
+     *
+     * @access private
+     * @param string $p
+     * @param int $c
+     * @param int $r
+     * @param int $d
+     * @param int $padType
+     */
+    private static function sha3_32($p, $c, $r, $d, $padType)
+    {
+        $block_size = $r >> 3;
+        $padLength = $block_size - (strlen($p) % $block_size);
+        $num_ints = $block_size >> 2;
+
+        $p.= static::sha3_pad($padLength, $padType);
+
+        $n = strlen($p) / $r; // number of blocks
+
+        $s = [
+            [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]],
+            [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]],
+            [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]],
+            [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]],
+            [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]
+        ];
+
+        $p = str_split($p, $block_size);
+
+        foreach ($p as $pi) {
+            $pi = unpack('V*', $pi);
+            $x = $y = 0;
+            for ($i = 1; $i <= $num_ints; $i+=2) {
+                $s[$x][$y][0]^= $pi[$i + 1];
+                $s[$x][$y][1]^= $pi[$i];
+                if (++$y == 5) {
+                    $y = 0;
+                    $x++;
+                }
+            }
+            static::processSHA3Block32($s);
+        }
+
+        $z = '';
+        $i = $j = 0;
+        while (strlen($z) < $d) {
+            $z.= pack('V2', $s[$i][$j][1], $s[$i][$j++][0]);
+            if ($j == 5) {
+                $j = 0;
+                $i++;
+                if ($i == 5) {
+                    $i = 0;
+                    static::processSHA3Block32($s);
+                }
+            }
+        }
+
+        return $z;
+    }
+
+    /**
+     * 32-bit block processing method for SHA3
+     *
+     * @access private
+     * @param array $s
+     */
+    private static function processSHA3Block32(&$s)
+    {
+        static $rotationOffsets = [
+            [ 0,  1, 62, 28, 27],
+            [36, 44,  6, 55, 20],
+            [ 3, 10, 43, 25, 39],
+            [41, 45, 15, 21,  8],
+            [18,  2, 61, 56, 14]
+        ];
+
+        // the standards give these constants in hexadecimal notation. it's tempting to want to use
+        // that same notation, here, however, we can't, because 0x80000000, on PHP32, is a positive
+        // float - not the negative int that we need to be in PHP32. so we use -2147483648 instead
+        static $roundConstants = [
+            [0, 1],
+            [0, 32898],
+            [-2147483648, 32906],
+            [-2147483648, -2147450880],
+            [0, 32907],
+            [0, -2147483647],
+            [-2147483648, -2147450751],
+            [-2147483648, 32777],
+            [0, 138],
+            [0, 136],
+            [0, -2147450871],
+            [0, -2147483638],
+            [0, -2147450741],
+            [-2147483648, 139],
+            [-2147483648, 32905],
+            [-2147483648, 32771],
+            [-2147483648, 32770],
+            [-2147483648, 128],
+            [0, 32778],
+            [-2147483648, -2147483638],
+            [-2147483648, -2147450751],
+            [-2147483648, 32896],
+            [0, -2147483647],
+            [-2147483648, -2147450872]
+        ];
+
+        for ($round = 0; $round < 24; $round++) {
+            // theta step
+            $parity = $rotated = [];
+            for ($i = 0; $i < 5; $i++) {
+                $parity[] = [
+                    $s[0][$i][0] ^ $s[1][$i][0] ^ $s[2][$i][0] ^ $s[3][$i][0] ^ $s[4][$i][0],
+                    $s[0][$i][1] ^ $s[1][$i][1] ^ $s[2][$i][1] ^ $s[3][$i][1] ^ $s[4][$i][1]
+                ];
+                $rotated[] = static::rotateLeft32($parity[$i], 1);
+            }
+
+            $temp = [
+                [$parity[4][0] ^ $rotated[1][0], $parity[4][1] ^ $rotated[1][1]],
+                [$parity[0][0] ^ $rotated[2][0], $parity[0][1] ^ $rotated[2][1]],
+                [$parity[1][0] ^ $rotated[3][0], $parity[1][1] ^ $rotated[3][1]],
+                [$parity[2][0] ^ $rotated[4][0], $parity[2][1] ^ $rotated[4][1]],
+                [$parity[3][0] ^ $rotated[0][0], $parity[3][1] ^ $rotated[0][1]]
+            ];
+            for ($i = 0; $i < 5; $i++) {
+                for ($j = 0; $j < 5; $j++) {
+                    $s[$i][$j][0]^= $temp[$j][0];
+                    $s[$i][$j][1]^= $temp[$j][1];
+                }
+            }
+
+            $st = $s;
+
+            // rho and pi steps
+            for ($i = 0; $i < 5; $i++) {
+                for ($j = 0; $j < 5; $j++) {
+                    $st[(2 * $i + 3 * $j) % 5][$j] = static::rotateLeft32($s[$j][$i], $rotationOffsets[$j][$i]);
+                }
+            }
+
+            // chi step
+            for ($i = 0; $i < 5; $i++) {
+                $s[$i][0] = [
+                    $st[$i][0][0] ^ (~$st[$i][1][0] & $st[$i][2][0]),
+                    $st[$i][0][1] ^ (~$st[$i][1][1] & $st[$i][2][1])
+                ];
+                $s[$i][1] = [
+                    $st[$i][1][0] ^ (~$st[$i][2][0] & $st[$i][3][0]),
+                    $st[$i][1][1] ^ (~$st[$i][2][1] & $st[$i][3][1])
+                ];
+                $s[$i][2] = [
+                    $st[$i][2][0] ^ (~$st[$i][3][0] & $st[$i][4][0]),
+                    $st[$i][2][1] ^ (~$st[$i][3][1] & $st[$i][4][1])
+                ];
+                $s[$i][3] = [
+                    $st[$i][3][0] ^ (~$st[$i][4][0] & $st[$i][0][0]),
+                    $st[$i][3][1] ^ (~$st[$i][4][1] & $st[$i][0][1])
+                ];
+                $s[$i][4] = [
+                    $st[$i][4][0] ^ (~$st[$i][0][0] & $st[$i][1][0]),
+                    $st[$i][4][1] ^ (~$st[$i][0][1] & $st[$i][1][1])
+                ];
+            }
+
+            // iota step
+            $s[0][0][0]^= $roundConstants[$round][0];
+            $s[0][0][1]^= $roundConstants[$round][1];
+        }
+    }
+
+    /**
+     * Rotate 32-bit int
+     *
+     * @access private
+     * @param array $x
+     * @param int $shift
+     */
+    private static function rotateLeft32($x, $shift)
+    {
+        if ($shift < 32) {
+            list($hi, $lo) = $x;
+        } else {
+            $shift-= 32;
+            list($lo, $hi) = $x;
+        }
+
+        return [
+            ($hi << $shift) | (($lo >> (32 - $shift)) & (1 << $shift) - 1),
+            ($lo << $shift) | (($hi >> (32 - $shift)) & (1 << $shift) - 1)
+        ];
+    }
+
+    /**
+     * Pure-PHP 64-bit implementation of SHA3
+     *
+     * @access private
+     * @param string $p
+     * @param int $c
+     * @param int $r
+     * @param int $d
+     * @param int $padType
+     */
+    private static function sha3_64($p, $c, $r, $d, $padType)
+    {
+        $block_size = $r >> 3;
+        $padLength = $block_size - (strlen($p) % $block_size);
+        $num_ints = $block_size >> 2;
+
+        $p.= static::sha3_pad($padLength, $padType);
+
+        $n = strlen($p) / $r; // number of blocks
+
+        $s = [
+            [0, 0, 0, 0, 0],
+            [0, 0, 0, 0, 0],
+            [0, 0, 0, 0, 0],
+            [0, 0, 0, 0, 0],
+            [0, 0, 0, 0, 0]
+        ];
+
+        $p = str_split($p, $block_size);
+
+        foreach ($p as $pi) {
+            $pi = unpack('P*', $pi);
+            $x = $y = 0;
+            foreach ($pi as $subpi) {
+                $s[$x][$y++]^= $subpi;
+                if ($y == 5) {
+                    $y = 0;
+                    $x++;
+                }
+            }
+            static::processSHA3Block64($s);
+        }
+
+        $z = '';
+        $i = $j = 0;
+        while (strlen($z) < $d) {
+            $z.= pack('P', $s[$i][$j++]);
+            if ($j == 5) {
+                $j = 0;
+                $i++;
+                if ($i == 5) {
+                    $i = 0;
+                    static::processSHA3Block64($s);
+                }
+            }
+        }
+
+        return $z;
+    }
+
+    /**
+     * 64-bit block processing method for SHA3
+     *
+     * @access private
+     * @param array $s
+     */
+    private static function processSHA3Block64(&$s)
+    {
+        static $rotationOffsets = [
+            [ 0,  1, 62, 28, 27],
+            [36, 44,  6, 55, 20],
+            [ 3, 10, 43, 25, 39],
+            [41, 45, 15, 21,  8],
+            [18,  2, 61, 56, 14]
+        ];
+
+        static $roundConstants = [
+            1,
+            32898,
+            -9223372036854742902,
+            -9223372034707259392,
+            32907,
+            2147483649,
+            -9223372034707259263,
+            -9223372036854743031,
+            138,
+            136,
+            2147516425,
+            2147483658,
+            2147516555,
+            -9223372036854775669,
+            -9223372036854742903,
+            -9223372036854743037,
+            -9223372036854743038,
+            -9223372036854775680,
+            32778,
+            -9223372034707292150,
+            -9223372034707259263,
+            -9223372036854742912,
+            2147483649,
+            -9223372034707259384
+        ];
+
+        for ($round = 0; $round < 24; $round++) {
+            // theta step
+            $parity = [];
+            for ($i = 0; $i < 5; $i++) {
+                $parity[] = $s[0][$i] ^ $s[1][$i] ^ $s[2][$i] ^ $s[3][$i] ^ $s[4][$i];
+            }
+            $temp = [
+                $parity[4] ^ static::rotateLeft64($parity[1], 1),
+                $parity[0] ^ static::rotateLeft64($parity[2], 1),
+                $parity[1] ^ static::rotateLeft64($parity[3], 1),
+                $parity[2] ^ static::rotateLeft64($parity[4], 1),
+                $parity[3] ^ static::rotateLeft64($parity[0], 1)
+            ];
+            for ($i = 0; $i < 5; $i++) {
+                for ($j = 0; $j < 5; $j++) {
+                    $s[$i][$j]^= $temp[$j];
+                }
+            }
+
+            $st = $s;
+
+            // rho and pi steps
+            for ($i = 0; $i < 5; $i++) {
+                for ($j = 0; $j < 5; $j++) {
+                    $st[(2 * $i + 3 * $j) % 5][$j] = static::rotateLeft64($s[$j][$i], $rotationOffsets[$j][$i]);
+                }
+            }
+
+            // chi step
+            for ($i = 0; $i < 5; $i++) {
+                $s[$i] = [
+                    $st[$i][0] ^ (~$st[$i][1] & $st[$i][2]),
+                    $st[$i][1] ^ (~$st[$i][2] & $st[$i][3]),
+                    $st[$i][2] ^ (~$st[$i][3] & $st[$i][4]),
+                    $st[$i][3] ^ (~$st[$i][4] & $st[$i][0]),
+                    $st[$i][4] ^ (~$st[$i][0] & $st[$i][1])
+                ];
+            }
+
+            // iota step
+            $s[0][0]^= $roundConstants[$round];
+        }
+    }
+
+    /**
+     * Rotate 64-bit int
+     *
+     * @access private
+     * @param int $x
+     * @param int $shift
+     */
+    private static function rotateLeft64($x, $shift)
+    {
+        return ($x << $shift) | (($x >> (64 - $shift)) & ((1 << $shift) - 1));
+    }
+
+    /**
+     * Pure-PHP implementation of SHA512
+     *
+     * @access private
+     * @param string $m
+     * @param array $hash
+     * @return string
+     */
+    private static function sha512($m, $hash)
+    {
+        static $k;
+
+        if (!isset($k)) {
+            // Initialize table of round constants
+            // (first 64 bits of the fractional parts of the cube roots of the first 80 primes 2..409)
+            $k = [
+                '428a2f98d728ae22', '7137449123ef65cd', 'b5c0fbcfec4d3b2f', 'e9b5dba58189dbbc',
+                '3956c25bf348b538', '59f111f1b605d019', '923f82a4af194f9b', 'ab1c5ed5da6d8118',
+                'd807aa98a3030242', '12835b0145706fbe', '243185be4ee4b28c', '550c7dc3d5ffb4e2',
+                '72be5d74f27b896f', '80deb1fe3b1696b1', '9bdc06a725c71235', 'c19bf174cf692694',
+                'e49b69c19ef14ad2', 'efbe4786384f25e3', '0fc19dc68b8cd5b5', '240ca1cc77ac9c65',
+                '2de92c6f592b0275', '4a7484aa6ea6e483', '5cb0a9dcbd41fbd4', '76f988da831153b5',
+                '983e5152ee66dfab', 'a831c66d2db43210', 'b00327c898fb213f', 'bf597fc7beef0ee4',
+                'c6e00bf33da88fc2', 'd5a79147930aa725', '06ca6351e003826f', '142929670a0e6e70',
+                '27b70a8546d22ffc', '2e1b21385c26c926', '4d2c6dfc5ac42aed', '53380d139d95b3df',
+                '650a73548baf63de', '766a0abb3c77b2a8', '81c2c92e47edaee6', '92722c851482353b',
+                'a2bfe8a14cf10364', 'a81a664bbc423001', 'c24b8b70d0f89791', 'c76c51a30654be30',
+                'd192e819d6ef5218', 'd69906245565a910', 'f40e35855771202a', '106aa07032bbd1b8',
+                '19a4c116b8d2d0c8', '1e376c085141ab53', '2748774cdf8eeb99', '34b0bcb5e19b48a8',
+                '391c0cb3c5c95a63', '4ed8aa4ae3418acb', '5b9cca4f7763e373', '682e6ff3d6b2b8a3',
+                '748f82ee5defb2fc', '78a5636f43172f60', '84c87814a1f0ab72', '8cc702081a6439ec',
+                '90befffa23631e28', 'a4506cebde82bde9', 'bef9a3f7b2c67915', 'c67178f2e372532b',
+                'ca273eceea26619c', 'd186b8c721c0c207', 'eada7dd6cde0eb1e', 'f57d4f7fee6ed178',
+                '06f067aa72176fba', '0a637dc5a2c898a6', '113f9804bef90dae', '1b710b35131c471b',
+                '28db77f523047d84', '32caab7b40c72493', '3c9ebe0a15c9bebc', '431d67c49c100d4c',
+                '4cc5d4becb3e42b6', '597f299cfc657e2a', '5fcb6fab3ad6faec', '6c44198c4a475817'
+            ];
+
+            for ($i = 0; $i < 80; $i++) {
+                $k[$i] = new BigInteger($k[$i], 16);
+            }
+        }
+
+        // Pre-processing
+        $length = strlen($m);
+        // to round to nearest 112 mod 128, we'll add 128 - (length + (128 - 112)) % 128
+        $m.= str_repeat(chr(0), 128 - (($length + 16) & 0x7F));
+        $m[$length] = chr(0x80);
+        // we don't support hashing strings 512MB long
+        $m.= pack('N4', 0, 0, 0, $length << 3);
+
+        // Process the message in successive 1024-bit chunks
+        $chunks = str_split($m, 128);
+        foreach ($chunks as $chunk) {
+            $w = [];
+            for ($i = 0; $i < 16; $i++) {
+                $temp = new BigInteger(Strings::shift($chunk, 8), 256);
+                $temp->setPrecision(64);
+                $w[] = $temp;
+            }
+
+            // Extend the sixteen 32-bit words into eighty 32-bit words
+            for ($i = 16; $i < 80; $i++) {
+                $temp = [
+                          $w[$i - 15]->bitwise_rightRotate(1),
+                          $w[$i - 15]->bitwise_rightRotate(8),
+                          $w[$i - 15]->bitwise_rightShift(7)
+                ];
+                $s0 = $temp[0]->bitwise_xor($temp[1]);
+                $s0 = $s0->bitwise_xor($temp[2]);
+                $temp = [
+                          $w[$i - 2]->bitwise_rightRotate(19),
+                          $w[$i - 2]->bitwise_rightRotate(61),
+                          $w[$i - 2]->bitwise_rightShift(6)
+                ];
+                $s1 = $temp[0]->bitwise_xor($temp[1]);
+                $s1 = $s1->bitwise_xor($temp[2]);
+                $w[$i] = clone $w[$i - 16];
+                $w[$i] = $w[$i]->add($s0);
+                $w[$i] = $w[$i]->add($w[$i - 7]);
+                $w[$i] = $w[$i]->add($s1);
+            }
+
+            // Initialize hash value for this chunk
+            $a = clone $hash[0];
+            $b = clone $hash[1];
+            $c = clone $hash[2];
+            $d = clone $hash[3];
+            $e = clone $hash[4];
+            $f = clone $hash[5];
+            $g = clone $hash[6];
+            $h = clone $hash[7];
+
+            // Main loop
+            for ($i = 0; $i < 80; $i++) {
+                $temp = [
+                    $a->bitwise_rightRotate(28),
+                    $a->bitwise_rightRotate(34),
+                    $a->bitwise_rightRotate(39)
+                ];
+                $s0 = $temp[0]->bitwise_xor($temp[1]);
+                $s0 = $s0->bitwise_xor($temp[2]);
+                $temp = [
+                    $a->bitwise_and($b),
+                    $a->bitwise_and($c),
+                    $b->bitwise_and($c)
+                ];
+                $maj = $temp[0]->bitwise_xor($temp[1]);
+                $maj = $maj->bitwise_xor($temp[2]);
+                $t2 = $s0->add($maj);
+
+                $temp = [
+                    $e->bitwise_rightRotate(14),
+                    $e->bitwise_rightRotate(18),
+                    $e->bitwise_rightRotate(41)
+                ];
+                $s1 = $temp[0]->bitwise_xor($temp[1]);
+                $s1 = $s1->bitwise_xor($temp[2]);
+                $temp = [
+                    $e->bitwise_and($f),
+                    $g->bitwise_and($e->bitwise_not())
+                ];
+                $ch = $temp[0]->bitwise_xor($temp[1]);
+                $t1 = $h->add($s1);
+                $t1 = $t1->add($ch);
+                $t1 = $t1->add($k[$i]);
+                $t1 = $t1->add($w[$i]);
+
+                $h = clone $g;
+                $g = clone $f;
+                $f = clone $e;
+                $e = $d->add($t1);
+                $d = clone $c;
+                $c = clone $b;
+                $b = clone $a;
+                $a = $t1->add($t2);
+            }
+
+            // Add this chunk's hash to result so far
+            $hash = [
+                $hash[0]->add($a),
+                $hash[1]->add($b),
+                $hash[2]->add($c),
+                $hash[3]->add($d),
+                $hash[4]->add($e),
+                $hash[5]->add($f),
+                $hash[6]->add($g),
+                $hash[7]->add($h)
+            ];
+        }
+
+        // Produce the final hash value (big-endian)
+        // (\phpseclib3\Crypt\Hash::hash() trims the output for hashes but not for HMACs.  as such, we trim the output here)
+        $temp = $hash[0]->toBytes() . $hash[1]->toBytes() . $hash[2]->toBytes() . $hash[3]->toBytes() .
+                $hash[4]->toBytes() . $hash[5]->toBytes() . $hash[6]->toBytes() . $hash[7]->toBytes();
+
+        return $temp;
+    }
+
+    /**
+     *  __toString() magic method
+     */
+    public function __toString()
+    {
+        return $this->getHash();
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/PublicKeyLoader.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/PublicKeyLoader.php
new file mode 100644
index 000000000..c7c7e0af4
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/PublicKeyLoader.php
@@ -0,0 +1,64 @@
+<?php
+
+/**
+ * PublicKeyLoader
+ *
+ * Returns a PublicKey or PrivateKey object.
+ *
+ * @category  Crypt
+ * @package   PublicKeyLoader
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2009 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt;
+
+use phpseclib3\Crypt\Common\AsymmetricKey;
+use phpseclib3\Exception\NoKeyLoadedException;
+use phpseclib3\File\X509;
+
+/**
+ * PublicKeyLoader
+ *
+ * @package Common
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PublicKeyLoader
+{
+    /**
+     * Loads a public or private key
+     *
+     * @return AsymmetricKey
+     * @access public
+     * @param string|array $key
+     * @param string $password optional
+     */
+    public static function load($key, $password = false)
+    {
+        try {
+            return EC::load($key, $password);
+        } catch (NoKeyLoadedException $e) {}
+
+        try {
+            return RSA::load($key, $password);
+        } catch (NoKeyLoadedException $e) {}
+
+        try {
+            return DSA::load($key, $password);
+        } catch (NoKeyLoadedException $e) {}
+
+        try {
+            $x509 = new X509();
+            $x509->loadX509($key);
+            $key = $x509->getPublicKey();
+            if ($key) {
+                return $key;
+            }
+        } catch (\Exception $e) {}
+
+        throw new NoKeyLoadedException('Unable to read key');
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/RC2.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RC2.php
new file mode 100644
index 000000000..813eeca45
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RC2.php
@@ -0,0 +1,669 @@
+<?php
+
+/**
+ * Pure-PHP implementation of RC2.
+ *
+ * Uses mcrypt, if available, and an internal implementation, otherwise.
+ *
+ * PHP version 5
+ *
+ * Useful resources are as follows:
+ *
+ *  - {@link http://tools.ietf.org/html/rfc2268}
+ *
+ * Here's a short example of how to use this library:
+ * <code>
+ * <?php
+ *    include 'vendor/autoload.php';
+ *
+ *    $rc2 = new \phpseclib3\Crypt\RC2();
+ *
+ *    $rc2->setKey('abcdefgh');
+ *
+ *    $plaintext = str_repeat('a', 1024);
+ *
+ *    echo $rc2->decrypt($rc2->encrypt($plaintext));
+ * ?>
+ * </code>
+ *
+ * @category Crypt
+ * @package  RC2
+ * @author   Patrick Monnerat <pm@datasphere.ch>
+ * @license  http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link     http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt;
+
+use phpseclib3\Crypt\Common\BlockCipher;
+use phpseclib3\Exception\BadModeException;
+
+/**
+ * Pure-PHP implementation of RC2.
+ *
+ * @package RC2
+ * @access  public
+ */
+class RC2 extends BlockCipher
+{
+    /**
+     * Block Length of the cipher
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::block_size
+     * @var int
+     * @access private
+     */
+    protected $block_size = 8;
+
+    /**
+     * The Key
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::key
+     * @see self::setKey()
+     * @var string
+     * @access private
+     */
+    protected $key;
+
+    /**
+     * The Original (unpadded) Key
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::key
+     * @see self::setKey()
+     * @see self::encrypt()
+     * @see self::decrypt()
+     * @var string
+     * @access private
+     */
+    private $orig_key;
+
+    /**
+     * Don't truncate / null pad key
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::clearBuffers()
+     * @var bool
+     * @access private
+     */
+    private $skip_key_adjustment = true;
+
+    /**
+     * Key Length (in bytes)
+     *
+     * @see \phpseclib3\Crypt\RC2::setKeyLength()
+     * @var int
+     * @access private
+     */
+    protected $key_length = 16; // = 128 bits
+
+    /**
+     * The mcrypt specific name of the cipher
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::cipher_name_mcrypt
+     * @var string
+     * @access private
+     */
+    protected $cipher_name_mcrypt = 'rc2';
+
+    /**
+     * Optimizing value while CFB-encrypting
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::cfb_init_len
+     * @var int
+     * @access private
+     */
+    protected $cfb_init_len = 500;
+
+    /**
+     * The key length in bits.
+     *
+     * {@internal Should be in range [1..1024].}
+     *
+     * {@internal Changing this value after setting the key has no effect.}
+     *
+     * @see self::setKeyLength()
+     * @see self::setKey()
+     * @var int
+     * @access private
+     */
+    private $default_key_length = 1024;
+
+    /**
+     * The key length in bits.
+     *
+     * {@internal Should be in range [1..1024].}
+     *
+     * @see self::isValidEnine()
+     * @see self::setKey()
+     * @var int
+     * @access private
+     */
+    private $current_key_length;
+
+    /**
+     * The Key Schedule
+     *
+     * @see self::setupKey()
+     * @var array
+     * @access private
+     */
+    private $keys;
+
+    /**
+     * Key expansion randomization table.
+     * Twice the same 256-value sequence to save a modulus in key expansion.
+     *
+     * @see self::setKey()
+     * @var array
+     * @access private
+     */
+    private static $pitable = [
+        0xD9, 0x78, 0xF9, 0xC4, 0x19, 0xDD, 0xB5, 0xED,
+        0x28, 0xE9, 0xFD, 0x79, 0x4A, 0xA0, 0xD8, 0x9D,
+        0xC6, 0x7E, 0x37, 0x83, 0x2B, 0x76, 0x53, 0x8E,
+        0x62, 0x4C, 0x64, 0x88, 0x44, 0x8B, 0xFB, 0xA2,
+        0x17, 0x9A, 0x59, 0xF5, 0x87, 0xB3, 0x4F, 0x13,
+        0x61, 0x45, 0x6D, 0x8D, 0x09, 0x81, 0x7D, 0x32,
+        0xBD, 0x8F, 0x40, 0xEB, 0x86, 0xB7, 0x7B, 0x0B,
+        0xF0, 0x95, 0x21, 0x22, 0x5C, 0x6B, 0x4E, 0x82,
+        0x54, 0xD6, 0x65, 0x93, 0xCE, 0x60, 0xB2, 0x1C,
+        0x73, 0x56, 0xC0, 0x14, 0xA7, 0x8C, 0xF1, 0xDC,
+        0x12, 0x75, 0xCA, 0x1F, 0x3B, 0xBE, 0xE4, 0xD1,
+        0x42, 0x3D, 0xD4, 0x30, 0xA3, 0x3C, 0xB6, 0x26,
+        0x6F, 0xBF, 0x0E, 0xDA, 0x46, 0x69, 0x07, 0x57,
+        0x27, 0xF2, 0x1D, 0x9B, 0xBC, 0x94, 0x43, 0x03,
+        0xF8, 0x11, 0xC7, 0xF6, 0x90, 0xEF, 0x3E, 0xE7,
+        0x06, 0xC3, 0xD5, 0x2F, 0xC8, 0x66, 0x1E, 0xD7,
+        0x08, 0xE8, 0xEA, 0xDE, 0x80, 0x52, 0xEE, 0xF7,
+        0x84, 0xAA, 0x72, 0xAC, 0x35, 0x4D, 0x6A, 0x2A,
+        0x96, 0x1A, 0xD2, 0x71, 0x5A, 0x15, 0x49, 0x74,
+        0x4B, 0x9F, 0xD0, 0x5E, 0x04, 0x18, 0xA4, 0xEC,
+        0xC2, 0xE0, 0x41, 0x6E, 0x0F, 0x51, 0xCB, 0xCC,
+        0x24, 0x91, 0xAF, 0x50, 0xA1, 0xF4, 0x70, 0x39,
+        0x99, 0x7C, 0x3A, 0x85, 0x23, 0xB8, 0xB4, 0x7A,
+        0xFC, 0x02, 0x36, 0x5B, 0x25, 0x55, 0x97, 0x31,
+        0x2D, 0x5D, 0xFA, 0x98, 0xE3, 0x8A, 0x92, 0xAE,
+        0x05, 0xDF, 0x29, 0x10, 0x67, 0x6C, 0xBA, 0xC9,
+        0xD3, 0x00, 0xE6, 0xCF, 0xE1, 0x9E, 0xA8, 0x2C,
+        0x63, 0x16, 0x01, 0x3F, 0x58, 0xE2, 0x89, 0xA9,
+        0x0D, 0x38, 0x34, 0x1B, 0xAB, 0x33, 0xFF, 0xB0,
+        0xBB, 0x48, 0x0C, 0x5F, 0xB9, 0xB1, 0xCD, 0x2E,
+        0xC5, 0xF3, 0xDB, 0x47, 0xE5, 0xA5, 0x9C, 0x77,
+        0x0A, 0xA6, 0x20, 0x68, 0xFE, 0x7F, 0xC1, 0xAD,
+        0xD9, 0x78, 0xF9, 0xC4, 0x19, 0xDD, 0xB5, 0xED,
+        0x28, 0xE9, 0xFD, 0x79, 0x4A, 0xA0, 0xD8, 0x9D,
+        0xC6, 0x7E, 0x37, 0x83, 0x2B, 0x76, 0x53, 0x8E,
+        0x62, 0x4C, 0x64, 0x88, 0x44, 0x8B, 0xFB, 0xA2,
+        0x17, 0x9A, 0x59, 0xF5, 0x87, 0xB3, 0x4F, 0x13,
+        0x61, 0x45, 0x6D, 0x8D, 0x09, 0x81, 0x7D, 0x32,
+        0xBD, 0x8F, 0x40, 0xEB, 0x86, 0xB7, 0x7B, 0x0B,
+        0xF0, 0x95, 0x21, 0x22, 0x5C, 0x6B, 0x4E, 0x82,
+        0x54, 0xD6, 0x65, 0x93, 0xCE, 0x60, 0xB2, 0x1C,
+        0x73, 0x56, 0xC0, 0x14, 0xA7, 0x8C, 0xF1, 0xDC,
+        0x12, 0x75, 0xCA, 0x1F, 0x3B, 0xBE, 0xE4, 0xD1,
+        0x42, 0x3D, 0xD4, 0x30, 0xA3, 0x3C, 0xB6, 0x26,
+        0x6F, 0xBF, 0x0E, 0xDA, 0x46, 0x69, 0x07, 0x57,
+        0x27, 0xF2, 0x1D, 0x9B, 0xBC, 0x94, 0x43, 0x03,
+        0xF8, 0x11, 0xC7, 0xF6, 0x90, 0xEF, 0x3E, 0xE7,
+        0x06, 0xC3, 0xD5, 0x2F, 0xC8, 0x66, 0x1E, 0xD7,
+        0x08, 0xE8, 0xEA, 0xDE, 0x80, 0x52, 0xEE, 0xF7,
+        0x84, 0xAA, 0x72, 0xAC, 0x35, 0x4D, 0x6A, 0x2A,
+        0x96, 0x1A, 0xD2, 0x71, 0x5A, 0x15, 0x49, 0x74,
+        0x4B, 0x9F, 0xD0, 0x5E, 0x04, 0x18, 0xA4, 0xEC,
+        0xC2, 0xE0, 0x41, 0x6E, 0x0F, 0x51, 0xCB, 0xCC,
+        0x24, 0x91, 0xAF, 0x50, 0xA1, 0xF4, 0x70, 0x39,
+        0x99, 0x7C, 0x3A, 0x85, 0x23, 0xB8, 0xB4, 0x7A,
+        0xFC, 0x02, 0x36, 0x5B, 0x25, 0x55, 0x97, 0x31,
+        0x2D, 0x5D, 0xFA, 0x98, 0xE3, 0x8A, 0x92, 0xAE,
+        0x05, 0xDF, 0x29, 0x10, 0x67, 0x6C, 0xBA, 0xC9,
+        0xD3, 0x00, 0xE6, 0xCF, 0xE1, 0x9E, 0xA8, 0x2C,
+        0x63, 0x16, 0x01, 0x3F, 0x58, 0xE2, 0x89, 0xA9,
+        0x0D, 0x38, 0x34, 0x1B, 0xAB, 0x33, 0xFF, 0xB0,
+        0xBB, 0x48, 0x0C, 0x5F, 0xB9, 0xB1, 0xCD, 0x2E,
+        0xC5, 0xF3, 0xDB, 0x47, 0xE5, 0xA5, 0x9C, 0x77,
+        0x0A, 0xA6, 0x20, 0x68, 0xFE, 0x7F, 0xC1, 0xAD
+    ];
+
+    /**
+     * Inverse key expansion randomization table.
+     *
+     * @see self::setKey()
+     * @var array
+     * @access private
+     */
+    private static $invpitable = [
+        0xD1, 0xDA, 0xB9, 0x6F, 0x9C, 0xC8, 0x78, 0x66,
+        0x80, 0x2C, 0xF8, 0x37, 0xEA, 0xE0, 0x62, 0xA4,
+        0xCB, 0x71, 0x50, 0x27, 0x4B, 0x95, 0xD9, 0x20,
+        0x9D, 0x04, 0x91, 0xE3, 0x47, 0x6A, 0x7E, 0x53,
+        0xFA, 0x3A, 0x3B, 0xB4, 0xA8, 0xBC, 0x5F, 0x68,
+        0x08, 0xCA, 0x8F, 0x14, 0xD7, 0xC0, 0xEF, 0x7B,
+        0x5B, 0xBF, 0x2F, 0xE5, 0xE2, 0x8C, 0xBA, 0x12,
+        0xE1, 0xAF, 0xB2, 0x54, 0x5D, 0x59, 0x76, 0xDB,
+        0x32, 0xA2, 0x58, 0x6E, 0x1C, 0x29, 0x64, 0xF3,
+        0xE9, 0x96, 0x0C, 0x98, 0x19, 0x8D, 0x3E, 0x26,
+        0xAB, 0xA5, 0x85, 0x16, 0x40, 0xBD, 0x49, 0x67,
+        0xDC, 0x22, 0x94, 0xBB, 0x3C, 0xC1, 0x9B, 0xEB,
+        0x45, 0x28, 0x18, 0xD8, 0x1A, 0x42, 0x7D, 0xCC,
+        0xFB, 0x65, 0x8E, 0x3D, 0xCD, 0x2A, 0xA3, 0x60,
+        0xAE, 0x93, 0x8A, 0x48, 0x97, 0x51, 0x15, 0xF7,
+        0x01, 0x0B, 0xB7, 0x36, 0xB1, 0x2E, 0x11, 0xFD,
+        0x84, 0x2D, 0x3F, 0x13, 0x88, 0xB3, 0x34, 0x24,
+        0x1B, 0xDE, 0xC5, 0x1D, 0x4D, 0x2B, 0x17, 0x31,
+        0x74, 0xA9, 0xC6, 0x43, 0x6D, 0x39, 0x90, 0xBE,
+        0xC3, 0xB0, 0x21, 0x6B, 0xF6, 0x0F, 0xD5, 0x99,
+        0x0D, 0xAC, 0x1F, 0x5C, 0x9E, 0xF5, 0xF9, 0x4C,
+        0xD6, 0xDF, 0x89, 0xE4, 0x8B, 0xFF, 0xC7, 0xAA,
+        0xE7, 0xED, 0x46, 0x25, 0xB6, 0x06, 0x5E, 0x35,
+        0xB5, 0xEC, 0xCE, 0xE8, 0x6C, 0x30, 0x55, 0x61,
+        0x4A, 0xFE, 0xA0, 0x79, 0x03, 0xF0, 0x10, 0x72,
+        0x7C, 0xCF, 0x52, 0xA6, 0xA7, 0xEE, 0x44, 0xD3,
+        0x9A, 0x57, 0x92, 0xD0, 0x5A, 0x7A, 0x41, 0x7F,
+        0x0E, 0x00, 0x63, 0xF2, 0x4F, 0x05, 0x83, 0xC9,
+        0xA1, 0xD4, 0xDD, 0xC4, 0x56, 0xF4, 0xD2, 0x77,
+        0x81, 0x09, 0x82, 0x33, 0x9F, 0x07, 0x86, 0x75,
+        0x38, 0x4E, 0x69, 0xF1, 0xAD, 0x23, 0x73, 0x87,
+        0x70, 0x02, 0xC2, 0x1E, 0xB8, 0x0A, 0xFC, 0xE6
+    ];
+
+    /**
+     * Default Constructor.
+     *
+     * @param string $mode
+     * @access public
+     * @throws \InvalidArgumentException if an invalid / unsupported mode is provided
+     */
+    public function __construct($mode)
+    {
+        parent::__construct($mode);
+
+        if ($this->mode == self::MODE_STREAM) {
+            throw new BadModeException('Block ciphers cannot be ran in stream mode');
+        }
+    }
+
+    /**
+     * Test for engine validity
+     *
+     * This is mainly just a wrapper to set things up for \phpseclib3\Crypt\Common\SymmetricKey::isValidEngine()
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::__construct()
+     * @param int $engine
+     * @access protected
+     * @return bool
+     */
+    protected function isValidEngineHelper($engine)
+    {
+        switch ($engine) {
+            case self::ENGINE_OPENSSL:
+                if ($this->current_key_length != 128 || strlen($this->orig_key) < 16) {
+                    return false;
+                }
+                self::$cipher_name_openssl_ecb = 'rc2-ecb';
+                $this->cipher_name_openssl = 'rc2-' . $this->openssl_translate_mode();
+        }
+
+        return parent::isValidEngineHelper($engine);
+    }
+
+    /**
+     * Sets the key length.
+     *
+     * Valid key lengths are 8 to 1024.
+     * Calling this function after setting the key has no effect until the next
+     *  \phpseclib3\Crypt\RC2::setKey() call.
+     *
+     * @access public
+     * @param int $length in bits
+     * @throws \LengthException if the key length isn't supported
+     */
+    public function setKeyLength($length)
+    {
+        if ($length < 8 || $length > 1024) {
+            throw new \LengthException('Key size of ' . $length . ' bits is not supported by this algorithm. Only keys between 1 and 1024 bits, inclusive, are supported');
+        }
+
+        $this->default_key_length = $this->current_key_length = $length;
+        $this->explicit_key_length = $length >> 3;
+    }
+
+    /**
+     * Returns the current key length
+     *
+     * @access public
+     * @return int
+     */
+    public function getKeyLength()
+    {
+        return $this->current_key_length;
+    }
+
+    /**
+     * Sets the key.
+     *
+     * Keys can be of any length. RC2, itself, uses 8 to 1024 bit keys (eg.
+     * strlen($key) <= 128), however, we only use the first 128 bytes if $key
+     * has more then 128 bytes in it, and set $key to a single null byte if
+     * it is empty.
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::setKey()
+     * @access public
+     * @param string $key
+     * @param int|boolean $t1 optional Effective key length in bits.
+     * @throws \LengthException if the key length isn't supported
+     */
+    public function setKey($key, $t1 = false)
+    {
+        $this->orig_key = $key;
+
+        if ($t1 === false) {
+            $t1 = $this->default_key_length;
+        }
+
+        if ($t1 < 1 || $t1 > 1024) {
+            throw new \LengthException('Key size of ' . $length . ' bits is not supported by this algorithm. Only keys between 1 and 1024 bits, inclusive, are supported');
+        }
+
+        $this->current_key_length = $t1;
+        if (strlen($key) < 1 || strlen($key) > 128) {
+            throw new \LengthException('Key of size ' . strlen($key) . ' not supported by this algorithm. Only keys of sizes between 8 and 1024 bits, inclusive, are supported');
+        }
+
+        $t = strlen($key);
+
+        // The mcrypt RC2 implementation only supports effective key length
+        // of 1024 bits. It is however possible to handle effective key
+        // lengths in range 1..1024 by expanding the key and applying
+        // inverse pitable mapping to the first byte before submitting it
+        // to mcrypt.
+
+        // Key expansion.
+        $l = array_values(unpack('C*', $key));
+        $t8 = ($t1 + 7) >> 3;
+        $tm = 0xFF >> (8 * $t8 - $t1);
+
+        // Expand key.
+        $pitable = self::$pitable;
+        for ($i = $t; $i < 128; $i++) {
+            $l[$i] = $pitable[$l[$i - 1] + $l[$i - $t]];
+        }
+        $i = 128 - $t8;
+        $l[$i] = $pitable[$l[$i] & $tm];
+        while ($i--) {
+            $l[$i] = $pitable[$l[$i + 1] ^ $l[$i + $t8]];
+        }
+
+        // Prepare the key for mcrypt.
+        $l[0] = self::$invpitable[$l[0]];
+        array_unshift($l, 'C*');
+
+        $this->key = pack(...$l);
+        $this->key_length = strlen($this->key);
+        $this->changed = $this->nonIVChanged = true;
+        $this->setEngine();
+    }
+
+    /**
+     * Encrypts a message.
+     *
+     * Mostly a wrapper for \phpseclib3\Crypt\Common\SymmetricKey::encrypt, with some additional OpenSSL handling code
+     *
+     * @see self::decrypt()
+     * @access public
+     * @param string $plaintext
+     * @return string $ciphertext
+     */
+    public function encrypt($plaintext)
+    {
+        if ($this->engine == self::ENGINE_OPENSSL) {
+            $temp = $this->key;
+            $this->key = $this->orig_key;
+            $result = parent::encrypt($plaintext);
+            $this->key = $temp;
+            return $result;
+        }
+
+        return parent::encrypt($plaintext);
+    }
+
+    /**
+     * Decrypts a message.
+     *
+     * Mostly a wrapper for \phpseclib3\Crypt\Common\SymmetricKey::decrypt, with some additional OpenSSL handling code
+     *
+     * @see self::encrypt()
+     * @access public
+     * @param string $ciphertext
+     * @return string $plaintext
+     */
+    public function decrypt($ciphertext)
+    {
+        if ($this->engine == self::ENGINE_OPENSSL) {
+            $temp = $this->key;
+            $this->key = $this->orig_key;
+            $result = parent::decrypt($ciphertext);
+            $this->key = $temp;
+            return $result;
+        }
+
+        return parent::decrypt($ciphertext);
+    }
+
+    /**
+     * Encrypts a block
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::encryptBlock()
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::encrypt()
+     * @access private
+     * @param string $in
+     * @return string
+     */
+    protected function encryptBlock($in)
+    {
+        list($r0, $r1, $r2, $r3) = array_values(unpack('v*', $in));
+        $keys = $this->keys;
+        $limit = 20;
+        $actions = [$limit => 44, 44 => 64];
+        $j = 0;
+
+        for (;;) {
+            // Mixing round.
+            $r0 = (($r0 + $keys[$j++] + ((($r1 ^ $r2) & $r3) ^ $r1)) & 0xFFFF) << 1;
+            $r0 |= $r0 >> 16;
+            $r1 = (($r1 + $keys[$j++] + ((($r2 ^ $r3) & $r0) ^ $r2)) & 0xFFFF) << 2;
+            $r1 |= $r1 >> 16;
+            $r2 = (($r2 + $keys[$j++] + ((($r3 ^ $r0) & $r1) ^ $r3)) & 0xFFFF) << 3;
+            $r2 |= $r2 >> 16;
+            $r3 = (($r3 + $keys[$j++] + ((($r0 ^ $r1) & $r2) ^ $r0)) & 0xFFFF) << 5;
+            $r3 |= $r3 >> 16;
+
+            if ($j === $limit) {
+                if ($limit === 64) {
+                    break;
+                }
+
+                // Mashing round.
+                $r0 += $keys[$r3 & 0x3F];
+                $r1 += $keys[$r0 & 0x3F];
+                $r2 += $keys[$r1 & 0x3F];
+                $r3 += $keys[$r2 & 0x3F];
+                $limit = $actions[$limit];
+            }
+        }
+
+        return pack('vvvv', $r0, $r1, $r2, $r3);
+    }
+
+    /**
+     * Decrypts a block
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::decryptBlock()
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::decrypt()
+     * @access private
+     * @param string $in
+     * @return string
+     */
+    protected function decryptBlock($in)
+    {
+        list($r0, $r1, $r2, $r3) = array_values(unpack('v*', $in));
+        $keys = $this->keys;
+        $limit = 44;
+        $actions = [$limit => 20, 20 => 0];
+        $j = 64;
+
+        for (;;) {
+            // R-mixing round.
+            $r3 = ($r3 | ($r3 << 16)) >> 5;
+            $r3 = ($r3 - $keys[--$j] - ((($r0 ^ $r1) & $r2) ^ $r0)) & 0xFFFF;
+            $r2 = ($r2 | ($r2 << 16)) >> 3;
+            $r2 = ($r2 - $keys[--$j] - ((($r3 ^ $r0) & $r1) ^ $r3)) & 0xFFFF;
+            $r1 = ($r1 | ($r1 << 16)) >> 2;
+            $r1 = ($r1 - $keys[--$j] - ((($r2 ^ $r3) & $r0) ^ $r2)) & 0xFFFF;
+            $r0 = ($r0 | ($r0 << 16)) >> 1;
+            $r0 = ($r0 - $keys[--$j] - ((($r1 ^ $r2) & $r3) ^ $r1)) & 0xFFFF;
+
+            if ($j === $limit) {
+                if ($limit === 0) {
+                    break;
+                }
+
+                // R-mashing round.
+                $r3 = ($r3 - $keys[$r2 & 0x3F]) & 0xFFFF;
+                $r2 = ($r2 - $keys[$r1 & 0x3F]) & 0xFFFF;
+                $r1 = ($r1 - $keys[$r0 & 0x3F]) & 0xFFFF;
+                $r0 = ($r0 - $keys[$r3 & 0x3F]) & 0xFFFF;
+                $limit = $actions[$limit];
+            }
+        }
+
+        return pack('vvvv', $r0, $r1, $r2, $r3);
+    }
+
+    /**
+     * Creates the key schedule
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::setupKey()
+     * @access private
+     */
+    protected function setupKey()
+    {
+        if (!isset($this->key)) {
+            $this->setKey('');
+        }
+
+        // Key has already been expanded in \phpseclib3\Crypt\RC2::setKey():
+        // Only the first value must be altered.
+        $l = unpack('Ca/Cb/v*', $this->key);
+        array_unshift($l, self::$pitable[$l['a']] | ($l['b'] << 8));
+        unset($l['a']);
+        unset($l['b']);
+        $this->keys = $l;
+    }
+
+    /**
+     * Setup the performance-optimized function for de/encrypt()
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::setupInlineCrypt()
+     * @access private
+     */
+    protected function setupInlineCrypt()
+    {
+        // Init code for both, encrypt and decrypt.
+        $init_crypt = '$keys = $this->keys;';
+
+        $keys = $this->keys;
+
+        // $in is the current 8 bytes block which has to be en/decrypt
+        $encrypt_block = $decrypt_block = '
+            $in = unpack("v4", $in);
+            $r0 = $in[1];
+            $r1 = $in[2];
+            $r2 = $in[3];
+            $r3 = $in[4];
+        ';
+
+        // Create code for encryption.
+        $limit = 20;
+        $actions = [$limit => 44, 44 => 64];
+        $j = 0;
+
+        for (;;) {
+            // Mixing round.
+            $encrypt_block .= '
+                $r0 = (($r0 + ' . $keys[$j++] . ' +
+                       ((($r1 ^ $r2) & $r3) ^ $r1)) & 0xFFFF) << 1;
+                $r0 |= $r0 >> 16;
+                $r1 = (($r1 + ' . $keys[$j++] . ' +
+                       ((($r2 ^ $r3) & $r0) ^ $r2)) & 0xFFFF) << 2;
+                $r1 |= $r1 >> 16;
+                $r2 = (($r2 + ' . $keys[$j++] . ' +
+                       ((($r3 ^ $r0) & $r1) ^ $r3)) & 0xFFFF) << 3;
+                $r2 |= $r2 >> 16;
+                $r3 = (($r3 + ' . $keys[$j++] . ' +
+                       ((($r0 ^ $r1) & $r2) ^ $r0)) & 0xFFFF) << 5;
+                $r3 |= $r3 >> 16;';
+
+            if ($j === $limit) {
+                if ($limit === 64) {
+                    break;
+                }
+
+                // Mashing round.
+                $encrypt_block .= '
+                    $r0 += $keys[$r3 & 0x3F];
+                    $r1 += $keys[$r0 & 0x3F];
+                    $r2 += $keys[$r1 & 0x3F];
+                    $r3 += $keys[$r2 & 0x3F];';
+                $limit = $actions[$limit];
+            }
+         }
+
+        $encrypt_block .= '$in = pack("v4", $r0, $r1, $r2, $r3);';
+
+        // Create code for decryption.
+        $limit = 44;
+        $actions = [$limit => 20, 20 => 0];
+        $j = 64;
+
+        for (;;) {
+            // R-mixing round.
+            $decrypt_block .= '
+                $r3 = ($r3 | ($r3 << 16)) >> 5;
+                $r3 = ($r3 - ' . $keys[--$j] . ' -
+                       ((($r0 ^ $r1) & $r2) ^ $r0)) & 0xFFFF;
+                $r2 = ($r2 | ($r2 << 16)) >> 3;
+                $r2 = ($r2 - ' . $keys[--$j] . ' -
+                       ((($r3 ^ $r0) & $r1) ^ $r3)) & 0xFFFF;
+                $r1 = ($r1 | ($r1 << 16)) >> 2;
+                $r1 = ($r1 - ' . $keys[--$j] . ' -
+                       ((($r2 ^ $r3) & $r0) ^ $r2)) & 0xFFFF;
+                $r0 = ($r0 | ($r0 << 16)) >> 1;
+                $r0 = ($r0 - ' . $keys[--$j] . ' -
+                       ((($r1 ^ $r2) & $r3) ^ $r1)) & 0xFFFF;';
+
+            if ($j === $limit) {
+                if ($limit === 0) {
+                    break;
+                }
+
+                // R-mashing round.
+                $decrypt_block .= '
+                    $r3 = ($r3 - $keys[$r2 & 0x3F]) & 0xFFFF;
+                    $r2 = ($r2 - $keys[$r1 & 0x3F]) & 0xFFFF;
+                    $r1 = ($r1 - $keys[$r0 & 0x3F]) & 0xFFFF;
+                    $r0 = ($r0 - $keys[$r3 & 0x3F]) & 0xFFFF;';
+                $limit = $actions[$limit];
+            }
+        }
+
+        $decrypt_block .= '$in = pack("v4", $r0, $r1, $r2, $r3);';
+
+        // Creates the inline-crypt function
+        $this->inline_crypt = $this->createInlineCryptFunction(
+            [
+               'init_crypt'    => $init_crypt,
+               'encrypt_block' => $encrypt_block,
+               'decrypt_block' => $decrypt_block
+            ]
+        );
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/RC4.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RC4.php
new file mode 100644
index 000000000..d2d3a71c0
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RC4.php
@@ -0,0 +1,309 @@
+<?php
+
+/**
+ * Pure-PHP implementation of RC4.
+ *
+ * Uses mcrypt, if available, and an internal implementation, otherwise.
+ *
+ * PHP version 5
+ *
+ * Useful resources are as follows:
+ *
+ *  - {@link http://www.mozilla.org/projects/security/pki/nss/draft-kaukonen-cipher-arcfour-03.txt ARCFOUR Algorithm}
+ *  - {@link http://en.wikipedia.org/wiki/RC4 - Wikipedia: RC4}
+ *
+ * RC4 is also known as ARCFOUR or ARC4.  The reason is elaborated upon at Wikipedia.  This class is named RC4 and not
+ * ARCFOUR or ARC4 because RC4 is how it is referred to in the SSH1 specification.
+ *
+ * Here's a short example of how to use this library:
+ * <code>
+ * <?php
+ *    include 'vendor/autoload.php';
+ *
+ *    $rc4 = new \phpseclib3\Crypt\RC4();
+ *
+ *    $rc4->setKey('abcdefgh');
+ *
+ *    $size = 10 * 1024;
+ *    $plaintext = '';
+ *    for ($i = 0; $i < $size; $i++) {
+ *        $plaintext.= 'a';
+ *    }
+ *
+ *    echo $rc4->decrypt($rc4->encrypt($plaintext));
+ * ?>
+ * </code>
+ *
+ * @category  Crypt
+ * @package   RC4
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2007 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt;
+
+use phpseclib3\Crypt\Common\StreamCipher;
+
+/**
+ * Pure-PHP implementation of RC4.
+ *
+ * @package RC4
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class RC4 extends StreamCipher
+{
+    /**
+     * @access private
+     * @see \phpseclib3\Crypt\RC4::_crypt()
+     */
+    const ENCRYPT = 0;
+
+    /**
+     * @access private
+     * @see \phpseclib3\Crypt\RC4::_crypt()
+     */
+    const DECRYPT = 1;
+
+    /**
+     * Key Length (in bytes)
+     *
+     * @see \phpseclib3\Crypt\RC4::setKeyLength()
+     * @var int
+     * @access private
+     */
+    protected $key_length = 128; // = 1024 bits
+
+    /**
+     * The mcrypt specific name of the cipher
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::cipher_name_mcrypt
+     * @var string
+     * @access private
+     */
+    protected $cipher_name_mcrypt = 'arcfour';
+
+    /**
+     * The Key
+     *
+     * @see self::setKey()
+     * @var string
+     * @access private
+     */
+    protected $key;
+
+    /**
+     * The Key Stream for decryption and encryption
+     *
+     * @see self::setKey()
+     * @var array
+     * @access private
+     */
+    private $stream;
+
+    /**
+     * Test for engine validity
+     *
+     * This is mainly just a wrapper to set things up for \phpseclib3\Crypt\Common\SymmetricKey::isValidEngine()
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::__construct()
+     * @param int $engine
+     * @access protected
+     * @return bool
+     */
+    protected function isValidEngineHelper($engine)
+    {
+        if ($engine == self::ENGINE_OPENSSL) {
+            if ($this->continuousBuffer) {
+                return false;
+            }
+            if (version_compare(PHP_VERSION, '5.3.7') >= 0) {
+                $this->cipher_name_openssl = 'rc4-40';
+            } else {
+                switch (strlen($this->key)) {
+                    case 5:
+                        $this->cipher_name_openssl = 'rc4-40';
+                        break;
+                    case 8:
+                        $this->cipher_name_openssl = 'rc4-64';
+                        break;
+                    case 16:
+                        $this->cipher_name_openssl = 'rc4';
+                        break;
+                    default:
+                        return false;
+                }
+            }
+        }
+
+        return parent::isValidEngineHelper($engine);
+    }
+
+    /**
+     * Sets the key length
+     *
+     * Keys can be between 1 and 256 bytes long.
+     *
+     * @access public
+     * @param int $length
+     * @throws \LengthException if the key length is invalid
+     */
+    public function setKeyLength($length)
+    {
+        if ($length < 8 || $length > 2048) {
+            throw new \LengthException('Key size of ' . $length . ' bits is not supported by this algorithm. Only keys between 1 and 256 bytes are supported');
+        }
+
+        $this->key_length = $length >> 3;
+
+        parent::setKeyLength($length);
+    }
+
+    /**
+     * Sets the key length
+     *
+     * Keys can be between 1 and 256 bytes long.
+     *
+     * @access public
+     * @param string $key
+     */
+    public function setKey($key)
+    {
+        $length = strlen($key);
+        if ($length < 1 || $length > 256) {
+            throw new \LengthException('Key size of ' . $length . ' bytes is not supported by RC4. Keys must be between 1 and 256 bytes long');
+        }
+
+        parent::setKey($key);
+    }
+
+    /**
+     * Encrypts a message.
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::decrypt()
+     * @see self::crypt()
+     * @access public
+     * @param string $plaintext
+     * @return string $ciphertext
+     */
+    public function encrypt($plaintext)
+    {
+        if ($this->engine != self::ENGINE_INTERNAL) {
+            return parent::encrypt($plaintext);
+        }
+        return $this->crypt($plaintext, self::ENCRYPT);
+    }
+
+    /**
+     * Decrypts a message.
+     *
+     * $this->decrypt($this->encrypt($plaintext)) == $this->encrypt($this->encrypt($plaintext)).
+     * At least if the continuous buffer is disabled.
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::encrypt()
+     * @see self::crypt()
+     * @access public
+     * @param string $ciphertext
+     * @return string $plaintext
+     */
+    public function decrypt($ciphertext)
+    {
+        if ($this->engine != self::ENGINE_INTERNAL) {
+            return parent::decrypt($ciphertext);
+        }
+        return $this->crypt($ciphertext, self::DECRYPT);
+    }
+
+    /**
+     * Encrypts a block
+     *
+     * @access private
+     * @param string $in
+     */
+    protected function encryptBlock($in)
+    {
+        // RC4 does not utilize this method
+    }
+
+    /**
+     * Decrypts a block
+     *
+     * @access private
+     * @param string $in
+     */
+    protected function decryptBlock($in)
+    {
+        // RC4 does not utilize this method
+    }
+
+    /**
+     * Setup the key (expansion)
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::_setupKey()
+     * @access private
+     */
+    protected function setupKey()
+    {
+        $key = $this->key;
+        $keyLength = strlen($key);
+        $keyStream = range(0, 255);
+        $j = 0;
+        for ($i = 0; $i < 256; $i++) {
+            $j = ($j + $keyStream[$i] + ord($key[$i % $keyLength])) & 255;
+            $temp = $keyStream[$i];
+            $keyStream[$i] = $keyStream[$j];
+            $keyStream[$j] = $temp;
+        }
+
+        $this->stream = [];
+        $this->stream[self::DECRYPT] = $this->stream[self::ENCRYPT] = [
+            0, // index $i
+            0, // index $j
+            $keyStream
+        ];
+    }
+
+    /**
+     * Encrypts or decrypts a message.
+     *
+     * @see self::encrypt()
+     * @see self::decrypt()
+     * @access private
+     * @param string $text
+     * @param int $mode
+     * @return string $text
+     */
+    private function crypt($text, $mode)
+    {
+        if ($this->changed) {
+            $this->setup();
+        }
+
+        $stream = &$this->stream[$mode];
+        if ($this->continuousBuffer) {
+            $i = &$stream[0];
+            $j = &$stream[1];
+            $keyStream = &$stream[2];
+        } else {
+            $i = $stream[0];
+            $j = $stream[1];
+            $keyStream = $stream[2];
+        }
+
+        $len = strlen($text);
+        for ($k = 0; $k < $len; ++$k) {
+            $i = ($i + 1) & 255;
+            $ksi = $keyStream[$i];
+            $j = ($j + $ksi) & 255;
+            $ksj = $keyStream[$j];
+
+            $keyStream[$i] = $ksj;
+            $keyStream[$j] = $ksi;
+            $text[$k] = $text[$k] ^ chr($keyStream[($ksj + $ksi) & 255]);
+        }
+
+        return $text;
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA.php
new file mode 100644
index 000000000..9ff33e677
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA.php
@@ -0,0 +1,837 @@
+<?php
+
+/**
+ * Pure-PHP PKCS#1 (v2.1) compliant implementation of RSA.
+ *
+ * PHP version 5
+ *
+ * Here's an example of how to encrypt and decrypt text with this library:
+ * <code>
+ * <?php
+ * include 'vendor/autoload.php';
+ *
+ * $private = \phpseclib3\Crypt\RSA::createKey();
+ * $public = $private->getPublicKey();
+ *
+ * $plaintext = 'terrafrost';
+ *
+ * $ciphertext = $public->encrypt($plaintext);
+ *
+ * echo $private->decrypt($ciphertext);
+ * ?>
+ * </code>
+ *
+ * Here's an example of how to create signatures and verify signatures with this library:
+ * <code>
+ * <?php
+ * include 'vendor/autoload.php';
+ *
+ * $private = \phpseclib3\Crypt\RSA::createKey();
+ * $public = $private->getPublicKey();
+ *
+ * $plaintext = 'terrafrost';
+ *
+ * $signature = $private->sign($plaintext);
+ *
+ * echo $public->verify($plaintext, $signature) ? 'verified' : 'unverified';
+ * ?>
+ * </code>
+ *
+ * One thing to consider when using this: so phpseclib uses PSS mode by default.
+ * Technically, id-RSASSA-PSS has a different key format than rsaEncryption. So
+ * should phpseclib save to the id-RSASSA-PSS format by default or the
+ * rsaEncryption format? For stand-alone keys I figure rsaEncryption is better
+ * because SSH doesn't use PSS and idk how many SSH servers would be able to
+ * decode an id-RSASSA-PSS key. For X.509 certificates the id-RSASSA-PSS
+ * format is used by default (unless you change it up to use PKCS1 instead)
+ *
+ * @category  Crypt
+ * @package   RSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2009 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt;
+
+use phpseclib3\Crypt\Common\AsymmetricKey;
+use phpseclib3\Crypt\RSA\PrivateKey;
+use phpseclib3\Crypt\RSA\PublicKey;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Exception\UnsupportedAlgorithmException;
+use phpseclib3\Exception\InconsistentSetupException;
+use phpseclib3\Crypt\RSA\Formats\Keys\PSS;
+
+/**
+ * Pure-PHP PKCS#1 compliant implementation of RSA.
+ *
+ * @package RSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class RSA extends AsymmetricKey
+{
+    /**
+     * Algorithm Name
+     *
+     * @var string
+     * @access private
+     */
+    const ALGORITHM = 'RSA';
+
+    /**
+     * Use {@link http://en.wikipedia.org/wiki/Optimal_Asymmetric_Encryption_Padding Optimal Asymmetric Encryption Padding}
+     * (OAEP) for encryption / decryption.
+     *
+     * Uses sha256 by default
+     *
+     * @see self::setHash()
+     * @see self::setMGFHash()
+     * @access public
+     * @see self::encrypt()
+     * @see self::decrypt()
+     */
+    const ENCRYPTION_OAEP = 1;
+    /**
+     * Use PKCS#1 padding.
+     *
+     * Although self::PADDING_OAEP / self::PADDING_PSS  offers more security, including PKCS#1 padding is necessary for purposes of backwards
+     * compatibility with protocols (like SSH-1) written before OAEP's introduction.
+     *
+     * @access public
+     * @see self::encrypt()
+     * @see self::decrypt()
+     */
+    const ENCRYPTION_PKCS1 = 2;
+    /**
+     * Do not use any padding
+     *
+     * Although this method is not recommended it can none-the-less sometimes be useful if you're trying to decrypt some legacy
+     * stuff, if you're trying to diagnose why an encrypted message isn't decrypting, etc.
+     *
+     * @access public
+     * @see self::encrypt()
+     * @see self::decrypt()
+     */
+    const ENCRYPTION_NONE = 4;
+
+    /**
+     * Use the Probabilistic Signature Scheme for signing
+     *
+     * Uses sha256 and 0 as the salt length
+     *
+     * @see self::setSaltLength()
+     * @see self::setMGFHash()
+     * @see self::setHash()
+     * @see self::sign()
+     * @see self::verify()
+     * @see self::setHash()
+     * @access public
+     */
+    const SIGNATURE_PSS = 16;
+    /**
+     * Use a relaxed version of PKCS#1 padding for signature verification
+     *
+     * @see self::sign()
+     * @see self::verify()
+     * @see self::setHash()
+     * @access public
+     */
+    const SIGNATURE_RELAXED_PKCS1 = 32;
+    /**
+     * Use PKCS#1 padding for signature verification
+     *
+     * @see self::sign()
+     * @see self::verify()
+     * @see self::setHash()
+     * @access public
+     */
+    const SIGNATURE_PKCS1 = 64;
+
+    /**
+     * Encryption padding mode
+     *
+     * @var int
+     * @access private
+     */
+    protected $encryptionPadding = self::ENCRYPTION_OAEP;
+
+    /**
+     * Signature padding mode
+     *
+     * @var int
+     * @access private
+     */
+    protected $signaturePadding = self::SIGNATURE_PSS;
+
+    /**
+     * Length of hash function output
+     *
+     * @var int
+     * @access private
+     */
+    protected $hLen;
+
+    /**
+     * Length of salt
+     *
+     * @var int
+     * @access private
+     */
+    protected $sLen;
+
+    /**
+     * Label
+     *
+     * @var string
+     * @access private
+     */
+    protected $label = '';
+
+    /**
+     * Hash function for the Mask Generation Function
+     *
+     * @var \phpseclib3\Crypt\Hash
+     * @access private
+     */
+    protected $mgfHash;
+
+    /**
+     * Length of MGF hash function output
+     *
+     * @var int
+     * @access private
+     */
+    protected $mgfHLen;
+
+    /**
+     * Modulus (ie. n)
+     *
+     * @var \phpseclib3\Math\BigInteger
+     * @access private
+     */
+    protected $modulus;
+
+    /**
+     * Modulus length
+     *
+     * @var \phpseclib3\Math\BigInteger
+     * @access private
+     */
+    protected $k;
+
+    /**
+     * Exponent (ie. e or d)
+     *
+     * @var \phpseclib3\Math\BigInteger
+     * @access private
+     */
+    protected $exponent;
+
+    /**
+     * Default public exponent
+     *
+     * @var int
+     * @link http://en.wikipedia.org/wiki/65537_%28number%29
+     * @access private
+     */
+    private static $defaultExponent = 65537;
+
+    /**
+     * Enable Blinding?
+     *
+     * @var bool
+     * @access private
+     */
+    protected static $enableBlinding = true;
+
+    /**
+     * Smallest Prime
+     *
+     * Per <http://cseweb.ucsd.edu/~hovav/dist/survey.pdf#page=5>, this number ought not result in primes smaller
+     * than 256 bits. As a consequence if the key you're trying to create is 1024 bits and you've set smallestPrime
+     * to 384 bits then you're going to get a 384 bit prime and a 640 bit prime (384 + 1024 % 384). At least if
+     * engine is set to self::ENGINE_INTERNAL. If Engine is set to self::ENGINE_OPENSSL then smallest Prime is
+     * ignored (ie. multi-prime RSA support is more intended as a way to speed up RSA key generation when there's
+     * a chance neither gmp nor OpenSSL are installed)
+     *
+     * @var int
+     * @access private
+     */
+    private static $smallestPrime = 4096;
+
+    /**
+     * Sets the public exponent for key generation
+     *
+     * This will be 65537 unless changed.
+     *
+     * @access public
+     * @param int $val
+     */
+    public static function setExponent($val)
+    {
+        self::$defaultExponent = $val;
+    }
+
+    /**
+     * Sets the smallest prime number in bits. Used for key generation
+     *
+     * This will be 4096 unless changed.
+     *
+     * @access public
+     * @param int $val
+     */
+    public static function setSmallestPrime($val)
+    {
+        self::$smallestPrime = $val;
+    }
+
+    /**
+     * Create a private key
+     *
+     * The public key can be extracted from the private key
+     *
+     * @return RSA
+     * @access public
+     * @param int $bits
+     */
+    public static function createKey($bits = 2048)
+    {
+        self::initialize_static_variables();
+
+        static $e;
+        if (!isset($e)) {
+            $e = new BigInteger(self::$defaultExponent);
+        }
+
+        $regSize = $bits >> 1; // divide by two to see how many bits P and Q would be
+        if ($regSize > self::$smallestPrime) {
+            $num_primes = floor($bits / self::$smallestPrime);
+            $regSize = self::$smallestPrime;
+        } else {
+            $num_primes = 2;
+        }
+
+        $n = clone self::$one;
+        $exponents = $coefficients = $primes = [];
+        $lcm = [
+            'top' => clone self::$one,
+            'bottom' => false
+        ];
+
+        do {
+            for ($i = 1; $i <= $num_primes; $i++) {
+                if ($i != $num_primes) {
+                    $primes[$i] = BigInteger::randomPrime($regSize);
+                } else {
+                    extract(BigInteger::minMaxBits($bits));
+                    /** @var BigInteger $min
+                     *  @var BigInteger $max
+                     */
+                    list($min) = $min->divide($n);
+                    $min = $min->add(self::$one);
+                    list($max) = $max->divide($n);
+                    $primes[$i] = BigInteger::randomRangePrime($min, $max);
+                }
+
+                // the first coefficient is calculated differently from the rest
+                // ie. instead of being $primes[1]->modInverse($primes[2]), it's $primes[2]->modInverse($primes[1])
+                if ($i > 2) {
+                    $coefficients[$i] = $n->modInverse($primes[$i]);
+                }
+
+                $n = $n->multiply($primes[$i]);
+
+                $temp = $primes[$i]->subtract(self::$one);
+
+                // textbook RSA implementations use Euler's totient function instead of the least common multiple.
+                // see http://en.wikipedia.org/wiki/Euler%27s_totient_function
+                $lcm['top'] = $lcm['top']->multiply($temp);
+                $lcm['bottom'] = $lcm['bottom'] === false ? $temp : $lcm['bottom']->gcd($temp);
+            }
+
+            list($temp) = $lcm['top']->divide($lcm['bottom']);
+            $gcd = $temp->gcd($e);
+            $i0 = 1;
+        } while (!$gcd->equals(self::$one));
+
+        $coefficients[2] = $primes[2]->modInverse($primes[1]);
+
+        $d = $e->modInverse($temp);
+
+        foreach ($primes as $i => $prime) {
+            $temp = $prime->subtract(self::$one);
+            $exponents[$i] = $e->modInverse($temp);
+        }
+
+        // from <http://tools.ietf.org/html/rfc3447#appendix-A.1.2>:
+        // RSAPrivateKey ::= SEQUENCE {
+        //     version           Version,
+        //     modulus           INTEGER,  -- n
+        //     publicExponent    INTEGER,  -- e
+        //     privateExponent   INTEGER,  -- d
+        //     prime1            INTEGER,  -- p
+        //     prime2            INTEGER,  -- q
+        //     exponent1         INTEGER,  -- d mod (p-1)
+        //     exponent2         INTEGER,  -- d mod (q-1)
+        //     coefficient       INTEGER,  -- (inverse of q) mod p
+        //     otherPrimeInfos   OtherPrimeInfos OPTIONAL
+        // }
+        $privatekey = new PrivateKey;
+        $privatekey->modulus = $n;
+        $privatekey->k = $bits >> 3;
+        $privatekey->publicExponent = $e;
+        $privatekey->exponent = $d;
+        $privatekey->privateExponent = $e;
+        $privatekey->primes = $primes;
+        $privatekey->exponents = $exponents;
+        $privatekey->coefficients = $coefficients;
+
+        /*
+        $publickey = new PublicKey;
+        $publickey->modulus = $n;
+        $publickey->k = $bits >> 3;
+        $publickey->exponent = $e;
+        $publickey->publicExponent = $e;
+        $publickey->isPublic = true;
+        */
+
+        return $privatekey;
+    }
+
+    /**
+     * OnLoad Handler
+     *
+     * @return bool
+     * @access protected
+     * @param array $components
+     */
+    protected static function onLoad($components)
+    {
+        $key = $components['isPublicKey'] ?
+            new PublicKey :
+            new PrivateKey;
+
+        $key->modulus = $components['modulus'];
+        $key->publicExponent = $components['publicExponent'];
+        $key->k = $key->modulus->getLengthInBytes();
+
+        if ($components['isPublicKey'] || !isset($components['privateExponent'])) {
+            $key->exponent = $key->publicExponent;
+        } else {
+            $key->privateExponent = $components['privateExponent'];
+            $key->exponent = $key->privateExponent;
+            $key->primes = $components['primes'];
+            $key->exponents = $components['exponents'];
+            $key->coefficients = $components['coefficients'];
+        }
+
+        if ($components['format'] == PSS::class) {
+            // in the X509 world RSA keys are assumed to use PKCS1 padding by default. only if the key is
+            // explicitly a PSS key is the use of PSS assumed. phpseclib does not work like this. phpseclib
+            // uses PSS padding by default. it assumes the more secure method by default and altho it provides
+            // for the less secure PKCS1 method you have to go out of your way to use it. this is consistent
+            // with the latest trends in crypto. libsodium (NaCl) is actually a little more extreme in that
+            // not only does it defaults to the most secure methods - it doesn't even let you choose less
+            // secure methods
+            //$key = $key->withPadding(self::SIGNATURE_PSS);
+            if (isset($components['hash'])) {
+                $key = $key->withHash($components['hash']);
+            }
+            if (isset($components['MGFHash'])) {
+                $key = $key->withMGFHash($components['MGFHash']);
+            }
+            if (isset($components['saltLength'])) {
+                $key = $key->withSaltLength($components['saltLength']);
+            }
+        }
+
+        return $key;
+    }
+
+    /**
+     * Constructor
+     *
+     * PublicKey and PrivateKey objects can only be created from abstract RSA class
+     */
+    protected function __construct()
+    {
+        parent::__construct();
+
+        $this->hLen = $this->hash->getLengthInBytes();
+        $this->mgfHash = new Hash('sha256');
+        $this->mgfHLen = $this->mgfHash->getLengthInBytes();
+    }
+
+    /**
+     * Integer-to-Octet-String primitive
+     *
+     * See {@link http://tools.ietf.org/html/rfc3447#section-4.1 RFC3447#section-4.1}.
+     *
+     * @access private
+     * @param bool|\phpseclib3\Math\BigInteger $x
+     * @param int $xLen
+     * @return bool|string
+     */
+    protected function i2osp($x, $xLen)
+    {
+        if ($x === false) {
+            return false;
+        }
+        $x = $x->toBytes();
+        if (strlen($x) > $xLen) {
+            throw new \OutOfRangeException('Resultant string length out of range');
+        }
+        return str_pad($x, $xLen, chr(0), STR_PAD_LEFT);
+    }
+
+    /**
+     * Octet-String-to-Integer primitive
+     *
+     * See {@link http://tools.ietf.org/html/rfc3447#section-4.2 RFC3447#section-4.2}.
+     *
+     * @access private
+     * @param string $x
+     * @return \phpseclib3\Math\BigInteger
+     */
+    protected function os2ip($x)
+    {
+        return new BigInteger($x, 256);
+    }
+
+    /**
+     * EMSA-PKCS1-V1_5-ENCODE
+     *
+     * See {@link http://tools.ietf.org/html/rfc3447#section-9.2 RFC3447#section-9.2}.
+     *
+     * @access private
+     * @param string $m
+     * @param int $emLen
+     * @throws \LengthException if the intended encoded message length is too short
+     * @return string
+     */
+    protected function emsa_pkcs1_v1_5_encode($m, $emLen)
+    {
+        $h = $this->hash->hash($m);
+
+        // see http://tools.ietf.org/html/rfc3447#page-43
+        switch ($this->hash->getHash()) {
+            case 'md2':
+                $t = "\x30\x20\x30\x0c\x06\x08\x2a\x86\x48\x86\xf7\x0d\x02\x02\x05\x00\x04\x10";
+                break;
+            case 'md5':
+                $t = "\x30\x20\x30\x0c\x06\x08\x2a\x86\x48\x86\xf7\x0d\x02\x05\x05\x00\x04\x10";
+                break;
+            case 'sha1':
+                $t = "\x30\x21\x30\x09\x06\x05\x2b\x0e\x03\x02\x1a\x05\x00\x04\x14";
+                break;
+            case 'sha256':
+                $t = "\x30\x31\x30\x0d\x06\x09\x60\x86\x48\x01\x65\x03\x04\x02\x01\x05\x00\x04\x20";
+                break;
+            case 'sha384':
+                $t = "\x30\x41\x30\x0d\x06\x09\x60\x86\x48\x01\x65\x03\x04\x02\x02\x05\x00\x04\x30";
+                break;
+            case 'sha512':
+                $t = "\x30\x51\x30\x0d\x06\x09\x60\x86\x48\x01\x65\x03\x04\x02\x03\x05\x00\x04\x40";
+                break;
+            // from https://www.emc.com/collateral/white-papers/h11300-pkcs-1v2-2-rsa-cryptography-standard-wp.pdf#page=40
+            case 'sha224':
+                $t = "\x30\x2d\x30\x0d\x06\x09\x60\x86\x48\x01\x65\x03\x04\x02\x04\x05\x00\x04\x1c";
+                break;
+            case 'sha512/224':
+                $t = "\x30\x2d\x30\x0d\x06\x09\x60\x86\x48\x01\x65\x03\x04\x02\x05\x05\x00\x04\x1c";
+                break;
+            case 'sha512/256':
+                $t = "\x30\x31\x30\x0d\x06\x09\x60\x86\x48\x01\x65\x03\x04\x02\x06\x05\x00\x04\x20";
+        }
+        $t.= $h;
+        $tLen = strlen($t);
+
+        if ($emLen < $tLen + 11) {
+            throw new \LengthException('Intended encoded message length too short');
+        }
+
+        $ps = str_repeat(chr(0xFF), $emLen - $tLen - 3);
+
+        $em = "\0\1$ps\0$t";
+
+        return $em;
+    }
+
+    /**
+     * MGF1
+     *
+     * See {@link http://tools.ietf.org/html/rfc3447#appendix-B.2.1 RFC3447#appendix-B.2.1}.
+     *
+     * @access private
+     * @param string $mgfSeed
+     * @param int $maskLen
+     * @return string
+     */
+    protected function mgf1($mgfSeed, $maskLen)
+    {
+        // if $maskLen would yield strings larger than 4GB, PKCS#1 suggests a "Mask too long" error be output.
+
+        $t = '';
+        $count = ceil($maskLen / $this->mgfHLen);
+        for ($i = 0; $i < $count; $i++) {
+            $c = pack('N', $i);
+            $t.= $this->mgfHash->hash($mgfSeed . $c);
+        }
+
+        return substr($t, 0, $maskLen);
+    }
+
+    /**
+     * Returns the key size
+     *
+     * More specifically, this returns the size of the modulo in bits.
+     *
+     * @access public
+     * @return int
+     */
+    public function getLength()
+    {
+        return !isset($this->modulus) ? 0 : $this->modulus->getLength();
+    }
+
+    /**
+     * Determines which hashing function should be used
+     *
+     * Used with signature production / verification and (if the encryption mode is self::PADDING_OAEP) encryption and
+     * decryption.
+     *
+     * @access public
+     * @param string $hash
+     */
+    public function withHash($hash)
+    {
+        $new = clone $this;
+
+        // \phpseclib3\Crypt\Hash supports algorithms that PKCS#1 doesn't support.  md5-96 and sha1-96, for example.
+        switch (strtolower($hash)) {
+            case 'md2':
+            case 'md5':
+            case 'sha1':
+            case 'sha256':
+            case 'sha384':
+            case 'sha512':
+            case 'sha224':
+            case 'sha512/224':
+            case 'sha512/256':
+                $new->hash = new Hash($hash);
+                break;
+            default:
+                throw new UnsupportedAlgorithmException(
+                    'The only supported hash algorithms are: md2, md5, sha1, sha256, sha384, sha512, sha224, sha512/224, sha512/256'
+                );
+        }
+        $new->hLen = $new->hash->getLengthInBytes();
+
+        return $new;
+    }
+
+    /**
+     * Determines which hashing function should be used for the mask generation function
+     *
+     * The mask generation function is used by self::PADDING_OAEP and self::PADDING_PSS and although it's
+     * best if Hash and MGFHash are set to the same thing this is not a requirement.
+     *
+     * @access public
+     * @param string $hash
+     */
+    public function withMGFHash($hash)
+    {
+        $new = clone $this;
+
+        // \phpseclib3\Crypt\Hash supports algorithms that PKCS#1 doesn't support.  md5-96 and sha1-96, for example.
+        switch (strtolower($hash)) {
+            case 'md2':
+            case 'md5':
+            case 'sha1':
+            case 'sha256':
+            case 'sha384':
+            case 'sha512':
+            case 'sha224':
+            case 'sha512/224':
+            case 'sha512/256':
+                $new->mgfHash = new Hash($hash);
+                break;
+            default:
+                throw new UnsupportedAlgorithmException(
+                    'The only supported hash algorithms are: md2, md5, sha1, sha256, sha384, sha512, sha224, sha512/224, sha512/256'
+                );
+        }
+        $new->mgfHLen = $new->mgfHash->getLengthInBytes();
+
+        return $new;
+    }
+
+    /**
+     * Returns the MGF hash algorithm currently being used
+     *
+     * @access public
+     */
+    public function getMGFHash()
+    {
+       return clone $this->mgfHash;
+    }
+
+    /**
+     * Determines the salt length
+     *
+     * Used by RSA::PADDING_PSS
+     *
+     * To quote from {@link http://tools.ietf.org/html/rfc3447#page-38 RFC3447#page-38}:
+     *
+     *    Typical salt lengths in octets are hLen (the length of the output
+     *    of the hash function Hash) and 0.
+     *
+     * @access public
+     * @param int $sLen
+     */
+    public function withSaltLength($sLen)
+    {
+        $new = clone $this;
+        $new->sLen = $sLen;
+        return $new;
+    }
+
+    /**
+     * Returns the salt length currently being used
+     *
+     * @access public
+     */
+    public function getSaltLength()
+    {
+       return $this->sLen !== null ? $this->sLen : $this->hLen;
+    }
+
+    /**
+     * Determines the label
+     *
+     * Used by RSA::PADDING_OAEP
+     *
+     * To quote from {@link http://tools.ietf.org/html/rfc3447#page-17 RFC3447#page-17}:
+     *
+     *    Both the encryption and the decryption operations of RSAES-OAEP take
+     *    the value of a label L as input.  In this version of PKCS #1, L is
+     *    the empty string; other uses of the label are outside the scope of
+     *    this document.
+     *
+     * @access public
+     * @param string $label
+     */
+    public function withLabel($label)
+    {
+        $new = clone $this;
+        $new->label = $label;
+        return $new;
+    }
+
+    /**
+     * Returns the label currently being used
+     *
+     * @access public
+     */
+    public function getLabel()
+    {
+       return $this->label;
+    }
+
+    /**
+     * Determines the padding modes
+     *
+     * Example: $key->withPadding(RSA::ENCRYPTION_PKCS1 | RSA::SIGNATURE_PKCS1);
+     *
+     * @access public
+     * @param int $padding
+     */
+    public function withPadding($padding)
+    {
+        $masks = [
+            self::ENCRYPTION_OAEP,
+            self::ENCRYPTION_PKCS1,
+            self::ENCRYPTION_NONE
+        ];
+        $numSelected = 0;
+        $selected = 0;
+        foreach ($masks as $mask) {
+            if ($padding & $mask) {
+                $selected = $mask;
+                $numSelected++;
+            }
+        }
+        if ($numSelected > 1) {
+            throw new InconsistentSetupException('Multiple encryption padding modes have been selected; at most only one should be selected');
+        }
+        $encryptionPadding = $selected;
+
+        $masks = [
+            self::SIGNATURE_PSS,
+            self::SIGNATURE_RELAXED_PKCS1,
+            self::SIGNATURE_PKCS1
+        ];
+        $numSelected = 0;
+        $selected = 0;
+        foreach ($masks as $mask) {
+            if ($padding & $mask) {
+                $selected = $mask;
+                $numSelected++;
+            }
+        }
+        if ($numSelected > 1) {
+            throw new InconsistentSetupException('Multiple signature padding modes have been selected; at most only one should be selected');
+        }
+        $signaturePadding = $selected;
+
+        $new = clone $this;
+        $new->encryptionPadding = $encryptionPadding;
+        $new->signaturePadding = $signaturePadding;
+        return $new;
+    }
+
+    /**
+     * Returns the padding currently being used
+     *
+     * @access public
+     */
+    public function getPadding()
+    {
+       return $this->signaturePadding | $this->encryptionPadding;
+    }
+
+    /**
+     * Returns the current engine being used
+     *
+     * @see self::useInternalEngine()
+     * @see self::useBestEngine()
+     * @access public
+     * @return string
+     */
+    public function getEngine()
+    {
+        return 'PHP';
+    }
+
+    /**
+     * Enable RSA Blinding
+     *
+     * @access public
+     */
+    public static function enableBlinding()
+    {
+        static::$enableBlinding = true;
+    }
+
+    /**
+     * Disable RSA Blinding
+     *
+     * @access public
+     */
+    public static function disableBlinding()
+    {
+        static::$enableBlinding = false;
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/MSBLOB.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/MSBLOB.php
new file mode 100644
index 000000000..74771204d
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/MSBLOB.php
@@ -0,0 +1,242 @@
+<?php
+
+/**
+ * Miccrosoft BLOB Formatted RSA Key Handler
+ *
+ * More info:
+ *
+ * https://msdn.microsoft.com/en-us/library/windows/desktop/aa375601(v=vs.85).aspx
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   RSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\RSA\Formats\Keys;
+
+use ParagonIE\ConstantTime\Base64;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Exception\UnsupportedFormatException;
+
+/**
+ * Microsoft BLOB Formatted RSA Key Handler
+ *
+ * @package RSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class MSBLOB
+{
+    /**
+     * Public/Private Key Pair
+     *
+     * @access private
+     */
+    const PRIVATEKEYBLOB = 0x7;
+    /**
+     * Public Key
+     *
+     * @access private
+     */
+    const PUBLICKEYBLOB = 0x6;
+    /**
+     * Public Key
+     *
+     * @access private
+     */
+    const PUBLICKEYBLOBEX = 0xA;
+    /**
+     * RSA public key exchange algorithm
+     *
+     * @access private
+     */
+    const CALG_RSA_KEYX = 0x0000A400;
+    /**
+     * RSA public key exchange algorithm
+     *
+     * @access private
+     */
+    const CALG_RSA_SIGN = 0x00002400;
+    /**
+     * Public Key
+     *
+     * @access private
+     */
+    const RSA1 = 0x31415352;
+    /**
+     * Private Key
+     *
+     * @access private
+     */
+    const RSA2 = 0x32415352;
+
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        if (!Strings::is_stringable($key)) {
+            throw new \UnexpectedValueException('Key should be a string - not a ' . gettype($key));
+        }
+
+        $key = Base64::decode($key);
+
+        if (!is_string($key)) {
+            throw new \UnexpectedValueException('Base64 decoding produced an error');
+        }
+        if (strlen($key) < 20) {
+            throw new \UnexpectedValueException('Key appears to be malformed');
+        }
+
+        // PUBLICKEYSTRUC  publickeystruc
+        // https://msdn.microsoft.com/en-us/library/windows/desktop/aa387453(v=vs.85).aspx
+        extract(unpack('atype/aversion/vreserved/Valgo', Strings::shift($key, 8)));
+        /**
+         * @var string $type
+         * @var string $version
+         * @var integer $reserved
+         * @var integer $algo
+         */
+        switch (ord($type)) {
+            case self::PUBLICKEYBLOB:
+            case self::PUBLICKEYBLOBEX:
+                $publickey = true;
+                break;
+            case self::PRIVATEKEYBLOB:
+                $publickey = false;
+                break;
+            default:
+                throw new \UnexpectedValueException('Key appears to be malformed');
+        }
+
+        $components = ['isPublicKey' => $publickey];
+
+        // https://msdn.microsoft.com/en-us/library/windows/desktop/aa375549(v=vs.85).aspx
+        switch ($algo) {
+            case self::CALG_RSA_KEYX:
+            case self::CALG_RSA_SIGN:
+                break;
+            default:
+                throw new \UnexpectedValueException('Key appears to be malformed');
+        }
+
+        // RSAPUBKEY rsapubkey
+        // https://msdn.microsoft.com/en-us/library/windows/desktop/aa387685(v=vs.85).aspx
+        // could do V for pubexp but that's unsigned 32-bit whereas some PHP installs only do signed 32-bit
+        extract(unpack('Vmagic/Vbitlen/a4pubexp', Strings::shift($key, 12)));
+        /**
+         * @var integer $magic
+         * @var integer $bitlen
+         * @var string $pubexp
+         */
+        switch ($magic) {
+            case self::RSA2:
+                $components['isPublicKey'] = false;
+            case self::RSA1:
+                break;
+            default:
+                throw new \UnexpectedValueException('Key appears to be malformed');
+        }
+
+        $baseLength = $bitlen / 16;
+        if (strlen($key) != 2 * $baseLength && strlen($key) != 9 * $baseLength) {
+            throw new \UnexpectedValueException('Key appears to be malformed');
+        }
+
+        $components[$components['isPublicKey'] ? 'publicExponent' : 'privateExponent'] = new BigInteger(strrev($pubexp), 256);
+        // BYTE modulus[rsapubkey.bitlen/8]
+        $components['modulus'] = new BigInteger(strrev(Strings::shift($key, $bitlen / 8)), 256);
+
+        if ($publickey) {
+            return $components;
+        }
+
+        $components['isPublicKey'] = false;
+
+        // BYTE prime1[rsapubkey.bitlen/16]
+        $components['primes'] = [1 => new BigInteger(strrev(Strings::shift($key, $bitlen / 16)), 256)];
+        // BYTE prime2[rsapubkey.bitlen/16]
+        $components['primes'][] = new BigInteger(strrev(Strings::shift($key, $bitlen / 16)), 256);
+        // BYTE exponent1[rsapubkey.bitlen/16]
+        $components['exponents'] = [1 => new BigInteger(strrev(Strings::shift($key, $bitlen / 16)), 256)];
+        // BYTE exponent2[rsapubkey.bitlen/16]
+        $components['exponents'][] = new BigInteger(strrev(Strings::shift($key, $bitlen / 16)), 256);
+        // BYTE coefficient[rsapubkey.bitlen/16]
+        $components['coefficients'] = [2 => new BigInteger(strrev(Strings::shift($key, $bitlen / 16)), 256)];
+        if (isset($components['privateExponent'])) {
+            $components['publicExponent'] = $components['privateExponent'];
+        }
+        // BYTE privateExponent[rsapubkey.bitlen/8]
+        $components['privateExponent'] = new BigInteger(strrev(Strings::shift($key, $bitlen / 8)), 256);
+
+        return $components;
+    }
+
+    /**
+     * Convert a private key to the appropriate format.
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $n
+     * @param \phpseclib3\Math\BigInteger $e
+     * @param \phpseclib3\Math\BigInteger $d
+     * @param array $primes
+     * @param array $exponents
+     * @param array $coefficients
+     * @param string $password optional
+     * @return string
+     */
+    public static function savePrivateKey(BigInteger $n, BigInteger $e, BigInteger $d, array $primes, array $exponents, array $coefficients, $password = '')
+    {
+        if (count($primes) != 2) {
+            throw new \InvalidArgumentException('MSBLOB does not support multi-prime RSA keys');
+        }
+
+        if (!empty($password) && is_string($password)) {
+            throw new UnsupportedFormatException('MSBLOB private keys do not support encryption');
+        }
+
+        $n = strrev($n->toBytes());
+        $e = str_pad(strrev($e->toBytes()), 4, "\0");
+        $key = pack('aavV', chr(self::PRIVATEKEYBLOB), chr(2), 0, self::CALG_RSA_KEYX);
+        $key.= pack('VVa*', self::RSA2, 8 * strlen($n), $e);
+        $key.= $n;
+        $key.= strrev($primes[1]->toBytes());
+        $key.= strrev($primes[2]->toBytes());
+        $key.= strrev($exponents[1]->toBytes());
+        $key.= strrev($exponents[2]->toBytes());
+        $key.= strrev($coefficients[2]->toBytes());
+        $key.= strrev($d->toBytes());
+
+        return Base64::encode($key);
+    }
+
+    /**
+     * Convert a public key to the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $n
+     * @param \phpseclib3\Math\BigInteger $e
+     * @return string
+     */
+    public static function savePublicKey(BigInteger $n, BigInteger $e)
+    {
+        $n = strrev($n->toBytes());
+        $e = str_pad(strrev($e->toBytes()), 4, "\0");
+        $key = pack('aavV', chr(self::PUBLICKEYBLOB), chr(2), 0, self::CALG_RSA_KEYX);
+        $key.= pack('VVa*', self::RSA1, 8 * strlen($n), $e);
+        $key.= $n;
+
+        return Base64::encode($key);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/OpenSSH.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/OpenSSH.php
new file mode 100644
index 000000000..0f92c1003
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/OpenSSH.php
@@ -0,0 +1,140 @@
+<?php
+
+/**
+ * OpenSSH Formatted RSA Key Handler
+ *
+ * PHP version 5
+ *
+ * Place in $HOME/.ssh/authorized_keys
+ *
+ * @category  Crypt
+ * @package   RSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\RSA\Formats\Keys;
+
+use ParagonIE\ConstantTime\Base64;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Crypt\Common\Formats\Keys\OpenSSH as Progenitor;
+
+/**
+ * OpenSSH Formatted RSA Key Handler
+ *
+ * @package RSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class OpenSSH extends Progenitor
+{
+    /**
+     * Supported Key Types
+     *
+     * @var array
+     */
+    protected static $types = ['ssh-rsa'];
+
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        static $one;
+        if (!isset($one)) {
+            $one = new BigInteger(1);
+        }
+
+        $parsed = parent::load($key, $password);
+
+        if (isset($parsed['paddedKey'])) {
+            list($type) = Strings::unpackSSH2('s', $parsed['paddedKey']);
+            if ($type != $parsed['type']) {
+                throw new \RuntimeException("The public and private keys are not of the same type ($type vs $parsed[type])");
+            }
+
+            $primes = $coefficients = [];
+
+            list(
+                $modulus,
+                $publicExponent,
+                $privateExponent,
+                $coefficients[2],
+                $primes[1],
+                $primes[2],
+                $comment,
+            ) = Strings::unpackSSH2('i6s', $parsed['paddedKey']);
+
+            $temp = $primes[1]->subtract($one);
+            $exponents = [1 => $publicExponent->modInverse($temp)];
+            $temp = $primes[2]->subtract($one);
+            $exponents[] = $publicExponent->modInverse($temp);
+
+            $isPublicKey = false;
+
+            return compact('publicExponent', 'modulus', 'privateExponent', 'primes', 'coefficients', 'exponents', 'comment', 'isPublicKey');
+        }
+
+        list($publicExponent, $modulus) = Strings::unpackSSH2('ii', $parsed['publicKey']);
+
+        return [
+            'isPublicKey' => true,
+            'modulus' => $modulus,
+            'publicExponent' => $publicExponent,
+            'comment' => $parsed['comment']
+        ];
+    }
+
+    /**
+     * Convert a public key to the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $n
+     * @param \phpseclib3\Math\BigInteger $e
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePublicKey(BigInteger $n, BigInteger $e, array $options = [])
+    {
+        $RSAPublicKey = Strings::packSSH2('sii', 'ssh-rsa', $e, $n);
+
+        if (isset($options['binary']) ? $options['binary'] : self::$binary) {
+            return $RSAPublicKey;
+        }
+
+        $comment = isset($options['comment']) ? $options['comment'] : self::$comment;
+        $RSAPublicKey = 'ssh-rsa ' . base64_encode($RSAPublicKey) . ' ' . $comment;
+
+        return $RSAPublicKey;
+    }
+
+    /**
+     * Convert a private key to the appropriate format.
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $n
+     * @param \phpseclib3\Math\BigInteger $e
+     * @param \phpseclib3\Math\BigInteger $d
+     * @param array $primes
+     * @param array $exponents
+     * @param array $coefficients
+     * @param string $password optional
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePrivateKey(BigInteger $n, BigInteger $e, BigInteger $d, array $primes, array $exponents, array $coefficients, $password = '', array $options = [])
+    {
+        $publicKey = self::savePublicKey($n, $e, ['binary' => true]);
+        $privateKey = Strings::packSSH2('si6', 'ssh-rsa', $n, $e, $d, $coefficients[2], $primes[1], $primes[2]);
+
+        return self::wrapPrivateKey($publicKey, $privateKey, $password, $options);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/PKCS1.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/PKCS1.php
new file mode 100644
index 000000000..5203e4631
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/PKCS1.php
@@ -0,0 +1,167 @@
+<?php
+
+/**
+ * PKCS#1 Formatted RSA Key Handler
+ *
+ * PHP version 5
+ *
+ * Used by File/X509.php
+ *
+ * Processes keys with the following headers:
+ *
+ * -----BEGIN RSA PRIVATE KEY-----
+ * -----BEGIN RSA PUBLIC KEY-----
+ *
+ * Analogous to ssh-keygen's pem format (as specified by -m)
+ *
+ * @category  Crypt
+ * @package   RSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\RSA\Formats\Keys;
+
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Crypt\Common\Formats\Keys\PKCS1 as Progenitor;
+use phpseclib3\File\ASN1;
+use phpseclib3\File\ASN1\Maps;
+use phpseclib3\Common\Functions\Strings;
+
+/**
+ * PKCS#1 Formatted RSA Key Handler
+ *
+ * @package RSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PKCS1 extends Progenitor
+{
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        if (!Strings::is_stringable($key)) {
+            throw new \UnexpectedValueException('Key should be a string - not a ' . gettype($key));
+        }
+
+        if (strpos($key, 'PUBLIC') !== false) {
+            $components = ['isPublicKey' => true];
+        } elseif (strpos($key, 'PRIVATE') !== false) {
+            $components = ['isPublicKey' => false];
+        } else {
+            $components = [];
+        }
+
+        $key = parent::load($key, $password);
+
+        $decoded = ASN1::decodeBER($key);
+        if (empty($decoded)) {
+            throw new \RuntimeException('Unable to decode BER');
+        }
+
+        $key = ASN1::asn1map($decoded[0], Maps\RSAPrivateKey::MAP);
+        if (is_array($key)) {
+            $components+= [
+                'modulus' => $key['modulus'],
+                'publicExponent' => $key['publicExponent'],
+                'privateExponent' => $key['privateExponent'],
+                'primes' => [1 => $key['prime1'], $key['prime2']],
+                'exponents' => [1 => $key['exponent1'], $key['exponent2']],
+                'coefficients' => [2 => $key['coefficient']]
+            ];
+            if ($key['version'] == 'multi') {
+                foreach ($key['otherPrimeInfos'] as $primeInfo) {
+                    $components['primes'][] = $primeInfo['prime'];
+                    $components['exponents'][] = $primeInfo['exponent'];
+                    $components['coefficients'][] = $primeInfo['coefficient'];
+                }
+            }
+            if (!isset($components['isPublicKey'])) {
+                $components['isPublicKey'] = false;
+            }
+            return $components;
+        }
+
+        $key = ASN1::asn1map($decoded[0], Maps\RSAPublicKey::MAP);
+
+        if (!is_array($key)) {
+            throw new \RuntimeException('Unable to perform ASN1 mapping');
+        }
+
+        if (!isset($components['isPublicKey'])) {
+            $components['isPublicKey'] = true;
+        }
+
+        return $components + $key;
+    }
+
+    /**
+     * Convert a private key to the appropriate format.
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $n
+     * @param \phpseclib3\Math\BigInteger $e
+     * @param \phpseclib3\Math\BigInteger $d
+     * @param array $primes
+     * @param array $exponents
+     * @param array $coefficients
+     * @param string $password optional
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePrivateKey(BigInteger $n, BigInteger $e, BigInteger $d, array $primes, array $exponents, array $coefficients, $password = '', array $options = [])
+    {
+        $num_primes = count($primes);
+        $key = [
+            'version' => $num_primes == 2 ? 'two-prime' : 'multi',
+            'modulus' => $n,
+            'publicExponent' => $e,
+            'privateExponent' => $d,
+            'prime1' => $primes[1],
+            'prime2' => $primes[2],
+            'exponent1' => $exponents[1],
+            'exponent2' => $exponents[2],
+            'coefficient' => $coefficients[2]
+        ];
+        for ($i = 3; $i <= $num_primes; $i++) {
+            $key['otherPrimeInfos'][] = [
+                'prime' => $primes[$i],
+                'exponent' => $exponents[$i],
+                'coefficient' => $coefficients[$i]
+            ];
+        }
+
+        $key = ASN1::encodeDER($key, Maps\RSAPrivateKey::MAP);
+
+        return self::wrapPrivateKey($key, 'RSA', $password, $options);
+    }
+
+    /**
+     * Convert a public key to the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $n
+     * @param \phpseclib3\Math\BigInteger $e
+     * @return string
+     */
+    public static function savePublicKey(BigInteger $n, BigInteger $e)
+    {
+        $key = [
+            'modulus' => $n,
+            'publicExponent' => $e
+        ];
+
+        $key = ASN1::encodeDER($key, Maps\RSAPublicKey::MAP);
+
+        return self::wrapPublicKey($key, 'RSA');
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/PKCS8.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/PKCS8.php
new file mode 100644
index 000000000..8ead2c95b
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/PKCS8.php
@@ -0,0 +1,149 @@
+<?php
+
+/**
+ * PKCS#8 Formatted RSA Key Handler
+ *
+ * PHP version 5
+ *
+ * Used by PHP's openssl_public_encrypt() and openssl's rsautl (when -pubin is set)
+ *
+ * Processes keys with the following headers:
+ *
+ * -----BEGIN ENCRYPTED PRIVATE KEY-----
+ * -----BEGIN PRIVATE KEY-----
+ * -----BEGIN PUBLIC KEY-----
+ *
+ * Analogous to ssh-keygen's pkcs8 format (as specified by -m). Although PKCS8
+ * is specific to private keys it's basically creating a DER-encoded wrapper
+ * for keys. This just extends that same concept to public keys (much like ssh-keygen)
+ *
+ * @category  Crypt
+ * @package   RSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\RSA\Formats\Keys;
+
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Crypt\Common\Formats\Keys\PKCS8 as Progenitor;
+use phpseclib3\File\ASN1;
+use phpseclib3\Common\Functions\Strings;
+
+/**
+ * PKCS#8 Formatted RSA Key Handler
+ *
+ * @package RSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PKCS8 extends Progenitor
+{
+    /**
+     * OID Name
+     *
+     * @var string
+     * @access private
+     */
+    const OID_NAME = 'rsaEncryption';
+
+    /**
+     * OID Value
+     *
+     * @var string
+     * @access private
+     */
+    const OID_VALUE = '1.2.840.113549.1.1.1';
+
+    /**
+     * Child OIDs loaded
+     *
+     * @var bool
+     * @access private
+     */
+    protected static $childOIDsLoaded = false;
+
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        if (!Strings::is_stringable($key)) {
+            throw new \UnexpectedValueException('Key should be a string - not a ' . gettype($key));
+        }
+
+        if (strpos($key, 'PUBLIC') !== false) {
+            $components = ['isPublicKey' => true];
+        } elseif (strpos($key, 'PRIVATE') !== false) {
+            $components = ['isPublicKey' => false];
+        } else {
+            $components = [];
+        }
+
+        $key = parent::load($key, $password);
+
+        if (isset($key['privateKey'])) {
+            if (!isset($components['isPublicKey'])) {
+                $components['isPublicKey'] = false;
+            }
+            $type = 'private';
+        } else {
+            if (!isset($components['isPublicKey'])) {
+                $components['isPublicKey'] = true;
+            }
+            $type = 'public';
+        }
+
+        $result = $components + PKCS1::load($key[$type . 'Key']);
+
+        if (isset($key['meta'])) {
+            $result['meta'] = $key['meta'];
+        }
+
+        return $result;
+    }
+
+    /**
+     * Convert a private key to the appropriate format.
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $n
+     * @param \phpseclib3\Math\BigInteger $e
+     * @param \phpseclib3\Math\BigInteger $d
+     * @param array $primes
+     * @param array $exponents
+     * @param array $coefficients
+     * @param string $password optional
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePrivateKey(BigInteger $n, BigInteger $e, BigInteger $d, array $primes, array $exponents, array $coefficients, $password = '', array $options = [])
+    {
+        $key = PKCS1::savePrivateKey($n, $e, $d, $primes, $exponents, $coefficients);
+        $key = ASN1::extractBER($key);
+        return self::wrapPrivateKey($key, [], null, $password, $options);
+    }
+
+    /**
+     * Convert a public key to the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $n
+     * @param \phpseclib3\Math\BigInteger $e
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePublicKey(BigInteger $n, BigInteger $e, array $options = [])
+    {
+        $key = PKCS1::savePublicKey($n, $e);
+        $key = ASN1::extractBER($key);
+        return self::wrapPublicKey($key, null);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/PSS.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/PSS.php
new file mode 100644
index 000000000..813653aef
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/PSS.php
@@ -0,0 +1,250 @@
+<?php
+
+/**
+ * PKCS#8 Formatted RSA-PSS Key Handler
+ *
+ * PHP version 5
+ *
+ * Used by PHP's openssl_public_encrypt() and openssl's rsautl (when -pubin is set)
+ *
+ * Processes keys with the following headers:
+ *
+ * -----BEGIN ENCRYPTED PRIVATE KEY-----
+ * -----BEGIN PRIVATE KEY-----
+ * -----BEGIN PUBLIC KEY-----
+ *
+ * Analogous to "openssl genpkey -algorithm rsa-pss".
+ *
+ * @category  Crypt
+ * @package   RSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\RSA\Formats\Keys;
+
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Crypt\Common\Formats\Keys\PKCS8 as Progenitor;
+use phpseclib3\File\ASN1;
+use phpseclib3\File\ASN1\Maps;
+use phpseclib3\Common\Functions\Strings;
+
+/**
+ * PKCS#8 Formatted RSA-PSS Key Handler
+ *
+ * @package RSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PSS extends Progenitor
+{
+    /**
+     * OID Name
+     *
+     * @var string
+     * @access private
+     */
+    const OID_NAME = 'id-RSASSA-PSS';
+
+    /**
+     * OID Value
+     *
+     * @var string
+     * @access private
+     */
+    const OID_VALUE = '1.2.840.113549.1.1.10';
+
+    /**
+     * OIDs loaded
+     *
+     * @var bool
+     * @access private
+     */
+    private static $oidsLoaded = false;
+
+    /**
+     * Child OIDs loaded
+     *
+     * @var bool
+     * @access private
+     */
+    protected static $childOIDsLoaded = false;
+
+    /**
+     * Initialize static variables
+     */
+    private static function initialize_static_variables()
+    {
+        if (!self::$oidsLoaded) {
+            ASN1::loadOIDs([
+                'md2' => '1.2.840.113549.2.2',
+                'md4' => '1.2.840.113549.2.4',
+                'md5' => '1.2.840.113549.2.5',
+                'id-sha1' => '1.3.14.3.2.26',
+                'id-sha256' => '2.16.840.1.101.3.4.2.1',
+                'id-sha384' => '2.16.840.1.101.3.4.2.2',
+                'id-sha512' => '2.16.840.1.101.3.4.2.3',
+                'id-sha224' => '2.16.840.1.101.3.4.2.4',
+                'id-sha512/224' => '2.16.840.1.101.3.4.2.5',
+                'id-sha512/256' => '2.16.840.1.101.3.4.2.6',
+
+                'id-mgf1' => '1.2.840.113549.1.1.8'
+            ]);
+            self::$oidsLoaded = true;
+        }
+    }
+
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        self::initialize_static_variables();
+
+        if (!Strings::is_stringable($key)) {
+            throw new \UnexpectedValueException('Key should be a string - not a ' . gettype($key));
+        }
+
+        $components = ['isPublicKey' => strpos($key, 'PUBLIC') !== false];
+
+        $key = parent::load($key, $password);
+
+        $type = isset($key['privateKey']) ? 'private' : 'public';
+
+        $result = $components + PKCS1::load($key[$type . 'Key']);
+
+        if (isset($key[$type . 'KeyAlgorithm']['parameters'])) {
+            $decoded = ASN1::decodeBER($key[$type . 'KeyAlgorithm']['parameters']);
+            if ($decoded === false) {
+                throw new \UnexpectedValueException('Unable to decode parameters');
+            }
+            $params = ASN1::asn1map($decoded[0], Maps\RSASSA_PSS_params::MAP);
+        } else {
+            $params = [];
+        }
+
+        if (isset($params['maskGenAlgorithm']['parameters'])) {
+            $decoded = ASN1::decodeBER($params['maskGenAlgorithm']['parameters']);
+            if ($decoded === false) {
+                throw new \UnexpectedValueException('Unable to decode parameters');
+            }
+            $params['maskGenAlgorithm']['parameters'] = ASN1::asn1map($decoded[0], Maps\HashAlgorithm::MAP);
+        } else {
+            $params['maskGenAlgorithm'] = [
+                'algorithm' => 'id-mgf1',
+                'parameters' => ['algorithm' => 'id-sha1']
+            ];
+        }
+
+        if (!isset($params['hashAlgorithm']['algorithm'])) {
+            $params['hashAlgorithm']['algorithm'] = 'id-sha1';
+        }
+
+        $result['hash'] = str_replace('id-', '', $params['hashAlgorithm']['algorithm']);
+        $result['MGFHash'] = str_replace('id-', '', $params['maskGenAlgorithm']['parameters']['algorithm']);
+        if (isset($params['saltLength'])) {
+            $result['saltLength'] = (int) $params['saltLength']->toString();
+        }
+
+        if (isset($key['meta'])) {
+            $result['meta'] = $key['meta'];
+        }
+
+        return $result;
+    }
+
+    /**
+     * Convert a private key to the appropriate format.
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $n
+     * @param \phpseclib3\Math\BigInteger $e
+     * @param \phpseclib3\Math\BigInteger $d
+     * @param array $primes
+     * @param array $exponents
+     * @param array $coefficients
+     * @param string $password optional
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePrivateKey(BigInteger $n, BigInteger $e, BigInteger $d, array $primes, array $exponents, array $coefficients, $password = '', array $options = [])
+    {
+        self::initialize_static_variables();
+
+        $key = PKCS1::savePrivateKey($n, $e, $d, $primes, $exponents, $coefficients);
+        $key = ASN1::extractBER($key);
+        $params = self::savePSSParams($options);
+        return self::wrapPrivateKey($key, [], $params, $password, $options);
+    }
+
+    /**
+     * Convert a public key to the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $n
+     * @param \phpseclib3\Math\BigInteger $e
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePublicKey(BigInteger $n, BigInteger $e, array $options = [])
+    {
+        self::initialize_static_variables();
+
+        $key = PKCS1::savePublicKey($n, $e);
+        $key = ASN1::extractBER($key);
+        $params = self::savePSSParams($options);
+        return self::wrapPublicKey($key, $params);
+    }
+
+    /**
+     * Encodes PSS parameters
+     *
+     * @access public
+     * @param array $options
+     * @return string
+     */
+    public static function savePSSParams(array $options)
+    {
+        /*
+         The trailerField field is an integer.  It provides
+         compatibility with IEEE Std 1363a-2004 [P1363A].  The value
+         MUST be 1, which represents the trailer field with hexadecimal
+         value 0xBC.  Other trailer fields, including the trailer field
+         composed of HashID concatenated with 0xCC that is specified in
+         IEEE Std 1363a, are not supported.  Implementations that
+         perform signature generation MUST omit the trailerField field,
+         indicating that the default trailer field value was used.
+         Implementations that perform signature validation MUST
+         recognize both a present trailerField field with value 1 and an
+         absent trailerField field.
+
+         source: https://tools.ietf.org/html/rfc4055#page-9
+        */
+        $params = [
+            'trailerField' => new BigInteger(1)
+        ];
+        if (isset($options['hash'])) {
+            $params['hashAlgorithm']['algorithm'] = 'id-' . $options['hash'];
+        }
+        if (isset($options['MGFHash'])) {
+            $temp = ['algorithm' => 'id-' . $options['MGFHash']];
+            $temp = ASN1::encodeDER($temp, Maps\HashAlgorithm::MAP);
+            $params['maskGenAlgorithm'] = [
+                'algorithm' => 'id-mgf1',
+                'parameters' => new ASN1\Element($temp)
+            ];
+        }
+        if (isset($options['saltLength'])) {
+            $params['saltLength'] = new BigInteger($options['saltLength']);
+        }
+
+        return new ASN1\Element(ASN1::encodeDER($params, Maps\RSASSA_PSS_params::MAP));
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/PuTTY.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/PuTTY.php
new file mode 100644
index 000000000..4c93b873d
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/PuTTY.php
@@ -0,0 +1,130 @@
+<?php
+
+/**
+ * PuTTY Formatted RSA Key Handler
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   RSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\RSA\Formats\Keys;
+
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Crypt\Common\Formats\Keys\PuTTY as Progenitor;
+
+/**
+ * PuTTY Formatted RSA Key Handler
+ *
+ * @package RSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PuTTY extends Progenitor
+{
+    /**
+     * Public Handler
+     *
+     * @var string
+     * @access private
+     */
+    const PUBLIC_HANDLER = 'phpseclib3\Crypt\RSA\Formats\Keys\OpenSSH';
+
+    /**
+     * Algorithm Identifier
+     *
+     * @var array
+     * @access private
+     */
+    protected static $types = ['ssh-rsa'];
+
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        static $one;
+        if (!isset($one)) {
+            $one = new BigInteger(1);
+        }
+
+        $components = parent::load($key, $password);
+        if (!isset($components['private'])) {
+            return $components;
+        }
+        extract($components);
+        unset($components['public'], $components['private']);
+
+        $isPublicKey = false;
+
+        $result = Strings::unpackSSH2('ii', $public);
+        if ($result === false) {
+            throw new \UnexpectedValueException('Key appears to be malformed');
+        }
+        list($publicExponent, $modulus) = $result;
+
+        $result = Strings::unpackSSH2('iiii', $private);
+        if ($result === false) {
+            throw new \UnexpectedValueException('Key appears to be malformed');
+        }
+        $primes = $coefficients = [];
+        list($privateExponent, $primes[1], $primes[2], $coefficients[2]) = $result;
+
+        $temp = $primes[1]->subtract($one);
+        $exponents = [1 => $publicExponent->modInverse($temp)];
+        $temp = $primes[2]->subtract($one);
+        $exponents[] = $publicExponent->modInverse($temp);
+
+        return compact('publicExponent', 'modulus', 'privateExponent', 'primes', 'coefficients', 'exponents', 'comment', 'isPublicKey');
+    }
+
+    /**
+     * Convert a private key to the appropriate format.
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $n
+     * @param \phpseclib3\Math\BigInteger $e
+     * @param \phpseclib3\Math\BigInteger $d
+     * @param array $primes
+     * @param array $exponents
+     * @param array $coefficients
+     * @param string $password optional
+     * @param array $options optional
+     * @return string
+     */
+    public static function savePrivateKey(BigInteger $n, BigInteger $e, BigInteger $d, array $primes, array $exponents, array $coefficients, $password = '', array $options = [])
+    {
+        if (count($primes) != 2) {
+            throw new \InvalidArgumentException('PuTTY does not support multi-prime RSA keys');
+        }
+
+        $public =  Strings::packSSH2('ii', $e, $n);
+        $private = Strings::packSSH2('iiii', $d, $primes[1], $primes[2], $coefficients[2]);
+
+        return self::wrapPrivateKey($public, $private, 'ssh-rsa', $password, $options);
+    }
+
+    /**
+     * Convert a public key to the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $n
+     * @param \phpseclib3\Math\BigInteger $e
+     * @return string
+     */
+    public static function savePublicKey(BigInteger $n, BigInteger $e)
+    {
+        return self::wrapPublicKey(Strings::packSSH2('ii', $e, $n), 'ssh-rsa');
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/Raw.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/Raw.php
new file mode 100644
index 000000000..49d789285
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/Raw.php
@@ -0,0 +1,108 @@
+<?php
+
+/**
+ * Raw RSA Key Handler
+ *
+ * PHP version 5
+ *
+ * An array containing two \phpseclib3\Math\BigInteger objects.
+ *
+ * The exponent can be indexed with any of the following:
+ *
+ * 0, e, exponent, publicExponent
+ *
+ * The modulus can be indexed with any of the following:
+ *
+ * 1, n, modulo, modulus
+ *
+ * @category  Crypt
+ * @package   RSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\RSA\Formats\Keys;
+
+use phpseclib3\Math\BigInteger;
+
+/**
+ * Raw RSA Key Handler
+ *
+ * @package RSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Raw
+{
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        if (!is_array($key)) {
+            throw new \UnexpectedValueException('Key should be a array - not a ' . gettype($key));
+        }
+        if (isset($key['isPublicKey']) && isset($key['modulus'])) {
+            if (isset($key['privateExponent']) || isset($key['publicExponent'])) {
+                if (!isset($key['primes'])) {
+                    return $key;
+                }
+                if (isset($key['exponents']) && isset($key['coefficients']) && isset($key['publicExponent']) && isset($key['privateExponent'])) {
+                    return $key;
+                }
+            }
+        }
+        $components = ['isPublicKey' => true];
+        switch (true) {
+            case isset($key['e']):
+                $components['publicExponent'] = $key['e'];
+                break;
+            case isset($key['exponent']):
+                $components['publicExponent'] = $key['exponent'];
+                break;
+            case isset($key['publicExponent']):
+                $components['publicExponent'] = $key['publicExponent'];
+                break;
+            case isset($key[0]):
+                $components['publicExponent'] = $key[0];
+        }
+        switch (true) {
+            case isset($key['n']):
+                $components['modulus'] = $key['n'];
+                break;
+            case isset($key['modulo']):
+                $components['modulus'] = $key['modulo'];
+                break;
+            case isset($key['modulus']):
+                $components['modulus'] = $key['modulus'];
+                break;
+            case isset($key[1]):
+                $components['modulus'] = $key[1];
+        }
+        if (isset($components['modulus']) && isset($components['publicExponent'])) {
+            return $components;
+        }
+
+        throw new \UnexpectedValueException('Modulus / exponent not present');
+    }
+
+    /**
+     * Convert a public key to the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $n
+     * @param \phpseclib3\Math\BigInteger $e
+     * @return array
+     */
+    public static function savePublicKey(BigInteger $n, BigInteger $e)
+    {
+        return ['e' => clone $e, 'n' => clone $n];
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/XML.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/XML.php
new file mode 100644
index 000000000..389f93a82
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/Formats/Keys/XML.php
@@ -0,0 +1,173 @@
+<?php
+
+/**
+ * XML Formatted RSA Key Handler
+ *
+ * More info:
+ *
+ * http://www.w3.org/TR/xmldsig-core/#sec-RSAKeyValue
+ * http://www.w3.org/TR/xkms2/#XKMS_2_0_Paragraph_269
+ * http://en.wikipedia.org/wiki/XML_Signature
+ * http://en.wikipedia.org/wiki/XKMS
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   RSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\RSA\Formats\Keys;
+
+use ParagonIE\ConstantTime\Base64;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Exception\UnsupportedFormatException;
+
+/**
+ * XML Formatted RSA Key Handler
+ *
+ * @package RSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class XML
+{
+    /**
+     * Break a public or private key down into its constituent components
+     *
+     * @access public
+     * @param string $key
+     * @param string $password optional
+     * @return array
+     */
+    public static function load($key, $password = '')
+    {
+        if (!Strings::is_stringable($key)) {
+            throw new \UnexpectedValueException('Key should be a string - not a ' . gettype($key));
+        }
+
+        $components = [
+            'isPublicKey' => false,
+            'primes' => [],
+            'exponents' => [],
+            'coefficients' => []
+        ];
+
+        $use_errors = libxml_use_internal_errors(true);
+
+        $dom = new \DOMDocument();
+        if (substr($key, 0, 5) != '<?xml') {
+            $key = '<xml>' . $key . '</xml>';
+        }
+        if (!$dom->loadXML($key)) {
+            throw new \UnexpectedValueException('Key does not appear to contain XML');
+        }
+        $xpath = new \DOMXPath($dom);
+        $keys = ['modulus', 'exponent', 'p', 'q', 'dp', 'dq', 'inverseq', 'd'];
+        foreach ($keys as $key) {
+            // $dom->getElementsByTagName($key) is case-sensitive
+            $temp = $xpath->query("//*[translate(local-name(), 'ABCDEFGHIJKLMNOPQRSTUVWXYZ','abcdefghijklmnopqrstuvwxyz')='$key']");
+            if (!$temp->length) {
+                continue;
+            }
+            $value = new BigInteger(Base64::decode($temp->item(0)->nodeValue), 256);
+            switch ($key) {
+                case 'modulus':
+                    $components['modulus'] = $value;
+                    break;
+                case 'exponent':
+                    $components['publicExponent'] = $value;
+                    break;
+                case 'p':
+                    $components['primes'][1] = $value;
+                    break;
+                case 'q':
+                    $components['primes'][2] = $value;
+                    break;
+                case 'dp':
+                    $components['exponents'][1] = $value;
+                    break;
+                case 'dq':
+                    $components['exponents'][2] = $value;
+                    break;
+                case 'inverseq':
+                    $components['coefficients'][2] = $value;
+                    break;
+                case 'd':
+                    $components['privateExponent'] = $value;
+            }
+        }
+
+        libxml_use_internal_errors($use_errors);
+
+        foreach ($components as $key => $value) {
+            if (is_array($value) && !count($value)) {
+                unset($components[$key]);
+            }
+        }
+
+        if (isset($components['modulus']) && isset($components['publicExponent'])) {
+            if (count($components) == 3) {
+                $components['isPublicKey'] = true;
+            }
+            return $components;
+        }
+
+        throw new \UnexpectedValueException('Modulus / exponent not present');
+    }
+
+    /**
+     * Convert a private key to the appropriate format.
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $n
+     * @param \phpseclib3\Math\BigInteger $e
+     * @param \phpseclib3\Math\BigInteger $d
+     * @param array $primes
+     * @param array $exponents
+     * @param array $coefficients
+     * @param string $password optional
+     * @return string
+     */
+    public static function savePrivateKey(BigInteger $n, BigInteger $e, BigInteger $d, array $primes, array $exponents, array $coefficients, $password = '')
+    {
+        if (count($primes) != 2) {
+            throw new \InvalidArgumentException('XML does not support multi-prime RSA keys');
+        }
+
+        if (!empty($password) && is_string($password)) {
+            throw new UnsupportedFormatException('XML private keys do not support encryption');
+        }
+
+        return "<RSAKeyPair>\r\n" .
+               '  <Modulus>' . Base64::encode($n->toBytes()) . "</Modulus>\r\n" .
+               '  <Exponent>' . Base64::encode($e->toBytes()) . "</Exponent>\r\n" .
+               '  <P>' . Base64::encode($primes[1]->toBytes()) . "</P>\r\n" .
+               '  <Q>' . Base64::encode($primes[2]->toBytes()) . "</Q>\r\n" .
+               '  <DP>' . Base64::encode($exponents[1]->toBytes()) . "</DP>\r\n" .
+               '  <DQ>' . Base64::encode($exponents[2]->toBytes()) . "</DQ>\r\n" .
+               '  <InverseQ>' . Base64::encode($coefficients[2]->toBytes()) . "</InverseQ>\r\n" .
+               '  <D>' . Base64::encode($d->toBytes()) . "</D>\r\n" .
+               '</RSAKeyPair>';
+    }
+
+    /**
+     * Convert a public key to the appropriate format
+     *
+     * @access public
+     * @param \phpseclib3\Math\BigInteger $n
+     * @param \phpseclib3\Math\BigInteger $e
+     * @return string
+     */
+    public static function savePublicKey(BigInteger $n, BigInteger $e)
+    {
+        return "<RSAKeyValue>\r\n" .
+               '  <Modulus>' . Base64::encode($n->toBytes()) . "</Modulus>\r\n" .
+               '  <Exponent>' . Base64::encode($e->toBytes()) . "</Exponent>\r\n" .
+               '</RSAKeyValue>';
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/PrivateKey.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/PrivateKey.php
new file mode 100644
index 000000000..5205ce63d
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/PrivateKey.php
@@ -0,0 +1,556 @@
+<?php
+
+/**
+ * RSA Private Key
+ *
+ * @category  Crypt
+ * @package   RSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\RSA;
+
+use phpseclib3\Crypt\RSA;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\File\ASN1;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Crypt\Hash;
+use phpseclib3\Exceptions\NoKeyLoadedException;
+use phpseclib3\Exception\UnsupportedFormatException;
+use phpseclib3\Crypt\Random;
+use phpseclib3\Crypt\Common;
+use phpseclib3\Crypt\RSA\Formats\Keys\PSS;
+
+/**
+ * Raw RSA Key Handler
+ *
+ * @package RSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class PrivateKey extends RSA implements Common\PrivateKey
+{
+    use Common\Traits\PasswordProtected;
+
+    /**
+     * Primes for Chinese Remainder Theorem (ie. p and q)
+     *
+     * @var array
+     * @access private
+     */
+    protected $primes;
+
+    /**
+     * Exponents for Chinese Remainder Theorem (ie. dP and dQ)
+     *
+     * @var array
+     * @access private
+     */
+    protected $exponents;
+
+    /**
+     * Coefficients for Chinese Remainder Theorem (ie. qInv)
+     *
+     * @var array
+     * @access private
+     */
+    protected $coefficients;
+
+    /**
+     * Public Exponent
+     *
+     * @var mixed
+     * @access private
+     */
+    protected $publicExponent = false;
+
+    /**
+     * RSADP
+     *
+     * See {@link http://tools.ietf.org/html/rfc3447#section-5.1.2 RFC3447#section-5.1.2}.
+     *
+     * @access private
+     * @param \phpseclib3\Math\BigInteger $c
+     * @return bool|\phpseclib3\Math\BigInteger
+     */
+    private function rsadp($c)
+    {
+        if ($c->compare(self::$zero) < 0 || $c->compare($this->modulus) > 0) {
+            throw new \OutOfRangeException('Ciphertext representative out of range');
+        }
+        return $this->exponentiate($c);
+    }
+
+    /**
+     * RSASP1
+     *
+     * See {@link http://tools.ietf.org/html/rfc3447#section-5.2.1 RFC3447#section-5.2.1}.
+     *
+     * @access private
+     * @param \phpseclib3\Math\BigInteger $m
+     * @return bool|\phpseclib3\Math\BigInteger
+     */
+    private function rsasp1($m)
+    {
+        if ($m->compare(self::$zero) < 0 || $m->compare($this->modulus) > 0) {
+            throw new \OutOfRangeException('Signature representative out of range');
+        }
+        return $this->exponentiate($m);
+    }
+
+    /**
+     * Exponentiate
+     *
+     * @param \phpseclib3\Math\BigInteger $x
+     * @return \phpseclib3\Math\BigInteger
+     */
+    protected function exponentiate(BigInteger $x)
+    {
+        switch (true) {
+            case empty($this->primes):
+            case $this->primes[1]->equals(self::$zero):
+            case empty($this->coefficients):
+            case $this->coefficients[2]->equals(self::$zero):
+            case empty($this->exponents):
+            case $this->exponents[1]->equals(self::$zero):
+                return $x->modPow($this->exponent, $this->modulus);
+        }
+
+        $num_primes = count($this->primes);
+
+        if (!static::$enableBlinding) {
+            $m_i = [
+                1 => $x->modPow($this->exponents[1], $this->primes[1]),
+                2 => $x->modPow($this->exponents[2], $this->primes[2])
+            ];
+            $h = $m_i[1]->subtract($m_i[2]);
+            $h = $h->multiply($this->coefficients[2]);
+            list(, $h) = $h->divide($this->primes[1]);
+            $m = $m_i[2]->add($h->multiply($this->primes[2]));
+
+            $r = $this->primes[1];
+            for ($i = 3; $i <= $num_primes; $i++) {
+                $m_i = $x->modPow($this->exponents[$i], $this->primes[$i]);
+
+                $r = $r->multiply($this->primes[$i - 1]);
+
+                $h = $m_i->subtract($m);
+                $h = $h->multiply($this->coefficients[$i]);
+                list(, $h) = $h->divide($this->primes[$i]);
+
+                $m = $m->add($r->multiply($h));
+            }
+        } else {
+            $smallest = $this->primes[1];
+            for ($i = 2; $i <= $num_primes; $i++) {
+                if ($smallest->compare($this->primes[$i]) > 0) {
+                    $smallest = $this->primes[$i];
+                }
+            }
+
+            $r = BigInteger::randomRange(self::$one, $smallest->subtract(self::$one));
+
+            $m_i = [
+                1 => $this->blind($x, $r, 1),
+                2 => $this->blind($x, $r, 2)
+            ];
+            $h = $m_i[1]->subtract($m_i[2]);
+            $h = $h->multiply($this->coefficients[2]);
+            list(, $h) = $h->divide($this->primes[1]);
+            $m = $m_i[2]->add($h->multiply($this->primes[2]));
+
+            $r = $this->primes[1];
+            for ($i = 3; $i <= $num_primes; $i++) {
+                $m_i = $this->blind($x, $r, $i);
+
+                $r = $r->multiply($this->primes[$i - 1]);
+
+                $h = $m_i->subtract($m);
+                $h = $h->multiply($this->coefficients[$i]);
+                list(, $h) = $h->divide($this->primes[$i]);
+
+                $m = $m->add($r->multiply($h));
+            }
+        }
+
+        return $m;
+    }
+
+    /**
+     * Performs RSA Blinding
+     *
+     * Protects against timing attacks by employing RSA Blinding.
+     * Returns $x->modPow($this->exponents[$i], $this->primes[$i])
+     *
+     * @access private
+     * @param \phpseclib3\Math\BigInteger $x
+     * @param \phpseclib3\Math\BigInteger $r
+     * @param int $i
+     * @return \phpseclib3\Math\BigInteger
+     */
+    private function blind($x, $r, $i)
+    {
+        $x = $x->multiply($r->modPow($this->publicExponent, $this->primes[$i]));
+        $x = $x->modPow($this->exponents[$i], $this->primes[$i]);
+
+        $r = $r->modInverse($this->primes[$i]);
+        $x = $x->multiply($r);
+        list(, $x) = $x->divide($this->primes[$i]);
+
+        return $x;
+    }
+
+    /**
+     * EMSA-PSS-ENCODE
+     *
+     * See {@link http://tools.ietf.org/html/rfc3447#section-9.1.1 RFC3447#section-9.1.1}.
+     *
+     * @return string
+     * @access private
+     * @param string $m
+     * @throws \RuntimeException on encoding error
+     * @param int $emBits
+     */
+    private function emsa_pss_encode($m, $emBits)
+    {
+        // if $m is larger than two million terrabytes and you're using sha1, PKCS#1 suggests a "Label too long" error
+        // be output.
+
+        $emLen = ($emBits + 1) >> 3; // ie. ceil($emBits / 8)
+        $sLen = $this->sLen !== null ? $this->sLen : $this->hLen;
+
+        $mHash = $this->hash->hash($m);
+        if ($emLen < $this->hLen + $sLen + 2) {
+            throw new \LengthException('RSA modulus too short');
+        }
+
+        $salt = Random::string($sLen);
+        $m2 = "\0\0\0\0\0\0\0\0" . $mHash . $salt;
+        $h = $this->hash->hash($m2);
+        $ps = str_repeat(chr(0), $emLen - $sLen - $this->hLen - 2);
+        $db = $ps . chr(1) . $salt;
+        $dbMask = $this->mgf1($h, $emLen - $this->hLen - 1);
+        $maskedDB = $db ^ $dbMask;
+        $maskedDB[0] = ~chr(0xFF << ($emBits & 7)) & $maskedDB[0];
+        $em = $maskedDB . $h . chr(0xBC);
+
+        return $em;
+    }
+
+    /**
+     * RSASSA-PSS-SIGN
+     *
+     * See {@link http://tools.ietf.org/html/rfc3447#section-8.1.1 RFC3447#section-8.1.1}.
+     *
+     * @access private
+     * @param string $m
+     * @return bool|string
+     */
+    private function rsassa_pss_sign($m)
+    {
+        // EMSA-PSS encoding
+
+        $em = $this->emsa_pss_encode($m, 8 * $this->k - 1);
+
+        // RSA signature
+
+        $m = $this->os2ip($em);
+        $s = $this->rsasp1($m);
+        $s = $this->i2osp($s, $this->k);
+
+        // Output the signature S
+
+        return $s;
+    }
+
+    /**
+     * RSASSA-PKCS1-V1_5-SIGN
+     *
+     * See {@link http://tools.ietf.org/html/rfc3447#section-8.2.1 RFC3447#section-8.2.1}.
+     *
+     * @access private
+     * @param string $m
+     * @throws \LengthException if the RSA modulus is too short
+     * @return bool|string
+     */
+    private function rsassa_pkcs1_v1_5_sign($m)
+    {
+        // EMSA-PKCS1-v1_5 encoding
+
+        // If the encoding operation outputs "intended encoded message length too short," output "RSA modulus
+        // too short" and stop.
+        try {
+            $em = $this->emsa_pkcs1_v1_5_encode($m, $this->k);
+        } catch (\LengthException $e) {
+            throw new \LengthException('RSA modulus too short');
+        }
+
+        // RSA signature
+
+        $m = $this->os2ip($em);
+        $s = $this->rsasp1($m);
+        $s = $this->i2osp($s, $this->k);
+
+        // Output the signature S
+
+        return $s;
+    }
+
+    /**
+     * Create a signature
+     *
+     * @see self::verify()
+     * @access public
+     * @param string $message
+     * @return string
+     */
+    public function sign($message)
+    {
+        switch ($this->signaturePadding) {
+            case self::SIGNATURE_PKCS1:
+            case self::SIGNATURE_RELAXED_PKCS1:
+                return $this->rsassa_pkcs1_v1_5_sign($message);
+            //case self::SIGNATURE_PSS:
+            default:
+                return $this->rsassa_pss_sign($message);
+        }
+    }
+
+    /**
+     * RSAES-PKCS1-V1_5-DECRYPT
+     *
+     * See {@link http://tools.ietf.org/html/rfc3447#section-7.2.2 RFC3447#section-7.2.2}.
+     *
+     * @access private
+     * @param string $c
+     * @return bool|string
+     */
+    private function rsaes_pkcs1_v1_5_decrypt($c)
+    {
+        // Length checking
+
+        if (strlen($c) != $this->k) { // or if k < 11
+            throw new \LengthException('Ciphertext representative too long');
+        }
+
+        // RSA decryption
+
+        $c = $this->os2ip($c);
+        $m = $this->rsadp($c);
+        $em = $this->i2osp($m, $this->k);
+
+        // EME-PKCS1-v1_5 decoding
+
+        if (ord($em[0]) != 0 || ord($em[1]) > 2) {
+            throw new \RuntimeException('Decryption error');
+        }
+
+        $ps = substr($em, 2, strpos($em, chr(0), 2) - 2);
+        $m = substr($em, strlen($ps) + 3);
+
+        if (strlen($ps) < 8) {
+            throw new \RuntimeException('Decryption error');
+        }
+
+        // Output M
+
+        return $m;
+    }
+
+    /**
+     * RSAES-OAEP-DECRYPT
+     *
+     * See {@link http://tools.ietf.org/html/rfc3447#section-7.1.2 RFC3447#section-7.1.2}.  The fact that the error
+     * messages aren't distinguishable from one another hinders debugging, but, to quote from RFC3447#section-7.1.2:
+     *
+     *    Note.  Care must be taken to ensure that an opponent cannot
+     *    distinguish the different error conditions in Step 3.g, whether by
+     *    error message or timing, or, more generally, learn partial
+     *    information about the encoded message EM.  Otherwise an opponent may
+     *    be able to obtain useful information about the decryption of the
+     *    ciphertext C, leading to a chosen-ciphertext attack such as the one
+     *    observed by Manger [36].
+     *
+     * @access private
+     * @param string $c
+     * @return bool|string
+     */
+    private function rsaes_oaep_decrypt($c)
+    {
+        // Length checking
+
+        // if $l is larger than two million terrabytes and you're using sha1, PKCS#1 suggests a "Label too long" error
+        // be output.
+
+        if (strlen($c) != $this->k || $this->k < 2 * $this->hLen + 2) {
+            throw new \LengthException('Ciphertext representative too long');
+        }
+
+        // RSA decryption
+
+        $c = $this->os2ip($c);
+        $m = $this->rsadp($c);
+        $em = $this->i2osp($m, $this->k);
+
+        // EME-OAEP decoding
+
+        $lHash = $this->hash->hash($this->label);
+        $y = ord($em[0]);
+        $maskedSeed = substr($em, 1, $this->hLen);
+        $maskedDB = substr($em, $this->hLen + 1);
+        $seedMask = $this->mgf1($maskedDB, $this->hLen);
+        $seed = $maskedSeed ^ $seedMask;
+        $dbMask = $this->mgf1($seed, $this->k - $this->hLen - 1);
+        $db = $maskedDB ^ $dbMask;
+        $lHash2 = substr($db, 0, $this->hLen);
+        $m = substr($db, $this->hLen);
+        $hashesMatch = hash_equals($lHash, $lHash2);
+        $leadingZeros = 1;
+        $patternMatch = 0;
+        $offset = 0;
+        for ($i = 0; $i < strlen($m); $i++) {
+            $patternMatch|= $leadingZeros & ($m[$i] === "\1");
+            $leadingZeros&= $m[$i] === "\0";
+            $offset+= $patternMatch ? 0 : 1;
+        }
+
+        // we do & instead of && to avoid https://en.wikipedia.org/wiki/Short-circuit_evaluation
+        // to protect against timing attacks
+        if (!$hashesMatch & !$patternMatch) {
+            throw new \RuntimeException('Decryption error');
+        }
+
+        // Output the message M
+
+        return substr($m, $offset + 1);
+    }
+
+    /**
+     * Raw Encryption / Decryption
+     *
+     * Doesn't use padding and is not recommended.
+     *
+     * @access private
+     * @param string $m
+     * @return bool|string
+     * @throws \LengthException if strlen($m) > $this->k
+     */
+    private function raw_encrypt($m)
+    {
+        if (strlen($m) > $this->k) {
+            throw new \LengthException('Ciphertext representative too long');
+        }
+
+        $temp = $this->os2ip($m);
+        $temp = $this->rsadp($temp);
+        return  $this->i2osp($temp, $this->k);
+    }
+
+    /**
+     * Decryption
+     *
+     * @see self::encrypt()
+     * @access public
+     * @param string $ciphertext
+     * @return bool|string
+     */
+    public function decrypt($ciphertext)
+    {
+        switch ($this->encryptionPadding) {
+            case self::ENCRYPTION_NONE:
+                return $this->raw_encrypt($ciphertext);
+            case self::ENCRYPTION_PKCS1:
+                return $this->rsaes_pkcs1_v1_5_decrypt($ciphertext);
+            //case self::ENCRYPTION_OAEP:
+            default:
+                return $this->rsaes_oaep_decrypt($ciphertext);
+        }
+    }
+
+    /**
+     * Returns the public key
+     *
+     * @access public
+     * @return mixed
+     */
+    public function getPublicKey()
+    {
+        $type = self::validatePlugin('Keys', 'PKCS8', 'savePublicKey');
+        if (empty($this->modulus) || empty($this->publicExponent)) {
+            throw new \RuntimeException('Public key components not found');
+        }
+
+        $key = $type::savePublicKey($this->modulus, $this->publicExponent);
+        return RSA::loadFormat('PKCS8', $key)
+            ->withHash($this->hash->getHash())
+            ->withMGFHash($this->mgfHash->getHash())
+            ->withSaltLength($this->sLen)
+            ->withLabel($this->label)
+            ->withPadding($this->signaturePadding | $this->encryptionPadding);
+    }
+
+    /**
+     * Returns the private key
+     *
+     * @param string $type
+     * @param array $options optional
+     * @return string
+     */
+    public function toString($type, array $options = [])
+    {
+        $type = self::validatePlugin(
+            'Keys',
+            $type,
+            empty($this->primes) ? 'savePublicKey' : 'savePrivateKey'
+        );
+
+        if ($type == PSS::class) {
+            if ($this->signaturePadding == self::SIGNATURE_PSS) {
+                $options+= [
+                    'hash' => $this->hash->getHash(),
+                    'MGFHash' => $this->mgfHash->getHash(),
+                    'saltLength' => $this->getSaltLength()
+                ];
+            } else {
+                throw new UnsupportedFormatException('The PSS format can only be used when the signature method has been explicitly set to PSS');
+            }
+        }
+
+        if (empty($this->primes)) {
+            return $type::savePublicKey($this->modulus, $this->exponent, $options);
+        }
+
+        return $type::savePrivateKey($this->modulus, $this->publicExponent, $this->exponent, $this->primes, $this->exponents, $this->coefficients, $this->password, $options);
+
+        /*
+        $key = $type::savePrivateKey($this->modulus, $this->publicExponent, $this->exponent, $this->primes, $this->exponents, $this->coefficients, $this->password, $options);
+        if ($key !== false || count($this->primes) == 2) {
+            return $key;
+        }
+
+        $nSize = $this->getSize() >> 1;
+
+        $primes = [1 => clone self::$one, clone self::$one];
+        $i = 1;
+        foreach ($this->primes as $prime) {
+            $primes[$i] = $primes[$i]->multiply($prime);
+            if ($primes[$i]->getLength() >= $nSize) {
+                $i++;
+            }
+        }
+
+        $exponents = [];
+        $coefficients = [2 => $primes[2]->modInverse($primes[1])];
+
+        foreach ($primes as $i => $prime) {
+            $temp = $prime->subtract(self::$one);
+            $exponents[$i] = $this->modulus->modInverse($temp);
+        }
+
+        return $type::savePrivateKey($this->modulus, $this->publicExponent, $this->exponent, $primes, $exponents, $coefficients, $this->password, $options);
+        */
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/PublicKey.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/PublicKey.php
new file mode 100644
index 000000000..3475ad999
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/RSA/PublicKey.php
@@ -0,0 +1,507 @@
+<?php
+
+/**
+ * RSA Public Key
+ *
+ * @category  Crypt
+ * @package   RSA
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt\RSA;
+
+use phpseclib3\Crypt\RSA;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\File\ASN1;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Crypt\Hash;
+use phpseclib3\Exception\NoKeyLoadedException;
+use phpseclib3\Exception\UnsupportedFormatException;
+use phpseclib3\Crypt\Random;
+use phpseclib3\Crypt\Common;
+use phpseclib3\File\ASN1\Maps\DigestInfo;
+use phpseclib3\Crypt\RSA\Formats\Keys\PSS;
+
+/**
+ * Raw RSA Key Handler
+ *
+ * @package RSA
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class PublicKey extends RSA implements Common\PublicKey
+{
+    use Common\Traits\Fingerprint;
+
+    /**
+     * Exponentiate
+     *
+     * @param \phpseclib3\Math\BigInteger $x
+     * @return \phpseclib3\Math\BigInteger
+     */
+    private function exponentiate(BigInteger $x)
+    {
+        return $x->modPow($this->exponent, $this->modulus);
+    }
+
+    /**
+     * RSAVP1
+     *
+     * See {@link http://tools.ietf.org/html/rfc3447#section-5.2.2 RFC3447#section-5.2.2}.
+     *
+     * @access private
+     * @param \phpseclib3\Math\BigInteger $s
+     * @return bool|\phpseclib3\Math\BigInteger
+     */
+    private function rsavp1($s)
+    {
+        if ($s->compare(self::$zero) < 0 || $s->compare($this->modulus) > 0) {
+            return false;
+        }
+        return $this->exponentiate($s);
+    }
+
+    /**
+     * RSASSA-PKCS1-V1_5-VERIFY
+     *
+     * See {@link http://tools.ietf.org/html/rfc3447#section-8.2.2 RFC3447#section-8.2.2}.
+     *
+     * @access private
+     * @param string $m
+     * @param string $s
+     * @throws \LengthException if the RSA modulus is too short
+     * @return bool
+     */
+    private function rsassa_pkcs1_v1_5_verify($m, $s)
+    {
+        // Length checking
+
+        if (strlen($s) != $this->k) {
+            return false;
+        }
+
+        // RSA verification
+
+        $s = $this->os2ip($s);
+        $m2 = $this->rsavp1($s);
+        if ($m2 === false) {
+            return false;
+        }
+        $em = $this->i2osp($m2, $this->k);
+        if ($em === false) {
+            return false;
+        }
+
+        // EMSA-PKCS1-v1_5 encoding
+
+        // If the encoding operation outputs "intended encoded message length too short," output "RSA modulus
+        // too short" and stop.
+        try {
+            $em2 = $this->emsa_pkcs1_v1_5_encode($m, $this->k);
+        } catch (\LengthException $e) {
+            throw new \LengthException('RSA modulus too short');
+        }
+
+        // Compare
+        return hash_equals($em, $em2);
+    }
+
+    /**
+     * RSASSA-PKCS1-V1_5-VERIFY (relaxed matching)
+     *
+     * Per {@link http://tools.ietf.org/html/rfc3447#page-43 RFC3447#page-43} PKCS1 v1.5
+     * specified the use BER encoding rather than DER encoding that PKCS1 v2.0 specified.
+     * This means that under rare conditions you can have a perfectly valid v1.5 signature
+     * that fails to validate with _rsassa_pkcs1_v1_5_verify(). PKCS1 v2.1 also recommends
+     * that if you're going to validate these types of signatures you "should indicate
+     * whether the underlying BER encoding is a DER encoding and hence whether the signature
+     * is valid with respect to the specification given in [PKCS1 v2.0+]". so if you do
+     * $rsa->getLastPadding() and get RSA::PADDING_RELAXED_PKCS1 back instead of
+     * RSA::PADDING_PKCS1... that means BER encoding was used.
+     *
+     * @access private
+     * @param string $m
+     * @param string $s
+     * @return bool
+     */
+    private function rsassa_pkcs1_v1_5_relaxed_verify($m, $s)
+    {
+        // Length checking
+
+        if (strlen($s) != $this->k) {
+            return false;
+        }
+
+        // RSA verification
+
+        $s = $this->os2ip($s);
+        $m2 = $this->rsavp1($s);
+        if ($m2 === false) {
+            return false;
+        }
+        $em = $this->i2osp($m2, $this->k);
+        if ($em === false) {
+            return false;
+        }
+
+        if (Strings::shift($em, 2) != "\0\1") {
+            return false;
+        }
+
+        $em = ltrim($em, "\xFF");
+        if (Strings::shift($em) != "\0") {
+            return false;
+        }
+
+        $decoded = ASN1::decodeBER($em);
+        if (!is_array($decoded) || empty($decoded[0]) || strlen($em) > $decoded[0]['length']) {
+            return false;
+        }
+
+        static $oids;
+        if (!isset($oids)) {
+            $oids = [
+                'md2' => '1.2.840.113549.2.2',
+                'md4' => '1.2.840.113549.2.4', // from PKCS1 v1.5
+                'md5' => '1.2.840.113549.2.5',
+                'id-sha1' => '1.3.14.3.2.26',
+                'id-sha256' => '2.16.840.1.101.3.4.2.1',
+                'id-sha384' => '2.16.840.1.101.3.4.2.2',
+                'id-sha512' => '2.16.840.1.101.3.4.2.3',
+                // from PKCS1 v2.2
+                'id-sha224' => '2.16.840.1.101.3.4.2.4',
+                'id-sha512/224' => '2.16.840.1.101.3.4.2.5',
+                'id-sha512/256' => '2.16.840.1.101.3.4.2.6',
+            ];
+            ASN1::loadOIDs($oids);
+        }
+
+        $decoded = ASN1::asn1map($decoded[0], DigestInfo::MAP);
+        if (!isset($decoded) || $decoded === false) {
+            return false;
+        }
+
+        if (!isset($oids[$decoded['digestAlgorithm']['algorithm']])) {
+            return false;
+        }
+
+        $hash = $decoded['digestAlgorithm']['algorithm'];
+        $hash = substr($hash, 0, 3) == 'id-' ?
+            substr($hash, 3) :
+            $hash;
+        $hash = new Hash($hash);
+        $em = $hash->hash($m);
+        $em2 = $decoded['digest'];
+
+        return hash_equals($em, $em2);
+    }
+
+    /**
+     * EMSA-PSS-VERIFY
+     *
+     * See {@link http://tools.ietf.org/html/rfc3447#section-9.1.2 RFC3447#section-9.1.2}.
+     *
+     * @access private
+     * @param string $m
+     * @param string $em
+     * @param int $emBits
+     * @return string
+     */
+    private function emsa_pss_verify($m, $em, $emBits)
+    {
+        // if $m is larger than two million terrabytes and you're using sha1, PKCS#1 suggests a "Label too long" error
+        // be output.
+
+        $emLen = ($emBits + 7) >> 3; // ie. ceil($emBits / 8);
+        $sLen = $this->sLen !== null ? $this->sLen : $this->hLen;
+
+        $mHash = $this->hash->hash($m);
+        if ($emLen < $this->hLen + $sLen + 2) {
+            return false;
+        }
+
+        if ($em[strlen($em) - 1] != chr(0xBC)) {
+            return false;
+        }
+
+        $maskedDB = substr($em, 0, -$this->hLen - 1);
+        $h = substr($em, -$this->hLen - 1, $this->hLen);
+        $temp = chr(0xFF << ($emBits & 7));
+        if ((~$maskedDB[0] & $temp) != $temp) {
+            return false;
+        }
+        $dbMask = $this->mgf1($h, $emLen - $this->hLen - 1);
+        $db = $maskedDB ^ $dbMask;
+        $db[0] = ~chr(0xFF << ($emBits & 7)) & $db[0];
+        $temp = $emLen - $this->hLen - $sLen - 2;
+        if (substr($db, 0, $temp) != str_repeat(chr(0), $temp) || ord($db[$temp]) != 1) {
+            return false;
+        }
+        $salt = substr($db, $temp + 1); // should be $sLen long
+        $m2 = "\0\0\0\0\0\0\0\0" . $mHash . $salt;
+        $h2 = $this->hash->hash($m2);
+        return hash_equals($h, $h2);
+    }
+
+    /**
+     * RSASSA-PSS-VERIFY
+     *
+     * See {@link http://tools.ietf.org/html/rfc3447#section-8.1.2 RFC3447#section-8.1.2}.
+     *
+     * @access private
+     * @param string $m
+     * @param string $s
+     * @return bool|string
+     */
+    private function rsassa_pss_verify($m, $s)
+    {
+        // Length checking
+
+        if (strlen($s) != $this->k) {
+            return false;
+        }
+
+        // RSA verification
+
+        $modBits = strlen($this->modulus->toBits());
+
+        $s2 = $this->os2ip($s);
+        $m2 = $this->rsavp1($s2);
+        $em = $this->i2osp($m2, $this->k);
+        if ($em === false) {
+            return false;
+        }
+
+        // EMSA-PSS verification
+
+        return $this->emsa_pss_verify($m, $em, $modBits - 1);
+    }
+
+    /**
+     * Verifies a signature
+     *
+     * @see self::sign()
+     * @param string $message
+     * @param string $signature
+     * @return bool
+     */
+    public function verify($message, $signature)
+    {
+        switch ($this->signaturePadding) {
+            case self::SIGNATURE_RELAXED_PKCS1:
+                return $this->rsassa_pkcs1_v1_5_relaxed_verify($message, $signature);
+            case self::SIGNATURE_PKCS1:
+                return $this->rsassa_pkcs1_v1_5_verify($message, $signature);
+            //case self::SIGNATURE_PSS:
+            default:
+                return $this->rsassa_pss_verify($message, $signature);
+        }
+    }
+
+    /**
+     * RSAES-PKCS1-V1_5-ENCRYPT
+     *
+     * See {@link http://tools.ietf.org/html/rfc3447#section-7.2.1 RFC3447#section-7.2.1}.
+     *
+     * @access private
+     * @param string $m
+     * @param bool $pkcs15_compat optional
+     * @throws \LengthException if strlen($m) > $this->k - 11
+     * @return bool|string
+     */
+    private function rsaes_pkcs1_v1_5_encrypt($m, $pkcs15_compat = false)
+    {
+        $mLen = strlen($m);
+
+        // Length checking
+
+        if ($mLen > $this->k - 11) {
+            throw new \LengthException('Message too long');
+        }
+
+        // EME-PKCS1-v1_5 encoding
+
+        $psLen = $this->k - $mLen - 3;
+        $ps = '';
+        while (strlen($ps) != $psLen) {
+            $temp = Random::string($psLen - strlen($ps));
+            $temp = str_replace("\x00", '', $temp);
+            $ps.= $temp;
+        }
+        $type = 2;
+        $em = chr(0) . chr($type) . $ps . chr(0) . $m;
+
+        // RSA encryption
+        $m = $this->os2ip($em);
+        $c = $this->rsaep($m);
+        $c = $this->i2osp($c, $this->k);
+
+        // Output the ciphertext C
+
+        return $c;
+    }
+
+    /**
+     * RSAES-OAEP-ENCRYPT
+     *
+     * See {@link http://tools.ietf.org/html/rfc3447#section-7.1.1 RFC3447#section-7.1.1} and
+     * {http://en.wikipedia.org/wiki/Optimal_Asymmetric_Encryption_Padding OAES}.
+     *
+     * @access private
+     * @param string $m
+     * @throws \LengthException if strlen($m) > $this->k - 2 * $this->hLen - 2
+     * @return string
+     */
+    private function rsaes_oaep_encrypt($m)
+    {
+        $mLen = strlen($m);
+
+        // Length checking
+
+        // if $l is larger than two million terrabytes and you're using sha1, PKCS#1 suggests a "Label too long" error
+        // be output.
+
+        if ($mLen > $this->k - 2 * $this->hLen - 2) {
+            throw new \LengthException('Message too long');
+        }
+
+        // EME-OAEP encoding
+
+        $lHash = $this->hash->hash($this->label);
+        $ps = str_repeat(chr(0), $this->k - $mLen - 2 * $this->hLen - 2);
+        $db = $lHash . $ps . chr(1) . $m;
+        $seed = Random::string($this->hLen);
+        $dbMask = $this->mgf1($seed, $this->k - $this->hLen - 1);
+        $maskedDB = $db ^ $dbMask;
+        $seedMask = $this->mgf1($maskedDB, $this->hLen);
+        $maskedSeed = $seed ^ $seedMask;
+        $em = chr(0) . $maskedSeed . $maskedDB;
+
+        // RSA encryption
+
+        $m = $this->os2ip($em);
+        $c = $this->rsaep($m);
+        $c = $this->i2osp($c, $this->k);
+
+        // Output the ciphertext C
+
+        return $c;
+    }
+
+    /**
+     * RSAEP
+     *
+     * See {@link http://tools.ietf.org/html/rfc3447#section-5.1.1 RFC3447#section-5.1.1}.
+     *
+     * @access private
+     * @param \phpseclib3\Math\BigInteger $m
+     * @return bool|\phpseclib3\Math\BigInteger
+     */
+    private function rsaep($m)
+    {
+        if ($m->compare(self::$zero) < 0 || $m->compare($this->modulus) > 0) {
+            throw new \OutOfRangeException('Message representative out of range');
+        }
+        return $this->exponentiate($m);
+    }
+
+    /**
+     * Raw Encryption / Decryption
+     *
+     * Doesn't use padding and is not recommended.
+     *
+     * @access private
+     * @param string $m
+     * @return bool|string
+     * @throws \LengthException if strlen($m) > $this->k
+     */
+    private function raw_encrypt($m)
+    {
+        if (strlen($m) > $this->k) {
+            throw new \LengthException('Message too long');
+        }
+
+        $temp = $this->os2ip($m);
+        $temp = $this->rsaep($temp);
+        return  $this->i2osp($temp, $this->k);
+    }
+
+    /**
+     * Encryption
+     *
+     * Both self::PADDING_OAEP and self::PADDING_PKCS1 both place limits on how long $plaintext can be.
+     * If $plaintext exceeds those limits it will be broken up so that it does and the resultant ciphertext's will
+     * be concatenated together.
+     *
+     * @see self::decrypt()
+     * @access public
+     * @param string $plaintext
+     * @return bool|string
+     * @throws \LengthException if the RSA modulus is too short
+     */
+    public function encrypt($plaintext)
+    {
+        switch ($this->encryptionPadding) {
+            case self::ENCRYPTION_NONE:
+                return $this->raw_encrypt($plaintext);
+            case self::ENCRYPTION_PKCS1:
+                return $this->rsaes_pkcs1_v1_5_encrypt($plaintext);
+            //case self::ENCRYPTION_OAEP:
+            default:
+                return $this->rsaes_oaep_encrypt($plaintext);
+        }
+    }
+
+    /**
+     * Returns the public key
+     *
+     * The public key is only returned under two circumstances - if the private key had the public key embedded within it
+     * or if the public key was set via setPublicKey().  If the currently loaded key is supposed to be the public key this
+     * function won't return it since this library, for the most part, doesn't distinguish between public and private keys.
+     *
+     * @param string $type
+     * @param array $options optional
+     * @return mixed
+     */
+    public function toString($type, array $options = [])
+    {
+        $type = self::validatePlugin('Keys', $type, 'savePublicKey');
+
+        if ($type == PSS::class) {
+            if ($this->signaturePadding == self::SIGNATURE_PSS) {
+                $options+= [
+                    'hash' => $this->hash->getHash(),
+                    'MGFHash' => $this->mgfHash->getHash(),
+                    'saltLength' => $this->getSaltLength()
+                ];
+            } else {
+                throw new UnsupportedFormatException('The PSS format can only be used when the signature method has been explicitly set to PSS');
+            }
+        }
+
+        return $type::savePublicKey($this->modulus, $this->publicExponent, $options);
+    }
+
+    /**
+     * Converts a public key to a private key
+     *
+     * @return RSA
+     */
+    public function asPrivateKey()
+    {
+        $new = new PrivateKey;
+        $new->exponent = $this->exponent;
+        $new->modulus = $this->modulus;
+        $new->k = $this->k;
+        $new->format = $this->format;
+        return $new
+            ->withHash($this->hash->getHash())
+            ->withMGFHash($this->mgfHash->getHash())
+            ->withSaltLength($this->sLen)
+            ->withLabel($this->label)
+            ->withPadding($this->signaturePadding | $this->encryptionPadding);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/Random.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Random.php
new file mode 100644
index 000000000..b05f040eb
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Random.php
@@ -0,0 +1,223 @@
+<?php
+
+/**
+ * Random Number Generator
+ *
+ * PHP version 5
+ *
+ * Here's a short example of how to use this library:
+ * <code>
+ * <?php
+ *    include 'vendor/autoload.php';
+ *
+ *    echo bin2hex(\phpseclib3\Crypt\Random::string(8));
+ * ?>
+ * </code>
+ *
+ * @category  Crypt
+ * @package   Random
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2007 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt;
+
+/**
+ * Pure-PHP Random Number Generator
+ *
+ * @package Random
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Random
+{
+    /**
+     * Generate a random string.
+     *
+     * Although microoptimizations are generally discouraged as they impair readability this function is ripe with
+     * microoptimizations because this function has the potential of being called a huge number of times.
+     * eg. for RSA key generation.
+     *
+     * @param int $length
+     * @throws \RuntimeException if a symmetric cipher is needed but not loaded
+     * @return string
+     */
+    public static function string($length)
+    {
+        if (!$length) {
+            return '';
+        }
+
+        try {
+            return \random_bytes($length);
+        } catch (\Exception $e) {
+            // random_compat will throw an Exception, which in PHP 5 does not implement Throwable
+        } catch (\Throwable $e) {
+            // If a sufficient source of randomness is unavailable, random_bytes() will throw an
+            // object that implements the Throwable interface (Exception, TypeError, Error).
+            // We don't actually need to do anything here. The string() method should just continue
+            // as normal. Note, however, that if we don't have a sufficient source of randomness for
+            // random_bytes(), most of the other calls here will fail too, so we'll end up using
+            // the PHP implementation.
+        }
+        // at this point we have no choice but to use a pure-PHP CSPRNG
+
+        // cascade entropy across multiple PHP instances by fixing the session and collecting all
+        // environmental variables, including the previous session data and the current session
+        // data.
+        //
+        // mt_rand seeds itself by looking at the PID and the time, both of which are (relatively)
+        // easy to guess at. linux uses mouse clicks, keyboard timings, etc, as entropy sources, but
+        // PHP isn't low level to be able to use those as sources and on a web server there's not likely
+        // going to be a ton of keyboard or mouse action. web servers do have one thing that we can use
+        // however, a ton of people visiting the website. obviously you don't want to base your seeding
+        // solely on parameters a potential attacker sends but (1) not everything in $_SERVER is controlled
+        // by the user and (2) this isn't just looking at the data sent by the current user - it's based
+        // on the data sent by all users. one user requests the page and a hash of their info is saved.
+        // another user visits the page and the serialization of their data is utilized along with the
+        // server environment stuff and a hash of the previous http request data (which itself utilizes
+        // a hash of the session data before that). certainly an attacker should be assumed to have
+        // full control over his own http requests. he, however, is not going to have control over
+        // everyone's http requests.
+        static $crypto = false, $v;
+        if ($crypto === false) {
+            // save old session data
+            $old_session_id = session_id();
+            $old_use_cookies = ini_get('session.use_cookies');
+            $old_session_cache_limiter = session_cache_limiter();
+            $_OLD_SESSION = isset($_SESSION) ? $_SESSION : false;
+            if ($old_session_id != '') {
+                session_write_close();
+            }
+
+            session_id(1);
+            ini_set('session.use_cookies', 0);
+            session_cache_limiter('');
+            session_start();
+
+            $v = (isset($_SERVER) ? self::safe_serialize($_SERVER) : '') .
+                 (isset($_POST) ? self::safe_serialize($_POST) : '') .
+                 (isset($_GET) ? self::safe_serialize($_GET) : '') .
+                 (isset($_COOKIE) ? self::safe_serialize($_COOKIE) : '') .
+                 self::safe_serialize($GLOBALS) .
+                 self::safe_serialize($_SESSION) .
+                 self::safe_serialize($_OLD_SESSION);
+            $v = $seed = $_SESSION['seed'] = sha1($v, true);
+            if (!isset($_SESSION['count'])) {
+                $_SESSION['count'] = 0;
+            }
+            $_SESSION['count']++;
+
+            session_write_close();
+
+            // restore old session data
+            if ($old_session_id != '') {
+                session_id($old_session_id);
+                session_start();
+                ini_set('session.use_cookies', $old_use_cookies);
+                session_cache_limiter($old_session_cache_limiter);
+            } else {
+                if ($_OLD_SESSION !== false) {
+                    $_SESSION = $_OLD_SESSION;
+                    unset($_OLD_SESSION);
+                } else {
+                    unset($_SESSION);
+                }
+            }
+
+            // in SSH2 a shared secret and an exchange hash are generated through the key exchange process.
+            // the IV client to server is the hash of that "nonce" with the letter A and for the encryption key it's the letter C.
+            // if the hash doesn't produce enough a key or an IV that's long enough concat successive hashes of the
+            // original hash and the current hash. we'll be emulating that. for more info see the following URL:
+            //
+            // http://tools.ietf.org/html/rfc4253#section-7.2
+            //
+            // see the is_string($crypto) part for an example of how to expand the keys
+            $key = sha1($seed . 'A', true);
+            $iv = sha1($seed . 'C', true);
+
+            // ciphers are used as per the nist.gov link below. also, see this link:
+            //
+            // http://en.wikipedia.org/wiki/Cryptographically_secure_pseudorandom_number_generator#Designs_based_on_cryptographic_primitives
+            switch (true) {
+                case class_exists('\phpseclib3\Crypt\AES'):
+                    $crypto = new AES('ctr');
+                    break;
+                case class_exists('\phpseclib3\Crypt\Twofish'):
+                    $crypto = new Twofish('ctr');
+                    break;
+                case class_exists('\phpseclib3\Crypt\Blowfish'):
+                    $crypto = new Blowfish('ctr');
+                    break;
+                case class_exists('\phpseclib3\Crypt\TripleDES'):
+                    $crypto = new TripleDES('ctr');
+                    break;
+                case class_exists('\phpseclib3\Crypt\DES'):
+                    $crypto = new DES('ctr');
+                    break;
+                case class_exists('\phpseclib3\Crypt\RC4'):
+                    $crypto = new RC4();
+                    break;
+                default:
+                    throw new \RuntimeException(__CLASS__ . ' requires at least one symmetric cipher be loaded');
+            }
+
+            $crypto->setKey(substr($key, 0, $crypto->getKeyLength() >> 3));
+            $crypto->setIV(substr($iv, 0, $crypto->getBlockLength() >> 3));
+            $crypto->enableContinuousBuffer();
+        }
+
+        //return $crypto->encrypt(str_repeat("\0", $length));
+
+        // the following is based off of ANSI X9.31:
+        //
+        // http://csrc.nist.gov/groups/STM/cavp/documents/rng/931rngext.pdf
+        //
+        // OpenSSL uses that same standard for it's random numbers:
+        //
+        // http://www.opensource.apple.com/source/OpenSSL/OpenSSL-38/openssl/fips-1.0/rand/fips_rand.c
+        // (do a search for "ANS X9.31 A.2.4")
+        $result = '';
+        while (strlen($result) < $length) {
+            $i = $crypto->encrypt(microtime()); // strlen(microtime()) == 21
+            $r = $crypto->encrypt($i ^ $v); // strlen($v) == 20
+            $v = $crypto->encrypt($r ^ $i); // strlen($r) == 20
+            $result.= $r;
+        }
+
+        return substr($result, 0, $length);
+    }
+
+    /**
+     * Safely serialize variables
+     *
+     * If a class has a private __sleep() it'll emit a warning
+     * @return mixed
+     * @param mixed $arr
+     */
+    private static function safe_serialize(&$arr)
+    {
+        if (is_object($arr)) {
+            return '';
+        }
+        if (!is_array($arr)) {
+            return serialize($arr);
+        }
+        // prevent circular array recursion
+        if (isset($arr['__phpseclib_marker'])) {
+            return '';
+        }
+        $safearr = [];
+        $arr['__phpseclib_marker'] = true;
+        foreach (array_keys($arr) as $key) {
+            // do not recurse on the '__phpseclib_marker' key itself, for smaller memory usage
+            if ($key !== '__phpseclib_marker') {
+                $safearr[$key] = self::safe_serialize($arr[$key]);
+            }
+        }
+        unset($arr['__phpseclib_marker']);
+        return serialize($safearr);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/Rijndael.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Rijndael.php
new file mode 100644
index 000000000..fb1edcf6e
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Rijndael.php
@@ -0,0 +1,1022 @@
+<?php
+
+/**
+ * Pure-PHP implementation of Rijndael.
+ *
+ * Uses mcrypt, if available/possible, and an internal implementation, otherwise.
+ *
+ * PHP version 5
+ *
+ * If {@link self::setBlockLength() setBlockLength()} isn't called, it'll be assumed to be 128 bits.  If
+ * {@link self::setKeyLength() setKeyLength()} isn't called, it'll be calculated from
+ * {@link self::setKey() setKey()}.  ie. if the key is 128-bits, the key length will be 128-bits.  If it's
+ * 136-bits it'll be null-padded to 192-bits and 192 bits will be the key length until
+ * {@link self::setKey() setKey()} is called, again, at which point, it'll be recalculated.
+ *
+ * Not all Rijndael implementations may support 160-bits or 224-bits as the block length / key length.  mcrypt, for example,
+ * does not.  AES, itself, only supports block lengths of 128 and key lengths of 128, 192, and 256.
+ * {@link http://csrc.nist.gov/archive/aes/rijndael/Rijndael-ammended.pdf#page=10 Rijndael-ammended.pdf#page=10} defines the
+ * algorithm for block lengths of 192 and 256 but not for block lengths / key lengths of 160 and 224.  Indeed, 160 and 224
+ * are first defined as valid key / block lengths in
+ * {@link http://csrc.nist.gov/archive/aes/rijndael/Rijndael-ammended.pdf#page=44 Rijndael-ammended.pdf#page=44}:
+ * Extensions: Other block and Cipher Key lengths.
+ * Note: Use of 160/224-bit Keys must be explicitly set by setKeyLength(160) respectively setKeyLength(224).
+ *
+ * {@internal The variable names are the same as those in
+ * {@link http://www.csrc.nist.gov/publications/fips/fips197/fips-197.pdf#page=10 fips-197.pdf#page=10}.}}
+ *
+ * Here's a short example of how to use this library:
+ * <code>
+ * <?php
+ *    include 'vendor/autoload.php';
+ *
+ *    $rijndael = new \phpseclib3\Crypt\Rijndael();
+ *
+ *    $rijndael->setKey('abcdefghijklmnop');
+ *
+ *    $size = 10 * 1024;
+ *    $plaintext = '';
+ *    for ($i = 0; $i < $size; $i++) {
+ *        $plaintext.= 'a';
+ *    }
+ *
+ *    echo $rijndael->decrypt($rijndael->encrypt($plaintext));
+ * ?>
+ * </code>
+ *
+ * @category  Crypt
+ * @package   Rijndael
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2008 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt;
+
+use phpseclib3\Crypt\Common\BlockCipher;
+
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Exception\BadModeException;
+use phpseclib3\Exception\InsufficientSetupException;
+use phpseclib3\Exception\BadDecryptionException;
+
+/**
+ * Pure-PHP implementation of Rijndael.
+ *
+ * @package Rijndael
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class Rijndael extends BlockCipher
+{
+    /**
+     * The mcrypt specific name of the cipher
+     *
+     * Mcrypt is useable for 128/192/256-bit $block_size/$key_length. For 160/224 not.
+     * \phpseclib3\Crypt\Rijndael determines automatically whether mcrypt is useable
+     * or not for the current $block_size/$key_length.
+     * In case of, $cipher_name_mcrypt will be set dynamically at run time accordingly.
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::cipher_name_mcrypt
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::engine
+     * @see self::isValidEngine()
+     * @var string
+     * @access private
+     */
+    protected $cipher_name_mcrypt = 'rijndael-128';
+
+    /**
+     * The Key Schedule
+     *
+     * @see self::setup()
+     * @var array
+     * @access private
+     */
+    private $w;
+
+    /**
+     * The Inverse Key Schedule
+     *
+     * @see self::setup()
+     * @var array
+     * @access private
+     */
+    private $dw;
+
+    /**
+     * The Block Length divided by 32
+     *
+     * {@internal The max value is 256 / 32 = 8, the min value is 128 / 32 = 4.  Exists in conjunction with $block_size
+     *    because the encryption / decryption / key schedule creation requires this number and not $block_size.  We could
+     *    derive this from $block_size or vice versa, but that'd mean we'd have to do multiple shift operations, so in lieu
+     *    of that, we'll just precompute it once.}
+     *
+     * @see self::setBlockLength()
+     * @var int
+     * @access private
+     */
+    private $Nb = 4;
+
+    /**
+     * The Key Length (in bytes)
+     *
+     * {@internal The max value is 256 / 8 = 32, the min value is 128 / 8 = 16.  Exists in conjunction with $Nk
+     *    because the encryption / decryption / key schedule creation requires this number and not $key_length.  We could
+     *    derive this from $key_length or vice versa, but that'd mean we'd have to do multiple shift operations, so in lieu
+     *    of that, we'll just precompute it once.}
+     *
+     * @see self::setKeyLength()
+     * @var int
+     * @access private
+     */
+    protected $key_length = 16;
+
+    /**
+     * The Key Length divided by 32
+     *
+     * @see self::setKeyLength()
+     * @var int
+     * @access private
+     * @internal The max value is 256 / 32 = 8, the min value is 128 / 32 = 4
+     */
+    private $Nk = 4;
+
+    /**
+     * The Number of Rounds
+     *
+     * {@internal The max value is 14, the min value is 10.}
+     *
+     * @var int
+     * @access private
+     */
+    private $Nr;
+
+    /**
+     * Shift offsets
+     *
+     * @var array
+     * @access private
+     */
+    private $c;
+
+    /**
+     * Holds the last used key- and block_size information
+     *
+     * @var array
+     * @access private
+     */
+    private $kl;
+
+    /**
+     * Default Constructor.
+     *
+     * @param string $mode
+     * @access public
+     * @throws \InvalidArgumentException if an invalid / unsupported mode is provided
+     */
+    public function __construct($mode)
+    {
+        parent::__construct($mode);
+
+        if ($this->mode == self::MODE_STREAM) {
+            throw new BadModeException('Block ciphers cannot be ran in stream mode');
+        }
+    }
+
+    /**
+     * Sets the key length.
+     *
+     * Valid key lengths are 128, 160, 192, 224, and 256.
+     *
+     * Note: phpseclib extends Rijndael (and AES) for using 160- and 224-bit keys but they are officially not defined
+     *       and the most (if not all) implementations are not able using 160/224-bit keys but round/pad them up to
+     *       192/256 bits as, for example, mcrypt will do.
+     *
+     *       That said, if you want be compatible with other Rijndael and AES implementations,
+     *       you should not setKeyLength(160) or setKeyLength(224).
+     *
+     * Additional: In case of 160- and 224-bit keys, phpseclib will/can, for that reason, not use
+     *             the mcrypt php extension, even if available.
+     *             This results then in slower encryption.
+     *
+     * @access public
+     * @throws \LengthException if the key length is invalid
+     * @param int $length
+     */
+    public function setKeyLength($length)
+    {
+        switch ($length) {
+            case 128:
+            case 160:
+            case 192:
+            case 224:
+            case 256:
+                $this->key_length = $length >> 3;
+                break;
+            default:
+                throw new \LengthException('Key size of ' . $length . ' bits is not supported by this algorithm. Only keys of sizes 128, 160, 192, 224 or 256 bits are supported');
+        }
+
+        parent::setKeyLength($length);
+    }
+
+    /**
+     * Sets the key.
+     *
+     * Rijndael supports five different key lengths
+     *
+     * @see setKeyLength()
+     * @access public
+     * @param string $key
+     * @throws \LengthException if the key length isn't supported
+     */
+    public function setKey($key)
+    {
+        switch (strlen($key)) {
+            case 16:
+            case 20:
+            case 24:
+            case 28:
+            case 32:
+                break;
+            default:
+                throw new \LengthException('Key of size ' . strlen($key) . ' not supported by this algorithm. Only keys of sizes 16, 20, 24, 28 or 32 are supported');
+        }
+
+        parent::setKey($key);
+    }
+
+    /**
+     * Sets the block length
+     *
+     * Valid block lengths are 128, 160, 192, 224, and 256.
+     *
+     * @access public
+     * @param int $length
+     */
+    public function setBlockLength($length)
+    {
+        switch ($length) {
+            case 128:
+            case 160:
+            case 192:
+            case 224:
+            case 256:
+                break;
+            default:
+                throw new \LengthException('Key size of ' . $length . ' bits is not supported by this algorithm. Only keys of sizes 128, 160, 192, 224 or 256 bits are supported');
+        }
+
+        $this->Nb = $length >> 5;
+        $this->block_size = $length >> 3;
+        $this->changed = $this->nonIVChanged = true;
+        $this->setEngine();
+    }
+
+    /**
+     * Test for engine validity
+     *
+     * This is mainly just a wrapper to set things up for \phpseclib3\Crypt\Common\SymmetricKey::isValidEngine()
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::__construct()
+     * @param int $engine
+     * @access protected
+     * @return bool
+     */
+    protected function isValidEngineHelper($engine)
+    {
+        switch ($engine) {
+            case self::ENGINE_LIBSODIUM:
+                return function_exists('sodium_crypto_aead_aes256gcm_is_available') &&
+                       sodium_crypto_aead_aes256gcm_is_available() &&
+                       $this->mode == self::MODE_GCM &&
+                       $this->key_length == 32 &&
+                       $this->nonce && strlen($this->nonce) == 12 &&
+                       $this->block_size == 16;
+            case self::ENGINE_OPENSSL_GCM:
+                if (!extension_loaded('openssl')) {
+                    return false;
+                }
+                $methods = openssl_get_cipher_methods();
+                return $this->mode == self::MODE_GCM &&
+                       version_compare(PHP_VERSION, '7.1.0', '>=') &&
+                       in_array('aes-' . $this->getKeyLength() . '-gcm', $methods) &&
+                       $this->block_size == 16;
+            case self::ENGINE_OPENSSL:
+                if ($this->block_size != 16) {
+                    return false;
+                }
+                self::$cipher_name_openssl_ecb = 'aes-' . ($this->key_length << 3) . '-ecb';
+                $this->cipher_name_openssl = 'aes-' . ($this->key_length << 3) . '-' . $this->openssl_translate_mode();
+                break;
+            case self::ENGINE_MCRYPT:
+                $this->cipher_name_mcrypt = 'rijndael-' . ($this->block_size << 3);
+                if ($this->key_length % 8) { // is it a 160/224-bit key?
+                    // mcrypt is not usable for them, only for 128/192/256-bit keys
+                    return false;
+                }
+        }
+
+        return parent::isValidEngineHelper($engine);
+    }
+
+    /**
+     * Encrypts a block
+     *
+     * @access private
+     * @param string $in
+     * @return string
+     */
+    protected function encryptBlock($in)
+    {
+        static $tables;
+        if (empty($tables)) {
+            $tables = &$this->getTables();
+        }
+        $t0   = $tables[0];
+        $t1   = $tables[1];
+        $t2   = $tables[2];
+        $t3   = $tables[3];
+        $sbox = $tables[4];
+
+        $state = [];
+        $words = unpack('N*', $in);
+
+        $c = $this->c;
+        $w = $this->w;
+        $Nb = $this->Nb;
+        $Nr = $this->Nr;
+
+        // addRoundKey
+        $wc = $Nb - 1;
+        foreach ($words as $word) {
+            $state[] = $word ^ $w[++$wc];
+        }
+
+        // fips-197.pdf#page=19, "Figure 5. Pseudo Code for the Cipher", states that this loop has four components -
+        // subBytes, shiftRows, mixColumns, and addRoundKey. fips-197.pdf#page=30, "Implementation Suggestions Regarding
+        // Various Platforms" suggests that performs enhanced implementations are described in Rijndael-ammended.pdf.
+        // Rijndael-ammended.pdf#page=20, "Implementation aspects / 32-bit processor", discusses such an optimization.
+        // Unfortunately, the description given there is not quite correct.  Per aes.spec.v316.pdf#page=19 [1],
+        // equation (7.4.7) is supposed to use addition instead of subtraction, so we'll do that here, as well.
+
+        // [1] http://fp.gladman.plus.com/cryptography_technology/rijndael/aes.spec.v316.pdf
+        $temp = [];
+        for ($round = 1; $round < $Nr; ++$round) {
+            $i = 0; // $c[0] == 0
+            $j = $c[1];
+            $k = $c[2];
+            $l = $c[3];
+
+            while ($i < $Nb) {
+                $temp[$i] = $t0[$state[$i] >> 24 & 0x000000FF] ^
+                            $t1[$state[$j] >> 16 & 0x000000FF] ^
+                            $t2[$state[$k] >>  8 & 0x000000FF] ^
+                            $t3[$state[$l]       & 0x000000FF] ^
+                            $w[++$wc];
+                ++$i;
+                $j = ($j + 1) % $Nb;
+                $k = ($k + 1) % $Nb;
+                $l = ($l + 1) % $Nb;
+            }
+            $state = $temp;
+        }
+
+        // subWord
+        for ($i = 0; $i < $Nb; ++$i) {
+            $state[$i] =   $sbox[$state[$i]       & 0x000000FF]        |
+                          ($sbox[$state[$i] >>  8 & 0x000000FF] <<  8) |
+                          ($sbox[$state[$i] >> 16 & 0x000000FF] << 16) |
+                          ($sbox[$state[$i] >> 24 & 0x000000FF] << 24);
+        }
+
+        // shiftRows + addRoundKey
+        $i = 0; // $c[0] == 0
+        $j = $c[1];
+        $k = $c[2];
+        $l = $c[3];
+        while ($i < $Nb) {
+            $temp[$i] = ($state[$i] & 0xFF000000) ^
+                        ($state[$j] & 0x00FF0000) ^
+                        ($state[$k] & 0x0000FF00) ^
+                        ($state[$l] & 0x000000FF) ^
+                         $w[$i];
+            ++$i;
+            $j = ($j + 1) % $Nb;
+            $k = ($k + 1) % $Nb;
+            $l = ($l + 1) % $Nb;
+        }
+
+        return pack('N*', ...$temp);
+    }
+
+    /**
+     * Decrypts a block
+     *
+     * @access private
+     * @param string $in
+     * @return string
+     */
+    protected function decryptBlock($in)
+    {
+        static $invtables;
+        if (empty($invtables)) {
+            $invtables = &$this->getInvTables();
+        }
+        $dt0   = $invtables[0];
+        $dt1   = $invtables[1];
+        $dt2   = $invtables[2];
+        $dt3   = $invtables[3];
+        $isbox = $invtables[4];
+
+        $state = [];
+        $words = unpack('N*', $in);
+
+        $c  = $this->c;
+        $dw = $this->dw;
+        $Nb = $this->Nb;
+        $Nr = $this->Nr;
+
+        // addRoundKey
+        $wc = $Nb - 1;
+        foreach ($words as $word) {
+            $state[] = $word ^ $dw[++$wc];
+        }
+
+        $temp = [];
+        for ($round = $Nr - 1; $round > 0; --$round) {
+            $i = 0; // $c[0] == 0
+            $j = $Nb - $c[1];
+            $k = $Nb - $c[2];
+            $l = $Nb - $c[3];
+
+            while ($i < $Nb) {
+                $temp[$i] = $dt0[$state[$i] >> 24 & 0x000000FF] ^
+                            $dt1[$state[$j] >> 16 & 0x000000FF] ^
+                            $dt2[$state[$k] >>  8 & 0x000000FF] ^
+                            $dt3[$state[$l]       & 0x000000FF] ^
+                            $dw[++$wc];
+                ++$i;
+                $j = ($j + 1) % $Nb;
+                $k = ($k + 1) % $Nb;
+                $l = ($l + 1) % $Nb;
+            }
+            $state = $temp;
+        }
+
+        // invShiftRows + invSubWord + addRoundKey
+        $i = 0; // $c[0] == 0
+        $j = $Nb - $c[1];
+        $k = $Nb - $c[2];
+        $l = $Nb - $c[3];
+
+        while ($i < $Nb) {
+            $word = ($state[$i] & 0xFF000000) |
+                    ($state[$j] & 0x00FF0000) |
+                    ($state[$k] & 0x0000FF00) |
+                    ($state[$l] & 0x000000FF);
+
+            $temp[$i] = $dw[$i] ^ ($isbox[$word       & 0x000000FF]        |
+                                  ($isbox[$word >>  8 & 0x000000FF] <<  8) |
+                                  ($isbox[$word >> 16 & 0x000000FF] << 16) |
+                                  ($isbox[$word >> 24 & 0x000000FF] << 24));
+            ++$i;
+            $j = ($j + 1) % $Nb;
+            $k = ($k + 1) % $Nb;
+            $l = ($l + 1) % $Nb;
+        }
+
+        return pack('N*', ...$temp);
+    }
+
+    /**
+     * Setup the key (expansion)
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::setupKey()
+     * @access private
+     */
+    protected function setupKey()
+    {
+        // Each number in $rcon is equal to the previous number multiplied by two in Rijndael's finite field.
+        // See http://en.wikipedia.org/wiki/Finite_field_arithmetic#Multiplicative_inverse
+        static $rcon = [0,
+            0x01000000, 0x02000000, 0x04000000, 0x08000000, 0x10000000,
+            0x20000000, 0x40000000, 0x80000000, 0x1B000000, 0x36000000,
+            0x6C000000, 0xD8000000, 0xAB000000, 0x4D000000, 0x9A000000,
+            0x2F000000, 0x5E000000, 0xBC000000, 0x63000000, 0xC6000000,
+            0x97000000, 0x35000000, 0x6A000000, 0xD4000000, 0xB3000000,
+            0x7D000000, 0xFA000000, 0xEF000000, 0xC5000000, 0x91000000
+        ];
+
+        if (isset($this->kl['key']) && $this->key === $this->kl['key'] && $this->key_length === $this->kl['key_length'] && $this->block_size === $this->kl['block_size']) {
+            // already expanded
+            return;
+        }
+        $this->kl = ['key' => $this->key, 'key_length' => $this->key_length, 'block_size' => $this->block_size];
+
+        $this->Nk = $this->key_length >> 2;
+        // see Rijndael-ammended.pdf#page=44
+        $this->Nr = max($this->Nk, $this->Nb) + 6;
+
+        // shift offsets for Nb = 5, 7 are defined in Rijndael-ammended.pdf#page=44,
+        //     "Table 8: Shift offsets in Shiftrow for the alternative block lengths"
+        // shift offsets for Nb = 4, 6, 8 are defined in Rijndael-ammended.pdf#page=14,
+        //     "Table 2: Shift offsets for different block lengths"
+        switch ($this->Nb) {
+            case 4:
+            case 5:
+            case 6:
+                $this->c = [0, 1, 2, 3];
+                break;
+            case 7:
+                $this->c = [0, 1, 2, 4];
+                break;
+            case 8:
+                $this->c = [0, 1, 3, 4];
+        }
+
+        $w = array_values(unpack('N*words', $this->key));
+
+        $length = $this->Nb * ($this->Nr + 1);
+        for ($i = $this->Nk; $i < $length; $i++) {
+            $temp = $w[$i - 1];
+            if ($i % $this->Nk == 0) {
+                // according to <http://php.net/language.types.integer>, "the size of an integer is platform-dependent".
+                // on a 32-bit machine, it's 32-bits, and on a 64-bit machine, it's 64-bits. on a 32-bit machine,
+                // 0xFFFFFFFF << 8 == 0xFFFFFF00, but on a 64-bit machine, it equals 0xFFFFFFFF00. as such, doing 'and'
+                // with 0xFFFFFFFF (or 0xFFFFFF00) on a 32-bit machine is unnecessary, but on a 64-bit machine, it is.
+                $temp = (($temp << 8) & 0xFFFFFF00) | (($temp >> 24) & 0x000000FF); // rotWord
+                $temp = $this->subWord($temp) ^ $rcon[$i / $this->Nk];
+            } elseif ($this->Nk > 6 && $i % $this->Nk == 4) {
+                $temp = $this->subWord($temp);
+            }
+            $w[$i] = $w[$i - $this->Nk] ^ $temp;
+        }
+
+        // convert the key schedule from a vector of $Nb * ($Nr + 1) length to a matrix with $Nr + 1 rows and $Nb columns
+        // and generate the inverse key schedule.  more specifically,
+        // according to <http://csrc.nist.gov/archive/aes/rijndael/Rijndael-ammended.pdf#page=23> (section 5.3.3),
+        // "The key expansion for the Inverse Cipher is defined as follows:
+        //        1. Apply the Key Expansion.
+        //        2. Apply InvMixColumn to all Round Keys except the first and the last one."
+        // also, see fips-197.pdf#page=27, "5.3.5 Equivalent Inverse Cipher"
+        list($dt0, $dt1, $dt2, $dt3) = $this->getInvTables();
+        $temp = $this->w = $this->dw = [];
+        for ($i = $row = $col = 0; $i < $length; $i++, $col++) {
+            if ($col == $this->Nb) {
+                if ($row == 0) {
+                    $this->dw[0] = $this->w[0];
+                } else {
+                    // subWord + invMixColumn + invSubWord = invMixColumn
+                    $j = 0;
+                    while ($j < $this->Nb) {
+                        $dw = $this->subWord($this->w[$row][$j]);
+                        $temp[$j] = $dt0[$dw >> 24 & 0x000000FF] ^
+                                    $dt1[$dw >> 16 & 0x000000FF] ^
+                                    $dt2[$dw >>  8 & 0x000000FF] ^
+                                    $dt3[$dw       & 0x000000FF];
+                        $j++;
+                    }
+                    $this->dw[$row] = $temp;
+                }
+
+                $col = 0;
+                $row++;
+            }
+            $this->w[$row][$col] = $w[$i];
+        }
+
+        $this->dw[$row] = $this->w[$row];
+
+        // Converting to 1-dim key arrays (both ascending)
+        $this->dw = array_reverse($this->dw);
+        $w  = array_pop($this->w);
+        $dw = array_pop($this->dw);
+        foreach ($this->w as $r => $wr) {
+            foreach ($wr as $c => $wc) {
+                $w[]  = $wc;
+                $dw[] = $this->dw[$r][$c];
+            }
+        }
+        $this->w  = $w;
+        $this->dw = $dw;
+    }
+
+    /**
+     * Performs S-Box substitutions
+     *
+     * @return array
+     * @access private
+     * @param int $word
+     */
+    private function subWord($word)
+    {
+        static $sbox;
+        if (empty($sbox)) {
+            list(, , , , $sbox) = self::getTables();
+        }
+
+        return  $sbox[$word       & 0x000000FF]        |
+               ($sbox[$word >>  8 & 0x000000FF] <<  8) |
+               ($sbox[$word >> 16 & 0x000000FF] << 16) |
+               ($sbox[$word >> 24 & 0x000000FF] << 24);
+    }
+
+    /**
+     * Provides the mixColumns and sboxes tables
+     *
+     * @see self::encryptBlock()
+     * @see self::setupInlineCrypt()
+     * @see self::subWord()
+     * @access private
+     * @return array &$tables
+     */
+    protected function &getTables()
+    {
+        static $tables;
+        if (empty($tables)) {
+            // according to <http://csrc.nist.gov/archive/aes/rijndael/Rijndael-ammended.pdf#page=19> (section 5.2.1),
+            // precomputed tables can be used in the mixColumns phase. in that example, they're assigned t0...t3, so
+            // those are the names we'll use.
+            $t3 = array_map('intval', [
+                // with array_map('intval', ...) we ensure we have only int's and not
+                // some slower floats converted by php automatically on high values
+                0x6363A5C6, 0x7C7C84F8, 0x777799EE, 0x7B7B8DF6, 0xF2F20DFF, 0x6B6BBDD6, 0x6F6FB1DE, 0xC5C55491,
+                0x30305060, 0x01010302, 0x6767A9CE, 0x2B2B7D56, 0xFEFE19E7, 0xD7D762B5, 0xABABE64D, 0x76769AEC,
+                0xCACA458F, 0x82829D1F, 0xC9C94089, 0x7D7D87FA, 0xFAFA15EF, 0x5959EBB2, 0x4747C98E, 0xF0F00BFB,
+                0xADADEC41, 0xD4D467B3, 0xA2A2FD5F, 0xAFAFEA45, 0x9C9CBF23, 0xA4A4F753, 0x727296E4, 0xC0C05B9B,
+                0xB7B7C275, 0xFDFD1CE1, 0x9393AE3D, 0x26266A4C, 0x36365A6C, 0x3F3F417E, 0xF7F702F5, 0xCCCC4F83,
+                0x34345C68, 0xA5A5F451, 0xE5E534D1, 0xF1F108F9, 0x717193E2, 0xD8D873AB, 0x31315362, 0x15153F2A,
+                0x04040C08, 0xC7C75295, 0x23236546, 0xC3C35E9D, 0x18182830, 0x9696A137, 0x05050F0A, 0x9A9AB52F,
+                0x0707090E, 0x12123624, 0x80809B1B, 0xE2E23DDF, 0xEBEB26CD, 0x2727694E, 0xB2B2CD7F, 0x75759FEA,
+                0x09091B12, 0x83839E1D, 0x2C2C7458, 0x1A1A2E34, 0x1B1B2D36, 0x6E6EB2DC, 0x5A5AEEB4, 0xA0A0FB5B,
+                0x5252F6A4, 0x3B3B4D76, 0xD6D661B7, 0xB3B3CE7D, 0x29297B52, 0xE3E33EDD, 0x2F2F715E, 0x84849713,
+                0x5353F5A6, 0xD1D168B9, 0x00000000, 0xEDED2CC1, 0x20206040, 0xFCFC1FE3, 0xB1B1C879, 0x5B5BEDB6,
+                0x6A6ABED4, 0xCBCB468D, 0xBEBED967, 0x39394B72, 0x4A4ADE94, 0x4C4CD498, 0x5858E8B0, 0xCFCF4A85,
+                0xD0D06BBB, 0xEFEF2AC5, 0xAAAAE54F, 0xFBFB16ED, 0x4343C586, 0x4D4DD79A, 0x33335566, 0x85859411,
+                0x4545CF8A, 0xF9F910E9, 0x02020604, 0x7F7F81FE, 0x5050F0A0, 0x3C3C4478, 0x9F9FBA25, 0xA8A8E34B,
+                0x5151F3A2, 0xA3A3FE5D, 0x4040C080, 0x8F8F8A05, 0x9292AD3F, 0x9D9DBC21, 0x38384870, 0xF5F504F1,
+                0xBCBCDF63, 0xB6B6C177, 0xDADA75AF, 0x21216342, 0x10103020, 0xFFFF1AE5, 0xF3F30EFD, 0xD2D26DBF,
+                0xCDCD4C81, 0x0C0C1418, 0x13133526, 0xECEC2FC3, 0x5F5FE1BE, 0x9797A235, 0x4444CC88, 0x1717392E,
+                0xC4C45793, 0xA7A7F255, 0x7E7E82FC, 0x3D3D477A, 0x6464ACC8, 0x5D5DE7BA, 0x19192B32, 0x737395E6,
+                0x6060A0C0, 0x81819819, 0x4F4FD19E, 0xDCDC7FA3, 0x22226644, 0x2A2A7E54, 0x9090AB3B, 0x8888830B,
+                0x4646CA8C, 0xEEEE29C7, 0xB8B8D36B, 0x14143C28, 0xDEDE79A7, 0x5E5EE2BC, 0x0B0B1D16, 0xDBDB76AD,
+                0xE0E03BDB, 0x32325664, 0x3A3A4E74, 0x0A0A1E14, 0x4949DB92, 0x06060A0C, 0x24246C48, 0x5C5CE4B8,
+                0xC2C25D9F, 0xD3D36EBD, 0xACACEF43, 0x6262A6C4, 0x9191A839, 0x9595A431, 0xE4E437D3, 0x79798BF2,
+                0xE7E732D5, 0xC8C8438B, 0x3737596E, 0x6D6DB7DA, 0x8D8D8C01, 0xD5D564B1, 0x4E4ED29C, 0xA9A9E049,
+                0x6C6CB4D8, 0x5656FAAC, 0xF4F407F3, 0xEAEA25CF, 0x6565AFCA, 0x7A7A8EF4, 0xAEAEE947, 0x08081810,
+                0xBABAD56F, 0x787888F0, 0x25256F4A, 0x2E2E725C, 0x1C1C2438, 0xA6A6F157, 0xB4B4C773, 0xC6C65197,
+                0xE8E823CB, 0xDDDD7CA1, 0x74749CE8, 0x1F1F213E, 0x4B4BDD96, 0xBDBDDC61, 0x8B8B860D, 0x8A8A850F,
+                0x707090E0, 0x3E3E427C, 0xB5B5C471, 0x6666AACC, 0x4848D890, 0x03030506, 0xF6F601F7, 0x0E0E121C,
+                0x6161A3C2, 0x35355F6A, 0x5757F9AE, 0xB9B9D069, 0x86869117, 0xC1C15899, 0x1D1D273A, 0x9E9EB927,
+                0xE1E138D9, 0xF8F813EB, 0x9898B32B, 0x11113322, 0x6969BBD2, 0xD9D970A9, 0x8E8E8907, 0x9494A733,
+                0x9B9BB62D, 0x1E1E223C, 0x87879215, 0xE9E920C9, 0xCECE4987, 0x5555FFAA, 0x28287850, 0xDFDF7AA5,
+                0x8C8C8F03, 0xA1A1F859, 0x89898009, 0x0D0D171A, 0xBFBFDA65, 0xE6E631D7, 0x4242C684, 0x6868B8D0,
+                0x4141C382, 0x9999B029, 0x2D2D775A, 0x0F0F111E, 0xB0B0CB7B, 0x5454FCA8, 0xBBBBD66D, 0x16163A2C
+            ]);
+
+            foreach ($t3 as $t3i) {
+                $t0[] = (($t3i << 24) & 0xFF000000) | (($t3i >>  8) & 0x00FFFFFF);
+                $t1[] = (($t3i << 16) & 0xFFFF0000) | (($t3i >> 16) & 0x0000FFFF);
+                $t2[] = (($t3i <<  8) & 0xFFFFFF00) | (($t3i >> 24) & 0x000000FF);
+            }
+
+            $tables = [
+                // The Precomputed mixColumns tables t0 - t3
+                $t0,
+                $t1,
+                $t2,
+                $t3,
+                // The SubByte S-Box
+                [
+                    0x63, 0x7C, 0x77, 0x7B, 0xF2, 0x6B, 0x6F, 0xC5, 0x30, 0x01, 0x67, 0x2B, 0xFE, 0xD7, 0xAB, 0x76,
+                    0xCA, 0x82, 0xC9, 0x7D, 0xFA, 0x59, 0x47, 0xF0, 0xAD, 0xD4, 0xA2, 0xAF, 0x9C, 0xA4, 0x72, 0xC0,
+                    0xB7, 0xFD, 0x93, 0x26, 0x36, 0x3F, 0xF7, 0xCC, 0x34, 0xA5, 0xE5, 0xF1, 0x71, 0xD8, 0x31, 0x15,
+                    0x04, 0xC7, 0x23, 0xC3, 0x18, 0x96, 0x05, 0x9A, 0x07, 0x12, 0x80, 0xE2, 0xEB, 0x27, 0xB2, 0x75,
+                    0x09, 0x83, 0x2C, 0x1A, 0x1B, 0x6E, 0x5A, 0xA0, 0x52, 0x3B, 0xD6, 0xB3, 0x29, 0xE3, 0x2F, 0x84,
+                    0x53, 0xD1, 0x00, 0xED, 0x20, 0xFC, 0xB1, 0x5B, 0x6A, 0xCB, 0xBE, 0x39, 0x4A, 0x4C, 0x58, 0xCF,
+                    0xD0, 0xEF, 0xAA, 0xFB, 0x43, 0x4D, 0x33, 0x85, 0x45, 0xF9, 0x02, 0x7F, 0x50, 0x3C, 0x9F, 0xA8,
+                    0x51, 0xA3, 0x40, 0x8F, 0x92, 0x9D, 0x38, 0xF5, 0xBC, 0xB6, 0xDA, 0x21, 0x10, 0xFF, 0xF3, 0xD2,
+                    0xCD, 0x0C, 0x13, 0xEC, 0x5F, 0x97, 0x44, 0x17, 0xC4, 0xA7, 0x7E, 0x3D, 0x64, 0x5D, 0x19, 0x73,
+                    0x60, 0x81, 0x4F, 0xDC, 0x22, 0x2A, 0x90, 0x88, 0x46, 0xEE, 0xB8, 0x14, 0xDE, 0x5E, 0x0B, 0xDB,
+                    0xE0, 0x32, 0x3A, 0x0A, 0x49, 0x06, 0x24, 0x5C, 0xC2, 0xD3, 0xAC, 0x62, 0x91, 0x95, 0xE4, 0x79,
+                    0xE7, 0xC8, 0x37, 0x6D, 0x8D, 0xD5, 0x4E, 0xA9, 0x6C, 0x56, 0xF4, 0xEA, 0x65, 0x7A, 0xAE, 0x08,
+                    0xBA, 0x78, 0x25, 0x2E, 0x1C, 0xA6, 0xB4, 0xC6, 0xE8, 0xDD, 0x74, 0x1F, 0x4B, 0xBD, 0x8B, 0x8A,
+                    0x70, 0x3E, 0xB5, 0x66, 0x48, 0x03, 0xF6, 0x0E, 0x61, 0x35, 0x57, 0xB9, 0x86, 0xC1, 0x1D, 0x9E,
+                    0xE1, 0xF8, 0x98, 0x11, 0x69, 0xD9, 0x8E, 0x94, 0x9B, 0x1E, 0x87, 0xE9, 0xCE, 0x55, 0x28, 0xDF,
+                    0x8C, 0xA1, 0x89, 0x0D, 0xBF, 0xE6, 0x42, 0x68, 0x41, 0x99, 0x2D, 0x0F, 0xB0, 0x54, 0xBB, 0x16
+                ]
+            ];
+        }
+        return $tables;
+    }
+
+    /**
+     * Provides the inverse mixColumns and inverse sboxes tables
+     *
+     * @see self::decryptBlock()
+     * @see self::setupInlineCrypt()
+     * @see self::setupKey()
+     * @access private
+     * @return array &$tables
+     */
+    protected function &getInvTables()
+    {
+        static $tables;
+        if (empty($tables)) {
+            $dt3 = array_map('intval', [
+                0xF4A75051, 0x4165537E, 0x17A4C31A, 0x275E963A, 0xAB6BCB3B, 0x9D45F11F, 0xFA58ABAC, 0xE303934B,
+                0x30FA5520, 0x766DF6AD, 0xCC769188, 0x024C25F5, 0xE5D7FC4F, 0x2ACBD7C5, 0x35448026, 0x62A38FB5,
+                0xB15A49DE, 0xBA1B6725, 0xEA0E9845, 0xFEC0E15D, 0x2F7502C3, 0x4CF01281, 0x4697A38D, 0xD3F9C66B,
+                0x8F5FE703, 0x929C9515, 0x6D7AEBBF, 0x5259DA95, 0xBE832DD4, 0x7421D358, 0xE0692949, 0xC9C8448E,
+                0xC2896A75, 0x8E7978F4, 0x583E6B99, 0xB971DD27, 0xE14FB6BE, 0x88AD17F0, 0x20AC66C9, 0xCE3AB47D,
+                0xDF4A1863, 0x1A3182E5, 0x51336097, 0x537F4562, 0x6477E0B1, 0x6BAE84BB, 0x81A01CFE, 0x082B94F9,
+                0x48685870, 0x45FD198F, 0xDE6C8794, 0x7BF8B752, 0x73D323AB, 0x4B02E272, 0x1F8F57E3, 0x55AB2A66,
+                0xEB2807B2, 0xB5C2032F, 0xC57B9A86, 0x3708A5D3, 0x2887F230, 0xBFA5B223, 0x036ABA02, 0x16825CED,
+                0xCF1C2B8A, 0x79B492A7, 0x07F2F0F3, 0x69E2A14E, 0xDAF4CD65, 0x05BED506, 0x34621FD1, 0xA6FE8AC4,
+                0x2E539D34, 0xF355A0A2, 0x8AE13205, 0xF6EB75A4, 0x83EC390B, 0x60EFAA40, 0x719F065E, 0x6E1051BD,
+                0x218AF93E, 0xDD063D96, 0x3E05AEDD, 0xE6BD464D, 0x548DB591, 0xC45D0571, 0x06D46F04, 0x5015FF60,
+                0x98FB2419, 0xBDE997D6, 0x4043CC89, 0xD99E7767, 0xE842BDB0, 0x898B8807, 0x195B38E7, 0xC8EEDB79,
+                0x7C0A47A1, 0x420FE97C, 0x841EC9F8, 0x00000000, 0x80868309, 0x2BED4832, 0x1170AC1E, 0x5A724E6C,
+                0x0EFFFBFD, 0x8538560F, 0xAED51E3D, 0x2D392736, 0x0FD9640A, 0x5CA62168, 0x5B54D19B, 0x362E3A24,
+                0x0A67B10C, 0x57E70F93, 0xEE96D2B4, 0x9B919E1B, 0xC0C54F80, 0xDC20A261, 0x774B695A, 0x121A161C,
+                0x93BA0AE2, 0xA02AE5C0, 0x22E0433C, 0x1B171D12, 0x090D0B0E, 0x8BC7ADF2, 0xB6A8B92D, 0x1EA9C814,
+                0xF1198557, 0x75074CAF, 0x99DDBBEE, 0x7F60FDA3, 0x01269FF7, 0x72F5BC5C, 0x663BC544, 0xFB7E345B,
+                0x4329768B, 0x23C6DCCB, 0xEDFC68B6, 0xE4F163B8, 0x31DCCAD7, 0x63851042, 0x97224013, 0xC6112084,
+                0x4A247D85, 0xBB3DF8D2, 0xF93211AE, 0x29A16DC7, 0x9E2F4B1D, 0xB230F3DC, 0x8652EC0D, 0xC1E3D077,
+                0xB3166C2B, 0x70B999A9, 0x9448FA11, 0xE9642247, 0xFC8CC4A8, 0xF03F1AA0, 0x7D2CD856, 0x3390EF22,
+                0x494EC787, 0x38D1C1D9, 0xCAA2FE8C, 0xD40B3698, 0xF581CFA6, 0x7ADE28A5, 0xB78E26DA, 0xADBFA43F,
+                0x3A9DE42C, 0x78920D50, 0x5FCC9B6A, 0x7E466254, 0x8D13C2F6, 0xD8B8E890, 0x39F75E2E, 0xC3AFF582,
+                0x5D80BE9F, 0xD0937C69, 0xD52DA96F, 0x2512B3CF, 0xAC993BC8, 0x187DA710, 0x9C636EE8, 0x3BBB7BDB,
+                0x267809CD, 0x5918F46E, 0x9AB701EC, 0x4F9AA883, 0x956E65E6, 0xFFE67EAA, 0xBCCF0821, 0x15E8E6EF,
+                0xE79BD9BA, 0x6F36CE4A, 0x9F09D4EA, 0xB07CD629, 0xA4B2AF31, 0x3F23312A, 0xA59430C6, 0xA266C035,
+                0x4EBC3774, 0x82CAA6FC, 0x90D0B0E0, 0xA7D81533, 0x04984AF1, 0xECDAF741, 0xCD500E7F, 0x91F62F17,
+                0x4DD68D76, 0xEFB04D43, 0xAA4D54CC, 0x9604DFE4, 0xD1B5E39E, 0x6A881B4C, 0x2C1FB8C1, 0x65517F46,
+                0x5EEA049D, 0x8C355D01, 0x877473FA, 0x0B412EFB, 0x671D5AB3, 0xDBD25292, 0x105633E9, 0xD647136D,
+                0xD7618C9A, 0xA10C7A37, 0xF8148E59, 0x133C89EB, 0xA927EECE, 0x61C935B7, 0x1CE5EDE1, 0x47B13C7A,
+                0xD2DF599C, 0xF2733F55, 0x14CE7918, 0xC737BF73, 0xF7CDEA53, 0xFDAA5B5F, 0x3D6F14DF, 0x44DB8678,
+                0xAFF381CA, 0x68C43EB9, 0x24342C38, 0xA3405FC2, 0x1DC37216, 0xE2250CBC, 0x3C498B28, 0x0D9541FF,
+                0xA8017139, 0x0CB3DE08, 0xB4E49CD8, 0x56C19064, 0xCB84617B, 0x32B670D5, 0x6C5C7448, 0xB85742D0
+            ]);
+
+            foreach ($dt3 as $dt3i) {
+                $dt0[] = (($dt3i << 24) & 0xFF000000) | (($dt3i >>  8) & 0x00FFFFFF);
+                $dt1[] = (($dt3i << 16) & 0xFFFF0000) | (($dt3i >> 16) & 0x0000FFFF);
+                $dt2[] = (($dt3i <<  8) & 0xFFFFFF00) | (($dt3i >> 24) & 0x000000FF);
+            };
+
+            $tables = [
+                // The Precomputed inverse mixColumns tables dt0 - dt3
+                $dt0,
+                $dt1,
+                $dt2,
+                $dt3,
+                // The inverse SubByte S-Box
+                [
+                    0x52, 0x09, 0x6A, 0xD5, 0x30, 0x36, 0xA5, 0x38, 0xBF, 0x40, 0xA3, 0x9E, 0x81, 0xF3, 0xD7, 0xFB,
+                    0x7C, 0xE3, 0x39, 0x82, 0x9B, 0x2F, 0xFF, 0x87, 0x34, 0x8E, 0x43, 0x44, 0xC4, 0xDE, 0xE9, 0xCB,
+                    0x54, 0x7B, 0x94, 0x32, 0xA6, 0xC2, 0x23, 0x3D, 0xEE, 0x4C, 0x95, 0x0B, 0x42, 0xFA, 0xC3, 0x4E,
+                    0x08, 0x2E, 0xA1, 0x66, 0x28, 0xD9, 0x24, 0xB2, 0x76, 0x5B, 0xA2, 0x49, 0x6D, 0x8B, 0xD1, 0x25,
+                    0x72, 0xF8, 0xF6, 0x64, 0x86, 0x68, 0x98, 0x16, 0xD4, 0xA4, 0x5C, 0xCC, 0x5D, 0x65, 0xB6, 0x92,
+                    0x6C, 0x70, 0x48, 0x50, 0xFD, 0xED, 0xB9, 0xDA, 0x5E, 0x15, 0x46, 0x57, 0xA7, 0x8D, 0x9D, 0x84,
+                    0x90, 0xD8, 0xAB, 0x00, 0x8C, 0xBC, 0xD3, 0x0A, 0xF7, 0xE4, 0x58, 0x05, 0xB8, 0xB3, 0x45, 0x06,
+                    0xD0, 0x2C, 0x1E, 0x8F, 0xCA, 0x3F, 0x0F, 0x02, 0xC1, 0xAF, 0xBD, 0x03, 0x01, 0x13, 0x8A, 0x6B,
+                    0x3A, 0x91, 0x11, 0x41, 0x4F, 0x67, 0xDC, 0xEA, 0x97, 0xF2, 0xCF, 0xCE, 0xF0, 0xB4, 0xE6, 0x73,
+                    0x96, 0xAC, 0x74, 0x22, 0xE7, 0xAD, 0x35, 0x85, 0xE2, 0xF9, 0x37, 0xE8, 0x1C, 0x75, 0xDF, 0x6E,
+                    0x47, 0xF1, 0x1A, 0x71, 0x1D, 0x29, 0xC5, 0x89, 0x6F, 0xB7, 0x62, 0x0E, 0xAA, 0x18, 0xBE, 0x1B,
+                    0xFC, 0x56, 0x3E, 0x4B, 0xC6, 0xD2, 0x79, 0x20, 0x9A, 0xDB, 0xC0, 0xFE, 0x78, 0xCD, 0x5A, 0xF4,
+                    0x1F, 0xDD, 0xA8, 0x33, 0x88, 0x07, 0xC7, 0x31, 0xB1, 0x12, 0x10, 0x59, 0x27, 0x80, 0xEC, 0x5F,
+                    0x60, 0x51, 0x7F, 0xA9, 0x19, 0xB5, 0x4A, 0x0D, 0x2D, 0xE5, 0x7A, 0x9F, 0x93, 0xC9, 0x9C, 0xEF,
+                    0xA0, 0xE0, 0x3B, 0x4D, 0xAE, 0x2A, 0xF5, 0xB0, 0xC8, 0xEB, 0xBB, 0x3C, 0x83, 0x53, 0x99, 0x61,
+                    0x17, 0x2B, 0x04, 0x7E, 0xBA, 0x77, 0xD6, 0x26, 0xE1, 0x69, 0x14, 0x63, 0x55, 0x21, 0x0C, 0x7D
+                ]
+            ];
+        }
+        return $tables;
+    }
+
+    /**
+     * Setup the performance-optimized function for de/encrypt()
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::setupInlineCrypt()
+     * @access private
+     */
+    protected function setupInlineCrypt()
+    {
+        $w  = $this->w;
+        $dw = $this->dw;
+        $init_encrypt = '';
+        $init_decrypt = '';
+
+        $Nr = $this->Nr;
+        $Nb = $this->Nb;
+        $c  = $this->c;
+
+        // Generating encrypt code:
+        $init_encrypt.= '
+            static $tables;
+            if (empty($tables)) {
+                $tables = &$this->getTables();
+            }
+            $t0   = $tables[0];
+            $t1   = $tables[1];
+            $t2   = $tables[2];
+            $t3   = $tables[3];
+            $sbox = $tables[4];
+        ';
+
+        $s  = 'e';
+        $e  = 's';
+        $wc = $Nb - 1;
+
+        // Preround: addRoundKey
+        $encrypt_block = '$in = unpack("N*", $in);'."\n";
+        for ($i = 0; $i < $Nb; ++$i) {
+            $encrypt_block .= '$s'.$i.' = $in['.($i + 1).'] ^ '.$w[++$wc].";\n";
+        }
+
+        // Mainrounds: shiftRows + subWord + mixColumns + addRoundKey
+        for ($round = 1; $round < $Nr; ++$round) {
+            list($s, $e) = [$e, $s];
+            for ($i = 0; $i < $Nb; ++$i) {
+                $encrypt_block.=
+                    '$'.$e.$i.' =
+                    $t0[($'.$s.$i                  .' >> 24) & 0xff] ^
+                    $t1[($'.$s.(($i + $c[1]) % $Nb).' >> 16) & 0xff] ^
+                    $t2[($'.$s.(($i + $c[2]) % $Nb).' >>  8) & 0xff] ^
+                    $t3[ $'.$s.(($i + $c[3]) % $Nb).'        & 0xff] ^
+                    '.$w[++$wc].";\n";
+            }
+        }
+
+        // Finalround: subWord + shiftRows + addRoundKey
+        for ($i = 0; $i < $Nb; ++$i) {
+            $encrypt_block.=
+                '$'.$e.$i.' =
+                 $sbox[ $'.$e.$i.'        & 0xff]        |
+                ($sbox[($'.$e.$i.' >>  8) & 0xff] <<  8) |
+                ($sbox[($'.$e.$i.' >> 16) & 0xff] << 16) |
+                ($sbox[($'.$e.$i.' >> 24) & 0xff] << 24);'."\n";
+        }
+        $encrypt_block .= '$in = pack("N*"'."\n";
+        for ($i = 0; $i < $Nb; ++$i) {
+            $encrypt_block.= ',
+                ($'.$e.$i                  .' & '.((int)0xFF000000).') ^
+                ($'.$e.(($i + $c[1]) % $Nb).' &         0x00FF0000   ) ^
+                ($'.$e.(($i + $c[2]) % $Nb).' &         0x0000FF00   ) ^
+                ($'.$e.(($i + $c[3]) % $Nb).' &         0x000000FF   ) ^
+                '.$w[$i]."\n";
+        }
+        $encrypt_block .= ');';
+
+        // Generating decrypt code:
+        $init_decrypt.= '
+            static $invtables;
+            if (empty($invtables)) {
+                $invtables = &$this->getInvTables();
+            }
+            $dt0   = $invtables[0];
+            $dt1   = $invtables[1];
+            $dt2   = $invtables[2];
+            $dt3   = $invtables[3];
+            $isbox = $invtables[4];
+        ';
+
+        $s  = 'e';
+        $e  = 's';
+        $wc = $Nb - 1;
+
+        // Preround: addRoundKey
+        $decrypt_block = '$in = unpack("N*", $in);'."\n";
+        for ($i = 0; $i < $Nb; ++$i) {
+            $decrypt_block .= '$s'.$i.' = $in['.($i + 1).'] ^ '.$dw[++$wc].';'."\n";
+        }
+
+        // Mainrounds: shiftRows + subWord + mixColumns + addRoundKey
+        for ($round = 1; $round < $Nr; ++$round) {
+            list($s, $e) = [$e, $s];
+            for ($i = 0; $i < $Nb; ++$i) {
+                $decrypt_block.=
+                    '$'.$e.$i.' =
+                    $dt0[($'.$s.$i                        .' >> 24) & 0xff] ^
+                    $dt1[($'.$s.(($Nb + $i - $c[1]) % $Nb).' >> 16) & 0xff] ^
+                    $dt2[($'.$s.(($Nb + $i - $c[2]) % $Nb).' >>  8) & 0xff] ^
+                    $dt3[ $'.$s.(($Nb + $i - $c[3]) % $Nb).'        & 0xff] ^
+                    '.$dw[++$wc].";\n";
+            }
+        }
+
+        // Finalround: subWord + shiftRows + addRoundKey
+        for ($i = 0; $i < $Nb; ++$i) {
+            $decrypt_block.=
+                '$'.$e.$i.' =
+                 $isbox[ $'.$e.$i.'        & 0xff]        |
+                ($isbox[($'.$e.$i.' >>  8) & 0xff] <<  8) |
+                ($isbox[($'.$e.$i.' >> 16) & 0xff] << 16) |
+                ($isbox[($'.$e.$i.' >> 24) & 0xff] << 24);'."\n";
+        }
+        $decrypt_block .= '$in = pack("N*"'."\n";
+        for ($i = 0; $i < $Nb; ++$i) {
+            $decrypt_block.= ',
+                ($'.$e.$i.                        ' & '.((int)0xFF000000).') ^
+                ($'.$e.(($Nb + $i - $c[1]) % $Nb).' &         0x00FF0000   ) ^
+                ($'.$e.(($Nb + $i - $c[2]) % $Nb).' &         0x0000FF00   ) ^
+                ($'.$e.(($Nb + $i - $c[3]) % $Nb).' &         0x000000FF   ) ^
+                '.$dw[$i]."\n";
+        }
+        $decrypt_block .= ');';
+
+        $this->inline_crypt = $this->createInlineCryptFunction(
+            [
+               'init_crypt'    => '',
+               'init_encrypt'  => $init_encrypt,
+               'init_decrypt'  => $init_decrypt,
+               'encrypt_block' => $encrypt_block,
+               'decrypt_block' => $decrypt_block
+            ]
+        );
+    }
+
+    /**
+     * Encrypts a message.
+     *
+     * @see self::decrypt()
+     * @see parent::encrypt()
+     * @access public
+     * @param string $plaintext
+     * @return string
+     */
+    public function encrypt($plaintext)
+    {
+        $this->setup();
+
+        switch ($this->engine) {
+            case self::ENGINE_LIBSODIUM:
+                $this->newtag = sodium_crypto_aead_aes256gcm_encrypt($plaintext, $this->aad, $this->nonce, $this->key);
+                return Strings::shift($this->newtag, strlen($plaintext));
+            case self::ENGINE_OPENSSL_GCM:
+                return openssl_encrypt(
+                    $plaintext,
+                    'aes-' . $this->getKeyLength() . '-gcm',
+                    $this->key,
+                    OPENSSL_RAW_DATA,
+                    $this->nonce,
+                    $this->newtag,
+                    $this->aad
+                );
+        }
+
+        return parent::encrypt($plaintext);
+    }
+
+    /**
+     * Decrypts a message.
+     *
+     * @see self::encrypt()
+     * @see parent::decrypt()
+     * @access public
+     * @param string $ciphertext
+     * @return string
+     */
+    public function decrypt($ciphertext)
+    {
+        $this->setup();
+
+        switch ($this->engine) {
+            case self::ENGINE_LIBSODIUM:
+                if ($this->oldtag === false) {
+                    throw new InsufficientSetupException('Authentication Tag has not been set');
+                }
+                if (strlen($this->oldtag) != 16) {
+                    break;
+                }
+                $plaintext = sodium_crypto_aead_aes256gcm_decrypt($ciphertext . $this->oldtag, $this->aad, $this->nonce, $this->key);
+                if ($plaintext === false) {
+                    $this->oldtag = false;
+                    throw new BadDecryptionException('Error decrypting ciphertext with libsodium');
+                }
+                return $plaintext;
+            case self::ENGINE_OPENSSL_GCM:
+                if ($this->oldtag === false) {
+                    throw new InsufficientSetupException('Authentication Tag has not been set');
+                }
+                $plaintext = openssl_decrypt(
+                    $ciphertext,
+                    'aes-' . $this->getKeyLength() . '-gcm',
+                    $this->key,
+                    OPENSSL_RAW_DATA,
+                    $this->nonce,
+                    $this->oldtag,
+                    $this->aad
+                );
+                if ($plaintext === false) {
+                    $this->oldtag = false;
+                    throw new BadDecryptionException('Error decrypting ciphertext with OpenSSL');
+                }
+                return $plaintext;
+        }
+
+        return parent::decrypt($ciphertext);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/Salsa20.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Salsa20.php
new file mode 100644
index 000000000..d76af6af0
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Salsa20.php
@@ -0,0 +1,529 @@
+<?php
+
+/**
+ * Pure-PHP implementation of Salsa20.
+ *
+ * PHP version 5
+ *
+ * @category  Crypt
+ * @package   Salsa20
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2019 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt;
+
+use phpseclib3\Crypt\Common\StreamCipher;
+use phpseclib3\Exception\InsufficientSetupException;
+use phpseclib3\Exception\BadDecryptionException;
+use phpseclib3\Common\Functions\Strings;
+
+/**
+ * Pure-PHP implementation of Salsa20.
+ *
+ * @package Salsa20
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class Salsa20 extends StreamCipher
+{
+    /**
+     * Part 1 of the state
+     *
+     * @var string|false
+     */
+    protected $p1 = false;
+
+    /**
+     * Part 2 of the state
+     *
+     * @var string|false
+     */
+    protected $p2 = false;
+
+    /**
+     * Key Length (in bytes)
+     *
+     * @var int
+     */
+    protected $key_length = 32; // = 256 bits
+
+    /**
+     * @access private
+     * @see \phpseclib3\Crypt\Salsa20::crypt()
+     */
+    const ENCRYPT = 0;
+
+    /**
+     * @access private
+     * @see \phpseclib3\Crypt\Salsa20::crypt()
+     */
+    const DECRYPT = 1;
+
+    /**
+     * Encryption buffer for continuous mode
+     *
+     * @var array
+     */
+    protected $enbuffer;
+
+    /**
+     * Decryption buffer for continuous mode
+     *
+     * @var array
+     */
+    protected $debuffer;
+
+    /**
+     * Counter
+     *
+     * @var int
+     */
+    protected $counter = 0;
+
+    /**
+     * Using Generated Poly1305 Key
+     *
+     * @var boolean
+     */
+    protected $usingGeneratedPoly1305Key = false;
+
+    /**
+     * Salsa20 uses a nonce
+     *
+     * @return bool
+     */
+    public function usesNonce()
+    {
+        return true;
+    }
+
+    /**
+     * Sets the key.
+     *
+     * @param string $key
+     * @throws \LengthException if the key length isn't supported
+     */
+    public function setKey($key)
+    {
+        switch (strlen($key)) {
+            case 16:
+            case 32:
+                break;
+            default:
+                throw new \LengthException('Key of size ' . strlen($key) . ' not supported by this algorithm. Only keys of sizes 16 or 32 are supported');
+        }
+
+        parent::setKey($key);
+    }
+
+    /**
+     * Sets the nonce.
+     *
+     * @param string $nonce
+     */
+    public function setNonce($nonce)
+    {
+        if (strlen($nonce) != 8) {
+            throw new \LengthException('Nonce of size ' . strlen($key) . ' not supported by this algorithm. Only an 64-bit nonce is supported');
+        }
+
+        $this->nonce = $nonce;
+        $this->changed = true;
+        $this->setEngine();
+    }
+
+    /**
+     * Sets the counter.
+     *
+     * @param int $counter
+     */
+    public function setCounter($counter)
+    {
+        $this->counter = $counter;
+        $this->setEngine();
+    }
+
+    /**
+     * Creates a Poly1305 key using the method discussed in RFC8439
+     *
+     * See https://tools.ietf.org/html/rfc8439#section-2.6.1
+     */
+    protected function createPoly1305Key()
+    {
+        if ($this->nonce === false) {
+            throw new InsufficientSetupException('No nonce has been defined');
+        }
+
+        if ($this->key === false) {
+            throw new InsufficientSetupException('No key has been defined');
+        }
+
+        $c = clone $this;
+        $c->setCounter(0);
+        $c->usePoly1305 = false;
+        $block = $c->encrypt(str_repeat("\0", 256));
+        $this->setPoly1305Key(substr($block, 0, 32));
+
+        if ($this->counter == 0) {
+            $this->counter++;
+        }
+    }
+
+    /**
+     * Setup the self::ENGINE_INTERNAL $engine
+     *
+     * (re)init, if necessary, the internal cipher $engine
+     *
+     * _setup() will be called each time if $changed === true
+     * typically this happens when using one or more of following public methods:
+     *
+     * - setKey()
+     *
+     * - setNonce()
+     *
+     * - First run of encrypt() / decrypt() with no init-settings
+     *
+     * @see self::setKey()
+     * @see self::setNonce()
+     * @see self::disableContinuousBuffer()
+     */
+    protected function setup()
+    {
+        if (!$this->changed) {
+            return;
+        }
+
+        $this->enbuffer = $this->debuffer = ['ciphertext' => '', 'counter' => $this->counter];
+
+        $this->changed = $this->nonIVChanged = false;
+
+        if ($this->nonce === false) {
+            throw new InsufficientSetupException('No nonce has been defined');
+        }
+
+        if ($this->key === false) {
+            throw new InsufficientSetupException('No key has been defined');
+        }
+
+        if ($this->usePoly1305 && !isset($this->poly1305Key)) {
+            $this->usingGeneratedPoly1305Key = true;
+            $this->createPoly1305Key();
+        }
+
+        $key = $this->key;
+        if (strlen($key) == 16) {
+            $constant = 'expand 16-byte k';
+            $key.= $key;
+        } else {
+            $constant = 'expand 32-byte k';
+        }
+
+        $this->p1 = substr($constant, 0, 4) .
+                    substr($key, 0, 16) .
+                    substr($constant, 4, 4) .
+                    $this->nonce .
+                    "\0\0\0\0";
+        $this->p2 = substr($constant, 8, 4) .
+                    substr($key, 16, 16) .
+                    substr($constant, 12, 4);
+    }
+
+    /**
+     * Setup the key (expansion)
+     */
+    protected function setupKey()
+    {
+        // Salsa20 does not utilize this method
+    }
+
+    /**
+     * Encrypts a message.
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::decrypt()
+     * @see self::crypt()
+     * @param string $plaintext
+     * @return string $ciphertext
+     */
+    public function encrypt($plaintext)
+    {
+        $ciphertext = $this->crypt($plaintext, self::ENCRYPT);
+        if (isset($this->poly1305Key)) {
+            $this->newtag = $this->poly1305($ciphertext);
+        }
+        return $ciphertext;
+    }
+
+    /**
+     * Decrypts a message.
+     *
+     * $this->decrypt($this->encrypt($plaintext)) == $this->encrypt($this->encrypt($plaintext)).
+     * At least if the continuous buffer is disabled.
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::encrypt()
+     * @see self::crypt()
+     * @param string $ciphertext
+     * @return string $plaintext
+     */
+    public function decrypt($ciphertext)
+    {
+        if (isset($this->poly1305Key)) {
+            if ($this->oldtag === false) {
+                throw new InsufficientSetupException('Authentication Tag has not been set');
+            }
+            $newtag = $this->poly1305($ciphertext);
+            if ($this->oldtag != substr($newtag, 0, strlen($this->oldtag))) {
+                $this->oldtag = false;
+                throw new BadDecryptionException('Derived authentication tag and supplied authentication tag do not match');
+            }
+            $this->oldtag = false;
+        }
+
+        return $this->crypt($ciphertext, self::DECRYPT);
+    }
+
+    /**
+     * Encrypts a block
+     *
+     * @param string $in
+     */
+    protected function encryptBlock($in)
+    {
+        // Salsa20 does not utilize this method
+    }
+
+    /**
+     * Decrypts a block
+     *
+     * @param string $in
+     */
+    protected function decryptBlock($in)
+    {
+        // Salsa20 does not utilize this method
+    }
+
+    /**
+     * Encrypts or decrypts a message.
+     *
+     * @see self::encrypt()
+     * @see self::decrypt()
+     * @param string $text
+     * @param int $mode
+     * @return string $text
+     */
+    private function crypt($text, $mode)
+    {
+        $this->setup();
+        if (!$this->continuousBuffer) {
+            if ($this->engine == self::ENGINE_OPENSSL) {
+                $iv = pack('V', $this->counter) . $this->p2;
+                return openssl_encrypt(
+                    $text,
+                    $this->cipher_name_openssl,
+                    $this->key,
+                    OPENSSL_RAW_DATA,
+                    $iv
+                );
+            }
+            $i = $this->counter;
+            $blocks = str_split($text, 64);
+            foreach ($blocks as &$block) {
+                $block^= static::salsa20($this->p1 . pack('V', $i++) . $this->p2);
+            }
+
+            return implode('', $blocks);
+        }
+
+        if ($mode == self::ENCRYPT) {
+            $buffer = &$this->enbuffer;
+        } else {
+            $buffer = &$this->debuffer;
+        }
+        if (strlen($buffer['ciphertext'])) {
+            $ciphertext = $text ^ Strings::shift($buffer['ciphertext'], strlen($text));
+            $text = substr($text, strlen($ciphertext));
+            if (!strlen($text)) {
+                return $ciphertext;
+            }
+        }
+
+        $overflow = strlen($text) % 64; // & 0x3F
+        if ($overflow) {
+            $text2 = Strings::pop($text, $overflow);
+            if ($this->engine == self::ENGINE_OPENSSL) {
+                $iv = pack('V', $buffer['counter']) . $this->p2;
+                // at this point $text should be a multiple of 64
+                $buffer['counter']+= (strlen($text) >> 6) + 1; // ie. divide by 64
+                $encrypted = openssl_encrypt(
+                    $text . str_repeat("\0", 64),
+                    $this->cipher_name_openssl,
+                    $this->key,
+                    OPENSSL_RAW_DATA,
+                    $iv
+                );
+                $temp = Strings::pop($encrypted, 64);
+            } else {
+                $blocks = str_split($text, 64);
+                if (strlen($text)) {
+                    foreach ($blocks as &$block) {
+                        $block^= static::salsa20($this->p1 . pack('V', $buffer['counter']++) . $this->p2);
+                    }
+                }
+                $encrypted = implode('', $blocks);
+                $temp = static::salsa20($this->p1 . pack('V', $buffer['counter']++) . $this->p2);
+            }
+            $ciphertext.= $encrypted . ($text2 ^ $temp);
+            $buffer['ciphertext'] = substr($temp, $overflow);
+        } elseif (!strlen($buffer['ciphertext'])) {
+            if ($this->engine == self::ENGINE_OPENSSL) {
+                $iv = pack('V', $buffer['counter']) . $this->p2;
+                $buffer['counter']+= (strlen($text) >> 6);
+                $ciphertext.= openssl_encrypt(
+                    $text,
+                    $this->cipher_name_openssl,
+                    $this->key,
+                    OPENSSL_RAW_DATA,
+                    $iv
+                );
+            } else {
+                $blocks = str_split($text, 64);
+                foreach ($blocks as &$block) {
+                    $block^= static::salsa20($this->p1 . pack('V', $buffer['counter']++) . $this->p2);
+                }
+                $ciphertext.= implode('', $blocks);
+            }
+        }
+
+        return $ciphertext;
+    }
+
+    /**
+     * Left Rotate
+     *
+     * @param int $x
+     * @param int $n
+     * @return int
+     */
+    protected static function leftRotate($x, $n)
+    {
+        $r1 = $x << $n;
+        if (PHP_INT_SIZE == 8) {
+            $r1&= 0xFFFFFFFF;
+            $r2 = ($x & 0xFFFFFFFF) >> (32 - $n);
+        } else {
+            $r2 = $x >> (32 - $n);
+            $r2&= (1 << $n) - 1;
+        }
+        return $r1 | $r2;
+    }
+
+    /**
+     * The quarterround function
+     *
+     * @param int $a
+     * @param int $b
+     * @param int $c
+     * @param int $d
+     */
+    protected static function quarterRound(&$a, &$b, &$c, &$d)
+    {
+        $b^= self::leftRotate($a + $d,  7);
+        $c^= self::leftRotate($b + $a,  9);
+        $d^= self::leftRotate($c + $b, 13);
+        $a^= self::leftRotate($d + $c, 18);
+    }
+
+    /**
+     * The doubleround function
+     *
+     * @param int $x0 (by reference)
+     * @param int $x1 (by reference)
+     * @param int $x2 (by reference)
+     * @param int $x3 (by reference)
+     * @param int $x4 (by reference)
+     * @param int $x5 (by reference)
+     * @param int $x6 (by reference)
+     * @param int $x7 (by reference)
+     * @param int $x8 (by reference)
+     * @param int $x9 (by reference)
+     * @param int $x10 (by reference)
+     * @param int $x11 (by reference)
+     * @param int $x12 (by reference)
+     * @param int $x13 (by reference)
+     * @param int $x14 (by reference)
+     * @param int $x15 (by reference)
+     */
+    protected static function doubleRound(&$x0, &$x1, &$x2, &$x3, &$x4, &$x5, &$x6, &$x7, &$x8, &$x9, &$x10, &$x11, &$x12, &$x13, &$x14, &$x15)
+    {
+        // columnRound
+        static::quarterRound( $x0,  $x4,  $x8, $x12);
+        static::quarterRound( $x5,  $x9, $x13,  $x1);
+        static::quarterRound($x10, $x14,  $x2,  $x6);
+        static::quarterRound($x15,  $x3,  $x7, $x11);
+        // rowRound
+        static::quarterRound( $x0,  $x1,  $x2,  $x3);
+        static::quarterRound( $x5,  $x6,  $x7,  $x4);
+        static::quarterRound($x10, $x11,  $x8,  $x9);
+        static::quarterRound($x15, $x12, $x13, $x14);
+    }
+
+    /**
+     * The Salsa20 hash function function
+     *
+     * @param string $x
+     */
+    protected static function salsa20($x)
+    {
+        $z = $x = unpack('V*', $x);
+        for ($i = 0; $i < 10; $i++) {
+            static::doubleRound(...$z);
+        }
+
+        for ($i = 1; $i <= 16; $i++) {
+            $x[$i]+= $z[$i];
+        }
+
+        return pack('V*', ...$x);
+    }
+
+    /**
+     * Calculates Poly1305 MAC
+     *
+     * @see self::decrypt()
+     * @see self::encrypt()
+     * @access private
+     * @param string $ciphertext
+     * @return string
+     */
+    protected function poly1305($ciphertext)
+    {
+        if (!$this->usingGeneratedPoly1305Key) {
+            return parent::poly1305($this->aad . $ciphertext);
+        } else {
+            /*
+            sodium_crypto_aead_chacha20poly1305_encrypt does not calculate the poly1305 tag
+            the same way sodium_crypto_aead_chacha20poly1305_ietf_encrypt does. you can see
+            how the latter encrypts it in Salsa20::encrypt(). here's how the former encrypts
+            it:
+
+            $this->newtag = $this->poly1305(
+                $this->aad .
+                pack('V', strlen($this->aad)) . "\0\0\0\0" .
+                $ciphertext .
+                pack('V', strlen($ciphertext)) . "\0\0\0\0"
+            );
+
+            phpseclib opts to use the IETF construction, even when the nonce is 64-bits
+            instead of 96-bits
+            */
+            return parent::poly1305(
+                self::nullPad128($this->aad) .
+                self::nullPad128($ciphertext) .
+                pack('V', strlen($this->aad)) . "\0\0\0\0" .
+                pack('V', strlen($ciphertext)) . "\0\0\0\0"
+            );
+        }
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/TripleDES.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/TripleDES.php
new file mode 100644
index 000000000..2c98d6392
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/TripleDES.php
@@ -0,0 +1,456 @@
+<?php
+
+/**
+ * Pure-PHP implementation of Triple DES.
+ *
+ * Uses mcrypt, if available, and an internal implementation, otherwise.  Operates in the EDE3 mode (encrypt-decrypt-encrypt).
+ *
+ * PHP version 5
+ *
+ * Here's a short example of how to use this library:
+ * <code>
+ * <?php
+ *    include 'vendor/autoload.php';
+ *
+ *    $des = new \phpseclib3\Crypt\TripleDES();
+ *
+ *    $des->setKey('abcdefghijklmnopqrstuvwx');
+ *
+ *    $size = 10 * 1024;
+ *    $plaintext = '';
+ *    for ($i = 0; $i < $size; $i++) {
+ *        $plaintext.= 'a';
+ *    }
+ *
+ *    echo $des->decrypt($des->encrypt($plaintext));
+ * ?>
+ * </code>
+ *
+ * @category  Crypt
+ * @package   TripleDES
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2007 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt;
+
+/**
+ * Pure-PHP implementation of Triple DES.
+ *
+ * @package TripleDES
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class TripleDES extends DES
+{
+    /**
+     * Encrypt / decrypt using inner chaining
+     *
+     * Inner chaining is used by SSH-1 and is generally considered to be less secure then outer chaining (self::MODE_CBC3).
+     */
+    const MODE_3CBC = -2;
+
+    /**
+     * Encrypt / decrypt using outer chaining
+     *
+     * Outer chaining is used by SSH-2 and when the mode is set to \phpseclib3\Crypt\Common\BlockCipher::MODE_CBC.
+     */
+    const MODE_CBC3 = self::MODE_CBC;
+
+    /**
+     * Key Length (in bytes)
+     *
+     * @see \phpseclib3\Crypt\TripleDES::setKeyLength()
+     * @var int
+     * @access private
+     */
+    protected $key_length = 24;
+
+    /**
+     * The mcrypt specific name of the cipher
+     *
+     * @see \phpseclib3\Crypt\DES::cipher_name_mcrypt
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::cipher_name_mcrypt
+     * @var string
+     * @access private
+     */
+    protected $cipher_name_mcrypt = 'tripledes';
+
+    /**
+     * Optimizing value while CFB-encrypting
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::cfb_init_len
+     * @var int
+     * @access private
+     */
+    protected $cfb_init_len = 750;
+
+    /**
+     * max possible size of $key
+     *
+     * @see self::setKey()
+     * @see \phpseclib3\Crypt\DES::setKey()
+     * @var string
+     * @access private
+     */
+    protected $key_length_max = 24;
+
+    /**
+     * Internal flag whether using self::MODE_3CBC or not
+     *
+     * @var bool
+     * @access private
+     */
+    private $mode_3cbc;
+
+    /**
+     * The \phpseclib3\Crypt\DES objects
+     *
+     * Used only if $mode_3cbc === true
+     *
+     * @var array
+     * @access private
+     */
+    private $des;
+
+    /**
+     * Default Constructor.
+     *
+     * Determines whether or not the mcrypt or OpenSSL extensions should be used.
+     *
+     * $mode could be:
+     *
+     * - ecb
+     *
+     * - cbc
+     *
+     * - ctr
+     *
+     * - cfb
+     *
+     * - ofb
+     *
+     * - 3cbc
+     *
+     * - cbc3 (same as cbc)
+     *
+     * @see \phpseclib3\Crypt\DES::__construct()
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::__construct()
+     * @param string $mode
+     * @access public
+     */
+    public function __construct($mode)
+    {
+        switch (strtolower($mode)) {
+            // In case of self::MODE_3CBC, we init as CRYPT_DES_MODE_CBC
+            // and additional flag us internally as 3CBC
+            case '3cbc':
+                parent::__construct('cbc');
+                $this->mode_3cbc = true;
+
+                // This three $des'es will do the 3CBC work (if $key > 64bits)
+                $this->des = [
+                    new DES('cbc'),
+                    new DES('cbc'),
+                    new DES('cbc'),
+                ];
+
+                // we're going to be doing the padding, ourselves, so disable it in the \phpseclib3\Crypt\DES objects
+                $this->des[0]->disablePadding();
+                $this->des[1]->disablePadding();
+                $this->des[2]->disablePadding();
+                break;
+            case 'cbc3':
+                $mode = 'cbc';
+            // If not 3CBC, we init as usual
+            default:
+                parent::__construct($mode);
+
+                if ($this->mode == self::MODE_STREAM) {
+                    throw new BadModeException('Block ciphers cannot be ran in stream mode');
+                }
+        }
+    }
+
+    /**
+     * Test for engine validity
+     *
+     * This is mainly just a wrapper to set things up for \phpseclib3\Crypt\Common\SymmetricKey::isValidEngine()
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::__construct()
+     * @param int $engine
+     * @access protected
+     * @return bool
+     */
+    protected function isValidEngineHelper($engine)
+    {
+        if ($engine == self::ENGINE_OPENSSL) {
+            self::$cipher_name_openssl_ecb = 'des-ede3';
+            $mode = $this->openssl_translate_mode();
+            $this->cipher_name_openssl = $mode == 'ecb' ? 'des-ede3' : 'des-ede3-' . $mode;
+        }
+
+        return parent::isValidEngineHelper($engine);
+    }
+
+    /**
+     * Sets the initialization vector.
+     *
+     * SetIV is not required when \phpseclib3\Crypt\Common\SymmetricKey::MODE_ECB is being used.
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::setIV()
+     * @access public
+     * @param string $iv
+     */
+    public function setIV($iv)
+    {
+        parent::setIV($iv);
+        if ($this->mode_3cbc) {
+            $this->des[0]->setIV($iv);
+            $this->des[1]->setIV($iv);
+            $this->des[2]->setIV($iv);
+        }
+    }
+
+    /**
+     * Sets the key length.
+     *
+     * Valid key lengths are 128 and 192 bits.
+     *
+     * If you want to use a 64-bit key use DES.php
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey:setKeyLength()
+     * @access public
+     * @throws \LengthException if the key length is invalid
+     * @param int $length
+     */
+    public function setKeyLength($length)
+    {
+        switch ($length) {
+            case 128:
+            case 192:
+                break;
+            default:
+                throw new \LengthException('Key size of ' . $length . ' bits is not supported by this algorithm. Only keys of sizes 128 or 192 bits are supported');
+        }
+
+        parent::setKeyLength($length);
+    }
+
+    /**
+     * Sets the key.
+     *
+     * Triple DES can use 128-bit (eg. strlen($key) == 16) or 192-bit (eg. strlen($key) == 24) keys.
+     *
+     * DES also requires that every eighth bit be a parity bit, however, we'll ignore that.
+     *
+     * @access public
+     * @see \phpseclib3\Crypt\DES::setKey()
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::setKey()
+     * @throws \LengthException if the key length is invalid
+     * @param string $key
+     */
+    public function setKey($key)
+    {
+        if ($this->explicit_key_length !== false && strlen($key) != $this->explicit_key_length) {
+            throw new \LengthException('Key length has already been set to ' . $this->explicit_key_length . ' bytes and this key is ' . strlen($key) . ' bytes');
+        }
+
+        switch (strlen($key)) {
+            case 16:
+                $key.= substr($key, 0, 8);
+                break;
+            case 24:
+                break;
+            default:
+                throw new \LengthException('Key of size ' . strlen($key) . ' not supported by this algorithm. Only keys of sizes 16 or 24 are supported');
+        }
+
+        // copied from self::setKey()
+        $this->key = $key;
+        $this->key_length = strlen($key);
+        $this->changed = $this->nonIVChanged = true;
+        $this->setEngine();
+
+        if ($this->mode_3cbc) {
+            $this->des[0]->setKey(substr($key,  0, 8));
+            $this->des[1]->setKey(substr($key,  8, 8));
+            $this->des[2]->setKey(substr($key, 16, 8));
+        }
+    }
+
+    /**
+     * Encrypts a message.
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::encrypt()
+     * @access public
+     * @param string $plaintext
+     * @return string $cipertext
+     */
+    public function encrypt($plaintext)
+    {
+        // parent::en/decrypt() is able to do all the work for all modes and keylengths,
+        // except for: self::MODE_3CBC (inner chaining CBC) with a key > 64bits
+
+        // if the key is smaller then 8, do what we'd normally do
+        if ($this->mode_3cbc && strlen($this->key) > 8) {
+            return $this->des[2]->encrypt(
+                $this->des[1]->decrypt(
+                    $this->des[0]->encrypt(
+                        $this->pad($plaintext)
+                    )
+                )
+            );
+        }
+
+        return parent::encrypt($plaintext);
+    }
+
+    /**
+     * Decrypts a message.
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::decrypt()
+     * @access public
+     * @param string $ciphertext
+     * @return string $plaintext
+     */
+    public function decrypt($ciphertext)
+    {
+        if ($this->mode_3cbc && strlen($this->key) > 8) {
+            return $this->unpad(
+                $this->des[0]->decrypt(
+                    $this->des[1]->encrypt(
+                        $this->des[2]->decrypt(
+                            str_pad($ciphertext, (strlen($ciphertext) + 7) & 0xFFFFFFF8, "\0")
+                        )
+                    )
+                )
+            );
+        }
+
+        return parent::decrypt($ciphertext);
+    }
+
+    /**
+     * Treat consecutive "packets" as if they are a continuous buffer.
+     *
+     * Say you have a 16-byte plaintext $plaintext.  Using the default behavior, the two following code snippets
+     * will yield different outputs:
+     *
+     * <code>
+     *    echo $des->encrypt(substr($plaintext, 0, 8));
+     *    echo $des->encrypt(substr($plaintext, 8, 8));
+     * </code>
+     * <code>
+     *    echo $des->encrypt($plaintext);
+     * </code>
+     *
+     * The solution is to enable the continuous buffer.  Although this will resolve the above discrepancy, it creates
+     * another, as demonstrated with the following:
+     *
+     * <code>
+     *    $des->encrypt(substr($plaintext, 0, 8));
+     *    echo $des->decrypt($des->encrypt(substr($plaintext, 8, 8)));
+     * </code>
+     * <code>
+     *    echo $des->decrypt($des->encrypt(substr($plaintext, 8, 8)));
+     * </code>
+     *
+     * With the continuous buffer disabled, these would yield the same output.  With it enabled, they yield different
+     * outputs.  The reason is due to the fact that the initialization vector's change after every encryption /
+     * decryption round when the continuous buffer is enabled.  When it's disabled, they remain constant.
+     *
+     * Put another way, when the continuous buffer is enabled, the state of the \phpseclib3\Crypt\DES() object changes after each
+     * encryption / decryption round, whereas otherwise, it'd remain constant.  For this reason, it's recommended that
+     * continuous buffers not be used.  They do offer better security and are, in fact, sometimes required (SSH uses them),
+     * however, they are also less intuitive and more likely to cause you problems.
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::enableContinuousBuffer()
+     * @see self::disableContinuousBuffer()
+     * @access public
+     */
+    public function enableContinuousBuffer()
+    {
+        parent::enableContinuousBuffer();
+        if ($this->mode_3cbc) {
+            $this->des[0]->enableContinuousBuffer();
+            $this->des[1]->enableContinuousBuffer();
+            $this->des[2]->enableContinuousBuffer();
+        }
+    }
+
+    /**
+     * Treat consecutive packets as if they are a discontinuous buffer.
+     *
+     * The default behavior.
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::disableContinuousBuffer()
+     * @see self::enableContinuousBuffer()
+     * @access public
+     */
+    public function disableContinuousBuffer()
+    {
+        parent::disableContinuousBuffer();
+        if ($this->mode_3cbc) {
+            $this->des[0]->disableContinuousBuffer();
+            $this->des[1]->disableContinuousBuffer();
+            $this->des[2]->disableContinuousBuffer();
+        }
+    }
+
+    /**
+     * Creates the key schedule
+     *
+     * @see \phpseclib3\Crypt\DES::setupKey()
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::setupKey()
+     * @access private
+     */
+    protected function setupKey()
+    {
+        switch (true) {
+            // if $key <= 64bits we configure our internal pure-php cipher engine
+            // to act as regular [1]DES, not as 3DES. mcrypt.so::tripledes does the same.
+            case strlen($this->key) <= 8:
+                $this->des_rounds = 1;
+                break;
+
+            // otherwise, if $key > 64bits, we configure our engine to work as 3DES.
+            default:
+                $this->des_rounds = 3;
+
+                // (only) if 3CBC is used we have, of course, to setup the $des[0-2] keys also separately.
+                if ($this->mode_3cbc) {
+                    $this->des[0]->setupKey();
+                    $this->des[1]->setupKey();
+                    $this->des[2]->setupKey();
+
+                    // because $des[0-2] will, now, do all the work we can return here
+                    // not need unnecessary stress parent::setupKey() with our, now unused, $key.
+                    return;
+                }
+        }
+        // setup our key
+        parent::setupKey();
+    }
+
+    /**
+     * Sets the internal crypt engine
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::__construct()
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::setPreferredEngine()
+     * @param int $engine
+     * @access public
+     */
+    public function setPreferredEngine($engine)
+    {
+        if ($this->mode_3cbc) {
+            $this->des[0]->setPreferredEngine($engine);
+            $this->des[1]->setPreferredEngine($engine);
+            $this->des[2]->setPreferredEngine($engine);
+        }
+
+        parent::setPreferredEngine($engine);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Crypt/Twofish.php b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Twofish.php
new file mode 100644
index 000000000..c9cc5b46c
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Crypt/Twofish.php
@@ -0,0 +1,826 @@
+<?php
+
+/**
+ * Pure-PHP implementation of Twofish.
+ *
+ * Uses mcrypt, if available, and an internal implementation, otherwise.
+ *
+ * PHP version 5
+ *
+ * Useful resources are as follows:
+ *
+ *  - {@link http://en.wikipedia.org/wiki/Twofish Wikipedia description of Twofish}
+ *
+ * Here's a short example of how to use this library:
+ * <code>
+ * <?php
+ *    include 'vendor/autoload.php';
+ *
+ *    $twofish = new \phpseclib3\Crypt\Twofish();
+ *
+ *    $twofish->setKey('12345678901234567890123456789012');
+ *
+ *    $plaintext = str_repeat('a', 1024);
+ *
+ *    echo $twofish->decrypt($twofish->encrypt($plaintext));
+ * ?>
+ * </code>
+ *
+ * @category  Crypt
+ * @package   Twofish
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @author    Hans-Juergen Petrich <petrich@tronic-media.com>
+ * @copyright 2007 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Crypt;
+
+use phpseclib3\Crypt\Common\BlockCipher;
+use phpseclib3\Exception\BadModeException;
+
+/**
+ * Pure-PHP implementation of Twofish.
+ *
+ * @package Twofish
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @author  Hans-Juergen Petrich <petrich@tronic-media.com>
+ * @access  public
+ */
+class Twofish extends BlockCipher
+{
+    /**
+     * The mcrypt specific name of the cipher
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::cipher_name_mcrypt
+     * @var string
+     * @access private
+     */
+    protected $cipher_name_mcrypt = 'twofish';
+
+    /**
+     * Optimizing value while CFB-encrypting
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::cfb_init_len
+     * @var int
+     * @access private
+     */
+    protected $cfb_init_len = 800;
+
+    /**
+     * Q-Table
+     *
+     * @var array
+     * @access private
+     */
+    private static $q0 = [
+        0xA9, 0x67, 0xB3, 0xE8, 0x04, 0xFD, 0xA3, 0x76,
+        0x9A, 0x92, 0x80, 0x78, 0xE4, 0xDD, 0xD1, 0x38,
+        0x0D, 0xC6, 0x35, 0x98, 0x18, 0xF7, 0xEC, 0x6C,
+        0x43, 0x75, 0x37, 0x26, 0xFA, 0x13, 0x94, 0x48,
+        0xF2, 0xD0, 0x8B, 0x30, 0x84, 0x54, 0xDF, 0x23,
+        0x19, 0x5B, 0x3D, 0x59, 0xF3, 0xAE, 0xA2, 0x82,
+        0x63, 0x01, 0x83, 0x2E, 0xD9, 0x51, 0x9B, 0x7C,
+        0xA6, 0xEB, 0xA5, 0xBE, 0x16, 0x0C, 0xE3, 0x61,
+        0xC0, 0x8C, 0x3A, 0xF5, 0x73, 0x2C, 0x25, 0x0B,
+        0xBB, 0x4E, 0x89, 0x6B, 0x53, 0x6A, 0xB4, 0xF1,
+        0xE1, 0xE6, 0xBD, 0x45, 0xE2, 0xF4, 0xB6, 0x66,
+        0xCC, 0x95, 0x03, 0x56, 0xD4, 0x1C, 0x1E, 0xD7,
+        0xFB, 0xC3, 0x8E, 0xB5, 0xE9, 0xCF, 0xBF, 0xBA,
+        0xEA, 0x77, 0x39, 0xAF, 0x33, 0xC9, 0x62, 0x71,
+        0x81, 0x79, 0x09, 0xAD, 0x24, 0xCD, 0xF9, 0xD8,
+        0xE5, 0xC5, 0xB9, 0x4D, 0x44, 0x08, 0x86, 0xE7,
+        0xA1, 0x1D, 0xAA, 0xED, 0x06, 0x70, 0xB2, 0xD2,
+        0x41, 0x7B, 0xA0, 0x11, 0x31, 0xC2, 0x27, 0x90,
+        0x20, 0xF6, 0x60, 0xFF, 0x96, 0x5C, 0xB1, 0xAB,
+        0x9E, 0x9C, 0x52, 0x1B, 0x5F, 0x93, 0x0A, 0xEF,
+        0x91, 0x85, 0x49, 0xEE, 0x2D, 0x4F, 0x8F, 0x3B,
+        0x47, 0x87, 0x6D, 0x46, 0xD6, 0x3E, 0x69, 0x64,
+        0x2A, 0xCE, 0xCB, 0x2F, 0xFC, 0x97, 0x05, 0x7A,
+        0xAC, 0x7F, 0xD5, 0x1A, 0x4B, 0x0E, 0xA7, 0x5A,
+        0x28, 0x14, 0x3F, 0x29, 0x88, 0x3C, 0x4C, 0x02,
+        0xB8, 0xDA, 0xB0, 0x17, 0x55, 0x1F, 0x8A, 0x7D,
+        0x57, 0xC7, 0x8D, 0x74, 0xB7, 0xC4, 0x9F, 0x72,
+        0x7E, 0x15, 0x22, 0x12, 0x58, 0x07, 0x99, 0x34,
+        0x6E, 0x50, 0xDE, 0x68, 0x65, 0xBC, 0xDB, 0xF8,
+        0xC8, 0xA8, 0x2B, 0x40, 0xDC, 0xFE, 0x32, 0xA4,
+        0xCA, 0x10, 0x21, 0xF0, 0xD3, 0x5D, 0x0F, 0x00,
+        0x6F, 0x9D, 0x36, 0x42, 0x4A, 0x5E, 0xC1, 0xE0
+    ];
+
+    /**
+     * Q-Table
+     *
+     * @var array
+     * @access private
+     */
+    private static $q1 = [
+        0x75, 0xF3, 0xC6, 0xF4, 0xDB, 0x7B, 0xFB, 0xC8,
+        0x4A, 0xD3, 0xE6, 0x6B, 0x45, 0x7D, 0xE8, 0x4B,
+        0xD6, 0x32, 0xD8, 0xFD, 0x37, 0x71, 0xF1, 0xE1,
+        0x30, 0x0F, 0xF8, 0x1B, 0x87, 0xFA, 0x06, 0x3F,
+        0x5E, 0xBA, 0xAE, 0x5B, 0x8A, 0x00, 0xBC, 0x9D,
+        0x6D, 0xC1, 0xB1, 0x0E, 0x80, 0x5D, 0xD2, 0xD5,
+        0xA0, 0x84, 0x07, 0x14, 0xB5, 0x90, 0x2C, 0xA3,
+        0xB2, 0x73, 0x4C, 0x54, 0x92, 0x74, 0x36, 0x51,
+        0x38, 0xB0, 0xBD, 0x5A, 0xFC, 0x60, 0x62, 0x96,
+        0x6C, 0x42, 0xF7, 0x10, 0x7C, 0x28, 0x27, 0x8C,
+        0x13, 0x95, 0x9C, 0xC7, 0x24, 0x46, 0x3B, 0x70,
+        0xCA, 0xE3, 0x85, 0xCB, 0x11, 0xD0, 0x93, 0xB8,
+        0xA6, 0x83, 0x20, 0xFF, 0x9F, 0x77, 0xC3, 0xCC,
+        0x03, 0x6F, 0x08, 0xBF, 0x40, 0xE7, 0x2B, 0xE2,
+        0x79, 0x0C, 0xAA, 0x82, 0x41, 0x3A, 0xEA, 0xB9,
+        0xE4, 0x9A, 0xA4, 0x97, 0x7E, 0xDA, 0x7A, 0x17,
+        0x66, 0x94, 0xA1, 0x1D, 0x3D, 0xF0, 0xDE, 0xB3,
+        0x0B, 0x72, 0xA7, 0x1C, 0xEF, 0xD1, 0x53, 0x3E,
+        0x8F, 0x33, 0x26, 0x5F, 0xEC, 0x76, 0x2A, 0x49,
+        0x81, 0x88, 0xEE, 0x21, 0xC4, 0x1A, 0xEB, 0xD9,
+        0xC5, 0x39, 0x99, 0xCD, 0xAD, 0x31, 0x8B, 0x01,
+        0x18, 0x23, 0xDD, 0x1F, 0x4E, 0x2D, 0xF9, 0x48,
+        0x4F, 0xF2, 0x65, 0x8E, 0x78, 0x5C, 0x58, 0x19,
+        0x8D, 0xE5, 0x98, 0x57, 0x67, 0x7F, 0x05, 0x64,
+        0xAF, 0x63, 0xB6, 0xFE, 0xF5, 0xB7, 0x3C, 0xA5,
+        0xCE, 0xE9, 0x68, 0x44, 0xE0, 0x4D, 0x43, 0x69,
+        0x29, 0x2E, 0xAC, 0x15, 0x59, 0xA8, 0x0A, 0x9E,
+        0x6E, 0x47, 0xDF, 0x34, 0x35, 0x6A, 0xCF, 0xDC,
+        0x22, 0xC9, 0xC0, 0x9B, 0x89, 0xD4, 0xED, 0xAB,
+        0x12, 0xA2, 0x0D, 0x52, 0xBB, 0x02, 0x2F, 0xA9,
+        0xD7, 0x61, 0x1E, 0xB4, 0x50, 0x04, 0xF6, 0xC2,
+        0x16, 0x25, 0x86, 0x56, 0x55, 0x09, 0xBE, 0x91
+    ];
+
+    /**
+     * M-Table
+     *
+     * @var array
+     * @access private
+     */
+    private static $m0 = [
+        0xBCBC3275, 0xECEC21F3, 0x202043C6, 0xB3B3C9F4, 0xDADA03DB, 0x02028B7B, 0xE2E22BFB, 0x9E9EFAC8,
+        0xC9C9EC4A, 0xD4D409D3, 0x18186BE6, 0x1E1E9F6B, 0x98980E45, 0xB2B2387D, 0xA6A6D2E8, 0x2626B74B,
+        0x3C3C57D6, 0x93938A32, 0x8282EED8, 0x525298FD, 0x7B7BD437, 0xBBBB3771, 0x5B5B97F1, 0x474783E1,
+        0x24243C30, 0x5151E20F, 0xBABAC6F8, 0x4A4AF31B, 0xBFBF4887, 0x0D0D70FA, 0xB0B0B306, 0x7575DE3F,
+        0xD2D2FD5E, 0x7D7D20BA, 0x666631AE, 0x3A3AA35B, 0x59591C8A, 0x00000000, 0xCDCD93BC, 0x1A1AE09D,
+        0xAEAE2C6D, 0x7F7FABC1, 0x2B2BC7B1, 0xBEBEB90E, 0xE0E0A080, 0x8A8A105D, 0x3B3B52D2, 0x6464BAD5,
+        0xD8D888A0, 0xE7E7A584, 0x5F5FE807, 0x1B1B1114, 0x2C2CC2B5, 0xFCFCB490, 0x3131272C, 0x808065A3,
+        0x73732AB2, 0x0C0C8173, 0x79795F4C, 0x6B6B4154, 0x4B4B0292, 0x53536974, 0x94948F36, 0x83831F51,
+        0x2A2A3638, 0xC4C49CB0, 0x2222C8BD, 0xD5D5F85A, 0xBDBDC3FC, 0x48487860, 0xFFFFCE62, 0x4C4C0796,
+        0x4141776C, 0xC7C7E642, 0xEBEB24F7, 0x1C1C1410, 0x5D5D637C, 0x36362228, 0x6767C027, 0xE9E9AF8C,
+        0x4444F913, 0x1414EA95, 0xF5F5BB9C, 0xCFCF18C7, 0x3F3F2D24, 0xC0C0E346, 0x7272DB3B, 0x54546C70,
+        0x29294CCA, 0xF0F035E3, 0x0808FE85, 0xC6C617CB, 0xF3F34F11, 0x8C8CE4D0, 0xA4A45993, 0xCACA96B8,
+        0x68683BA6, 0xB8B84D83, 0x38382820, 0xE5E52EFF, 0xADAD569F, 0x0B0B8477, 0xC8C81DC3, 0x9999FFCC,
+        0x5858ED03, 0x19199A6F, 0x0E0E0A08, 0x95957EBF, 0x70705040, 0xF7F730E7, 0x6E6ECF2B, 0x1F1F6EE2,
+        0xB5B53D79, 0x09090F0C, 0x616134AA, 0x57571682, 0x9F9F0B41, 0x9D9D803A, 0x111164EA, 0x2525CDB9,
+        0xAFAFDDE4, 0x4545089A, 0xDFDF8DA4, 0xA3A35C97, 0xEAEAD57E, 0x353558DA, 0xEDEDD07A, 0x4343FC17,
+        0xF8F8CB66, 0xFBFBB194, 0x3737D3A1, 0xFAFA401D, 0xC2C2683D, 0xB4B4CCF0, 0x32325DDE, 0x9C9C71B3,
+        0x5656E70B, 0xE3E3DA72, 0x878760A7, 0x15151B1C, 0xF9F93AEF, 0x6363BFD1, 0x3434A953, 0x9A9A853E,
+        0xB1B1428F, 0x7C7CD133, 0x88889B26, 0x3D3DA65F, 0xA1A1D7EC, 0xE4E4DF76, 0x8181942A, 0x91910149,
+        0x0F0FFB81, 0xEEEEAA88, 0x161661EE, 0xD7D77321, 0x9797F5C4, 0xA5A5A81A, 0xFEFE3FEB, 0x6D6DB5D9,
+        0x7878AEC5, 0xC5C56D39, 0x1D1DE599, 0x7676A4CD, 0x3E3EDCAD, 0xCBCB6731, 0xB6B6478B, 0xEFEF5B01,
+        0x12121E18, 0x6060C523, 0x6A6AB0DD, 0x4D4DF61F, 0xCECEE94E, 0xDEDE7C2D, 0x55559DF9, 0x7E7E5A48,
+        0x2121B24F, 0x03037AF2, 0xA0A02665, 0x5E5E198E, 0x5A5A6678, 0x65654B5C, 0x62624E58, 0xFDFD4519,
+        0x0606F48D, 0x404086E5, 0xF2F2BE98, 0x3333AC57, 0x17179067, 0x05058E7F, 0xE8E85E05, 0x4F4F7D64,
+        0x89896AAF, 0x10109563, 0x74742FB6, 0x0A0A75FE, 0x5C5C92F5, 0x9B9B74B7, 0x2D2D333C, 0x3030D6A5,
+        0x2E2E49CE, 0x494989E9, 0x46467268, 0x77775544, 0xA8A8D8E0, 0x9696044D, 0x2828BD43, 0xA9A92969,
+        0xD9D97929, 0x8686912E, 0xD1D187AC, 0xF4F44A15, 0x8D8D1559, 0xD6D682A8, 0xB9B9BC0A, 0x42420D9E,
+        0xF6F6C16E, 0x2F2FB847, 0xDDDD06DF, 0x23233934, 0xCCCC6235, 0xF1F1C46A, 0xC1C112CF, 0x8585EBDC,
+        0x8F8F9E22, 0x7171A1C9, 0x9090F0C0, 0xAAAA539B, 0x0101F189, 0x8B8BE1D4, 0x4E4E8CED, 0x8E8E6FAB,
+        0xABABA212, 0x6F6F3EA2, 0xE6E6540D, 0xDBDBF252, 0x92927BBB, 0xB7B7B602, 0x6969CA2F, 0x3939D9A9,
+        0xD3D30CD7, 0xA7A72361, 0xA2A2AD1E, 0xC3C399B4, 0x6C6C4450, 0x07070504, 0x04047FF6, 0x272746C2,
+        0xACACA716, 0xD0D07625, 0x50501386, 0xDCDCF756, 0x84841A55, 0xE1E15109, 0x7A7A25BE, 0x1313EF91
+    ];
+
+    /**
+     * M-Table
+     *
+     * @var array
+     * @access private
+     */
+    private static $m1 = [
+        0xA9D93939, 0x67901717, 0xB3719C9C, 0xE8D2A6A6, 0x04050707, 0xFD985252, 0xA3658080, 0x76DFE4E4,
+        0x9A084545, 0x92024B4B, 0x80A0E0E0, 0x78665A5A, 0xE4DDAFAF, 0xDDB06A6A, 0xD1BF6363, 0x38362A2A,
+        0x0D54E6E6, 0xC6432020, 0x3562CCCC, 0x98BEF2F2, 0x181E1212, 0xF724EBEB, 0xECD7A1A1, 0x6C774141,
+        0x43BD2828, 0x7532BCBC, 0x37D47B7B, 0x269B8888, 0xFA700D0D, 0x13F94444, 0x94B1FBFB, 0x485A7E7E,
+        0xF27A0303, 0xD0E48C8C, 0x8B47B6B6, 0x303C2424, 0x84A5E7E7, 0x54416B6B, 0xDF06DDDD, 0x23C56060,
+        0x1945FDFD, 0x5BA33A3A, 0x3D68C2C2, 0x59158D8D, 0xF321ECEC, 0xAE316666, 0xA23E6F6F, 0x82165757,
+        0x63951010, 0x015BEFEF, 0x834DB8B8, 0x2E918686, 0xD9B56D6D, 0x511F8383, 0x9B53AAAA, 0x7C635D5D,
+        0xA63B6868, 0xEB3FFEFE, 0xA5D63030, 0xBE257A7A, 0x16A7ACAC, 0x0C0F0909, 0xE335F0F0, 0x6123A7A7,
+        0xC0F09090, 0x8CAFE9E9, 0x3A809D9D, 0xF5925C5C, 0x73810C0C, 0x2C273131, 0x2576D0D0, 0x0BE75656,
+        0xBB7B9292, 0x4EE9CECE, 0x89F10101, 0x6B9F1E1E, 0x53A93434, 0x6AC4F1F1, 0xB499C3C3, 0xF1975B5B,
+        0xE1834747, 0xE66B1818, 0xBDC82222, 0x450E9898, 0xE26E1F1F, 0xF4C9B3B3, 0xB62F7474, 0x66CBF8F8,
+        0xCCFF9999, 0x95EA1414, 0x03ED5858, 0x56F7DCDC, 0xD4E18B8B, 0x1C1B1515, 0x1EADA2A2, 0xD70CD3D3,
+        0xFB2BE2E2, 0xC31DC8C8, 0x8E195E5E, 0xB5C22C2C, 0xE9894949, 0xCF12C1C1, 0xBF7E9595, 0xBA207D7D,
+        0xEA641111, 0x77840B0B, 0x396DC5C5, 0xAF6A8989, 0x33D17C7C, 0xC9A17171, 0x62CEFFFF, 0x7137BBBB,
+        0x81FB0F0F, 0x793DB5B5, 0x0951E1E1, 0xADDC3E3E, 0x242D3F3F, 0xCDA47676, 0xF99D5555, 0xD8EE8282,
+        0xE5864040, 0xC5AE7878, 0xB9CD2525, 0x4D049696, 0x44557777, 0x080A0E0E, 0x86135050, 0xE730F7F7,
+        0xA1D33737, 0x1D40FAFA, 0xAA346161, 0xED8C4E4E, 0x06B3B0B0, 0x706C5454, 0xB22A7373, 0xD2523B3B,
+        0x410B9F9F, 0x7B8B0202, 0xA088D8D8, 0x114FF3F3, 0x3167CBCB, 0xC2462727, 0x27C06767, 0x90B4FCFC,
+        0x20283838, 0xF67F0404, 0x60784848, 0xFF2EE5E5, 0x96074C4C, 0x5C4B6565, 0xB1C72B2B, 0xAB6F8E8E,
+        0x9E0D4242, 0x9CBBF5F5, 0x52F2DBDB, 0x1BF34A4A, 0x5FA63D3D, 0x9359A4A4, 0x0ABCB9B9, 0xEF3AF9F9,
+        0x91EF1313, 0x85FE0808, 0x49019191, 0xEE611616, 0x2D7CDEDE, 0x4FB22121, 0x8F42B1B1, 0x3BDB7272,
+        0x47B82F2F, 0x8748BFBF, 0x6D2CAEAE, 0x46E3C0C0, 0xD6573C3C, 0x3E859A9A, 0x6929A9A9, 0x647D4F4F,
+        0x2A948181, 0xCE492E2E, 0xCB17C6C6, 0x2FCA6969, 0xFCC3BDBD, 0x975CA3A3, 0x055EE8E8, 0x7AD0EDED,
+        0xAC87D1D1, 0x7F8E0505, 0xD5BA6464, 0x1AA8A5A5, 0x4BB72626, 0x0EB9BEBE, 0xA7608787, 0x5AF8D5D5,
+        0x28223636, 0x14111B1B, 0x3FDE7575, 0x2979D9D9, 0x88AAEEEE, 0x3C332D2D, 0x4C5F7979, 0x02B6B7B7,
+        0xB896CACA, 0xDA583535, 0xB09CC4C4, 0x17FC4343, 0x551A8484, 0x1FF64D4D, 0x8A1C5959, 0x7D38B2B2,
+        0x57AC3333, 0xC718CFCF, 0x8DF40606, 0x74695353, 0xB7749B9B, 0xC4F59797, 0x9F56ADAD, 0x72DAE3E3,
+        0x7ED5EAEA, 0x154AF4F4, 0x229E8F8F, 0x12A2ABAB, 0x584E6262, 0x07E85F5F, 0x99E51D1D, 0x34392323,
+        0x6EC1F6F6, 0x50446C6C, 0xDE5D3232, 0x68724646, 0x6526A0A0, 0xBC93CDCD, 0xDB03DADA, 0xF8C6BABA,
+        0xC8FA9E9E, 0xA882D6D6, 0x2BCF6E6E, 0x40507070, 0xDCEB8585, 0xFE750A0A, 0x328A9393, 0xA48DDFDF,
+        0xCA4C2929, 0x10141C1C, 0x2173D7D7, 0xF0CCB4B4, 0xD309D4D4, 0x5D108A8A, 0x0FE25151, 0x00000000,
+        0x6F9A1919, 0x9DE01A1A, 0x368F9494, 0x42E6C7C7, 0x4AECC9C9, 0x5EFDD2D2, 0xC1AB7F7F, 0xE0D8A8A8
+    ];
+
+    /**
+     * M-Table
+     *
+     * @var array
+     * @access private
+     */
+    private static $m2 = [
+        0xBC75BC32, 0xECF3EC21, 0x20C62043, 0xB3F4B3C9, 0xDADBDA03, 0x027B028B, 0xE2FBE22B, 0x9EC89EFA,
+        0xC94AC9EC, 0xD4D3D409, 0x18E6186B, 0x1E6B1E9F, 0x9845980E, 0xB27DB238, 0xA6E8A6D2, 0x264B26B7,
+        0x3CD63C57, 0x9332938A, 0x82D882EE, 0x52FD5298, 0x7B377BD4, 0xBB71BB37, 0x5BF15B97, 0x47E14783,
+        0x2430243C, 0x510F51E2, 0xBAF8BAC6, 0x4A1B4AF3, 0xBF87BF48, 0x0DFA0D70, 0xB006B0B3, 0x753F75DE,
+        0xD25ED2FD, 0x7DBA7D20, 0x66AE6631, 0x3A5B3AA3, 0x598A591C, 0x00000000, 0xCDBCCD93, 0x1A9D1AE0,
+        0xAE6DAE2C, 0x7FC17FAB, 0x2BB12BC7, 0xBE0EBEB9, 0xE080E0A0, 0x8A5D8A10, 0x3BD23B52, 0x64D564BA,
+        0xD8A0D888, 0xE784E7A5, 0x5F075FE8, 0x1B141B11, 0x2CB52CC2, 0xFC90FCB4, 0x312C3127, 0x80A38065,
+        0x73B2732A, 0x0C730C81, 0x794C795F, 0x6B546B41, 0x4B924B02, 0x53745369, 0x9436948F, 0x8351831F,
+        0x2A382A36, 0xC4B0C49C, 0x22BD22C8, 0xD55AD5F8, 0xBDFCBDC3, 0x48604878, 0xFF62FFCE, 0x4C964C07,
+        0x416C4177, 0xC742C7E6, 0xEBF7EB24, 0x1C101C14, 0x5D7C5D63, 0x36283622, 0x672767C0, 0xE98CE9AF,
+        0x441344F9, 0x149514EA, 0xF59CF5BB, 0xCFC7CF18, 0x3F243F2D, 0xC046C0E3, 0x723B72DB, 0x5470546C,
+        0x29CA294C, 0xF0E3F035, 0x088508FE, 0xC6CBC617, 0xF311F34F, 0x8CD08CE4, 0xA493A459, 0xCAB8CA96,
+        0x68A6683B, 0xB883B84D, 0x38203828, 0xE5FFE52E, 0xAD9FAD56, 0x0B770B84, 0xC8C3C81D, 0x99CC99FF,
+        0x580358ED, 0x196F199A, 0x0E080E0A, 0x95BF957E, 0x70407050, 0xF7E7F730, 0x6E2B6ECF, 0x1FE21F6E,
+        0xB579B53D, 0x090C090F, 0x61AA6134, 0x57825716, 0x9F419F0B, 0x9D3A9D80, 0x11EA1164, 0x25B925CD,
+        0xAFE4AFDD, 0x459A4508, 0xDFA4DF8D, 0xA397A35C, 0xEA7EEAD5, 0x35DA3558, 0xED7AEDD0, 0x431743FC,
+        0xF866F8CB, 0xFB94FBB1, 0x37A137D3, 0xFA1DFA40, 0xC23DC268, 0xB4F0B4CC, 0x32DE325D, 0x9CB39C71,
+        0x560B56E7, 0xE372E3DA, 0x87A78760, 0x151C151B, 0xF9EFF93A, 0x63D163BF, 0x345334A9, 0x9A3E9A85,
+        0xB18FB142, 0x7C337CD1, 0x8826889B, 0x3D5F3DA6, 0xA1ECA1D7, 0xE476E4DF, 0x812A8194, 0x91499101,
+        0x0F810FFB, 0xEE88EEAA, 0x16EE1661, 0xD721D773, 0x97C497F5, 0xA51AA5A8, 0xFEEBFE3F, 0x6DD96DB5,
+        0x78C578AE, 0xC539C56D, 0x1D991DE5, 0x76CD76A4, 0x3EAD3EDC, 0xCB31CB67, 0xB68BB647, 0xEF01EF5B,
+        0x1218121E, 0x602360C5, 0x6ADD6AB0, 0x4D1F4DF6, 0xCE4ECEE9, 0xDE2DDE7C, 0x55F9559D, 0x7E487E5A,
+        0x214F21B2, 0x03F2037A, 0xA065A026, 0x5E8E5E19, 0x5A785A66, 0x655C654B, 0x6258624E, 0xFD19FD45,
+        0x068D06F4, 0x40E54086, 0xF298F2BE, 0x335733AC, 0x17671790, 0x057F058E, 0xE805E85E, 0x4F644F7D,
+        0x89AF896A, 0x10631095, 0x74B6742F, 0x0AFE0A75, 0x5CF55C92, 0x9BB79B74, 0x2D3C2D33, 0x30A530D6,
+        0x2ECE2E49, 0x49E94989, 0x46684672, 0x77447755, 0xA8E0A8D8, 0x964D9604, 0x284328BD, 0xA969A929,
+        0xD929D979, 0x862E8691, 0xD1ACD187, 0xF415F44A, 0x8D598D15, 0xD6A8D682, 0xB90AB9BC, 0x429E420D,
+        0xF66EF6C1, 0x2F472FB8, 0xDDDFDD06, 0x23342339, 0xCC35CC62, 0xF16AF1C4, 0xC1CFC112, 0x85DC85EB,
+        0x8F228F9E, 0x71C971A1, 0x90C090F0, 0xAA9BAA53, 0x018901F1, 0x8BD48BE1, 0x4EED4E8C, 0x8EAB8E6F,
+        0xAB12ABA2, 0x6FA26F3E, 0xE60DE654, 0xDB52DBF2, 0x92BB927B, 0xB702B7B6, 0x692F69CA, 0x39A939D9,
+        0xD3D7D30C, 0xA761A723, 0xA21EA2AD, 0xC3B4C399, 0x6C506C44, 0x07040705, 0x04F6047F, 0x27C22746,
+        0xAC16ACA7, 0xD025D076, 0x50865013, 0xDC56DCF7, 0x8455841A, 0xE109E151, 0x7ABE7A25, 0x139113EF
+    ];
+
+    /**
+     * M-Table
+     *
+     * @var array
+     * @access private
+     */
+    private static $m3 = [
+        0xD939A9D9, 0x90176790, 0x719CB371, 0xD2A6E8D2, 0x05070405, 0x9852FD98, 0x6580A365, 0xDFE476DF,
+        0x08459A08, 0x024B9202, 0xA0E080A0, 0x665A7866, 0xDDAFE4DD, 0xB06ADDB0, 0xBF63D1BF, 0x362A3836,
+        0x54E60D54, 0x4320C643, 0x62CC3562, 0xBEF298BE, 0x1E12181E, 0x24EBF724, 0xD7A1ECD7, 0x77416C77,
+        0xBD2843BD, 0x32BC7532, 0xD47B37D4, 0x9B88269B, 0x700DFA70, 0xF94413F9, 0xB1FB94B1, 0x5A7E485A,
+        0x7A03F27A, 0xE48CD0E4, 0x47B68B47, 0x3C24303C, 0xA5E784A5, 0x416B5441, 0x06DDDF06, 0xC56023C5,
+        0x45FD1945, 0xA33A5BA3, 0x68C23D68, 0x158D5915, 0x21ECF321, 0x3166AE31, 0x3E6FA23E, 0x16578216,
+        0x95106395, 0x5BEF015B, 0x4DB8834D, 0x91862E91, 0xB56DD9B5, 0x1F83511F, 0x53AA9B53, 0x635D7C63,
+        0x3B68A63B, 0x3FFEEB3F, 0xD630A5D6, 0x257ABE25, 0xA7AC16A7, 0x0F090C0F, 0x35F0E335, 0x23A76123,
+        0xF090C0F0, 0xAFE98CAF, 0x809D3A80, 0x925CF592, 0x810C7381, 0x27312C27, 0x76D02576, 0xE7560BE7,
+        0x7B92BB7B, 0xE9CE4EE9, 0xF10189F1, 0x9F1E6B9F, 0xA93453A9, 0xC4F16AC4, 0x99C3B499, 0x975BF197,
+        0x8347E183, 0x6B18E66B, 0xC822BDC8, 0x0E98450E, 0x6E1FE26E, 0xC9B3F4C9, 0x2F74B62F, 0xCBF866CB,
+        0xFF99CCFF, 0xEA1495EA, 0xED5803ED, 0xF7DC56F7, 0xE18BD4E1, 0x1B151C1B, 0xADA21EAD, 0x0CD3D70C,
+        0x2BE2FB2B, 0x1DC8C31D, 0x195E8E19, 0xC22CB5C2, 0x8949E989, 0x12C1CF12, 0x7E95BF7E, 0x207DBA20,
+        0x6411EA64, 0x840B7784, 0x6DC5396D, 0x6A89AF6A, 0xD17C33D1, 0xA171C9A1, 0xCEFF62CE, 0x37BB7137,
+        0xFB0F81FB, 0x3DB5793D, 0x51E10951, 0xDC3EADDC, 0x2D3F242D, 0xA476CDA4, 0x9D55F99D, 0xEE82D8EE,
+        0x8640E586, 0xAE78C5AE, 0xCD25B9CD, 0x04964D04, 0x55774455, 0x0A0E080A, 0x13508613, 0x30F7E730,
+        0xD337A1D3, 0x40FA1D40, 0x3461AA34, 0x8C4EED8C, 0xB3B006B3, 0x6C54706C, 0x2A73B22A, 0x523BD252,
+        0x0B9F410B, 0x8B027B8B, 0x88D8A088, 0x4FF3114F, 0x67CB3167, 0x4627C246, 0xC06727C0, 0xB4FC90B4,
+        0x28382028, 0x7F04F67F, 0x78486078, 0x2EE5FF2E, 0x074C9607, 0x4B655C4B, 0xC72BB1C7, 0x6F8EAB6F,
+        0x0D429E0D, 0xBBF59CBB, 0xF2DB52F2, 0xF34A1BF3, 0xA63D5FA6, 0x59A49359, 0xBCB90ABC, 0x3AF9EF3A,
+        0xEF1391EF, 0xFE0885FE, 0x01914901, 0x6116EE61, 0x7CDE2D7C, 0xB2214FB2, 0x42B18F42, 0xDB723BDB,
+        0xB82F47B8, 0x48BF8748, 0x2CAE6D2C, 0xE3C046E3, 0x573CD657, 0x859A3E85, 0x29A96929, 0x7D4F647D,
+        0x94812A94, 0x492ECE49, 0x17C6CB17, 0xCA692FCA, 0xC3BDFCC3, 0x5CA3975C, 0x5EE8055E, 0xD0ED7AD0,
+        0x87D1AC87, 0x8E057F8E, 0xBA64D5BA, 0xA8A51AA8, 0xB7264BB7, 0xB9BE0EB9, 0x6087A760, 0xF8D55AF8,
+        0x22362822, 0x111B1411, 0xDE753FDE, 0x79D92979, 0xAAEE88AA, 0x332D3C33, 0x5F794C5F, 0xB6B702B6,
+        0x96CAB896, 0x5835DA58, 0x9CC4B09C, 0xFC4317FC, 0x1A84551A, 0xF64D1FF6, 0x1C598A1C, 0x38B27D38,
+        0xAC3357AC, 0x18CFC718, 0xF4068DF4, 0x69537469, 0x749BB774, 0xF597C4F5, 0x56AD9F56, 0xDAE372DA,
+        0xD5EA7ED5, 0x4AF4154A, 0x9E8F229E, 0xA2AB12A2, 0x4E62584E, 0xE85F07E8, 0xE51D99E5, 0x39233439,
+        0xC1F66EC1, 0x446C5044, 0x5D32DE5D, 0x72466872, 0x26A06526, 0x93CDBC93, 0x03DADB03, 0xC6BAF8C6,
+        0xFA9EC8FA, 0x82D6A882, 0xCF6E2BCF, 0x50704050, 0xEB85DCEB, 0x750AFE75, 0x8A93328A, 0x8DDFA48D,
+        0x4C29CA4C, 0x141C1014, 0x73D72173, 0xCCB4F0CC, 0x09D4D309, 0x108A5D10, 0xE2510FE2, 0x00000000,
+        0x9A196F9A, 0xE01A9DE0, 0x8F94368F, 0xE6C742E6, 0xECC94AEC, 0xFDD25EFD, 0xAB7FC1AB, 0xD8A8E0D8
+    ];
+
+    /**
+     * The Key Schedule Array
+     *
+     * @var array
+     * @access private
+     */
+    private $K = [];
+
+    /**
+     * The Key depended S-Table 0
+     *
+     * @var array
+     * @access private
+     */
+    private $S0 = [];
+
+    /**
+     * The Key depended S-Table 1
+     *
+     * @var array
+     * @access private
+     */
+    private $S1 = [];
+
+    /**
+     * The Key depended S-Table 2
+     *
+     * @var array
+     * @access private
+     */
+    private $S2 = [];
+
+    /**
+     * The Key depended S-Table 3
+     *
+     * @var array
+     * @access private
+     */
+    private $S3 = [];
+
+    /**
+     * Holds the last used key
+     *
+     * @var array
+     * @access private
+     */
+    private $kl;
+
+    /**
+     * The Key Length (in bytes)
+     *
+     * @see Crypt_Twofish::setKeyLength()
+     * @var int
+     * @access private
+     */
+    protected $key_length = 16;
+
+    /**
+     * Default Constructor.
+     *
+     * @param string $mode
+     * @access public
+     * @throws BadModeException if an invalid / unsupported mode is provided
+     */
+    public function __construct($mode)
+    {
+        parent::__construct($mode);
+
+        if ($this->mode == self::MODE_STREAM) {
+            throw new BadModeException('Block ciphers cannot be ran in stream mode');
+        }
+    }
+
+    /**
+     * Sets the key length.
+     *
+     * Valid key lengths are 128, 192 or 256 bits
+     *
+     * @access public
+     * @param int $length
+     */
+    public function setKeyLength($length)
+    {
+        switch ($length) {
+            case 128:
+            case 192:
+            case 256:
+                break;
+            default:
+                throw new \LengthException('Key of size ' . $length . ' not supported by this algorithm. Only keys of sizes 16, 24 or 32 supported');
+        }
+
+        parent::setKeyLength($length);
+    }
+
+    /**
+     * Sets the key.
+     *
+     * Rijndael supports five different key lengths
+     *
+     * @see setKeyLength()
+     * @access public
+     * @param string $key
+     * @throws \LengthException if the key length isn't supported
+     */
+    public function setKey($key)
+    {
+        switch (strlen($key)) {
+            case 16:
+            case 24:
+            case 32:
+                break;
+            default:
+                throw new \LengthException('Key of size ' . strlen($key) . ' not supported by this algorithm. Only keys of sizes 16, 24 or 32 supported');
+        }
+
+        parent::setKey($key);
+    }
+
+    /**
+     * Setup the key (expansion)
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::_setupKey()
+     * @access private
+     */
+    protected function setupKey()
+    {
+        if (isset($this->kl['key']) && $this->key === $this->kl['key']) {
+            // already expanded
+            return;
+        }
+        $this->kl = ['key' => $this->key];
+
+        /* Key expanding and generating the key-depended s-boxes */
+        $le_longs = unpack('V*', $this->key);
+        $key = unpack('C*', $this->key);
+        $m0 = self::$m0;
+        $m1 = self::$m1;
+        $m2 = self::$m2;
+        $m3 = self::$m3;
+        $q0 = self::$q0;
+        $q1 = self::$q1;
+
+        $K = $S0 = $S1 = $S2 = $S3 = [];
+
+        switch (strlen($this->key)) {
+            case 16:
+                list($s7, $s6, $s5, $s4) = $this->mdsrem($le_longs[1], $le_longs[2]);
+                list($s3, $s2, $s1, $s0) = $this->mdsrem($le_longs[3], $le_longs[4]);
+                for ($i = 0, $j = 1; $i < 40; $i+= 2, $j+= 2) {
+                    $A = $m0[$q0[$q0[$i] ^ $key[ 9]] ^ $key[1]] ^
+                         $m1[$q0[$q1[$i] ^ $key[10]] ^ $key[2]] ^
+                         $m2[$q1[$q0[$i] ^ $key[11]] ^ $key[3]] ^
+                         $m3[$q1[$q1[$i] ^ $key[12]] ^ $key[4]];
+                    $B = $m0[$q0[$q0[$j] ^ $key[13]] ^ $key[5]] ^
+                         $m1[$q0[$q1[$j] ^ $key[14]] ^ $key[6]] ^
+                         $m2[$q1[$q0[$j] ^ $key[15]] ^ $key[7]] ^
+                         $m3[$q1[$q1[$j] ^ $key[16]] ^ $key[8]];
+                    $B = ($B << 8) | ($B >> 24 & 0xff);
+                    $A = self::safe_intval($A + $B);
+                    $K[] = $A;
+                    $A = self::safe_intval($A + $B);
+                    $K[] = ($A << 9 | $A >> 23 & 0x1ff);
+                }
+                for ($i = 0; $i < 256; ++$i) {
+                    $S0[$i] = $m0[$q0[$q0[$i] ^ $s4] ^ $s0];
+                    $S1[$i] = $m1[$q0[$q1[$i] ^ $s5] ^ $s1];
+                    $S2[$i] = $m2[$q1[$q0[$i] ^ $s6] ^ $s2];
+                    $S3[$i] = $m3[$q1[$q1[$i] ^ $s7] ^ $s3];
+                }
+                break;
+            case 24:
+                list($sb, $sa, $s9, $s8) = $this->mdsrem($le_longs[1], $le_longs[2]);
+                list($s7, $s6, $s5, $s4) = $this->mdsrem($le_longs[3], $le_longs[4]);
+                list($s3, $s2, $s1, $s0) = $this->mdsrem($le_longs[5], $le_longs[6]);
+                for ($i = 0, $j = 1; $i < 40; $i+= 2, $j+= 2) {
+                    $A = $m0[$q0[$q0[$q1[$i] ^ $key[17]] ^ $key[ 9]] ^ $key[1]] ^
+                         $m1[$q0[$q1[$q1[$i] ^ $key[18]] ^ $key[10]] ^ $key[2]] ^
+                         $m2[$q1[$q0[$q0[$i] ^ $key[19]] ^ $key[11]] ^ $key[3]] ^
+                         $m3[$q1[$q1[$q0[$i] ^ $key[20]] ^ $key[12]] ^ $key[4]];
+                    $B = $m0[$q0[$q0[$q1[$j] ^ $key[21]] ^ $key[13]] ^ $key[5]] ^
+                         $m1[$q0[$q1[$q1[$j] ^ $key[22]] ^ $key[14]] ^ $key[6]] ^
+                         $m2[$q1[$q0[$q0[$j] ^ $key[23]] ^ $key[15]] ^ $key[7]] ^
+                         $m3[$q1[$q1[$q0[$j] ^ $key[24]] ^ $key[16]] ^ $key[8]];
+                    $B = ($B << 8) | ($B >> 24 & 0xff);
+                    $A = self::safe_intval($A + $B);
+                    $K[] = $A;
+                    $A = self::safe_intval($A + $B);
+                    $K[] = ($A << 9 | $A >> 23 & 0x1ff);
+                }
+                for ($i = 0; $i < 256; ++$i) {
+                    $S0[$i] = $m0[$q0[$q0[$q1[$i] ^ $s8] ^ $s4] ^ $s0];
+                    $S1[$i] = $m1[$q0[$q1[$q1[$i] ^ $s9] ^ $s5] ^ $s1];
+                    $S2[$i] = $m2[$q1[$q0[$q0[$i] ^ $sa] ^ $s6] ^ $s2];
+                    $S3[$i] = $m3[$q1[$q1[$q0[$i] ^ $sb] ^ $s7] ^ $s3];
+                }
+                break;
+            default: // 32
+                list($sf, $se, $sd, $sc) = $this->mdsrem($le_longs[1], $le_longs[2]);
+                list($sb, $sa, $s9, $s8) = $this->mdsrem($le_longs[3], $le_longs[4]);
+                list($s7, $s6, $s5, $s4) = $this->mdsrem($le_longs[5], $le_longs[6]);
+                list($s3, $s2, $s1, $s0) = $this->mdsrem($le_longs[7], $le_longs[8]);
+                for ($i = 0, $j = 1; $i < 40; $i+= 2, $j+= 2) {
+                    $A = $m0[$q0[$q0[$q1[$q1[$i] ^ $key[25]] ^ $key[17]] ^ $key[ 9]] ^ $key[1]] ^
+                         $m1[$q0[$q1[$q1[$q0[$i] ^ $key[26]] ^ $key[18]] ^ $key[10]] ^ $key[2]] ^
+                         $m2[$q1[$q0[$q0[$q0[$i] ^ $key[27]] ^ $key[19]] ^ $key[11]] ^ $key[3]] ^
+                         $m3[$q1[$q1[$q0[$q1[$i] ^ $key[28]] ^ $key[20]] ^ $key[12]] ^ $key[4]];
+                    $B = $m0[$q0[$q0[$q1[$q1[$j] ^ $key[29]] ^ $key[21]] ^ $key[13]] ^ $key[5]] ^
+                         $m1[$q0[$q1[$q1[$q0[$j] ^ $key[30]] ^ $key[22]] ^ $key[14]] ^ $key[6]] ^
+                         $m2[$q1[$q0[$q0[$q0[$j] ^ $key[31]] ^ $key[23]] ^ $key[15]] ^ $key[7]] ^
+                         $m3[$q1[$q1[$q0[$q1[$j] ^ $key[32]] ^ $key[24]] ^ $key[16]] ^ $key[8]];
+                    $B = ($B << 8) | ($B >> 24 & 0xff);
+                    $A = self::safe_intval($A + $B);
+                    $K[] = $A;
+                    $A = self::safe_intval($A + $B);
+                    $K[] = ($A << 9 | $A >> 23 & 0x1ff);
+                }
+                for ($i = 0; $i < 256; ++$i) {
+                    $S0[$i] = $m0[$q0[$q0[$q1[$q1[$i] ^ $sc] ^ $s8] ^ $s4] ^ $s0];
+                    $S1[$i] = $m1[$q0[$q1[$q1[$q0[$i] ^ $sd] ^ $s9] ^ $s5] ^ $s1];
+                    $S2[$i] = $m2[$q1[$q0[$q0[$q0[$i] ^ $se] ^ $sa] ^ $s6] ^ $s2];
+                    $S3[$i] = $m3[$q1[$q1[$q0[$q1[$i] ^ $sf] ^ $sb] ^ $s7] ^ $s3];
+                }
+        }
+
+        $this->K  = $K;
+        $this->S0 = $S0;
+        $this->S1 = $S1;
+        $this->S2 = $S2;
+        $this->S3 = $S3;
+    }
+
+    /**
+     * _mdsrem function using by the twofish cipher algorithm
+     *
+     * @access private
+     * @param string $A
+     * @param string $B
+     * @return array
+     */
+    private function mdsrem($A, $B)
+    {
+        // No gain by unrolling this loop.
+        for ($i = 0; $i < 8; ++$i) {
+            // Get most significant coefficient.
+            $t = 0xff & ($B >> 24);
+
+            // Shift the others up.
+            $B = ($B << 8) | (0xff & ($A >> 24));
+            $A<<= 8;
+
+            $u = $t << 1;
+
+            // Subtract the modular polynomial on overflow.
+            if ($t & 0x80) {
+                $u^= 0x14d;
+            }
+
+            // Remove t * (a * x^2 + 1).
+            $B ^= $t ^ ($u << 16);
+
+            // Form u = a*t + t/a = t*(a + 1/a).
+            $u^= 0x7fffffff & ($t >> 1);
+
+            // Add the modular polynomial on underflow.
+            if ($t & 0x01) {
+                $u^= 0xa6 ;
+            }
+
+            // Remove t * (a + 1/a) * (x^3 + x).
+            $B^= ($u << 24) | ($u << 8);
+        }
+
+        return [
+            0xff & $B >> 24,
+            0xff & $B >> 16,
+            0xff & $B >>  8,
+            0xff & $B];
+    }
+
+    /**
+     * Encrypts a block
+     *
+     * @access private
+     * @param string $in
+     * @return string
+     */
+    protected function encryptBlock($in)
+    {
+        $S0 = $this->S0;
+        $S1 = $this->S1;
+        $S2 = $this->S2;
+        $S3 = $this->S3;
+        $K  = $this->K;
+
+        $in = unpack("V4", $in);
+        $R0 = $K[0] ^ $in[1];
+        $R1 = $K[1] ^ $in[2];
+        $R2 = $K[2] ^ $in[3];
+        $R3 = $K[3] ^ $in[4];
+
+        $ki = 7;
+        while ($ki < 39) {
+            $t0 = $S0[ $R0        & 0xff] ^
+                  $S1[($R0 >>  8) & 0xff] ^
+                  $S2[($R0 >> 16) & 0xff] ^
+                  $S3[($R0 >> 24) & 0xff];
+            $t1 = $S0[($R1 >> 24) & 0xff] ^
+                  $S1[ $R1        & 0xff] ^
+                  $S2[($R1 >>  8) & 0xff] ^
+                  $S3[($R1 >> 16) & 0xff];
+            $R2^= self::safe_intval($t0 + $t1 + $K[++$ki]);
+            $R2 = ($R2 >> 1 & 0x7fffffff) | ($R2 << 31);
+            $R3 = ((($R3 >> 31) & 1) | ($R3 << 1)) ^ self::safe_intval($t0 + ($t1 << 1) + $K[++$ki]);
+
+            $t0 = $S0[ $R2        & 0xff] ^
+                  $S1[($R2 >>  8) & 0xff] ^
+                  $S2[($R2 >> 16) & 0xff] ^
+                  $S3[($R2 >> 24) & 0xff];
+            $t1 = $S0[($R3 >> 24) & 0xff] ^
+                  $S1[ $R3        & 0xff] ^
+                  $S2[($R3 >>  8) & 0xff] ^
+                  $S3[($R3 >> 16) & 0xff];
+            $R0^= self::safe_intval($t0 + $t1 + $K[++$ki]);
+            $R0 = ($R0 >> 1 & 0x7fffffff) | ($R0 << 31);
+            $R1 = ((($R1 >> 31) & 1) | ($R1 << 1)) ^ self::safe_intval($t0 + ($t1 << 1) + $K[++$ki]);
+        }
+
+        // @codingStandardsIgnoreStart
+        return pack("V4", $K[4] ^ $R2,
+                          $K[5] ^ $R3,
+                          $K[6] ^ $R0,
+                          $K[7] ^ $R1);
+        // @codingStandardsIgnoreEnd
+    }
+
+    /**
+     * Decrypts a block
+     *
+     * @access private
+     * @param string $in
+     * @return string
+     */
+    protected function decryptBlock($in)
+    {
+        $S0 = $this->S0;
+        $S1 = $this->S1;
+        $S2 = $this->S2;
+        $S3 = $this->S3;
+        $K  = $this->K;
+
+        $in = unpack("V4", $in);
+        $R0 = $K[4] ^ $in[1];
+        $R1 = $K[5] ^ $in[2];
+        $R2 = $K[6] ^ $in[3];
+        $R3 = $K[7] ^ $in[4];
+
+        $ki = 40;
+        while ($ki > 8) {
+            $t0 = $S0[$R0       & 0xff] ^
+                  $S1[$R0 >>  8 & 0xff] ^
+                  $S2[$R0 >> 16 & 0xff] ^
+                  $S3[$R0 >> 24 & 0xff];
+            $t1 = $S0[$R1 >> 24 & 0xff] ^
+                  $S1[$R1       & 0xff] ^
+                  $S2[$R1 >>  8 & 0xff] ^
+                  $S3[$R1 >> 16 & 0xff];
+            $R3^= self::safe_intval($t0 + ($t1 << 1) + $K[--$ki]);
+            $R3 = $R3 >> 1 & 0x7fffffff | $R3 << 31;
+            $R2 = ($R2 >> 31 & 0x1 | $R2 << 1) ^ self::safe_intval($t0 + $t1 + $K[--$ki]);
+
+            $t0 = $S0[$R2       & 0xff] ^
+                  $S1[$R2 >>  8 & 0xff] ^
+                  $S2[$R2 >> 16 & 0xff] ^
+                  $S3[$R2 >> 24 & 0xff];
+            $t1 = $S0[$R3 >> 24 & 0xff] ^
+                  $S1[$R3       & 0xff] ^
+                  $S2[$R3 >>  8 & 0xff] ^
+                  $S3[$R3 >> 16 & 0xff];
+            $R1^= self::safe_intval($t0 + ($t1 << 1) + $K[--$ki]);
+            $R1 = $R1 >> 1 & 0x7fffffff | $R1 << 31;
+            $R0 = ($R0 >> 31 & 0x1 | $R0 << 1) ^ self::safe_intval($t0 + $t1 + $K[--$ki]);
+        }
+
+        // @codingStandardsIgnoreStart
+        return pack("V4", $K[0] ^ $R2,
+                          $K[1] ^ $R3,
+                          $K[2] ^ $R0,
+                          $K[3] ^ $R1);
+        // @codingStandardsIgnoreEnd
+    }
+
+    /**
+     * Setup the performance-optimized function for de/encrypt()
+     *
+     * @see \phpseclib3\Crypt\Common\SymmetricKey::_setupInlineCrypt()
+     * @access private
+     */
+    protected function setupInlineCrypt()
+    {
+        $K = $this->K;
+        $init_crypt = '
+            static $S0, $S1, $S2, $S3;
+            if (!$S0) {
+                for ($i = 0; $i < 256; ++$i) {
+                    $S0[] = (int)$this->S0[$i];
+                    $S1[] = (int)$this->S1[$i];
+                    $S2[] = (int)$this->S2[$i];
+                    $S3[] = (int)$this->S3[$i];
+                }
+            }
+        ';
+
+        $safeint = self::safe_intval_inline();
+
+        // Generating encrypt code:
+        $encrypt_block = '
+            $in = unpack("V4", $in);
+            $R0 = '.$K[0].' ^ $in[1];
+            $R1 = '.$K[1].' ^ $in[2];
+            $R2 = '.$K[2].' ^ $in[3];
+            $R3 = '.$K[3].' ^ $in[4];
+        ';
+        for ($ki = 7, $i = 0; $i < 8; ++$i) {
+            $encrypt_block.= '
+                $t0 = $S0[ $R0        & 0xff] ^
+                      $S1[($R0 >>  8) & 0xff] ^
+                      $S2[($R0 >> 16) & 0xff] ^
+                      $S3[($R0 >> 24) & 0xff];
+                $t1 = $S0[($R1 >> 24) & 0xff] ^
+                      $S1[ $R1        & 0xff] ^
+                      $S2[($R1 >>  8) & 0xff] ^
+                      $S3[($R1 >> 16) & 0xff];
+                    $R2^= ' . sprintf($safeint, '$t0 + $t1 + ' . $K[++$ki]) . ';
+                $R2 = ($R2 >> 1 & 0x7fffffff) | ($R2 << 31);
+                $R3 = ((($R3 >> 31) & 1) | ($R3 << 1)) ^ ' . sprintf($safeint, '($t0 + ($t1 << 1) + ' . $K[++$ki] . ')') . ';
+
+                $t0 = $S0[ $R2        & 0xff] ^
+                      $S1[($R2 >>  8) & 0xff] ^
+                      $S2[($R2 >> 16) & 0xff] ^
+                      $S3[($R2 >> 24) & 0xff];
+                $t1 = $S0[($R3 >> 24) & 0xff] ^
+                      $S1[ $R3        & 0xff] ^
+                      $S2[($R3 >>  8) & 0xff] ^
+                      $S3[($R3 >> 16) & 0xff];
+                $R0^= ' . sprintf($safeint, '($t0 + $t1 + ' . $K[++$ki] . ')') . ';
+                $R0 = ($R0 >> 1 & 0x7fffffff) | ($R0 << 31);
+                $R1 = ((($R1 >> 31) & 1) | ($R1 << 1)) ^ ' . sprintf($safeint, '($t0 + ($t1 << 1) + ' . $K[++$ki] . ')') . ';
+            ';
+        }
+        $encrypt_block.= '
+            $in = pack("V4", '.$K[4].' ^ $R2,
+                             '.$K[5].' ^ $R3,
+                             '.$K[6].' ^ $R0,
+                             '.$K[7].' ^ $R1);
+        ';
+
+        // Generating decrypt code:
+        $decrypt_block = '
+            $in = unpack("V4", $in);
+            $R0 = '.$K[4].' ^ $in[1];
+            $R1 = '.$K[5].' ^ $in[2];
+            $R2 = '.$K[6].' ^ $in[3];
+            $R3 = '.$K[7].' ^ $in[4];
+        ';
+        for ($ki = 40, $i = 0; $i < 8; ++$i) {
+            $decrypt_block.= '
+                $t0 = $S0[$R0       & 0xff] ^
+                      $S1[$R0 >>  8 & 0xff] ^
+                      $S2[$R0 >> 16 & 0xff] ^
+                      $S3[$R0 >> 24 & 0xff];
+                $t1 = $S0[$R1 >> 24 & 0xff] ^
+                      $S1[$R1       & 0xff] ^
+                      $S2[$R1 >>  8 & 0xff] ^
+                      $S3[$R1 >> 16 & 0xff];
+                $R3^= ' . sprintf($safeint, '$t0 + ($t1 << 1) + ' . $K[--$ki]) . ';
+                $R3 = $R3 >> 1 & 0x7fffffff | $R3 << 31;
+                $R2 = ($R2 >> 31 & 0x1 | $R2 << 1) ^ ' . sprintf($safeint, '($t0 + $t1 + '.$K[--$ki] . ')') . ';
+
+                $t0 = $S0[$R2       & 0xff] ^
+                      $S1[$R2 >>  8 & 0xff] ^
+                      $S2[$R2 >> 16 & 0xff] ^
+                      $S3[$R2 >> 24 & 0xff];
+                $t1 = $S0[$R3 >> 24 & 0xff] ^
+                      $S1[$R3       & 0xff] ^
+                      $S2[$R3 >>  8 & 0xff] ^
+                      $S3[$R3 >> 16 & 0xff];
+                $R1^= ' . sprintf($safeint, '$t0 + ($t1 << 1) + ' . $K[--$ki]) . ';
+                $R1 = $R1 >> 1 & 0x7fffffff | $R1 << 31;
+                $R0 = ($R0 >> 31 & 0x1 | $R0 << 1) ^ ' . sprintf($safeint, '($t0 + $t1 + '.$K[--$ki] . ')') . ';
+            ';
+        }
+        $decrypt_block.= '
+            $in = pack("V4", '.$K[0].' ^ $R2,
+                             '.$K[1].' ^ $R3,
+                             '.$K[2].' ^ $R0,
+                             '.$K[3].' ^ $R1);
+        ';
+
+        $this->inline_crypt = $this->createInlineCryptFunction(
+            [
+               'init_crypt'    => $init_crypt,
+               'init_encrypt'  => '',
+               'init_decrypt'  => '',
+               'encrypt_block' => $encrypt_block,
+               'decrypt_block' => $decrypt_block
+            ]
+        );
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Exception/BadConfigurationException.php b/vendor/phpseclib/phpseclib/phpseclib/Exception/BadConfigurationException.php
new file mode 100644
index 000000000..fa5a818ac
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Exception/BadConfigurationException.php
@@ -0,0 +1,26 @@
+<?php
+
+/**
+ * BadConfigurationException
+ *
+ * PHP version 5
+ *
+ * @category  Exception
+ * @package   BadConfigurationException
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Exception;
+
+/**
+ * BadConfigurationException
+ *
+ * @package BadConfigurationException
+ * @author  Jim Wigginton <terrafrost@php.net>
+ */
+class BadConfigurationException extends \RuntimeException
+{
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Exception/BadDecryptionException.php b/vendor/phpseclib/phpseclib/phpseclib/Exception/BadDecryptionException.php
new file mode 100644
index 000000000..c1171b159
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Exception/BadDecryptionException.php
@@ -0,0 +1,26 @@
+<?php
+
+/**
+ * BadDecryptionException
+ *
+ * PHP version 5
+ *
+ * @category  Exception
+ * @package   BadDecryptionException
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Exception;
+
+/**
+ * BadDecryptionException
+ *
+ * @package BadDecryptionException
+ * @author  Jim Wigginton <terrafrost@php.net>
+ */
+class BadDecryptionException extends \RuntimeException
+{
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Exception/BadModeException.php b/vendor/phpseclib/phpseclib/phpseclib/Exception/BadModeException.php
new file mode 100644
index 000000000..ace9f578d
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Exception/BadModeException.php
@@ -0,0 +1,26 @@
+<?php
+
+/**
+ * BadModeException
+ *
+ * PHP version 5
+ *
+ * @category  Exception
+ * @package   BadModeException
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Exception;
+
+/**
+ * BadModeException
+ *
+ * @package BadModeException
+ * @author  Jim Wigginton <terrafrost@php.net>
+ */
+class BadModeException extends \RuntimeException
+{
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Exception/ConnectionClosedException.php b/vendor/phpseclib/phpseclib/phpseclib/Exception/ConnectionClosedException.php
new file mode 100644
index 000000000..d6300d5c6
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Exception/ConnectionClosedException.php
@@ -0,0 +1,26 @@
+<?php
+
+/**
+ * ConnectionClosedException
+ *
+ * PHP version 5
+ *
+ * @category  Exception
+ * @package   ConnectionClosedException
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Exception;
+
+/**
+ * ConnectionClosedException
+ *
+ * @package ConnectionClosedException
+ * @author  Jim Wigginton <terrafrost@php.net>
+ */
+class ConnectionClosedException extends \RuntimeException
+{
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Exception/FileNotFoundException.php b/vendor/phpseclib/phpseclib/phpseclib/Exception/FileNotFoundException.php
new file mode 100644
index 000000000..bc1b91898
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Exception/FileNotFoundException.php
@@ -0,0 +1,26 @@
+<?php
+
+/**
+ * FileNotFoundException
+ *
+ * PHP version 5
+ *
+ * @category  Exception
+ * @package   FileNotFoundException
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Exception;
+
+/**
+ * FileNotFoundException
+ *
+ * @package FileNotFoundException
+ * @author  Jim Wigginton <terrafrost@php.net>
+ */
+class FileNotFoundException extends \RuntimeException
+{
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Exception/InconsistentSetupException.php b/vendor/phpseclib/phpseclib/phpseclib/Exception/InconsistentSetupException.php
new file mode 100644
index 000000000..77db4a0e2
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Exception/InconsistentSetupException.php
@@ -0,0 +1,26 @@
+<?php
+
+/**
+ * InconsistentSetupException
+ *
+ * PHP version 5
+ *
+ * @category  Exception
+ * @package   InconsistentSetupException
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Exception;
+
+/**
+ * InconsistentSetupException
+ *
+ * @package InconsistentSetupException
+ * @author  Jim Wigginton <terrafrost@php.net>
+ */
+class InconsistentSetupException extends \RuntimeException
+{
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Exception/InsufficientSetupException.php b/vendor/phpseclib/phpseclib/phpseclib/Exception/InsufficientSetupException.php
new file mode 100644
index 000000000..27f49f2f8
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Exception/InsufficientSetupException.php
@@ -0,0 +1,26 @@
+<?php
+
+/**
+ * InsufficientSetupException
+ *
+ * PHP version 5
+ *
+ * @category  Exception
+ * @package   InsufficientSetupException
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Exception;
+
+/**
+ * InsufficientSetupException
+ *
+ * @package InsufficientSetupException
+ * @author  Jim Wigginton <terrafrost@php.net>
+ */
+class InsufficientSetupException extends \RuntimeException
+{
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Exception/NoKeyLoadedException.php b/vendor/phpseclib/phpseclib/phpseclib/Exception/NoKeyLoadedException.php
new file mode 100644
index 000000000..95152eb46
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Exception/NoKeyLoadedException.php
@@ -0,0 +1,26 @@
+<?php
+
+/**
+ * NoKeyLoadedException
+ *
+ * PHP version 5
+ *
+ * @category  Exception
+ * @package   NoKeyLoadedException
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Exception;
+
+/**
+ * NoKeyLoadedException
+ *
+ * @package NoKeyLoadedException
+ * @author  Jim Wigginton <terrafrost@php.net>
+ */
+class NoKeyLoadedException extends \RuntimeException
+{
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Exception/NoSupportedAlgorithmsException.php b/vendor/phpseclib/phpseclib/phpseclib/Exception/NoSupportedAlgorithmsException.php
new file mode 100644
index 000000000..7a7471dca
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Exception/NoSupportedAlgorithmsException.php
@@ -0,0 +1,26 @@
+<?php
+
+/**
+ * NoSupportedAlgorithmsException
+ *
+ * PHP version 5
+ *
+ * @category  Exception
+ * @package   NoSupportedAlgorithmsException
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Exception;
+
+/**
+ * NoSupportedAlgorithmsException
+ *
+ * @package NoSupportedAlgorithmsException
+ * @author  Jim Wigginton <terrafrost@php.net>
+ */
+class NoSupportedAlgorithmsException extends \RuntimeException
+{
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Exception/UnableToConnectException.php b/vendor/phpseclib/phpseclib/phpseclib/Exception/UnableToConnectException.php
new file mode 100644
index 000000000..909ef67fa
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Exception/UnableToConnectException.php
@@ -0,0 +1,26 @@
+<?php
+
+/**
+ * UnableToConnectException
+ *
+ * PHP version 5
+ *
+ * @category  Exception
+ * @package   UnableToConnectException
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Exception;
+
+/**
+ * UnableToConnectException
+ *
+ * @package UnableToConnectException
+ * @author  Jim Wigginton <terrafrost@php.net>
+ */
+class UnableToConnectException extends \RuntimeException
+{
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Exception/UnsupportedAlgorithmException.php b/vendor/phpseclib/phpseclib/phpseclib/Exception/UnsupportedAlgorithmException.php
new file mode 100644
index 000000000..e0c07a436
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Exception/UnsupportedAlgorithmException.php
@@ -0,0 +1,26 @@
+<?php
+
+/**
+ * UnsupportedAlgorithmException
+ *
+ * PHP version 5
+ *
+ * @category  Exception
+ * @package   UnsupportedAlgorithmException
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Exception;
+
+/**
+ * UnsupportedAlgorithmException
+ *
+ * @package UnsupportedAlgorithmException
+ * @author  Jim Wigginton <terrafrost@php.net>
+ */
+class UnsupportedAlgorithmException extends \RuntimeException
+{
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Exception/UnsupportedCurveException.php b/vendor/phpseclib/phpseclib/phpseclib/Exception/UnsupportedCurveException.php
new file mode 100644
index 000000000..6d746ab1b
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Exception/UnsupportedCurveException.php
@@ -0,0 +1,26 @@
+<?php
+
+/**
+ * UnsupportedCurveException
+ *
+ * PHP version 5
+ *
+ * @category  Exception
+ * @package   UnsupportedCurveException
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Exception;
+
+/**
+ * UnsupportedCurveException
+ *
+ * @package UnsupportedCurveException
+ * @author  Jim Wigginton <terrafrost@php.net>
+ */
+class UnsupportedCurveException extends \RuntimeException
+{
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Exception/UnsupportedFormatException.php b/vendor/phpseclib/phpseclib/phpseclib/Exception/UnsupportedFormatException.php
new file mode 100644
index 000000000..f58f812d3
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Exception/UnsupportedFormatException.php
@@ -0,0 +1,26 @@
+<?php
+
+/**
+ * UnsupportedFormatException
+ *
+ * PHP version 5
+ *
+ * @category  Exception
+ * @package   UnsupportedFormatException
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Exception;
+
+/**
+ * UnsupportedFormatException
+ *
+ * @package UnsupportedFormatException
+ * @author  Jim Wigginton <terrafrost@php.net>
+ */
+class UnsupportedFormatException extends \RuntimeException
+{
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Exception/UnsupportedOperationException.php b/vendor/phpseclib/phpseclib/phpseclib/Exception/UnsupportedOperationException.php
new file mode 100644
index 000000000..7872a1a82
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Exception/UnsupportedOperationException.php
@@ -0,0 +1,26 @@
+<?php
+
+/**
+ * UnsupportedOperationException
+ *
+ * PHP version 5
+ *
+ * @category  Exception
+ * @package   UnsupportedOperationException
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Exception;
+
+/**
+ * UnsupportedOperationException
+ *
+ * @package UnsupportedOperationException
+ * @author  Jim Wigginton <terrafrost@php.net>
+ */
+class UnsupportedOperationException extends \RuntimeException
+{
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ANSI.php b/vendor/phpseclib/phpseclib/phpseclib/File/ANSI.php
new file mode 100644
index 000000000..f0dc19618
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ANSI.php
@@ -0,0 +1,580 @@
+<?php
+
+/**
+ * Pure-PHP ANSI Decoder
+ *
+ * PHP version 5
+ *
+ * If you call read() in \phpseclib3\Net\SSH2 you may get {@link http://en.wikipedia.org/wiki/ANSI_escape_code ANSI escape codes} back.
+ * They'd look like chr(0x1B) . '[00m' or whatever (0x1B = ESC).  They tell a
+ * {@link http://en.wikipedia.org/wiki/Terminal_emulator terminal emulator} how to format the characters, what
+ * color to display them in, etc. \phpseclib3\File\ANSI is a {@link http://en.wikipedia.org/wiki/VT100 VT100} terminal emulator.
+ *
+ * @category  File
+ * @package   ANSI
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2012 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File;
+
+/**
+ * Pure-PHP ANSI Decoder
+ *
+ * @package ANSI
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class ANSI
+{
+    /**
+     * Max Width
+     *
+     * @var int
+     * @access private
+     */
+    private $max_x;
+
+    /**
+     * Max Height
+     *
+     * @var int
+     * @access private
+     */
+    private $max_y;
+
+    /**
+     * Max History
+     *
+     * @var int
+     * @access private
+     */
+    private $max_history;
+
+    /**
+     * History
+     *
+     * @var array
+     * @access private
+     */
+    private $history;
+
+    /**
+     * History Attributes
+     *
+     * @var array
+     * @access private
+     */
+    private $history_attrs;
+
+    /**
+     * Current Column
+     *
+     * @var int
+     * @access private
+     */
+    private $x;
+
+    /**
+     * Current Row
+     *
+     * @var int
+     * @access private
+     */
+    private $y;
+
+    /**
+     * Old Column
+     *
+     * @var int
+     * @access private
+     */
+    private $old_x;
+
+    /**
+     * Old Row
+     *
+     * @var int
+     * @access private
+     */
+    private $old_y;
+
+    /**
+     * An empty attribute cell
+     *
+     * @var object
+     * @access private
+     */
+    private $base_attr_cell;
+
+    /**
+     * The current attribute cell
+     *
+     * @var object
+     * @access private
+     */
+    private $attr_cell;
+
+    /**
+     * An empty attribute row
+     *
+     * @var array
+     * @access private
+     */
+    private $attr_row;
+
+    /**
+     * The current screen text
+     *
+     * @var array
+     * @access private
+     */
+    private $screen;
+
+    /**
+     * The current screen attributes
+     *
+     * @var array
+     * @access private
+     */
+    private $attrs;
+
+    /**
+     * Current ANSI code
+     *
+     * @var string
+     * @access private
+     */
+    private $ansi;
+
+    /**
+     * Tokenization
+     *
+     * @var array
+     * @access private
+     */
+    private $tokenization;
+
+    /**
+     * Default Constructor.
+     *
+     * @return \phpseclib3\File\ANSI
+     * @access public
+     */
+    public function __construct()
+    {
+        $attr_cell = new \stdClass();
+        $attr_cell->bold = false;
+        $attr_cell->underline = false;
+        $attr_cell->blink = false;
+        $attr_cell->background = 'black';
+        $attr_cell->foreground = 'white';
+        $attr_cell->reverse = false;
+        $this->base_attr_cell = clone $attr_cell;
+        $this->attr_cell = clone $attr_cell;
+
+        $this->setHistory(200);
+        $this->setDimensions(80, 24);
+    }
+
+    /**
+     * Set terminal width and height
+     *
+     * Resets the screen as well
+     *
+     * @param int $x
+     * @param int $y
+     * @access public
+     */
+    public function setDimensions($x, $y)
+    {
+        $this->max_x = $x - 1;
+        $this->max_y = $y - 1;
+        $this->x = $this->y = 0;
+        $this->history = $this->history_attrs = [];
+        $this->attr_row = array_fill(0, $this->max_x + 2, $this->base_attr_cell);
+        $this->screen = array_fill(0, $this->max_y + 1, '');
+        $this->attrs = array_fill(0, $this->max_y + 1, $this->attr_row);
+        $this->ansi = '';
+    }
+
+    /**
+     * Set the number of lines that should be logged past the terminal height
+     *
+     * @param int $history
+     * @access public
+     */
+    public function setHistory($history)
+    {
+        $this->max_history = $history;
+    }
+
+    /**
+     * Load a string
+     *
+     * @param string $source
+     * @access public
+     */
+    public function loadString($source)
+    {
+        $this->setDimensions($this->max_x + 1, $this->max_y + 1);
+        $this->appendString($source);
+    }
+
+    /**
+     * Appdend a string
+     *
+     * @param string $source
+     * @access public
+     */
+    public function appendString($source)
+    {
+        $this->tokenization = [''];
+        for ($i = 0; $i < strlen($source); $i++) {
+            if (strlen($this->ansi)) {
+                $this->ansi.= $source[$i];
+                $chr = ord($source[$i]);
+                // http://en.wikipedia.org/wiki/ANSI_escape_code#Sequence_elements
+                // single character CSI's not currently supported
+                switch (true) {
+                    case $this->ansi == "\x1B=":
+                        $this->ansi = '';
+                        continue 2;
+                    case strlen($this->ansi) == 2 && $chr >= 64 && $chr <= 95 && $chr != ord('['):
+                    case strlen($this->ansi) > 2 && $chr >= 64 && $chr <= 126:
+                        break;
+                    default:
+                        continue 2;
+                }
+                $this->tokenization[] = $this->ansi;
+                $this->tokenization[] = '';
+                // http://ascii-table.com/ansi-escape-sequences-vt-100.php
+                switch ($this->ansi) {
+                    case "\x1B[H": // Move cursor to upper left corner
+                        $this->old_x = $this->x;
+                        $this->old_y = $this->y;
+                        $this->x = $this->y = 0;
+                        break;
+                    case "\x1B[J": // Clear screen from cursor down
+                        $this->history = array_merge($this->history, array_slice(array_splice($this->screen, $this->y + 1), 0, $this->old_y));
+                        $this->screen = array_merge($this->screen, array_fill($this->y, $this->max_y, ''));
+
+                        $this->history_attrs = array_merge($this->history_attrs, array_slice(array_splice($this->attrs, $this->y + 1), 0, $this->old_y));
+                        $this->attrs = array_merge($this->attrs, array_fill($this->y, $this->max_y, $this->attr_row));
+
+                        if (count($this->history) == $this->max_history) {
+                            array_shift($this->history);
+                            array_shift($this->history_attrs);
+                        }
+                    case "\x1B[K": // Clear screen from cursor right
+                        $this->screen[$this->y] = substr($this->screen[$this->y], 0, $this->x);
+
+                        array_splice($this->attrs[$this->y], $this->x + 1, $this->max_x - $this->x, array_fill($this->x, $this->max_x - ($this->x - 1), $this->base_attr_cell));
+                        break;
+                    case "\x1B[2K": // Clear entire line
+                        $this->screen[$this->y] = str_repeat(' ', $this->x);
+                        $this->attrs[$this->y] = $this->attr_row;
+                        break;
+                    case "\x1B[?1h": // set cursor key to application
+                    case "\x1B[?25h": // show the cursor
+                    case "\x1B(B": // set united states g0 character set
+                        break;
+                    case "\x1BE": // Move to next line
+                        $this->newLine();
+                        $this->x = 0;
+                        break;
+                    default:
+                        switch (true) {
+                            case preg_match('#\x1B\[(\d+)B#', $this->ansi, $match): // Move cursor down n lines
+                                $this->old_y = $this->y;
+                                $this->y+= $match[1];
+                                break;
+                            case preg_match('#\x1B\[(\d+);(\d+)H#', $this->ansi, $match): // Move cursor to screen location v,h
+                                $this->old_x = $this->x;
+                                $this->old_y = $this->y;
+                                $this->x = $match[2] - 1;
+                                $this->y = $match[1] - 1;
+                                break;
+                            case preg_match('#\x1B\[(\d+)C#', $this->ansi, $match): // Move cursor right n lines
+                                $this->old_x = $this->x;
+                                $this->x+= $match[1];
+                                break;
+                            case preg_match('#\x1B\[(\d+)D#', $this->ansi, $match): // Move cursor left n lines
+                                $this->old_x = $this->x;
+                                $this->x-= $match[1];
+                                if ($this->x < 0) {
+                                    $this->x = 0;
+                                }
+                                break;
+                            case preg_match('#\x1B\[(\d+);(\d+)r#', $this->ansi, $match): // Set top and bottom lines of a window
+                                break;
+                            case preg_match('#\x1B\[(\d*(?:;\d*)*)m#', $this->ansi, $match): // character attributes
+                                $attr_cell = &$this->attr_cell;
+                                $mods = explode(';', $match[1]);
+                                foreach ($mods as $mod) {
+                                    switch ($mod) {
+                                        case '':
+                                        case '0': // Turn off character attributes
+                                            $attr_cell = clone $this->base_attr_cell;
+                                            break;
+                                        case '1': // Turn bold mode on
+                                            $attr_cell->bold = true;
+                                            break;
+                                        case '4': // Turn underline mode on
+                                            $attr_cell->underline = true;
+                                            break;
+                                        case '5': // Turn blinking mode on
+                                            $attr_cell->blink = true;
+                                            break;
+                                        case '7': // Turn reverse video on
+                                            $attr_cell->reverse = !$attr_cell->reverse;
+                                            $temp = $attr_cell->background;
+                                            $attr_cell->background = $attr_cell->foreground;
+                                            $attr_cell->foreground = $temp;
+                                            break;
+                                        default: // set colors
+                                            //$front = $attr_cell->reverse ? &$attr_cell->background : &$attr_cell->foreground;
+                                            $front = &$attr_cell->{ $attr_cell->reverse ? 'background' : 'foreground' };
+                                            //$back = $attr_cell->reverse ? &$attr_cell->foreground : &$attr_cell->background;
+                                            $back = &$attr_cell->{ $attr_cell->reverse ? 'foreground' : 'background' };
+                                            switch ($mod) {
+                                                // @codingStandardsIgnoreStart
+                                                case '30': $front = 'black'; break;
+                                                case '31': $front = 'red'; break;
+                                                case '32': $front = 'green'; break;
+                                                case '33': $front = 'yellow'; break;
+                                                case '34': $front = 'blue'; break;
+                                                case '35': $front = 'magenta'; break;
+                                                case '36': $front = 'cyan'; break;
+                                                case '37': $front = 'white'; break;
+
+                                                case '40': $back = 'black'; break;
+                                                case '41': $back = 'red'; break;
+                                                case '42': $back = 'green'; break;
+                                                case '43': $back = 'yellow'; break;
+                                                case '44': $back = 'blue'; break;
+                                                case '45': $back = 'magenta'; break;
+                                                case '46': $back = 'cyan'; break;
+                                                case '47': $back = 'white'; break;
+                                                // @codingStandardsIgnoreEnd
+
+                                                default:
+                                                    //user_error('Unsupported attribute: ' . $mod);
+                                                    $this->ansi = '';
+                                                    break 2;
+                                            }
+                                    }
+                                }
+                                break;
+                            default:
+                                //user_error("{$this->ansi} is unsupported\r\n");
+                        }
+                }
+                $this->ansi = '';
+                continue;
+            }
+
+            $this->tokenization[count($this->tokenization) - 1].= $source[$i];
+            switch ($source[$i]) {
+                case "\r":
+                    $this->x = 0;
+                    break;
+                case "\n":
+                    $this->newLine();
+                    break;
+                case "\x08": // backspace
+                    if ($this->x) {
+                        $this->x--;
+                        $this->attrs[$this->y][$this->x] = clone $this->base_attr_cell;
+                        $this->screen[$this->y] = substr_replace(
+                            $this->screen[$this->y],
+                            $source[$i],
+                            $this->x,
+                            1
+                        );
+                    }
+                    break;
+                case "\x0F": // shift
+                    break;
+                case "\x1B": // start ANSI escape code
+                    $this->tokenization[count($this->tokenization) - 1] = substr($this->tokenization[count($this->tokenization) - 1], 0, -1);
+                    //if (!strlen($this->tokenization[count($this->tokenization) - 1])) {
+                    //    array_pop($this->tokenization);
+                    //}
+                    $this->ansi.= "\x1B";
+                    break;
+                default:
+                    $this->attrs[$this->y][$this->x] = clone $this->attr_cell;
+                    if ($this->x > strlen($this->screen[$this->y])) {
+                        $this->screen[$this->y] = str_repeat(' ', $this->x);
+                    }
+                    $this->screen[$this->y] = substr_replace(
+                        $this->screen[$this->y],
+                        $source[$i],
+                        $this->x,
+                        1
+                    );
+
+                    if ($this->x > $this->max_x) {
+                        $this->x = 0;
+                        $this->newLine();
+                    } else {
+                        $this->x++;
+                    }
+            }
+        }
+    }
+
+    /**
+     * Add a new line
+     *
+     * Also update the $this->screen and $this->history buffers
+     *
+     * @access private
+     */
+    private function newLine()
+    {
+        //if ($this->y < $this->max_y) {
+        //    $this->y++;
+        //}
+
+        while ($this->y >= $this->max_y) {
+            $this->history = array_merge($this->history, [array_shift($this->screen)]);
+            $this->screen[] = '';
+
+            $this->history_attrs = array_merge($this->history_attrs, [array_shift($this->attrs)]);
+            $this->attrs[] = $this->attr_row;
+
+            if (count($this->history) >= $this->max_history) {
+                array_shift($this->history);
+                array_shift($this->history_attrs);
+            }
+
+            $this->y--;
+        }
+        $this->y++;
+    }
+
+    /**
+     * Returns the current coordinate without preformating
+     *
+     * @access private
+     * @param \stdClass $last_attr
+     * @param \stdClass $cur_attr
+     * @param string $char
+     * @return string
+     */
+    private function processCoordinate($last_attr, $cur_attr, $char)
+    {
+        $output = '';
+
+        if ($last_attr != $cur_attr) {
+            $close = $open = '';
+            if ($last_attr->foreground != $cur_attr->foreground) {
+                if ($cur_attr->foreground != 'white') {
+                    $open.= '<span style="color: ' . $cur_attr->foreground . '">';
+                }
+                if ($last_attr->foreground != 'white') {
+                    $close = '</span>' . $close;
+                }
+            }
+            if ($last_attr->background != $cur_attr->background) {
+                if ($cur_attr->background != 'black') {
+                    $open.= '<span style="background: ' . $cur_attr->background . '">';
+                }
+                if ($last_attr->background != 'black') {
+                    $close = '</span>' . $close;
+                }
+            }
+            if ($last_attr->bold != $cur_attr->bold) {
+                if ($cur_attr->bold) {
+                    $open.= '<b>';
+                } else {
+                    $close = '</b>' . $close;
+                }
+            }
+            if ($last_attr->underline != $cur_attr->underline) {
+                if ($cur_attr->underline) {
+                    $open.= '<u>';
+                } else {
+                    $close = '</u>' . $close;
+                }
+            }
+            if ($last_attr->blink != $cur_attr->blink) {
+                if ($cur_attr->blink) {
+                    $open.= '<blink>';
+                } else {
+                    $close = '</blink>' . $close;
+                }
+            }
+            $output.= $close . $open;
+        }
+
+        $output.= htmlspecialchars($char);
+
+        return $output;
+    }
+
+    /**
+     * Returns the current screen without preformating
+     *
+     * @access private
+     * @return string
+     */
+    private function getScreenHelper()
+    {
+        $output = '';
+        $last_attr = $this->base_attr_cell;
+        for ($i = 0; $i <= $this->max_y; $i++) {
+            for ($j = 0; $j <= $this->max_x; $j++) {
+                $cur_attr = $this->attrs[$i][$j];
+                $output.= $this->processCoordinate($last_attr, $cur_attr, isset($this->screen[$i][$j]) ? $this->screen[$i][$j] : '');
+                $last_attr = $this->attrs[$i][$j];
+            }
+            $output.= "\r\n";
+        }
+        $output = substr($output, 0, -2);
+        // close any remaining open tags
+        $output.= $this->processCoordinate($last_attr, $this->base_attr_cell, '');
+        return rtrim($output);
+    }
+
+    /**
+     * Returns the current screen
+     *
+     * @access public
+     * @return string
+     */
+    public function getScreen()
+    {
+        return '<pre width="' . ($this->max_x + 1) . '" style="color: white; background: black">' . $this->getScreenHelper() . '</pre>';
+    }
+
+    /**
+     * Returns the current screen and the x previous lines
+     *
+     * @access public
+     * @return string
+     */
+    public function getHistory()
+    {
+        $scrollback = '';
+        $last_attr = $this->base_attr_cell;
+        for ($i = 0; $i < count($this->history); $i++) {
+            for ($j = 0; $j <= $this->max_x + 1; $j++) {
+                $cur_attr = $this->history_attrs[$i][$j];
+                $scrollback.= $this->processCoordinate($last_attr, $cur_attr, isset($this->history[$i][$j]) ? $this->history[$i][$j] : '');
+                $last_attr = $this->history_attrs[$i][$j];
+            }
+            $scrollback.= "\r\n";
+        }
+        $base_attr_cell = $this->base_attr_cell;
+        $this->base_attr_cell = $last_attr;
+        $scrollback.= $this->getScreen();
+        $this->base_attr_cell = $base_attr_cell;
+
+        return '<pre width="' . ($this->max_x + 1) . '" style="color: white; background: black">' . $scrollback . '</span></pre>';
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1.php
new file mode 100644
index 000000000..cdc5b697d
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1.php
@@ -0,0 +1,1498 @@
+<?php
+
+/**
+ * Pure-PHP ASN.1 Parser
+ *
+ * PHP version 5
+ *
+ * ASN.1 provides the semantics for data encoded using various schemes.  The most commonly
+ * utilized scheme is DER or the "Distinguished Encoding Rules".  PEM's are base64 encoded
+ * DER blobs.
+ *
+ * \phpseclib3\File\ASN1 decodes and encodes DER formatted messages and places them in a semantic context.
+ *
+ * Uses the 1988 ASN.1 syntax.
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2012 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File;
+
+use ParagonIE\ConstantTime\Base64;
+use phpseclib3\File\ASN1\Element;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Common\Functions\Strings;
+use DateTime;
+use DateTimeZone;
+
+/**
+ * Pure-PHP ASN.1 Parser
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class ASN1
+{
+    // Tag Classes
+    // http://www.itu.int/ITU-T/studygroups/com17/languages/X.690-0207.pdf#page=12
+    const CLASS_UNIVERSAL        = 0;
+    const CLASS_APPLICATION      = 1;
+    const CLASS_CONTEXT_SPECIFIC = 2;
+    const CLASS_PRIVATE          = 3;
+
+    // Tag Classes
+    // http://www.obj-sys.com/asn1tutorial/node124.html
+    const TYPE_BOOLEAN           = 1;
+    const TYPE_INTEGER           = 2;
+    const TYPE_BIT_STRING        = 3;
+    const TYPE_OCTET_STRING      = 4;
+    const TYPE_NULL              = 5;
+    const TYPE_OBJECT_IDENTIFIER = 6;
+    //const TYPE_OBJECT_DESCRIPTOR = 7;
+    //const TYPE_INSTANCE_OF       = 8; // EXTERNAL
+    const TYPE_REAL              = 9;
+    const TYPE_ENUMERATED        = 10;
+    //const TYPE_EMBEDDED          = 11;
+    const TYPE_UTF8_STRING       = 12;
+    //const TYPE_RELATIVE_OID      = 13;
+    const TYPE_SEQUENCE          = 16; // SEQUENCE OF
+    const TYPE_SET               = 17; // SET OF
+
+    // More Tag Classes
+    // http://www.obj-sys.com/asn1tutorial/node10.html
+    const TYPE_NUMERIC_STRING   = 18;
+    const TYPE_PRINTABLE_STRING = 19;
+    const TYPE_TELETEX_STRING   = 20; // T61String
+    const TYPE_VIDEOTEX_STRING  = 21;
+    const TYPE_IA5_STRING       = 22;
+    const TYPE_UTC_TIME         = 23;
+    const TYPE_GENERALIZED_TIME = 24;
+    const TYPE_GRAPHIC_STRING   = 25;
+    const TYPE_VISIBLE_STRING   = 26; // ISO646String
+    const TYPE_GENERAL_STRING   = 27;
+    const TYPE_UNIVERSAL_STRING = 28;
+    //const TYPE_CHARACTER_STRING = 29;
+    const TYPE_BMP_STRING       = 30;
+
+    // Tag Aliases
+    // These tags are kinda place holders for other tags.
+    const TYPE_CHOICE = -1;
+    const TYPE_ANY    = -2;
+
+    /**
+     * ASN.1 object identifiers
+     *
+     * @var array
+     * @access private
+     * @link http://en.wikipedia.org/wiki/Object_identifier
+     */
+    private static $oids = [];
+
+    /**
+     * ASN.1 object identifier reverse mapping
+     *
+     * @var array
+     * @access private
+     */
+    private static $reverseOIDs = [];
+
+    /**
+     * Default date format
+     *
+     * @var string
+     * @access private
+     * @link http://php.net/class.datetime
+     */
+    private static $format = 'D, d M Y H:i:s O';
+
+    /**
+     * Filters
+     *
+     * If the mapping type is self::TYPE_ANY what do we actually encode it as?
+     *
+     * @var array
+     * @access private
+     * @see self::encode_der()
+     */
+    private static $filters;
+
+    /**
+     * Current Location of most recent ASN.1 encode process
+     *
+     * Useful for debug purposes
+     *
+     * @var array
+     * @access private
+     * @see self::encode_der()
+     */
+    private static $location;
+
+    /**
+     * DER Encoded String
+     *
+     * In case we need to create ASN1\Element object's..
+     *
+     * @var string
+     * @access private
+     * @see self::decodeDER()
+     */
+    private static $encoded;
+
+    /**
+     * Type mapping table for the ANY type.
+     *
+     * Structured or unknown types are mapped to a \phpseclib3\File\ASN1\Element.
+     * Unambiguous types get the direct mapping (int/real/bool).
+     * Others are mapped as a choice, with an extra indexing level.
+     *
+     * @var array
+     * @access public
+     */
+    const ANY_MAP = [
+        self::TYPE_BOOLEAN              => true,
+        self::TYPE_INTEGER              => true,
+        self::TYPE_BIT_STRING           => 'bitString',
+        self::TYPE_OCTET_STRING         => 'octetString',
+        self::TYPE_NULL                 => 'null',
+        self::TYPE_OBJECT_IDENTIFIER    => 'objectIdentifier',
+        self::TYPE_REAL                 => true,
+        self::TYPE_ENUMERATED           => 'enumerated',
+        self::TYPE_UTF8_STRING          => 'utf8String',
+        self::TYPE_NUMERIC_STRING       => 'numericString',
+        self::TYPE_PRINTABLE_STRING     => 'printableString',
+        self::TYPE_TELETEX_STRING       => 'teletexString',
+        self::TYPE_VIDEOTEX_STRING      => 'videotexString',
+        self::TYPE_IA5_STRING           => 'ia5String',
+        self::TYPE_UTC_TIME             => 'utcTime',
+        self::TYPE_GENERALIZED_TIME     => 'generalTime',
+        self::TYPE_GRAPHIC_STRING       => 'graphicString',
+        self::TYPE_VISIBLE_STRING       => 'visibleString',
+        self::TYPE_GENERAL_STRING       => 'generalString',
+        self::TYPE_UNIVERSAL_STRING     => 'universalString',
+        //self::TYPE_CHARACTER_STRING     => 'characterString',
+        self::TYPE_BMP_STRING           => 'bmpString'
+    ];
+
+    /**
+     * String type to character size mapping table.
+     *
+     * Non-convertable types are absent from this table.
+     * size == 0 indicates variable length encoding.
+     *
+     * @var array
+     * @access public
+     */
+   const STRING_TYPE_SIZE = [
+        self::TYPE_UTF8_STRING      => 0,
+        self::TYPE_BMP_STRING       => 2,
+        self::TYPE_UNIVERSAL_STRING => 4,
+        self::TYPE_PRINTABLE_STRING => 1,
+        self::TYPE_TELETEX_STRING   => 1,
+        self::TYPE_IA5_STRING       => 1,
+        self::TYPE_VISIBLE_STRING   => 1,
+    ];
+
+    /**
+     * Parse BER-encoding
+     *
+     * Serves a similar purpose to openssl's asn1parse
+     *
+     * @param string $encoded
+     * @return array
+     * @access public
+     */
+    public static function decodeBER($encoded)
+    {
+        if ($encoded instanceof Element) {
+            $encoded = $encoded->element;
+        }
+
+        self::$encoded = $encoded;
+
+        $decoded = [self::decode_ber($encoded)];
+
+        // encapsulate in an array for BC with the old decodeBER
+        return $decoded;
+    }
+
+    /**
+     * Parse BER-encoding (Helper function)
+     *
+     * Sometimes we want to get the BER encoding of a particular tag.  $start lets us do that without having to reencode.
+     * $encoded is passed by reference for the recursive calls done for self::TYPE_BIT_STRING and
+     * self::TYPE_OCTET_STRING. In those cases, the indefinite length is used.
+     *
+     * @param string $encoded
+     * @param int $start
+     * @param int $encoded_pos
+     * @return array|bool
+     * @access private
+     */
+    private static function decode_ber($encoded, $start = 0, $encoded_pos = 0)
+    {
+        $current = ['start' => $start];
+
+        $type = ord($encoded[$encoded_pos++]);
+        $start++;
+
+        $constructed = ($type >> 5) & 1;
+
+        $tag = $type & 0x1F;
+        if ($tag == 0x1F) {
+            $tag = 0;
+            // process septets (since the eighth bit is ignored, it's not an octet)
+            do {
+                $temp = ord($encoded[$encoded_pos++]);
+                $loop = $temp >> 7;
+                $tag <<= 7;
+                $tag |= $temp & 0x7F;
+                $start++;
+            } while ($loop);
+        }
+
+        // Length, as discussed in paragraph 8.1.3 of X.690-0207.pdf#page=13
+        $length = ord($encoded[$encoded_pos++]);
+        $start++;
+        if ($length == 0x80) { // indefinite length
+            // "[A sender shall] use the indefinite form (see 8.1.3.6) if the encoding is constructed and is not all
+            //  immediately available." -- paragraph 8.1.3.2.c
+            $length = strlen($encoded) - $encoded_pos;
+        } elseif ($length & 0x80) { // definite length, long form
+            // technically, the long form of the length can be represented by up to 126 octets (bytes), but we'll only
+            // support it up to four.
+            $length&= 0x7F;
+            $temp = substr($encoded, $encoded_pos, $length);
+            $encoded_pos += $length;
+            // tags of indefinte length don't really have a header length; this length includes the tag
+            $current+= ['headerlength' => $length + 2];
+            $start+= $length;
+            extract(unpack('Nlength', substr(str_pad($temp, 4, chr(0), STR_PAD_LEFT), -4)));
+            /** @var integer $length */
+        } else {
+            $current+= ['headerlength' => 2];
+        }
+
+        if ($length > (strlen($encoded) - $encoded_pos)) {
+            return false;
+        }
+
+        $content = substr($encoded, $encoded_pos, $length);
+        $content_pos = 0;
+
+        // at this point $length can be overwritten. it's only accurate for definite length things as is
+
+        /* Class is UNIVERSAL, APPLICATION, PRIVATE, or CONTEXT-SPECIFIC. The UNIVERSAL class is restricted to the ASN.1
+           built-in types. It defines an application-independent data type that must be distinguishable from all other
+           data types. The other three classes are user defined. The APPLICATION class distinguishes data types that
+           have a wide, scattered use within a particular presentation context. PRIVATE distinguishes data types within
+           a particular organization or country. CONTEXT-SPECIFIC distinguishes members of a sequence or set, the
+           alternatives of a CHOICE, or universally tagged set members. Only the class number appears in braces for this
+           data type; the term CONTEXT-SPECIFIC does not appear.
+
+             -- http://www.obj-sys.com/asn1tutorial/node12.html */
+        $class = ($type >> 6) & 3;
+        switch ($class) {
+            case self::CLASS_APPLICATION:
+            case self::CLASS_PRIVATE:
+            case self::CLASS_CONTEXT_SPECIFIC:
+                if (!$constructed) {
+                    return [
+                        'type'     => $class,
+                        'constant' => $tag,
+                        'content'  => $content,
+                        'length'   => $length + $start - $current['start']
+                    ] + $current;
+                }
+
+                $newcontent = [];
+                $remainingLength = $length;
+                while ($remainingLength > 0) {
+                    $temp = self::decode_ber($content, $start, $content_pos);
+                    if ($temp === false) {
+                        break;
+                    }
+                    $length = $temp['length'];
+                    // end-of-content octets - see paragraph 8.1.5
+                    if (substr($content, $content_pos + $length, 2) == "\0\0") {
+                        $length+= 2;
+                        $start+= $length;
+                        $newcontent[] = $temp;
+                        break;
+                    }
+                    $start+= $length;
+                    $remainingLength-= $length;
+                    $newcontent[] = $temp;
+                    $content_pos += $length;
+                }
+
+                return [
+                    'type'     => $class,
+                    'constant' => $tag,
+                    // the array encapsulation is for BC with the old format
+                    'content'  => $newcontent,
+                    // the only time when $content['headerlength'] isn't defined is when the length is indefinite.
+                    // the absence of $content['headerlength'] is how we know if something is indefinite or not.
+                    // technically, it could be defined to be 2 and then another indicator could be used but whatever.
+                    'length'   => $start - $current['start']
+                ] + $current;
+        }
+
+        $current+= ['type' => $tag];
+
+        // decode UNIVERSAL tags
+        switch ($tag) {
+            case self::TYPE_BOOLEAN:
+                // "The contents octets shall consist of a single octet." -- paragraph 8.2.1
+                //if (strlen($content) != 1) {
+                //    return false;
+                //}
+                $current['content'] = (bool) ord($content[$content_pos]);
+                break;
+            case self::TYPE_INTEGER:
+            case self::TYPE_ENUMERATED:
+                $current['content'] = new BigInteger(substr($content, $content_pos), -256);
+                break;
+            case self::TYPE_REAL: // not currently supported
+                return false;
+            case self::TYPE_BIT_STRING:
+                // The initial octet shall encode, as an unsigned binary integer with bit 1 as the least significant bit,
+                // the number of unused bits in the final subsequent octet. The number shall be in the range zero to
+                // seven.
+                if (!$constructed) {
+                    $current['content'] = substr($content, $content_pos);
+                } else {
+                    $temp = self::decode_ber($content, $start, $content_pos);
+                    if ($temp === false) {
+                        return false;
+                    }
+                    $length-= (strlen($content) - $content_pos);
+                    $last = count($temp) - 1;
+                    for ($i = 0; $i < $last; $i++) {
+                        // all subtags should be bit strings
+                        //if ($temp[$i]['type'] != self::TYPE_BIT_STRING) {
+                        //    return false;
+                        //}
+                        $current['content'].= substr($temp[$i]['content'], 1);
+                    }
+                    // all subtags should be bit strings
+                    //if ($temp[$last]['type'] != self::TYPE_BIT_STRING) {
+                    //    return false;
+                    //}
+                    $current['content'] = $temp[$last]['content'][0] . $current['content'] . substr($temp[$i]['content'], 1);
+                }
+                break;
+            case self::TYPE_OCTET_STRING:
+                if (!$constructed) {
+                    $current['content'] = substr($content, $content_pos);
+                } else {
+                    $current['content'] = '';
+                    $length = 0;
+                    while (substr($content, $content_pos, 2) != "\0\0") {
+                        $temp = self::decode_ber($content, $length + $start, $content_pos);
+                        if ($temp === false) {
+                            return false;
+                        }
+                        $content_pos += $temp['length'];
+                        // all subtags should be octet strings
+                        //if ($temp['type'] != self::TYPE_OCTET_STRING) {
+                        //    return false;
+                        //}
+                        $current['content'].= $temp['content'];
+                        $length+= $temp['length'];
+                    }
+                    if (substr($content, $content_pos, 2) == "\0\0") {
+                        $length+= 2; // +2 for the EOC
+                    }
+                }
+                break;
+            case self::TYPE_NULL:
+                // "The contents octets shall not contain any octets." -- paragraph 8.8.2
+                //if (strlen($content)) {
+                //    return false;
+                //}
+                break;
+            case self::TYPE_SEQUENCE:
+            case self::TYPE_SET:
+                $offset = 0;
+                $current['content'] = [];
+                $content_len = strlen($content);
+                while ($content_pos < $content_len) {
+                    // if indefinite length construction was used and we have an end-of-content string next
+                    // see paragraphs 8.1.1.3, 8.1.3.2, 8.1.3.6, 8.1.5, and (for an example) 8.6.4.2
+                    if (!isset($current['headerlength']) && substr($content, $content_pos, 2) == "\0\0") {
+                        $length = $offset + 2; // +2 for the EOC
+                        break 2;
+                    }
+                    $temp = self::decode_ber($content, $start + $offset, $content_pos);
+                    if ($temp === false) {
+                        return false;
+                    }
+                    $content_pos += $temp['length'];
+                    $current['content'][] = $temp;
+                    $offset+= $temp['length'];
+                }
+                break;
+            case self::TYPE_OBJECT_IDENTIFIER:
+                $current['content'] = self::decodeOID(substr($content, $content_pos));
+                break;
+            /* Each character string type shall be encoded as if it had been declared:
+               [UNIVERSAL x] IMPLICIT OCTET STRING
+
+                 -- X.690-0207.pdf#page=23 (paragraph 8.21.3)
+
+               Per that, we're not going to do any validation.  If there are any illegal characters in the string,
+               we don't really care */
+            case self::TYPE_NUMERIC_STRING:
+                // 0,1,2,3,4,5,6,7,8,9, and space
+            case self::TYPE_PRINTABLE_STRING:
+                // Upper and lower case letters, digits, space, apostrophe, left/right parenthesis, plus sign, comma,
+                // hyphen, full stop, solidus, colon, equal sign, question mark
+            case self::TYPE_TELETEX_STRING:
+                // The Teletex character set in CCITT's T61, space, and delete
+                // see http://en.wikipedia.org/wiki/Teletex#Character_sets
+            case self::TYPE_VIDEOTEX_STRING:
+                // The Videotex character set in CCITT's T.100 and T.101, space, and delete
+            case self::TYPE_VISIBLE_STRING:
+                // Printing character sets of international ASCII, and space
+            case self::TYPE_IA5_STRING:
+                // International Alphabet 5 (International ASCII)
+            case self::TYPE_GRAPHIC_STRING:
+                // All registered G sets, and space
+            case self::TYPE_GENERAL_STRING:
+                // All registered C and G sets, space and delete
+            case self::TYPE_UTF8_STRING:
+                // ????
+            case self::TYPE_BMP_STRING:
+                $current['content'] = substr($content, $content_pos);
+                break;
+            case self::TYPE_UTC_TIME:
+            case self::TYPE_GENERALIZED_TIME:
+                $current['content'] = self::decodeTime(substr($content, $content_pos), $tag);
+            default:
+        }
+
+        $start+= $length;
+
+        // ie. length is the length of the full TLV encoding - it's not just the length of the value
+        return $current + ['length' => $start - $current['start']];
+    }
+
+    /**
+     * ASN.1 Map
+     *
+     * Provides an ASN.1 semantic mapping ($mapping) from a parsed BER-encoding to a human readable format.
+     *
+     * "Special" mappings may be applied on a per tag-name basis via $special.
+     *
+     * @param array $decoded
+     * @param array $mapping
+     * @param array $special
+     * @return array|bool|Element
+     * @access public
+     */
+    public static function asn1map($decoded, $mapping, $special = [])
+    {
+        if (!is_array($decoded)) {
+            return false;
+        }
+
+        if (isset($mapping['explicit']) && is_array($decoded['content'])) {
+            $decoded = $decoded['content'][0];
+        }
+
+        switch (true) {
+            case $mapping['type'] == self::TYPE_ANY:
+                $intype = $decoded['type'];
+                // !isset(self::ANY_MAP[$intype]) produces a fatal error on PHP 5.6
+                if (isset($decoded['constant']) || !array_key_exists($intype, self::ANY_MAP) || (ord(self::$encoded[$decoded['start']]) & 0x20)) {
+                    return new Element(substr(self::$encoded, $decoded['start'], $decoded['length']));
+                }
+                $inmap = self::ANY_MAP[$intype];
+                if (is_string($inmap)) {
+                    return [$inmap => self::asn1map($decoded, ['type' => $intype] + $mapping, $special)];
+                }
+                break;
+            case $mapping['type'] == self::TYPE_CHOICE:
+                foreach ($mapping['children'] as $key => $option) {
+                    switch (true) {
+                        case isset($option['constant']) && $option['constant'] == $decoded['constant']:
+                        case !isset($option['constant']) && $option['type'] == $decoded['type']:
+                            $value = self::asn1map($decoded, $option, $special);
+                            break;
+                        case !isset($option['constant']) && $option['type'] == self::TYPE_CHOICE:
+                            $v = self::asn1map($decoded, $option, $special);
+                            if (isset($v)) {
+                                $value = $v;
+                            }
+                    }
+                    if (isset($value)) {
+                        if (isset($special[$key])) {
+                            $value = $special[$key]($value);
+                        }
+                        return [$key => $value];
+                    }
+                }
+                return null;
+            case isset($mapping['implicit']):
+            case isset($mapping['explicit']):
+            case $decoded['type'] == $mapping['type']:
+                break;
+            default:
+                // if $decoded['type'] and $mapping['type'] are both strings, but different types of strings,
+                // let it through
+                switch (true) {
+                    case $decoded['type'] < 18: // self::TYPE_NUMERIC_STRING == 18
+                    case $decoded['type'] > 30: // self::TYPE_BMP_STRING == 30
+                    case $mapping['type'] < 18:
+                    case $mapping['type'] > 30:
+                        return null;
+                }
+        }
+
+        if (isset($mapping['implicit'])) {
+            $decoded['type'] = $mapping['type'];
+        }
+
+        switch ($decoded['type']) {
+            case self::TYPE_SEQUENCE:
+                $map = [];
+
+                // ignore the min and max
+                if (isset($mapping['min']) && isset($mapping['max'])) {
+                    $child = $mapping['children'];
+                    foreach ($decoded['content'] as $content) {
+                        if (($map[] = self::asn1map($content, $child, $special)) === null) {
+                            return null;
+                        }
+                    }
+
+                    return $map;
+                }
+
+                $n = count($decoded['content']);
+                $i = 0;
+
+                foreach ($mapping['children'] as $key => $child) {
+                    $maymatch = $i < $n; // Match only existing input.
+                    if ($maymatch) {
+                        $temp = $decoded['content'][$i];
+
+                        if ($child['type'] != self::TYPE_CHOICE) {
+                            // Get the mapping and input class & constant.
+                            $childClass = $tempClass = self::CLASS_UNIVERSAL;
+                            $constant = null;
+                            if (isset($temp['constant'])) {
+                                $tempClass = $temp['type'];
+                            }
+                            if (isset($child['class'])) {
+                                $childClass = $child['class'];
+                                $constant = $child['cast'];
+                            } elseif (isset($child['constant'])) {
+                                $childClass = self::CLASS_CONTEXT_SPECIFIC;
+                                $constant = $child['constant'];
+                            }
+
+                            if (isset($constant) && isset($temp['constant'])) {
+                                // Can only match if constants and class match.
+                                $maymatch = $constant == $temp['constant'] && $childClass == $tempClass;
+                            } else {
+                                // Can only match if no constant expected and type matches or is generic.
+                                $maymatch = !isset($child['constant']) && array_search($child['type'], [$temp['type'], self::TYPE_ANY, self::TYPE_CHOICE]) !== false;
+                            }
+                        }
+                    }
+
+                    if ($maymatch) {
+                        // Attempt submapping.
+                        $candidate = self::asn1map($temp, $child, $special);
+                        $maymatch = $candidate !== null;
+                    }
+
+                    if ($maymatch) {
+                        // Got the match: use it.
+                        if (isset($special[$key])) {
+                            $candidate = $special[$key]($candidate);
+                        }
+                        $map[$key] = $candidate;
+                        $i++;
+                    } elseif (isset($child['default'])) {
+                        switch ($child['type']) {
+                            case ASN1::TYPE_INTEGER:
+                                $map[$key] = new BigInteger($child['default']);
+                                break;
+                            //case self::TYPE_OBJECT_IDENTIFIER:
+                            //    if (!isset(self::$reverseOIDs[$name])) {
+                            //        return null;
+                            //    }
+                            //case ASN1::TYPE_BOOLEAN:
+                            default:
+                                $map[$key] = $child['default'];
+                        }
+                    } elseif (!isset($child['optional'])) {
+                        return null; // Syntax error.
+                    }
+                }
+
+                // Fail mapping if all input items have not been consumed.
+                return $i < $n ? null: $map;
+
+            // the main diff between sets and sequences is the encapsulation of the foreach in another for loop
+            case self::TYPE_SET:
+                $map = [];
+
+                // ignore the min and max
+                if (isset($mapping['min']) && isset($mapping['max'])) {
+                    $child = $mapping['children'];
+                    foreach ($decoded['content'] as $content) {
+                        if (($map[] = self::asn1map($content, $child, $special)) === null) {
+                            return null;
+                        }
+                    }
+
+                    return $map;
+                }
+
+                for ($i = 0; $i < count($decoded['content']); $i++) {
+                    $temp = $decoded['content'][$i];
+                    $tempClass = self::CLASS_UNIVERSAL;
+                    if (isset($temp['constant'])) {
+                        $tempClass = $temp['type'];
+                    }
+
+                    foreach ($mapping['children'] as $key => $child) {
+                        if (isset($map[$key])) {
+                            continue;
+                        }
+                        $maymatch = true;
+                        if ($child['type'] != self::TYPE_CHOICE) {
+                            $childClass = self::CLASS_UNIVERSAL;
+                            $constant = null;
+                            if (isset($child['class'])) {
+                                $childClass = $child['class'];
+                                $constant = $child['cast'];
+                            } elseif (isset($child['constant'])) {
+                                $childClass = self::CLASS_CONTEXT_SPECIFIC;
+                                $constant = $child['constant'];
+                            }
+
+                            if (isset($constant) && isset($temp['constant'])) {
+                                // Can only match if constants and class match.
+                                $maymatch = $constant == $temp['constant'] && $childClass == $tempClass;
+                            } else {
+                                // Can only match if no constant expected and type matches or is generic.
+                                $maymatch = !isset($child['constant']) && array_search($child['type'], [$temp['type'], self::TYPE_ANY, self::TYPE_CHOICE]) !== false;
+                            }
+                        }
+
+                        if ($maymatch) {
+                            // Attempt submapping.
+                            $candidate = self::asn1map($temp, $child, $special);
+                            $maymatch = $candidate !== null;
+                        }
+
+                        if (!$maymatch) {
+                            break;
+                        }
+
+                        // Got the match: use it.
+                        if (isset($special[$key])) {
+                            $candidate = $special[$key]($candidate);
+                        }
+                        $map[$key] = $candidate;
+                        break;
+                    }
+                }
+
+                foreach ($mapping['children'] as $key => $child) {
+                    if (!isset($map[$key])) {
+                        if (isset($child['default'])) {
+                            $map[$key] = $child['default'];
+                        } elseif (!isset($child['optional'])) {
+                            return null;
+                        }
+                    }
+                }
+                return $map;
+            case self::TYPE_OBJECT_IDENTIFIER:
+                return isset(self::$oids[$decoded['content']]) ? self::$oids[$decoded['content']] : $decoded['content'];
+            case self::TYPE_UTC_TIME:
+            case self::TYPE_GENERALIZED_TIME:
+                // for explicitly tagged optional stuff
+                if (is_array($decoded['content'])) {
+                    $decoded['content'] = $decoded['content'][0]['content'];
+                }
+                // for implicitly tagged optional stuff
+                // in theory, doing isset($mapping['implicit']) would work but malformed certs do exist
+                // in the wild that OpenSSL decodes without issue so we'll support them as well
+                if (!is_object($decoded['content'])) {
+                    $decoded['content'] = self::decodeTime($decoded['content'], $decoded['type']);
+                }
+                return $decoded['content'] ? $decoded['content']->format(self::$format) : false;
+            case self::TYPE_BIT_STRING:
+                if (isset($mapping['mapping'])) {
+                    $offset = ord($decoded['content'][0]);
+                    $size = (strlen($decoded['content']) - 1) * 8 - $offset;
+                    /*
+                       From X.680-0207.pdf#page=46 (21.7):
+
+                       "When a "NamedBitList" is used in defining a bitstring type ASN.1 encoding rules are free to add (or remove)
+                        arbitrarily any trailing 0 bits to (or from) values that are being encoded or decoded. Application designers should
+                        therefore ensure that different semantics are not associated with such values which differ only in the number of trailing
+                        0 bits."
+                    */
+                    $bits = count($mapping['mapping']) == $size ? [] : array_fill(0, count($mapping['mapping']) - $size, false);
+                    for ($i = strlen($decoded['content']) - 1; $i > 0; $i--) {
+                        $current = ord($decoded['content'][$i]);
+                        for ($j = $offset; $j < 8; $j++) {
+                            $bits[] = (bool) ($current & (1 << $j));
+                        }
+                        $offset = 0;
+                    }
+                    $values = [];
+                    $map = array_reverse($mapping['mapping']);
+                    foreach ($map as $i => $value) {
+                        if ($bits[$i]) {
+                            $values[] = $value;
+                        }
+                    }
+                    return $values;
+                }
+            case self::TYPE_OCTET_STRING:
+                return $decoded['content'];
+            case self::TYPE_NULL:
+                return '';
+            case self::TYPE_BOOLEAN:
+                return $decoded['content'];
+            case self::TYPE_NUMERIC_STRING:
+            case self::TYPE_PRINTABLE_STRING:
+            case self::TYPE_TELETEX_STRING:
+            case self::TYPE_VIDEOTEX_STRING:
+            case self::TYPE_IA5_STRING:
+            case self::TYPE_GRAPHIC_STRING:
+            case self::TYPE_VISIBLE_STRING:
+            case self::TYPE_GENERAL_STRING:
+            case self::TYPE_UNIVERSAL_STRING:
+            case self::TYPE_UTF8_STRING:
+            case self::TYPE_BMP_STRING:
+                return $decoded['content'];
+            case self::TYPE_INTEGER:
+            case self::TYPE_ENUMERATED:
+                $temp = $decoded['content'];
+                if (isset($mapping['implicit'])) {
+                    $temp = new BigInteger($decoded['content'], -256);
+                }
+                if (isset($mapping['mapping'])) {
+                    $temp = (int) $temp->toString();
+                    return isset($mapping['mapping'][$temp]) ?
+                        $mapping['mapping'][$temp] :
+                        false;
+                }
+                return $temp;
+        }
+    }
+
+    /**
+     * DER-decode the length
+     *
+     * DER supports lengths up to (2**8)**127, however, we'll only support lengths up to (2**8)**4.  See
+     * {@link http://itu.int/ITU-T/studygroups/com17/languages/X.690-0207.pdf#p=13 X.690 paragraph 8.1.3} for more information.
+     *
+     * @access public
+     * @param string $string
+     * @return int
+     */
+    public static function decodeLength(&$string)
+    {
+        $length = ord(Strings::shift($string));
+        if ($length & 0x80) { // definite length, long form
+            $length&= 0x7F;
+            $temp = Strings::shift($string, $length);
+            list(, $length) = unpack('N', substr(str_pad($temp, 4, chr(0), STR_PAD_LEFT), -4));
+        }
+        return $length;
+    }
+
+    /**
+     * ASN.1 Encode
+     *
+     * DER-encodes an ASN.1 semantic mapping ($mapping).  Some libraries would probably call this function
+     * an ASN.1 compiler.
+     *
+     * "Special" mappings can be applied via $special.
+     *
+     * @param Element|string|array $source
+     * @param array $mapping
+     * @param array $special
+     * @return string
+     * @access public
+     */
+    public static function encodeDER($source, $mapping, $special = [])
+    {
+        self::$location = [];
+        return self::encode_der($source, $mapping, null, $special);
+    }
+
+    /**
+     * ASN.1 Encode (Helper function)
+     *
+     * @param Element|string|array $source
+     * @param array $mapping
+     * @param int $idx
+     * @param array $special
+     * @return string
+     * @access private
+     */
+    private static function encode_der($source, $mapping, $idx = null, $special = [])
+    {
+        if ($source instanceof Element) {
+            return $source->element;
+        }
+
+        // do not encode (implicitly optional) fields with value set to default
+        if (isset($mapping['default']) && $source === $mapping['default']) {
+            return '';
+        }
+
+        if (isset($idx)) {
+            if (isset($special[$idx])) {
+                $source = $special[$idx]($source);
+            }
+            self::$location[] = $idx;
+        }
+
+        $tag = $mapping['type'];
+
+        switch ($tag) {
+            case self::TYPE_SET:    // Children order is not important, thus process in sequence.
+            case self::TYPE_SEQUENCE:
+                $tag|= 0x20; // set the constructed bit
+
+                // ignore the min and max
+                if (isset($mapping['min']) && isset($mapping['max'])) {
+                    $value = [];
+                    $child = $mapping['children'];
+
+                    foreach ($source as $content) {
+                        $temp = self::encode_der($content, $child, null, $special);
+                        if ($temp === false) {
+                            return false;
+                        }
+                        $value[]= $temp;
+                    }
+                    /* "The encodings of the component values of a set-of value shall appear in ascending order, the encodings being compared
+                        as octet strings with the shorter components being padded at their trailing end with 0-octets.
+                        NOTE - The padding octets are for comparison purposes only and do not appear in the encodings."
+
+                       -- sec 11.6 of http://www.itu.int/ITU-T/studygroups/com17/languages/X.690-0207.pdf  */
+                    if ($mapping['type'] == self::TYPE_SET) {
+                        sort($value);
+                    }
+                    $value = implode('', $value);
+                    break;
+                }
+
+                $value = '';
+                foreach ($mapping['children'] as $key => $child) {
+                    if (!array_key_exists($key, $source)) {
+                        if (!isset($child['optional'])) {
+                            return false;
+                        }
+                        continue;
+                    }
+
+                    $temp = self::encode_der($source[$key], $child, $key, $special);
+                    if ($temp === false) {
+                        return false;
+                    }
+
+                    // An empty child encoding means it has been optimized out.
+                    // Else we should have at least one tag byte.
+                    if ($temp === '') {
+                        continue;
+                    }
+
+                    // if isset($child['constant']) is true then isset($child['optional']) should be true as well
+                    if (isset($child['constant'])) {
+                        /*
+                           From X.680-0207.pdf#page=58 (30.6):
+
+                           "The tagging construction specifies explicit tagging if any of the following holds:
+                            ...
+                            c) the "Tag Type" alternative is used and the value of "TagDefault" for the module is IMPLICIT TAGS or
+                            AUTOMATIC TAGS, but the type defined by "Type" is an untagged choice type, an untagged open type, or
+                            an untagged "DummyReference" (see ITU-T Rec. X.683 | ISO/IEC 8824-4, 8.3)."
+                         */
+                        if (isset($child['explicit']) || $child['type'] == self::TYPE_CHOICE) {
+                            $subtag = chr((self::CLASS_CONTEXT_SPECIFIC << 6) | 0x20 | $child['constant']);
+                            $temp = $subtag . self::encodeLength(strlen($temp)) . $temp;
+                        } else {
+                            $subtag = chr((self::CLASS_CONTEXT_SPECIFIC << 6) | (ord($temp[0]) & 0x20) | $child['constant']);
+                            $temp = $subtag . substr($temp, 1);
+                        }
+                    }
+                    $value.= $temp;
+                }
+                break;
+            case self::TYPE_CHOICE:
+                $temp = false;
+
+                foreach ($mapping['children'] as $key => $child) {
+                    if (!isset($source[$key])) {
+                        continue;
+                    }
+
+                    $temp = self::encode_der($source[$key], $child, $key, $special);
+                    if ($temp === false) {
+                        return false;
+                    }
+
+                    // An empty child encoding means it has been optimized out.
+                    // Else we should have at least one tag byte.
+                    if ($temp === '') {
+                        continue;
+                    }
+
+                    $tag = ord($temp[0]);
+
+                    // if isset($child['constant']) is true then isset($child['optional']) should be true as well
+                    if (isset($child['constant'])) {
+                        if (isset($child['explicit']) || $child['type'] == self::TYPE_CHOICE) {
+                            $subtag = chr((self::CLASS_CONTEXT_SPECIFIC << 6) | 0x20 | $child['constant']);
+                            $temp = $subtag . self::encodeLength(strlen($temp)) . $temp;
+                        } else {
+                            $subtag = chr((self::CLASS_CONTEXT_SPECIFIC << 6) | (ord($temp[0]) & 0x20) | $child['constant']);
+                            $temp = $subtag . substr($temp, 1);
+                        }
+                    }
+                }
+
+                if (isset($idx)) {
+                    array_pop(self::$location);
+                }
+
+                if ($temp && isset($mapping['cast'])) {
+                    $temp[0] = chr(($mapping['class'] << 6) | ($tag & 0x20) | $mapping['cast']);
+                }
+
+                return $temp;
+            case self::TYPE_INTEGER:
+            case self::TYPE_ENUMERATED:
+                if (!isset($mapping['mapping'])) {
+                    if (is_numeric($source)) {
+                        $source = new BigInteger($source);
+                    }
+                    $value = $source->toBytes(true);
+                } else {
+                    $value = array_search($source, $mapping['mapping']);
+                    if ($value === false) {
+                        return false;
+                    }
+                    $value = new BigInteger($value);
+                    $value = $value->toBytes(true);
+                }
+                if (!strlen($value)) {
+                    $value = chr(0);
+                }
+                break;
+            case self::TYPE_UTC_TIME:
+            case self::TYPE_GENERALIZED_TIME:
+                $format = $mapping['type'] == self::TYPE_UTC_TIME ? 'y' : 'Y';
+                $format.= 'mdHis';
+                $date = new DateTime($source, new DateTimeZone('GMT'));
+                $value = $date->format($format) . 'Z';
+                break;
+            case self::TYPE_BIT_STRING:
+                if (isset($mapping['mapping'])) {
+                    $bits = array_fill(0, count($mapping['mapping']), 0);
+                    $size = 0;
+                    for ($i = 0; $i < count($mapping['mapping']); $i++) {
+                        if (in_array($mapping['mapping'][$i], $source)) {
+                            $bits[$i] = 1;
+                            $size = $i;
+                        }
+                    }
+
+                    if (isset($mapping['min']) && $mapping['min'] >= 1 && $size < $mapping['min']) {
+                        $size = $mapping['min'] - 1;
+                    }
+
+                    $offset = 8 - (($size + 1) & 7);
+                    $offset = $offset !== 8 ? $offset : 0;
+
+                    $value = chr($offset);
+
+                    for ($i = $size + 1; $i < count($mapping['mapping']); $i++) {
+                        unset($bits[$i]);
+                    }
+
+                    $bits = implode('', array_pad($bits, $size + $offset + 1, 0));
+                    $bytes = explode(' ', rtrim(chunk_split($bits, 8, ' ')));
+                    foreach ($bytes as $byte) {
+                        $value.= chr(bindec($byte));
+                    }
+
+                    break;
+                }
+            case self::TYPE_OCTET_STRING:
+                /* The initial octet shall encode, as an unsigned binary integer with bit 1 as the least significant bit,
+                   the number of unused bits in the final subsequent octet. The number shall be in the range zero to seven.
+
+                   -- http://www.itu.int/ITU-T/studygroups/com17/languages/X.690-0207.pdf#page=16 */
+                $value = $source;
+                break;
+            case self::TYPE_OBJECT_IDENTIFIER:
+                $value = self::encodeOID($source);
+                break;
+            case self::TYPE_ANY:
+                $loc = self::$location;
+                if (isset($idx)) {
+                    array_pop(self::$location);
+                }
+
+                switch (true) {
+                    case !isset($source):
+                        return self::encode_der(null, ['type' => self::TYPE_NULL] + $mapping, null, $special);
+                    case is_int($source):
+                    case $source instanceof BigInteger:
+                        return self::encode_der($source, ['type' => self::TYPE_INTEGER] + $mapping, null, $special);
+                    case is_float($source):
+                        return self::encode_der($source, ['type' => self::TYPE_REAL] + $mapping, null, $special);
+                    case is_bool($source):
+                        return self::encode_der($source, ['type' => self::TYPE_BOOLEAN] + $mapping, null, $special);
+                    case is_array($source) && count($source) == 1:
+                        $typename = implode('', array_keys($source));
+                        $outtype = array_search($typename, self::ANY_MAP, true);
+                        if ($outtype !== false) {
+                            return self::encode_der($source[$typename], ['type' => $outtype] + $mapping, null, $special);
+                        }
+                }
+
+                $filters = self::$filters;
+                foreach ($loc as $part) {
+                    if (!isset($filters[$part])) {
+                        $filters = false;
+                        break;
+                    }
+                    $filters = $filters[$part];
+                }
+                if ($filters === false) {
+                    throw new \RuntimeException('No filters defined for ' . implode('/', $loc));
+                }
+                return self::encode_der($source, $filters + $mapping, null, $special);
+            case self::TYPE_NULL:
+                $value = '';
+                break;
+            case self::TYPE_NUMERIC_STRING:
+            case self::TYPE_TELETEX_STRING:
+            case self::TYPE_PRINTABLE_STRING:
+            case self::TYPE_UNIVERSAL_STRING:
+            case self::TYPE_UTF8_STRING:
+            case self::TYPE_BMP_STRING:
+            case self::TYPE_IA5_STRING:
+            case self::TYPE_VISIBLE_STRING:
+            case self::TYPE_VIDEOTEX_STRING:
+            case self::TYPE_GRAPHIC_STRING:
+            case self::TYPE_GENERAL_STRING:
+                $value = $source;
+                break;
+            case self::TYPE_BOOLEAN:
+                $value = $source ? "\xFF" : "\x00";
+                break;
+            default:
+                throw new \RuntimeException('Mapping provides no type definition for ' . implode('/', self::$location));
+        }
+
+        if (isset($idx)) {
+            array_pop(self::$location);
+        }
+
+        if (isset($mapping['cast'])) {
+            if (isset($mapping['explicit']) || $mapping['type'] == self::TYPE_CHOICE) {
+                $value = chr($tag) . self::encodeLength(strlen($value)) . $value;
+                $tag = ($mapping['class'] << 6) | 0x20 | $mapping['cast'];
+            } else {
+                $tag = ($mapping['class'] << 6) | (ord($temp[0]) & 0x20) | $mapping['cast'];
+            }
+        }
+
+        return chr($tag) . self::encodeLength(strlen($value)) . $value;
+    }
+
+    /**
+     * BER-decode the OID
+     *
+     * Called by _decode_ber()
+     *
+     * @access public
+     * @param string $content
+     * @return string
+     */
+    public static function decodeOID($content)
+    {
+        static $eighty;
+        if (!$eighty) {
+            $eighty = new BigInteger(80);
+        }
+
+        $oid = array();
+        $pos = 0;
+        $len = strlen($content);
+        $n = new BigInteger();
+        while ($pos < $len) {
+            $temp = ord($content[$pos++]);
+            $n = $n->bitwise_leftShift(7);
+            $n = $n->bitwise_or(new BigInteger($temp & 0x7F));
+            if (~$temp & 0x80) {
+                $oid[] = $n;
+                $n = new BigInteger();
+            }
+        }
+        $part1 = array_shift($oid);
+        $first = floor(ord($content[0]) / 40);
+        /*
+          "This packing of the first two object identifier components recognizes that only three values are allocated from the root
+           node, and at most 39 subsequent values from nodes reached by X = 0 and X = 1."
+
+          -- https://www.itu.int/ITU-T/studygroups/com17/languages/X.690-0207.pdf#page=22
+        */
+        if ($first <= 2) { // ie. 0 <= ord($content[0]) < 120 (0x78)
+            array_unshift($oid, ord($content[0]) % 40);
+            array_unshift($oid, $first);
+        } else {
+            array_unshift($oid, $part1->subtract($eighty));
+            array_unshift($oid, 2);
+        }
+
+        return implode('.', $oid);
+    }
+
+    /**
+     * DER-encode the OID
+     *
+     * Called by _encode_der()
+     *
+     * @access public
+     * @param string $source
+     * @return string
+     */
+    public static function encodeOID($source)
+    {
+        static $mask, $zero, $forty;
+        if (!$mask) {
+            $mask = new BigInteger(0x7F);
+            $zero = new BigInteger();
+            $forty = new BigInteger(40);
+        }
+
+        if (!preg_match('#(?:\d+\.)+#', $source)) {
+            $oid = isset(self::$reverseOIDs[$source]) ? self::$reverseOIDs[$source] : false;
+        } else {
+            $oid = $source;
+        }
+        if ($oid === false) {
+            throw new \RuntimeException('Invalid OID');
+        }
+
+        $parts = explode('.', $oid);
+        $part1 = array_shift($parts);
+        $part2 = array_shift($parts);
+
+        $first = new BigInteger($part1);
+        $first = $first->multiply($forty);
+        $first = $first->add(new BigInteger($part2));
+
+        array_unshift($parts, $first->toString());
+
+        $value = '';
+        foreach ($parts as $part) {
+            if (!$part) {
+                $temp = "\0";
+            } else {
+                $temp = '';
+                $part = new BigInteger($part);
+                while (!$part->equals($zero)) {
+                    $submask = $part->bitwise_and($mask);
+                    $submask->setPrecision(8);
+                    $temp = (chr(0x80) | $submask->toBytes()) . $temp;
+                    $part = $part->bitwise_rightShift(7);
+                }
+                $temp[strlen($temp) - 1] = $temp[strlen($temp) - 1] & chr(0x7F);
+            }
+            $value.= $temp;
+        }
+
+        return $value;
+    }
+
+    /**
+     * BER-decode the time
+     *
+     * Called by _decode_ber() and in the case of implicit tags asn1map().
+     *
+     * @access private
+     * @param string $content
+     * @param int $tag
+     * @return string
+     */
+    private static function decodeTime($content, $tag)
+    {
+        /* UTCTime:
+           http://tools.ietf.org/html/rfc5280#section-4.1.2.5.1
+           http://www.obj-sys.com/asn1tutorial/node15.html
+
+           GeneralizedTime:
+           http://tools.ietf.org/html/rfc5280#section-4.1.2.5.2
+           http://www.obj-sys.com/asn1tutorial/node14.html */
+
+        $format = 'YmdHis';
+
+        if ($tag == self::TYPE_UTC_TIME) {
+            // https://www.itu.int/ITU-T/studygroups/com17/languages/X.690-0207.pdf#page=28 says "the seconds
+            // element shall always be present" but none-the-less I've seen X509 certs where it isn't and if the
+            // browsers parse it phpseclib ought to too
+            if (preg_match('#^(\d{10})(Z|[+-]\d{4})$#', $content, $matches)) {
+                $content = $matches[1] . '00' . $matches[2];
+            }
+            $prefix = substr($content, 0, 2) >= 50 ? '19' : '20';
+            $content = $prefix . $content;
+        } elseif (strpos($content, '.') !== false) {
+            $format.= '.u';
+        }
+
+        if ($content[strlen($content) - 1] == 'Z') {
+            $content = substr($content, 0, -1) . '+0000';
+        }
+
+        if (strpos($content, '-') !== false || strpos($content, '+') !== false) {
+            $format.= 'O';
+        }
+
+        // error supression isn't necessary as of PHP 7.0:
+        // http://php.net/manual/en/migration70.other-changes.php
+        return @DateTime::createFromFormat($format, $content);
+    }
+
+    /**
+     * Set the time format
+     *
+     * Sets the time / date format for asn1map().
+     *
+     * @access public
+     * @param string $format
+     */
+    public static function setTimeFormat($format)
+    {
+        self::$format = $format;
+    }
+
+    /**
+     * Load OIDs
+     *
+     * Load the relevant OIDs for a particular ASN.1 semantic mapping.
+     * Previously loaded OIDs are retained.
+     *
+     * @access public
+     * @param array $oids
+     */
+    public static function loadOIDs($oids)
+    {
+        self::$reverseOIDs+= $oids;
+        self::$oids = array_flip(self::$reverseOIDs);
+    }
+
+    /**
+     * Set filters
+     *
+     * See \phpseclib3\File\X509, etc, for an example.
+     * Previously loaded filters are not retained.
+     *
+     * @access public
+     * @param array $filters
+     */
+    public static function setFilters($filters)
+    {
+        self::$filters = $filters;
+    }
+
+    /**
+     * String type conversion
+     *
+     * This is a lazy conversion, dealing only with character size.
+     * No real conversion table is used.
+     *
+     * @param string $in
+     * @param int $from
+     * @param int $to
+     * @return string
+     * @access public
+     */
+    public static function convert($in, $from = self::TYPE_UTF8_STRING, $to = self::TYPE_UTF8_STRING)
+    {
+        // isset(self::STRING_TYPE_SIZE[$from] returns a fatal error on PHP 5.6
+        if (!array_key_exists($from, self::STRING_TYPE_SIZE) || !array_key_exists($to, self::STRING_TYPE_SIZE)) {
+            return false;
+        }
+        $insize = self::STRING_TYPE_SIZE[$from];
+        $outsize = self::STRING_TYPE_SIZE[$to];
+        $inlength = strlen($in);
+        $out = '';
+
+        for ($i = 0; $i < $inlength;) {
+            if ($inlength - $i < $insize) {
+                return false;
+            }
+
+            // Get an input character as a 32-bit value.
+            $c = ord($in[$i++]);
+            switch (true) {
+                case $insize == 4:
+                    $c = ($c << 8) | ord($in[$i++]);
+                    $c = ($c << 8) | ord($in[$i++]);
+                case $insize == 2:
+                    $c = ($c << 8) | ord($in[$i++]);
+                case $insize == 1:
+                    break;
+                case ($c & 0x80) == 0x00:
+                    break;
+                case ($c & 0x40) == 0x00:
+                    return false;
+                default:
+                    $bit = 6;
+                    do {
+                        if ($bit > 25 || $i >= $inlength || (ord($in[$i]) & 0xC0) != 0x80) {
+                            return false;
+                        }
+                        $c = ($c << 6) | (ord($in[$i++]) & 0x3F);
+                        $bit += 5;
+                        $mask = 1 << $bit;
+                    } while ($c & $bit);
+                    $c &= $mask - 1;
+                    break;
+            }
+
+            // Convert and append the character to output string.
+            $v = '';
+            switch (true) {
+                case $outsize == 4:
+                    $v .= chr($c & 0xFF);
+                    $c >>= 8;
+                    $v .= chr($c & 0xFF);
+                    $c >>= 8;
+                case $outsize == 2:
+                    $v .= chr($c & 0xFF);
+                    $c >>= 8;
+                case $outsize == 1:
+                    $v .= chr($c & 0xFF);
+                    $c >>= 8;
+                    if ($c) {
+                        return false;
+                    }
+                    break;
+                case ($c & 0x80000000) != 0:
+                    return false;
+                case $c >= 0x04000000:
+                    $v .= chr(0x80 | ($c & 0x3F));
+                    $c = ($c >> 6) | 0x04000000;
+                case $c >= 0x00200000:
+                    $v .= chr(0x80 | ($c & 0x3F));
+                    $c = ($c >> 6) | 0x00200000;
+                case $c >= 0x00010000:
+                    $v .= chr(0x80 | ($c & 0x3F));
+                    $c = ($c >> 6) | 0x00010000;
+                case $c >= 0x00000800:
+                    $v .= chr(0x80 | ($c & 0x3F));
+                    $c = ($c >> 6) | 0x00000800;
+                case $c >= 0x00000080:
+                    $v .= chr(0x80 | ($c & 0x3F));
+                    $c = ($c >> 6) | 0x000000C0;
+                default:
+                    $v .= chr($c);
+                    break;
+            }
+            $out .= strrev($v);
+        }
+        return $out;
+    }
+
+    /**
+     * Extract raw BER from Base64 encoding
+     *
+     * @access private
+     * @param string $str
+     * @return string
+     */
+    public static function extractBER($str)
+    {
+        /* X.509 certs are assumed to be base64 encoded but sometimes they'll have additional things in them
+         * above and beyond the ceritificate.
+         * ie. some may have the following preceding the -----BEGIN CERTIFICATE----- line:
+         *
+         * Bag Attributes
+         *     localKeyID: 01 00 00 00
+         * subject=/O=organization/OU=org unit/CN=common name
+         * issuer=/O=organization/CN=common name
+         */
+        if (strlen($str) > ini_get('pcre.backtrack_limit')) {
+            $temp = $str;
+        } else {
+            $temp = preg_replace('#.*?^-+[^-]+-+[\r\n ]*$#ms', '', $str, 1);
+            $temp = preg_replace('#-+END.*[\r\n ]*.*#ms', '', $str, 1);
+        }
+        // remove new lines
+        $temp = str_replace(["\r", "\n", ' '], '', $temp);
+        // remove the -----BEGIN CERTIFICATE----- and -----END CERTIFICATE----- stuff
+        $temp = preg_replace('#^-+[^-]+-+|-+[^-]+-+$#', '', $temp);
+        $temp = preg_match('#^[a-zA-Z\d/+]*={0,2}$#', $temp) ? Base64::decode($temp) : false;
+        return $temp != false ? $temp : $str;
+    }
+
+    /**
+     * DER-encode the length
+     *
+     * DER supports lengths up to (2**8)**127, however, we'll only support lengths up to (2**8)**4.  See
+     * {@link http://itu.int/ITU-T/studygroups/com17/languages/X.690-0207.pdf#p=13 X.690 paragraph 8.1.3} for more information.
+     *
+     * @access public
+     * @param int $length
+     * @return string
+     */
+    public static function encodeLength($length)
+    {
+        if ($length <= 0x7F) {
+            return chr($length);
+        }
+
+        $temp = ltrim(pack('N', $length), chr(0));
+        return pack('Ca*', 0x80 | strlen($temp), $temp);
+    }
+
+    /**
+     * Returns the OID corresponding to a name
+     *
+     * What's returned in the associative array returned by loadX509() (or load*()) is either a name or an OID if
+     * no OID to name mapping is available. The problem with this is that what may be an unmapped OID in one version
+     * of phpseclib may not be unmapped in the next version, so apps that are looking at this OID may not be able
+     * to work from version to version.
+     *
+     * This method will return the OID if a name is passed to it and if no mapping is avialable it'll assume that
+     * what's being passed to it already is an OID and return that instead. A few examples.
+     *
+     * getOID('2.16.840.1.101.3.4.2.1') == '2.16.840.1.101.3.4.2.1'
+     * getOID('id-sha256') == '2.16.840.1.101.3.4.2.1'
+     * getOID('zzz') == 'zzz'
+     *
+     * @access public
+     * @param string $name
+     * @return string
+     */
+    public static function getOID($name)
+    {
+        return isset(self::$reverseOIDs[$name]) ? self::$reverseOIDs[$name] : $name;
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Element.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Element.php
new file mode 100644
index 000000000..ade26ae51
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Element.php
@@ -0,0 +1,49 @@
+<?php
+
+/**
+ * ASN.1 Raw Element
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2012 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1;
+
+/**
+ * ASN.1 Raw Element
+ *
+ * An ASN.1 ANY mapping will return an ASN1\Element object. Use of this object
+ * will also bypass the normal encoding rules in ASN1::encodeDER()
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class Element
+{
+    /**
+     * Raw element value
+     *
+     * @var string
+     * @access private
+     */
+    public $element;
+
+    /**
+     * Constructor
+     *
+     * @param string $encoded
+     * @return \phpseclib3\File\ASN1\Element
+     * @access public
+     */
+    public function __construct($encoded)
+    {
+        $this->element = $encoded;
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AccessDescription.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AccessDescription.php
new file mode 100644
index 000000000..969de8c44
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AccessDescription.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * AccessDescription
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * AccessDescription
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class AccessDescription
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'accessMethod'   => ['type' => ASN1::TYPE_OBJECT_IDENTIFIER],
+            'accessLocation' => GeneralName::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AdministrationDomainName.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AdministrationDomainName.php
new file mode 100644
index 000000000..1b607e7cd
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AdministrationDomainName.php
@@ -0,0 +1,40 @@
+<?php
+
+/**
+ * AdministrationDomainName
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * AdministrationDomainName
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class AdministrationDomainName
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_CHOICE,
+        // if class isn't present it's assumed to be \phpseclib3\File\ASN1::CLASS_UNIVERSAL or
+        // (if constant is present) \phpseclib3\File\ASN1::CLASS_CONTEXT_SPECIFIC
+        'class'    => ASN1::CLASS_APPLICATION,
+        'cast'     => 2,
+        'children' => [
+            'numeric'   => ['type' => ASN1::TYPE_NUMERIC_STRING],
+            'printable' => ['type' => ASN1::TYPE_PRINTABLE_STRING]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AlgorithmIdentifier.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AlgorithmIdentifier.php
new file mode 100644
index 000000000..f9f25334a
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AlgorithmIdentifier.php
@@ -0,0 +1,39 @@
+<?php
+
+/**
+ * AlgorithmIdentifier
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * AlgorithmIdentifier
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class AlgorithmIdentifier
+{
+    const MAP = [
+        'type' => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'algorithm'  => ['type' => ASN1::TYPE_OBJECT_IDENTIFIER],
+            'parameters' => [
+                'type'     => ASN1::TYPE_ANY,
+                'optional' => true
+             ]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AnotherName.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AnotherName.php
new file mode 100644
index 000000000..3fe2ba0bd
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AnotherName.php
@@ -0,0 +1,41 @@
+<?php
+
+/**
+ * AnotherName
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * AnotherName
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class AnotherName
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+             'type-id' => ['type' => ASN1::TYPE_OBJECT_IDENTIFIER],
+             'value'   => [
+                              'type' => ASN1::TYPE_ANY,
+                              'constant' => 0,
+                              'optional' => true,
+                              'explicit' => true
+                          ]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Attribute.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Attribute.php
new file mode 100644
index 000000000..a80dad31c
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Attribute.php
@@ -0,0 +1,41 @@
+<?php
+
+/**
+ * Attribute
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * Attribute
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Attribute
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'type' => AttributeType::MAP,
+            'value'=> [
+                  'type'     => ASN1::TYPE_SET,
+                  'min'      => 1,
+                  'max'      => -1,
+                  'children' => AttributeValue::MAP
+            ]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AttributeType.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AttributeType.php
new file mode 100644
index 000000000..891b80825
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AttributeType.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * AttributeType
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * AttributeType
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class AttributeType
+{
+    const MAP = ['type' => ASN1::TYPE_OBJECT_IDENTIFIER];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AttributeTypeAndValue.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AttributeTypeAndValue.php
new file mode 100644
index 000000000..ff4faa078
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AttributeTypeAndValue.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * AttributeTypeAndValue
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * AttributeTypeAndValue
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class AttributeTypeAndValue
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'type' => AttributeType::MAP,
+            'value'=> AttributeValue::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AttributeValue.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AttributeValue.php
new file mode 100644
index 000000000..eca03273c
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AttributeValue.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * AttributeValue
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * AttributeValue
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class AttributeValue
+{
+    const MAP = ['type' => ASN1::TYPE_ANY];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Attributes.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Attributes.php
new file mode 100644
index 000000000..563a69001
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Attributes.php
@@ -0,0 +1,35 @@
+<?php
+
+/**
+ * Attributes
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * Attributes
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Attributes
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SET,
+        'min'      => 1,
+        'max'      => -1,
+        'children' => Attribute::MAP
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AuthorityInfoAccessSyntax.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AuthorityInfoAccessSyntax.php
new file mode 100644
index 000000000..38c714d5a
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AuthorityInfoAccessSyntax.php
@@ -0,0 +1,35 @@
+<?php
+
+/**
+ * AuthorityInfoAccessSyntax
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * AuthorityInfoAccessSyntax
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class AuthorityInfoAccessSyntax
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'min'      => 1,
+        'max'      => -1,
+        'children' => AccessDescription::MAP
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AuthorityKeyIdentifier.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AuthorityKeyIdentifier.php
new file mode 100644
index 000000000..b6b08ae01
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/AuthorityKeyIdentifier.php
@@ -0,0 +1,49 @@
+<?php
+
+/**
+ * AuthorityKeyIdentifier
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * AuthorityKeyIdentifier
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class AuthorityKeyIdentifier
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'keyIdentifier'             => [
+                                             'constant' => 0,
+                                             'optional' => true,
+                                             'implicit' => true
+                                           ] + KeyIdentifier::MAP,
+            'authorityCertIssuer'       => [
+                                             'constant' => 1,
+                                             'optional' => true,
+                                             'implicit' => true
+                                           ] + GeneralNames::MAP,
+            'authorityCertSerialNumber' => [
+                                             'constant' => 2,
+                                             'optional' => true,
+                                             'implicit' => true
+                                           ] + CertificateSerialNumber::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/BaseDistance.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/BaseDistance.php
new file mode 100644
index 000000000..8453e49d9
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/BaseDistance.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * BaseDistance
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * BaseDistance
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class BaseDistance
+{
+    const MAP = ['type' => ASN1::TYPE_INTEGER];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/BasicConstraints.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/BasicConstraints.php
new file mode 100644
index 000000000..490bc9201
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/BasicConstraints.php
@@ -0,0 +1,43 @@
+<?php
+
+/**
+ * BasicConstraints
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * BasicConstraints
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class BasicConstraints
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'cA'                => [
+                                             'type'     => ASN1::TYPE_BOOLEAN,
+                                             'optional' => true,
+                                             'default'  => false
+                                   ],
+            'pathLenConstraint' => [
+                                             'type' => ASN1::TYPE_INTEGER,
+                                             'optional' => true
+                                   ]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/BuiltInDomainDefinedAttribute.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/BuiltInDomainDefinedAttribute.php
new file mode 100644
index 000000000..19f31c24a
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/BuiltInDomainDefinedAttribute.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * BuiltInDomainDefinedAttribute
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * BuiltInDomainDefinedAttribute
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class BuiltInDomainDefinedAttribute
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+             'type'  => ['type' => ASN1::TYPE_PRINTABLE_STRING],
+             'value' => ['type' => ASN1::TYPE_PRINTABLE_STRING]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/BuiltInDomainDefinedAttributes.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/BuiltInDomainDefinedAttributes.php
new file mode 100644
index 000000000..dc412118c
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/BuiltInDomainDefinedAttributes.php
@@ -0,0 +1,35 @@
+<?php
+
+/**
+ * BuiltInDomainDefinedAttributes
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * BuiltInDomainDefinedAttributes
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class BuiltInDomainDefinedAttributes
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'min'      => 1,
+        'max'      => 4, // ub-domain-defined-attributes
+        'children' => BuiltInDomainDefinedAttribute::MAP
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/BuiltInStandardAttributes.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/BuiltInStandardAttributes.php
new file mode 100644
index 000000000..4cbe0b09f
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/BuiltInStandardAttributes.php
@@ -0,0 +1,71 @@
+<?php
+
+/**
+ * BuiltInStandardAttributes
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * BuiltInStandardAttributes
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class BuiltInStandardAttributes
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'country-name'               => ['optional' => true] + CountryName::MAP,
+            'administration-domain-name' => ['optional' => true] + AdministrationDomainName::MAP,
+            'network-address'            => [
+                                             'constant' => 0,
+                                             'optional' => true,
+                                             'implicit' => true
+                                           ] + NetworkAddress::MAP,
+            'terminal-identifier'        => [
+                                             'constant' => 1,
+                                             'optional' => true,
+                                             'implicit' => true
+                                           ] + TerminalIdentifier::MAP,
+            'private-domain-name'        => [
+                                             'constant' => 2,
+                                             'optional' => true,
+                                             'explicit' => true
+                                           ] + PrivateDomainName::MAP,
+            'organization-name'          => [
+                                             'constant' => 3,
+                                             'optional' => true,
+                                             'implicit' => true
+                                           ] + OrganizationName::MAP,
+            'numeric-user-identifier'    => [
+                                             'constant' => 4,
+                                             'optional' => true,
+                                             'implicit' => true
+                                           ] + NumericUserIdentifier::MAP,
+            'personal-name'              => [
+                                             'constant' => 5,
+                                             'optional' => true,
+                                             'implicit' => true
+                                           ] + PersonalName::MAP,
+            'organizational-unit-names'  => [
+                                             'constant' => 6,
+                                             'optional' => true,
+                                             'implicit' => true
+                                           ] + OrganizationalUnitNames::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CPSuri.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CPSuri.php
new file mode 100644
index 000000000..78733df9a
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CPSuri.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * CPSuri
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * CPSuri
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class CPSuri
+{
+    const MAP = ['type' => ASN1::TYPE_IA5_STRING];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CRLDistributionPoints.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CRLDistributionPoints.php
new file mode 100644
index 000000000..21ab66236
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CRLDistributionPoints.php
@@ -0,0 +1,35 @@
+<?php
+
+/**
+ * CRLDistributionPoints
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * CRLDistributionPoints
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class CRLDistributionPoints
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'min'      => 1,
+        'max'      => -1,
+        'children' => DistributionPoint::MAP
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CRLNumber.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CRLNumber.php
new file mode 100644
index 000000000..921fdd529
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CRLNumber.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * CRLNumber
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * CRLNumber
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class CRLNumber
+{
+    const MAP = ['type' => ASN1::TYPE_INTEGER];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CRLReason.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CRLReason.php
new file mode 100644
index 000000000..e43e4dd75
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CRLReason.php
@@ -0,0 +1,45 @@
+<?php
+
+/**
+ * CRLReason
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * CRLReason
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class CRLReason
+{
+    const MAP = [
+        'type' => ASN1::TYPE_ENUMERATED,
+        'mapping' => [
+                        'unspecified',
+                        'keyCompromise',
+                        'cACompromise',
+                        'affiliationChanged',
+                        'superseded',
+                        'cessationOfOperation',
+                        'certificateHold',
+                        // Value 7 is not used.
+                        8 => 'removeFromCRL',
+                        'privilegeWithdrawn',
+                        'aACompromise'
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CertPolicyId.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CertPolicyId.php
new file mode 100644
index 000000000..a4620e7d0
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CertPolicyId.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * CertPolicyId
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * CertPolicyId
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class CertPolicyId
+{
+    const MAP = ['type' => ASN1::TYPE_OBJECT_IDENTIFIER];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Certificate.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Certificate.php
new file mode 100644
index 000000000..f8ff4130f
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Certificate.php
@@ -0,0 +1,37 @@
+<?php
+
+/**
+ * Certificate
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * Certificate
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Certificate
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+             'tbsCertificate'     => TBSCertificate::MAP,
+             'signatureAlgorithm' => AlgorithmIdentifier::MAP,
+             'signature'          => ['type' => ASN1::TYPE_BIT_STRING]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CertificateIssuer.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CertificateIssuer.php
new file mode 100644
index 000000000..ba4504afc
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CertificateIssuer.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * CertificateIssuer
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * CertificateIssuer
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class CertificateIssuer
+{
+    const MAP = GeneralNames::MAP;
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CertificateList.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CertificateList.php
new file mode 100644
index 000000000..79a1f3242
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CertificateList.php
@@ -0,0 +1,37 @@
+<?php
+
+/**
+ * CertificateList
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * CertificateList
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class CertificateList
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'tbsCertList'        => TBSCertList::MAP,
+            'signatureAlgorithm' => AlgorithmIdentifier::MAP,
+            'signature'          => ['type' => ASN1::TYPE_BIT_STRING]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CertificatePolicies.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CertificatePolicies.php
new file mode 100644
index 000000000..e9f9354af
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CertificatePolicies.php
@@ -0,0 +1,35 @@
+<?php
+
+/**
+ * CertificatePolicies
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * CertificatePolicies
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class CertificatePolicies
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'min'      => 1,
+        'max'      => -1,
+        'children' => PolicyInformation::MAP
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CertificateSerialNumber.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CertificateSerialNumber.php
new file mode 100644
index 000000000..83f26d311
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CertificateSerialNumber.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * CertificateSerialNumber
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * CertificateSerialNumber
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class CertificateSerialNumber
+{
+    const MAP = ['type' => ASN1::TYPE_INTEGER];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CertificationRequest.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CertificationRequest.php
new file mode 100644
index 000000000..23587f087
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CertificationRequest.php
@@ -0,0 +1,37 @@
+<?php
+
+/**
+ * CertificationRequest
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * CertificationRequest
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class CertificationRequest
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'certificationRequestInfo' => CertificationRequestInfo::MAP,
+            'signatureAlgorithm'       => AlgorithmIdentifier::MAP,
+            'signature'                => ['type' => ASN1::TYPE_BIT_STRING]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CertificationRequestInfo.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CertificationRequestInfo.php
new file mode 100644
index 000000000..1ebff5ff6
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CertificationRequestInfo.php
@@ -0,0 +1,45 @@
+<?php
+
+/**
+ * CertificationRequestInfo
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * CertificationRequestInfo
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class CertificationRequestInfo
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'version'       => [
+                                   'type' => ASN1::TYPE_INTEGER,
+                                   'mapping' => ['v1']
+                               ],
+            'subject'       => Name::MAP,
+            'subjectPKInfo' => SubjectPublicKeyInfo::MAP,
+            'attributes'    => [
+                                   'constant' => 0,
+                                   'optional' => true,
+                                   'implicit' => true
+                               ] + Attributes::MAP,
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Characteristic_two.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Characteristic_two.php
new file mode 100644
index 000000000..b73e0ba2d
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Characteristic_two.php
@@ -0,0 +1,40 @@
+<?php
+
+/**
+ * Characteristic_two
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * Characteristic_two
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Characteristic_two
+{
+    const MAP = [
+        'type' => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'm' => ['type' => ASN1::TYPE_INTEGER], // field size 2**m
+            'basis' => ['type' => ASN1::TYPE_OBJECT_IDENTIFIER],
+            'parameters' => [
+                'type' => ASN1::TYPE_ANY,
+                'optional' => true
+            ]
+        ]
+    ];
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CountryName.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CountryName.php
new file mode 100644
index 000000000..83b3a2c3f
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/CountryName.php
@@ -0,0 +1,40 @@
+<?php
+
+/**
+ * CountryName
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * CountryName
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class CountryName
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_CHOICE,
+        // if class isn't present it's assumed to be \phpseclib3\File\ASN1::CLASS_UNIVERSAL or
+        // (if constant is present) \phpseclib3\File\ASN1::CLASS_CONTEXT_SPECIFIC
+        'class'    => ASN1::CLASS_APPLICATION,
+        'cast'     => 1,
+        'children' => [
+            'x121-dcc-code'        => ['type' => ASN1::TYPE_NUMERIC_STRING],
+            'iso-3166-alpha2-code' => ['type' => ASN1::TYPE_PRINTABLE_STRING]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Curve.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Curve.php
new file mode 100644
index 000000000..1a574583b
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Curve.php
@@ -0,0 +1,40 @@
+<?php
+
+/**
+ * Curve
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * Curve
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Curve
+{
+    const MAP = [
+        'type' => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'a' => FieldElement::MAP,
+            'b' => FieldElement::MAP,
+            'seed' => [
+                'type' => ASN1::TYPE_BIT_STRING,
+                'optional' => true
+            ]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DHParameter.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DHParameter.php
new file mode 100644
index 000000000..8edd9d06b
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DHParameter.php
@@ -0,0 +1,42 @@
+<?php
+
+/**
+ * DHParameter
+ *
+ * From: https://www.teletrust.de/fileadmin/files/oid/oid_pkcs-3v1-4.pdf#page=6
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * DHParameter
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class DHParameter
+{
+    const MAP = [
+        'type' => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'prime' => ['type' => ASN1::TYPE_INTEGER],
+            'base' =>  ['type' => ASN1::TYPE_INTEGER],
+            'privateValueLength' => [
+                'type' => ASN1::TYPE_INTEGER,
+                'optional' => true
+            ]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DSAParams.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DSAParams.php
new file mode 100644
index 000000000..c89fd84b4
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DSAParams.php
@@ -0,0 +1,37 @@
+<?php
+
+/**
+ * DSAParams
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * DSAParams
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class DSAParams
+{
+    const MAP = [
+        'type' => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'p' => ['type' => ASN1::TYPE_INTEGER],
+            'q' => ['type' => ASN1::TYPE_INTEGER],
+            'g' => ['type' => ASN1::TYPE_INTEGER]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DSAPrivateKey.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DSAPrivateKey.php
new file mode 100644
index 000000000..eaec347da
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DSAPrivateKey.php
@@ -0,0 +1,40 @@
+<?php
+
+/**
+ * DSAPrivateKey
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * DSAPrivateKey
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class DSAPrivateKey
+{
+    const MAP = [
+        'type' => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'version' => ['type' => ASN1::TYPE_INTEGER],
+            'p' => ['type' => ASN1::TYPE_INTEGER],
+            'q' => ['type' => ASN1::TYPE_INTEGER],
+            'g' => ['type' => ASN1::TYPE_INTEGER],
+            'y' => ['type' => ASN1::TYPE_INTEGER],
+            'x' => ['type' => ASN1::TYPE_INTEGER]
+        ]
+    ];
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DSAPublicKey.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DSAPublicKey.php
new file mode 100644
index 000000000..867d80b7d
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DSAPublicKey.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * DSAPublicKey
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * DSAPublicKey
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class DSAPublicKey
+{
+    const MAP = ['type' => ASN1::TYPE_INTEGER];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DigestInfo.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DigestInfo.php
new file mode 100644
index 000000000..828c27989
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DigestInfo.php
@@ -0,0 +1,38 @@
+<?php
+
+/**
+ * DigestInfo
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * DigestInfo
+ *
+ * from https://tools.ietf.org/html/rfc2898#appendix-A.3
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class DigestInfo
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'digestAlgorithm' => AlgorithmIdentifier::MAP,
+            'digest' => ['type' => ASN1::TYPE_OCTET_STRING]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DirectoryString.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DirectoryString.php
new file mode 100644
index 000000000..458acab19
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DirectoryString.php
@@ -0,0 +1,39 @@
+<?php
+
+/**
+ * DirectoryString
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * DirectoryString
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class DirectoryString
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_CHOICE,
+        'children' => [
+            'teletexString'   => ['type' => ASN1::TYPE_TELETEX_STRING],
+            'printableString' => ['type' => ASN1::TYPE_PRINTABLE_STRING],
+            'universalString' => ['type' => ASN1::TYPE_UNIVERSAL_STRING],
+            'utf8String'      => ['type' => ASN1::TYPE_UTF8_STRING],
+            'bmpString'       => ['type' => ASN1::TYPE_BMP_STRING]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DisplayText.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DisplayText.php
new file mode 100644
index 000000000..6c88b41cb
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DisplayText.php
@@ -0,0 +1,38 @@
+<?php
+
+/**
+ * DisplayText
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * DisplayText
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class DisplayText
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_CHOICE,
+        'children' => [
+            'ia5String'     => ['type' => ASN1::TYPE_IA5_STRING],
+            'visibleString' => ['type' => ASN1::TYPE_VISIBLE_STRING],
+            'bmpString'     => ['type' => ASN1::TYPE_BMP_STRING],
+            'utf8String'    => ['type' => ASN1::TYPE_UTF8_STRING]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DistributionPoint.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DistributionPoint.php
new file mode 100644
index 000000000..91b3feef5
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DistributionPoint.php
@@ -0,0 +1,49 @@
+<?php
+
+/**
+ * DistributionPoint
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * DistributionPoint
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class DistributionPoint
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'distributionPoint' => [
+                                             'constant' => 0,
+                                             'optional' => true,
+                                             'explicit' => true
+                                   ] + DistributionPointName::MAP,
+            'reasons'           => [
+                                             'constant' => 1,
+                                             'optional' => true,
+                                             'implicit' => true
+                                   ] + ReasonFlags::MAP,
+            'cRLIssuer'         => [
+                                             'constant' => 2,
+                                             'optional' => true,
+                                             'implicit' => true
+                                   ] + GeneralNames::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DistributionPointName.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DistributionPointName.php
new file mode 100644
index 000000000..fc157bcae
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DistributionPointName.php
@@ -0,0 +1,44 @@
+<?php
+
+/**
+ * DistributionPointName
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * DistributionPointName
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class DistributionPointName
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_CHOICE,
+        'children' => [
+            'fullName'                => [
+                                             'constant' => 0,
+                                             'optional' => true,
+                                             'implicit' => true
+                                   ] + GeneralNames::MAP,
+            'nameRelativeToCRLIssuer' => [
+                                             'constant' => 1,
+                                             'optional' => true,
+                                             'implicit' => true
+                                   ] + RelativeDistinguishedName::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DssSigValue.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DssSigValue.php
new file mode 100644
index 000000000..1bffe9253
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/DssSigValue.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * DssSigValue
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * DssSigValue
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class DssSigValue
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'r' => ['type' => ASN1::TYPE_INTEGER],
+            's' => ['type' => ASN1::TYPE_INTEGER]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ECParameters.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ECParameters.php
new file mode 100644
index 000000000..c27d16f9e
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ECParameters.php
@@ -0,0 +1,49 @@
+<?php
+
+/**
+ * ECParameters
+ *
+ * From: https://tools.ietf.org/html/rfc5915
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * ECParameters
+ *
+ *  ECParameters ::= CHOICE {
+ *    namedCurve         OBJECT IDENTIFIER
+ *    -- implicitCurve   NULL
+ *    -- specifiedCurve  SpecifiedECDomain
+ *  }
+ *    -- implicitCurve and specifiedCurve MUST NOT be used in PKIX.
+ *    -- Details for SpecifiedECDomain can be found in [X9.62].
+ *    -- Any future additions to this CHOICE should be coordinated
+ *    -- with ANSI X9.
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class ECParameters
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_CHOICE,
+        'children' => [
+            'namedCurve' => ['type' => ASN1::TYPE_OBJECT_IDENTIFIER],
+            'implicitCurve' => ['type' => ASN1::TYPE_NULL],
+            'specifiedCurve' => SpecifiedECDomain::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ECPoint.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ECPoint.php
new file mode 100644
index 000000000..1a9429a44
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ECPoint.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * ECPoint
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * ECPoint
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class ECPoint
+{
+    const MAP = ['type' => ASN1::TYPE_OCTET_STRING];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ECPrivateKey.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ECPrivateKey.php
new file mode 100644
index 000000000..a0d7a066c
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ECPrivateKey.php
@@ -0,0 +1,52 @@
+<?php
+
+/**
+ * ECPrivateKey
+ *
+ * From: https://tools.ietf.org/html/rfc5915
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * ECPrivateKey
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class ECPrivateKey
+{
+    const MAP = [
+        'type' => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'version' => [
+                'type' => ASN1::TYPE_INTEGER,
+                'mapping' => [1 => 'ecPrivkeyVer1']
+            ],
+            'privateKey' => ['type' => ASN1::TYPE_OCTET_STRING],
+            'parameters' => [
+                'constant' => 0,
+                'optional' => true,
+                'explicit' => true
+            ] + ECParameters::MAP,
+            'publicKey' => [
+                'type' => ASN1::TYPE_BIT_STRING,
+                'constant' => 1,
+                'optional' => true,
+                'explicit' => true
+            ]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/EDIPartyName.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/EDIPartyName.php
new file mode 100644
index 000000000..0c2327b8e
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/EDIPartyName.php
@@ -0,0 +1,46 @@
+<?php
+
+/**
+ * EDIPartyName
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * EDIPartyName
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class EDIPartyName
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+             'nameAssigner' => [
+                                'constant' => 0,
+                                'optional' => true,
+                                'implicit' => true
+                            ] + DirectoryString::MAP,
+             // partyName is technically required but \phpseclib3\File\ASN1 doesn't currently support non-optional constants and
+             // setting it to optional gets the job done in any event.
+             'partyName'    => [
+                                'constant' => 1,
+                                'optional' => true,
+                                'implicit' => true
+                            ] + DirectoryString::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/EcdsaSigValue.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/EcdsaSigValue.php
new file mode 100644
index 000000000..98dd965aa
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/EcdsaSigValue.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * EcdsaSigValue
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * EcdsaSigValue
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class EcdsaSigValue
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'r' => ['type' => ASN1::TYPE_INTEGER],
+            's' => ['type' => ASN1::TYPE_INTEGER]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/EncryptedData.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/EncryptedData.php
new file mode 100644
index 000000000..7873579fd
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/EncryptedData.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * EncryptedData
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * EncryptedData
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class EncryptedData
+{
+    const MAP = ['type' => ASN1::TYPE_OCTET_STRING];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/EncryptedPrivateKeyInfo.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/EncryptedPrivateKeyInfo.php
new file mode 100644
index 000000000..5d409eb1a
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/EncryptedPrivateKeyInfo.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * EncryptedPrivateKeyInfo
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * EncryptedPrivateKeyInfo
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class EncryptedPrivateKeyInfo
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'encryptionAlgorithm' => AlgorithmIdentifier::MAP,
+            'encryptedData'       => EncryptedData::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ExtKeyUsageSyntax.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ExtKeyUsageSyntax.php
new file mode 100644
index 000000000..c61116df4
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ExtKeyUsageSyntax.php
@@ -0,0 +1,35 @@
+<?php
+
+/**
+ * ExtKeyUsageSyntax
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * ExtKeyUsageSyntax
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class ExtKeyUsageSyntax
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'min'      => 1,
+        'max'      => -1,
+        'children' => KeyPurposeId::MAP
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Extension.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Extension.php
new file mode 100644
index 000000000..392007938
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Extension.php
@@ -0,0 +1,47 @@
+<?php
+
+/**
+ * Extension
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * Extension
+ *
+ * A certificate using system MUST reject the certificate if it encounters
+ * a critical extension it does not recognize; however, a non-critical
+ * extension may be ignored if it is not recognized.
+ *
+ * http://tools.ietf.org/html/rfc5280#section-4.2
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Extension
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'extnId'   => ['type' => ASN1::TYPE_OBJECT_IDENTIFIER],
+            'critical' => [
+                              'type'     => ASN1::TYPE_BOOLEAN,
+                              'optional' => true,
+                              'default'  => false
+                          ],
+            'extnValue' => ['type' => ASN1::TYPE_OCTET_STRING]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ExtensionAttribute.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ExtensionAttribute.php
new file mode 100644
index 000000000..6455e1898
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ExtensionAttribute.php
@@ -0,0 +1,46 @@
+<?php
+
+/**
+ * ExtensionAttribute
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * ExtensionAttribute
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class ExtensionAttribute
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+             'extension-attribute-type'  => [
+                                                'type' => ASN1::TYPE_PRINTABLE_STRING,
+                                                'constant' => 0,
+                                                'optional' => true,
+                                                'implicit' => true
+                                            ],
+             'extension-attribute-value' => [
+                                                'type' => ASN1::TYPE_ANY,
+                                                'constant' => 1,
+                                                'optional' => true,
+                                                'explicit' => true
+                                            ]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ExtensionAttributes.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ExtensionAttributes.php
new file mode 100644
index 000000000..047bb29a4
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ExtensionAttributes.php
@@ -0,0 +1,35 @@
+<?php
+
+/**
+ * ExtensionAttributes
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * ExtensionAttributes
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class ExtensionAttributes
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SET,
+        'min'      => 1,
+        'max'      => 256, // ub-extension-attributes
+        'children' => ExtensionAttribute::MAP
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Extensions.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Extensions.php
new file mode 100644
index 000000000..e3d528d45
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Extensions.php
@@ -0,0 +1,37 @@
+<?php
+
+/**
+ * Extensions
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * Extensions
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Extensions
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'min'      => 1,
+        // technically, it's MAX, but we'll assume anything < 0 is MAX
+        'max'      => -1,
+        // if 'children' isn't an array then 'min' and 'max' must be defined
+        'children' => Extension::MAP
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/FieldElement.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/FieldElement.php
new file mode 100644
index 000000000..6666e2ade
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/FieldElement.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * FieldElement
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * FieldElement
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class FieldElement
+{
+    const MAP = ['type' => ASN1::TYPE_OCTET_STRING];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/FieldID.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/FieldID.php
new file mode 100644
index 000000000..13c6ac490
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/FieldID.php
@@ -0,0 +1,39 @@
+<?php
+
+/**
+ * FieldID
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * FieldID
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class FieldID
+{
+    const MAP = [
+        'type' => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'fieldType' => ['type' => ASN1::TYPE_OBJECT_IDENTIFIER],
+            'parameters' => [
+                'type' => ASN1::TYPE_ANY,
+                'optional' => true
+            ]
+        ]
+    ];
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/GeneralName.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/GeneralName.php
new file mode 100644
index 000000000..ba0b9e484
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/GeneralName.php
@@ -0,0 +1,84 @@
+<?php
+
+/**
+ * GeneralName
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * GeneralName
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class GeneralName
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_CHOICE,
+        'children' => [
+            'otherName'                 => [
+                                             'constant' => 0,
+                                             'optional' => true,
+                                             'implicit' => true
+                                           ] + AnotherName::MAP,
+            'rfc822Name'                => [
+                                             'type' => ASN1::TYPE_IA5_STRING,
+                                             'constant' => 1,
+                                             'optional' => true,
+                                             'implicit' => true
+                                           ],
+            'dNSName'                   => [
+                                             'type' => ASN1::TYPE_IA5_STRING,
+                                             'constant' => 2,
+                                             'optional' => true,
+                                             'implicit' => true
+                                           ],
+            'x400Address'               => [
+                                             'constant' => 3,
+                                             'optional' => true,
+                                             'implicit' => true
+                                           ] + ORAddress::MAP,
+            'directoryName'             => [
+                                             'constant' => 4,
+                                             'optional' => true,
+                                             'explicit' => true
+                                           ] + Name::MAP,
+            'ediPartyName'              => [
+                                             'constant' => 5,
+                                             'optional' => true,
+                                             'implicit' => true
+                                           ] + EDIPartyName::MAP,
+            'uniformResourceIdentifier' => [
+                                             'type' => ASN1::TYPE_IA5_STRING,
+                                             'constant' => 6,
+                                             'optional' => true,
+                                             'implicit' => true
+                                           ],
+            'iPAddress'                 => [
+                                             'type' => ASN1::TYPE_OCTET_STRING,
+                                             'constant' => 7,
+                                             'optional' => true,
+                                             'implicit' => true
+                                           ],
+            'registeredID'              => [
+                                             'type' => ASN1::TYPE_OBJECT_IDENTIFIER,
+                                             'constant' => 8,
+                                             'optional' => true,
+                                             'implicit' => true
+                                           ]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/GeneralNames.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/GeneralNames.php
new file mode 100644
index 000000000..c8a3c89bd
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/GeneralNames.php
@@ -0,0 +1,35 @@
+<?php
+
+/**
+ * GeneralNames
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * GeneralNames
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class GeneralNames
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'min'      => 1,
+        'max'      => -1,
+        'children' => GeneralName::MAP
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/GeneralSubtree.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/GeneralSubtree.php
new file mode 100644
index 000000000..15d954304
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/GeneralSubtree.php
@@ -0,0 +1,46 @@
+<?php
+
+/**
+ * GeneralSubtree
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * GeneralSubtree
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class GeneralSubtree
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'base'    => GeneralName::MAP,
+            'minimum' => [
+                             'constant' => 0,
+                             'optional' => true,
+                             'implicit' => true,
+                             'default' => '0'
+                         ] + BaseDistance::MAP,
+            'maximum' => [
+                             'constant' => 1,
+                             'optional' => true,
+                             'implicit' => true,
+                         ] + BaseDistance::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/GeneralSubtrees.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/GeneralSubtrees.php
new file mode 100644
index 000000000..3b10265cd
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/GeneralSubtrees.php
@@ -0,0 +1,35 @@
+<?php
+
+/**
+ * GeneralSubtrees
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * GeneralSubtrees
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class GeneralSubtrees
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'min'      => 1,
+        'max'      => -1,
+        'children' => GeneralSubtree::MAP
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/HashAlgorithm.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/HashAlgorithm.php
new file mode 100644
index 000000000..02f587d13
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/HashAlgorithm.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * HashAglorithm
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * HashAglorithm
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class HashAlgorithm
+{
+    const MAP = AlgorithmIdentifier::MAP;
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/HoldInstructionCode.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/HoldInstructionCode.php
new file mode 100644
index 000000000..7d4959614
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/HoldInstructionCode.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * HoldInstructionCode
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * HoldInstructionCode
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class HoldInstructionCode
+{
+    const MAP = ['type' => ASN1::TYPE_OBJECT_IDENTIFIER];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/InvalidityDate.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/InvalidityDate.php
new file mode 100644
index 000000000..0ae964ce9
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/InvalidityDate.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * InvalidityDate
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * InvalidityDate
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class InvalidityDate
+{
+    const MAP = ['type' => ASN1::TYPE_GENERALIZED_TIME];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/IssuerAltName.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/IssuerAltName.php
new file mode 100644
index 000000000..5f71db8f7
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/IssuerAltName.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * IssuerAltName
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * IssuerAltName
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class IssuerAltName
+{
+    const MAP = GeneralNames::MAP;
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/IssuingDistributionPoint.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/IssuingDistributionPoint.php
new file mode 100644
index 000000000..f4b35b380
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/IssuingDistributionPoint.php
@@ -0,0 +1,72 @@
+<?php
+
+/**
+ * IssuingDistributionPoint
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * IssuingDistributionPoint
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class IssuingDistributionPoint
+{
+    const MAP = [
+        'type' => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'distributionPoint'          => [
+                                                'constant' => 0,
+                                                'optional' => true,
+                                                'explicit' => true
+                                            ] + DistributionPointName::MAP,
+            'onlyContainsUserCerts'      => [
+                                                'type'     => ASN1::TYPE_BOOLEAN,
+                                                'constant' => 1,
+                                                'optional' => true,
+                                                'default'  => false,
+                                                'implicit' => true
+                                            ],
+            'onlyContainsCACerts'        => [
+                                                'type'     => ASN1::TYPE_BOOLEAN,
+                                                'constant' => 2,
+                                                'optional' => true,
+                                                'default'  => false,
+                                                'implicit' => true
+                                            ],
+            'onlySomeReasons'           => [
+                                                'constant' => 3,
+                                                'optional' => true,
+                                                'implicit' => true
+                                            ] + ReasonFlags::MAP,
+            'indirectCRL'               => [
+                                                'type'     => ASN1::TYPE_BOOLEAN,
+                                                'constant' => 4,
+                                                'optional' => true,
+                                                'default'  => false,
+                                                'implicit' => true
+                                            ],
+            'onlyContainsAttributeCerts' =>[
+                                                'type'     => ASN1::TYPE_BOOLEAN,
+                                                'constant' => 5,
+                                                'optional' => true,
+                                                'default'  => false,
+                                                'implicit' => true
+                                            ]
+                      ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/KeyIdentifier.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/KeyIdentifier.php
new file mode 100644
index 000000000..eb2939b85
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/KeyIdentifier.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * KeyIdentifier
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * KeyIdentifier
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class KeyIdentifier
+{
+    const MAP = ['type' => ASN1::TYPE_OCTET_STRING];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/KeyPurposeId.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/KeyPurposeId.php
new file mode 100644
index 000000000..7aee54ada
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/KeyPurposeId.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * KeyPurposeId
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * KeyPurposeId
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class KeyPurposeId
+{
+    const MAP = ['type' => ASN1::TYPE_OBJECT_IDENTIFIER];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/KeyUsage.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/KeyUsage.php
new file mode 100644
index 000000000..abf599ed1
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/KeyUsage.php
@@ -0,0 +1,43 @@
+<?php
+
+/**
+ * KeyUsage
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * KeyUsage
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class KeyUsage
+{
+    const MAP = [
+        'type'    => ASN1::TYPE_BIT_STRING,
+        'mapping' => [
+            'digitalSignature',
+            'nonRepudiation',
+            'keyEncipherment',
+            'dataEncipherment',
+            'keyAgreement',
+            'keyCertSign',
+            'cRLSign',
+            'encipherOnly',
+            'decipherOnly'
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/MaskGenAlgorithm.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/MaskGenAlgorithm.php
new file mode 100644
index 000000000..5e0e26f07
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/MaskGenAlgorithm.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * MaskGenAglorithm
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * MaskGenAglorithm
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class MaskGenAlgorithm
+{
+    const MAP = AlgorithmIdentifier::MAP;
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Name.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Name.php
new file mode 100644
index 000000000..a4ba82a0e
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Name.php
@@ -0,0 +1,35 @@
+<?php
+
+/**
+ * Name
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * Name
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Name
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_CHOICE,
+        'children' => [
+            'rdnSequence' => RDNSequence::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/NameConstraints.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/NameConstraints.php
new file mode 100644
index 000000000..518e68f6b
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/NameConstraints.php
@@ -0,0 +1,44 @@
+<?php
+
+/**
+ * NameConstraints
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * NameConstraints
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class NameConstraints
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'permittedSubtrees' => [
+                                       'constant' => 0,
+                                       'optional' => true,
+                                       'implicit' => true
+                                   ] + GeneralSubtrees::MAP,
+            'excludedSubtrees'  => [
+                                       'constant' => 1,
+                                       'optional' => true,
+                                       'implicit' => true
+                                   ] + GeneralSubtrees::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/NetworkAddress.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/NetworkAddress.php
new file mode 100644
index 000000000..a67c0276c
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/NetworkAddress.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * NetworkAddress
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * NetworkAddress
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class NetworkAddress
+{
+    const MAP = ['type' => ASN1::TYPE_NUMERIC_STRING];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/NoticeReference.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/NoticeReference.php
new file mode 100644
index 000000000..cea267733
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/NoticeReference.php
@@ -0,0 +1,41 @@
+<?php
+
+/**
+ * NoticeReference
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * NoticeReference
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class NoticeReference
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'organization'  => DisplayText::MAP,
+            'noticeNumbers' => [
+                                   'type'     => ASN1::TYPE_SEQUENCE,
+                                   'min'      => 1,
+                                   'max'      => 200,
+                                   'children' => ['type' => ASN1::TYPE_INTEGER]
+                               ]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/NumericUserIdentifier.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/NumericUserIdentifier.php
new file mode 100644
index 000000000..04998393c
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/NumericUserIdentifier.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * NumericUserIdentifier
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * NumericUserIdentifier
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class NumericUserIdentifier
+{
+    const MAP = ['type' => ASN1::TYPE_NUMERIC_STRING];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ORAddress.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ORAddress.php
new file mode 100644
index 000000000..cde7b3d6c
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ORAddress.php
@@ -0,0 +1,37 @@
+<?php
+
+/**
+ * ORAddress
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * ORAddress
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class ORAddress
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+             'built-in-standard-attributes'       => BuiltInStandardAttributes::MAP,
+             'built-in-domain-defined-attributes' => ['optional' => true] + BuiltInDomainDefinedAttributes::MAP,
+             'extension-attributes'               => ['optional' => true] + ExtensionAttributes::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/OneAsymmetricKey.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/OneAsymmetricKey.php
new file mode 100644
index 000000000..9a5c16873
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/OneAsymmetricKey.php
@@ -0,0 +1,52 @@
+<?php
+
+/**
+ * OneAsymmetricKey
+ *
+ * See https://tools.ietf.org/html/rfc5958
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * OneAsymmetricKey
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class OneAsymmetricKey
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'version' => [
+                'type' => ASN1::TYPE_INTEGER,
+                'mapping' => ['v1', 'v2']
+            ],
+            'privateKeyAlgorithm'=> AlgorithmIdentifier::MAP,
+            'privateKey' => PrivateKey::MAP,
+            'attributes' => [
+                'constant' => 0,
+                'optional' => true,
+                'implicit' => true
+            ] + Attributes::MAP,
+            'publicKey' => [
+                'constant' => 1,
+                'optional' => true,
+                'implicit' => true
+            ] + PublicKey::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/OrganizationName.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/OrganizationName.php
new file mode 100644
index 000000000..250c92774
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/OrganizationName.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * OrganizationName
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * OrganizationName
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class OrganizationName
+{
+    const MAP = ['type' => ASN1::TYPE_PRINTABLE_STRING];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/OrganizationalUnitNames.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/OrganizationalUnitNames.php
new file mode 100644
index 000000000..eb2ac677a
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/OrganizationalUnitNames.php
@@ -0,0 +1,35 @@
+<?php
+
+/**
+ * OrganizationalUnitNames
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * OrganizationalUnitNames
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class OrganizationalUnitNames
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'min'      => 1,
+        'max'      => 4, // ub-organizational-units
+        'children' => ['type' => ASN1::TYPE_PRINTABLE_STRING]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/OtherPrimeInfo.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/OtherPrimeInfo.php
new file mode 100644
index 000000000..d75fa3f7c
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/OtherPrimeInfo.php
@@ -0,0 +1,38 @@
+<?php
+
+/**
+ * OtherPrimeInfo
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * OtherPrimeInfo
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class OtherPrimeInfo
+{
+    // version must be multi if otherPrimeInfos present
+    const MAP = [
+        'type' => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'prime' =>       ['type' => ASN1::TYPE_INTEGER], // ri
+            'exponent' =>    ['type' => ASN1::TYPE_INTEGER], // di
+            'coefficient' => ['type' => ASN1::TYPE_INTEGER]  // ti
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/OtherPrimeInfos.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/OtherPrimeInfos.php
new file mode 100644
index 000000000..bb833171d
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/OtherPrimeInfos.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * OtherPrimeInfos
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * OtherPrimeInfos
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class OtherPrimeInfos
+{
+    // version must be multi if otherPrimeInfos present
+    const MAP = [
+        'type' => ASN1::TYPE_SEQUENCE,
+        'min' => 1,
+        'max' => -1,
+        'children' => OtherPrimeInfo::MAP
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PBEParameter.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PBEParameter.php
new file mode 100644
index 000000000..bd17291fd
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PBEParameter.php
@@ -0,0 +1,38 @@
+<?php
+
+/**
+ * PBEParameter
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * PBEParameter
+ *
+ * from https://tools.ietf.org/html/rfc2898#appendix-A.3
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PBEParameter
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'salt' => ['type' => ASN1::TYPE_OCTET_STRING],
+            'iterationCount' => ['type' => ASN1::TYPE_INTEGER]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PBES2params.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PBES2params.php
new file mode 100644
index 000000000..1d807db70
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PBES2params.php
@@ -0,0 +1,38 @@
+<?php
+
+/**
+ * PBES2params
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * PBES2params
+ *
+ * from https://tools.ietf.org/html/rfc2898#appendix-A.3
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PBES2params
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'keyDerivationFunc'=> AlgorithmIdentifier::MAP,
+            'encryptionScheme' => AlgorithmIdentifier::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PBKDF2params.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PBKDF2params.php
new file mode 100644
index 000000000..16d37a95b
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PBKDF2params.php
@@ -0,0 +1,45 @@
+<?php
+
+/**
+ * PBKDF2params
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * PBKDF2params
+ *
+ * from https://tools.ietf.org/html/rfc2898#appendix-A.3
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PBKDF2params
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            // technically, this is a CHOICE in RFC2898 but the other "choice" is, currently, more of a placeholder
+            // in the RFC
+            'salt'=> ['type' => ASN1::TYPE_OCTET_STRING],
+            'iterationCount'=> ['type' => ASN1::TYPE_INTEGER],
+            'keyLength' => [
+                'type'     => ASN1::TYPE_INTEGER,
+                'optional' => true
+            ],
+            'prf' => AlgorithmIdentifier::MAP + ['optional' => true]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PBMAC1params.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PBMAC1params.php
new file mode 100644
index 000000000..f375aa16b
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PBMAC1params.php
@@ -0,0 +1,38 @@
+<?php
+
+/**
+ * PBMAC1params
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * PBMAC1params
+ *
+ * from https://tools.ietf.org/html/rfc2898#appendix-A.3
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PBMAC1params
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'keyDerivationFunc'=> AlgorithmIdentifier::MAP,
+            'messageAuthScheme'=> AlgorithmIdentifier::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PKCS9String.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PKCS9String.php
new file mode 100644
index 000000000..11c638bdf
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PKCS9String.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * PKCS9String 
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * PKCS9String 
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PKCS9String 
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_CHOICE,
+        'children' => [
+            'ia5String'       => ['type' => ASN1::TYPE_IA5_STRING],
+            'directoryString' => DirectoryString::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Pentanomial.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Pentanomial.php
new file mode 100644
index 000000000..493cd2992
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Pentanomial.php
@@ -0,0 +1,37 @@
+<?php
+
+/**
+ * Pentanomial
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * Pentanomial
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Pentanomial
+{
+    const MAP = [
+        'type' => ASN1::TYPE_SEQUENCE,
+        'children' => [
+             'k1' => ['type' => ASN1::TYPE_INTEGER], // k1 > 0
+             'k2' => ['type' => ASN1::TYPE_INTEGER], // k2 > k1
+             'k3' => ['type' => ASN1::TYPE_INTEGER], // k3 > h2
+        ]
+    ];
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PersonalName.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PersonalName.php
new file mode 100644
index 000000000..c9492c9ef
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PersonalName.php
@@ -0,0 +1,58 @@
+<?php
+
+/**
+ * PersonalName
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * PersonalName
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PersonalName
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SET,
+        'children' => [
+            'surname'              => [
+                                       'type' => ASN1::TYPE_PRINTABLE_STRING,
+                                       'constant' => 0,
+                                       'optional' => true,
+                                       'implicit' => true
+                                     ],
+            'given-name'           => [
+                                       'type' => ASN1::TYPE_PRINTABLE_STRING,
+                                       'constant' => 1,
+                                       'optional' => true,
+                                       'implicit' => true
+                                     ],
+            'initials'             => [
+                                       'type' => ASN1::TYPE_PRINTABLE_STRING,
+                                       'constant' => 2,
+                                       'optional' => true,
+                                       'implicit' => true
+                                     ],
+            'generation-qualifier' => [
+                                       'type' => ASN1::TYPE_PRINTABLE_STRING,
+                                       'constant' => 3,
+                                       'optional' => true,
+                                       'implicit' => true
+                                     ]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PolicyInformation.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PolicyInformation.php
new file mode 100644
index 000000000..cfda3990c
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PolicyInformation.php
@@ -0,0 +1,42 @@
+<?php
+
+/**
+ * PolicyInformation
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * PolicyInformation
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PolicyInformation
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'policyIdentifier' => CertPolicyId::MAP,
+            'policyQualifiers' => [
+                                      'type'     => ASN1::TYPE_SEQUENCE,
+                                      'min'      => 0,
+                                      'max'      => -1,
+                                      'optional' => true,
+                                      'children' => PolicyQualifierInfo::MAP
+                                  ]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PolicyMappings.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PolicyMappings.php
new file mode 100644
index 000000000..c1086477a
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PolicyMappings.php
@@ -0,0 +1,41 @@
+<?php
+
+/**
+ * PolicyMappings
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * PolicyMappings
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PolicyMappings
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'min'      => 1,
+        'max'      => -1,
+        'children' => [
+                          'type'     => ASN1::TYPE_SEQUENCE,
+                          'children' => [
+                              'issuerDomainPolicy' => CertPolicyId::MAP,
+                              'subjectDomainPolicy' => CertPolicyId::MAP
+                          ]
+                   ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PolicyQualifierId.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PolicyQualifierId.php
new file mode 100644
index 000000000..454a9d1a9
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PolicyQualifierId.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * PolicyQualifierId
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * PolicyQualifierId
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PolicyQualifierId
+{
+    const MAP = ['type' => ASN1::TYPE_OBJECT_IDENTIFIER];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PolicyQualifierInfo.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PolicyQualifierInfo.php
new file mode 100644
index 000000000..a1d7e1727
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PolicyQualifierInfo.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * PolicyQualifierInfo
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * PolicyQualifierInfo
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PolicyQualifierInfo
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'policyQualifierId' => PolicyQualifierId::MAP,
+            'qualifier'         => ['type' => ASN1::TYPE_ANY]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PostalAddress.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PostalAddress.php
new file mode 100644
index 000000000..ec8354fa0
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PostalAddress.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * PostalAddress
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * PostalAddress
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PostalAddress
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'optional' => true,
+        'min'      => 1,
+        'max'      => -1,
+        'children' => DirectoryString::MAP
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Prime_p.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Prime_p.php
new file mode 100644
index 000000000..09c8006be
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Prime_p.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * Prime_p
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * Prime_p
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Prime_p
+{
+    const MAP = ['type' => ASN1::TYPE_INTEGER];
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PrivateDomainName.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PrivateDomainName.php
new file mode 100644
index 000000000..b26c0cbaa
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PrivateDomainName.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * PrivateDomainName
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * PrivateDomainName
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PrivateDomainName
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_CHOICE,
+        'children' => [
+            'numeric'   => ['type' => ASN1::TYPE_NUMERIC_STRING],
+            'printable' => ['type' => ASN1::TYPE_PRINTABLE_STRING]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PrivateKey.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PrivateKey.php
new file mode 100644
index 000000000..7670f4add
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PrivateKey.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * PrivateKey
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * PrivateKey
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PrivateKey
+{
+    const MAP = ['type' => ASN1::TYPE_OCTET_STRING];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PrivateKeyInfo.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PrivateKeyInfo.php
new file mode 100644
index 000000000..170f6f276
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PrivateKeyInfo.php
@@ -0,0 +1,45 @@
+<?php
+
+/**
+ * PrivateKeyInfo
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * PrivateKeyInfo
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PrivateKeyInfo
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'version' => [
+                'type' => ASN1::TYPE_INTEGER,
+                'mapping' => ['v1']
+            ],
+            'privateKeyAlgorithm'=> AlgorithmIdentifier::MAP,
+            'privateKey' => PrivateKey::MAP,
+            'attributes' => [
+                'constant' => 0,
+                'optional' => true,
+                'implicit' => true
+            ] + Attributes::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PrivateKeyUsagePeriod.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PrivateKeyUsagePeriod.php
new file mode 100644
index 000000000..8c396a000
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PrivateKeyUsagePeriod.php
@@ -0,0 +1,44 @@
+<?php
+
+/**
+ * PrivateKeyUsagePeriod
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * PrivateKeyUsagePeriod
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PrivateKeyUsagePeriod
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'notBefore' => [
+                                             'constant' => 0,
+                                             'optional' => true,
+                                             'implicit' => true,
+                                             'type' => ASN1::TYPE_GENERALIZED_TIME],
+            'notAfter'  => [
+                                             'constant' => 1,
+                                             'optional' => true,
+                                             'implicit' => true,
+                                             'type' => ASN1::TYPE_GENERALIZED_TIME]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PublicKey.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PublicKey.php
new file mode 100644
index 000000000..b8239aa6a
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PublicKey.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * PublicKey
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * PublicKey
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PublicKey
+{
+    const MAP = ['type' => ASN1::TYPE_BIT_STRING];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PublicKeyAndChallenge.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PublicKeyAndChallenge.php
new file mode 100644
index 000000000..ef212812d
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PublicKeyAndChallenge.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * PublicKeyAndChallenge
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * PublicKeyAndChallenge
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PublicKeyAndChallenge
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'spki'      => SubjectPublicKeyInfo::MAP,
+            'challenge' => ['type' => ASN1::TYPE_IA5_STRING]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PublicKeyInfo.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PublicKeyInfo.php
new file mode 100644
index 000000000..587230bc3
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/PublicKeyInfo.php
@@ -0,0 +1,39 @@
+<?php
+
+/**
+ * PublicKeyInfo
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * PublicKeyInfo
+ *
+ * this format is not formally defined anywhere but is none-the-less the form you
+ * get when you do "openssl rsa -in private.pem -outform PEM -pubout"
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PublicKeyInfo
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'publicKeyAlgorithm'=> AlgorithmIdentifier::MAP,
+            'publicKey' => ['type' => ASN1::TYPE_BIT_STRING]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/RC2CBCParameter.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/RC2CBCParameter.php
new file mode 100644
index 000000000..3697f103b
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/RC2CBCParameter.php
@@ -0,0 +1,41 @@
+<?php
+
+/**
+ * RC2CBCParameter
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * RC2CBCParameter
+ *
+ * from https://tools.ietf.org/html/rfc2898#appendix-A.3
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class RC2CBCParameter
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'rc2ParametersVersion'=> [
+                'type'     => ASN1::TYPE_INTEGER,
+                'optional' => true
+            ],
+            'iv'=> ['type' => ASN1::TYPE_OCTET_STRING]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/RDNSequence.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/RDNSequence.php
new file mode 100644
index 000000000..848e2c938
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/RDNSequence.php
@@ -0,0 +1,42 @@
+<?php
+
+/**
+ * RDNSequence
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * RDNSequence
+ *
+ * In practice, RDNs containing multiple name-value pairs (called "multivalued RDNs") are rare,
+ * but they can be useful at times when either there is no unique attribute in the entry or you
+ * want to ensure that the entry's DN contains some useful identifying information.
+ *
+ * - https://www.opends.org/wiki/page/DefinitionRelativeDistinguishedName
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class RDNSequence
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        // RDNSequence does not define a min or a max, which means it doesn't have one
+        'min'      => 0,
+        'max'      => -1,
+        'children' => RelativeDistinguishedName::MAP
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/RSAPrivateKey.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/RSAPrivateKey.php
new file mode 100644
index 000000000..fbbb0f7cf
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/RSAPrivateKey.php
@@ -0,0 +1,48 @@
+<?php
+
+/**
+ * RSAPrivateKey
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * RSAPrivateKey
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class RSAPrivateKey
+{
+    // version must be multi if otherPrimeInfos present
+    const MAP = [
+        'type' => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'version' => [
+                'type' => ASN1::TYPE_INTEGER,
+                'mapping' => ['two-prime', 'multi']
+            ],
+            'modulus' =>         ['type' => ASN1::TYPE_INTEGER], // n
+            'publicExponent' =>  ['type' => ASN1::TYPE_INTEGER], // e
+            'privateExponent' => ['type' => ASN1::TYPE_INTEGER], // d
+            'prime1' =>          ['type' => ASN1::TYPE_INTEGER], // p
+            'prime2' =>          ['type' => ASN1::TYPE_INTEGER], // q
+            'exponent1' =>       ['type' => ASN1::TYPE_INTEGER], // d mod (p-1)
+            'exponent2' =>       ['type' => ASN1::TYPE_INTEGER], // d mod (q-1)
+            'coefficient' =>     ['type' => ASN1::TYPE_INTEGER], // (inverse of q) mod p
+            'otherPrimeInfos' => OtherPrimeInfos::MAP + ['optional' => true]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/RSAPublicKey.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/RSAPublicKey.php
new file mode 100644
index 000000000..1ea441d03
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/RSAPublicKey.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * RSAPublicKey
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * RSAPublicKey
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class RSAPublicKey
+{
+    const MAP = [
+        'type' => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'modulus' =>         ['type' => ASN1::TYPE_INTEGER],
+            'publicExponent' =>  ['type' => ASN1::TYPE_INTEGER]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/RSASSA_PSS_params.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/RSASSA_PSS_params.php
new file mode 100644
index 000000000..b9ad46b01
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/RSASSA_PSS_params.php
@@ -0,0 +1,62 @@
+<?php
+
+/**
+ * RSASSA_PSS_params
+ *
+ * As defined in https://tools.ietf.org/html/rfc4055#section-3.1
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * RSASSA_PSS_params
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class RSASSA_PSS_params
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'hashAlgorithm'    => [
+                'constant' => 0,
+                'optional' => true,
+                'explicit' => true,
+                //'default'  => 'sha1Identifier'
+            ] + HashAlgorithm::MAP,
+            'maskGenAlgorithm' => [
+                'constant' => 1,
+                'optional' => true,
+                'explicit' => true,
+                //'default'  => 'mgf1SHA1Identifier'
+            ] + MaskGenAlgorithm::MAP,
+            'saltLength'       => [
+                'type'     => ASN1::TYPE_INTEGER,
+                'constant' => 2,
+                'optional' => true,
+                'explicit' => true,
+                'default'  => 20
+            ],
+            'trailerField'     => [
+                'type'     => ASN1::TYPE_INTEGER,
+                'constant' => 3,
+                'optional' => true,
+                'explicit' => true,
+                'default'  => 1
+            ]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ReasonFlags.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ReasonFlags.php
new file mode 100644
index 000000000..3cb32c480
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/ReasonFlags.php
@@ -0,0 +1,43 @@
+<?php
+
+/**
+ * ReasonFlags
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * ReasonFlags
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class ReasonFlags
+{
+    const MAP = [
+        'type'    => ASN1::TYPE_BIT_STRING,
+        'mapping' => [
+            'unused',
+            'keyCompromise',
+            'cACompromise',
+            'affiliationChanged',
+            'superseded',
+            'cessationOfOperation',
+            'certificateHold',
+            'privilegeWithdrawn',
+            'aACompromise'
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/RelativeDistinguishedName.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/RelativeDistinguishedName.php
new file mode 100644
index 000000000..de9dfaf60
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/RelativeDistinguishedName.php
@@ -0,0 +1,41 @@
+<?php
+
+/**
+ * RelativeDistinguishedName
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * RelativeDistinguishedName
+ *
+ * In practice, RDNs containing multiple name-value pairs (called "multivalued RDNs") are rare,
+ * but they can be useful at times when either there is no unique attribute in the entry or you
+ * want to ensure that the entry's DN contains some useful identifying information.
+ *
+ * - https://www.opends.org/wiki/page/DefinitionRelativeDistinguishedName
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class RelativeDistinguishedName
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SET,
+        'min'      => 1,
+        'max'      => -1,
+        'children' => AttributeTypeAndValue::MAP
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/RevokedCertificate.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/RevokedCertificate.php
new file mode 100644
index 000000000..b012d9dff
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/RevokedCertificate.php
@@ -0,0 +1,39 @@
+<?php
+
+/**
+ * RevokedCertificate
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * RevokedCertificate
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class RevokedCertificate
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+                          'userCertificate'    => CertificateSerialNumber::MAP,
+                          'revocationDate'     => Time::MAP,
+                          'crlEntryExtensions' => [
+                                                      'optional' => true
+                                                  ] + Extensions::MAP
+                      ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/SignedPublicKeyAndChallenge.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/SignedPublicKeyAndChallenge.php
new file mode 100644
index 000000000..c3591e2ff
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/SignedPublicKeyAndChallenge.php
@@ -0,0 +1,37 @@
+<?php
+
+/**
+ * SignedPublicKeyAndChallenge
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * SignedPublicKeyAndChallenge
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class SignedPublicKeyAndChallenge
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'publicKeyAndChallenge' => PublicKeyAndChallenge::MAP,
+            'signatureAlgorithm'    => AlgorithmIdentifier::MAP,
+            'signature'             => ['type' => ASN1::TYPE_BIT_STRING]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/SpecifiedECDomain.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/SpecifiedECDomain.php
new file mode 100644
index 000000000..fb437eab4
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/SpecifiedECDomain.php
@@ -0,0 +1,49 @@
+<?php
+
+/**
+ * SpecifiedECDomain
+ *
+ * From: http://www.secg.org/sec1-v2.pdf#page=109
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * SpecifiedECDomain
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class SpecifiedECDomain
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'version' => [
+                'type' => ASN1::TYPE_INTEGER,
+                'mapping' => [1 => 'ecdpVer1', 'ecdpVer2', 'ecdpVer3']
+            ],
+            'fieldID' => FieldID::MAP,
+            'curve' => Curve::MAP,
+            'base' => ECPoint::MAP,
+            'order' => ['type' => ASN1::TYPE_INTEGER],
+            'cofactor' => [
+                'type' => ASN1::TYPE_INTEGER,
+                'optional' => true
+            ],
+            'hash' => ['optional' => true] + HashAlgorithm::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/SubjectAltName.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/SubjectAltName.php
new file mode 100644
index 000000000..02d2d6d49
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/SubjectAltName.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * SubjectAltName
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * SubjectAltName
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class SubjectAltName
+{
+    const MAP = GeneralNames::MAP;
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/SubjectDirectoryAttributes.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/SubjectDirectoryAttributes.php
new file mode 100644
index 000000000..1eff925a2
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/SubjectDirectoryAttributes.php
@@ -0,0 +1,35 @@
+<?php
+
+/**
+ * SubjectDirectoryAttributes
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * SubjectDirectoryAttributes
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class SubjectDirectoryAttributes
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'min'      => 1,
+        'max'      => -1,
+        'children' => Attribute::MAP
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/SubjectInfoAccessSyntax.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/SubjectInfoAccessSyntax.php
new file mode 100644
index 000000000..98ab3ddd6
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/SubjectInfoAccessSyntax.php
@@ -0,0 +1,35 @@
+<?php
+
+/**
+ * SubjectInfoAccessSyntax
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * SubjectInfoAccessSyntax
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class SubjectInfoAccessSyntax
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'min'      => 1,
+        'max'      => -1,
+        'children' => AccessDescription::MAP
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/SubjectPublicKeyInfo.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/SubjectPublicKeyInfo.php
new file mode 100644
index 000000000..c367608cd
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/SubjectPublicKeyInfo.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * SubjectPublicKeyInfo
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * SubjectPublicKeyInfo
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class SubjectPublicKeyInfo
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'algorithm'        => AlgorithmIdentifier::MAP,
+            'subjectPublicKey' => ['type' => ASN1::TYPE_BIT_STRING]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/TBSCertList.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/TBSCertList.php
new file mode 100644
index 000000000..49be58eb9
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/TBSCertList.php
@@ -0,0 +1,58 @@
+<?php
+
+/**
+ * TBSCertList
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * TBSCertList
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class TBSCertList
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'version'             => [
+                                         'type'    => ASN1::TYPE_INTEGER,
+                                         'mapping' => ['v1', 'v2', 'v3'],
+                                         'optional' => true,
+                                         'default'  => 'v2'
+                                     ],
+            'signature'           => AlgorithmIdentifier::MAP,
+            'issuer'              => Name::MAP,
+            'thisUpdate'          => Time::MAP,
+            'nextUpdate'          => [
+                                         'optional' => true
+                                     ] + Time::MAP,
+            'revokedCertificates' => [
+                                         'type'     => ASN1::TYPE_SEQUENCE,
+                                         'optional' => true,
+                                         'min'      => 0,
+                                         'max'      => -1,
+                                         'children' => RevokedCertificate::MAP
+                                     ],
+            'crlExtensions'       => [
+                                         'constant' => 0,
+                                         'optional' => true,
+                                         'explicit' => true
+                                     ] + Extensions::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/TBSCertificate.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/TBSCertificate.php
new file mode 100644
index 000000000..dc5fe2aa3
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/TBSCertificate.php
@@ -0,0 +1,69 @@
+<?php
+
+/**
+ * TBSCertificate
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * TBSCertificate
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class TBSCertificate
+{
+    // assert($TBSCertificate['children']['signature'] == $Certificate['children']['signatureAlgorithm'])
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            // technically, default implies optional, but we'll define it as being optional, none-the-less, just to
+            // reenforce that fact
+            'version'             => [
+                                         'type'    => ASN1::TYPE_INTEGER,
+                                         'constant' => 0,
+                                         'optional' => true,
+                                         'explicit' => true,
+                                         'mapping' => ['v1', 'v2', 'v3'],
+                                         'default'  => 'v1'
+                                     ],
+            'serialNumber'         => CertificateSerialNumber::MAP,
+            'signature'            => AlgorithmIdentifier::MAP,
+            'issuer'               => Name::MAP,
+            'validity'             => Validity::MAP,
+            'subject'              => Name::MAP,
+            'subjectPublicKeyInfo' => SubjectPublicKeyInfo::MAP,
+            // implicit means that the T in the TLV structure is to be rewritten, regardless of the type
+            'issuerUniqueID'       => [
+                                           'constant' => 1,
+                                           'optional' => true,
+                                           'implicit' => true
+                                       ] + UniqueIdentifier::MAP,
+            'subjectUniqueID'       => [
+                                           'constant' => 2,
+                                           'optional' => true,
+                                           'implicit' => true
+                                       ] + UniqueIdentifier::MAP,
+            // <http://tools.ietf.org/html/rfc2459#page-74> doesn't use the EXPLICIT keyword but if
+            // it's not IMPLICIT, it's EXPLICIT
+            'extensions'            => [
+                                           'constant' => 3,
+                                           'optional' => true,
+                                           'explicit' => true
+                                       ] + Extensions::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/TerminalIdentifier.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/TerminalIdentifier.php
new file mode 100644
index 000000000..5c6fdddb6
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/TerminalIdentifier.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * TerminalIdentifier
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * TerminalIdentifier
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class TerminalIdentifier
+{
+    const MAP = ['type' => ASN1::TYPE_PRINTABLE_STRING];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Time.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Time.php
new file mode 100644
index 000000000..a673c3afc
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Time.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * Time
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * Time
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Time
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_CHOICE,
+        'children' => [
+            'utcTime'     => ['type' => ASN1::TYPE_UTC_TIME],
+            'generalTime' => ['type' => ASN1::TYPE_GENERALIZED_TIME]
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Trinomial.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Trinomial.php
new file mode 100644
index 000000000..7cd4ba27c
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Trinomial.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * Trinomial
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * Trinomial
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Trinomial
+{
+    const MAP = ['type' => ASN1::TYPE_INTEGER];
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/UniqueIdentifier.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/UniqueIdentifier.php
new file mode 100644
index 000000000..64645773d
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/UniqueIdentifier.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * UniqueIdentifier
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * UniqueIdentifier
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class UniqueIdentifier
+{
+    const MAP = ['type' => ASN1::TYPE_BIT_STRING];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/UserNotice.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/UserNotice.php
new file mode 100644
index 000000000..2a0c86542
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/UserNotice.php
@@ -0,0 +1,42 @@
+<?php
+
+/**
+ * UserNotice
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * UserNotice
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class UserNotice
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'noticeRef' => [
+                                       'optional' => true,
+                                       'implicit' => true
+                                   ] + NoticeReference::MAP,
+            'explicitText'  => [
+                                       'optional' => true,
+                                       'implicit' => true
+                                   ] + DisplayText::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Validity.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Validity.php
new file mode 100644
index 000000000..040aa7f59
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/Validity.php
@@ -0,0 +1,36 @@
+<?php
+
+/**
+ * Validity
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * Validity
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Validity
+{
+    const MAP = [
+        'type'     => ASN1::TYPE_SEQUENCE,
+        'children' => [
+            'notBefore' => Time::MAP,
+            'notAfter'  => Time::MAP
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/netscape_ca_policy_url.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/netscape_ca_policy_url.php
new file mode 100644
index 000000000..1da389a72
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/netscape_ca_policy_url.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * netscape_ca_policy_url
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * netscape_ca_policy_url
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class netscape_ca_policy_url
+{
+    const MAP = ['type' => ASN1::TYPE_IA5_STRING];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/netscape_cert_type.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/netscape_cert_type.php
new file mode 100644
index 000000000..c5845b594
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/netscape_cert_type.php
@@ -0,0 +1,44 @@
+<?php
+
+/**
+ * netscape_cert_type
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * netscape_cert_type
+ *
+ * mapping is from <http://www.mozilla.org/projects/security/pki/nss/tech-notes/tn3.html>
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class netscape_cert_type
+{
+    const MAP = [
+        'type'    => ASN1::TYPE_BIT_STRING,
+        'mapping' => [
+            'SSLClient',
+            'SSLServer',
+            'Email',
+            'ObjectSigning',
+            'Reserved',
+            'SSLCA',
+            'EmailCA',
+            'ObjectSigningCA'
+        ]
+    ];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/netscape_comment.php b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/netscape_comment.php
new file mode 100644
index 000000000..8ff14dacc
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/ASN1/Maps/netscape_comment.php
@@ -0,0 +1,30 @@
+<?php
+
+/**
+ * netscape_comment
+ *
+ * PHP version 5
+ *
+ * @category  File
+ * @package   ASN1
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2016 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File\ASN1\Maps;
+
+use phpseclib3\File\ASN1;
+
+/**
+ * netscape_comment
+ *
+ * @package ASN1
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class netscape_comment
+{
+    const MAP = ['type' => ASN1::TYPE_IA5_STRING];
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/File/X509.php b/vendor/phpseclib/phpseclib/phpseclib/File/X509.php
new file mode 100644
index 000000000..eb122b6bb
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/File/X509.php
@@ -0,0 +1,4076 @@
+<?php
+
+/**
+ * Pure-PHP X.509 Parser
+ *
+ * PHP version 5
+ *
+ * Encode and decode X.509 certificates.
+ *
+ * The extensions are from {@link http://tools.ietf.org/html/rfc5280 RFC5280} and
+ * {@link http://web.archive.org/web/19961027104704/http://www3.netscape.com/eng/security/cert-exts.html Netscape Certificate Extensions}.
+ *
+ * Note that loading an X.509 certificate and resaving it may invalidate the signature.  The reason being that the signature is based on a
+ * portion of the certificate that contains optional parameters with default values.  ie. if the parameter isn't there the default value is
+ * used.  Problem is, if the parameter is there and it just so happens to have the default value there are two ways that that parameter can
+ * be encoded.  It can be encoded explicitly or left out all together.  This would effect the signature value and thus may invalidate the
+ * the certificate all together unless the certificate is re-signed.
+ *
+ * @category  File
+ * @package   X509
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2012 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\File;
+
+use DateTimeImmutable;
+use DateTimeInterface;
+use DateTimeZone;
+use ParagonIE\ConstantTime\Base64;
+use ParagonIE\ConstantTime\Hex;
+use phpseclib3\Crypt\Common\PrivateKey;
+use phpseclib3\Crypt\Common\PublicKey;
+use phpseclib3\Crypt\DSA;
+use phpseclib3\Crypt\EC;
+use phpseclib3\Crypt\Hash;
+use phpseclib3\Crypt\Random;
+use phpseclib3\Crypt\RSA;
+use phpseclib3\Crypt\RSA\Formats\Keys\PSS;
+use phpseclib3\Exception\UnsupportedAlgorithmException;
+use phpseclib3\File\ASN1\Element;
+use phpseclib3\File\ASN1\Maps;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Crypt\PublicKeyLoader;
+
+/**
+ * Pure-PHP X.509 Parser
+ *
+ * @package X509
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class X509
+{
+    /**
+     * Flag to only accept signatures signed by certificate authorities
+     *
+     * Not really used anymore but retained all the same to suppress E_NOTICEs from old installs
+     *
+     * @access public
+     */
+    const VALIDATE_SIGNATURE_BY_CA = 1;
+
+    /**
+     * Return internal array representation
+     *
+     * @access public
+     * @see \phpseclib3\File\X509::getDN()
+     */
+    const DN_ARRAY = 0;
+    /**
+     * Return string
+     *
+     * @access public
+     * @see \phpseclib3\File\X509::getDN()
+     */
+    const DN_STRING = 1;
+    /**
+     * Return ASN.1 name string
+     *
+     * @access public
+     * @see \phpseclib3\File\X509::getDN()
+     */
+    const DN_ASN1 = 2;
+    /**
+     * Return OpenSSL compatible array
+     *
+     * @access public
+     * @see \phpseclib3\File\X509::getDN()
+     */
+    const DN_OPENSSL = 3;
+    /**
+     * Return canonical ASN.1 RDNs string
+     *
+     * @access public
+     * @see \phpseclib3\File\X509::getDN()
+     */
+    const DN_CANON = 4;
+    /**
+     * Return name hash for file indexing
+     *
+     * @access public
+     * @see \phpseclib3\File\X509::getDN()
+     */
+    const DN_HASH = 5;
+
+    /**
+     * Save as PEM
+     *
+     * ie. a base64-encoded PEM with a header and a footer
+     *
+     * @access public
+     * @see \phpseclib3\File\X509::saveX509()
+     * @see \phpseclib3\File\X509::saveCSR()
+     * @see \phpseclib3\File\X509::saveCRL()
+     */
+    const FORMAT_PEM = 0;
+    /**
+     * Save as DER
+     *
+     * @access public
+     * @see \phpseclib3\File\X509::saveX509()
+     * @see \phpseclib3\File\X509::saveCSR()
+     * @see \phpseclib3\File\X509::saveCRL()
+     */
+    const FORMAT_DER = 1;
+    /**
+     * Save as a SPKAC
+     *
+     * @access public
+     * @see \phpseclib3\File\X509::saveX509()
+     * @see \phpseclib3\File\X509::saveCSR()
+     * @see \phpseclib3\File\X509::saveCRL()
+     *
+     * Only works on CSRs. Not currently supported.
+     */
+    const FORMAT_SPKAC = 2;
+    /**
+     * Auto-detect the format
+     *
+     * Used only by the load*() functions
+     *
+     * @access public
+     * @see \phpseclib3\File\X509::saveX509()
+     * @see \phpseclib3\File\X509::saveCSR()
+     * @see \phpseclib3\File\X509::saveCRL()
+     */
+    const FORMAT_AUTO_DETECT = 3;
+
+    /**
+     * Attribute value disposition.
+     * If disposition is >= 0, this is the index of the target value.
+     */
+    const ATTR_ALL = -1; // All attribute values (array).
+    const ATTR_APPEND = -2; // Add a value.
+    const ATTR_REPLACE = -3; // Clear first, then add a value.
+
+    /**
+     * Distinguished Name
+     *
+     * @var array
+     * @access private
+     */
+    private $dn;
+
+    /**
+     * Public key
+     *
+     * @var string
+     * @access private
+     */
+    private $publicKey;
+
+    /**
+     * Private key
+     *
+     * @var string
+     * @access private
+     */
+    private $privateKey;
+
+    /**
+     * Object identifiers for X.509 certificates
+     *
+     * @var array
+     * @access private
+     * @link http://en.wikipedia.org/wiki/Object_identifier
+     */
+    private $oids;
+
+    /**
+     * The certificate authorities
+     *
+     * @var array
+     * @access private
+     */
+    private $CAs;
+
+    /**
+     * The currently loaded certificate
+     *
+     * @var array
+     * @access private
+     */
+    private $currentCert;
+
+    /**
+     * The signature subject
+     *
+     * There's no guarantee \phpseclib3\File\X509 is going to re-encode an X.509 cert in the same way it was originally
+     * encoded so we take save the portion of the original cert that the signature would have made for.
+     *
+     * @var string
+     * @access private
+     */
+    private $signatureSubject;
+
+    /**
+     * Certificate Start Date
+     *
+     * @var string
+     * @access private
+     */
+    private $startDate;
+
+    /**
+     * Certificate End Date
+     *
+     * @var string
+     * @access private
+     */
+    private $endDate;
+
+    /**
+     * Serial Number
+     *
+     * @var string
+     * @access private
+     */
+    private $serialNumber;
+
+    /**
+     * Key Identifier
+     *
+     * See {@link http://tools.ietf.org/html/rfc5280#section-4.2.1.1 RFC5280#section-4.2.1.1} and
+     * {@link http://tools.ietf.org/html/rfc5280#section-4.2.1.2 RFC5280#section-4.2.1.2}.
+     *
+     * @var string
+     * @access private
+     */
+    private $currentKeyIdentifier;
+
+    /**
+     * CA Flag
+     *
+     * @var bool
+     * @access private
+     */
+    private $caFlag = false;
+
+    /**
+     * SPKAC Challenge
+     *
+     * @var string
+     * @access private
+     */
+    private $challenge;
+
+    /**
+     * @var array
+     * @access private
+     */
+    private $extensionValues = [];
+
+    /**
+     * OIDs loaded
+     *
+     * @var bool
+     * @access private
+     */
+    private static $oidsLoaded = false;
+
+    /**
+     * Recursion Limit
+     *
+     * @var int
+     * @access private
+     */
+    private static $recur_limit = 5;
+
+    /**
+     * URL fetch flag
+     *
+     * @var bool
+     * @access private
+     */
+    private static $disable_url_fetch = false;
+
+    /**
+     * @var array
+     * @access private
+     */
+    private static $extensions = [];
+
+    /**
+     * @var ?array
+     * @access private
+     */
+    private $ipAddresses = null;
+
+    /**
+     * @var ?array
+     * @access private
+     */
+    private $domains = null;
+
+    /**
+     * Default Constructor.
+     *
+     * @return \phpseclib3\File\X509
+     * @access public
+     */
+    public function __construct()
+    {
+        // Explicitly Tagged Module, 1988 Syntax
+        // http://tools.ietf.org/html/rfc5280#appendix-A.1
+
+        if (!self::$oidsLoaded) {
+            // OIDs from RFC5280 and those RFCs mentioned in RFC5280#section-4.1.1.2
+            ASN1::loadOIDs([
+                //'id-pkix' => '1.3.6.1.5.5.7',
+                //'id-pe' => '1.3.6.1.5.5.7.1',
+                //'id-qt' => '1.3.6.1.5.5.7.2',
+                //'id-kp' => '1.3.6.1.5.5.7.3',
+                //'id-ad' => '1.3.6.1.5.5.7.48',
+                'id-qt-cps' => '1.3.6.1.5.5.7.2.1',
+                'id-qt-unotice' => '1.3.6.1.5.5.7.2.2',
+                'id-ad-ocsp' =>'1.3.6.1.5.5.7.48.1',
+                'id-ad-caIssuers' => '1.3.6.1.5.5.7.48.2',
+                'id-ad-timeStamping' => '1.3.6.1.5.5.7.48.3',
+                'id-ad-caRepository' => '1.3.6.1.5.5.7.48.5',
+                //'id-at' => '2.5.4',
+                'id-at-name' => '2.5.4.41',
+                'id-at-surname' => '2.5.4.4',
+                'id-at-givenName' => '2.5.4.42',
+                'id-at-initials' => '2.5.4.43',
+                'id-at-generationQualifier' => '2.5.4.44',
+                'id-at-commonName' => '2.5.4.3',
+                'id-at-localityName' => '2.5.4.7',
+                'id-at-stateOrProvinceName' => '2.5.4.8',
+                'id-at-organizationName' => '2.5.4.10',
+                'id-at-organizationalUnitName' => '2.5.4.11',
+                'id-at-title' => '2.5.4.12',
+                'id-at-description' => '2.5.4.13',
+                'id-at-dnQualifier' => '2.5.4.46',
+                'id-at-countryName' => '2.5.4.6',
+                'id-at-serialNumber' => '2.5.4.5',
+                'id-at-pseudonym' => '2.5.4.65',
+                'id-at-postalCode' => '2.5.4.17',
+                'id-at-streetAddress' => '2.5.4.9',
+                'id-at-uniqueIdentifier' => '2.5.4.45',
+                'id-at-role' => '2.5.4.72',
+                'id-at-postalAddress' => '2.5.4.16',
+
+                //'id-domainComponent' => '0.9.2342.19200300.100.1.25',
+                //'pkcs-9' => '1.2.840.113549.1.9',
+                'pkcs-9-at-emailAddress' => '1.2.840.113549.1.9.1',
+                //'id-ce' => '2.5.29',
+                'id-ce-authorityKeyIdentifier' => '2.5.29.35',
+                'id-ce-subjectKeyIdentifier' => '2.5.29.14',
+                'id-ce-keyUsage' => '2.5.29.15',
+                'id-ce-privateKeyUsagePeriod' => '2.5.29.16',
+                'id-ce-certificatePolicies' => '2.5.29.32',
+                //'anyPolicy' => '2.5.29.32.0',
+
+                'id-ce-policyMappings' => '2.5.29.33',
+
+                'id-ce-subjectAltName' => '2.5.29.17',
+                'id-ce-issuerAltName' => '2.5.29.18',
+                'id-ce-subjectDirectoryAttributes' => '2.5.29.9',
+                'id-ce-basicConstraints' => '2.5.29.19',
+                'id-ce-nameConstraints' => '2.5.29.30',
+                'id-ce-policyConstraints' => '2.5.29.36',
+                'id-ce-cRLDistributionPoints' => '2.5.29.31',
+                'id-ce-extKeyUsage' => '2.5.29.37',
+                //'anyExtendedKeyUsage' => '2.5.29.37.0',
+                'id-kp-serverAuth' => '1.3.6.1.5.5.7.3.1',
+                'id-kp-clientAuth' => '1.3.6.1.5.5.7.3.2',
+                'id-kp-codeSigning' => '1.3.6.1.5.5.7.3.3',
+                'id-kp-emailProtection' => '1.3.6.1.5.5.7.3.4',
+                'id-kp-timeStamping' => '1.3.6.1.5.5.7.3.8',
+                'id-kp-OCSPSigning' => '1.3.6.1.5.5.7.3.9',
+                'id-ce-inhibitAnyPolicy' => '2.5.29.54',
+                'id-ce-freshestCRL' => '2.5.29.46',
+                'id-pe-authorityInfoAccess' => '1.3.6.1.5.5.7.1.1',
+                'id-pe-subjectInfoAccess' => '1.3.6.1.5.5.7.1.11',
+                'id-ce-cRLNumber' => '2.5.29.20',
+                'id-ce-issuingDistributionPoint' => '2.5.29.28',
+                'id-ce-deltaCRLIndicator' => '2.5.29.27',
+                'id-ce-cRLReasons' => '2.5.29.21',
+                'id-ce-certificateIssuer' => '2.5.29.29',
+                'id-ce-holdInstructionCode' => '2.5.29.23',
+                //'holdInstruction' => '1.2.840.10040.2',
+                'id-holdinstruction-none' => '1.2.840.10040.2.1',
+                'id-holdinstruction-callissuer' => '1.2.840.10040.2.2',
+                'id-holdinstruction-reject' => '1.2.840.10040.2.3',
+                'id-ce-invalidityDate' => '2.5.29.24',
+
+                'rsaEncryption' => '1.2.840.113549.1.1.1',
+                'md2WithRSAEncryption' => '1.2.840.113549.1.1.2',
+                'md5WithRSAEncryption' => '1.2.840.113549.1.1.4',
+                'sha1WithRSAEncryption' => '1.2.840.113549.1.1.5',
+                'sha224WithRSAEncryption' => '1.2.840.113549.1.1.14',
+                'sha256WithRSAEncryption' => '1.2.840.113549.1.1.11',
+                'sha384WithRSAEncryption' => '1.2.840.113549.1.1.12',
+                'sha512WithRSAEncryption' => '1.2.840.113549.1.1.13',
+
+                'id-ecPublicKey' => '1.2.840.10045.2.1',
+                'ecdsa-with-SHA1' => '1.2.840.10045.4.1',
+                // from https://tools.ietf.org/html/rfc5758#section-3.2
+                'ecdsa-with-SHA224' => '1.2.840.10045.4.3.1',
+                'ecdsa-with-SHA256' => '1.2.840.10045.4.3.2',
+                'ecdsa-with-SHA384' => '1.2.840.10045.4.3.3',
+                'ecdsa-with-SHA512' => '1.2.840.10045.4.3.4',
+
+                'id-dsa' => '1.2.840.10040.4.1',
+                'id-dsa-with-sha1' => '1.2.840.10040.4.3',
+                // from https://tools.ietf.org/html/rfc5758#section-3.1
+                'id-dsa-with-sha224' => '2.16.840.1.101.3.4.3.1',
+                'id-dsa-with-sha256' => '2.16.840.1.101.3.4.3.2',
+
+                // from https://tools.ietf.org/html/rfc8410:
+                'id-Ed25519' => '1.3.101.112',
+                'id-Ed448' => '1.3.101.113',
+
+                'id-RSASSA-PSS' => '1.2.840.113549.1.1.10',
+
+                //'id-sha224' => '2.16.840.1.101.3.4.2.4',
+                //'id-sha256' => '2.16.840.1.101.3.4.2.1',
+                //'id-sha384' => '2.16.840.1.101.3.4.2.2',
+                //'id-sha512' => '2.16.840.1.101.3.4.2.3',
+                //'id-GostR3411-94-with-GostR3410-94' => '1.2.643.2.2.4',
+                //'id-GostR3411-94-with-GostR3410-2001' => '1.2.643.2.2.3',
+                //'id-GostR3410-2001' => '1.2.643.2.2.20',
+                //'id-GostR3410-94' => '1.2.643.2.2.19',
+                // Netscape Object Identifiers from "Netscape Certificate Extensions"
+                'netscape' => '2.16.840.1.113730',
+                'netscape-cert-extension' => '2.16.840.1.113730.1',
+                'netscape-cert-type' => '2.16.840.1.113730.1.1',
+                'netscape-comment' => '2.16.840.1.113730.1.13',
+                'netscape-ca-policy-url' => '2.16.840.1.113730.1.8',
+                // the following are X.509 extensions not supported by phpseclib
+                'id-pe-logotype' => '1.3.6.1.5.5.7.1.12',
+                'entrustVersInfo' => '1.2.840.113533.7.65.0',
+                'verisignPrivate' => '2.16.840.1.113733.1.6.9',
+                // for Certificate Signing Requests
+                // see http://tools.ietf.org/html/rfc2985
+                'pkcs-9-at-unstructuredName' => '1.2.840.113549.1.9.2', // PKCS #9 unstructured name
+                'pkcs-9-at-challengePassword' => '1.2.840.113549.1.9.7', // Challenge password for certificate revocations
+                'pkcs-9-at-extensionRequest' => '1.2.840.113549.1.9.14' // Certificate extension request
+            ]);
+        }
+    }
+
+    /**
+     * Load X.509 certificate
+     *
+     * Returns an associative array describing the X.509 cert or a false if the cert failed to load
+     *
+     * @param string $cert
+     * @param int $mode
+     * @access public
+     * @return mixed
+     */
+    public function loadX509($cert, $mode = self::FORMAT_AUTO_DETECT)
+    {
+        if (is_array($cert) && isset($cert['tbsCertificate'])) {
+            unset($this->currentCert);
+            unset($this->currentKeyIdentifier);
+            $this->dn = $cert['tbsCertificate']['subject'];
+            if (!isset($this->dn)) {
+                return false;
+            }
+            $this->currentCert = $cert;
+
+            $currentKeyIdentifier = $this->getExtension('id-ce-subjectKeyIdentifier');
+            $this->currentKeyIdentifier = is_string($currentKeyIdentifier) ? $currentKeyIdentifier : null;
+
+            unset($this->signatureSubject);
+
+            return $cert;
+        }
+
+        if ($mode != self::FORMAT_DER) {
+            $newcert = ASN1::extractBER($cert);
+            if ($mode == self::FORMAT_PEM && $cert == $newcert) {
+                return false;
+            }
+            $cert = $newcert;
+        }
+
+        if ($cert === false) {
+            $this->currentCert = false;
+            return false;
+        }
+
+        $decoded = ASN1::decodeBER($cert);
+
+        if (!empty($decoded)) {
+            $x509 = ASN1::asn1map($decoded[0], Maps\Certificate::MAP);
+        }
+        if (!isset($x509) || $x509 === false) {
+            $this->currentCert = false;
+            return false;
+        }
+
+        $this->signatureSubject = substr($cert, $decoded[0]['content'][0]['start'], $decoded[0]['content'][0]['length']);
+
+        if ($this->isSubArrayValid($x509, 'tbsCertificate/extensions')) {
+            $this->mapInExtensions($x509, 'tbsCertificate/extensions');
+        }
+        $this->mapInDNs($x509, 'tbsCertificate/issuer/rdnSequence');
+        $this->mapInDNs($x509, 'tbsCertificate/subject/rdnSequence');
+
+        $key = $x509['tbsCertificate']['subjectPublicKeyInfo'];
+        $key = ASN1::encodeDER($key, Maps\SubjectPublicKeyInfo::MAP);
+        $x509['tbsCertificate']['subjectPublicKeyInfo']['subjectPublicKey'] =
+            "-----BEGIN PUBLIC KEY-----\r\n" .
+            chunk_split(base64_encode($key), 64) .
+            "-----END PUBLIC KEY-----";
+
+        $this->currentCert = $x509;
+        $this->dn = $x509['tbsCertificate']['subject'];
+
+        $currentKeyIdentifier = $this->getExtension('id-ce-subjectKeyIdentifier');
+        $this->currentKeyIdentifier = is_string($currentKeyIdentifier) ? $currentKeyIdentifier : null;
+
+        return $x509;
+    }
+
+    /**
+     * Save X.509 certificate
+     *
+     * @param array $cert
+     * @param int $format optional
+     * @access public
+     * @return string
+     */
+    public function saveX509($cert, $format = self::FORMAT_PEM)
+    {
+        if (!is_array($cert) || !isset($cert['tbsCertificate'])) {
+            return false;
+        }
+
+        switch (true) {
+            // "case !$a: case !$b: break; default: whatever();" is the same thing as "if ($a && $b) whatever()"
+            case !($algorithm = $this->subArray($cert, 'tbsCertificate/subjectPublicKeyInfo/algorithm/algorithm')):
+            case is_object($cert['tbsCertificate']['subjectPublicKeyInfo']['subjectPublicKey']):
+                break;
+            default:
+                $cert['tbsCertificate']['subjectPublicKeyInfo'] = new Element(
+                    base64_decode(preg_replace('#-.+-|[\r\n]#', '', $cert['tbsCertificate']['subjectPublicKeyInfo']['subjectPublicKey']))
+                );
+        }
+
+        if ($algorithm == 'rsaEncryption') {
+            $cert['signatureAlgorithm']['parameters'] = null;
+            $cert['tbsCertificate']['signature']['parameters'] = null;
+        }
+
+        $filters = [];
+        $type_utf8_string = ['type' => ASN1::TYPE_UTF8_STRING];
+        $filters['tbsCertificate']['signature']['parameters'] = $type_utf8_string;
+        $filters['tbsCertificate']['signature']['issuer']['rdnSequence']['value'] = $type_utf8_string;
+        $filters['tbsCertificate']['issuer']['rdnSequence']['value'] = $type_utf8_string;
+        $filters['tbsCertificate']['subject']['rdnSequence']['value'] = $type_utf8_string;
+        $filters['tbsCertificate']['subjectPublicKeyInfo']['algorithm']['parameters'] = $type_utf8_string;
+        $filters['signatureAlgorithm']['parameters'] = $type_utf8_string;
+        $filters['authorityCertIssuer']['directoryName']['rdnSequence']['value'] = $type_utf8_string;
+        //$filters['policyQualifiers']['qualifier'] = $type_utf8_string;
+        $filters['distributionPoint']['fullName']['directoryName']['rdnSequence']['value'] = $type_utf8_string;
+        $filters['directoryName']['rdnSequence']['value'] = $type_utf8_string;
+
+        foreach (self::$extensions as $extension) {
+            $filters['tbsCertificate']['extensions'][] = $extension;
+        }
+
+        /* in the case of policyQualifiers/qualifier, the type has to be \phpseclib3\File\ASN1::TYPE_IA5_STRING.
+           \phpseclib3\File\ASN1::TYPE_PRINTABLE_STRING will cause OpenSSL's X.509 parser to spit out random
+           characters.
+         */
+        $filters['policyQualifiers']['qualifier']
+            = ['type' => ASN1::TYPE_IA5_STRING];
+
+        ASN1::setFilters($filters);
+
+        $this->mapOutExtensions($cert, 'tbsCertificate/extensions');
+        $this->mapOutDNs($cert, 'tbsCertificate/issuer/rdnSequence');
+        $this->mapOutDNs($cert, 'tbsCertificate/subject/rdnSequence');
+
+        $cert = ASN1::encodeDER($cert, Maps\Certificate::MAP);
+
+        switch ($format) {
+            case self::FORMAT_DER:
+                return $cert;
+            // case self::FORMAT_PEM:
+            default:
+                return "-----BEGIN CERTIFICATE-----\r\n" . chunk_split(Base64::encode($cert), 64) . '-----END CERTIFICATE-----';
+        }
+    }
+
+    /**
+     * Map extension values from octet string to extension-specific internal
+     *   format.
+     *
+     * @param array $root (by reference)
+     * @param string $path
+     * @access private
+     */
+    private function mapInExtensions(&$root, $path)
+    {
+        $extensions = &$this->subArrayUnchecked($root, $path);
+
+        if ($extensions) {
+            for ($i = 0; $i < count($extensions); $i++) {
+                $id = $extensions[$i]['extnId'];
+                $value = &$extensions[$i]['extnValue'];
+                $decoded = ASN1::decodeBER($value);
+                /* [extnValue] contains the DER encoding of an ASN.1 value
+                   corresponding to the extension type identified by extnID */
+                $map = $this->getMapping($id);
+                if (!is_bool($map)) {
+                    $decoder = $id == 'id-ce-nameConstraints' ?
+                        [static::class, 'decodeNameConstraintIP'] :
+                        [static::class, 'decodeIP'];
+                    $mapped = ASN1::asn1map($decoded[0], $map, ['iPAddress' => $decoder]);
+                    $value = $mapped === false ? $decoded[0] : $mapped;
+
+                    if ($id == 'id-ce-certificatePolicies') {
+                        for ($j = 0; $j < count($value); $j++) {
+                            if (!isset($value[$j]['policyQualifiers'])) {
+                                continue;
+                            }
+                            for ($k = 0; $k < count($value[$j]['policyQualifiers']); $k++) {
+                                $subid = $value[$j]['policyQualifiers'][$k]['policyQualifierId'];
+                                $map = $this->getMapping($subid);
+                                $subvalue = &$value[$j]['policyQualifiers'][$k]['qualifier'];
+                                if ($map !== false) {
+                                    $decoded = ASN1::decodeBER($subvalue);
+                                    $mapped = ASN1::asn1map($decoded[0], $map);
+                                    $subvalue = $mapped === false ? $decoded[0] : $mapped;
+                                }
+                            }
+                        }
+                    }
+                }
+            }
+        }
+    }
+
+    /**
+     * Map extension values from extension-specific internal format to
+     *   octet string.
+     *
+     * @param array $root (by reference)
+     * @param string $path
+     * @access private
+     */
+    private function mapOutExtensions(&$root, $path)
+    {
+        foreach ($this->extensionValues as $id => $value) {
+            $root['tbsCertificate']['extensions'][] = [
+                'extnId' => $id,
+                'extnValue' => $value,
+            ];
+        }
+
+        $extensions = &$this->subArray($root, $path);
+
+        if (is_array($extensions)) {
+            $size = count($extensions);
+            for ($i = 0; $i < $size; $i++) {
+                if ($extensions[$i] instanceof Element) {
+                    continue;
+                }
+
+                $id = $extensions[$i]['extnId'];
+                $value = &$extensions[$i]['extnValue'];
+
+                switch ($id) {
+                    case 'id-ce-certificatePolicies':
+                        for ($j = 0; $j < count($value); $j++) {
+                            if (!isset($value[$j]['policyQualifiers'])) {
+                                continue;
+                            }
+                            for ($k = 0; $k < count($value[$j]['policyQualifiers']); $k++) {
+                                $subid = $value[$j]['policyQualifiers'][$k]['policyQualifierId'];
+                                $map = $this->getMapping($subid);
+                                $subvalue = &$value[$j]['policyQualifiers'][$k]['qualifier'];
+                                if ($map !== false) {
+                                    // by default \phpseclib3\File\ASN1 will try to render qualifier as a \phpseclib3\File\ASN1::TYPE_IA5_STRING since it's
+                                    // actual type is \phpseclib3\File\ASN1::TYPE_ANY
+                                    $subvalue = new Element(ASN1::encodeDER($subvalue, $map));
+                                }
+                            }
+                        }
+                        break;
+                    case 'id-ce-authorityKeyIdentifier': // use 00 as the serial number instead of an empty string
+                        if (isset($value['authorityCertSerialNumber'])) {
+                            if ($value['authorityCertSerialNumber']->toBytes() == '') {
+                                $temp = chr((ASN1::CLASS_CONTEXT_SPECIFIC << 6) | 2) . "\1\0";
+                                $value['authorityCertSerialNumber'] = new Element($temp);
+                            }
+                        }
+                }
+
+                /* [extnValue] contains the DER encoding of an ASN.1 value
+                   corresponding to the extension type identified by extnID */
+                $map = $this->getMapping($id);
+                if (is_bool($map)) {
+                    if (!$map) {
+                        //user_error($id . ' is not a currently supported extension');
+                        unset($extensions[$i]);
+                    }
+                } else {
+                    $value = ASN1::encodeDER($value, $map, ['iPAddress' => [static::class, 'encodeIP']]);
+                }
+            }
+        }
+    }
+
+    /**
+     * Map attribute values from ANY type to attribute-specific internal
+     *   format.
+     *
+     * @param array $root (by reference)
+     * @param string $path
+     * @access private
+     */
+    private function mapInAttributes(&$root, $path)
+    {
+        $attributes = &$this->subArray($root, $path);
+
+        if (is_array($attributes)) {
+            for ($i = 0; $i < count($attributes); $i++) {
+                $id = $attributes[$i]['type'];
+                /* $value contains the DER encoding of an ASN.1 value
+                   corresponding to the attribute type identified by type */
+                $map = $this->getMapping($id);
+                if (is_array($attributes[$i]['value'])) {
+                    $values = &$attributes[$i]['value'];
+                    for ($j = 0; $j < count($values); $j++) {
+                        $value = ASN1::encodeDER($values[$j], Maps\AttributeValue::MAP);
+                        $decoded = ASN1::decodeBER($value);
+                        if (!is_bool($map)) {
+                            $mapped = ASN1::asn1map($decoded[0], $map);
+                            if ($mapped !== false) {
+                                $values[$j] = $mapped;
+                            }
+                            if ($id == 'pkcs-9-at-extensionRequest' && $this->isSubArrayValid($values, $j)) {
+                                $this->mapInExtensions($values, $j);
+                            }
+                        } elseif ($map) {
+                            $values[$j] = $value;
+                        }
+                    }
+                }
+            }
+        }
+    }
+
+    /**
+     * Map attribute values from attribute-specific internal format to
+     *   ANY type.
+     *
+     * @param array $root (by reference)
+     * @param string $path
+     * @access private
+     */
+    private function mapOutAttributes(&$root, $path)
+    {
+        $attributes = &$this->subArray($root, $path);
+
+        if (is_array($attributes)) {
+            $size = count($attributes);
+            for ($i = 0; $i < $size; $i++) {
+                /* [value] contains the DER encoding of an ASN.1 value
+                   corresponding to the attribute type identified by type */
+                $id = $attributes[$i]['type'];
+                $map = $this->getMapping($id);
+                if ($map === false) {
+                    //user_error($id . ' is not a currently supported attribute', E_USER_NOTICE);
+                    unset($attributes[$i]);
+                } elseif (is_array($attributes[$i]['value'])) {
+                    $values = &$attributes[$i]['value'];
+                    for ($j = 0; $j < count($values); $j++) {
+                        switch ($id) {
+                            case 'pkcs-9-at-extensionRequest':
+                                $this->mapOutExtensions($values, $j);
+                                break;
+                        }
+
+                        if (!is_bool($map)) {
+                            $temp = ASN1::encodeDER($values[$j], $map);
+                            $decoded = ASN1::decodeBER($temp);
+                            $values[$j] = ASN1::asn1map($decoded[0], Maps\AttributeValue::MAP);
+                        }
+                    }
+                }
+            }
+        }
+    }
+
+    /**
+     * Map DN values from ANY type to DN-specific internal
+     *   format.
+     *
+     * @param array $root (by reference)
+     * @param string $path
+     * @access private
+     */
+    private function mapInDNs(&$root, $path)
+    {
+        $dns = &$this->subArray($root, $path);
+
+        if (is_array($dns)) {
+            for ($i = 0; $i < count($dns); $i++) {
+                for ($j = 0; $j < count($dns[$i]); $j++) {
+                    $type = $dns[$i][$j]['type'];
+                    $value = &$dns[$i][$j]['value'];
+                    if (is_object($value) && $value instanceof Element) {
+                        $map = $this->getMapping($type);
+                        if (!is_bool($map)) {
+                            $decoded = ASN1::decodeBER($value);
+                            $value = ASN1::asn1map($decoded[0], $map);
+                        }
+                    }
+                }
+            }
+        }
+    }
+
+    /**
+     * Map DN values from DN-specific internal format to
+     *   ANY type.
+     *
+     * @param array $root (by reference)
+     * @param string $path
+     * @access private
+     */
+    private function mapOutDNs(&$root, $path)
+    {
+        $dns = &$this->subArray($root, $path);
+
+        if (is_array($dns)) {
+            $size = count($dns);
+            for ($i = 0; $i < $size; $i++) {
+                for ($j = 0; $j < count($dns[$i]); $j++) {
+                    $type = $dns[$i][$j]['type'];
+                    $value = &$dns[$i][$j]['value'];
+                    if (is_object($value) && $value instanceof Element) {
+                        continue;
+                    }
+
+                    $map = $this->getMapping($type);
+                    if (!is_bool($map)) {
+                        $value = new Element(ASN1::encodeDER($value, $map));
+                    }
+                }
+            }
+        }
+    }
+
+    /**
+     * Associate an extension ID to an extension mapping
+     *
+     * @param string $extnId
+     * @access private
+     * @return mixed
+     */
+    private function getMapping($extnId)
+    {
+        if (!is_string($extnId)) { // eg. if it's a \phpseclib3\File\ASN1\Element object
+            return true;
+        }
+
+        if (isset(self::$extensions[$extnId])) {
+            return self::$extensions[$extnId];
+        }
+
+        switch ($extnId) {
+            case 'id-ce-keyUsage':
+                return Maps\KeyUsage::MAP;
+            case 'id-ce-basicConstraints':
+                return Maps\BasicConstraints::MAP;
+            case 'id-ce-subjectKeyIdentifier':
+                return Maps\KeyIdentifier::MAP;
+            case 'id-ce-cRLDistributionPoints':
+                return Maps\CRLDistributionPoints::MAP;
+            case 'id-ce-authorityKeyIdentifier':
+                return Maps\AuthorityKeyIdentifier::MAP;
+            case 'id-ce-certificatePolicies':
+                return Maps\CertificatePolicies::MAP;
+            case 'id-ce-extKeyUsage':
+                return Maps\ExtKeyUsageSyntax::MAP;
+            case 'id-pe-authorityInfoAccess':
+                return Maps\AuthorityInfoAccessSyntax::MAP;
+            case 'id-ce-subjectAltName':
+                return Maps\SubjectAltName::MAP;
+            case 'id-ce-subjectDirectoryAttributes':
+                return Maps\SubjectDirectoryAttributes::MAP;
+            case 'id-ce-privateKeyUsagePeriod':
+                return Maps\PrivateKeyUsagePeriod::MAP;
+            case 'id-ce-issuerAltName':
+                return Maps\IssuerAltName::MAP;
+            case 'id-ce-policyMappings':
+                return Maps\PolicyMappings::MAP;
+            case 'id-ce-nameConstraints':
+                return Maps\NameConstraints::MAP;
+
+            case 'netscape-cert-type':
+                return Maps\netscape_cert_type::MAP;
+            case 'netscape-comment':
+                return Maps\netscape_comment::MAP;
+            case 'netscape-ca-policy-url':
+                return Maps\netscape_ca_policy_url::MAP;
+
+            // since id-qt-cps isn't a constructed type it will have already been decoded as a string by the time it gets
+            // back around to asn1map() and we don't want it decoded again.
+            //case 'id-qt-cps':
+            //    return Maps\CPSuri::MAP;
+            case 'id-qt-unotice':
+                return Maps\UserNotice::MAP;
+
+            // the following OIDs are unsupported but we don't want them to give notices when calling saveX509().
+            case 'id-pe-logotype': // http://www.ietf.org/rfc/rfc3709.txt
+            case 'entrustVersInfo':
+            // http://support.microsoft.com/kb/287547
+            case '1.3.6.1.4.1.311.20.2': // szOID_ENROLL_CERTTYPE_EXTENSION
+            case '1.3.6.1.4.1.311.21.1': // szOID_CERTSRV_CA_VERSION
+            // "SET Secure Electronic Transaction Specification"
+            // http://www.maithean.com/docs/set_bk3.pdf
+            case '2.23.42.7.0': // id-set-hashedRootKey
+            // "Certificate Transparency"
+            // https://tools.ietf.org/html/rfc6962
+            case '1.3.6.1.4.1.11129.2.4.2':
+            // "Qualified Certificate statements"
+            // https://tools.ietf.org/html/rfc3739#section-3.2.6
+            case '1.3.6.1.5.5.7.1.3':
+                return true;
+
+            // CSR attributes
+            case 'pkcs-9-at-unstructuredName':
+                return Maps\PKCS9String::MAP;
+            case 'pkcs-9-at-challengePassword':
+                return Maps\DirectoryString::MAP;
+            case 'pkcs-9-at-extensionRequest':
+                return Maps\Extensions::MAP;
+
+            // CRL extensions.
+            case 'id-ce-cRLNumber':
+                return Maps\CRLNumber::MAP;
+            case 'id-ce-deltaCRLIndicator':
+                return Maps\CRLNumber::MAP;
+            case 'id-ce-issuingDistributionPoint':
+                return Maps\IssuingDistributionPoint::MAP;
+            case 'id-ce-freshestCRL':
+                return Maps\CRLDistributionPoints::MAP;
+            case 'id-ce-cRLReasons':
+                return Maps\CRLReason::MAP;
+            case 'id-ce-invalidityDate':
+                return Maps\InvalidityDate::MAP;
+            case 'id-ce-certificateIssuer':
+                return Maps\CertificateIssuer::MAP;
+            case 'id-ce-holdInstructionCode':
+                return Maps\HoldInstructionCode::MAP;
+            case 'id-at-postalAddress':
+                return Maps\PostalAddress::MAP;
+        }
+
+        return false;
+    }
+
+    /**
+     * Load an X.509 certificate as a certificate authority
+     *
+     * @param string $cert
+     * @access public
+     * @return bool
+     */
+    public function loadCA($cert)
+    {
+        $olddn = $this->dn;
+        $oldcert = $this->currentCert;
+        $oldsigsubj = $this->signatureSubject;
+        $oldkeyid = $this->currentKeyIdentifier;
+
+        $cert = $this->loadX509($cert);
+        if (!$cert) {
+            $this->dn = $olddn;
+            $this->currentCert = $oldcert;
+            $this->signatureSubject = $oldsigsubj;
+            $this->currentKeyIdentifier = $oldkeyid;
+
+            return false;
+        }
+
+        /* From RFC5280 "PKIX Certificate and CRL Profile":
+
+           If the keyUsage extension is present, then the subject public key
+           MUST NOT be used to verify signatures on certificates or CRLs unless
+           the corresponding keyCertSign or cRLSign bit is set. */
+        //$keyUsage = $this->getExtension('id-ce-keyUsage');
+        //if ($keyUsage && !in_array('keyCertSign', $keyUsage)) {
+        //    return false;
+        //}
+
+        /* From RFC5280 "PKIX Certificate and CRL Profile":
+
+           The cA boolean indicates whether the certified public key may be used
+           to verify certificate signatures.  If the cA boolean is not asserted,
+           then the keyCertSign bit in the key usage extension MUST NOT be
+           asserted.  If the basic constraints extension is not present in a
+           version 3 certificate, or the extension is present but the cA boolean
+           is not asserted, then the certified public key MUST NOT be used to
+           verify certificate signatures. */
+        //$basicConstraints = $this->getExtension('id-ce-basicConstraints');
+        //if (!$basicConstraints || !$basicConstraints['cA']) {
+        //    return false;
+        //}
+
+        $this->CAs[] = $cert;
+
+        $this->dn = $olddn;
+        $this->currentCert = $oldcert;
+        $this->signatureSubject = $oldsigsubj;
+
+        return true;
+    }
+
+    /**
+     * Validate an X.509 certificate against a URL
+     *
+     * From RFC2818 "HTTP over TLS":
+     *
+     * Matching is performed using the matching rules specified by
+     * [RFC2459].  If more than one identity of a given type is present in
+     * the certificate (e.g., more than one dNSName name, a match in any one
+     * of the set is considered acceptable.) Names may contain the wildcard
+     * character * which is considered to match any single domain name
+     * component or component fragment. E.g., *.a.com matches foo.a.com but
+     * not bar.foo.a.com. f*.com matches foo.com but not bar.com.
+     *
+     * @param string $url
+     * @access public
+     * @return bool
+     */
+    public function validateURL($url)
+    {
+        if (!is_array($this->currentCert) || !isset($this->currentCert['tbsCertificate'])) {
+            return false;
+        }
+
+        $components = parse_url($url);
+        if (!isset($components['host'])) {
+            return false;
+        }
+
+        if ($names = $this->getExtension('id-ce-subjectAltName')) {
+            foreach ($names as $name) {
+                foreach ($name as $key => $value) {
+                    $value = str_replace(['.', '*'], ['\.', '[^.]*'], $value);
+                    switch ($key) {
+                        case 'dNSName':
+                            /* From RFC2818 "HTTP over TLS":
+
+                               If a subjectAltName extension of type dNSName is present, that MUST
+                               be used as the identity. Otherwise, the (most specific) Common Name
+                               field in the Subject field of the certificate MUST be used. Although
+                               the use of the Common Name is existing practice, it is deprecated and
+                               Certification Authorities are encouraged to use the dNSName instead. */
+                            if (preg_match('#^' . $value . '$#', $components['host'])) {
+                                return true;
+                            }
+                            break;
+                        case 'iPAddress':
+                            /* From RFC2818 "HTTP over TLS":
+
+                               In some cases, the URI is specified as an IP address rather than a
+                               hostname. In this case, the iPAddress subjectAltName must be present
+                               in the certificate and must exactly match the IP in the URI. */
+                            if (preg_match('#(?:\d{1-3}\.){4}#', $components['host'] . '.') && preg_match('#^' . $value . '$#', $components['host'])) {
+                                return true;
+                            }
+                    }
+                }
+            }
+            return false;
+        }
+
+        if ($value = $this->getDNProp('id-at-commonName')) {
+            $value = str_replace(['.', '*'], ['\.', '[^.]*'], $value[0]);
+            return preg_match('#^' . $value . '$#', $components['host']);
+        }
+
+        return false;
+    }
+
+    /**
+     * Validate a date
+     *
+     * If $date isn't defined it is assumed to be the current date.
+     *
+     * @param DateTimeInterface|string $date optional
+     * @access public
+     * @return boolean
+     */
+    public function validateDate($date = null)
+    {
+        if (!is_array($this->currentCert) || !isset($this->currentCert['tbsCertificate'])) {
+            return false;
+        }
+
+        if (!isset($date)) {
+            $date = new DateTimeImmutable(null, new DateTimeZone(@date_default_timezone_get()));
+        }
+
+        $notBefore = $this->currentCert['tbsCertificate']['validity']['notBefore'];
+        $notBefore = isset($notBefore['generalTime']) ? $notBefore['generalTime'] : $notBefore['utcTime'];
+
+        $notAfter = $this->currentCert['tbsCertificate']['validity']['notAfter'];
+        $notAfter = isset($notAfter['generalTime']) ? $notAfter['generalTime'] : $notAfter['utcTime'];
+
+        if (is_string($date)) {
+            $date = new DateTimeImmutable($date, new DateTimeZone(@date_default_timezone_get()));
+        }
+
+        $notBefore = new DateTimeImmutable($notBefore, new DateTimeZone(@date_default_timezone_get()));
+        $notAfter = new DateTimeImmutable($notAfter, new DateTimeZone(@date_default_timezone_get()));
+
+        return $date >= $notBefore && $date<= $notAfter;
+    }
+
+    /**
+     * Fetches a URL
+     *
+     * @param string $url
+     * @access private
+     * @return bool|string
+     */
+    private static function fetchURL($url)
+    {
+        if (self::$disable_url_fetch) {
+            return false;
+        }
+
+        $parts = parse_url($url);
+        $data = '';
+        switch ($parts['scheme']) {
+            case 'http':
+                $fsock = @fsockopen($parts['host'], isset($parts['port']) ? $parts['port'] : 80);
+                if (!$fsock) {
+                    return false;
+                }
+                fputs($fsock, "GET $parts[path] HTTP/1.0\r\n");
+                fputs($fsock, "Host: $parts[host]\r\n\r\n");
+                $line = fgets($fsock, 1024);
+                if (strlen($line) < 3) {
+                    return false;
+                }
+                preg_match('#HTTP/1.\d (\d{3})#', $line, $temp);
+                if ($temp[1] != '200') {
+                    return false;
+                }
+
+                // skip the rest of the headers in the http response
+                while (!feof($fsock) && fgets($fsock, 1024) != "\r\n") {
+                }
+
+                while (!feof($fsock)) {
+                    $temp = fread($fsock, 1024);
+                    if ($temp === false) {
+                        return false;
+                    }
+                    $data.= $temp;
+                }
+
+                break;
+            //case 'ftp':
+            //case 'ldap':
+            //default:
+        }
+
+        return $data;
+    }
+
+    /**
+     * Validates an intermediate cert as identified via authority info access extension
+     *
+     * See https://tools.ietf.org/html/rfc4325 for more info
+     *
+     * @param bool $caonly
+     * @param int $count
+     * @access private
+     * @return bool
+     */
+    private function testForIntermediate($caonly, $count)
+    {
+        $opts = $this->getExtension('id-pe-authorityInfoAccess');
+        if (!is_array($opts)) {
+            return false;
+        }
+        foreach ($opts as $opt) {
+            if ($opt['accessMethod'] == 'id-ad-caIssuers') {
+                // accessLocation is a GeneralName. GeneralName fields support stuff like email addresses, IP addresses, LDAP,
+                // etc, but we're only supporting URI's. URI's and LDAP are the only thing https://tools.ietf.org/html/rfc4325
+                // discusses
+                if (isset($opt['accessLocation']['uniformResourceIdentifier'])) {
+                    $url = $opt['accessLocation']['uniformResourceIdentifier'];
+                    break;
+                }
+            }
+        }
+
+        if (!isset($url)) {
+            return false;
+        }
+
+        $cert = static::fetchURL($url);
+        if (!is_string($cert)) {
+            return false;
+        }
+
+        $parent = new static();
+        $parent->CAs = $this->CAs;
+        /*
+         "Conforming applications that support HTTP or FTP for accessing
+          certificates MUST be able to accept .cer files and SHOULD be able
+          to accept .p7c files." -- https://tools.ietf.org/html/rfc4325
+
+         A .p7c file is 'a "certs-only" CMS message as specified in RFC 2797"
+
+         These are currently unsupported
+        */
+        if (!is_array($parent->loadX509($cert))) {
+            return false;
+        }
+
+        if (!$parent->validateSignatureCountable($caonly, ++$count)) {
+            return false;
+        }
+
+        $this->CAs[] = $parent->currentCert;
+        //$this->loadCA($cert);
+
+        return true;
+    }
+
+    /**
+     * Validate a signature
+     *
+     * Works on X.509 certs, CSR's and CRL's.
+     * Returns true if the signature is verified, false if it is not correct or null on error
+     *
+     * By default returns false for self-signed certs. Call validateSignature(false) to make this support
+     * self-signed.
+     *
+     * The behavior of this function is inspired by {@link http://php.net/openssl-verify openssl_verify}.
+     *
+     * @param bool $caonly optional
+     * @access public
+     * @return mixed
+     */
+    public function validateSignature($caonly = true)
+    {
+        return $this->validateSignatureCountable($caonly, 0);
+    }
+
+    /**
+     * Validate a signature
+     *
+     * Performs said validation whilst keeping track of how many times validation method is called
+     *
+     * @param bool $caonly
+     * @param int $count
+     * @access private
+     * @return mixed
+     */
+    private function validateSignatureCountable($caonly, $count)
+    {
+        if (!is_array($this->currentCert) || !isset($this->signatureSubject)) {
+            return null;
+        }
+
+        if ($count == self::$recur_limit) {
+            return false;
+        }
+
+        /* TODO:
+           "emailAddress attribute values are not case-sensitive (e.g., "subscriber@example.com" is the same as "SUBSCRIBER@EXAMPLE.COM")."
+            -- http://tools.ietf.org/html/rfc5280#section-4.1.2.6
+
+           implement pathLenConstraint in the id-ce-basicConstraints extension */
+
+        switch (true) {
+            case isset($this->currentCert['tbsCertificate']):
+                // self-signed cert
+                switch (true) {
+                    case !defined('FILE_X509_IGNORE_TYPE') && $this->currentCert['tbsCertificate']['issuer'] === $this->currentCert['tbsCertificate']['subject']:
+                    case defined('FILE_X509_IGNORE_TYPE') && $this->getIssuerDN(self::DN_STRING) === $this->getDN(self::DN_STRING):
+                        $authorityKey = $this->getExtension('id-ce-authorityKeyIdentifier');
+                        $subjectKeyID = $this->getExtension('id-ce-subjectKeyIdentifier');
+                        switch (true) {
+                            case !is_array($authorityKey):
+                            case !$subjectKeyID:
+                            case isset($authorityKey['keyIdentifier']) && $authorityKey['keyIdentifier'] === $subjectKeyID:
+                                $signingCert = $this->currentCert; // working cert
+                        }
+                }
+
+                if (!empty($this->CAs)) {
+                    for ($i = 0; $i < count($this->CAs); $i++) {
+                        // even if the cert is a self-signed one we still want to see if it's a CA;
+                        // if not, we'll conditionally return an error
+                        $ca = $this->CAs[$i];
+                        switch (true) {
+                            case !defined('FILE_X509_IGNORE_TYPE') && $this->currentCert['tbsCertificate']['issuer'] === $ca['tbsCertificate']['subject']:
+                            case defined('FILE_X509_IGNORE_TYPE') && $this->getDN(self::DN_STRING, $this->currentCert['tbsCertificate']['issuer']) === $this->getDN(self::DN_STRING, $ca['tbsCertificate']['subject']):
+                                $authorityKey = $this->getExtension('id-ce-authorityKeyIdentifier');
+                                $subjectKeyID = $this->getExtension('id-ce-subjectKeyIdentifier', $ca);
+                                switch (true) {
+                                    case !is_array($authorityKey):
+                                    case !$subjectKeyID:
+                                    case isset($authorityKey['keyIdentifier']) && $authorityKey['keyIdentifier'] === $subjectKeyID:
+                                        if (is_array($authorityKey) && isset($authorityKey['authorityCertSerialNumber']) && !$authorityKey['authorityCertSerialNumber']->equals($ca['tbsCertificate']['serialNumber'])) {
+                                            break 2; // serial mismatch - check other ca
+                                        }
+                                        $signingCert = $ca; // working cert
+                                        break 3;
+                                }
+                        }
+                    }
+                    if (count($this->CAs) == $i && $caonly) {
+                        return $this->testForIntermediate($caonly, $count) && $this->validateSignature($caonly);
+                    }
+                } elseif (!isset($signingCert) || $caonly) {
+                    return $this->testForIntermediate($caonly, $count) && $this->validateSignature($caonly);
+                }
+                return $this->validateSignatureHelper(
+                    $signingCert['tbsCertificate']['subjectPublicKeyInfo']['algorithm']['algorithm'],
+                    $signingCert['tbsCertificate']['subjectPublicKeyInfo']['subjectPublicKey'],
+                    $this->currentCert['signatureAlgorithm']['algorithm'],
+                    substr($this->currentCert['signature'], 1),
+                    $this->signatureSubject
+                );
+            case isset($this->currentCert['certificationRequestInfo']):
+                return $this->validateSignatureHelper(
+                    $this->currentCert['certificationRequestInfo']['subjectPKInfo']['algorithm']['algorithm'],
+                    $this->currentCert['certificationRequestInfo']['subjectPKInfo']['subjectPublicKey'],
+                    $this->currentCert['signatureAlgorithm']['algorithm'],
+                    substr($this->currentCert['signature'], 1),
+                    $this->signatureSubject
+                );
+            case isset($this->currentCert['publicKeyAndChallenge']):
+                return $this->validateSignatureHelper(
+                    $this->currentCert['publicKeyAndChallenge']['spki']['algorithm']['algorithm'],
+                    $this->currentCert['publicKeyAndChallenge']['spki']['subjectPublicKey'],
+                    $this->currentCert['signatureAlgorithm']['algorithm'],
+                    substr($this->currentCert['signature'], 1),
+                    $this->signatureSubject
+                );
+            case isset($this->currentCert['tbsCertList']):
+                if (!empty($this->CAs)) {
+                    for ($i = 0; $i < count($this->CAs); $i++) {
+                        $ca = $this->CAs[$i];
+                        switch (true) {
+                            case !defined('FILE_X509_IGNORE_TYPE') && $this->currentCert['tbsCertList']['issuer'] === $ca['tbsCertificate']['subject']:
+                            case defined('FILE_X509_IGNORE_TYPE') && $this->getDN(self::DN_STRING, $this->currentCert['tbsCertList']['issuer']) === $this->getDN(self::DN_STRING, $ca['tbsCertificate']['subject']):
+                                $authorityKey = $this->getExtension('id-ce-authorityKeyIdentifier');
+                                $subjectKeyID = $this->getExtension('id-ce-subjectKeyIdentifier', $ca);
+                                switch (true) {
+                                    case !is_array($authorityKey):
+                                    case !$subjectKeyID:
+                                    case isset($authorityKey['keyIdentifier']) && $authorityKey['keyIdentifier'] === $subjectKeyID:
+                                        if (is_array($authorityKey) && isset($authorityKey['authorityCertSerialNumber']) && !$authorityKey['authorityCertSerialNumber']->equals($ca['tbsCertificate']['serialNumber'])) {
+                                            break 2; // serial mismatch - check other ca
+                                        }
+                                        $signingCert = $ca; // working cert
+                                        break 3;
+                                }
+                        }
+                    }
+                }
+                if (!isset($signingCert)) {
+                    return false;
+                }
+                return $this->validateSignatureHelper(
+                    $signingCert['tbsCertificate']['subjectPublicKeyInfo']['algorithm']['algorithm'],
+                    $signingCert['tbsCertificate']['subjectPublicKeyInfo']['subjectPublicKey'],
+                    $this->currentCert['signatureAlgorithm']['algorithm'],
+                    substr($this->currentCert['signature'], 1),
+                    $this->signatureSubject
+                );
+            default:
+                return false;
+        }
+    }
+
+    /**
+     * Validates a signature
+     *
+     * Returns true if the signature is verified and false if it is not correct.
+     * If the algorithms are unsupposed an exception is thrown.
+     *
+     * @param string $publicKeyAlgorithm
+     * @param string $publicKey
+     * @param string $signatureAlgorithm
+     * @param string $signature
+     * @param string $signatureSubject
+     * @access private
+     * @throws \phpseclib3\Exception\UnsupportedAlgorithmException if the algorithm is unsupported
+     * @return bool
+     */
+    private function validateSignatureHelper($publicKeyAlgorithm, $publicKey, $signatureAlgorithm, $signature, $signatureSubject)
+    {
+        switch ($publicKeyAlgorithm) {
+            case 'id-RSASSA-PSS':
+                $key = RSA::loadFormat('PSS', $publicKey);
+                break;
+            case 'rsaEncryption':
+                $key = RSA::loadFormat('PKCS8', $publicKey);
+                switch ($signatureAlgorithm) {
+                    case 'md2WithRSAEncryption':
+                    case 'md5WithRSAEncryption':
+                    case 'sha1WithRSAEncryption':
+                    case 'sha224WithRSAEncryption':
+                    case 'sha256WithRSAEncryption':
+                    case 'sha384WithRSAEncryption':
+                    case 'sha512WithRSAEncryption':
+                        $key = $key
+                            ->withHash(preg_replace('#WithRSAEncryption$#', '', $signatureAlgorithm))
+                            ->withPadding(RSA::SIGNATURE_PKCS1);
+                        break;
+                    default:
+                        throw new UnsupportedAlgorithmException('Signature algorithm unsupported');
+                }
+                break;
+            case 'id-Ed25519':
+            case 'id-Ed448':
+                $key = EC::loadFormat('PKCS8', $publicKey);
+                break;
+            case 'id-ecPublicKey':
+                $key = EC::loadFormat('PKCS8', $publicKey);
+                switch ($signatureAlgorithm) {
+                    case 'ecdsa-with-SHA1':
+                    case 'ecdsa-with-SHA224':
+                    case 'ecdsa-with-SHA256':
+                    case 'ecdsa-with-SHA384':
+                    case 'ecdsa-with-SHA512':
+                        $key = $key
+                            ->withHash(preg_replace('#^ecdsa-with-#', '', strtolower($signatureAlgorithm)));
+                        break;
+                    default:
+                        throw new UnsupportedAlgorithmException('Signature algorithm unsupported');
+                }
+                break;
+            case 'id-dsa':
+                $key = DSA::loadFormat('PKCS8', $publicKey);
+                switch ($signatureAlgorithm) {
+                    case 'id-dsa-with-sha1':
+                    case 'id-dsa-with-sha224':
+                    case 'id-dsa-with-sha256':
+                        $key = $key
+                            ->withHash(preg_replace('#^id-dsa-with-#', '', strtolower($signatureAlgorithm)));
+                        break;
+                    default:
+                        throw new UnsupportedAlgorithmException('Signature algorithm unsupported');
+                }
+                break;
+            default:
+                throw new UnsupportedAlgorithmException('Public key algorithm unsupported');
+        }
+
+        return $key->verify($signatureSubject, $signature);
+    }
+
+    /**
+     * Sets the recursion limit
+     *
+     * When validating a signature it may be necessary to download intermediate certs from URI's.
+     * An intermediate cert that linked to itself would result in an infinite loop so to prevent
+     * that we set a recursion limit. A negative number means that there is no recursion limit.
+     *
+     * @param int $count
+     * @access public
+     */
+    public static function setRecurLimit($count)
+    {
+        self::$recur_limit = $count;
+    }
+
+    /**
+     * Prevents URIs from being automatically retrieved
+     *
+     * @access public
+     */
+    public static function disableURLFetch()
+    {
+        self::$disable_url_fetch = true;
+    }
+
+    /**
+     * Allows URIs to be automatically retrieved
+     *
+     * @access public
+     */
+    public static function enableURLFetch()
+    {
+        self::$disable_url_fetch = false;
+    }
+
+    /**
+     * Decodes an IP address
+     *
+     * Takes in a base64 encoded "blob" and returns a human readable IP address
+     *
+     * @param string $ip
+     * @access private
+     * @return string
+     */
+    public static function decodeIP($ip)
+    {
+        return inet_ntop($ip);
+    }
+
+    /**
+     * Decodes an IP address in a name constraints extension
+     *
+     * Takes in a base64 encoded "blob" and returns a human readable IP address / mask
+     *
+     * @param string $ip
+     * @access private
+     * @return array
+     */
+    public static function decodeNameConstraintIP($ip)
+    {
+        $size = strlen($ip) >> 1;
+        $mask = substr($ip, $size);
+        $ip = substr($ip, 0, $size);
+        return [inet_ntop($ip), inet_ntop($mask)];
+    }
+
+    /**
+     * Encodes an IP address
+     *
+     * Takes a human readable IP address into a base64-encoded "blob"
+     *
+     * @param string|array $ip
+     * @access private
+     * @return string
+     */
+    public static function encodeIP($ip)
+    {
+        return is_string($ip) ?
+            inet_pton($ip) :
+            inet_pton($ip[0]) . inet_pton($ip[1]);
+    }
+
+    /**
+     * "Normalizes" a Distinguished Name property
+     *
+     * @param string $propName
+     * @access private
+     * @return mixed
+     */
+    private function translateDNProp($propName)
+    {
+        switch (strtolower($propName)) {
+            case 'id-at-countryname':
+            case 'countryname':
+            case 'c':
+                return 'id-at-countryName';
+            case 'id-at-organizationname':
+            case 'organizationname':
+            case 'o':
+                return 'id-at-organizationName';
+            case 'id-at-dnqualifier':
+            case 'dnqualifier':
+                return 'id-at-dnQualifier';
+            case 'id-at-commonname':
+            case 'commonname':
+            case 'cn':
+                return 'id-at-commonName';
+            case 'id-at-stateorprovincename':
+            case 'stateorprovincename':
+            case 'state':
+            case 'province':
+            case 'provincename':
+            case 'st':
+                return 'id-at-stateOrProvinceName';
+            case 'id-at-localityname':
+            case 'localityname':
+            case 'l':
+                return 'id-at-localityName';
+            case 'id-emailaddress':
+            case 'emailaddress':
+                return 'pkcs-9-at-emailAddress';
+            case 'id-at-serialnumber':
+            case 'serialnumber':
+                return 'id-at-serialNumber';
+            case 'id-at-postalcode':
+            case 'postalcode':
+                return 'id-at-postalCode';
+            case 'id-at-streetaddress':
+            case 'streetaddress':
+                return 'id-at-streetAddress';
+            case 'id-at-name':
+            case 'name':
+                return 'id-at-name';
+            case 'id-at-givenname':
+            case 'givenname':
+                return 'id-at-givenName';
+            case 'id-at-surname':
+            case 'surname':
+            case 'sn':
+                return 'id-at-surname';
+            case 'id-at-initials':
+            case 'initials':
+                return 'id-at-initials';
+            case 'id-at-generationqualifier':
+            case 'generationqualifier':
+                return 'id-at-generationQualifier';
+            case 'id-at-organizationalunitname':
+            case 'organizationalunitname':
+            case 'ou':
+                return 'id-at-organizationalUnitName';
+            case 'id-at-pseudonym':
+            case 'pseudonym':
+                return 'id-at-pseudonym';
+            case 'id-at-title':
+            case 'title':
+                return 'id-at-title';
+            case 'id-at-description':
+            case 'description':
+                return 'id-at-description';
+            case 'id-at-role':
+            case 'role':
+                return 'id-at-role';
+            case 'id-at-uniqueidentifier':
+            case 'uniqueidentifier':
+            case 'x500uniqueidentifier':
+                return 'id-at-uniqueIdentifier';
+            case 'postaladdress':
+            case 'id-at-postaladdress':
+                return 'id-at-postalAddress';
+            default:
+                return false;
+        }
+    }
+
+    /**
+     * Set a Distinguished Name property
+     *
+     * @param string $propName
+     * @param mixed $propValue
+     * @param string $type optional
+     * @access public
+     * @return bool
+     */
+    public function setDNProp($propName, $propValue, $type = 'utf8String')
+    {
+        if (empty($this->dn)) {
+            $this->dn = ['rdnSequence' => []];
+        }
+
+        if (($propName = $this->translateDNProp($propName)) === false) {
+            return false;
+        }
+
+        foreach ((array) $propValue as $v) {
+            if (!is_array($v) && isset($type)) {
+                $v = [$type => $v];
+            }
+            $this->dn['rdnSequence'][] = [
+                [
+                    'type' => $propName,
+                    'value'=> $v
+                ]
+            ];
+        }
+
+        return true;
+    }
+
+    /**
+     * Remove Distinguished Name properties
+     *
+     * @param string $propName
+     * @access public
+     */
+    public function removeDNProp($propName)
+    {
+        if (empty($this->dn)) {
+            return;
+        }
+
+        if (($propName = $this->translateDNProp($propName)) === false) {
+            return;
+        }
+
+        $dn = &$this->dn['rdnSequence'];
+        $size = count($dn);
+        for ($i = 0; $i < $size; $i++) {
+            if ($dn[$i][0]['type'] == $propName) {
+                unset($dn[$i]);
+            }
+        }
+
+        $dn = array_values($dn);
+        // fix for https://bugs.php.net/75433 affecting PHP 7.2
+        if (!isset($dn[0])) {
+            $dn = array_splice($dn, 0, 0);
+        }
+    }
+
+    /**
+     * Get Distinguished Name properties
+     *
+     * @param string $propName
+     * @param array $dn optional
+     * @param bool $withType optional
+     * @return mixed
+     * @access public
+     */
+    public function getDNProp($propName, $dn = null, $withType = false)
+    {
+        if (!isset($dn)) {
+            $dn = $this->dn;
+        }
+
+        if (empty($dn)) {
+            return false;
+        }
+
+        if (($propName = $this->translateDNProp($propName)) === false) {
+            return false;
+        }
+
+        $filters = [];
+        $filters['value'] = ['type' => ASN1::TYPE_UTF8_STRING];
+        ASN1::setFilters($filters);
+        $this->mapOutDNs($dn, 'rdnSequence');
+        $dn = $dn['rdnSequence'];
+        $result = [];
+        for ($i = 0; $i < count($dn); $i++) {
+            if ($dn[$i][0]['type'] == $propName) {
+                $v = $dn[$i][0]['value'];
+                if (!$withType) {
+                    if (is_array($v)) {
+                        foreach ($v as $type => $s) {
+                            $type = array_search($type, ASN1::ANY_MAP);
+                            if ($type !== false && array_key_exists($type, ASN1::STRING_TYPE_SIZE)) {
+                                $s = ASN1::convert($s, $type);
+                                if ($s !== false) {
+                                    $v = $s;
+                                    break;
+                                }
+                            }
+                        }
+                        if (is_array($v)) {
+                            $v = array_pop($v); // Always strip data type.
+                        }
+                    } elseif (is_object($v) && $v instanceof Element) {
+                        $map = $this->getMapping($propName);
+                        if (!is_bool($map)) {
+                            $decoded = ASN1::decodeBER($v);
+                            $v = ASN1::asn1map($decoded[0], $map);
+                        }
+                    }
+                }
+                $result[] = $v;
+            }
+        }
+
+        return $result;
+    }
+
+    /**
+     * Set a Distinguished Name
+     *
+     * @param mixed $dn
+     * @param bool $merge optional
+     * @param string $type optional
+     * @access public
+     * @return bool
+     */
+    public function setDN($dn, $merge = false, $type = 'utf8String')
+    {
+        if (!$merge) {
+            $this->dn = null;
+        }
+
+        if (is_array($dn)) {
+            if (isset($dn['rdnSequence'])) {
+                $this->dn = $dn; // No merge here.
+                return true;
+            }
+
+            // handles stuff generated by openssl_x509_parse()
+            foreach ($dn as $prop => $value) {
+                if (!$this->setDNProp($prop, $value, $type)) {
+                    return false;
+                }
+            }
+            return true;
+        }
+
+        // handles everything else
+        $results = preg_split('#((?:^|, *|/)(?:C=|O=|OU=|CN=|L=|ST=|SN=|postalCode=|streetAddress=|emailAddress=|serialNumber=|organizationalUnitName=|title=|description=|role=|x500UniqueIdentifier=|postalAddress=))#', $dn, -1, PREG_SPLIT_DELIM_CAPTURE);
+        for ($i = 1; $i < count($results); $i+=2) {
+            $prop = trim($results[$i], ', =/');
+            $value = $results[$i + 1];
+            if (!$this->setDNProp($prop, $value, $type)) {
+                return false;
+            }
+        }
+
+        return true;
+    }
+
+    /**
+     * Get the Distinguished Name for a certificates subject
+     *
+     * @param mixed $format optional
+     * @param array $dn optional
+     * @access public
+     * @return array|bool
+     */
+    public function getDN($format = self::DN_ARRAY, $dn = null)
+    {
+        if (!isset($dn)) {
+            $dn = isset($this->currentCert['tbsCertList']) ? $this->currentCert['tbsCertList']['issuer'] : $this->dn;
+        }
+
+        switch ((int) $format) {
+            case self::DN_ARRAY:
+                return $dn;
+            case self::DN_ASN1:
+                $filters = [];
+                $filters['rdnSequence']['value'] = ['type' => ASN1::TYPE_UTF8_STRING];
+                ASN1::setFilters($filters);
+                $this->mapOutDNs($dn, 'rdnSequence');
+                return ASN1::encodeDER($dn, Maps\Name::MAP);
+            case self::DN_CANON:
+                //  No SEQUENCE around RDNs and all string values normalized as
+                // trimmed lowercase UTF-8 with all spacing as one blank.
+                // constructed RDNs will not be canonicalized
+                $filters = [];
+                $filters['value'] = ['type' => ASN1::TYPE_UTF8_STRING];
+                ASN1::setFilters($filters);
+                $result = '';
+                $this->mapOutDNs($dn, 'rdnSequence');
+                foreach ($dn['rdnSequence'] as $rdn) {
+                    foreach ($rdn as $i => $attr) {
+                        $attr = &$rdn[$i];
+                        if (is_array($attr['value'])) {
+                            foreach ($attr['value'] as $type => $v) {
+                                $type = array_search($type, ASN1::ANY_MAP, true);
+                                if ($type !== false && array_key_exists($type, ASN1::STRING_TYPE_SIZE)) {
+                                    $v = ASN1::convert($v, $type);
+                                    if ($v !== false) {
+                                        $v = preg_replace('/\s+/', ' ', $v);
+                                        $attr['value'] = strtolower(trim($v));
+                                        break;
+                                    }
+                                }
+                            }
+                        }
+                    }
+                    $result .= ASN1::encodeDER($rdn, Maps\RelativeDistinguishedName::MAP);
+                }
+                return $result;
+            case self::DN_HASH:
+                $dn = $this->getDN(self::DN_CANON, $dn);
+                $hash = new Hash('sha1');
+                $hash = $hash->hash($dn);
+                extract(unpack('Vhash', $hash));
+                return strtolower(Hex::encode(pack('N', $hash)));
+        }
+
+        // Default is to return a string.
+        $start = true;
+        $output = '';
+
+        $result = [];
+        $filters = [];
+        $filters['rdnSequence']['value'] = ['type' => ASN1::TYPE_UTF8_STRING];
+        ASN1::setFilters($filters);
+        $this->mapOutDNs($dn, 'rdnSequence');
+
+        foreach ($dn['rdnSequence'] as $field) {
+            $prop = $field[0]['type'];
+            $value = $field[0]['value'];
+
+            $delim = ', ';
+            switch ($prop) {
+                case 'id-at-countryName':
+                    $desc = 'C';
+                    break;
+                case 'id-at-stateOrProvinceName':
+                    $desc = 'ST';
+                    break;
+                case 'id-at-organizationName':
+                    $desc = 'O';
+                    break;
+                case 'id-at-organizationalUnitName':
+                    $desc = 'OU';
+                    break;
+                case 'id-at-commonName':
+                    $desc = 'CN';
+                    break;
+                case 'id-at-localityName':
+                    $desc = 'L';
+                    break;
+                case 'id-at-surname':
+                    $desc = 'SN';
+                    break;
+                case 'id-at-uniqueIdentifier':
+                    $delim = '/';
+                    $desc = 'x500UniqueIdentifier';
+                    break;
+                case 'id-at-postalAddress':
+                    $delim = '/';
+                    $desc = 'postalAddress';
+                    break;
+                default:
+                    $delim = '/';
+                    $desc = preg_replace('#.+-([^-]+)$#', '$1', $prop);
+            }
+
+            if (!$start) {
+                $output.= $delim;
+            }
+            if (is_array($value)) {
+                foreach ($value as $type => $v) {
+                    $type = array_search($type, ASN1::ANY_MAP, true);
+                    if ($type !== false && array_key_exists($type, ASN1::STRING_TYPE_SIZE)) {
+                        $v = ASN1::convert($v, $type);
+                        if ($v !== false) {
+                            $value = $v;
+                            break;
+                        }
+                    }
+                }
+                if (is_array($value)) {
+                    $value = array_pop($value); // Always strip data type.
+                }
+            } elseif (is_object($value) && $value instanceof Element) {
+                $callback = function($x) { return '\x' . bin2hex($x[0]); };
+                $value = strtoupper(preg_replace_callback('#[^\x20-\x7E]#', $callback, $value->element));
+            }
+            $output.= $desc . '=' . $value;
+            $result[$desc] = isset($result[$desc]) ?
+                array_merge((array) $result[$desc], [$value]) :
+                $value;
+            $start = false;
+        }
+
+        return $format == self::DN_OPENSSL ? $result : $output;
+    }
+
+    /**
+     * Get the Distinguished Name for a certificate/crl issuer
+     *
+     * @param int $format optional
+     * @access public
+     * @return mixed
+     */
+    public function getIssuerDN($format = self::DN_ARRAY)
+    {
+        switch (true) {
+            case !isset($this->currentCert) || !is_array($this->currentCert):
+                break;
+            case isset($this->currentCert['tbsCertificate']):
+                return $this->getDN($format, $this->currentCert['tbsCertificate']['issuer']);
+            case isset($this->currentCert['tbsCertList']):
+                return $this->getDN($format, $this->currentCert['tbsCertList']['issuer']);
+        }
+
+        return false;
+    }
+
+    /**
+     * Get the Distinguished Name for a certificate/csr subject
+     * Alias of getDN()
+     *
+     * @param int $format optional
+     * @access public
+     * @return mixed
+     */
+    public function getSubjectDN($format = self::DN_ARRAY)
+    {
+        switch (true) {
+            case !empty($this->dn):
+                return $this->getDN($format);
+            case !isset($this->currentCert) || !is_array($this->currentCert):
+                break;
+            case isset($this->currentCert['tbsCertificate']):
+                return $this->getDN($format, $this->currentCert['tbsCertificate']['subject']);
+            case isset($this->currentCert['certificationRequestInfo']):
+                return $this->getDN($format, $this->currentCert['certificationRequestInfo']['subject']);
+        }
+
+        return false;
+    }
+
+    /**
+     * Get an individual Distinguished Name property for a certificate/crl issuer
+     *
+     * @param string $propName
+     * @param bool $withType optional
+     * @access public
+     * @return mixed
+     */
+    public function getIssuerDNProp($propName, $withType = false)
+    {
+        switch (true) {
+            case !isset($this->currentCert) || !is_array($this->currentCert):
+                break;
+            case isset($this->currentCert['tbsCertificate']):
+                return $this->getDNProp($propName, $this->currentCert['tbsCertificate']['issuer'], $withType);
+            case isset($this->currentCert['tbsCertList']):
+                return $this->getDNProp($propName, $this->currentCert['tbsCertList']['issuer'], $withType);
+        }
+
+        return false;
+    }
+
+    /**
+     * Get an individual Distinguished Name property for a certificate/csr subject
+     *
+     * @param string $propName
+     * @param bool $withType optional
+     * @access public
+     * @return mixed
+     */
+    public function getSubjectDNProp($propName, $withType = false)
+    {
+        switch (true) {
+            case !empty($this->dn):
+                return $this->getDNProp($propName, null, $withType);
+            case !isset($this->currentCert) || !is_array($this->currentCert):
+                break;
+            case isset($this->currentCert['tbsCertificate']):
+                return $this->getDNProp($propName, $this->currentCert['tbsCertificate']['subject'], $withType);
+            case isset($this->currentCert['certificationRequestInfo']):
+                return $this->getDNProp($propName, $this->currentCert['certificationRequestInfo']['subject'], $withType);
+        }
+
+        return false;
+    }
+
+    /**
+     * Get the certificate chain for the current cert
+     *
+     * @access public
+     * @return mixed
+     */
+    public function getChain()
+    {
+        $chain = [$this->currentCert];
+
+        if (!is_array($this->currentCert) || !isset($this->currentCert['tbsCertificate'])) {
+            return false;
+        }
+        if (empty($this->CAs)) {
+            return $chain;
+        }
+        while (true) {
+            $currentCert = $chain[count($chain) - 1];
+            for ($i = 0; $i < count($this->CAs); $i++) {
+                $ca = $this->CAs[$i];
+                if ($currentCert['tbsCertificate']['issuer'] === $ca['tbsCertificate']['subject']) {
+                    $authorityKey = $this->getExtension('id-ce-authorityKeyIdentifier', $currentCert);
+                    $subjectKeyID = $this->getExtension('id-ce-subjectKeyIdentifier', $ca);
+                    switch (true) {
+                        case !is_array($authorityKey):
+                        case is_array($authorityKey) && isset($authorityKey['keyIdentifier']) && $authorityKey['keyIdentifier'] === $subjectKeyID:
+                            if ($currentCert === $ca) {
+                                break 3;
+                            }
+                            $chain[] = $ca;
+                            break 2;
+                    }
+                }
+            }
+            if ($i == count($this->CAs)) {
+                break;
+            }
+        }
+        foreach ($chain as $key => $value) {
+            $chain[$key] = new X509();
+            $chain[$key]->loadX509($value);
+        }
+        return $chain;
+    }
+
+    /**
+     * Set public key
+     *
+     * Key needs to be a \phpseclib3\Crypt\RSA object
+     *
+     * @param PublicKey $key
+     * @access public
+     * @return bool
+     */
+    public function setPublicKey(PublicKey $key)
+    {
+        $this->publicKey = $key;
+    }
+
+    /**
+     * Set private key
+     *
+     * Key needs to be a \phpseclib3\Crypt\RSA object
+     *
+     * @param PrivateKey $key
+     * @access public
+     */
+    public function setPrivateKey(PrivateKey $key)
+    {
+        $this->privateKey = $key;
+    }
+
+    /**
+     * Set challenge
+     *
+     * Used for SPKAC CSR's
+     *
+     * @param string $challenge
+     * @access public
+     */
+    public function setChallenge($challenge)
+    {
+        $this->challenge = $challenge;
+    }
+
+    /**
+     * Gets the public key
+     *
+     * Returns a \phpseclib3\Crypt\RSA object or a false.
+     *
+     * @access public
+     * @return mixed
+     */
+    public function getPublicKey()
+    {
+        if (isset($this->publicKey)) {
+            return $this->publicKey;
+        }
+
+        if (isset($this->currentCert) && is_array($this->currentCert)) {
+            $paths = [
+                'tbsCertificate/subjectPublicKeyInfo',
+                'certificationRequestInfo/subjectPKInfo',
+                'publicKeyAndChallenge/spki'
+            ];
+            foreach ($paths as $path) {
+                $keyinfo = $this->subArray($this->currentCert, $path);
+                if (!empty($keyinfo)) {
+                    break;
+                }
+            }
+        }
+        if (empty($keyinfo)) {
+            return false;
+        }
+
+        $key = $keyinfo['subjectPublicKey'];
+
+        switch ($keyinfo['algorithm']['algorithm']) {
+            case 'rsaEncryption':
+                return RSA::loadFormat('PKCS8', $key);
+            case 'id-ecPublicKey':
+            case 'id-Ed25519':
+            case 'id-Ed448':
+                return EC::loadFormat('PKCS8', $key);
+            case 'id-dsa':
+                return DSA::loadFormat('PKCS8', $key);
+        }
+
+        return false;
+    }
+
+    /**
+     * Load a Certificate Signing Request
+     *
+     * @param string $csr
+     * @param int $mode
+     * @return mixed
+     * @access public
+     */
+    public function loadCSR($csr, $mode = self::FORMAT_AUTO_DETECT)
+    {
+        if (is_array($csr) && isset($csr['certificationRequestInfo'])) {
+            unset($this->currentCert);
+            unset($this->currentKeyIdentifier);
+            unset($this->signatureSubject);
+            $this->dn = $csr['certificationRequestInfo']['subject'];
+            if (!isset($this->dn)) {
+                return false;
+            }
+
+            $this->currentCert = $csr;
+            return $csr;
+        }
+
+        // see http://tools.ietf.org/html/rfc2986
+
+        if ($mode != self::FORMAT_DER) {
+            $newcsr = ASN1::extractBER($csr);
+            if ($mode == self::FORMAT_PEM && $csr == $newcsr) {
+                return false;
+            }
+            $csr = $newcsr;
+        }
+        $orig = $csr;
+
+        if ($csr === false) {
+            $this->currentCert = false;
+            return false;
+        }
+
+        $decoded = ASN1::decodeBER($csr);
+
+        if (empty($decoded)) {
+            $this->currentCert = false;
+            return false;
+        }
+
+        $csr = ASN1::asn1map($decoded[0], Maps\CertificationRequest::MAP);
+        if (!isset($csr) || $csr === false) {
+            $this->currentCert = false;
+            return false;
+        }
+
+        $this->mapInAttributes($csr, 'certificationRequestInfo/attributes');
+        $this->mapInDNs($csr, 'certificationRequestInfo/subject/rdnSequence');
+
+        $this->dn = $csr['certificationRequestInfo']['subject'];
+
+        $this->signatureSubject = substr($orig, $decoded[0]['content'][0]['start'], $decoded[0]['content'][0]['length']);
+
+        $key = $csr['certificationRequestInfo']['subjectPKInfo'];
+        $key = ASN1::encodeDER($key, Maps\SubjectPublicKeyInfo::MAP);
+        $csr['certificationRequestInfo']['subjectPKInfo']['subjectPublicKey'] =
+            "-----BEGIN PUBLIC KEY-----\r\n" .
+            chunk_split(base64_encode($key), 64) .
+            "-----END PUBLIC KEY-----";
+
+        $this->currentKeyIdentifier = null;
+        $this->currentCert = $csr;
+
+        $this->publicKey = null;
+        $this->publicKey = $this->getPublicKey();
+
+        return $csr;
+    }
+
+    /**
+     * Save CSR request
+     *
+     * @param array $csr
+     * @param int $format optional
+     * @access public
+     * @return string
+     */
+    public function saveCSR($csr, $format = self::FORMAT_PEM)
+    {
+        if (!is_array($csr) || !isset($csr['certificationRequestInfo'])) {
+            return false;
+        }
+
+        switch (true) {
+            case !($algorithm = $this->subArray($csr, 'certificationRequestInfo/subjectPKInfo/algorithm/algorithm')):
+            case is_object($csr['certificationRequestInfo']['subjectPKInfo']['subjectPublicKey']):
+                break;
+            default:
+                $csr['certificationRequestInfo']['subjectPKInfo'] = new Element(
+                    base64_decode(preg_replace('#-.+-|[\r\n]#', '', $csr['certificationRequestInfo']['subjectPKInfo']['subjectPublicKey']))
+                );
+        }
+
+        $filters = [];
+        $filters['certificationRequestInfo']['subject']['rdnSequence']['value']
+            = ['type' => ASN1::TYPE_UTF8_STRING];
+
+        ASN1::setFilters($filters);
+
+        $this->mapOutDNs($csr, 'certificationRequestInfo/subject/rdnSequence');
+        $this->mapOutAttributes($csr, 'certificationRequestInfo/attributes');
+        $csr = ASN1::encodeDER($csr, Maps\CertificationRequest::MAP);
+
+        switch ($format) {
+            case self::FORMAT_DER:
+                return $csr;
+            // case self::FORMAT_PEM:
+            default:
+                return "-----BEGIN CERTIFICATE REQUEST-----\r\n" . chunk_split(Base64::encode($csr), 64) . '-----END CERTIFICATE REQUEST-----';
+        }
+    }
+
+    /**
+     * Load a SPKAC CSR
+     *
+     * SPKAC's are produced by the HTML5 keygen element:
+     *
+     * https://developer.mozilla.org/en-US/docs/HTML/Element/keygen
+     *
+     * @param string $spkac
+     * @access public
+     * @return mixed
+     */
+    public function loadSPKAC($spkac)
+    {
+        if (is_array($spkac) && isset($spkac['publicKeyAndChallenge'])) {
+            unset($this->currentCert);
+            unset($this->currentKeyIdentifier);
+            unset($this->signatureSubject);
+            $this->currentCert = $spkac;
+            return $spkac;
+        }
+
+        // see http://www.w3.org/html/wg/drafts/html/master/forms.html#signedpublickeyandchallenge
+
+        // OpenSSL produces SPKAC's that are preceded by the string SPKAC=
+        $temp = preg_replace('#(?:SPKAC=)|[ \r\n\\\]#', '', $spkac);
+        $temp = preg_match('#^[a-zA-Z\d/+]*={0,2}$#', $temp) ? Base64::decode($temp) : false;
+        if ($temp != false) {
+            $spkac = $temp;
+        }
+        $orig = $spkac;
+
+        if ($spkac === false) {
+            $this->currentCert = false;
+            return false;
+        }
+
+        $decoded = ASN1::decodeBER($spkac);
+
+        if (empty($decoded)) {
+            $this->currentCert = false;
+            return false;
+        }
+
+        $spkac = ASN1::asn1map($decoded[0], Maps\SignedPublicKeyAndChallenge::MAP);
+
+        if (!isset($spkac) || $spkac === false) {
+            $this->currentCert = false;
+            return false;
+        }
+
+        $this->signatureSubject = substr($orig, $decoded[0]['content'][0]['start'], $decoded[0]['content'][0]['length']);
+
+        $key = $spkac['publicKeyAndChallenge']['spki'];
+        $key = ASN1::encodeDER($key, Maps\SubjectPublicKeyInfo::MAP);
+        $spkac['publicKeyAndChallenge']['spki']['subjectPublicKey'] =
+            "-----BEGIN PUBLIC KEY-----\r\n" .
+            chunk_split(base64_encode($key), 64) .
+            "-----END PUBLIC KEY-----";
+
+        $this->currentKeyIdentifier = null;
+        $this->currentCert = $spkac;
+
+        $this->publicKey = null;
+        $this->publicKey = $this->getPublicKey();
+
+        return $spkac;
+    }
+
+    /**
+     * Save a SPKAC CSR request
+     *
+     * @param array $spkac
+     * @param int $format optional
+     * @access public
+     * @return string
+     */
+    public function saveSPKAC($spkac, $format = self::FORMAT_PEM)
+    {
+        if (!is_array($spkac) || !isset($spkac['publicKeyAndChallenge'])) {
+            return false;
+        }
+
+        $algorithm = $this->subArray($spkac, 'publicKeyAndChallenge/spki/algorithm/algorithm');
+        switch (true) {
+            case !$algorithm:
+            case is_object($spkac['publicKeyAndChallenge']['spki']['subjectPublicKey']):
+                break;
+            default:
+                $spkac['publicKeyAndChallenge']['spki'] = new Element(
+                    base64_decode(preg_replace('#-.+-|[\r\n]#', '', $spkac['publicKeyAndChallenge']['spki']['subjectPublicKey']))
+                );
+        }
+
+        $spkac = ASN1::encodeDER($spkac, Maps\SignedPublicKeyAndChallenge::MAP);
+
+        switch ($format) {
+            case self::FORMAT_DER:
+                return $spkac;
+            // case self::FORMAT_PEM:
+            default:
+                // OpenSSL's implementation of SPKAC requires the SPKAC be preceded by SPKAC= and since there are pretty much
+                // no other SPKAC decoders phpseclib will use that same format
+                return 'SPKAC=' . Base64::encode($spkac);
+        }
+    }
+
+    /**
+     * Load a Certificate Revocation List
+     *
+     * @param string $crl
+     * @param int $mode
+     * @return mixed
+     * @access public
+     */
+    public function loadCRL($crl, $mode = self::FORMAT_AUTO_DETECT)
+    {
+        if (is_array($crl) && isset($crl['tbsCertList'])) {
+            $this->currentCert = $crl;
+            unset($this->signatureSubject);
+            return $crl;
+        }
+
+        if ($mode != self::FORMAT_DER) {
+            $newcrl = ASN1::extractBER($crl);
+            if ($mode == self::FORMAT_PEM && $crl == $newcrl) {
+                return false;
+            }
+            $crl = $newcrl;
+        }
+        $orig = $crl;
+
+        if ($crl === false) {
+            $this->currentCert = false;
+            return false;
+        }
+
+        $decoded = ASN1::decodeBER($crl);
+
+        if (empty($decoded)) {
+            $this->currentCert = false;
+            return false;
+        }
+
+        $crl = ASN1::asn1map($decoded[0], Maps\CertificateList::MAP);
+        if (!isset($crl) || $crl === false) {
+            $this->currentCert = false;
+            return false;
+        }
+
+        $this->signatureSubject = substr($orig, $decoded[0]['content'][0]['start'], $decoded[0]['content'][0]['length']);
+
+        $this->mapInDNs($crl, 'tbsCertList/issuer/rdnSequence');
+        if ($this->isSubArrayValid($crl, 'tbsCertList/crlExtensions')) {
+            $this->mapInExtensions($crl, 'tbsCertList/crlExtensions');
+        }
+        if ($this->isSubArrayValid($crl, 'tbsCertList/revokedCertificates')) {
+            $rclist_ref = &$this->subArrayUnchecked($crl, 'tbsCertList/revokedCertificates');
+            if ($rclist_ref) {
+                $rclist = $crl['tbsCertList']['revokedCertificates'];
+                foreach ($rclist as $i => $extension) {
+                    if ($this->isSubArrayValid($rclist, "$i/crlEntryExtensions")) {
+                        $this->mapInExtensions($rclist_ref, "$i/crlEntryExtensions");
+                    }
+                }
+            }
+        }
+
+        $this->currentKeyIdentifier = null;
+        $this->currentCert = $crl;
+
+        return $crl;
+    }
+
+    /**
+     * Save Certificate Revocation List.
+     *
+     * @param array $crl
+     * @param int $format optional
+     * @access public
+     * @return string
+     */
+    public function saveCRL($crl, $format = self::FORMAT_PEM)
+    {
+        if (!is_array($crl) || !isset($crl['tbsCertList'])) {
+            return false;
+        }
+
+        $filters = [];
+        $filters['tbsCertList']['issuer']['rdnSequence']['value']
+            = ['type' => ASN1::TYPE_UTF8_STRING];
+        $filters['tbsCertList']['signature']['parameters']
+            = ['type' => ASN1::TYPE_UTF8_STRING];
+        $filters['signatureAlgorithm']['parameters']
+            = ['type' => ASN1::TYPE_UTF8_STRING];
+
+        if (empty($crl['tbsCertList']['signature']['parameters'])) {
+            $filters['tbsCertList']['signature']['parameters']
+                = ['type' => ASN1::TYPE_NULL];
+        }
+
+        if (empty($crl['signatureAlgorithm']['parameters'])) {
+            $filters['signatureAlgorithm']['parameters']
+                = ['type' => ASN1::TYPE_NULL];
+        }
+
+        ASN1::setFilters($filters);
+
+        $this->mapOutDNs($crl, 'tbsCertList/issuer/rdnSequence');
+        $this->mapOutExtensions($crl, 'tbsCertList/crlExtensions');
+        $rclist = &$this->subArray($crl, 'tbsCertList/revokedCertificates');
+        if (is_array($rclist)) {
+            foreach ($rclist as $i => $extension) {
+                $this->mapOutExtensions($rclist, "$i/crlEntryExtensions");
+            }
+        }
+
+        $crl = ASN1::encodeDER($crl, Maps\CertificateList::MAP);
+
+        switch ($format) {
+            case self::FORMAT_DER:
+                return $crl;
+            // case self::FORMAT_PEM:
+            default:
+                return "-----BEGIN X509 CRL-----\r\n" . chunk_split(Base64::encode($crl), 64) . '-----END X509 CRL-----';
+        }
+    }
+
+    /**
+     * Helper function to build a time field according to RFC 3280 section
+     *  - 4.1.2.5 Validity
+     *  - 5.1.2.4 This Update
+     *  - 5.1.2.5 Next Update
+     *  - 5.1.2.6 Revoked Certificates
+     * by choosing utcTime iff year of date given is before 2050 and generalTime else.
+     *
+     * @param string $date in format date('D, d M Y H:i:s O')
+     * @access private
+     * @return array|Element
+     */
+    private function timeField($date)
+    {
+        if ($date instanceof Element) {
+            return $date;
+        }
+        $dateObj = new DateTimeImmutable($date, new DateTimeZone('GMT'));
+        $year = $dateObj->format('Y'); // the same way ASN1.php parses this
+        if ($year < 2050) {
+            return ['utcTime' => $date];
+        } else {
+            return ['generalTime' => $date];
+        }
+    }
+
+    /**
+     * Sign an X.509 certificate
+     *
+     * $issuer's private key needs to be loaded.
+     * $subject can be either an existing X.509 cert (if you want to resign it),
+     * a CSR or something with the DN and public key explicitly set.
+     *
+     * @param \phpseclib3\File\X509 $issuer
+     * @param \phpseclib3\File\X509 $subject
+     * @access public
+     * @return mixed
+     */
+    public function sign($issuer, $subject)
+    {
+        if (!is_object($issuer->privateKey) || empty($issuer->dn)) {
+            return false;
+        }
+
+        if (isset($subject->publicKey) && !($subjectPublicKey = $subject->formatSubjectPublicKey())) {
+            return false;
+        }
+
+        $currentCert = isset($this->currentCert) ? $this->currentCert : null;
+        $signatureSubject = isset($this->signatureSubject) ? $this->signatureSubject : null;
+        $signatureAlgorithm = self::identifySignatureAlgorithm($issuer->privateKey);
+        if ($signatureAlgorithm != 'id-RSASSA-PSS') {
+            $signatureAlgorithm = ['algorithm' => $signatureAlgorithm];
+        } else {
+            $r = PSS::load($issuer->privateKey->toString('PSS'));
+            $signatureAlgorithm = [
+                'algorithm' => 'id-RSASSA-PSS',
+                'parameters' => PSS::savePSSParams($r)
+            ];
+        }
+
+        if (isset($subject->currentCert) && is_array($subject->currentCert) && isset($subject->currentCert['tbsCertificate'])) {
+            $this->currentCert = $subject->currentCert;
+            $this->currentCert['tbsCertificate']['signature'] = $signatureAlgorithm;
+            $this->currentCert['signatureAlgorithm'] = $signatureAlgorithm;
+
+
+            if (!empty($this->startDate)) {
+                $this->currentCert['tbsCertificate']['validity']['notBefore'] = $this->timeField($this->startDate);
+            }
+            if (!empty($this->endDate)) {
+                $this->currentCert['tbsCertificate']['validity']['notAfter'] = $this->timeField($this->endDate);
+            }
+            if (!empty($this->serialNumber)) {
+                $this->currentCert['tbsCertificate']['serialNumber'] = $this->serialNumber;
+            }
+            if (!empty($subject->dn)) {
+                $this->currentCert['tbsCertificate']['subject'] = $subject->dn;
+            }
+            if (!empty($subject->publicKey)) {
+                $this->currentCert['tbsCertificate']['subjectPublicKeyInfo'] = $subjectPublicKey;
+            }
+            $this->removeExtension('id-ce-authorityKeyIdentifier');
+            if (isset($subject->domains)) {
+                $this->removeExtension('id-ce-subjectAltName');
+            }
+        } elseif (isset($subject->currentCert) && is_array($subject->currentCert) && isset($subject->currentCert['tbsCertList'])) {
+            return false;
+        } else {
+            if (!isset($subject->publicKey)) {
+                return false;
+            }
+
+            $startDate = new DateTimeImmutable('now', new DateTimeZone(@date_default_timezone_get()));
+            $startDate = !empty($this->startDate) ? $this->startDate : $startDate->format('D, d M Y H:i:s O');
+
+            $endDate = new DateTimeImmutable('+1 year', new DateTimeZone(@date_default_timezone_get()));
+            $endDate = !empty($this->endDate) ? $this->endDate : $endDate->format('D, d M Y H:i:s O');
+
+            /* "The serial number MUST be a positive integer"
+               "Conforming CAs MUST NOT use serialNumber values longer than 20 octets."
+                -- https://tools.ietf.org/html/rfc5280#section-4.1.2.2
+
+               for the integer to be positive the leading bit needs to be 0 hence the
+               application of a bitmap
+            */
+            $serialNumber = !empty($this->serialNumber) ?
+                $this->serialNumber :
+                new BigInteger(Random::string(20) & ("\x7F" . str_repeat("\xFF", 19)), 256);
+
+            $this->currentCert = [
+                'tbsCertificate' =>
+                    [
+                        'version' => 'v3',
+                        'serialNumber' => $serialNumber, // $this->setSerialNumber()
+                        'signature' => $signatureAlgorithm,
+                        'issuer' => false, // this is going to be overwritten later
+                        'validity' => [
+                            'notBefore' => $this->timeField($startDate), // $this->setStartDate()
+                            'notAfter' => $this->timeField($endDate)   // $this->setEndDate()
+                        ],
+                        'subject' => $subject->dn,
+                        'subjectPublicKeyInfo' => $subjectPublicKey
+                    ],
+                    'signatureAlgorithm' => $signatureAlgorithm,
+                    'signature'          => false // this is going to be overwritten later
+            ];
+
+            // Copy extensions from CSR.
+            $csrexts = $subject->getAttribute('pkcs-9-at-extensionRequest', 0);
+
+            if (!empty($csrexts)) {
+                $this->currentCert['tbsCertificate']['extensions'] = $csrexts;
+            }
+        }
+
+        $this->currentCert['tbsCertificate']['issuer'] = $issuer->dn;
+
+        if (isset($issuer->currentKeyIdentifier)) {
+            $this->setExtension('id-ce-authorityKeyIdentifier', [
+                    //'authorityCertIssuer' => array(
+                    //    array(
+                    //        'directoryName' => $issuer->dn
+                    //    )
+                    //),
+                    'keyIdentifier' => $issuer->currentKeyIdentifier
+                ]);
+            //$extensions = &$this->currentCert['tbsCertificate']['extensions'];
+            //if (isset($issuer->serialNumber)) {
+            //    $extensions[count($extensions) - 1]['authorityCertSerialNumber'] = $issuer->serialNumber;
+            //}
+            //unset($extensions);
+        }
+
+        if (isset($subject->currentKeyIdentifier)) {
+            $this->setExtension('id-ce-subjectKeyIdentifier', $subject->currentKeyIdentifier);
+        }
+
+        $altName = [];
+
+        if (isset($subject->domains) && count($subject->domains)) {
+            $altName = array_map(['\phpseclib3\File\X509', 'dnsName'], $subject->domains);
+        }
+
+        if (isset($subject->ipAddresses) && count($subject->ipAddresses)) {
+            // should an IP address appear as the CN if no domain name is specified? idk
+            //$ips = count($subject->domains) ? $subject->ipAddresses : array_slice($subject->ipAddresses, 1);
+            $ipAddresses = [];
+            foreach ($subject->ipAddresses as $ipAddress) {
+                $encoded = $subject->ipAddress($ipAddress);
+                if ($encoded !== false) {
+                    $ipAddresses[] = $encoded;
+                }
+            }
+            if (count($ipAddresses)) {
+                $altName = array_merge($altName, $ipAddresses);
+            }
+        }
+
+        if (!empty($altName)) {
+            $this->setExtension('id-ce-subjectAltName', $altName);
+        }
+
+        if ($this->caFlag) {
+            $keyUsage = $this->getExtension('id-ce-keyUsage');
+            if (!$keyUsage) {
+                $keyUsage = [];
+            }
+
+            $this->setExtension(
+                'id-ce-keyUsage',
+                array_values(array_unique(array_merge($keyUsage, ['cRLSign', 'keyCertSign'])))
+            );
+
+            $basicConstraints = $this->getExtension('id-ce-basicConstraints');
+            if (!$basicConstraints) {
+                $basicConstraints = [];
+            }
+
+            $this->setExtension(
+                'id-ce-basicConstraints',
+                array_unique(array_merge(['cA' => true], $basicConstraints)),
+                true
+            );
+
+            if (!isset($subject->currentKeyIdentifier)) {
+                $this->setExtension('id-ce-subjectKeyIdentifier', $this->computeKeyIdentifier($this->currentCert), false, false);
+            }
+        }
+
+        // resync $this->signatureSubject
+        // save $tbsCertificate in case there are any \phpseclib3\File\ASN1\Element objects in it
+        $tbsCertificate = $this->currentCert['tbsCertificate'];
+        $this->loadX509($this->saveX509($this->currentCert));
+
+        $result = $this->currentCert;
+        $this->currentCert['signature'] = $result['signature'] = "\0" . $issuer->privateKey->sign($this->signatureSubject);
+        $result['tbsCertificate'] = $tbsCertificate;
+
+        $this->currentCert = $currentCert;
+        $this->signatureSubject = $signatureSubject;
+
+        return $result;
+    }
+
+    /**
+     * Sign a CSR
+     *
+     * @access public
+     * @return mixed
+     */
+    public function signCSR()
+    {
+        if (!is_object($this->privateKey) || empty($this->dn)) {
+            return false;
+        }
+
+        $origPublicKey = $this->publicKey;
+        $this->publicKey = $this->privateKey->getPublicKey();
+        $publicKey = $this->formatSubjectPublicKey();
+        $this->publicKey = $origPublicKey;
+
+        $currentCert = isset($this->currentCert) ? $this->currentCert : null;
+        $signatureSubject = isset($this->signatureSubject) ? $this->signatureSubject : null;
+        $signatureAlgorithm = self::identifySignatureAlgorithm($this->privateKey);
+
+        if (isset($this->currentCert) && is_array($this->currentCert) && isset($this->currentCert['certificationRequestInfo'])) {
+            $this->currentCert['signatureAlgorithm']['algorithm'] = $signatureAlgorithm;
+            if (!empty($this->dn)) {
+                $this->currentCert['certificationRequestInfo']['subject'] = $this->dn;
+            }
+            $this->currentCert['certificationRequestInfo']['subjectPKInfo'] = $publicKey;
+        } else {
+            $this->currentCert = [
+                'certificationRequestInfo' =>
+                    [
+                        'version' => 'v1',
+                        'subject' => $this->dn,
+                        'subjectPKInfo' => $publicKey
+                    ],
+                    'signatureAlgorithm' => ['algorithm' => $signatureAlgorithm],
+                    'signature'          => false // this is going to be overwritten later
+            ];
+        }
+
+        // resync $this->signatureSubject
+        // save $certificationRequestInfo in case there are any \phpseclib3\File\ASN1\Element objects in it
+        $certificationRequestInfo = $this->currentCert['certificationRequestInfo'];
+        $this->loadCSR($this->saveCSR($this->currentCert));
+
+        $result = $this->currentCert;
+        $this->currentCert['signature'] = $result['signature'] = "\0" . $this->privateKey->sign($this->signatureSubject);
+        $result['certificationRequestInfo'] = $certificationRequestInfo;
+
+        $this->currentCert = $currentCert;
+        $this->signatureSubject = $signatureSubject;
+
+        return $result;
+    }
+
+    /**
+     * Sign a SPKAC
+     *
+     * @access public
+     * @return mixed
+     */
+    public function signSPKAC()
+    {
+        if (!is_object($this->privateKey)) {
+            return false;
+        }
+
+        $origPublicKey = $this->publicKey;
+        $this->publicKey = $this->privateKey->getPublicKey();
+        $publicKey = $this->formatSubjectPublicKey();
+        $this->publicKey = $origPublicKey;
+
+        $currentCert = isset($this->currentCert) ? $this->currentCert : null;
+        $signatureSubject = isset($this->signatureSubject) ? $this->signatureSubject : null;
+        $signatureAlgorithm = self::identifySignatureAlgorithm($this->privateKey);
+
+        // re-signing a SPKAC seems silly but since everything else supports re-signing why not?
+        if (isset($this->currentCert) && is_array($this->currentCert) && isset($this->currentCert['publicKeyAndChallenge'])) {
+            $this->currentCert['signatureAlgorithm']['algorithm'] = $signatureAlgorithm;
+            $this->currentCert['publicKeyAndChallenge']['spki'] = $publicKey;
+            if (!empty($this->challenge)) {
+                // the bitwise AND ensures that the output is a valid IA5String
+                $this->currentCert['publicKeyAndChallenge']['challenge'] = $this->challenge & str_repeat("\x7F", strlen($this->challenge));
+            }
+        } else {
+            $this->currentCert = [
+                'publicKeyAndChallenge' =>
+                    [
+                        'spki' => $publicKey,
+                        // quoting <https://developer.mozilla.org/en-US/docs/Web/HTML/Element/keygen>,
+                        // "A challenge string that is submitted along with the public key. Defaults to an empty string if not specified."
+                        // both Firefox and OpenSSL ("openssl spkac -key private.key") behave this way
+                        // we could alternatively do this instead if we ignored the specs:
+                        // Random::string(8) & str_repeat("\x7F", 8)
+                        'challenge' => !empty($this->challenge) ? $this->challenge : ''
+                    ],
+                    'signatureAlgorithm' => ['algorithm' => $signatureAlgorithm],
+                    'signature'          => false // this is going to be overwritten later
+            ];
+        }
+
+        // resync $this->signatureSubject
+        // save $publicKeyAndChallenge in case there are any \phpseclib3\File\ASN1\Element objects in it
+        $publicKeyAndChallenge = $this->currentCert['publicKeyAndChallenge'];
+        $this->loadSPKAC($this->saveSPKAC($this->currentCert));
+
+        $result = $this->currentCert;
+        $this->currentCert['signature'] = $result['signature'] = "\0" . $this->privateKey->sign($this->signatureSubject);
+        $result['publicKeyAndChallenge'] = $publicKeyAndChallenge;
+
+        $this->currentCert = $currentCert;
+        $this->signatureSubject = $signatureSubject;
+
+        return $result;
+    }
+
+    /**
+     * Sign a CRL
+     *
+     * $issuer's private key needs to be loaded.
+     *
+     * @param \phpseclib3\File\X509 $issuer
+     * @param \phpseclib3\File\X509 $crl
+     * @access public
+     * @return mixed
+     */
+    public function signCRL($issuer, $crl)
+    {
+        if (!is_object($issuer->privateKey) || empty($issuer->dn)) {
+            return false;
+        }
+
+        $currentCert = isset($this->currentCert) ? $this->currentCert : null;
+        $signatureSubject = isset($this->signatureSubject) ? $this->signatureSubject : null;
+        $signatureAlgorithm = self::identifySignatureAlgorithm($issuer->privateKey);
+
+        $thisUpdate = new DateTimeImmutable('now', new DateTimeZone(@date_default_timezone_get()));
+        $thisUpdate = !empty($this->startDate) ? $this->startDate : $thisUpdate->format('D, d M Y H:i:s O');
+
+        if (isset($crl->currentCert) && is_array($crl->currentCert) && isset($crl->currentCert['tbsCertList'])) {
+            $this->currentCert = $crl->currentCert;
+            $this->currentCert['tbsCertList']['signature']['algorithm'] = $signatureAlgorithm;
+            $this->currentCert['signatureAlgorithm']['algorithm'] = $signatureAlgorithm;
+        } else {
+            $this->currentCert = [
+                'tbsCertList' =>
+                    [
+                        'version' => 'v2',
+                        'signature' => ['algorithm' => $signatureAlgorithm],
+                        'issuer' => false, // this is going to be overwritten later
+                        'thisUpdate' => $this->timeField($thisUpdate) // $this->setStartDate()
+                    ],
+                    'signatureAlgorithm' => ['algorithm' => $signatureAlgorithm],
+                    'signature'          => false // this is going to be overwritten later
+            ];
+        }
+
+        $tbsCertList = &$this->currentCert['tbsCertList'];
+        $tbsCertList['issuer'] = $issuer->dn;
+        $tbsCertList['thisUpdate'] = $this->timeField($thisUpdate);
+
+        if (!empty($this->endDate)) {
+            $tbsCertList['nextUpdate'] = $this->timeField($this->endDate); // $this->setEndDate()
+        } else {
+            unset($tbsCertList['nextUpdate']);
+        }
+
+        if (!empty($this->serialNumber)) {
+            $crlNumber = $this->serialNumber;
+        } else {
+            $crlNumber = $this->getExtension('id-ce-cRLNumber');
+            // "The CRL number is a non-critical CRL extension that conveys a
+            //  monotonically increasing sequence number for a given CRL scope and
+            //  CRL issuer.  This extension allows users to easily determine when a
+            //  particular CRL supersedes another CRL."
+            // -- https://tools.ietf.org/html/rfc5280#section-5.2.3
+            $crlNumber = $crlNumber !== false ? $crlNumber->add(new BigInteger(1)) : null;
+        }
+
+        $this->removeExtension('id-ce-authorityKeyIdentifier');
+        $this->removeExtension('id-ce-issuerAltName');
+
+        // Be sure version >= v2 if some extension found.
+        $version = isset($tbsCertList['version']) ? $tbsCertList['version'] : 0;
+        if (!$version) {
+            if (!empty($tbsCertList['crlExtensions'])) {
+                $version = 1; // v2.
+            } elseif (!empty($tbsCertList['revokedCertificates'])) {
+                foreach ($tbsCertList['revokedCertificates'] as $cert) {
+                    if (!empty($cert['crlEntryExtensions'])) {
+                        $version = 1; // v2.
+                    }
+                }
+            }
+
+            if ($version) {
+                $tbsCertList['version'] = $version;
+            }
+        }
+
+        // Store additional extensions.
+        if (!empty($tbsCertList['version'])) { // At least v2.
+            if (!empty($crlNumber)) {
+                $this->setExtension('id-ce-cRLNumber', $crlNumber);
+            }
+
+            if (isset($issuer->currentKeyIdentifier)) {
+                $this->setExtension('id-ce-authorityKeyIdentifier', [
+                        //'authorityCertIssuer' => array(
+                        //    ]
+                        //        'directoryName' => $issuer->dn
+                        //    ]
+                        //),
+                        'keyIdentifier' => $issuer->currentKeyIdentifier
+                    ]);
+                //$extensions = &$tbsCertList['crlExtensions'];
+                //if (isset($issuer->serialNumber)) {
+                //    $extensions[count($extensions) - 1]['authorityCertSerialNumber'] = $issuer->serialNumber;
+                //}
+                //unset($extensions);
+            }
+
+            $issuerAltName = $this->getExtension('id-ce-subjectAltName', $issuer->currentCert);
+
+            if ($issuerAltName !== false) {
+                $this->setExtension('id-ce-issuerAltName', $issuerAltName);
+            }
+        }
+
+        if (empty($tbsCertList['revokedCertificates'])) {
+            unset($tbsCertList['revokedCertificates']);
+        }
+
+        unset($tbsCertList);
+
+        // resync $this->signatureSubject
+        // save $tbsCertList in case there are any \phpseclib3\File\ASN1\Element objects in it
+        $tbsCertList = $this->currentCert['tbsCertList'];
+        $this->loadCRL($this->saveCRL($this->currentCert));
+
+        $result = $this->currentCert;
+        $this->currentCert['signature'] = $result['signature'] = "\0" . $issuer->privateKey->sign($this->signatureSubject);
+        $result['tbsCertList'] = $tbsCertList;
+
+        $this->currentCert = $currentCert;
+        $this->signatureSubject = $signatureSubject;
+
+        return $result;
+    }
+
+    /**
+     * Identify signature algorithm from key settings
+     *
+     * @param PrivateKey $key
+     * @access private
+     * @throws \phpseclib3\Exception\UnsupportedAlgorithmException if the algorithm is unsupported
+     * @return string
+     */
+    private static function identifySignatureAlgorithm(PrivateKey $key)
+    {
+        if ($key instanceof RSA) {
+            if ($key->getPadding() & RSA::SIGNATURE_PSS) {
+                return 'id-RSASSA-PSS';
+            }
+            switch ($key->getHash()) {
+                case 'md2':
+                case 'md5':
+                case 'sha1':
+                case 'sha224':
+                case 'sha256':
+                case 'sha384':
+                case 'sha512':
+                    return $key->getHash() . 'WithRSAEncryption';
+            }
+            throw new UnsupportedAlgorithmException('The only supported hash algorithms for RSA are: md2, md5, sha1, sha224, sha256, sha384, sha512');
+        }
+
+        if ($key instanceof DSA) {
+            switch ($key->getHash()) {
+                case 'sha1':
+                case 'sha224':
+                case 'sha256':
+                    return 'id-dsa-with-' . $key->getHash();
+            }
+            throw new UnsupportedAlgorithmException('The only supported hash algorithms for DSA are: sha1, sha224, sha256');
+        }
+
+        if ($key instanceof EC) {
+            switch ($key->getCurve()) {
+                case 'Ed25519':
+                case 'Ed448':
+                    return 'id-' . $key->getCurve();
+            }
+            switch ($key->getHash()) {
+                case 'sha1':
+                case 'sha224':
+                case 'sha256':
+                case 'sha384':
+                case 'sha512':
+                    return 'ecdsa-with-' . strtoupper($key->getHash());
+            }
+            throw new UnsupportedAlgorithmException('The only supported hash algorithms for EC are: sha1, sha224, sha256, sha384, sha512');
+        }
+
+        throw new UnsupportedAlgorithmException('The only supported public key classes are: RSA, DSA, EC');
+    }
+
+    /**
+     * Set certificate start date
+     *
+     * @param DateTimeInterface|string $date
+     * @access public
+     */
+    public function setStartDate($date)
+    {
+        if (!is_object($date) || !($date instanceof DateTimeInterface)) {
+            $date = new DateTimeImmutable($date, new DateTimeZone(@date_default_timezone_get()));
+        }
+
+        $this->startDate = $date->format('D, d M Y H:i:s O');
+    }
+
+    /**
+     * Set certificate end date
+     *
+     * @param DateTimeInterface|string $date
+     * @access public
+     */
+    public function setEndDate($date)
+    {
+        /*
+          To indicate that a certificate has no well-defined expiration date,
+          the notAfter SHOULD be assigned the GeneralizedTime value of
+          99991231235959Z.
+
+          -- http://tools.ietf.org/html/rfc5280#section-4.1.2.5
+        */
+        if (is_string($date) && strtolower($date) === 'lifetime') {
+            $temp = '99991231235959Z';
+            $temp = chr(ASN1::TYPE_GENERALIZED_TIME) . ASN1::encodeLength(strlen($temp)) . $temp;
+            $this->endDate = new Element($temp);
+        } else {
+            if (!is_object($date) || !($date instanceof DateTimeInterface)) {
+                $date = new DateTimeImmutable($date, new DateTimeZone(@date_default_timezone_get()));
+            }
+
+            $this->endDate = $date->format('D, d M Y H:i:s O');
+        }
+    }
+
+    /**
+     * Set Serial Number
+     *
+     * @param string $serial
+     * @param int $base optional
+     * @access public
+     */
+    public function setSerialNumber($serial, $base = -256)
+    {
+        $this->serialNumber = new BigInteger($serial, $base);
+    }
+
+    /**
+     * Turns the certificate into a certificate authority
+     *
+     * @access public
+     */
+    public function makeCA()
+    {
+        $this->caFlag = true;
+    }
+
+    /**
+     * Check for validity of subarray
+     *
+     * This is intended for use in conjunction with _subArrayUnchecked(),
+     * implementing the checks included in _subArray() but without copying
+     * a potentially large array by passing its reference by-value to is_array().
+     *
+     * @param array $root
+     * @param string $path
+     * @return boolean
+     * @access private
+     */
+    private function isSubArrayValid($root, $path)
+    {
+        if (!is_array($root)) {
+            return false;
+        }
+
+        foreach (explode('/', $path) as $i) {
+            if (!is_array($root)) {
+                return false;
+            }
+
+            if (!isset($root[$i])) {
+                return true;
+            }
+
+            $root = $root[$i];
+        }
+
+        return true;
+    }
+
+    /**
+     * Get a reference to a subarray
+     *
+     * This variant of _subArray() does no is_array() checking,
+     * so $root should be checked with _isSubArrayValid() first.
+     *
+     * This is here for performance reasons:
+     * Passing a reference (i.e. $root) by-value (i.e. to is_array())
+     * creates a copy. If $root is an especially large array, this is expensive.
+     *
+     * @param array $root
+     * @param string $path  absolute path with / as component separator
+     * @param bool $create optional
+     * @access private
+     * @return array|false
+     */
+    private function &subArrayUnchecked(&$root, $path, $create = false)
+    {
+        $false = false;
+
+        foreach (explode('/', $path) as $i) {
+            if (!isset($root[$i])) {
+                if (!$create) {
+                    return $false;
+                }
+
+                $root[$i] = [];
+            }
+
+            $root = &$root[$i];
+        }
+
+        return $root;
+    }
+
+    /**
+     * Get a reference to a subarray
+     *
+     * @param array $root
+     * @param string $path  absolute path with / as component separator
+     * @param bool $create optional
+     * @access private
+     * @return array|false
+     */
+    private function &subArray(&$root, $path, $create = false)
+    {
+        $false = false;
+
+        if (!is_array($root)) {
+            return $false;
+        }
+
+        foreach (explode('/', $path) as $i) {
+            if (!is_array($root)) {
+                return $false;
+            }
+
+            if (!isset($root[$i])) {
+                if (!$create) {
+                    return $false;
+                }
+
+                $root[$i] = [];
+            }
+
+            $root = &$root[$i];
+        }
+
+        return $root;
+    }
+
+    /**
+     * Get a reference to an extension subarray
+     *
+     * @param array $root
+     * @param string $path optional absolute path with / as component separator
+     * @param bool $create optional
+     * @access private
+     * @return array|false
+     */
+    private function &extensions(&$root, $path = null, $create = false)
+    {
+        if (!isset($root)) {
+            $root = $this->currentCert;
+        }
+
+        switch (true) {
+            case !empty($path):
+            case !is_array($root):
+                break;
+            case isset($root['tbsCertificate']):
+                $path = 'tbsCertificate/extensions';
+                break;
+            case isset($root['tbsCertList']):
+                $path = 'tbsCertList/crlExtensions';
+                break;
+            case isset($root['certificationRequestInfo']):
+                $pth = 'certificationRequestInfo/attributes';
+                $attributes = &$this->subArray($root, $pth, $create);
+
+                if (is_array($attributes)) {
+                    foreach ($attributes as $key => $value) {
+                        if ($value['type'] == 'pkcs-9-at-extensionRequest') {
+                            $path = "$pth/$key/value/0";
+                            break 2;
+                        }
+                    }
+                    if ($create) {
+                        $key = count($attributes);
+                        $attributes[] = ['type' => 'pkcs-9-at-extensionRequest', 'value' => []];
+                        $path = "$pth/$key/value/0";
+                    }
+                }
+                break;
+        }
+
+        $extensions = &$this->subArray($root, $path, $create);
+
+        if (!is_array($extensions)) {
+            $false = false;
+            return $false;
+        }
+
+        return $extensions;
+    }
+
+    /**
+     * Remove an Extension
+     *
+     * @param string $id
+     * @param string $path optional
+     * @access private
+     * @return bool
+     */
+    private function removeExtensionHelper($id, $path = null)
+    {
+        $extensions = &$this->extensions($this->currentCert, $path);
+
+        if (!is_array($extensions)) {
+            return false;
+        }
+
+        $result = false;
+        foreach ($extensions as $key => $value) {
+            if ($value['extnId'] == $id) {
+                unset($extensions[$key]);
+                $result = true;
+            }
+        }
+
+        $extensions = array_values($extensions);
+        // fix for https://bugs.php.net/75433 affecting PHP 7.2
+        if (!isset($extensions[0])) {
+            $extensions = array_splice($extensions, 0, 0);
+        }
+        return $result;
+    }
+
+    /**
+     * Get an Extension
+     *
+     * Returns the extension if it exists and false if not
+     *
+     * @param string $id
+     * @param array $cert optional
+     * @param string $path optional
+     * @access private
+     * @return mixed
+     */
+    private function getExtensionHelper($id, $cert = null, $path = null)
+    {
+        $extensions = $this->extensions($cert, $path);
+
+        if (!is_array($extensions)) {
+            return false;
+        }
+
+        foreach ($extensions as $key => $value) {
+            if ($value['extnId'] == $id) {
+                return $value['extnValue'];
+            }
+        }
+
+        return false;
+    }
+
+    /**
+     * Returns a list of all extensions in use
+     *
+     * @param array $cert optional
+     * @param string $path optional
+     * @access private
+     * @return array
+     */
+    private function getExtensionsHelper($cert = null, $path = null)
+    {
+        $exts = $this->extensions($cert, $path);
+        $extensions = [];
+
+        if (is_array($exts)) {
+            foreach ($exts as $extension) {
+                $extensions[] = $extension['extnId'];
+            }
+        }
+
+        return $extensions;
+    }
+
+    /**
+     * Set an Extension
+     *
+     * @param string $id
+     * @param mixed $value
+     * @param bool $critical optional
+     * @param bool $replace optional
+     * @param string $path optional
+     * @access private
+     * @return bool
+     */
+    private function setExtensionHelper($id, $value, $critical = false, $replace = true, $path = null)
+    {
+        $extensions = &$this->extensions($this->currentCert, $path, true);
+
+        if (!is_array($extensions)) {
+            return false;
+        }
+
+        $newext = ['extnId'  => $id, 'critical' => $critical, 'extnValue' => $value];
+
+        foreach ($extensions as $key => $value) {
+            if ($value['extnId'] == $id) {
+                if (!$replace) {
+                    return false;
+                }
+
+                $extensions[$key] = $newext;
+                return true;
+            }
+        }
+
+        $extensions[] = $newext;
+        return true;
+    }
+
+    /**
+     * Remove a certificate, CSR or CRL Extension
+     *
+     * @param string $id
+     * @access public
+     * @return bool
+     */
+    public function removeExtension($id)
+    {
+        return $this->removeExtensionHelper($id);
+    }
+
+    /**
+     * Get a certificate, CSR or CRL Extension
+     *
+     * Returns the extension if it exists and false if not
+     *
+     * @param string $id
+     * @param array $cert optional
+     * @param string $path
+     * @access public
+     * @return mixed
+     */
+    public function getExtension($id, $cert = null, $path=null)
+    {
+        return $this->getExtensionHelper($id, $cert, $path);
+    }
+
+    /**
+     * Returns a list of all extensions in use in certificate, CSR or CRL
+     *
+     * @param array $cert optional
+     * @param string $path optional
+     * @access public
+     * @return array
+     */
+    public function getExtensions($cert = null, $path = null)
+    {
+        return $this->getExtensionsHelper($cert, $path);
+    }
+
+    /**
+     * Set a certificate, CSR or CRL Extension
+     *
+     * @param string $id
+     * @param mixed $value
+     * @param bool $critical optional
+     * @param bool $replace optional
+     * @access public
+     * @return bool
+     */
+    public function setExtension($id, $value, $critical = false, $replace = true)
+    {
+        return $this->setExtensionHelper($id, $value, $critical, $replace);
+    }
+
+    /**
+     * Remove a CSR attribute.
+     *
+     * @param string $id
+     * @param int $disposition optional
+     * @access public
+     * @return bool
+     */
+    public function removeAttribute($id, $disposition = self::ATTR_ALL)
+    {
+        $attributes = &$this->subArray($this->currentCert, 'certificationRequestInfo/attributes');
+
+        if (!is_array($attributes)) {
+            return false;
+        }
+
+        $result = false;
+        foreach ($attributes as $key => $attribute) {
+            if ($attribute['type'] == $id) {
+                $n = count($attribute['value']);
+                switch (true) {
+                    case $disposition == self::ATTR_APPEND:
+                    case $disposition == self::ATTR_REPLACE:
+                        return false;
+                    case $disposition >= $n:
+                        $disposition -= $n;
+                        break;
+                    case $disposition == self::ATTR_ALL:
+                    case $n == 1:
+                        unset($attributes[$key]);
+                        $result = true;
+                        break;
+                    default:
+                        unset($attributes[$key]['value'][$disposition]);
+                        $attributes[$key]['value'] = array_values($attributes[$key]['value']);
+                        $result = true;
+                        break;
+                }
+                if ($result && $disposition != self::ATTR_ALL) {
+                    break;
+                }
+            }
+        }
+
+        $attributes = array_values($attributes);
+        return $result;
+    }
+
+    /**
+     * Get a CSR attribute
+     *
+     * Returns the attribute if it exists and false if not
+     *
+     * @param string $id
+     * @param int $disposition optional
+     * @param array $csr optional
+     * @access public
+     * @return mixed
+     */
+    public function getAttribute($id, $disposition = self::ATTR_ALL, $csr = null)
+    {
+        if (empty($csr)) {
+            $csr = $this->currentCert;
+        }
+
+        $attributes = $this->subArray($csr, 'certificationRequestInfo/attributes');
+
+        if (!is_array($attributes)) {
+            return false;
+        }
+
+        foreach ($attributes as $key => $attribute) {
+            if ($attribute['type'] == $id) {
+                $n = count($attribute['value']);
+                switch (true) {
+                    case $disposition == self::ATTR_APPEND:
+                    case $disposition == self::ATTR_REPLACE:
+                        return false;
+                    case $disposition == self::ATTR_ALL:
+                        return $attribute['value'];
+                    case $disposition >= $n:
+                        $disposition -= $n;
+                        break;
+                    default:
+                        return $attribute['value'][$disposition];
+                }
+            }
+        }
+
+        return false;
+    }
+
+    /**
+     * Returns a list of all CSR attributes in use
+     *
+     * @param array $csr optional
+     * @access public
+     * @return array
+     */
+    public function getAttributes($csr = null)
+    {
+        if (empty($csr)) {
+            $csr = $this->currentCert;
+        }
+
+        $attributes = $this->subArray($csr, 'certificationRequestInfo/attributes');
+        $attrs = [];
+
+        if (is_array($attributes)) {
+            foreach ($attributes as $attribute) {
+                $attrs[] = $attribute['type'];
+            }
+        }
+
+        return $attrs;
+    }
+
+    /**
+     * Set a CSR attribute
+     *
+     * @param string $id
+     * @param mixed $value
+     * @param int $disposition optional
+     * @access public
+     * @return bool
+     */
+    public function setAttribute($id, $value, $disposition = self::ATTR_ALL)
+    {
+        $attributes = &$this->subArray($this->currentCert, 'certificationRequestInfo/attributes', true);
+
+        if (!is_array($attributes)) {
+            return false;
+        }
+
+        switch ($disposition) {
+            case self::ATTR_REPLACE:
+                $disposition = self::ATTR_APPEND;
+            case self::ATTR_ALL:
+                $this->removeAttribute($id);
+                break;
+        }
+
+        foreach ($attributes as $key => $attribute) {
+            if ($attribute['type'] == $id) {
+                $n = count($attribute['value']);
+                switch (true) {
+                    case $disposition == self::ATTR_APPEND:
+                        $last = $key;
+                        break;
+                    case $disposition >= $n:
+                        $disposition -= $n;
+                        break;
+                    default:
+                        $attributes[$key]['value'][$disposition] = $value;
+                        return true;
+                }
+            }
+        }
+
+        switch (true) {
+            case $disposition >= 0:
+                return false;
+            case isset($last):
+                $attributes[$last]['value'][] = $value;
+                break;
+            default:
+                $attributes[] = ['type' => $id, 'value' => $disposition == self::ATTR_ALL ? $value: [$value]];
+                break;
+        }
+
+        return true;
+    }
+
+    /**
+     * Sets the subject key identifier
+     *
+     * This is used by the id-ce-authorityKeyIdentifier and the id-ce-subjectKeyIdentifier extensions.
+     *
+     * @param string $value
+     * @access public
+     */
+    public function setKeyIdentifier($value)
+    {
+        if (empty($value)) {
+            unset($this->currentKeyIdentifier);
+        } else {
+            $this->currentKeyIdentifier = $value;
+        }
+    }
+
+    /**
+     * Compute a public key identifier.
+     *
+     * Although key identifiers may be set to any unique value, this function
+     * computes key identifiers from public key according to the two
+     * recommended methods (4.2.1.2 RFC 3280).
+     * Highly polymorphic: try to accept all possible forms of key:
+     * - Key object
+     * - \phpseclib3\File\X509 object with public or private key defined
+     * - Certificate or CSR array
+     * - \phpseclib3\File\ASN1\Element object
+     * - PEM or DER string
+     *
+     * @param mixed $key optional
+     * @param int $method optional
+     * @access public
+     * @return string binary key identifier
+     */
+    public function computeKeyIdentifier($key = null, $method = 1)
+    {
+        if (is_null($key)) {
+            $key = $this;
+        }
+
+        switch (true) {
+            case is_string($key):
+                break;
+            case is_array($key) && isset($key['tbsCertificate']['subjectPublicKeyInfo']['subjectPublicKey']):
+                return $this->computeKeyIdentifier($key['tbsCertificate']['subjectPublicKeyInfo']['subjectPublicKey'], $method);
+            case is_array($key) && isset($key['certificationRequestInfo']['subjectPKInfo']['subjectPublicKey']):
+                return $this->computeKeyIdentifier($key['certificationRequestInfo']['subjectPKInfo']['subjectPublicKey'], $method);
+            case !is_object($key):
+                return false;
+            case $key instanceof Element:
+                // Assume the element is a bitstring-packed key.
+                $decoded = ASN1::decodeBER($key->element);
+                if (empty($decoded)) {
+                    return false;
+                }
+                $raw = ASN1::asn1map($decoded[0], ['type' => ASN1::TYPE_BIT_STRING]);
+                if (empty($raw)) {
+                    return false;
+                }
+                // If the key is private, compute identifier from its corresponding public key.
+                $key = PublicKeyLoader::load($raw);
+                if ($key instanceof PrivateKey) {  // If private.
+                    return $this->computeKeyIdentifier($key, $method);
+                }
+                $key = $raw; // Is a public key.
+                break;
+            case $key instanceof X509:
+                if (isset($key->publicKey)) {
+                    return $this->computeKeyIdentifier($key->publicKey, $method);
+                }
+                if (isset($key->privateKey)) {
+                    return $this->computeKeyIdentifier($key->privateKey, $method);
+                }
+                if (isset($key->currentCert['tbsCertificate']) || isset($key->currentCert['certificationRequestInfo'])) {
+                    return $this->computeKeyIdentifier($key->currentCert, $method);
+                }
+                return false;
+            default: // Should be a key object (i.e.: \phpseclib3\Crypt\RSA).
+                $key = $key->getPublicKey();
+                break;
+        }
+
+        // If in PEM format, convert to binary.
+        $key = ASN1::extractBER($key);
+
+        // Now we have the key string: compute its sha-1 sum.
+        $hash = new Hash('sha1');
+        $hash = $hash->hash($key);
+
+        if ($method == 2) {
+            $hash = substr($hash, -8);
+            $hash[0] = chr((ord($hash[0]) & 0x0F) | 0x40);
+        }
+
+        return $hash;
+    }
+
+    /**
+     * Format a public key as appropriate
+     *
+     * @access private
+     * @return array|bool
+     */
+    private function formatSubjectPublicKey()
+    {
+        $format = $this->publicKey instanceof RSA && ($this->publicKey->getPadding() & RSA::SIGNATURE_PSS) ?
+            'PSS' :
+            'PKCS8';
+
+        $publicKey = base64_decode(preg_replace('#-.+-|[\r\n]#', '', $this->publicKey->toString($format)));
+
+        $decoded = ASN1::decodeBER($publicKey);
+        $mapped = ASN1::asn1map($decoded[0], Maps\SubjectPublicKeyInfo::MAP);
+
+        $mapped['subjectPublicKey'] = $this->publicKey->toString($format);
+
+        return $mapped;
+    }
+
+    /**
+     * Set the domain name's which the cert is to be valid for
+     *
+     * @param mixed[] ...$domains
+     * @access public
+     * @return array
+     */
+    public function setDomain(...$domains)
+    {
+        $this->domains = $domains;
+        $this->removeDNProp('id-at-commonName');
+        $this->setDNProp('id-at-commonName', $this->domains[0]);
+    }
+
+    /**
+     * Set the IP Addresses's which the cert is to be valid for
+     *
+     * @access public
+     * @param mixed[] ...$ipAddresses
+     */
+    public function setIPAddress(...$ipAddresses)
+    {
+        $this->ipAddresses = $ipAddresses;
+        /*
+        if (!isset($this->domains)) {
+            $this->removeDNProp('id-at-commonName');
+            $this->setDNProp('id-at-commonName', $this->ipAddresses[0]);
+        }
+        */
+    }
+
+    /**
+     * Helper function to build domain array
+     *
+     * @access private
+     * @param string $domain
+     * @return array
+     */
+    private function dnsName($domain)
+    {
+        return ['dNSName' => $domain];
+    }
+
+    /**
+     * Helper function to build IP Address array
+     *
+     * (IPv6 is not currently supported)
+     *
+     * @access private
+     * @param string $address
+     * @return array
+     */
+    private function iPAddress($address)
+    {
+        return ['iPAddress' => $address];
+    }
+
+    /**
+     * Get the index of a revoked certificate.
+     *
+     * @param array $rclist
+     * @param string $serial
+     * @param bool $create optional
+     * @access private
+     * @return int|false
+     */
+    private function revokedCertificate(&$rclist, $serial, $create = false)
+    {
+        $serial = new BigInteger($serial);
+
+        foreach ($rclist as $i => $rc) {
+            if (!($serial->compare($rc['userCertificate']))) {
+                return $i;
+            }
+        }
+
+        if (!$create) {
+            return false;
+        }
+
+        $i = count($rclist);
+        $revocationDate = new DateTimeImmutable('now', new DateTimeZone(@date_default_timezone_get()));
+        $rclist[] = ['userCertificate' => $serial,
+                          'revocationDate'  => $this->timeField($revocationDate->format('D, d M Y H:i:s O'))];
+        return $i;
+    }
+
+    /**
+     * Revoke a certificate.
+     *
+     * @param string $serial
+     * @param string $date optional
+     * @access public
+     * @return bool
+     */
+    public function revoke($serial, $date = null)
+    {
+        if (isset($this->currentCert['tbsCertList'])) {
+            if (is_array($rclist = &$this->subArray($this->currentCert, 'tbsCertList/revokedCertificates', true))) {
+                if ($this->revokedCertificate($rclist, $serial) === false) { // If not yet revoked
+                    if (($i = $this->revokedCertificate($rclist, $serial, true)) !== false) {
+                        if (!empty($date)) {
+                            $rclist[$i]['revocationDate'] = $this->timeField($date);
+                        }
+
+                        return true;
+                    }
+                }
+            }
+        }
+
+        return false;
+    }
+
+    /**
+     * Unrevoke a certificate.
+     *
+     * @param string $serial
+     * @access public
+     * @return bool
+     */
+    public function unrevoke($serial)
+    {
+        if (is_array($rclist = &$this->subArray($this->currentCert, 'tbsCertList/revokedCertificates'))) {
+            if (($i = $this->revokedCertificate($rclist, $serial)) !== false) {
+                unset($rclist[$i]);
+                $rclist = array_values($rclist);
+                return true;
+            }
+        }
+
+        return false;
+    }
+
+    /**
+     * Get a revoked certificate.
+     *
+     * @param string $serial
+     * @access public
+     * @return mixed
+     */
+    public function getRevoked($serial)
+    {
+        if (is_array($rclist = $this->subArray($this->currentCert, 'tbsCertList/revokedCertificates'))) {
+            if (($i = $this->revokedCertificate($rclist, $serial)) !== false) {
+                return $rclist[$i];
+            }
+        }
+
+        return false;
+    }
+
+    /**
+     * List revoked certificates
+     *
+     * @param array $crl optional
+     * @access public
+     * @return array|bool
+     */
+    public function listRevoked($crl = null)
+    {
+        if (!isset($crl)) {
+            $crl = $this->currentCert;
+        }
+
+        if (!isset($crl['tbsCertList'])) {
+            return false;
+        }
+
+        $result = [];
+
+        if (is_array($rclist = $this->subArray($crl, 'tbsCertList/revokedCertificates'))) {
+            foreach ($rclist as $rc) {
+                $result[] = $rc['userCertificate']->toString();
+            }
+        }
+
+        return $result;
+    }
+
+    /**
+     * Remove a Revoked Certificate Extension
+     *
+     * @param string $serial
+     * @param string $id
+     * @access public
+     * @return bool
+     */
+    public function removeRevokedCertificateExtension($serial, $id)
+    {
+        if (is_array($rclist = &$this->subArray($this->currentCert, 'tbsCertList/revokedCertificates'))) {
+            if (($i = $this->revokedCertificate($rclist, $serial)) !== false) {
+                return $this->removeExtensionHelper($id, "tbsCertList/revokedCertificates/$i/crlEntryExtensions");
+            }
+        }
+
+        return false;
+    }
+
+    /**
+     * Get a Revoked Certificate Extension
+     *
+     * Returns the extension if it exists and false if not
+     *
+     * @param string $serial
+     * @param string $id
+     * @param array $crl optional
+     * @access public
+     * @return mixed
+     */
+    public function getRevokedCertificateExtension($serial, $id, $crl = null)
+    {
+        if (!isset($crl)) {
+            $crl = $this->currentCert;
+        }
+
+        if (is_array($rclist = $this->subArray($crl, 'tbsCertList/revokedCertificates'))) {
+            if (($i = $this->revokedCertificate($rclist, $serial)) !== false) {
+                return $this->getExtension($id, $crl,  "tbsCertList/revokedCertificates/$i/crlEntryExtensions");
+            }
+        }
+
+        return false;
+    }
+
+    /**
+     * Returns a list of all extensions in use for a given revoked certificate
+     *
+     * @param string $serial
+     * @param array $crl optional
+     * @access public
+     * @return array|bool
+     */
+    public function getRevokedCertificateExtensions($serial, $crl = null)
+    {
+        if (!isset($crl)) {
+            $crl = $this->currentCert;
+        }
+
+        if (is_array($rclist = $this->subArray($crl, 'tbsCertList/revokedCertificates'))) {
+            if (($i = $this->revokedCertificate($rclist, $serial)) !== false) {
+                return $this->getExtensions($crl, "tbsCertList/revokedCertificates/$i/crlEntryExtensions");
+            }
+        }
+
+        return false;
+    }
+
+    /**
+     * Set a Revoked Certificate Extension
+     *
+     * @param string $serial
+     * @param string $id
+     * @param mixed $value
+     * @param bool $critical optional
+     * @param bool $replace optional
+     * @access public
+     * @return bool
+     */
+    public function setRevokedCertificateExtension($serial, $id, $value, $critical = false, $replace = true)
+    {
+        if (isset($this->currentCert['tbsCertList'])) {
+            if (is_array($rclist = &$this->subArray($this->currentCert, 'tbsCertList/revokedCertificates', true))) {
+                if (($i = $this->revokedCertificate($rclist, $serial, true)) !== false) {
+                    return $this->setExtensionHelper($id, $value, $critical, $replace, "tbsCertList/revokedCertificates/$i/crlEntryExtensions");
+                }
+            }
+        }
+
+        return false;
+    }
+
+    /**
+     * Register the mapping for a custom/unsupported extension.
+     *
+     * @param string $id
+     * @param array $mapping
+     */
+    public static function registerExtension($id, array $mapping)
+    {
+        if (isset(self::$extensions[$id]) && self::$extensions[$id] !== $mapping) {
+            throw new \RuntimeException(
+                'Extension ' . $id . ' has already been defined with a different mapping.'
+            );
+        }
+
+        self::$extensions[$id] = $mapping;
+    }
+
+    /**
+     * Register the mapping for a custom/unsupported extension.
+     *
+     * @param string $id
+     *
+     * @return array|null
+     */
+    public static function getRegisteredExtension($id)
+    {
+        return isset(self::$extensions[$id]) ? self::$extensions[$id] : null;
+    }
+
+    /**
+     * Register the mapping for a custom/unsupported extension.
+     *
+     * @param string $id
+     * @param mixed $value
+     */
+    public function setExtensionValue($id, $value)
+    {
+        $this->extensionValues[$id] = $value;
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger.php
new file mode 100644
index 000000000..f6ff12ed5
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger.php
@@ -0,0 +1,864 @@
+<?php
+
+/**
+ * Pure-PHP arbitrary precision integer arithmetic library.
+ *
+ * Supports base-2, base-10, base-16, and base-256 numbers.  Uses the GMP or BCMath extensions, if available,
+ * and an internal implementation, otherwise.
+ *
+ * PHP version 5 and 7
+ *
+ * Here's an example of how to use this library:
+ * <code>
+ * <?php
+ *    $a = new \phpseclib3\Math\BigInteger(2);
+ *    $b = new \phpseclib3\Math\BigInteger(3);
+ *
+ *    $c = $a->add($b);
+ *
+ *    echo $c->toString(); // outputs 5
+ * ?>
+ * </code>
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ */
+
+namespace phpseclib3\Math;
+
+use phpseclib3\Exception\BadConfigurationException;
+
+/**
+ * Pure-PHP arbitrary precision integer arithmetic library. Supports base-2, base-10, base-16, and base-256
+ * numbers.
+ *
+ * @package BigInteger
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class BigInteger implements \Serializable
+{
+    /**
+     * Main Engine
+     *
+     * @var string
+     */
+    private static $mainEngine;
+
+    /**
+     * Modular Exponentiation Engine
+     *
+     * @var string
+     */
+    private static $modexpEngine;
+
+    /**
+     * Selected Engines
+     *
+     * @var array
+     */
+    private static $engines;
+
+    /**
+     * The actual BigInteger object
+     *
+     * @var object
+     */
+    private $value;
+
+    /**
+     * Sets engine type.
+     *
+     * Throws an exception if the type is invalid
+     *
+     * @param string $main
+     * @param array $modexps optional
+     */
+    public static function setEngine($main, $modexps = ['DefaultEngine'])
+    {
+        self::$engines = [];
+
+        $fqmain = 'phpseclib3\\Math\\BigInteger\\Engines\\' . $main;
+        if (!class_exists($fqmain) || !method_exists($fqmain, 'isValidEngine')) {
+            throw new \InvalidArgumentException("$main is not a valid engine");
+        }
+        if (!$fqmain::isValidEngine()) {
+            throw new BadConfigurationException("$main is not setup correctly on this system");
+        }
+        self::$mainEngine = $fqmain;
+
+        if (!in_array('Default', $modexps)) {
+            $modexps[] = 'DefaultEngine';
+        }
+
+        $found = false;
+        foreach ($modexps as $modexp) {
+            try {
+                $fqmain::setModExpEngine($modexp);
+                $found = true;
+                break;
+            } catch (\Exception $e) {
+            }
+        }
+
+        if (!$found) {
+            throw new BadConfigurationException("No valid modular exponentiation engine found for $main");
+        }
+
+        self::$modexpEngine = $modexp;
+
+        self::$engines = [$main, $modexp];
+    }
+
+    /**
+     * Returns the engine type
+     *
+     * @return string[]
+     */
+    public static function getEngine()
+    {
+        self::initialize_static_variables();
+
+        return self::$engines;
+    }
+
+    /**
+     * Initialize static variables
+     */
+    private static function initialize_static_variables()
+    {
+        if (!isset(self::$mainEngine)) {
+            $engines = [
+                ['GMP'],
+                ['PHP64', ['OpenSSL']],
+                ['BCMath', ['OpenSSL']],
+                ['PHP32', ['OpenSSL']]
+            ];
+            foreach ($engines as $engine) {
+                try {
+                    self::setEngine($engine[0], isset($engine[1]) ? $engine[1] : []);
+                    break;
+                } catch (\Exception $e) {
+                }
+            }
+        }
+    }
+
+    /**
+     * Converts base-2, base-10, base-16, and binary strings (base-256) to BigIntegers.
+     *
+     * If the second parameter - $base - is negative, then it will be assumed that the number's are encoded using
+     * two's compliment.  The sole exception to this is -10, which is treated the same as 10 is.
+     *
+     * @param int|BigInteger\Engines\Engine $x Base-10 number or base-$base number if $base set.
+     * @param int $base
+     * @return BigInteger
+     */
+    public function __construct($x = 0, $base = 10)
+    {
+        self::initialize_static_variables();
+
+        if ($x instanceof self::$mainEngine) {
+            $this->value = clone $x;
+        } elseif ($x instanceof BigInteger\Engines\Engine) {
+            $this->value = new static("$x");
+            $this->value->setPrecision($x->getPrecision());
+        } else {
+            $this->value = new self::$mainEngine($x, $base);
+        }
+    }
+
+    /**
+     * Converts a BigInteger to a base-10 number.
+     *
+     * @return string
+     */
+    public function toString()
+    {
+        return $this->value->toString();
+    }
+
+    /**
+     *  __toString() magic method
+     */
+    public function __toString()
+    {
+        return (string) $this->value;
+    }
+
+    /**
+     *  __debugInfo() magic method
+     *
+     * Will be called, automatically, when print_r() or var_dump() are called
+     */
+    public function __debugInfo()
+    {
+        return $this->value->__debugInfo();
+    }
+
+    /**
+     * Converts a BigInteger to a byte string (eg. base-256).
+     *
+     * @param bool $twos_compliment
+     * @return string
+     */
+    public function toBytes($twos_compliment = false)
+    {
+        return $this->value->toBytes($twos_compliment);
+    }
+
+    /**
+     * Converts a BigInteger to a hex string (eg. base-16).
+     *
+     * @param bool $twos_compliment
+     * @return string
+     */
+    public function toHex($twos_compliment = false)
+    {
+        return $this->value->toHex($twos_compliment);
+    }
+
+    /**
+     * Converts a BigInteger to a bit string (eg. base-2).
+     *
+     * Negative numbers are saved as positive numbers, unless $twos_compliment is set to true, at which point, they're
+     * saved as two's compliment.
+     *
+     * @param bool $twos_compliment
+     * @return string
+     */
+    function toBits($twos_compliment = false)
+    {
+        return $this->value->toBits($twos_compliment);
+    }
+
+    /**
+     * Adds two BigIntegers.
+     *
+     * @param BigInteger $y
+     * @return BigInteger
+     */
+    public function add(BigInteger $y)
+    {
+        return new static($this->value->add($y->value));
+    }
+
+    /**
+     * Subtracts two BigIntegers.
+     *
+     * @param BigInteger $y
+     * @return BigInteger
+     */
+    function subtract(BigInteger $y)
+    {
+        return new static($this->value->subtract($y->value));
+    }
+
+    /**
+     * Multiplies two BigIntegers
+     *
+     * @param BigInteger $x
+     * @return BigInteger
+     */
+    public function multiply(BigInteger $x)
+    {
+        return new static($this->value->multiply($x->value));
+    }
+
+    /**
+     * Divides two BigIntegers.
+     *
+     * Returns an array whose first element contains the quotient and whose second element contains the
+     * "common residue".  If the remainder would be positive, the "common residue" and the remainder are the
+     * same.  If the remainder would be negative, the "common residue" is equal to the sum of the remainder
+     * and the divisor (basically, the "common residue" is the first positive modulo).
+     *
+     * Here's an example:
+     * <code>
+     * <?php
+     *    $a = new \phpseclib3\Math\BigInteger('10');
+     *    $b = new \phpseclib3\Math\BigInteger('20');
+     *
+     *    list($quotient, $remainder) = $a->divide($b);
+     *
+     *    echo $quotient->toString(); // outputs 0
+     *    echo "\r\n";
+     *    echo $remainder->toString(); // outputs 10
+     * ?>
+     * </code>
+     *
+     * @param BigInteger $y
+     * @return BigInteger[]
+     */
+    public function divide(BigInteger $y)
+    {
+        list($q, $r) = $this->value->divide($y->value);
+        return [
+            new static($q),
+            new static($r)
+        ];
+    }
+
+    /**
+     * Calculates modular inverses.
+     *
+     * Say you have (30 mod 17 * x mod 17) mod 17 == 1.  x can be found using modular inverses.
+     * @return BigInteger
+     * @param BigInteger $n
+     */
+    public function modInverse(BigInteger $n)
+    {
+        return new static($this->value->modInverse($n->value));
+    }
+
+    /**
+     * Calculates modular inverses.
+     *
+     * Say you have (30 mod 17 * x mod 17) mod 17 == 1.  x can be found using modular inverses.
+     * @return BigInteger[]
+     * @param BigInteger $n
+     */
+    public function extendedGCD(BigInteger $n)
+    {
+        extract($this->value->extendedGCD($n->value));
+        /**
+         * @var BigInteger $gcd
+         * @var BigInteger $x
+         * @var BigInteger $y
+         */
+        return [
+            'gcd' => new static($gcd),
+            'x' => new static($x),
+            'y' => new static($y)
+        ];
+    }
+
+    /**
+     * Calculates the greatest common divisor
+     *
+     * Say you have 693 and 609.  The GCD is 21.
+     *
+     * @param BigInteger $n
+     * @return BigInteger
+     */
+    public function gcd(BigInteger $n)
+    {
+        return new static($this->value->gcd($n->value));
+    }
+
+    /**
+     * Absolute value.
+     *
+     * @return BigInteger
+     * @access public
+     */
+    public function abs()
+    {
+         return new static($this->value->abs());
+    }
+
+    /**
+     * Set Precision
+     *
+     * Some bitwise operations give different results depending on the precision being used.  Examples include left
+     * shift, not, and rotates.
+     *
+     * @param int $bits
+     */
+    public function setPrecision($bits)
+    {
+        $this->value->setPrecision($bits);
+    }
+
+    /**
+     * Get Precision
+     *
+     * Returns the precision if it exists, false if it doesn't
+     *
+     * @return int|bool
+     */
+    public function getPrecision()
+    {
+        return $this->value->getPrecision();
+    }
+
+    /**
+     * Serialize
+     *
+     * Will be called, automatically, when serialize() is called on a BigInteger object.
+     *
+     * phpseclib 1.0 serialized strings look like this:
+     * O:15:"Math_BigInteger":1:{s:3:"hex";s:18:"00ab54a98ceb1f0ad2";}
+     *
+     * phpseclib 3.0 serialized strings look like this:
+     * C:25:"phpseclib\Math\BigInteger":42:{a:1:{s:3:"hex";s:18:"00ab54a98ceb1f0ad2";}}
+     *
+     * @return string
+     */
+    public function serialize()
+    {
+        $val = ['hex' => $this->toHex(true)];
+        $precision = $this->value->getPrecision();
+        if ($precision > 0) {
+            $val['precision'] = $precision;
+        }
+        return serialize($val);
+    }
+
+    /**
+     * Serialize
+     *
+     * Will be called, automatically, when unserialize() is called on a BigInteger object.
+     *
+     * @param string $serialized
+     */
+    public function unserialize($serialized)
+    {
+        $r = unserialize($serialized);
+        $temp = new static($r['hex'], -16);
+        $this->value = $temp->value;
+        if (isset($r['precision'])) {
+            // recalculate $this->bitmask
+            $this->setPrecision($r['precision']);
+        }
+    }
+
+    /**
+     * Performs modular exponentiation.
+     *
+     * @param BigInteger $e
+     * @param BigInteger $n
+     * @return BigInteger
+     */
+    public function powMod(BigInteger $e, BigInteger $n)
+    {
+        return new static($this->value->powMod($e->value, $n->value));
+    }
+
+    /**
+     * Performs modular exponentiation.
+     *
+     * @param BigInteger $e
+     * @param BigInteger $n
+     * @return BigInteger
+     */
+    public function modPow(BigInteger $e, BigInteger $n)
+    {
+        return new static($this->value->modPow($e->value, $n->value));
+    }
+
+    /**
+     * Compares two numbers.
+     *
+     * Although one might think !$x->compare($y) means $x != $y, it, in fact, means the opposite.  The reason for this is
+     * demonstrated thusly:
+     *
+     * $x  > $y: $x->compare($y)  > 0
+     * $x  < $y: $x->compare($y)  < 0
+     * $x == $y: $x->compare($y) == 0
+     *
+     * Note how the same comparison operator is used.  If you want to test for equality, use $x->equals($y).
+     *
+     * {@internal Could return $this->subtract($x), but that's not as fast as what we do do.}
+     *
+     * @param BigInteger $y
+     * @return int in case < 0 if $this is less than $y; > 0 if $this is greater than $y, and 0 if they are equal.
+     * @access public
+     * @see self::equals()
+     */
+    public function compare(BigInteger $y)
+    {
+        return $this->value->compare($y->value);
+    }
+
+    /**
+     * Tests the equality of two numbers.
+     *
+     * If you need to see if one number is greater than or less than another number, use BigInteger::compare()
+     *
+     * @param BigInteger $x
+     * @return bool
+     */
+    public function equals(BigInteger $x)
+    {
+        return $this->value->equals($x->value);
+    }
+
+    /**
+     * Logical Not
+     *
+     * @return BigInteger
+     */
+    public function bitwise_not()
+    {
+        return new static($this->value->bitwise_not());
+    }
+
+    /**
+     * Logical And
+     *
+     * @param BigInteger $x
+     * @return BigInteger
+     */
+    public function bitwise_and(BigInteger $x)
+    {
+        return new static($this->value->bitwise_and($x->value));
+    }
+
+    /**
+     * Logical Or
+     *
+     * @param BigInteger $x
+     * @return BigInteger
+     */
+    public function bitwise_or(BigInteger $x)
+    {
+        return new static($this->value->bitwise_or($x->value));
+    }
+
+    /**
+     * Logical Exclusive Or
+     *
+     * @param BigInteger $x
+     * @return BigInteger
+     */
+    public function bitwise_xor(BigInteger $x)
+    {
+        return new static($this->value->bitwise_xor($x->value));
+    }
+
+    /**
+     * Logical Right Shift
+     *
+     * Shifts BigInteger's by $shift bits, effectively dividing by 2**$shift.
+     *
+     * @param int $shift
+     * @return BigInteger
+     */
+    public function bitwise_rightShift($shift)
+    {
+        return new static($this->value->bitwise_rightShift($shift));
+    }
+
+    /**
+     * Logical Left Shift
+     *
+     * Shifts BigInteger's by $shift bits, effectively multiplying by 2**$shift.
+     *
+     * @param int $shift
+     * @return BigInteger
+     */
+    public function bitwise_leftShift($shift)
+    {
+        return new static($this->value->bitwise_leftShift($shift));
+    }
+
+    /**
+     * Logical Left Rotate
+     *
+     * Instead of the top x bits being dropped they're appended to the shifted bit string.
+     *
+     * @param int $shift
+     * @return BigInteger
+     */
+    public function bitwise_leftRotate($shift)
+    {
+        return new static($this->value->bitwise_leftRotate($shift));
+    }
+
+    /**
+     * Logical Right Rotate
+     *
+     * Instead of the bottom x bits being dropped they're prepended to the shifted bit string.
+     *
+     * @param int $shift
+     * @return BigInteger
+     */
+    public function bitwise_rightRotate($shift)
+    {
+        return new static($this->value->bitwise_rightRotate($shift));
+    }
+
+    /**
+     * Returns the smallest and largest n-bit number
+     *
+     * @param int $bits
+     * @return BigInteger[]
+     */
+    public static function minMaxBits($bits)
+    {
+        self::initialize_static_variables();
+
+        $class = self::$mainEngine;
+        extract($class::minMaxBits($bits));
+        /** @var BigInteger $min
+         *  @var BigInteger $max
+         */
+        return [
+            'min' => new static($min),
+            'max' => new static($max)
+        ];
+    }
+
+    /**
+     * Return the size of a BigInteger in bits
+     *
+     * @return int
+     */
+    public function getLength()
+    {
+        return $this->value->getLength();
+    }
+
+    /**
+     * Return the size of a BigInteger in bytes
+     *
+     * @return int
+     */
+    public function getLengthInBytes()
+    {
+        return $this->value->getLengthInBytes();
+    }
+
+    /**
+     * Generates a random number of a certain size
+     *
+     * Bit length is equal to $size
+     *
+     * @param int $size
+     * @return BigInteger
+     */
+    public static function random($size)
+    {
+        self::initialize_static_variables();
+
+        $class = self::$mainEngine;
+        return new static($class::random($size));
+    }
+
+    /**
+     * Generates a random prime number of a certain size
+     *
+     * Bit length is equal to $size
+     *
+     * @param int $size
+     * @return BigInteger
+     */
+    public static function randomPrime($size)
+    {
+        self::initialize_static_variables();
+
+        $class = self::$mainEngine;
+        return new static($class::randomPrime($size));
+    }
+
+    /**
+     * Generate a random prime number between a range
+     *
+     * If there's not a prime within the given range, false will be returned.
+     *
+     * @param BigInteger $min
+     * @param BigInteger $max
+     * @return false|BigInteger
+     */
+    public static function randomRangePrime(BigInteger $min, BigInteger $max)
+    {
+        $class = self::$mainEngine;
+        return new static($class::randomRangePrime($min->value, $max->value));
+    }
+
+    /**
+     * Generate a random number between a range
+     *
+     * Returns a random number between $min and $max where $min and $max
+     * can be defined using one of the two methods:
+     *
+     * BigInteger::randomRange($min, $max)
+     * BigInteger::randomRange($max, $min)
+     *
+     * @param BigInteger $min
+     * @param BigInteger $max
+     * @return BigInteger
+     */
+    public static function randomRange(BigInteger $min, BigInteger $max)
+    {
+        $class = self::$mainEngine;
+        return new static($class::randomRange($min->value, $max->value));
+    }
+
+    /**
+     * Checks a numer to see if it's prime
+     *
+     * Assuming the $t parameter is not set, this function has an error rate of 2**-80.  The main motivation for the
+     * $t parameter is distributability.  BigInteger::randomPrime() can be distributed across multiple pageloads
+     * on a website instead of just one.
+     *
+     * @param int|bool $t
+     * @return bool
+     */
+    public function isPrime($t = false)
+    {
+        return $this->value->isPrime($t);
+    }
+
+    /**
+     * Calculates the nth root of a biginteger.
+     *
+     * Returns the nth root of a positive biginteger, where n defaults to 2
+     *
+     * @param int $n optional
+     * @return BigInteger
+     */
+    public function root($n = 2)
+    {
+        return new static($this->value->root($n));
+    }
+
+    /**
+     * Performs exponentiation.
+     *
+     * @param BigInteger $n
+     * @return BigInteger
+     */
+    public function pow(BigInteger $n)
+    {
+        return new static($this->value->pow($n->value));
+    }
+
+    /**
+     * Return the minimum BigInteger between an arbitrary number of BigIntegers.
+     *
+     * @param BigInteger ...$nums
+     * @return BigInteger
+     */
+    public static function min(BigInteger ...$nums)
+    {
+        $class = self::$mainEngine;
+        $nums = array_map(function($num) { return $num->value; }, $nums);
+        return new static($class::min(...$nums));
+    }
+
+    /**
+     * Return the maximum BigInteger between an arbitrary number of BigIntegers.
+     *
+     * @param BigInteger ...$nums
+     * @return BigInteger
+     */
+    public static function max(BigInteger ...$nums)
+    {
+        $class = self::$mainEngine;
+        $nums = array_map(function($num) { return $num->value; }, $nums);
+        return new static($class::max(...$nums));
+    }
+
+    /**
+     * Tests BigInteger to see if it is between two integers, inclusive
+     *
+     * @param BigInteger $min
+     * @param BigInteger $max
+     * @return bool
+     */
+    public function between(BigInteger $min, BigInteger $max)
+    {
+        return $this->value->between($min->value, $max->value);
+    }
+
+    /**
+     * Clone
+     */
+    public function __clone()
+    {
+        $this->value = clone $this->value;
+    }
+
+    /**
+     * Is Odd?
+     *
+     * @return boolean
+     */
+    public function isOdd()
+    {
+        return $this->value->isOdd();
+    }
+
+    /**
+     * Tests if a bit is set
+     *
+     * @param int $x
+     * @return boolean
+     */
+    public function testBit($x)
+    {
+        return $this->value->testBit($x);
+    }
+
+    /**
+     * Is Negative?
+     *
+     * @return boolean
+     */
+    public function isNegative()
+    {
+        return $this->value->isNegative();
+    }
+
+    /**
+     * Negate
+     *
+     * Given $k, returns -$k
+     *
+     * @return BigInteger
+     */
+    public function negate()
+    {
+        return new static($this->value->negate());
+    }
+
+    /**
+     * Scan for 1 and right shift by that amount
+     *
+     * ie. $s = gmp_scan1($n, 0) and $r = gmp_div_q($n, gmp_pow(gmp_init('2'), $s));
+     *
+     * @param BigInteger $r
+     * @return int
+     */
+    public static function scan1divide(BigInteger $r)
+    {
+        $class = self::$mainEngine;
+        return $class::scan1divide($r->value);
+    }
+
+    /**
+     * Create Recurring Modulo Function
+     *
+     * Sometimes it may be desirable to do repeated modulos with the same number outside of
+     * modular exponentiation
+     *
+     * @return callable
+     */
+    public function createRecurringModuloFunction()
+    {
+        $func = $this->value->createRecurringModuloFunction();
+        return function(BigInteger $x) use ($func) {
+            return new static($func($x->value));
+        };
+    }
+
+    /**
+     * Bitwise Split
+     *
+     * Splits BigInteger's into chunks of $split bits
+     *
+     * @param int $split
+     * @return \phpseclib3\Math\BigInteger[]
+     */
+    public function bitwise_split($split)
+    {
+        return array_map(function($val) {
+            return new static($val);
+        }, $this->value->bitwise_split($split));
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/BCMath.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/BCMath.php
new file mode 100644
index 000000000..b97392432
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/BCMath.php
@@ -0,0 +1,742 @@
+<?php
+
+/**
+ * BCMath BigInteger Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines;
+
+use ParagonIE\ConstantTime\Hex;
+use phpseclib3\Exception\BadConfigurationException;
+
+/**
+ * BCMath Engine.
+ *
+ * @package BCMath
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class BCMath extends Engine
+{
+    /**
+     * Can Bitwise operations be done fast?
+     *
+     * @see parent::bitwise_leftRotate()
+     * @see parent::bitwise_rightRotate()
+     * @access protected
+     */
+    const FAST_BITWISE = false;
+
+    /**
+     * Engine Directory
+     *
+     * @see parent::setModExpEngine
+     * @access protected
+     */
+    const ENGINE_DIR = 'BCMath';
+
+    /**
+     * Modular Exponentiation Engine
+     *
+     * @var string
+     */
+    protected static $modexpEngine;
+
+    /**
+     * Engine Validity Flag
+     *
+     * @var bool
+     */
+    protected static $isValidEngine;
+
+    /**
+     * BigInteger(0)
+     *
+     * @var \phpseclib3\Math\BigInteger\Engines\BCMath
+     */
+    protected static $zero;
+
+    /**
+     * BigInteger(1)
+     *
+     * @var \phpseclib3\Math\BigInteger\Engines\BCMath
+     */
+    protected static $one;
+
+    /**
+     * BigInteger(2)
+     *
+     * @var \phpseclib3\Math\BigInteger\Engines\BCMath
+     */
+    protected static $two;
+
+    /**
+     * Primes > 2 and < 1000
+     *
+     * @var array
+     */
+    protected static $primes;
+
+    /**
+     * Test for engine validity
+     *
+     * @see parent::__construct()
+     * @return bool
+     */
+    public static function isValidEngine()
+    {
+        return extension_loaded('bcmath');
+    }
+
+    /**
+     * Default constructor
+     *
+     * @param mixed $x integer Base-10 number or base-$base number if $base set.
+     * @param int $base
+     * @see parent::__construct()
+     * @return \phpseclib3\Math\BigInteger\Engines\BCMath
+     */
+    public function __construct($x = 0, $base = 10)
+    {
+        if (!isset(self::$isValidEngine)) {
+            self::$isValidEngine = self::isValidEngine();
+        }
+        if (!self::$isValidEngine) {
+            throw new BadConfigurationException('BCMath is not setup correctly on this system');
+        }
+
+        $this->value = '0';
+
+        parent::__construct($x, $base);
+    }
+
+    /**
+     * Initialize a BCMath BigInteger Engine instance
+     *
+     * @param int $base
+     * @see parent::__construct()
+     */
+    protected function initialize($base)
+    {
+        switch (abs($base)) {
+            case 256:
+                // round $len to the nearest 4
+                $len = (strlen($this->value) + 3) & 0xFFFFFFFC;
+
+                $x = str_pad($this->value, $len, chr(0), STR_PAD_LEFT);
+
+                $this->value = '0';
+                for ($i = 0; $i < $len; $i+= 4) {
+                    $this->value = bcmul($this->value, '4294967296', 0); // 4294967296 == 2**32
+                    $this->value = bcadd($this->value, 0x1000000 * ord($x[$i]) + ((ord($x[$i + 1]) << 16) | (ord($x[$i + 2]) << 8) | ord($x[$i + 3])), 0);
+                }
+
+                if ($this->is_negative) {
+                    $this->value = '-' . $this->value;
+                }
+                break;
+            case 16:
+                $x = (strlen($this->value) & 1) ? '0' . $this->value : $this->value;
+                $temp = new self(Hex::decode($x), 256);
+                $this->value = $this->is_negative ? '-' . $temp->value : $temp->value;
+                $this->is_negative = false;
+                break;
+            case 10:
+                // explicitly casting $x to a string is necessary, here, since doing $x[0] on -1 yields different
+                // results then doing it on '-1' does (modInverse does $x[0])
+                $this->value = $this->value === '-' ? '0' : (string) $this->value;
+        }
+    }
+
+    /**
+     * Converts a BigInteger to a base-10 number.
+     *
+     * @return string
+     */
+    public function toString()
+    {
+        if ($this->value === '0') {
+            return '0';
+        }
+
+        return ltrim($this->value, '0');
+    }
+
+    /**
+     * Converts a BigInteger to a byte string (eg. base-256).
+     *
+     * @param bool $twos_compliment
+     * @return string
+     */
+    function toBytes($twos_compliment = false)
+    {
+        if ($twos_compliment) {
+            return $this->toBytesHelper();
+        }
+
+        $value = '';
+        $current = $this->value;
+
+        if ($current[0] == '-') {
+            $current = substr($current, 1);
+        }
+
+        while (bccomp($current, '0', 0) > 0) {
+            $temp = bcmod($current, '16777216');
+            $value = chr($temp >> 16) . chr($temp >> 8) . chr($temp) . $value;
+            $current = bcdiv($current, '16777216', 0);
+        }
+
+        return $this->precision > 0 ?
+            substr(str_pad($value, $this->precision >> 3, chr(0), STR_PAD_LEFT), -($this->precision >> 3)) :
+            ltrim($value, chr(0));
+    }
+
+    /**
+     * Adds two BigIntegers.
+     *
+     * @param BCMath $y
+     * @return BCMath
+     */
+    public function add(BCMath $y)
+    {
+        $temp = new self();
+        $temp->value = bcadd($this->value, $y->value);
+
+        return $this->normalize($temp);
+    }
+
+    /**
+     * Subtracts two BigIntegers.
+     *
+     * @param BCMath $y
+     * @return BCMath
+     */
+    public function subtract(BCMath $y)
+    {
+        $temp = new self();
+        $temp->value = bcsub($this->value, $y->value);
+
+        return $this->normalize($temp);
+    }
+
+    /**
+     * Multiplies two BigIntegers.
+     *
+     * @param BCMath $x
+     * @return BCMath
+     */
+    public function multiply(BCMath $x)
+    {
+        $temp = new self();
+        $temp->value = bcmul($this->value, $x->value);
+
+        return $this->normalize($temp);
+    }
+
+    /**
+     * Divides two BigIntegers.
+     *
+     * Returns an array whose first element contains the quotient and whose second element contains the
+     * "common residue".  If the remainder would be positive, the "common residue" and the remainder are the
+     * same.  If the remainder would be negative, the "common residue" is equal to the sum of the remainder
+     * and the divisor (basically, the "common residue" is the first positive modulo).
+     *
+     * @param BCMath $y
+     * @return BCMath
+     */
+    public function divide(BCMath $y)
+    {
+        $quotient = new self();
+        $remainder = new self();
+
+        $quotient->value = bcdiv($this->value, $y->value, 0);
+        $remainder->value = bcmod($this->value, $y->value);
+
+        if ($remainder->value[0] == '-') {
+            $remainder->value = bcadd($remainder->value, $y->value[0] == '-' ? substr($y->value, 1) : $y->value, 0);
+        }
+
+        return [$this->normalize($quotient), $this->normalize($remainder)];
+    }
+
+    /**
+     * Calculates modular inverses.
+     *
+     * Say you have (30 mod 17 * x mod 17) mod 17 == 1.  x can be found using modular inverses.
+     *
+     * @return false|BCMath
+     * @param \phpseclib3\Math\BigInteger\Engines\BCMath $n
+     */
+    public function modInverse(BCMath $n)
+    {
+        return $this->modInverseHelper($n);
+    }
+
+    /**
+     * Calculates the greatest common divisor and Bezout's identity.
+     *
+     * Say you have 693 and 609.  The GCD is 21.  Bezout's identity states that there exist integers x and y such that
+     * 693*x + 609*y == 21.  In point of fact, there are actually an infinite number of x and y combinations and which
+     * combination is returned is dependent upon which mode is in use.  See
+     * {@link http://en.wikipedia.org/wiki/B%C3%A9zout%27s_identity Bezout's identity - Wikipedia} for more information.
+     *
+     * @param BCMath $n
+     * @return BCMath
+     */
+    public function extendedGCD(BCMath $n)
+    {
+        // it might be faster to use the binary xGCD algorithim here, as well, but (1) that algorithim works
+        // best when the base is a power of 2 and (2) i don't think it'd make much difference, anyway.  as is,
+        // the basic extended euclidean algorithim is what we're using.
+
+        $u = $this->value;
+        $v = $n->value;
+
+        $a = '1';
+        $b = '0';
+        $c = '0';
+        $d = '1';
+
+        while (bccomp($v, '0', 0) != 0) {
+            $q = bcdiv($u, $v, 0);
+
+            $temp = $u;
+            $u = $v;
+            $v = bcsub($temp, bcmul($v, $q, 0), 0);
+
+            $temp = $a;
+            $a = $c;
+            $c = bcsub($temp, bcmul($a, $q, 0), 0);
+
+            $temp = $b;
+            $b = $d;
+            $d = bcsub($temp, bcmul($b, $q, 0), 0);
+        }
+
+        return [
+            'gcd' => $this->normalize(new static($u)),
+            'x'   => $this->normalize(new static($a)),
+            'y'   => $this->normalize(new static($b))
+        ];
+    }
+
+    /**
+     * Calculates the greatest common divisor
+     *
+     * Say you have 693 and 609.  The GCD is 21.
+     *
+     * @param BCMath $n
+     * @return BCMath
+     */
+    public function gcd(BCMath $n)
+    {
+        extract($this->extendedGCD($n));
+        /** @var BCMath $gcd */
+        return $gcd;
+    }
+
+    /**
+     * Absolute value.
+     *
+     * @return \phpseclib3\Math\BigInteger\Engines\BCMath
+     */
+    public function abs()
+    {
+        $temp = new static();
+        $temp->value = strlen($this->value) && $this->value[0] == '-' ?
+            substr($this->value, 1) :
+            $this->value;
+
+        return $temp;
+    }
+
+    /**
+     * Logical And
+     *
+     * @param BCMath $x
+     * @return BCMath
+     */
+    public function bitwise_and(BCMath $x)
+    {
+        return $this->bitwiseAndHelper($x);
+    }
+
+    /**
+     * Logical Or
+     *
+     * @param BCMath $x
+     * @return BCMath
+     */
+    public function bitwise_or(BCMath $x)
+    {
+        return $this->bitwiseXorHelper($x);
+    }
+
+    /**
+     * Logical Exclusive Or
+     *
+     * @param BCMath $x
+     * @return BCMath
+     */
+    public function bitwise_xor(BCMath $x)
+    {
+        return $this->bitwiseXorHelper($x);
+    }
+
+    /**
+     * Logical Right Shift
+     *
+     * Shifts BigInteger's by $shift bits, effectively dividing by 2**$shift.
+     *
+     * @param int $shift
+     * @return \phpseclib3\Math\BigInteger\Engines\BCMath
+     */
+    public function bitwise_rightShift($shift)
+    {
+        $temp = new static();
+        $temp->value = bcdiv($this->value, bcpow('2', $shift, 0), 0);
+
+        return $this->normalize($temp);
+    }
+
+    /**
+     * Logical Left Shift
+     *
+     * Shifts BigInteger's by $shift bits, effectively multiplying by 2**$shift.
+     *
+     * @param int $shift
+     * @return \phpseclib3\Math\BigInteger\Engines\BCMath
+     */
+    public function bitwise_leftShift($shift)
+    {
+        $temp = new static();
+        $temp->value = bcmul($this->value, bcpow('2', $shift, 0), 0);
+
+        return $this->normalize($temp);
+    }
+
+    /**
+     * Compares two numbers.
+     *
+     * Although one might think !$x->compare($y) means $x != $y, it, in fact, means the opposite.  The reason for this is
+     * demonstrated thusly:
+     *
+     * $x  > $y: $x->compare($y)  > 0
+     * $x  < $y: $x->compare($y)  < 0
+     * $x == $y: $x->compare($y) == 0
+     *
+     * Note how the same comparison operator is used.  If you want to test for equality, use $x->equals($y).
+     *
+     * {@internal Could return $this->subtract($x), but that's not as fast as what we do do.}
+     *
+     * @param BCMath $y
+     * @return int in case < 0 if $this is less than $y; > 0 if $this is greater than $y, and 0 if they are equal.
+     * @see self::equals()
+     */
+    public function compare(BCMath $y)
+    {
+        return bccomp($this->value, $y->value, 0);
+    }
+
+    /**
+     * Tests the equality of two numbers.
+     *
+     * If you need to see if one number is greater than or less than another number, use BigInteger::compare()
+     *
+     * @param BCMath $x
+     * @return bool
+     */
+    public function equals(BCMath $x)
+    {
+        return $this->value == $x->value;
+    }
+
+    /**
+     * Performs modular exponentiation.
+     *
+     * @param BCMath $e
+     * @param BCMath $n
+     * @return BCMath
+     */
+    public function modPow(BCMath $e, BCMath $n)
+    {
+        return $this->powModOuter($e, $n);
+    }
+
+    /**
+     * Performs modular exponentiation.
+     *
+     * Alias for modPow().
+     *
+     * @param BCMath $e
+     * @param BCMath $n
+     * @return BCMath
+     */
+    public function powMod(BCMath $e, BCMath $n)
+    {
+        return $this->powModOuter($e, $n);
+    }
+
+    /**
+     * Performs modular exponentiation.
+     *
+     * @param BCMath $e
+     * @param BCMath $n
+     * @return BCMath
+     */
+    protected function powModInner(BCMath $e, BCMath $n)
+    {
+        try {
+            $class = self::$modexpEngine;
+            return $class::powModHelper($this, $e, $n, static::class);
+        } catch (\Exception $err) {
+            return BCMath\DefaultEngine::powModHelper($this, $e, $n, static::class);
+        }
+    }
+
+    /**
+     * Normalize
+     *
+     * Removes leading zeros and truncates (if necessary) to maintain the appropriate precision
+     *
+     * @param BCMath $result
+     * @return BCMath
+     */
+    protected function normalize(BCMath $result)
+    {
+        unset($result->reduce);
+
+        $result->precision = $this->precision;
+        $result->bitmask = $this->bitmask;
+
+        if ($result->bitmask !== false) {
+            $result->value = bcmod($result->value, $result->bitmask->value);
+        }
+
+        return $result;
+    }
+
+    /**
+     * Generate a random prime number between a range
+     *
+     * If there's not a prime within the given range, false will be returned.
+     *
+     * @param BCMath $min
+     * @param BCMath $max
+     * @return false|BCMath
+     */
+    public static function randomRangePrime(BCMath $min, BCMath $max)
+    {
+        return self::randomRangePrimeOuter($min, $max);
+    }
+
+    /**
+     * Generate a random number between a range
+     *
+     * Returns a random number between $min and $max where $min and $max
+     * can be defined using one of the two methods:
+     *
+     * BigInteger::randomRange($min, $max)
+     * BigInteger::randomRange($max, $min)
+     *
+     * @param BCMath $min
+     * @param BCMath $max
+     * @return BCMath
+     */
+    public static function randomRange(BCMath $min, BCMath $max)
+    {
+        return self::randomRangeHelper($min, $max);
+    }
+
+    /**
+     * Make the current number odd
+     *
+     * If the current number is odd it'll be unchanged.  If it's even, one will be added to it.
+     *
+     * @see self::randomPrime()
+     */
+    protected function make_odd()
+    {
+        if (!$this->isOdd()) {
+            $this->value = bcadd($this->value, '1');
+        }
+    }
+
+    /**
+     * Test the number against small primes.
+     *
+     * @see self::isPrime()
+     */
+    protected function testSmallPrimes()
+    {
+        if ($this->value === '1') {
+            return false;
+        }
+        if ($this->value === '2') {
+            return true;
+        }
+        if ($this->value[strlen($this->value) - 1] % 2 == 0) {
+            return false;
+        }
+
+        $value = $this->value;
+
+        foreach (self::$primes as $prime) {
+            $r = bcmod($this->value, $prime);
+            if ($r == '0') {
+                return $this->value == $prime;
+            }
+        }
+
+        return true;
+    }
+
+    /**
+     * Scan for 1 and right shift by that amount
+     *
+     * ie. $s = gmp_scan1($n, 0) and $r = gmp_div_q($n, gmp_pow(gmp_init('2'), $s));
+     *
+     * @see self::isPrime()
+     * @param BCMath $r
+     * @return int
+     */
+    public static function scan1divide(BCMath $r)
+    {
+        $r_value = &$r->value;
+        $s = 0;
+        // if $n was 1, $r would be 0 and this would be an infinite loop, hence our $this->equals(static::$one) check earlier
+        while ($r_value[strlen($r_value) - 1] % 2 == 0) {
+            $r_value = bcdiv($r_value, '2', 0);
+            ++$s;
+        }
+
+        return $s;
+    }
+
+    /**
+     * Performs exponentiation.
+     *
+     * @param BCMath $n
+     * @return BCMath
+     */
+    public function pow(BCMath $n)
+    {
+        $temp = new self();
+        $temp->value = bcpow($this->value, $n->value);
+
+        return $this->normalize($temp);
+    }
+
+    /**
+     * Return the minimum BigInteger between an arbitrary number of BigIntegers.
+     *
+     * @param BCMath ...$nums
+     * @return BCMath
+     */
+    public static function min(BCMath ...$nums)
+    {
+        return self::minHelper($nums);
+    }
+
+    /**
+     * Return the maximum BigInteger between an arbitrary number of BigIntegers.
+     *
+     * @param BCMath ...$nums
+     * @return BCMath
+     */
+    public static function max(BCMath ...$nums)
+    {
+        return self::maxHelper($nums);
+    }
+
+    /**
+     * Tests BigInteger to see if it is between two integers, inclusive
+     *
+     * @param BCMath $min
+     * @param BCMath $max
+     * @return bool
+     */
+    public function between(BCMath $min, BCMath $max)
+    {
+        return $this->compare($min) >= 0 && $this->compare($max) <= 0;
+    }
+
+    /**
+     * Set Bitmask
+     *
+     * @return Engine
+     * @param int $bits
+     * @see self::setPrecision()
+     */
+    protected static function setBitmask($bits)
+    {
+        $temp = parent::setBitmask($bits);
+        return $temp->add(static::$one);
+    }
+
+    /**
+     * Is Odd?
+     *
+     * @return boolean
+     */
+    public function isOdd()
+    {
+        return $this->value[strlen($this->value) - 1] % 2 == 1;
+    }
+
+    /**
+     * Tests if a bit is set
+     *
+     * @return boolean
+     */
+    public function testBit($x)
+    {
+        return bccomp(
+            bcmod($this->value, bcpow('2', $x + 1, 0), 0),
+            bcpow('2', $x, 0),
+            0
+        ) >= 0;
+    }
+
+    /**
+     * Is Negative?
+     *
+     * @return boolean
+     */
+    public function isNegative()
+    {
+        return strlen($this->value) && $this->value[0] == '-';
+    }
+
+    /**
+     * Negate
+     *
+     * Given $k, returns -$k
+     *
+     * @return BCMath
+     */
+    public function negate()
+    {
+        $temp = clone $this;
+
+        if (!strlen($temp->value)) {
+            return $temp;
+        }
+
+        $temp->value = $temp->value[0] == '-' ?
+            substr($this->value, 1) :
+            '-' . $this->value;
+
+        return $temp;
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/BCMath/Base.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/BCMath/Base.php
new file mode 100644
index 000000000..0e189b707
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/BCMath/Base.php
@@ -0,0 +1,116 @@
+<?php
+
+/**
+ * Modular Exponentiation Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines\BCMath;
+
+use phpseclib3\Math\BigInteger\Engines\BCMath;
+
+/**
+ * Sliding Window Exponentiation Engine
+ *
+ * @package PHP
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Base extends BCMath
+{
+    /**
+     * Cache constants
+     *
+     * $cache[self::VARIABLE] tells us whether or not the cached data is still valid.
+     *
+     * @access private
+     */
+    const VARIABLE = 0;
+    /**
+     * $cache[self::DATA] contains the cached data.
+     *
+     * @access private
+     */
+    const DATA = 1;
+
+    /**
+     * Test for engine validity
+     *
+     * @return bool
+     */
+    public static function isValidEngine()
+    {
+        return static::class != __CLASS__;
+    }
+
+    /**
+     * Performs modular exponentiation.
+     *
+     * @param \phpseclib3\Math\BigInteger\Engines\BCMath $x
+     * @param \phpseclib3\Math\BigInteger\Engines\BCMath $e
+     * @param \phpseclib3\Math\BigInteger\Engines\BCMath $n
+     * @param string $class
+     * @return \phpseclib3\Math\BigInteger\Engines\BCMath
+     */
+    protected static function powModHelper(BCMath $x, BCMath $e, BCMath $n, $class)
+    {
+        if (empty($e->value)) {
+            $temp = new $class();
+            $temp->value = '1';
+            return $x->normalize($temp);
+        }
+
+        return $x->normalize(static::slidingWindow($x, $e, $n, $class));
+    }
+
+    /**
+     * Modular reduction preparation
+     *
+     * @param string $x
+     * @param string $n
+     * @param string $class
+     * @see self::slidingWindow()
+     * @return string
+     */
+    protected static function prepareReduce($x, $n, $class)
+    {
+        return static::reduce($x, $n);
+    }
+
+    /**
+     * Modular multiply
+     *
+     * @param string $x
+     * @param string $y
+     * @param string $n
+     * @param string $class
+     * @see self::slidingWindow()
+     * @return string
+     */
+    protected static function multiplyReduce($x, $y, $n, $class)
+    {
+        return static::reduce(bcmul($x, $y), $n);
+    }
+
+    /**
+     * Modular square
+     *
+     * @param string $x
+     * @param string $n
+     * @param string $class
+     * @see self::slidingWindow()
+     * @return string
+     */
+    protected static function squareReduce($x, $n, $class)
+    {
+        return static::reduce(bcmul($x, $x), $n);
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/BCMath/BuiltIn.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/BCMath/BuiltIn.php
new file mode 100644
index 000000000..f312be15e
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/BCMath/BuiltIn.php
@@ -0,0 +1,44 @@
+<?php
+
+/**
+ * Built-In BCMath Modular Exponentiation Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines\BCMath;
+
+use phpseclib3\Math\BigInteger\Engines\BCMath;
+
+/**
+ * Built-In BCMath Modular Exponentiation Engine
+ *
+ * @package BCMath
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class BuiltIn extends BCMath
+{
+    /**
+     * Performs modular exponentiation.
+     *
+     * @param BCMath $x
+     * @param BCMath $e
+     * @param BCMath $n
+     * @return BCMath
+     */
+    protected static function powModHelper(BCMath $x, BCMath $e, BCMath $n)
+    {
+        $temp = new BCMath();
+        $temp->value = bcpowmod($x->value, $e->value, $n->value);
+
+        return $x->normalize($temp);
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/BCMath/DefaultEngine.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/BCMath/DefaultEngine.php
new file mode 100644
index 000000000..a6d175f5c
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/BCMath/DefaultEngine.php
@@ -0,0 +1,29 @@
+<?php
+
+/**
+ * BCMath Default Modular Exponentiation Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines\BCMath;
+
+use phpseclib3\Math\BigInteger\Engines\BCMath\Reductions\Barrett;
+
+/**
+ * PHP Default Modular Exponentiation Engine
+ *
+ * @package PHP
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class DefaultEngine extends Barrett
+{
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/BCMath/OpenSSL.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/BCMath/OpenSSL.php
new file mode 100644
index 000000000..df7c965d6
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/BCMath/OpenSSL.php
@@ -0,0 +1,29 @@
+<?php
+
+/**
+ * OpenSSL Modular Exponentiation Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines\BCMath;
+
+use phpseclib3\Math\BigInteger\Engines\OpenSSL as Progenitor;
+
+/**
+ * OpenSSL Modular Exponentiation Engine
+ *
+ * @package BCMath
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class OpenSSL extends Progenitor
+{
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/BCMath/Reductions/Barrett.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/BCMath/Reductions/Barrett.php
new file mode 100644
index 000000000..32b16dca6
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/BCMath/Reductions/Barrett.php
@@ -0,0 +1,193 @@
+<?php
+
+/**
+ * BCMath Barrett Modular Exponentiation Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines\BCMath\Reductions;
+
+use phpseclib3\Math\BigInteger\Engines\BCMath\Base;
+
+/**
+ * PHP Barrett Modular Exponentiation Engine
+ *
+ * @package PHP
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Barrett extends Base
+{
+    /**
+     * Cache constants
+     *
+     * $cache[self::VARIABLE] tells us whether or not the cached data is still valid.
+     *
+     * @access private
+     */
+    const VARIABLE = 0;
+    /**
+     * $cache[self::DATA] contains the cached data.
+     *
+     * @access private
+     */
+    const DATA = 1;
+
+    /**
+     * Barrett Modular Reduction
+     *
+     * See {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=14 HAC 14.3.3} /
+     * {@link http://math.libtomcrypt.com/files/tommath.pdf#page=165 MPM 6.2.5} for more information.  Modified slightly,
+     * so as not to require negative numbers (initially, this script didn't support negative numbers).
+     *
+     * Employs "folding", as described at
+     * {@link http://www.cosic.esat.kuleuven.be/publications/thesis-149.pdf#page=66 thesis-149.pdf#page=66}.  To quote from
+     * it, "the idea [behind folding] is to find a value x' such that x (mod m) = x' (mod m), with x' being smaller than x."
+     *
+     * Unfortunately, the "Barrett Reduction with Folding" algorithm described in thesis-149.pdf is not, as written, all that
+     * usable on account of (1) its not using reasonable radix points as discussed in
+     * {@link http://math.libtomcrypt.com/files/tommath.pdf#page=162 MPM 6.2.2} and (2) the fact that, even with reasonable
+     * radix points, it only works when there are an even number of digits in the denominator.  The reason for (2) is that
+     * (x >> 1) + (x >> 1) != x / 2 + x / 2.  If x is even, they're the same, but if x is odd, they're not.  See the in-line
+     * comments for details.
+     *
+     * @param string $n
+     * @param string $m
+     * @return array|string
+     */
+    protected static function reduce($n, $m)
+    {
+        static $cache = [
+            self::VARIABLE => [],
+            self::DATA => []
+        ];
+
+        $m_length = strlen($m);
+
+        if (strlen($n) > 2 * $m_length) {
+            return bcmod($n, $m);
+        }
+
+        // if (m.length >> 1) + 2 <= m.length then m is too small and n can't be reduced
+        if ($m_length < 5) {
+            return self::regularBarrett($n, $m);
+        }
+        // n = 2 * m.length
+
+        if (($key = array_search($m, $cache[self::VARIABLE])) === false) {
+            $key = count($cache[self::VARIABLE]);
+            $cache[self::VARIABLE][] = $m;
+
+            $lhs = '1' . str_repeat('0', $m_length + ($m_length >> 1));
+            $u = bcdiv($lhs, $m, 0);
+            $m1 = bcsub($lhs, bcmul($u, $m));
+
+            $cache[self::DATA][] = [
+                'u' => $u, // m.length >> 1 (technically (m.length >> 1) + 1)
+                'm1'=> $m1 // m.length
+            ];
+        } else {
+            extract($cache[self::DATA][$key]);
+        }
+
+        $cutoff = $m_length + ($m_length >> 1);
+
+        $lsd = substr($n, -$cutoff);
+        $msd = substr($n, 0, -$cutoff);
+
+        $temp = bcmul($msd, $m1); // m.length + (m.length >> 1)
+        $n = bcadd($lsd, $temp); // m.length + (m.length >> 1) + 1 (so basically we're adding two same length numbers)
+        //if ($m_length & 1) {
+        //    return self::regularBarrett($n, $m);
+        //}
+
+        // (m.length + (m.length >> 1) + 1) - (m.length - 1) == (m.length >> 1) + 2
+        $temp = substr($n, 0, -$m_length + 1);
+        // if even: ((m.length >> 1) + 2) + (m.length >> 1) == m.length + 2
+        // if odd:  ((m.length >> 1) + 2) + (m.length >> 1) == (m.length - 1) + 2 == m.length + 1
+        $temp = bcmul($temp, $u);
+        // if even: (m.length + 2) - ((m.length >> 1) + 1) = m.length - (m.length >> 1) + 1
+        // if odd:  (m.length + 1) - ((m.length >> 1) + 1) = m.length - (m.length >> 1)
+        $temp = substr($temp, 0, -($m_length >> 1) - 1);
+        // if even: (m.length - (m.length >> 1) + 1) + m.length = 2 * m.length - (m.length >> 1) + 1
+        // if odd:  (m.length - (m.length >> 1)) + m.length     = 2 * m.length - (m.length >> 1)
+        $temp = bcmul($temp, $m);
+
+        // at this point, if m had an odd number of digits, we'd be subtracting a 2 * m.length - (m.length >> 1) digit
+        // number from a m.length + (m.length >> 1) + 1 digit number.  ie. there'd be an extra digit and the while loop
+        // following this comment would loop a lot (hence our calling _regularBarrett() in that situation).
+
+        $result = bcsub($n, $temp);
+
+        //if (bccomp($result, '0') < 0) {
+        if ($result[0] == '-') {
+            $temp = '1' . str_repeat('0', $m_length + 1);
+            $result = bcadd($result, $temp);
+        }
+
+        while (bccomp($result, $m) >= 0) {
+            $result = bcsub($result, $m);
+        }
+
+        return $result;
+    }
+
+    /**
+     * (Regular) Barrett Modular Reduction
+     *
+     * For numbers with more than four digits BigInteger::_barrett() is faster.  The difference between that and this
+     * is that this function does not fold the denominator into a smaller form.
+     *
+     * @param string $x
+     * @param string $n
+     * @return string
+     */
+    private static function regularBarrett($x, $n)
+    {
+        static $cache = [
+            self::VARIABLE => [],
+            self::DATA => []
+        ];
+
+        $n_length = strlen($n);
+
+        if (strlen($x) > 2 * $n_length) {
+            return bcmod($x, $n);
+        }
+
+        if (($key = array_search($n, $cache[self::VARIABLE])) === false) {
+            $key = count($cache[self::VARIABLE]);
+            $cache[self::VARIABLE][] = $n;
+            $lhs = '1' . str_repeat('0', 2 * $n_length);
+            $cache[self::DATA][] = bcdiv($lhs, $n, 0);
+        }
+
+        $temp = substr($x, 0, -$n_length + 1);
+        $temp = bcmul($temp, $cache[self::DATA][$key]);
+        $temp = substr($temp, 0, -$n_length - 1);
+
+        $r1 = substr($x, -$n_length - 1);
+        $r2 = substr(bcmul($temp, $n), -$n_length - 1);
+        $result = bcsub($r1, $r2);
+
+        //if (bccomp($result, '0') < 0) {
+        if ($result[0] == '-') {
+            $q = '1' . str_repeat('0', $n_length + 1);
+            $result = bcadd($result, $q);
+        }
+
+        while (bccomp($result, $n) >= 0) {
+            $result = bcsub($result, $n);
+        }
+
+        return $result;
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/BCMath/Reductions/EvalBarrett.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/BCMath/Reductions/EvalBarrett.php
new file mode 100644
index 000000000..27530ec7d
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/BCMath/Reductions/EvalBarrett.php
@@ -0,0 +1,117 @@
+<?php
+
+/**
+ * BCMath Dynamic Barrett Modular Exponentiation Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines\BCMath\Reductions;
+
+use phpseclib3\Math\BigInteger\Engines\BCMath\Base;
+use phpseclib3\Math\BigInteger\Engines\BCMath;
+
+/**
+ * PHP Barrett Modular Exponentiation Engine
+ *
+ * @package PHP
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class EvalBarrett extends Base
+{
+    /**
+     * Custom Reduction Function
+     *
+     * @see self::generateCustomReduction
+     */
+    private static $custom_reduction;
+
+    /**
+     * Barrett Modular Reduction
+     *
+     * This calls a dynamically generated loop unrolled function that's specific to a given modulo.
+     * Array lookups are avoided as are if statements testing for how many bits the host OS supports, etc.
+     *
+     * @param string $n
+     * @param string $m
+     * @return string
+     */
+    protected static function reduce($n, $m)
+    {
+        $inline = self::$custom_reduction;
+        return $inline($n);
+    }
+
+    /**
+     * Generate Custom Reduction
+     *
+     * @param BCMath $m
+     * @param string $class
+     * @return callable|void
+     */
+    protected static function generateCustomReduction(BCMath $m, $class)
+    {
+        if (isset($n->reduce)) {
+            self::$custom_reduction = $n->reduce;
+            return $n->reduce;
+        }
+
+        $m_length = strlen($m);
+
+        if ($m_length < 5) {
+            $code = 'return bcmod($x, $n);';
+            eval('$func = function ($n) { ' . $code . '};');
+            self::$custom_reduction = $func;
+            return;
+        }
+
+        $lhs = '1' . str_repeat('0', $m_length + ($m_length >> 1));
+        $u = bcdiv($lhs, $m, 0);
+        $m1 = bcsub($lhs, bcmul($u, $m));
+
+        $cutoff = $m_length + ($m_length >> 1);
+
+        $m = "'$m'";
+        $u = "'$u'";
+        $m1= "'$m1'";
+
+        $code.= '
+            $lsd = substr($n, -' . $cutoff . ');
+            $msd = substr($n, 0, -' . $cutoff . ');
+
+            $temp = bcmul($msd, ' . $m1 . ');
+            $n = bcadd($lsd, $temp);
+
+            $temp = substr($n, 0, ' . (-$m_length + 1) . ');
+            $temp = bcmul($temp, ' . $u . ');
+            $temp = substr($temp, 0, ' . (-($m_length >> 1) - 1) . ');
+            $temp = bcmul($temp, ' . $m . ');
+
+            $result = bcsub($n, $temp);
+
+            if ($result[0] == \'-\') {
+                $temp = \'1' . str_repeat('0', $m_length + 1) . '\';
+                $result = bcadd($result, $temp);
+            }
+
+            while (bccomp($result, ' . $m . ') >= 0) {
+                $result = bcsub($result, ' . $m . ');
+            }
+
+            return $result;';
+
+        eval('$func = function ($n) { ' . $code . '};');
+
+        self::$custom_reduction = $func;
+
+        return $func;
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php
new file mode 100644
index 000000000..10dd994bd
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php
@@ -0,0 +1,1219 @@
+<?php
+
+/**
+ * Base BigInteger Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines;
+
+use ParagonIE\ConstantTime\Hex;
+use phpseclib3\Exception\BadConfigurationException;
+use phpseclib3\Crypt\Random;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Common\Functions\Strings;
+
+/**
+ * Base Engine.
+ *
+ * @package Engine
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Engine implements \Serializable
+{
+    /**
+     * Holds the BigInteger's value
+     *
+     * @var mixed
+     */
+    protected $value;
+
+    /**
+     * Holds the BigInteger's sign
+     *
+     * @var bool
+     */
+    protected $is_negative;
+
+    /**
+     * Precision
+     *
+     * @see static::setPrecision()
+     */
+    protected $precision = -1;
+
+    /**
+     * Precision Bitmask
+     *
+     * @see static::setPrecision()
+     */
+    protected $bitmask = false;
+
+    /**
+     * Recurring Modulo Function
+     *
+     * @var callable
+     */
+    protected $reduce;
+
+    /**
+     * Default constructor
+     *
+     * @param mixed $x integer Base-10 number or base-$base number if $base set.
+     * @param int $base
+     */
+    public function __construct($x, $base)
+    {
+        if (!isset(static::$primes)) {
+            static::$primes = [
+                3,    5,    7,    11,   13,   17,   19,   23,   29,   31,   37,   41,   43,   47,   53,   59,
+                61,   67,   71,   73,   79,   83,   89,   97,   101,  103,  107,  109,  113,  127,  131,  137,
+                139,  149,  151,  157,  163,  167,  173,  179,  181,  191,  193,  197,  199,  211,  223,  227,
+                229,  233,  239,  241,  251,  257,  263,  269,  271,  277,  281,  283,  293,  307,  311,  313,
+                317,  331,  337,  347,  349,  353,  359,  367,  373,  379,  383,  389,  397,  401,  409,  419,
+                421,  431,  433,  439,  443,  449,  457,  461,  463,  467,  479,  487,  491,  499,  503,  509,
+                521,  523,  541,  547,  557,  563,  569,  571,  577,  587,  593,  599,  601,  607,  613,  617,
+                619,  631,  641,  643,  647,  653,  659,  661,  673,  677,  683,  691,  701,  709,  719,  727,
+                733,  739,  743,  751,  757,  761,  769,  773,  787,  797,  809,  811,  821,  823,  827,  829,
+                839,  853,  857,  859,  863,  877,  881,  883,  887,  907,  911,  919,  929,  937,  941,  947,
+                953,  967,  971,  977,  983,  991,  997
+            ];
+            static::$zero = new static(0);
+            static::$one = new static(1);
+            static::$two = new static(2);
+        }
+
+        // '0' counts as empty() but when the base is 256 '0' is equal to ord('0') or 48
+        // '0' is the only value like this per http://php.net/empty
+        if (empty($x) && (abs($base) != 256 || $x !== '0')) {
+            return;
+        }
+
+        switch ($base) {
+            case -256:
+            case  256:
+                if ($base == -256 && (ord($x[0]) & 0x80)) {
+                    $this->value = ~$x;
+                    $this->is_negative = true;
+                } else {
+                    $this->value = $x;
+                    $this->is_negative = false;
+                }
+
+                static::initialize($base);
+
+                if ($this->is_negative) {
+                    $temp = $this->add(new static('-1'));
+                    $this->value = $temp->value;
+                }
+                break;
+            case -16:
+            case  16:
+                if ($base > 0 && $x[0] == '-') {
+                    $this->is_negative = true;
+                    $x = substr($x, 1);
+                }
+
+                $x = preg_replace('#^(?:0x)?([A-Fa-f0-9]*).*#', '$1', $x);
+
+                $is_negative = false;
+                if ($base < 0 && hexdec($x[0]) >= 8) {
+                    $this->is_negative = $is_negative = true;
+                    $x = Hex::encode(~Hex::decode($x));
+                }
+
+                $this->value = $x;
+                static::initialize($base);
+
+                if ($is_negative) {
+                    $temp = $this->add(new static('-1'));
+                    $this->value = $temp->value;
+                }
+                break;
+            case -10:
+            case  10:
+                // (?<!^)(?:-).*: find any -'s that aren't at the beginning and then any characters that follow that
+                // (?<=^|-)0*: find any 0's that are preceded by the start of the string or by a - (ie. octals)
+                // [^-0-9].*: find any non-numeric characters and then any characters that follow that
+                $this->value = preg_replace('#(?<!^)(?:-).*|(?<=^|-)0*|[^-0-9].*#', '', $x);
+                if (!strlen($this->value) || $this->value == '-') {
+                    $this->value = '0';
+                }
+                static::initialize($base);
+                break;
+            case -2:
+            case  2:
+                if ($base > 0 && $x[0] == '-') {
+                    $this->is_negative = true;
+                    $x = substr($x, 1);
+                }
+
+                $x = preg_replace('#^([01]*).*#', '$1', $x);
+
+                $temp = new static(Strings::bits2bin($x), 128 * $base); // ie. either -16 or +16
+                $this->value = $temp->value;
+                if ($temp->is_negative) {
+                    $this->is_negative = true;
+                }
+
+                break;
+            default:
+                // base not supported, so we'll let $this == 0
+        }
+    }
+
+    /**
+     * Sets engine type.
+     *
+     * Throws an exception if the type is invalid
+     *
+     * @param string $engine
+     */
+    public static function setModExpEngine($engine)
+    {
+        $fqengine = '\\phpseclib3\\Math\\BigInteger\\Engines\\' . static::ENGINE_DIR . '\\' . $engine;
+        if (!class_exists($fqengine) || !method_exists($fqengine, 'isValidEngine')) {
+            throw new \InvalidArgumentException("$engine is not a valid engine");
+        }
+        if (!$fqengine::isValidEngine()) {
+            throw new BadConfigurationException("$engine is not setup correctly on this system");
+        }
+        static::$modexpEngine = $fqengine;
+    }
+
+    /**
+     * Converts a BigInteger to a byte string (eg. base-256).
+     *
+     * Negative numbers are saved as positive numbers, unless $twos_compliment is set to true, at which point, they're
+     * saved as two's compliment.
+     * @return string
+     */
+    protected function toBytesHelper()
+    {
+        $comparison = $this->compare(new static());
+        if ($comparison == 0) {
+            return $this->precision > 0 ? str_repeat(chr(0), ($this->precision + 1) >> 3) : '';
+        }
+
+        $temp = $comparison < 0 ? $this->add(new static(1)) : $this;
+        $bytes = $temp->toBytes();
+
+        if (!strlen($bytes)) { // eg. if the number we're trying to convert is -1
+            $bytes = chr(0);
+        }
+
+        if (ord($bytes[0]) & 0x80) {
+            $bytes = chr(0) . $bytes;
+        }
+
+        return $comparison < 0 ? ~$bytes : $bytes;
+    }
+
+    /**
+     * Converts a BigInteger to a hex string (eg. base-16).
+     *
+     * @param bool $twos_compliment
+     * @return string
+     */
+    public function toHex($twos_compliment = false)
+    {
+        return Hex::encode($this->toBytes($twos_compliment));
+    }
+
+    /**
+     * Converts a BigInteger to a bit string (eg. base-2).
+     *
+     * Negative numbers are saved as positive numbers, unless $twos_compliment is set to true, at which point, they're
+     * saved as two's compliment.
+     *
+     * @param bool $twos_compliment
+     * @return string
+     */
+    public function toBits($twos_compliment = false)
+    {
+        $hex = $this->toBytes($twos_compliment);
+        $bits = Strings::bin2bits($hex);
+
+        $result = $this->precision > 0 ? substr($bits, -$this->precision) : ltrim($bits, '0');
+
+        if ($twos_compliment && $this->compare(new static()) > 0 && $this->precision <= 0) {
+            return '0' . $result;
+        }
+
+        return $result;
+    }
+
+    /**
+     * Calculates modular inverses.
+     *
+     * Say you have (30 mod 17 * x mod 17) mod 17 == 1.  x can be found using modular inverses.
+     *
+     * {@internal See {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=21 HAC 14.64} for more information.}
+     *
+     * @param \phpseclib3\Math\BigInteger\Engines\Engine $n
+     * @return \phpseclib3\Math\BigInteger\Engines\Engine|false
+     */
+    protected function modInverseHelper(Engine $n)
+    {
+        // $x mod -$n == $x mod $n.
+        $n = $n->abs();
+
+        if ($this->compare(static::$zero) < 0) {
+            $temp = $this->abs();
+            $temp = $temp->modInverse($n);
+            return $this->normalize($n->subtract($temp));
+        }
+
+        extract($this->extendedGCD($n));
+        /**
+         * @var BigInteger $gcd
+         * @var BigInteger $x
+         */
+
+        if (!$gcd->equals(static::$one)) {
+            return false;
+        }
+
+        $x = $x->compare(static::$zero) < 0 ? $x->add($n) : $x;
+
+        return $this->compare(static::$zero) < 0 ? $this->normalize($n->subtract($x)) : $this->normalize($x);
+    }
+
+    /**
+     * Serialize
+     *
+     * Will be called, automatically, when serialize() is called on a BigInteger object.
+     *
+     * @return string
+     */
+    public function serialize()
+    {
+        $val = ['hex' => $this->toHex(true)];
+        if ($this->precision > 0) {
+            $val['precision'] = $this->precision;
+        }
+        return serialize($val);
+    }
+
+    /**
+     * Serialize
+     *
+     * Will be called, automatically, when unserialize() is called on a BigInteger object.
+     *
+     * @param string $serialized
+     */
+    public function unserialize($serialized)
+    {
+        $r = unserialize($serialized);
+        $temp = new static($r['hex'], -16);
+        $this->value = $temp->value;
+        $this->is_negative = $temp->is_negative;
+        if (isset($r['precision'])) {
+            // recalculate $this->bitmask
+            $this->setPrecision($r['precision']);
+        }
+    }
+
+    /**
+     * Converts a BigInteger to a base-10 number.
+     *
+     * @return string
+     */
+    public function __toString()
+    {
+        return $this->toString();
+    }
+
+    /**
+     *  __debugInfo() magic method
+     *
+     * Will be called, automatically, when print_r() or var_dump() are called
+     */
+    public function __debugInfo()
+    {
+        return [
+            'value' => '0x' . $this->toHex(true),
+            'engine' => basename(static::class)
+        ];
+    }
+
+    /**
+     * Set Precision
+     *
+     * Some bitwise operations give different results depending on the precision being used.  Examples include left
+     * shift, not, and rotates.
+     *
+     * @param int $bits
+     */
+    public function setPrecision($bits)
+    {
+        if ($bits < 1) {
+            $this->precision = -1;
+            $this->bitmask = false;
+
+            return;
+        }
+        $this->precision = $bits;
+        $this->bitmask = static::setBitmask($bits);
+
+        $temp = $this->normalize($this);
+        $this->value = $temp->value;
+    }
+
+    /**
+     * Get Precision
+     *
+     * Returns the precision if it exists, -1 if it doesn't
+     *
+     * @return int
+     */
+    public function getPrecision()
+    {
+        return $this->precision;
+    }
+
+    /**
+     * Set Bitmask
+     * @return Engine
+     * @param int $bits
+     * @see self::setPrecision()
+     */
+    protected static function setBitmask($bits)
+    {
+        return new static(chr((1 << ($bits & 0x7)) - 1) . str_repeat(chr(0xFF), $bits >> 3), 256);
+    }
+
+    /**
+     * Logical Not
+     *
+     * @return Engine|string
+     */
+    public function bitwise_not()
+    {
+        // calculuate "not" without regard to $this->precision
+        // (will always result in a smaller number.  ie. ~1 isn't 1111 1110 - it's 0)
+        $temp = $this->toBytes();
+        if ($temp == '') {
+            return $this->normalize(static::$zero);
+        }
+        $pre_msb = decbin(ord($temp[0]));
+        $temp = ~$temp;
+        $msb = decbin(ord($temp[0]));
+        if (strlen($msb) == 8) {
+            $msb = substr($msb, strpos($msb, '0'));
+        }
+        $temp[0] = chr(bindec($msb));
+
+        // see if we need to add extra leading 1's
+        $current_bits = strlen($pre_msb) + 8 * strlen($temp) - 8;
+        $new_bits = $this->precision - $current_bits;
+        if ($new_bits <= 0) {
+            return $this->normalize(new static($temp, 256));
+        }
+
+        // generate as many leading 1's as we need to.
+        $leading_ones = chr((1 << ($new_bits & 0x7)) - 1) . str_repeat(chr(0xFF), $new_bits >> 3);
+
+        self::base256_lshift($leading_ones, $current_bits);
+
+        $temp = str_pad($temp, strlen($leading_ones), chr(0), STR_PAD_LEFT);
+
+        return $this->normalize(new static($leading_ones | $temp, 256));
+    }
+
+    /**
+     * Logical Left Shift
+     *
+     * Shifts binary strings $shift bits, essentially multiplying by 2**$shift.
+     *
+     * @param string $x
+     * @param int $shift
+     * @return string
+     */
+    protected static function base256_lshift(&$x, $shift)
+    {
+        if ($shift == 0) {
+            return;
+        }
+
+        $num_bytes = $shift >> 3; // eg. floor($shift/8)
+        $shift &= 7; // eg. $shift % 8
+
+        $carry = 0;
+        for ($i = strlen($x) - 1; $i >= 0; --$i) {
+            $temp = ord($x[$i]) << $shift | $carry;
+            $x[$i] = chr($temp);
+            $carry = $temp >> 8;
+        }
+        $carry = ($carry != 0) ? chr($carry) : '';
+        $x = $carry . $x . str_repeat(chr(0), $num_bytes);
+    }
+
+    /**
+     * Logical Left Rotate
+     *
+     * Instead of the top x bits being dropped they're appended to the shifted bit string.
+     *
+     * @param int $shift
+     * @return \phpseclib3\Math\BigInteger\Engines\Engine
+     */
+    public function bitwise_leftRotate($shift)
+    {
+        $bits = $this->toBytes();
+
+        if ($this->precision > 0) {
+            $precision = $this->precision;
+            if (static::FAST_BITWISE) {
+                $mask = $this->bitmask->toBytes();
+            } else {
+                $mask = $this->bitmask->subtract(new static(1));
+                $mask = $mask->toBytes();
+            }
+        } else {
+            $temp = ord($bits[0]);
+            for ($i = 0; $temp >> $i; ++$i) {
+            }
+            $precision = 8 * strlen($bits) - 8 + $i;
+            $mask = chr((1 << ($precision & 0x7)) - 1) . str_repeat(chr(0xFF), $precision >> 3);
+        }
+
+        if ($shift < 0) {
+            $shift+= $precision;
+        }
+        $shift%= $precision;
+
+        if (!$shift) {
+            return clone $this;
+        }
+
+        $left = $this->bitwise_leftShift($shift);
+        $left = $left->bitwise_and(new static($mask, 256));
+        $right = $this->bitwise_rightShift($precision - $shift);
+        $result = static::FAST_BITWISE ? $left->bitwise_or($right) : $left->add($right);
+        return $this->normalize($result);
+    }
+
+    /**
+     * Logical Right Rotate
+     *
+     * Instead of the bottom x bits being dropped they're prepended to the shifted bit string.
+     *
+     * @param int $shift
+     * @return \phpseclib3\Math\BigInteger\Engines\Engine
+     */
+    public function bitwise_rightRotate($shift)
+    {
+        return $this->bitwise_leftRotate(-$shift);
+    }
+
+    /**
+     * Returns the smallest and largest n-bit number
+     *
+     * @param int $bits
+     * @return \phpseclib3\Math\BigInteger\Engines\Engine[]
+     */
+    public static function minMaxBits($bits)
+    {
+        $bytes = $bits >> 3;
+        $min = str_repeat(chr(0), $bytes);
+        $max = str_repeat(chr(0xFF), $bytes);
+        $msb = $bits & 7;
+        if ($msb) {
+            $min = chr(1 << ($msb - 1)) . $min;
+            $max = chr((1 << $msb) - 1) . $max;
+        } else {
+            $min[0] = chr(0x80);
+        }
+        return [
+            'min' => new static($min, 256),
+            'max' => new static($max, 256)
+        ];
+    }
+
+    /**
+     * Return the size of a BigInteger in bits
+     *
+     * @return int
+     */
+    public function getLength()
+    {
+        return strlen($this->toBits());
+    }
+
+    /**
+     * Return the size of a BigInteger in bytes
+     *
+     * @return int
+     */
+    public function getLengthInBytes()
+    {
+        return strlen($this->toBytes());
+    }
+
+    /**
+     * Performs some pre-processing for powMod
+     *
+     * @param Engine $e
+     * @param Engine $n
+     * @return bool|Engine
+     */
+    protected function powModOuter(Engine $e, Engine $n)
+    {
+        $n = $this->bitmask !== false && $this->bitmask->compare($n) < 0 ? $this->bitmask : $n->abs();
+
+        if ($e->compare(new static()) < 0) {
+            $e = $e->abs();
+
+            $temp = $this->modInverse($n);
+            if ($temp === false) {
+                return false;
+            }
+
+            return $this->normalize($temp->powModInner($e, $n));
+        }
+
+        return $this->powModInner($e, $n);
+    }
+
+    /**
+     * Sliding Window k-ary Modular Exponentiation
+     *
+     * Based on {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=27 HAC 14.85} /
+     * {@link http://math.libtomcrypt.com/files/tommath.pdf#page=210 MPM 7.7}.  In a departure from those algorithims,
+     * however, this function performs a modular reduction after every multiplication and squaring operation.
+     * As such, this function has the same preconditions that the reductions being used do.
+     *
+     * @param \phpseclib3\Math\BigInteger\Engines\Engine $x
+     * @param \phpseclib3\Math\BigInteger\Engines\Engine $e
+     * @param \phpseclib3\Math\BigInteger\Engines\Engine $n
+     * @param string $class
+     * @return \phpseclib3\Math\BigInteger\Engines\Engine
+     */
+    protected static function slidingWindow(Engine $x, Engine $e, Engine $n, $class)
+    {
+        static $window_ranges = [7, 25, 81, 241, 673, 1793]; // from BigInteger.java's oddModPow function
+        //static $window_ranges = [0, 7, 36, 140, 450, 1303, 3529]; // from MPM 7.3.1
+
+        $e_bits = $e->toBits();
+        $e_length = strlen($e_bits);
+
+        // calculate the appropriate window size.
+        // $window_size == 3 if $window_ranges is between 25 and 81, for example.
+        for ($i = 0, $window_size = 1; $i < count($window_ranges) && $e_length > $window_ranges[$i]; ++$window_size, ++$i) {
+        }
+
+        $n_value = $n->value;
+
+        if (method_exists(static::class, 'generateCustomReduction')) {
+            static::generateCustomReduction($n, $class);
+        }
+
+        // precompute $this^0 through $this^$window_size
+        $powers = [];
+        $powers[1] = static::prepareReduce($x->value, $n_value, $class);
+        $powers[2] = static::squareReduce($powers[1], $n_value, $class);
+
+        // we do every other number since substr($e_bits, $i, $j+1) (see below) is supposed to end
+        // in a 1.  ie. it's supposed to be odd.
+        $temp = 1 << ($window_size - 1);
+        for ($i = 1; $i < $temp; ++$i) {
+            $i2 = $i << 1;
+            $powers[$i2 + 1] = static::multiplyReduce($powers[$i2 - 1], $powers[2], $n_value, $class);
+        }
+
+        $result = new $class(1);
+        $result = static::prepareReduce($result->value, $n_value, $class);
+
+        for ($i = 0; $i < $e_length;) {
+            if (!$e_bits[$i]) {
+                $result = static::squareReduce($result, $n_value, $class);
+                ++$i;
+            } else {
+                for ($j = $window_size - 1; $j > 0; --$j) {
+                    if (!empty($e_bits[$i + $j])) {
+                        break;
+                    }
+                }
+
+                // eg. the length of substr($e_bits, $i, $j + 1)
+                for ($k = 0; $k <= $j; ++$k) {
+                    $result = static::squareReduce($result, $n_value, $class);
+                }
+
+                $result = static::multiplyReduce($result, $powers[bindec(substr($e_bits, $i, $j + 1))], $n_value, $class);
+
+                $i += $j + 1;
+            }
+        }
+
+        $temp = new $class();
+        $temp->value = static::reduce($result, $n_value, $class);
+
+        return $temp;
+    }
+
+    /**
+     * Generates a random number of a certain size
+     *
+     * Bit length is equal to $size
+     *
+     * @param int $size
+     * @return \phpseclib3\Math\BigInteger\Engines\Engine
+     */
+    public static function random($size)
+    {
+        extract(static::minMaxBits($size));
+        /**
+         * @var BigInteger $min
+         * @var BigInteger $max
+         */
+        return static::randomRange($min, $max);
+    }
+
+    /**
+     * Generates a random prime number of a certain size
+     *
+     * Bit length is equal to $size
+     *
+     * @param int $size
+     * @return \phpseclib3\Math\BigInteger\Engines\Engine
+     */
+    public static function randomPrime($size)
+    {
+        extract(static::minMaxBits($size));
+        /**
+         * @var BigInteger $min
+         * @var BigInteger $max
+         */
+        return static::randomRangePrime($min, $max);
+    }
+
+    /**
+     * Performs some pre-processing for randomRangePrime
+     *
+     * @param Engine $min
+     * @param Engine $max
+     * @return bool|Engine
+     */
+    protected static function randomRangePrimeOuter(Engine $min, Engine $max)
+    {
+        $compare = $max->compare($min);
+
+        if (!$compare) {
+            return $min->isPrime() ? $min : false;
+        } elseif ($compare < 0) {
+            // if $min is bigger then $max, swap $min and $max
+            $temp = $max;
+            $max = $min;
+            $min = $temp;
+        }
+
+        $x = static::randomRange($min, $max);
+
+        return static::randomRangePrimeInner($x, $min, $max);
+    }
+
+    /**
+     * Generate a random number between a range
+     *
+     * Returns a random number between $min and $max where $min and $max
+     * can be defined using one of the two methods:
+     *
+     * BigInteger::randomRange($min, $max)
+     * BigInteger::randomRange($max, $min)
+     *
+     * @param Engine $min
+     * @param Engine $max
+     * @return Engine
+     */
+    protected static function randomRangeHelper(Engine $min, Engine $max)
+    {
+        $compare = $max->compare($min);
+
+        if (!$compare) {
+            return $min;
+        } elseif ($compare < 0) {
+            // if $min is bigger then $max, swap $min and $max
+            $temp = $max;
+            $max = $min;
+            $min = $temp;
+        }
+
+        if (!isset(static::$one)) {
+            static::$one = new static(1);
+        }
+
+        $max = $max->subtract($min->subtract(static::$one));
+
+        $size = strlen(ltrim($max->toBytes(), chr(0)));
+
+        /*
+            doing $random % $max doesn't work because some numbers will be more likely to occur than others.
+            eg. if $max is 140 and $random's max is 255 then that'd mean both $random = 5 and $random = 145
+            would produce 5 whereas the only value of random that could produce 139 would be 139. ie.
+            not all numbers would be equally likely. some would be more likely than others.
+
+            creating a whole new random number until you find one that is within the range doesn't work
+            because, for sufficiently small ranges, the likelihood that you'd get a number within that range
+            would be pretty small. eg. with $random's max being 255 and if your $max being 1 the probability
+            would be pretty high that $random would be greater than $max.
+
+            phpseclib works around this using the technique described here:
+
+            http://crypto.stackexchange.com/questions/5708/creating-a-small-number-from-a-cryptographically-secure-random-string
+        */
+        $random_max = new static(chr(1) . str_repeat("\0", $size), 256);
+        $random = new static(Random::string($size), 256);
+
+        list($max_multiple) = $random_max->divide($max);
+        $max_multiple = $max_multiple->multiply($max);
+
+        while ($random->compare($max_multiple) >= 0) {
+            $random = $random->subtract($max_multiple);
+            $random_max = $random_max->subtract($max_multiple);
+            $random = $random->bitwise_leftShift(8);
+            $random = $random->add(new static(Random::string(1), 256));
+            $random_max = $random_max->bitwise_leftShift(8);
+            list($max_multiple) = $random_max->divide($max);
+            $max_multiple = $max_multiple->multiply($max);
+        }
+        list(, $random) = $random->divide($max);
+
+        return $random->add($min);
+    }
+
+    /**
+     * Performs some post-processing for randomRangePrime
+     *
+     * @param Engine $x
+     * @param Engine $min
+     * @param Engine $max
+     * @return bool|Engine
+     */
+    protected static function randomRangePrimeInner(Engine $x, Engine $min, Engine $max)
+    {
+        if (!isset(static::$two)) {
+            static::$two = new static('2');
+        }
+
+        $x->make_odd();
+        if ($x->compare($max) > 0) {
+            // if $x > $max then $max is even and if $min == $max then no prime number exists between the specified range
+            if ($min->equals($max)) {
+                return false;
+            }
+            $x = clone $min;
+            $x->make_odd();
+        }
+
+        $initial_x = clone $x;
+
+        while (true) {
+            if ($x->isPrime()) {
+                return $x;
+            }
+
+            $x = $x->add(static::$two);
+
+            if ($x->compare($max) > 0) {
+                $x = clone $min;
+                if ($x->equals(static::$two)) {
+                    return $x;
+                }
+                $x->make_odd();
+            }
+
+            if ($x->equals($initial_x)) {
+                return false;
+            }
+        }
+    }
+
+    /**
+     * Sets the $t parameter for primality testing
+     *
+     * @return int
+     */
+    protected function setupIsPrime()
+    {
+        $length = $this->getLengthInBytes();
+
+        // see HAC 4.49 "Note (controlling the error probability)"
+        // @codingStandardsIgnoreStart
+             if ($length >= 163) { $t =  2; } // floor(1300 / 8)
+        else if ($length >= 106) { $t =  3; } // floor( 850 / 8)
+        else if ($length >= 81 ) { $t =  4; } // floor( 650 / 8)
+        else if ($length >= 68 ) { $t =  5; } // floor( 550 / 8)
+        else if ($length >= 56 ) { $t =  6; } // floor( 450 / 8)
+        else if ($length >= 50 ) { $t =  7; } // floor( 400 / 8)
+        else if ($length >= 43 ) { $t =  8; } // floor( 350 / 8)
+        else if ($length >= 37 ) { $t =  9; } // floor( 300 / 8)
+        else if ($length >= 31 ) { $t = 12; } // floor( 250 / 8)
+        else if ($length >= 25 ) { $t = 15; } // floor( 200 / 8)
+        else if ($length >= 18 ) { $t = 18; } // floor( 150 / 8)
+        else                     { $t = 27; }
+        // @codingStandardsIgnoreEnd
+
+        return $t;
+    }
+
+    /**
+     * Tests Primality
+     *
+     * Uses the {@link http://en.wikipedia.org/wiki/Miller%E2%80%93Rabin_primality_test Miller-Rabin primality test}.
+     * See {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap4.pdf#page=8 HAC 4.24} for more info.
+     *
+     * @param int $t
+     * @return bool
+     */
+    protected function testPrimality($t)
+    {
+        if (!$this->testSmallPrimes()) {
+            return false;
+        }
+
+        $n   = clone $this;
+        $n_1 = $n->subtract(static::$one);
+        $n_2 = $n->subtract(static::$two);
+
+        $r = clone $n_1;
+        $s = static::scan1divide($r);
+
+        for ($i = 0; $i < $t; ++$i) {
+            $a = static::randomRange(static::$two, $n_2);
+            $y = $a->modPow($r, $n);
+
+            if (!$y->equals(static::$one) && !$y->equals($n_1)) {
+                for ($j = 1; $j < $s && !$y->equals($n_1); ++$j) {
+                    $y = $y->modPow(static::$two, $n);
+                    if ($y->equals(static::$one)) {
+                        return false;
+                    }
+                }
+
+                if (!$y->equals($n_1)) {
+                    return false;
+                }
+            }
+        }
+
+        return true;
+    }
+
+    /**
+     * Checks a numer to see if it's prime
+     *
+     * Assuming the $t parameter is not set, this function has an error rate of 2**-80.  The main motivation for the
+     * $t parameter is distributability.  BigInteger::randomPrime() can be distributed across multiple pageloads
+     * on a website instead of just one.
+     *
+     * @param int|bool $t
+     * @return bool
+     */
+    public function isPrime($t = false)
+    {
+        if (!$t) {
+            $t = $this->setupIsPrime();
+        }
+        return $this->testPrimality($t);
+    }
+
+    /**
+     * Performs a few preliminary checks on root
+     *
+     * @param int $n
+     * @return \phpseclib3\Math\BigInteger\Engines\Engine
+     */
+    protected function rootHelper($n)
+    {
+        if ($n < 1) {
+            return clone static::$zero;
+        } // we want positive exponents
+        if ($this->compare(static::$one) < 0) {
+            return clone static::$zero;
+        } // we want positive numbers
+        if ($this->compare(static::$two) < 0) {
+            return clone static::$one;
+        } // n-th root of 1 or 2 is 1
+
+        return $this->rootInner($n);
+    }
+
+    /**
+     * Calculates the nth root of a biginteger.
+     *
+     * Returns the nth root of a positive biginteger, where n defaults to 2
+     *
+     * {@internal This function is based off of {@link http://mathforum.org/library/drmath/view/52605.html this page} and {@link http://stackoverflow.com/questions/11242920/calculating-nth-root-with-bcmath-in-php this stackoverflow question}.}
+     *
+     * @param int $n
+     * @return \phpseclib3\Math\BigInteger\Engines\Engine
+     */
+    protected function rootInner($n)
+    {
+        $n = new static($n);
+
+        // g is our guess number
+        $g = static::$two;
+        // while (g^n < num) g=g*2
+        while ($g->pow($n)->compare($this) < 0) {
+            $g = $g->multiply(static::$two);
+        }
+        // if (g^n==num) num is a power of 2, we're lucky, end of job
+        // == 0 bccomp(bcpow($g, $n), $n->value)==0
+        if ($g->pow($n)->equals($this) > 0) {
+            $root = $g;
+            return $this->normalize($root);
+        }
+
+        // if we're here num wasn't a power of 2 :(
+        $og = $g; // og means original guess and here is our upper bound
+        $g = $g->divide(static::$two)[0]; // g is set to be our lower bound
+        $step = $og->subtract($g)->divide(static::$two)[0]; // step is the half of upper bound - lower bound
+        $g = $g->add($step); // we start at lower bound + step , basically in the middle of our interval
+
+        // while step>1
+
+        while ($step->compare(static::$one) == 1) {
+            $guess = $g->pow($n);
+            $step = $step->divide(static::$two)[0];
+            $comp = $guess->compare($this); // compare our guess with real number
+            switch ($comp) {
+                case -1: // if guess is lower we add the new step
+                    $g = $g->add($step);
+                    break;
+                case 1: // if guess is higher we sub the new step
+                    $g = $g->subtract($step);
+                    break;
+                case 0: // if guess is exactly the num we're done, we return the value
+                    $root = $g;
+                    break 2;
+            }
+        }
+
+        if ($comp == 1) {
+            $g = $g->subtract($step);
+        }
+
+        // whatever happened, g is the closest guess we can make so return it
+        $root = $g;
+
+        return $this->normalize($root);
+    }
+
+    /**
+     * Calculates the nth root of a biginteger.
+     *
+     * @param int $n
+     * @return Engine
+     */
+    public function root($n = 2)
+    {
+        return $this->rootHelper($n);
+    }
+
+    /**
+     * Return the minimum BigInteger between an arbitrary number of BigIntegers.
+     *
+     * @param array $nums
+     * @return Engine
+     */
+    protected static function minHelper(array $nums)
+    {
+        if (count($nums) == 1) {
+            return $nums[0];
+        }
+        $min = $nums[0];
+        for ($i = 1; $i < count($nums); $i++) {
+            $min = $min->compare($nums[$i]) > 0 ? $nums[$i] : $min;
+        }
+        return $min;
+    }
+
+    /**
+     * Return the minimum BigInteger between an arbitrary number of BigIntegers.
+     *
+     * @param array $nums
+     * @return Engine
+     */
+    protected static function maxHelper(array $nums)
+    {
+        if (count($nums) == 1) {
+            return $nums[0];
+        }
+        $max = $nums[0];
+        for ($i = 1; $i < count($nums); $i++) {
+            $max = $max->compare($nums[$i]) < 0 ? $nums[$i] : $max;
+        }
+        return $max;
+    }
+
+    /**
+     * Create Recurring Modulo Function
+     *
+     * Sometimes it may be desirable to do repeated modulos with the same number outside of
+     * modular exponentiation
+     *
+     * @return callable
+     */
+    public function createRecurringModuloFunction()
+    {
+        $class = static::class;
+
+        $fqengine = !method_exists(static::$modexpEngine, 'reduce') ?
+            '\\phpseclib3\\Math\\BigInteger\\Engines\\' . static::ENGINE_DIR . '\\DefaultEngine' :
+            static::$modexpEngine;
+        if (method_exists($fqengine, 'generateCustomReduction')) {
+            $func = $fqengine::generateCustomReduction($this, static::class);
+            $this->reduce = eval('return function(' . static::class . ' $x) use ($func, $class) {
+                $r = new $class();
+                $r->value = $func($x->value);
+                return $r;
+            };');
+            return clone $this->reduce;
+        }
+        $n = $this->value;
+        $this->reduce = eval('return function(' . static::class . ' $x) use ($n, $fqengine, $class) {
+            $r = new $class();
+            $r->value = $fqengine::reduce($x->value, $n, $class);
+            return $r;
+        };');
+        return clone $this->reduce;
+    }
+
+    /**
+     * Calculates the greatest common divisor and Bezout's identity.
+     *
+     * @param Engine $n
+     * @param Engine $stop (optional)
+     * @return Engine
+     */
+    protected function extendedGCDHelper(Engine $n, Engine $stop = null)
+    {
+        $u = clone $this;
+        $v = clone $n;
+
+        $one = new static(1);
+        $zero = new static();
+
+        $a = clone $one;
+        $b = clone $zero;
+        $c = clone $zero;
+        $d = clone $one;
+
+        while (!$v->equals($zero)) {
+            list($q) = $u->divide($v);
+
+            $temp = $u;
+            $u = $v;
+            $v = $temp->subtract($v->multiply($q));
+
+            $temp = $a;
+            $a = $c;
+            $c = $temp->subtract($a->multiply($q));
+
+            $temp = $b;
+            $b = $d;
+            $d = $temp->subtract($b->multiply($q));
+        }
+
+        return [
+            'gcd'=> $u,
+            'x' => $a,
+            'y' => $b
+        ];
+    }
+
+    /**
+     * Bitwise Split
+     *
+     * Splits BigInteger's into chunks of $split bits
+     *
+     * @param int $split
+     * @return \phpseclib3\Math\BigInteger\Engines\Engine[]
+     */
+    public function bitwise_split($split)
+    {
+        if ($split < 1) {
+            throw new \RuntimeException('Offset must be greater than 1');
+        }
+
+        $mask = static::$one->bitwise_leftShift($split)->subtract(static::$one);
+
+        $num = clone $this;
+
+        $vals = [];
+        while (!$num->equals(static::$zero)) {
+            $vals[] = $num->bitwise_and($mask);
+            $num = $num->bitwise_rightShift($split);
+        }
+
+        return array_reverse($vals);
+    }
+
+    /**
+     * Logical And
+     *
+     * @param Engine $x
+     * @return Engine
+     */
+    protected function bitwiseAndHelper(Engine $x)
+    {
+        $left = $this->toBytes(true);
+        $right = $x->toBytes(true);
+
+        $length = max(strlen($left), strlen($right));
+
+        $left = str_pad($left, $length, chr(0), STR_PAD_LEFT);
+        $right = str_pad($right, $length, chr(0), STR_PAD_LEFT);
+
+        return $this->normalize(new static($left & $right, -256));
+    }
+
+    /**
+     * Logical Or
+     *
+     * @param Engine $x
+     * @return Engine
+     */
+    protected function bitwiseOrHelper(Engine $x)
+    {
+        $left = $this->toBytes(true);
+        $right = $x->toBytes(true);
+
+        $length = max(strlen($left), strlen($right));
+
+        $left = str_pad($left, $length, chr(0), STR_PAD_LEFT);
+        $right = str_pad($right, $length, chr(0), STR_PAD_LEFT);
+
+        return $this->normalize(new static($left | $right, -256));
+    }
+
+    /**
+     * Logical Exclusive Or
+     *
+     * @param Engine $x
+     * @return Engine
+     */
+    protected function bitwiseXorHelper(Engine $x)
+    {
+        $left = $this->toBytes(true);
+        $right = $x->toBytes(true);
+
+        $length = max(strlen($left), strlen($right));
+
+
+        $left = str_pad($left, $length, chr(0), STR_PAD_LEFT);
+        $right = str_pad($right, $length, chr(0), STR_PAD_LEFT);
+        return $this->normalize(new static($left ^ $right, -256));
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/GMP.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/GMP.php
new file mode 100644
index 000000000..2cbc9cbed
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/GMP.php
@@ -0,0 +1,751 @@
+<?php
+
+/**
+ * GMP BigInteger Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines;
+
+use ParagonIE\ConstantTime\Hex;
+use phpseclib3\Exception\BadConfigurationException;
+
+/**
+ * GMP Engine.
+ *
+ * @package GMP
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class GMP extends Engine
+{
+    /**
+     * Can Bitwise operations be done fast?
+     *
+     * @see parent::bitwise_leftRotate()
+     * @see parent::bitwise_rightRotate()
+     * @access protected
+     */
+    const FAST_BITWISE = true;
+
+    /**
+     * Engine Directory
+     *
+     * @see parent::setModExpEngine
+     * @access protected
+     */
+    const ENGINE_DIR = 'GMP';
+
+    /**
+     * Modular Exponentiation Engine
+     *
+     * @var string
+     */
+    protected static $modexpEngine;
+
+    /**
+     * Engine Validity Flag
+     *
+     * @var bool
+     */
+    protected static $isValidEngine;
+
+    /**
+     * BigInteger(0)
+     *
+     * @var \phpseclib3\Math\BigInteger\Engines\GMP
+     */
+    protected static $zero;
+
+    /**
+     * BigInteger(1)
+     *
+     * @var \phpseclib3\Math\BigInteger\Engines\GMP
+     */
+    protected static $one;
+
+    /**
+     * BigInteger(2)
+     *
+     * @var \phpseclib3\Math\BigInteger\Engines\GMP
+     */
+    protected static $two;
+
+    /**
+     * Primes > 2 and < 1000
+     *
+     * Unused for GMP Engine
+     *
+     * @var mixed
+     */
+    protected static $primes;
+
+    /**
+     * Test for engine validity
+     *
+     * @see parent::__construct()
+     * @return bool
+     */
+    public static function isValidEngine()
+    {
+        return extension_loaded('gmp');
+    }
+
+    /**
+     * Default constructor
+     *
+     * @param mixed $x integer Base-10 number or base-$base number if $base set.
+     * @param int $base
+     * @see parent::__construct()
+     * @return \phpseclib3\Math\BigInteger\Engines\GMP
+     */
+    public function __construct($x = 0, $base = 10)
+    {
+        if (!isset(self::$isValidEngine)) {
+            self::$isValidEngine = self::isValidEngine();
+        }
+        if (!self::$isValidEngine) {
+            throw new BadConfigurationException('GMP is not setup correctly on this system');
+        }
+
+        if ($x instanceof \GMP) {
+            $this->value = $x;
+            return;
+        }
+
+        $this->value = gmp_init(0);
+
+        parent::__construct($x, $base);
+    }
+
+    /**
+     * Initialize a GMP BigInteger Engine instance
+     *
+     * @param int $base
+     * @see parent::__construct()
+     */
+    protected function initialize($base)
+    {
+        switch (abs($base)) {
+            case 256:
+                $this->value = gmp_import($this->value);
+                if ($this->is_negative) {
+                    $this->value = -$this->value;
+                }
+                break;
+            case 16:
+                $temp = $this->is_negative ? '-0x' . $this->value : '0x' . $this->value;
+                $this->value = gmp_init($temp);
+                break;
+            case 10:
+                $this->value = gmp_init(isset($this->value) ? $this->value : '0');
+        }
+    }
+
+    /**
+     * Converts a BigInteger to a base-10 number.
+     *
+     * @return string
+     */
+    public function toString()
+    {
+        return (string) $this->value;
+    }
+
+    /**
+     * Converts a BigInteger to a bit string (eg. base-2).
+     *
+     * Negative numbers are saved as positive numbers, unless $twos_compliment is set to true, at which point, they're
+     * saved as two's compliment.
+     *
+     * @param bool $twos_compliment
+     * @return string
+     */
+    public function toBits($twos_compliment = false)
+    {
+        $hex = $this->toHex($twos_compliment);
+
+        $bits = gmp_strval(gmp_init($hex, 16), 2);
+
+        if ($this->precision > 0) {
+            $bits = substr($bits, -$this->precision);
+        }
+
+        if ($twos_compliment && $this->compare(new static()) > 0 && $this->precision <= 0) {
+            return '0' . $bits;
+        }
+
+        return $bits;
+    }
+
+    /**
+     * Converts a BigInteger to a byte string (eg. base-256).
+     *
+     * @param bool $twos_compliment
+     * @return string
+     */
+    function toBytes($twos_compliment = false)
+    {
+        if ($twos_compliment) {
+            return $this->toBytesHelper();
+        }
+
+        if (gmp_cmp($this->value, gmp_init(0)) == 0) {
+            return $this->precision > 0 ? str_repeat(chr(0), ($this->precision + 1) >> 3) : '';
+        }
+
+        $temp = gmp_export($this->value);
+
+        return $this->precision > 0 ?
+            substr(str_pad($temp, $this->precision >> 3, chr(0), STR_PAD_LEFT), -($this->precision >> 3)) :
+            ltrim($temp, chr(0));
+    }
+
+    /**
+     * Adds two BigIntegers.
+     *
+     * @param GMP $y
+     * @return GMP
+     */
+    public function add(GMP $y)
+    {
+        $temp = new self();
+        $temp->value = $this->value + $y->value;
+
+        return $this->normalize($temp);
+    }
+
+    /**
+     * Subtracts two BigIntegers.
+     *
+     * @param GMP $y
+     * @return GMP
+     */
+    public function subtract(GMP $y)
+    {
+        $temp = new self();
+        $temp->value = $this->value - $y->value;
+
+        return $this->normalize($temp);
+    }
+
+    /**
+     * Multiplies two BigIntegers.
+     *
+     * @param GMP $x
+     * @return GMP
+     */
+    public function multiply(GMP $x)
+    {
+        $temp = new self();
+        $temp->value = $this->value * $x->value;
+
+        return $this->normalize($temp);
+    }
+
+    /**
+     * Divides two BigIntegers.
+     *
+     * Returns an array whose first element contains the quotient and whose second element contains the
+     * "common residue".  If the remainder would be positive, the "common residue" and the remainder are the
+     * same.  If the remainder would be negative, the "common residue" is equal to the sum of the remainder
+     * and the divisor (basically, the "common residue" is the first positive modulo).
+     *
+     * @param GMP $y
+     * @return GMP
+     */
+    public function divide(GMP $y)
+    {
+        $quotient = new self();
+        $remainder = new self();
+
+        list($quotient->value, $remainder->value) = gmp_div_qr($this->value, $y->value);
+
+        if (gmp_sign($remainder->value) < 0) {
+            $remainder->value = $remainder->value + gmp_abs($y->value);
+        }
+
+        return [$this->normalize($quotient), $this->normalize($remainder)];
+    }
+
+    /**
+     * Compares two numbers.
+     *
+     * Although one might think !$x->compare($y) means $x != $y, it, in fact, means the opposite.  The reason for this is
+     * demonstrated thusly:
+     *
+     * $x  > $y: $x->compare($y)  > 0
+     * $x  < $y: $x->compare($y)  < 0
+     * $x == $y: $x->compare($y) == 0
+     *
+     * Note how the same comparison operator is used.  If you want to test for equality, use $x->equals($y).
+     *
+     * {@internal Could return $this->subtract($x), but that's not as fast as what we do do.}
+     *
+     * @param GMP $y
+     * @return int in case < 0 if $this is less than $y; > 0 if $this is greater than $y, and 0 if they are equal.
+     * @access public
+     * @see self::equals()
+     */
+    public function compare(GMP $y)
+    {
+        $r = gmp_cmp($this->value, $y->value);
+        if ($r < -1) {
+            $r = -1;
+        }
+        if ($r > 1) {
+            $r = 1;
+        }
+        return $r;
+    }
+
+    /**
+     * Tests the equality of two numbers.
+     *
+     * If you need to see if one number is greater than or less than another number, use BigInteger::compare()
+     *
+     * @param GMP $x
+     * @return bool
+     */
+    public function equals(GMP $x)
+    {
+        return $this->value == $x->value;
+    }
+
+    /**
+     * Calculates modular inverses.
+     *
+     * Say you have (30 mod 17 * x mod 17) mod 17 == 1.  x can be found using modular inverses.
+     *
+     * @param GMP $n
+     * @return false|GMP
+     */
+    public function modInverse(GMP $n)
+    {
+        $temp = new self();
+        $temp->value = gmp_invert($this->value, $n->value);
+
+        return $temp->value === false ? false : $this->normalize($temp);
+    }
+
+    /**
+     * Calculates the greatest common divisor and Bezout's identity.
+     *
+     * Say you have 693 and 609.  The GCD is 21.  Bezout's identity states that there exist integers x and y such that
+     * 693*x + 609*y == 21.  In point of fact, there are actually an infinite number of x and y combinations and which
+     * combination is returned is dependent upon which mode is in use.  See
+     * {@link http://en.wikipedia.org/wiki/B%C3%A9zout%27s_identity Bezout's identity - Wikipedia} for more information.
+     *
+     * @param \phpseclib3\Math\BigInteger\Engines\GMP $n
+     * @return \phpseclib3\Math\BigInteger\Engines\GMP[]
+     */
+    public function extendedGCD(GMP $n)
+    {
+        extract(gmp_gcdext($this->value, $n->value));
+
+        return [
+            'gcd' => $this->normalize(new self($g)),
+            'x'   => $this->normalize(new self($s)),
+            'y'   => $this->normalize(new self($t))
+        ];
+    }
+
+    /**
+     * Calculates the greatest common divisor
+     *
+     * Say you have 693 and 609.  The GCD is 21.
+     *
+     * @param GMP $n
+     * @return GMP
+     */
+    public function gcd(GMP $n)
+    {
+        $r = gmp_gcd($this->value, $n->value);
+        return $this->normalize(new self($r));
+    }
+
+    /**
+     * Absolute value.
+     *
+     * @return \phpseclib3\Math\BigInteger\Engines\GMP
+     * @access public
+     */
+    public function abs()
+    {
+        $temp = new self();
+        $temp->value = gmp_abs($this->value);
+
+        return $temp;
+    }
+
+    /**
+     * Logical And
+     *
+     * @param GMP $x
+     * @return GMP
+     */
+    public function bitwise_and(GMP $x)
+    {
+        $temp = new self();
+        $temp->value = $this->value & $x->value;
+
+        return $this->normalize($temp);
+    }
+
+    /**
+     * Logical Or
+     *
+     * @param GMP $x
+     * @return GMP
+     */
+    public function bitwise_or(GMP $x)
+    {
+        $temp = new self();
+        $temp->value = $this->value | $x->value;
+
+        return $this->normalize($temp);
+    }
+
+    /**
+     * Logical Exclusive Or
+     *
+     * @param GMP $x
+     * @return GMP
+     */
+    public function bitwise_xor(GMP $x)
+    {
+        $temp = new self();
+        $temp->value = $this->value ^ $x->value;
+
+        return $this->normalize($temp);
+    }
+
+    /**
+     * Logical Right Shift
+     *
+     * Shifts BigInteger's by $shift bits, effectively dividing by 2**$shift.
+     *
+     * @param int $shift
+     * @return \phpseclib3\Math\BigInteger\Engines\GMP
+     */
+    public function bitwise_rightShift($shift)
+    {
+        // 0xFFFFFFFF >> 2 == -1 (on 32-bit systems)
+        // gmp_init('0xFFFFFFFF') >> 2 == gmp_init('0x3FFFFFFF')
+
+        $temp = new self();
+        $temp->value = $this->value >> $shift;
+
+        return $this->normalize($temp);
+    }
+
+    /**
+     * Logical Left Shift
+     *
+     * Shifts BigInteger's by $shift bits, effectively multiplying by 2**$shift.
+     *
+     * @param int $shift
+     * @return \phpseclib3\Math\BigInteger\Engines\GMP
+     */
+    public function bitwise_leftShift($shift)
+    {
+        $temp = new self();
+        $temp->value = $this->value << $shift;
+
+        return $this->normalize($temp);
+    }
+
+    /**
+     * Performs modular exponentiation.
+     *
+     * @param GMP $e
+     * @param GMP $n
+     * @return GMP
+     */
+    public function modPow(GMP $e, GMP $n)
+    {
+        return $this->powModOuter($e, $n);
+    }
+
+    /**
+     * Performs modular exponentiation.
+     *
+     * Alias for modPow().
+     *
+     * @param GMP $e
+     * @param GMP $n
+     * @return GMP
+     */
+    public function powMod(GMP $e, GMP $n)
+    {
+        return $this->powModOuter($e, $n);
+    }
+
+    /**
+     * Performs modular exponentiation.
+     *
+     * @param GMP $e
+     * @param GMP $n
+     * @return GMP
+     */
+    protected function powModInner(GMP $e, GMP $n)
+    {
+        $class = self::$modexpEngine;
+        return $class::powModHelper($this, $e, $n);
+    }
+
+    /**
+     * Normalize
+     *
+     * Removes leading zeros and truncates (if necessary) to maintain the appropriate precision
+     *
+     * @param GMP $result
+     * @return GMP
+     */
+    protected function normalize(GMP $result)
+    {
+        unset($result->reduce);
+
+        $result->precision = $this->precision;
+        $result->bitmask = $this->bitmask;
+
+        if ($result->bitmask !== false) {
+            $flip = $result->value < 0;
+            if ($flip) {
+                $result->value = -$result->value;
+            }
+            $result->value = $result->value & $result->bitmask->value;
+            if ($flip) {
+                $result->value = -$result->value;
+            }
+        }
+
+        return $result;
+    }
+
+    /**
+     * Performs some post-processing for randomRangePrime
+     *
+     * @param Engine $x
+     * @param Engine $min
+     * @param Engine $max
+     * @return GMP
+     */
+    protected static function randomRangePrimeInner(Engine $x, Engine $min, Engine $max)
+    {
+        $p = gmp_nextprime($x->value);
+
+        if ($p <= $max->value) {
+            return new self($p);
+        }
+
+        if ($min->value != $x->value) {
+            $x = new self($x->value - 1);
+        }
+
+        return self::randomRangePrime($min, $x);
+    }
+
+    /**
+     * Generate a random prime number between a range
+     *
+     * If there's not a prime within the given range, false will be returned.
+     *
+     * @param GMP $min
+     * @param GMP $max
+     * @return false|GMP
+     */
+    public static function randomRangePrime(GMP $min, GMP $max)
+    {
+        return self::randomRangePrimeOuter($min, $max);
+    }
+
+    /**
+     * Generate a random number between a range
+     *
+     * Returns a random number between $min and $max where $min and $max
+     * can be defined using one of the two methods:
+     *
+     * BigInteger::randomRange($min, $max)
+     * BigInteger::randomRange($max, $min)
+     *
+     * @param GMP $min
+     * @param GMP $max
+     * @return GMP
+     */
+    public static function randomRange(GMP $min, GMP $max)
+    {
+        return self::randomRangeHelper($min, $max);
+    }
+
+    /**
+     * Make the current number odd
+     *
+     * If the current number is odd it'll be unchanged.  If it's even, one will be added to it.
+     *
+     * @see self::randomPrime()
+     */
+    protected function make_odd()
+    {
+        gmp_setbit($this->value, 0);
+    }
+
+    /**
+     * Tests Primality
+     *
+     * @param int $t
+     * @return bool
+     */
+    protected function testPrimality($t)
+    {
+        return gmp_prob_prime($this->value, $t) != 0;
+    }
+
+    /**
+     * Calculates the nth root of a biginteger.
+     *
+     * Returns the nth root of a positive biginteger, where n defaults to 2
+     *
+     * @param int $n
+     * @return GMP
+     */
+    protected function rootInner($n)
+    {
+        $root = new self();
+        $root->value = gmp_root($this->value, $n);
+        return $this->normalize($root);
+    }
+
+    /**
+     * Performs exponentiation.
+     *
+     * @param GMP $n
+     * @return GMP
+     */
+    public function pow(GMP $n)
+    {
+        $temp = new self();
+        $temp->value = $this->value ** $n->value;
+
+        return $this->normalize($temp);
+    }
+
+    /**
+     * Return the minimum BigInteger between an arbitrary number of BigIntegers.
+     *
+     * @param GMP ...$nums
+     * @return GMP
+     */
+    public static function min(GMP ...$nums)
+    {
+        return self::minHelper($nums);
+    }
+
+    /**
+     * Return the maximum BigInteger between an arbitrary number of BigIntegers.
+     *
+     * @param GMP ...$nums
+     * @return GMP
+     */
+    public static function max(GMP ...$nums)
+    {
+        return self::maxHelper($nums);
+    }
+
+    /**
+     * Tests BigInteger to see if it is between two integers, inclusive
+     *
+     * @param GMP $min
+     * @param GMP $max
+     * @return bool
+     */
+    public function between(GMP $min, GMP $max)
+    {
+        return $this->compare($min) >= 0 && $this->compare($max) <= 0;
+    }
+
+    /**
+     * Create Recurring Modulo Function
+     *
+     * Sometimes it may be desirable to do repeated modulos with the same number outside of
+     * modular exponentiation
+     *
+     * @return callable
+     */
+    public function createRecurringModuloFunction()
+    {
+        $temp = $this->value;
+        $this->reduce = function(GMP $x) use ($temp) {
+            return new GMP($x->value % $temp);
+        };
+        return $this->reduce;
+    }
+
+    /**
+     * Scan for 1 and right shift by that amount
+     *
+     * ie. $s = gmp_scan1($n, 0) and $r = gmp_div_q($n, gmp_pow(gmp_init('2'), $s));
+     *
+     * @param GMP $r
+     * @return int
+     */
+    public static function scan1divide(GMP $r)
+    {
+        $s = gmp_scan1($r->value, 0);
+        $r->value >>= $s;
+        return $s;
+    }
+
+    /**
+     * Is Odd?
+     *
+     * @return boolean
+     */
+    public function isOdd()
+    {
+        return gmp_testbit($this->value, 0);
+    }
+
+    /**
+     * Tests if a bit is set
+     *
+     * @return boolean
+     */
+    public function testBit($x)
+    {
+        return gmp_testbit($this->value, $x);
+    }
+
+    /**
+     * Is Negative?
+     *
+     * @return boolean
+     */
+    public function isNegative()
+    {
+        return gmp_sign($this->value) == -1;
+    }
+
+    /**
+     * Negate
+     *
+     * Given $k, returns -$k
+     *
+     * @return GMP
+     */
+    public function negate()
+    {
+        $temp = clone $this;
+        $temp->value = -$this->value;
+
+        return $temp;
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/GMP/DefaultEngine.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/GMP/DefaultEngine.php
new file mode 100644
index 000000000..9889271ec
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/GMP/DefaultEngine.php
@@ -0,0 +1,44 @@
+<?php
+
+/**
+ * GMP Modular Exponentiation Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines\GMP;
+
+use phpseclib3\Math\BigInteger\Engines\GMP;
+
+/**
+ * GMP Modular Exponentiation Engine
+ *
+ * @package GMP
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class DefaultEngine extends GMP
+{
+    /**
+     * Performs modular exponentiation.
+     *
+     * @param GMP $x
+     * @param GMP $e
+     * @param GMP $n
+     * @return GMP
+     */
+    protected static function powModHelper(GMP $x, GMP $e, GMP $n)
+    {
+        $temp = new GMP();
+        $temp->value = gmp_powm($x->value, $e->value, $n->value);
+
+        return $x->normalize($temp);
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/OpenSSL.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/OpenSSL.php
new file mode 100644
index 000000000..ce4d18a3f
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/OpenSSL.php
@@ -0,0 +1,75 @@
+<?php
+
+/**
+ * OpenSSL Modular Exponentiation Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines;
+
+use phpseclib3\Crypt\RSA;
+use phpseclib3\Crypt\RSA\Formats\Keys\PKCS8;
+use phpseclib3\Math\BigInteger;
+
+/**
+ * OpenSSL Modular Exponentiation Engine
+ *
+ * @package Engines
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class OpenSSL
+{
+    /**
+     * Test for engine validity
+     *
+     * @return bool
+     */
+    public static function isValidEngine()
+    {
+        return extension_loaded('openssl') && static::class != __CLASS__;
+    }
+
+    /**
+     * Performs modular exponentiation.
+     *
+     * @param Engine $x
+     * @param Engine $e
+     * @param Engine $n
+     * @return Engine
+     */
+    public static function powModHelper(Engine $x, Engine $e, Engine $n)
+    {
+        if ($n->getLengthInBytes() < 31 || $n->getLengthInBytes() > 16384) {
+            throw new \OutOfRangeException('Only modulo between 31 and 16384 bits are accepted');
+        }
+
+        $key = PKCS8::savePublicKey(
+            new BigInteger($n),
+            new BigInteger($e)
+        );
+        $rsa = RSA::load($key);
+        //$rsa->setPublicKeyFormat('PKCS1');
+
+        $plaintext = str_pad($x->toBytes(), strlen($n->toBytes(true)) - 1, "\0", STR_PAD_LEFT);
+
+        // this is easily prone to failure. if the modulo is a multiple of 2 or 3 or whatever it
+        // won't work and you'll get a "failure: error:0906D06C:PEM routines:PEM_read_bio:no start line"
+        // error. i suppose, for even numbers, we could do what PHP\Montgomery.php does, but then what
+        // about odd numbers divisible by 3, by 5, etc?
+        if (!openssl_public_encrypt($plaintext, $result, "$rsa", OPENSSL_NO_PADDING)) {
+            throw new \UnexpectedValueException(openssl_error_string());
+        }
+
+        $class = get_class($x);
+        return new $class($result, 256);
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php
new file mode 100644
index 000000000..5f94e68ba
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php
@@ -0,0 +1,1316 @@
+<?php
+
+/**
+ * Pure-PHP BigInteger Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines;
+
+use ParagonIE\ConstantTime\Hex;
+use phpseclib3\Exception\BadConfigurationException;
+
+/**
+ * Pure-PHP Engine.
+ *
+ * @package PHP
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PHP extends Engine
+{
+    /**#@+
+     * Array constants
+     *
+     * Rather than create a thousands and thousands of new BigInteger objects in repeated function calls to add() and
+     * multiply() or whatever, we'll just work directly on arrays, taking them in as parameters and returning them.
+     *
+     * @access protected
+    */
+    /**
+     * $result[self::VALUE] contains the value.
+     */
+    const VALUE = 0;
+    /**
+     * $result[self::SIGN] contains the sign.
+     */
+    const SIGN = 1;
+    /**#@-*/
+
+    /**
+     * Karatsuba Cutoff
+     *
+     * At what point do we switch between Karatsuba multiplication and schoolbook long multiplication?
+     *
+     * @access private
+     */
+    const KARATSUBA_CUTOFF = 25;
+
+    /**
+     * Can Bitwise operations be done fast?
+     *
+     * @see parent::bitwise_leftRotate()
+     * @see parent::bitwise_rightRotate()
+     * @access protected
+     */
+    const FAST_BITWISE = true;
+
+    /**
+     * Engine Directory
+     *
+     * @see parent::setModExpEngine
+     * @access protected
+     */
+    const ENGINE_DIR = 'PHP';
+
+    /**
+     * Default constructor
+     *
+     * @param mixed $x integer Base-10 number or base-$base number if $base set.
+     * @param int $base
+     * @see parent::__construct()
+     * @return \phpseclib3\Math\BigInteger\Engines\PHP
+     */
+    public function __construct($x = 0, $base = 10)
+    {
+        if (!isset(static::$isValidEngine)) {
+            static::$isValidEngine = static::isValidEngine();
+        }
+        if (!static::$isValidEngine) {
+            throw new BadConfigurationException(static::class . ' is not setup correctly on this system');
+        }
+
+        $this->value = [];
+        parent::__construct($x, $base);
+    }
+
+    /**
+     * Initialize a PHP BigInteger Engine instance
+     *
+     * @param int $base
+     * @see parent::__construct()
+     */
+    protected function initialize($base)
+    {
+        switch (abs($base)) {
+            case 16:
+                $x = (strlen($this->value) & 1) ? '0' . $this->value : $this->value;
+                $temp = new static(Hex::decode($x), 256);
+                $this->value = $temp->value;
+                break;
+            case 10:
+                $temp = new static();
+
+                $multiplier = new static();
+                $multiplier->value = [static::MAX10];
+
+                $x = $this->value;
+
+                if ($x[0] == '-') {
+                    $this->is_negative = true;
+                    $x = substr($x, 1);
+                }
+
+                $x = str_pad($x, strlen($x) + ((static::MAX10LEN - 1) * strlen($x)) % static::MAX10LEN, 0, STR_PAD_LEFT);
+                while (strlen($x)) {
+                    $temp = $temp->multiply($multiplier);
+                    $temp = $temp->add(new static($this->int2bytes(substr($x, 0, static::MAX10LEN)), 256));
+                    $x = substr($x, static::MAX10LEN);
+                }
+
+                $this->value = $temp->value;
+        }
+    }
+
+    /**
+     * Pads strings so that unpack may be used on them
+     *
+     * @param string $str
+     * @return string
+     */
+    protected function pad($str)
+    {
+        $length = strlen($str);
+
+        $pad = 4 - (strlen($str) % 4);
+
+        return str_pad($str, $length + $pad, "\0", STR_PAD_LEFT);
+    }
+
+    /**
+     * Converts a BigInteger to a base-10 number.
+     *
+     * @return string
+     */
+    public function toString()
+    {
+        if (!count($this->value)) {
+            return '0';
+        }
+
+        $temp = clone $this;
+        $temp->bitmask = false;
+        $temp->is_negative = false;
+
+        $divisor = new static();
+        $divisor->value = [static::MAX10];
+        $result = '';
+        while (count($temp->value)) {
+            list($temp, $mod) = $temp->divide($divisor);
+            $result = str_pad(isset($mod->value[0]) ? $mod->value[0] : '', static::MAX10LEN, '0', STR_PAD_LEFT) . $result;
+        }
+        $result = ltrim($result, '0');
+        if (empty($result)) {
+            $result = '0';
+        }
+
+        if ($this->is_negative) {
+            $result = '-' . $result;
+        }
+
+        return $result;
+    }
+
+    /**
+     * Converts a BigInteger to a byte string (eg. base-256).
+     *
+     * @param bool $twos_compliment
+     * @return string
+     */
+    public function toBytes($twos_compliment = false)
+    {
+        if ($twos_compliment) {
+            return $this->toBytesHelper();
+        }
+
+        if (!count($this->value)) {
+            return $this->precision > 0 ? str_repeat(chr(0), ($this->precision + 1) >> 3) : '';
+        }
+
+        $result = $this->bitwise_small_split(8);
+        $result = implode('', array_map('chr', $result));
+
+        return $this->precision > 0 ?
+            str_pad(substr($result, -(($this->precision + 7) >> 3)), ($this->precision + 7) >> 3, chr(0), STR_PAD_LEFT) :
+            $result;
+    }
+
+    /**
+     * Performs addition.
+     *
+     * @param array $x_value
+     * @param bool $x_negative
+     * @param array $y_value
+     * @param bool $y_negative
+     * @return array
+     */
+    protected static function addHelper(array $x_value, $x_negative, array $y_value, $y_negative)
+    {
+        $x_size = count($x_value);
+        $y_size = count($y_value);
+
+        if ($x_size == 0) {
+            return [
+                self::VALUE => $y_value,
+                self::SIGN => $y_negative
+            ];
+        } elseif ($y_size == 0) {
+            return [
+                self::VALUE => $x_value,
+                self::SIGN => $x_negative
+            ];
+        }
+
+        // subtract, if appropriate
+        if ($x_negative != $y_negative) {
+            if ($x_value == $y_value) {
+                return [
+                    self::VALUE => [],
+                    self::SIGN => false
+                ];
+            }
+
+            $temp = self::subtractHelper($x_value, false, $y_value, false);
+            $temp[self::SIGN] = self::compareHelper($x_value, false, $y_value, false) > 0 ?
+                                          $x_negative : $y_negative;
+
+            return $temp;
+        }
+
+        if ($x_size < $y_size) {
+            $size = $x_size;
+            $value = $y_value;
+        } else {
+            $size = $y_size;
+            $value = $x_value;
+        }
+
+        $value[count($value)] = 0; // just in case the carry adds an extra digit
+
+        $carry = 0;
+        for ($i = 0, $j = 1; $j < $size; $i+=2, $j+=2) {
+            //$sum = $x_value[$j] * static::BASE_FULL + $x_value[$i] + $y_value[$j] * static::BASE_FULL + $y_value[$i] + $carry;
+            $sum = ($x_value[$j] + $y_value[$j]) * static::BASE_FULL + $x_value[$i] + $y_value[$i] + $carry;
+            $carry = $sum >= static::MAX_DIGIT2; // eg. floor($sum / 2**52); only possible values (in any base) are 0 and 1
+            $sum = $carry ? $sum - static::MAX_DIGIT2 : $sum;
+
+            $temp = static::BASE === 26 ? intval($sum / 0x4000000) : ($sum >> 31);
+
+            $value[$i] = (int) ($sum - static::BASE_FULL * $temp); // eg. a faster alternative to fmod($sum, 0x4000000)
+            $value[$j] = $temp;
+        }
+
+        if ($j == $size) { // ie. if $y_size is odd
+            $sum = $x_value[$i] + $y_value[$i] + $carry;
+            $carry = $sum >= static::BASE_FULL;
+            $value[$i] = $carry ? $sum - static::BASE_FULL : $sum;
+            ++$i; // ie. let $i = $j since we've just done $value[$i]
+        }
+
+        if ($carry) {
+            for (; $value[$i] == static::MAX_DIGIT; ++$i) {
+                $value[$i] = 0;
+            }
+            ++$value[$i];
+        }
+
+        return [
+            self::VALUE => self::trim($value),
+            self::SIGN => $x_negative
+        ];
+    }
+
+    /**
+     * Performs subtraction.
+     *
+     * @param array $x_value
+     * @param bool $x_negative
+     * @param array $y_value
+     * @param bool $y_negative
+     * @return array
+     */
+    static function subtractHelper(array $x_value, $x_negative, array $y_value, $y_negative)
+    {
+        $x_size = count($x_value);
+        $y_size = count($y_value);
+
+        if ($x_size == 0) {
+            return [
+                self::VALUE => $y_value,
+                self::SIGN => !$y_negative
+            ];
+        } elseif ($y_size == 0) {
+            return [
+                self::VALUE => $x_value,
+                self::SIGN => $x_negative
+            ];
+        }
+
+        // add, if appropriate (ie. -$x - +$y or +$x - -$y)
+        if ($x_negative != $y_negative) {
+            $temp = self::addHelper($x_value, false, $y_value, false);
+            $temp[self::SIGN] = $x_negative;
+
+            return $temp;
+        }
+
+        $diff = self::compareHelper($x_value, $x_negative, $y_value, $y_negative);
+
+        if (!$diff) {
+            return [
+                self::VALUE => [],
+                self::SIGN => false
+            ];
+        }
+
+        // switch $x and $y around, if appropriate.
+        if ((!$x_negative && $diff < 0) || ($x_negative && $diff > 0)) {
+            $temp = $x_value;
+            $x_value = $y_value;
+            $y_value = $temp;
+
+            $x_negative = !$x_negative;
+
+            $x_size = count($x_value);
+            $y_size = count($y_value);
+        }
+
+        // at this point, $x_value should be at least as big as - if not bigger than - $y_value
+
+        $carry = 0;
+        for ($i = 0, $j = 1; $j < $y_size; $i+=2, $j+=2) {
+            $sum = ($x_value[$j] - $y_value[$j]) * static::BASE_FULL + $x_value[$i] - $y_value[$i] - $carry;
+
+            $carry = $sum < 0; // eg. floor($sum / 2**52); only possible values (in any base) are 0 and 1
+            $sum = $carry ? $sum + static::MAX_DIGIT2 : $sum;
+
+            $temp = static::BASE === 26 ? intval($sum / 0x4000000) : ($sum >> 31);
+
+            $x_value[$i] = (int) ($sum - static::BASE_FULL * $temp);
+            $x_value[$j] = $temp;
+        }
+
+        if ($j == $y_size) { // ie. if $y_size is odd
+            $sum = $x_value[$i] - $y_value[$i] - $carry;
+            $carry = $sum < 0;
+            $x_value[$i] = $carry ? $sum + static::BASE_FULL : $sum;
+            ++$i;
+        }
+
+        if ($carry) {
+            for (; !$x_value[$i]; ++$i) {
+                $x_value[$i] = static::MAX_DIGIT;
+            }
+            --$x_value[$i];
+        }
+
+        return [
+            self::VALUE => self::trim($x_value),
+            self::SIGN => $x_negative
+        ];
+    }
+
+    /**
+     * Performs multiplication.
+     *
+     * @param array $x_value
+     * @param bool $x_negative
+     * @param array $y_value
+     * @param bool $y_negative
+     * @return array
+     */
+    protected static function multiplyHelper(array $x_value, $x_negative, array $y_value, $y_negative)
+    {
+        //if ( $x_value == $y_value ) {
+        //    return [
+        //        self::VALUE => self::square($x_value),
+        //        self::SIGN => $x_sign != $y_value
+        //    ];
+        //}
+
+        $x_length = count($x_value);
+        $y_length = count($y_value);
+
+        if (!$x_length || !$y_length) { // a 0 is being multiplied
+            return [
+                self::VALUE => [],
+                self::SIGN => false
+            ];
+        }
+
+        return [
+            self::VALUE => min($x_length, $y_length) < 2 * self::KARATSUBA_CUTOFF ?
+                self::trim(self::regularMultiply($x_value, $y_value)) :
+                self::trim(self::karatsuba($x_value, $y_value)),
+            self::SIGN => $x_negative != $y_negative
+        ];
+    }
+
+    /**
+     * Performs Karatsuba multiplication on two BigIntegers
+     *
+     * See {@link http://en.wikipedia.org/wiki/Karatsuba_algorithm Karatsuba algorithm} and
+     * {@link http://math.libtomcrypt.com/files/tommath.pdf#page=120 MPM 5.2.3}.
+     *
+     * @param array $x_value
+     * @param array $y_value
+     * @return array
+     */
+    private static function karatsuba(array $x_value, array $y_value)
+    {
+        $m = min(count($x_value) >> 1, count($y_value) >> 1);
+
+        if ($m < self::KARATSUBA_CUTOFF) {
+            return self::regularMultiply($x_value, $y_value);
+        }
+
+        $x1 = array_slice($x_value, $m);
+        $x0 = array_slice($x_value, 0, $m);
+        $y1 = array_slice($y_value, $m);
+        $y0 = array_slice($y_value, 0, $m);
+
+        $z2 = self::karatsuba($x1, $y1);
+        $z0 = self::karatsuba($x0, $y0);
+
+        $z1 = self::addHelper($x1, false, $x0, false);
+        $temp = self::addHelper($y1, false, $y0, false);
+        $z1 = self::karatsuba($z1[self::VALUE], $temp[self::VALUE]);
+        $temp = self::addHelper($z2, false, $z0, false);
+        $z1 = self::subtractHelper($z1, false, $temp[self::VALUE], false);
+
+        $z2 = array_merge(array_fill(0, 2 * $m, 0), $z2);
+        $z1[self::VALUE] = array_merge(array_fill(0, $m, 0), $z1[self::VALUE]);
+
+        $xy = self::addHelper($z2, false, $z1[self::VALUE], $z1[self::SIGN]);
+        $xy = self::addHelper($xy[self::VALUE], $xy[self::SIGN], $z0, false);
+
+        return $xy[self::VALUE];
+    }
+
+    /**
+     * Performs long multiplication on two BigIntegers
+     *
+     * Modeled after 'multiply' in MutableBigInteger.java.
+     *
+     * @param array $x_value
+     * @param array $y_value
+     * @return array
+     */
+    protected static function regularMultiply(array $x_value, array $y_value)
+    {
+        $x_length = count($x_value);
+        $y_length = count($y_value);
+
+        if (!$x_length || !$y_length) { // a 0 is being multiplied
+            return [];
+        }
+
+        $product_value = self::array_repeat(0, $x_length + $y_length);
+
+        // the following for loop could be removed if the for loop following it
+        // (the one with nested for loops) initially set $i to 0, but
+        // doing so would also make the result in one set of unnecessary adds,
+        // since on the outermost loops first pass, $product->value[$k] is going
+        // to always be 0
+
+        $carry = 0;
+        for ($j = 0; $j < $x_length; ++$j) { // ie. $i = 0
+            $temp = $x_value[$j] * $y_value[0] + $carry; // $product_value[$k] == 0
+            $carry = static::BASE === 26 ? intval($temp / 0x4000000) : ($temp >> 31);
+            $product_value[$j] = (int) ($temp - static::BASE_FULL * $carry);
+        }
+
+        $product_value[$j] = $carry;
+
+        // the above for loop is what the previous comment was talking about.  the
+        // following for loop is the "one with nested for loops"
+        for ($i = 1; $i < $y_length; ++$i) {
+            $carry = 0;
+
+            for ($j = 0, $k = $i; $j < $x_length; ++$j, ++$k) {
+                $temp = $product_value[$k] + $x_value[$j] * $y_value[$i] + $carry;
+                $carry = static::BASE === 26 ? intval($temp / 0x4000000) : ($temp >> 31);
+                $product_value[$k] = (int) ($temp - static::BASE_FULL * $carry);
+            }
+
+            $product_value[$k] = $carry;
+        }
+
+        return $product_value;
+    }
+
+    /**
+     * Divides two BigIntegers.
+     *
+     * Returns an array whose first element contains the quotient and whose second element contains the
+     * "common residue".  If the remainder would be positive, the "common residue" and the remainder are the
+     * same.  If the remainder would be negative, the "common residue" is equal to the sum of the remainder
+     * and the divisor (basically, the "common residue" is the first positive modulo).
+     *
+     * @param \phpseclib3\Math\BigInteger\engines\PHP $y
+     * @return array
+     * @internal This function is based off of {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=9 HAC 14.20}.
+     */
+    protected function divideHelper(PHP $y)
+    {
+        if (count($y->value) == 1) {
+            list($q, $r) = $this->divide_digit($this->value, $y->value[0]);
+            $quotient = new static();
+            $remainder = new static();
+            $quotient->value = $q;
+            $remainder->value = [$r];
+            $quotient->is_negative = $this->is_negative != $y->is_negative;
+            return [$this->normalize($quotient), $this->normalize($remainder)];
+        }
+
+        $x = clone $this;
+        $y = clone $y;
+
+        $x_sign = $x->is_negative;
+        $y_sign = $y->is_negative;
+
+        $x->is_negative = $y->is_negative = false;
+
+        $diff = $x->compare($y);
+
+        if (!$diff) {
+            $temp = new static();
+            $temp->value = [1];
+            $temp->is_negative = $x_sign != $y_sign;
+            return [$this->normalize($temp), $this->normalize(static::$zero)];
+        }
+
+        if ($diff < 0) {
+            // if $x is negative, "add" $y.
+            if ($x_sign) {
+                $x = $y->subtract($x);
+            }
+            return [$this->normalize(static::$zero), $this->normalize($x)];
+        }
+
+        // normalize $x and $y as described in HAC 14.23 / 14.24
+        $msb = $y->value[count($y->value) - 1];
+        for ($shift = 0; !($msb & static::MSB); ++$shift) {
+            $msb <<= 1;
+        }
+        $x->lshift($shift);
+        $y->lshift($shift);
+        $y_value = &$y->value;
+
+        $x_max = count($x->value) - 1;
+        $y_max = count($y->value) - 1;
+
+        $quotient = new static();
+        $quotient_value = &$quotient->value;
+        $quotient_value = self::array_repeat(0, $x_max - $y_max + 1);
+
+        static $temp, $lhs, $rhs;
+        if (!isset($temp)) {
+            $temp = new static();
+            $lhs =  new static();
+            $rhs =  new static();
+        }
+        $temp_value = &$temp->value;
+        $rhs_value =  &$rhs->value;
+
+        // $temp = $y << ($x_max - $y_max-1) in base 2**26
+        $temp_value = array_merge(self::array_repeat(0, $x_max - $y_max), $y_value);
+
+        while ($x->compare($temp) >= 0) {
+            // calculate the "common residue"
+            ++$quotient_value[$x_max - $y_max];
+            $x = $x->subtract($temp);
+            $x_max = count($x->value) - 1;
+        }
+
+        for ($i = $x_max; $i >= $y_max + 1; --$i) {
+            $x_value = &$x->value;
+            $x_window = [
+                isset($x_value[$i]) ? $x_value[$i] : 0,
+                isset($x_value[$i - 1]) ? $x_value[$i - 1] : 0,
+                isset($x_value[$i - 2]) ? $x_value[$i - 2] : 0
+            ];
+            $y_window = [
+                $y_value[$y_max],
+                ($y_max > 0) ? $y_value[$y_max - 1] : 0
+            ];
+
+            $q_index = $i - $y_max - 1;
+            if ($x_window[0] == $y_window[0]) {
+                $quotient_value[$q_index] = static::MAX_DIGIT;
+            } else {
+                $quotient_value[$q_index] = self::safe_divide(
+                    $x_window[0] * static::BASE_FULL + $x_window[1],
+                    $y_window[0]
+                );
+            }
+
+            $temp_value = [$y_window[1], $y_window[0]];
+
+            $lhs->value = [$quotient_value[$q_index]];
+            $lhs = $lhs->multiply($temp);
+
+            $rhs_value = [$x_window[2], $x_window[1], $x_window[0]];
+
+            while ($lhs->compare($rhs) > 0) {
+                --$quotient_value[$q_index];
+
+                $lhs->value = [$quotient_value[$q_index]];
+                $lhs = $lhs->multiply($temp);
+            }
+
+            $adjust = self::array_repeat(0, $q_index);
+            $temp_value = [$quotient_value[$q_index]];
+            $temp = $temp->multiply($y);
+            $temp_value = &$temp->value;
+            if (count($temp_value)) {
+                $temp_value = array_merge($adjust, $temp_value);
+            }
+
+            $x = $x->subtract($temp);
+
+            if ($x->compare(static::$zero) < 0) {
+                $temp_value = array_merge($adjust, $y_value);
+                $x = $x->add($temp);
+
+                --$quotient_value[$q_index];
+            }
+
+            $x_max = count($x_value) - 1;
+        }
+
+        // unnormalize the remainder
+        $x->rshift($shift);
+
+        $quotient->is_negative = $x_sign != $y_sign;
+
+        // calculate the "common residue", if appropriate
+        if ($x_sign) {
+            $y->rshift($shift);
+            $x = $y->subtract($x);
+        }
+
+        return [$this->normalize($quotient), $this->normalize($x)];
+    }
+
+    /**
+     * Divides a BigInteger by a regular integer
+     *
+     * abc / x = a00 / x + b0 / x + c / x
+     *
+     * @param array $dividend
+     * @param int $divisor
+     * @return array
+     */
+    private static function divide_digit(array $dividend, $divisor)
+    {
+        $carry = 0;
+        $result = [];
+
+        for ($i = count($dividend) - 1; $i >= 0; --$i) {
+            $temp = static::BASE_FULL * $carry + $dividend[$i];
+            $result[$i] = self::safe_divide($temp, $divisor);
+            $carry = (int) ($temp - $divisor * $result[$i]);
+        }
+
+        return [$result, $carry];
+    }
+
+    /**
+     * Single digit division
+     *
+     * Even if int64 is being used the division operator will return a float64 value
+     * if the dividend is not evenly divisible by the divisor. Since a float64 doesn't
+     * have the precision of int64 this is a problem so, when int64 is being used,
+     * we'll guarantee that the dividend is divisible by first subtracting the remainder.
+     *
+     * @param int $x
+     * @param int $y
+     * @return int
+     */
+    private static function safe_divide($x, $y)
+    {
+        if (static::BASE === 26) {
+            return (int) ($x / $y);
+        }
+
+        // static::BASE === 31
+        return ($x - ($x % $y)) / $y;
+    }
+
+    /*
+     * Convert an array / boolean to a PHP BigInteger object
+     *
+     * @param array $arr
+     * @return \phpseclib3\Math\BigInteger\Engines\PHP
+     */
+    protected function convertToObj(array $arr)
+    {
+        $result = new static();
+        $result->value = $arr[self::VALUE];
+        $result->is_negative = $arr[self::SIGN];
+
+        return $this->normalize($result);
+    }
+
+    /**
+     * Normalize
+     *
+     * Removes leading zeros and truncates (if necessary) to maintain the appropriate precision
+     *
+     * @param PHP $result
+     * @return PHP
+     */
+    protected function normalize(PHP $result)
+    {
+        unset($result->reduce);
+
+        $result->precision = $this->precision;
+        $result->bitmask = $this->bitmask;
+
+        $value = &$result->value;
+
+        if (!count($value)) {
+            $result->is_negative = false;
+            return $result;
+        }
+
+        $value = static::trim($value);
+
+        if (!empty($result->bitmask->value)) {
+            $length = min(count($value), count($result->bitmask->value));
+            $value = array_slice($value, 0, $length);
+
+            for ($i = 0; $i < $length; ++$i) {
+                $value[$i] = $value[$i] & $result->bitmask->value[$i];
+            }
+        }
+
+        return $result;
+    }
+
+    /*
+     * Compares two numbers.
+     *
+     * @param array $x_value
+     * @param bool $x_negative
+     * @param array $y_value
+     * @param bool $y_negative
+     * @return int
+     * @see static::compare()
+     */
+    protected static function compareHelper(array $x_value, $x_negative, array $y_value, $y_negative)
+    {
+        if ($x_negative != $y_negative) {
+            return (!$x_negative && $y_negative) ? 1 : -1;
+        }
+
+        $result = $x_negative ? -1 : 1;
+
+        if (count($x_value) != count($y_value)) {
+            return (count($x_value) > count($y_value)) ? $result : -$result;
+        }
+        $size = max(count($x_value), count($y_value));
+
+        $x_value = array_pad($x_value, $size, 0);
+        $y_value = array_pad($y_value, $size, 0);
+
+        for ($i = count($x_value) - 1; $i >= 0; --$i) {
+            if ($x_value[$i] != $y_value[$i]) {
+                return ($x_value[$i] > $y_value[$i]) ? $result : -$result;
+            }
+        }
+
+        return 0;
+    }
+
+    /**
+     * Absolute value.
+     *
+     * @return \phpseclib3\Math\BigInteger\Engines\PHP
+     */
+    public function abs()
+    {
+        $temp = new static();
+        $temp->value = $this->value;
+
+        return $temp;
+    }
+
+    /**
+     * Trim
+     *
+     * Removes leading zeros
+     *
+     * @param array $value
+     * @return PHP
+     */
+    protected static function trim(array $value)
+    {
+        for ($i = count($value) - 1; $i >= 0; --$i) {
+            if ($value[$i]) {
+                break;
+            }
+            unset($value[$i]);
+        }
+
+        return $value;
+    }
+
+    /**
+     * Logical Right Shift
+     *
+     * Shifts BigInteger's by $shift bits, effectively dividing by 2**$shift.
+     *
+     * @param int $shift
+     * @return \phpseclib3\Math\BigInteger\Engines\PHP
+     */
+    public function bitwise_rightShift($shift)
+    {
+        $temp = new static();
+
+        // could just replace lshift with this, but then all lshift() calls would need to be rewritten
+        // and I don't want to do that...
+        $temp->value = $this->value;
+        $temp->rshift($shift);
+
+        return $this->normalize($temp);
+    }
+
+    /**
+     * Logical Left Shift
+     *
+     * Shifts BigInteger's by $shift bits, effectively multiplying by 2**$shift.
+     *
+     * @param int $shift
+     * @return \phpseclib3\Math\BigInteger\Engines\PHP
+     */
+    public function bitwise_leftShift($shift)
+    {
+        $temp = new static();
+        // could just replace _rshift with this, but then all _lshift() calls would need to be rewritten
+        // and I don't want to do that...
+        $temp->value = $this->value;
+        $temp->lshift($shift);
+
+        return $this->normalize($temp);
+    }
+
+    /**
+     * Converts 32-bit integers to bytes.
+     *
+     * @param int $x
+     * @return string
+     */
+    private static function int2bytes($x)
+    {
+        return ltrim(pack('N', $x), chr(0));
+    }
+
+    /**
+     * Array Repeat
+     *
+     * @param int $input
+     * @param int $multiplier
+     * @return array
+     */
+    protected static function array_repeat($input, $multiplier)
+    { 
+        return $multiplier ? array_fill(0, $multiplier, $input) : [];
+    }
+
+    /**
+     * Logical Left Shift
+     *
+     * Shifts BigInteger's by $shift bits.
+     *
+     * @param int $shift
+     */
+    protected function lshift($shift)
+    {
+        if ($shift == 0) {
+            return;
+        }
+
+        $num_digits = (int) ($shift / static::BASE);
+        $shift %= static::BASE;
+        $shift = 1 << $shift;
+
+        $carry = 0;
+
+        for ($i = 0; $i < count($this->value); ++$i) {
+            $temp = $this->value[$i] * $shift + $carry;
+            $carry = static::BASE === 26 ? intval($temp / 0x4000000) : ($temp >> 31);
+            $this->value[$i] = (int) ($temp - $carry * static::BASE_FULL);
+        }
+
+        if ($carry) {
+            $this->value[count($this->value)] = $carry;
+        }
+
+        while ($num_digits--) {
+            array_unshift($this->value, 0);
+        }
+    }
+
+    /**
+     * Logical Right Shift
+     *
+     * Shifts BigInteger's by $shift bits.
+     *
+     * @param int $shift
+     */
+    protected function rshift($shift)
+    {
+        if ($shift == 0) {
+            return;
+        }
+
+        $num_digits = (int) ($shift / static::BASE);
+        $shift %= static::BASE;
+        $carry_shift = static::BASE - $shift;
+        $carry_mask = (1 << $shift) - 1;
+
+        if ($num_digits) {
+            $this->value = array_slice($this->value, $num_digits);
+        }
+
+        $carry = 0;
+
+        for ($i = count($this->value) - 1; $i >= 0; --$i) {
+            $temp = $this->value[$i] >> $shift | $carry;
+            $carry = ($this->value[$i] & $carry_mask) << $carry_shift;
+            $this->value[$i] = $temp;
+        }
+
+        $this->value = static::trim($this->value);
+    }
+
+    /**
+     * Performs modular exponentiation.
+     *
+     * @param PHP $e
+     * @param PHP $n
+     * @return PHP
+     */
+    protected function powModInner(PHP $e, PHP $n)
+    {
+        try {
+            $class = static::$modexpEngine;
+            return $class::powModHelper($this, $e, $n, static::class);
+        } catch (\Exception $err) {
+            return PHP\DefaultEngine::powModHelper($this, $e, $n, static::class);
+        }
+    }
+
+    /**
+     * Performs squaring
+     *
+     * @param array $x
+     * @return array
+     */
+    protected static function square(array $x)
+    {
+        return count($x) < 2 * self::KARATSUBA_CUTOFF ?
+            self::trim(self::baseSquare($x)) :
+            self::trim(self::karatsubaSquare($x));
+    }
+
+    /**
+     * Performs traditional squaring on two BigIntegers
+     *
+     * Squaring can be done faster than multiplying a number by itself can be.  See
+     * {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=7 HAC 14.2.4} /
+     * {@link http://math.libtomcrypt.com/files/tommath.pdf#page=141 MPM 5.3} for more information.
+     *
+     * @param array $value
+     * @return array
+     */
+    protected static function baseSquare(array $value)
+    {
+        if (empty($value)) {
+            return [];
+        }
+        $square_value = self::array_repeat(0, 2 * count($value));
+
+        for ($i = 0, $max_index = count($value) - 1; $i <= $max_index; ++$i) {
+            $i2 = $i << 1;
+
+            $temp = $square_value[$i2] + $value[$i] * $value[$i];
+            $carry = static::BASE === 26 ? intval($temp / 0x4000000) : ($temp >> 31);
+            $square_value[$i2] = (int) ($temp - static::BASE_FULL * $carry);
+
+            // note how we start from $i+1 instead of 0 as we do in multiplication.
+            for ($j = $i + 1, $k = $i2 + 1; $j <= $max_index; ++$j, ++$k) {
+                $temp = $square_value[$k] + 2 * $value[$j] * $value[$i] + $carry;
+                $carry = static::BASE === 26 ? intval($temp / 0x4000000) : ($temp >> 31);
+                $square_value[$k] = (int) ($temp - static::BASE_FULL * $carry);
+            }
+
+            // the following line can yield values larger 2**15.  at this point, PHP should switch
+            // over to floats.
+            $square_value[$i + $max_index + 1] = $carry;
+        }
+
+        return $square_value;
+    }
+
+    /**
+     * Performs Karatsuba "squaring" on two BigIntegers
+     *
+     * See {@link http://en.wikipedia.org/wiki/Karatsuba_algorithm Karatsuba algorithm} and
+     * {@link http://math.libtomcrypt.com/files/tommath.pdf#page=151 MPM 5.3.4}.
+     *
+     * @param array $value
+     * @return array
+     */
+    protected static function karatsubaSquare(array $value)
+    {
+        $m = count($value) >> 1;
+
+        if ($m < self::KARATSUBA_CUTOFF) {
+            return self::baseSquare($value);
+        }
+
+        $x1 = array_slice($value, $m);
+        $x0 = array_slice($value, 0, $m);
+
+        $z2 = self::karatsubaSquare($x1);
+        $z0 = self::karatsubaSquare($x0);
+
+        $z1 = self::addHelper($x1, false, $x0, false);
+        $z1 = self::karatsubaSquare($z1[self::VALUE]);
+        $temp = self::addHelper($z2, false, $z0, false);
+        $z1 = self::subtractHelper($z1, false, $temp[self::VALUE], false);
+
+        $z2 = array_merge(array_fill(0, 2 * $m, 0), $z2);
+        $z1[self::VALUE] = array_merge(array_fill(0, $m, 0), $z1[self::VALUE]);
+
+        $xx = self::addHelper($z2, false, $z1[self::VALUE], $z1[self::SIGN]);
+        $xx = self::addHelper($xx[self::VALUE], $xx[self::SIGN], $z0, false);
+
+        return $xx[self::VALUE];
+    }
+
+    /**
+     * Make the current number odd
+     *
+     * If the current number is odd it'll be unchanged.  If it's even, one will be added to it.
+     *
+     * @see self::randomPrime()
+     */
+    protected function make_odd()
+    {
+        $this->value[0] |= 1;
+    }
+
+    /**
+     * Test the number against small primes.
+     *
+     * @see self::isPrime()
+     */
+    protected function testSmallPrimes()
+    {
+        if ($this->value == [1]) {
+            return false;
+        }
+        if ($this->value == [2]) {
+            return true;
+        }
+        if (~$this->value[0] & 1) {
+            return false;
+        }
+
+        $value = $this->value;
+        foreach (static::$primes as $prime) {
+            list(, $r) = self::divide_digit($value, $prime);
+            if (!$r) {
+                return count($value) == 1 && $value[0] == $prime;
+            }
+        }
+
+        return true;
+    }
+
+    /**
+     * Scan for 1 and right shift by that amount
+     *
+     * ie. $s = gmp_scan1($n, 0) and $r = gmp_div_q($n, gmp_pow(gmp_init('2'), $s));
+     *
+     * @see self::isPrime()
+     * @param PHP $r
+     * @return int
+     */
+    public static function scan1divide(PHP $r)
+    {
+        $r_value = &$r->value;
+        for ($i = 0, $r_length = count($r_value); $i < $r_length; ++$i) {
+            $temp = ~$r_value[$i] & static::MAX_DIGIT;
+            for ($j = 1; ($temp >> $j) & 1; ++$j) {
+            }
+            if ($j <= static::BASE) {
+                break;
+            }
+        }
+        $s = static::BASE * $i + $j;
+        $r->rshift($s);
+        return $s;
+    }
+
+    /**
+     * Performs exponentiation.
+     *
+     * @param PHP $n
+     * @return PHP
+     */
+    protected function powHelper(PHP $n)
+    {
+        if ($n->compare(static::$zero) == 0) {
+            return new static(1);
+        } // n^0 = 1
+
+        $temp = clone $this;
+        while (!$n->equals(static::$one)) {
+            $temp = $temp->multiply($this);
+            $n = $n->subtract(static::$one);
+        }
+
+        return $temp;
+    }
+
+    /**
+     * Is Odd?
+     *
+     * @return boolean
+     */
+    public function isOdd()
+    {
+        return (bool) ($this->value[0] & 1);
+    }
+
+    /**
+     * Tests if a bit is set
+     *
+     * @return boolean
+     */
+    public function testBit($x)
+    {
+        $digit = floor($x / static::BASE);
+        $bit = $x % static::BASE;
+
+        if (!isset($this->value[$digit])) {
+            return false;
+        }
+
+        return (bool) ($this->value[$digit] & (1 << $bit));
+    }
+
+    /**
+     * Is Negative?
+     *
+     * @return boolean
+     */
+    public function isNegative()
+    {
+        return $this->is_negative;
+    }
+
+    /**
+     * Negate
+     *
+     * Given $k, returns -$k
+     *
+     * @return BigInteger
+     */
+    public function negate()
+    {
+        $temp = clone $this;
+        $temp->is_negative = !$temp->is_negative;
+
+        return $temp;
+    }
+
+    /**
+     * Bitwise Split
+     *
+     * Splits BigInteger's into chunks of $split bits
+     *
+     * @param int $split
+     * @return \phpseclib3\Math\BigInteger\Engines\PHP[]
+     */
+    public function bitwise_split($split)
+    {
+        if ($split < 1) {
+            throw new \RuntimeException('Offset must be greater than 1');
+        }
+
+        $width = (int) ($split / static::BASE);
+        if (!$width) {
+            $arr = $this->bitwise_small_split($split);
+            return array_map(function ($digit) {
+                $temp = new static();
+                $temp->value = $digit != 0 ? [$digit] : [];
+                return $temp;
+            }, $arr);
+        }
+
+        $vals = [];
+        $val = $this->value;
+
+        $i = $overflow = 0;
+        $len = count($val);
+        while ($i < $len) {
+            $digit = [];
+            if (!$overflow) {
+                $digit = array_slice($val, $i, $width);
+                $i+= $width;
+                $overflow = $split % static::BASE;
+                if ($overflow) {
+                    $mask = (1 << $overflow) - 1;
+                    $temp = isset($val[$i]) ? $val[$i] : 0;
+                    $digit[] = $temp & $mask;
+                }
+            } else {
+                $remaining = static::BASE - $overflow;
+                $tempsplit = $split - $remaining;
+                $tempwidth = (int) ($tempsplit / static::BASE + 1);
+                $digit = array_slice($val, $i, $tempwidth);
+                $i+= $tempwidth;
+                $tempoverflow = $tempsplit % static::BASE;
+                if ($tempoverflow) {
+                    $tempmask = (1 << $tempoverflow) - 1;
+                    $temp = isset($val[$i]) ? $val[$i] : 0;
+                    $digit[] = $temp & $tempmask;
+                }
+                $newbits = 0;
+                for ($j = count($digit) - 1; $j >= 0; $j--) {
+                    $temp = $digit[$j] & $mask;
+                    $digit[$j] = ($digit[$j] >> $overflow) | ($newbits << $remaining);
+                    $newbits = $temp;
+                }
+                $overflow = $tempoverflow;
+                $mask = $tempmask;
+            }
+            $temp = new static();
+            $temp->value = static::trim($digit);
+            $vals[] = $temp;
+        }
+
+        return array_reverse($vals);
+    }
+
+    /**
+     * Bitwise Split where $split < static::BASE
+     *
+     * @param int $split
+     * @return \phpseclib3\Math\BigInteger\Engines\PHP[]
+     */
+    private function bitwise_small_split($split)
+    {
+        $vals = [];
+        $val = $this->value;
+
+        $mask = (1 << $split) - 1;
+
+        $i = $overflow = 0;
+        $len = count($val);
+        $val[] = 0;
+        $remaining = static::BASE;
+        while ($i != $len) {
+            $digit = $val[$i] & $mask;
+            $val[$i]>>= $split;
+            if (!$overflow) {
+                $remaining-= $split;
+                $overflow = $split <= $remaining ? 0 : $split - $remaining;
+
+                if (!$remaining) {
+                    $i++;
+                    $remaining = static::BASE;
+                    $overflow = 0;
+                }
+            } else if (++$i != $len) {
+                $tempmask = (1 << $overflow) - 1;
+                $digit|= ($val[$i] & $tempmask) << $remaining;
+                $val[$i]>>= $overflow;
+                $remaining = static::BASE - $overflow;
+                $overflow = $split <= $remaining ? 0 : $split - $remaining;
+            }
+
+            $vals[] = $digit;
+        }
+
+        while ($vals[count($vals) - 1] == 0) {
+            unset($vals[count($vals) - 1]);
+        }
+
+        return array_reverse($vals);
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php
new file mode 100644
index 000000000..fb781c945
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php
@@ -0,0 +1,149 @@
+<?php
+
+/**
+ * PHP Modular Exponentiation Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines\PHP;
+
+use phpseclib3\Math\BigInteger\Engines\PHP;
+
+/**
+ * PHP Modular Exponentiation Engine
+ *
+ * @package PHP
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Base extends PHP
+{
+    /**
+     * Cache constants
+     *
+     * $cache[self::VARIABLE] tells us whether or not the cached data is still valid.
+     *
+     * @access private
+     */
+    const VARIABLE = 0;
+    /**
+     * $cache[self::DATA] contains the cached data.
+     *
+     * @access private
+     */
+    const DATA = 1;
+
+    /**
+     * Test for engine validity
+     *
+     * @return bool
+     */
+    public static function isValidEngine()
+    {
+        return static::class != __CLASS__;
+    }
+
+    /**
+     * Performs modular exponentiation.
+     *
+     * The most naive approach to modular exponentiation has very unreasonable requirements, and
+     * and although the approach involving repeated squaring does vastly better, it, too, is impractical
+     * for our purposes.  The reason being that division - by far the most complicated and time-consuming
+     * of the basic operations (eg. +,-,*,/) - occurs multiple times within it.
+     *
+     * Modular reductions resolve this issue.  Although an individual modular reduction takes more time
+     * then an individual division, when performed in succession (with the same modulo), they're a lot faster.
+     *
+     * The two most commonly used modular reductions are Barrett and Montgomery reduction.  Montgomery reduction,
+     * although faster, only works when the gcd of the modulo and of the base being used is 1.  In RSA, when the
+     * base is a power of two, the modulo - a product of two primes - is always going to have a gcd of 1 (because
+     * the product of two odd numbers is odd), but what about when RSA isn't used?
+     *
+     * In contrast, Barrett reduction has no such constraint.  As such, some bigint implementations perform a
+     * Barrett reduction after every operation in the modpow function.  Others perform Barrett reductions when the
+     * modulo is even and Montgomery reductions when the modulo is odd.  BigInteger.java's modPow method, however,
+     * uses a trick involving the Chinese Remainder Theorem to factor the even modulo into two numbers - one odd and
+     * the other, a power of two - and recombine them, later.  This is the method that this modPow function uses.
+     * {@link http://islab.oregonstate.edu/papers/j34monex.pdf Montgomery Reduction with Even Modulus} elaborates.
+     *
+     * @param \phpseclib3\Math\BigInteger\Engines\PHP $x
+     * @param \phpseclib3\Math\BigInteger\Engines\PHP $e
+     * @param \phpseclib3\Math\BigInteger\Engines\PHP $n
+     * @param string $class
+     * @return \phpseclib3\Math\BigInteger\Engines\PHP
+     */
+    protected static function powModHelper(PHP $x, PHP $e, PHP $n, $class)
+    {
+        if (empty($e->value)) {
+            $temp = new $class();
+            $temp->value = [1];
+            return $x->normalize($temp);
+        }
+
+        if ($e->value == [1]) {
+            list(, $temp) = $x->divide($n);
+            return $x->normalize($temp);
+        }
+
+        if ($e->value == [2]) {
+            $temp = new $class;
+            $temp->value = $class::square($x->value);
+            list(, $temp) = $temp->divide($n);
+            return $x->normalize($temp);
+        }
+
+        return $x->normalize(static::slidingWindow($x, $e, $n, $class));
+    }
+
+    /**
+     * Modular reduction preparation
+     *
+     * @param array $x
+     * @param array $n
+     * @param string $class
+     * @see self::slidingWindow()
+     * @return array
+     */
+    protected static function prepareReduce(array $x, array $n, $class)
+    {
+        return static::reduce($x, $n, $class);
+    }
+
+    /**
+     * Modular multiply
+     *
+     * @param array $x
+     * @param array $y
+     * @param array $n
+     * @param string $class
+     * @see self::slidingWindow()
+     * @return array
+     */
+    protected static function multiplyReduce(array $x, array $y, array $n, $class)
+    {
+        $temp = $class::multiplyHelper($x, false, $y, false);
+        return static::reduce($temp[self::VALUE], $n, $class);
+    }
+
+    /**
+     * Modular square
+     *
+     * @param array $x
+     * @param array $n
+     * @param string $class
+     * @see self::slidingWindow()
+     * @return array
+     */
+    protected static function squareReduce(array $x, array $n, $class)
+    {
+        return static::reduce($class::square($x), $n, $class);
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/DefaultEngine.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/DefaultEngine.php
new file mode 100644
index 000000000..138deb1f6
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/DefaultEngine.php
@@ -0,0 +1,29 @@
+<?php
+
+/**
+ * PHP Default Modular Exponentiation Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines\PHP;
+
+use phpseclib3\Math\BigInteger\Engines\PHP\Reductions\EvalBarrett;
+
+/**
+ * PHP Default Modular Exponentiation Engine
+ *
+ * @package PHP
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class DefaultEngine extends EvalBarrett
+{
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Montgomery.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Montgomery.php
new file mode 100644
index 000000000..0ebbd71a8
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Montgomery.php
@@ -0,0 +1,93 @@
+<?php
+
+/**
+ * PHP Montgomery Modular Exponentiation Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines\PHP;
+
+use phpseclib3\Math\BigInteger\Engines\PHP\Reductions\PowerOfTwo;
+use phpseclib3\Math\BigInteger\Engines\PHP;
+use phpseclib3\Math\BigInteger\Engines\PHP\Base;
+use phpseclib3\Math\BigInteger\Engines\Engine;
+
+/**
+ * PHP Montgomery Modular Exponentiation Engine
+ *
+ * @package PHP
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Montgomery extends Base
+{
+    /**
+     * Test for engine validity
+     *
+     * @return bool
+     */
+    public static function isValidEngine()
+    {
+        return static::class != __CLASS__;
+    }
+
+    /**
+     * Performs modular exponentiation.
+     *
+     * @param \phpseclib3\Math\BigInteger\Engines\Engine $x
+     * @param \phpseclib3\Math\BigInteger\Engines\Engine $e
+     * @param \phpseclib3\Math\BigInteger\Engines\Engine $n
+     * @param string $class
+     * @return \phpseclib3\Math\BigInteger\Engines\Engine
+     */
+    protected static function slidingWindow(Engine $x, Engine $e, Engine $n, $class)
+    {
+        // is the modulo odd?
+        if ($n->value[0] & 1) {
+            return parent::slidingWindow($x, $e, $n, $class);
+        }
+        // if it's not, it's even
+
+        // find the lowest set bit (eg. the max pow of 2 that divides $n)
+        for ($i = 0; $i < count($n->value); ++$i) {
+            if ($n->value[$i]) {
+                $temp = decbin($n->value[$i]);
+                $j = strlen($temp) - strrpos($temp, '1') - 1;
+                $j+= $class::BASE * $i;
+                break;
+            }
+        }
+        // at this point, 2^$j * $n/(2^$j) == $n
+
+        $mod1 = clone $n;
+        $mod1->rshift($j);
+        $mod2 = new $class();
+        $mod2->value = [1];
+        $mod2->lshift($j);
+
+        $part1 = $mod1->value != [1] ? parent::slidingWindow($x, $e, $mod1, $class) : new $class();
+        $part2 = PowerOfTwo::slidingWindow($x, $e, $mod2, $class);
+
+        $y1 = $mod2->modInverse($mod1);
+        $y2 = $mod1->modInverse($mod2);
+
+        $result = $part1->multiply($mod2);
+        $result = $result->multiply($y1);
+
+        $temp = $part2->multiply($mod1);
+        $temp = $temp->multiply($y2);
+
+        $result = $result->add($temp);
+        list(, $result) = $result->divide($n);
+
+        return $result;
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/OpenSSL.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/OpenSSL.php
new file mode 100644
index 000000000..1b7b5b401
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/OpenSSL.php
@@ -0,0 +1,29 @@
+<?php
+
+/**
+ * OpenSSL Modular Exponentiation Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines\PHP;
+
+use phpseclib3\Math\BigInteger\Engines\OpenSSL as Progenitor;
+
+/**
+ * OpenSSL Modular Exponentiation Engine
+ *
+ * @package PHP
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class OpenSSL extends Progenitor
+{
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Barrett.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Barrett.php
new file mode 100644
index 000000000..03e0f8aaa
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Barrett.php
@@ -0,0 +1,284 @@
+<?php
+
+/**
+ * PHP Barrett Modular Exponentiation Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines\PHP\Reductions;
+
+use phpseclib3\Math\BigInteger\Engines\PHP\Base;
+
+/**
+ * PHP Barrett Modular Exponentiation Engine
+ *
+ * @package PHP
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Barrett extends Base
+{
+    /**
+     * Barrett Modular Reduction
+     *
+     * See {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=14 HAC 14.3.3} /
+     * {@link http://math.libtomcrypt.com/files/tommath.pdf#page=165 MPM 6.2.5} for more information.  Modified slightly,
+     * so as not to require negative numbers (initially, this script didn't support negative numbers).
+     *
+     * Employs "folding", as described at
+     * {@link http://www.cosic.esat.kuleuven.be/publications/thesis-149.pdf#page=66 thesis-149.pdf#page=66}.  To quote from
+     * it, "the idea [behind folding] is to find a value x' such that x (mod m) = x' (mod m), with x' being smaller than x."
+     *
+     * Unfortunately, the "Barrett Reduction with Folding" algorithm described in thesis-149.pdf is not, as written, all that
+     * usable on account of (1) its not using reasonable radix points as discussed in
+     * {@link http://math.libtomcrypt.com/files/tommath.pdf#page=162 MPM 6.2.2} and (2) the fact that, even with reasonable
+     * radix points, it only works when there are an even number of digits in the denominator.  The reason for (2) is that
+     * (x >> 1) + (x >> 1) != x / 2 + x / 2.  If x is even, they're the same, but if x is odd, they're not.  See the in-line
+     * comments for details.
+     *
+     * @param array $n
+     * @param array $m
+     * @param string $class
+     * @return array
+     */
+    protected static function reduce(array $n, array $m, $class)
+    {
+        static $cache = [
+            self::VARIABLE => [],
+            self::DATA => []
+        ];
+
+        $m_length = count($m);
+
+        // if (self::compareHelper($n, $static::square($m)) >= 0) {
+        if (count($n) > 2 * $m_length) {
+            $lhs = new $class();
+            $rhs = new $class();
+            $lhs->value = $n;
+            $rhs->value = $m;
+            list(, $temp) = $lhs->divide($rhs);
+            return $temp->value;
+        }
+
+        // if (m.length >> 1) + 2 <= m.length then m is too small and n can't be reduced
+        if ($m_length < 5) {
+            return self::regularBarrett($n, $m, $class);
+        }
+        // n = 2 * m.length
+
+        if (($key = array_search($m, $cache[self::VARIABLE])) === false) {
+            $key = count($cache[self::VARIABLE]);
+            $cache[self::VARIABLE][] = $m;
+
+            $lhs = new $class();
+            $lhs_value = &$lhs->value;
+            $lhs_value = self::array_repeat(0, $m_length + ($m_length >> 1));
+            $lhs_value[] = 1;
+            $rhs = new $class();
+            $rhs->value = $m;
+
+            list($u, $m1) = $lhs->divide($rhs);
+            $u = $u->value;
+            $m1 = $m1->value;
+
+            $cache[self::DATA][] = [
+                'u' => $u, // m.length >> 1 (technically (m.length >> 1) + 1)
+                'm1'=> $m1 // m.length
+            ];
+        } else {
+            extract($cache[self::DATA][$key]);
+        }
+
+        $cutoff = $m_length + ($m_length >> 1);
+        $lsd = array_slice($n, 0, $cutoff); // m.length + (m.length >> 1)
+        $msd = array_slice($n, $cutoff);    // m.length >> 1
+
+        $lsd = self::trim($lsd);
+        $temp = $class::multiplyHelper($msd, false, $m1, false); // m.length + (m.length >> 1)
+        $n = $class::addHelper($lsd, false, $temp[self::VALUE], false); // m.length + (m.length >> 1) + 1 (so basically we're adding two same length numbers)
+        //if ($m_length & 1) {
+        //    return self::regularBarrett($n[self::VALUE], $m, $class);
+        //}
+
+        // (m.length + (m.length >> 1) + 1) - (m.length - 1) == (m.length >> 1) + 2
+        $temp = array_slice($n[self::VALUE], $m_length - 1);
+        // if even: ((m.length >> 1) + 2) + (m.length >> 1) == m.length + 2
+        // if odd:  ((m.length >> 1) + 2) + (m.length >> 1) == (m.length - 1) + 2 == m.length + 1
+        $temp = $class::multiplyHelper($temp, false, $u, false);
+        // if even: (m.length + 2) - ((m.length >> 1) + 1) = m.length - (m.length >> 1) + 1
+        // if odd:  (m.length + 1) - ((m.length >> 1) + 1) = m.length - (m.length >> 1)
+        $temp = array_slice($temp[self::VALUE], ($m_length >> 1) + 1);
+        // if even: (m.length - (m.length >> 1) + 1) + m.length = 2 * m.length - (m.length >> 1) + 1
+        // if odd:  (m.length - (m.length >> 1)) + m.length     = 2 * m.length - (m.length >> 1)
+        $temp = $class::multiplyHelper($temp, false, $m, false);
+
+        // at this point, if m had an odd number of digits, we'd be subtracting a 2 * m.length - (m.length >> 1) digit
+        // number from a m.length + (m.length >> 1) + 1 digit number.  ie. there'd be an extra digit and the while loop
+        // following this comment would loop a lot (hence our calling _regularBarrett() in that situation).
+
+        $result = $class::subtractHelper($n[self::VALUE], false, $temp[self::VALUE], false);
+
+        while (self::compareHelper($result[self::VALUE], $result[self::SIGN], $m, false) >= 0) {
+            $result = $class::subtractHelper($result[self::VALUE], $result[self::SIGN], $m, false);
+        }
+
+        return $result[self::VALUE];
+    }
+
+    /**
+     * (Regular) Barrett Modular Reduction
+     *
+     * For numbers with more than four digits BigInteger::_barrett() is faster.  The difference between that and this
+     * is that this function does not fold the denominator into a smaller form.
+     *
+     * @param array $x
+     * @param array $n
+     * @param string $class
+     * @return array
+     */
+    private static function regularBarrett(array $x, array $n, $class)
+    {
+        static $cache = [
+            self::VARIABLE => [],
+            self::DATA => []
+        ];
+
+        $n_length = count($n);
+
+        if (count($x) > 2 * $n_length) {
+            $lhs = new $class();
+            $rhs = new $class();
+            $lhs->value = $x;
+            $rhs->value = $n;
+            list(, $temp) = $lhs->divide($rhs);
+            return $temp->value;
+        }
+
+        if (($key = array_search($n, $cache[self::VARIABLE])) === false) {
+            $key = count($cache[self::VARIABLE]);
+            $cache[self::VARIABLE][] = $n;
+            $lhs = new $class();
+            $lhs_value = &$lhs->value;
+            $lhs_value = self::array_repeat(0, 2 * $n_length);
+            $lhs_value[] = 1;
+            $rhs = new $class();
+            $rhs->value = $n;
+            list($temp, ) = $lhs->divide($rhs); // m.length
+            $cache[self::DATA][] = $temp->value;
+        }
+
+        // 2 * m.length - (m.length - 1) = m.length + 1
+        $temp = array_slice($x, $n_length - 1);
+        // (m.length + 1) + m.length = 2 * m.length + 1
+        $temp = $class::multiplyHelper($temp, false, $cache[self::DATA][$key], false);
+        // (2 * m.length + 1) - (m.length - 1) = m.length + 2
+        $temp = array_slice($temp[self::VALUE], $n_length + 1);
+
+        // m.length + 1
+        $result = array_slice($x, 0, $n_length + 1);
+        // m.length + 1
+        $temp = self::multiplyLower($temp, false, $n, false, $n_length + 1, $class);
+        // $temp == array_slice($class::regularMultiply($temp, false, $n, false)->value, 0, $n_length + 1)
+
+        if (self::compareHelper($result, false, $temp[self::VALUE], $temp[self::SIGN]) < 0) {
+            $corrector_value = self::array_repeat(0, $n_length + 1);
+            $corrector_value[count($corrector_value)] = 1;
+            $result = $class::addHelper($result, false, $corrector_value, false);
+            $result = $result[self::VALUE];
+        }
+
+        // at this point, we're subtracting a number with m.length + 1 digits from another number with m.length + 1 digits
+        $result = $class::subtractHelper($result, false, $temp[self::VALUE], $temp[self::SIGN]);
+        while (self::compareHelper($result[self::VALUE], $result[self::SIGN], $n, false) > 0) {
+            $result = $class::subtractHelper($result[self::VALUE], $result[self::SIGN], $n, false);
+        }
+
+        return $result[self::VALUE];
+    }
+
+    /**
+     * Performs long multiplication up to $stop digits
+     *
+     * If you're going to be doing array_slice($product->value, 0, $stop), some cycles can be saved.
+     *
+     * @see self::regularBarrett()
+     * @param array $x_value
+     * @param bool $x_negative
+     * @param array $y_value
+     * @param bool $y_negative
+     * @param int $stop
+     * @param string $class
+     * @return array
+     */
+    private static function multiplyLower(array $x_value, $x_negative, array $y_value, $y_negative, $stop, $class)
+    {
+        $x_length = count($x_value);
+        $y_length = count($y_value);
+
+        if (!$x_length || !$y_length) { // a 0 is being multiplied
+            return [
+                self::VALUE => [],
+                self::SIGN => false
+            ];
+        }
+
+        if ($x_length < $y_length) {
+            $temp = $x_value;
+            $x_value = $y_value;
+            $y_value = $temp;
+
+            $x_length = count($x_value);
+            $y_length = count($y_value);
+        }
+
+        $product_value = self::array_repeat(0, $x_length + $y_length);
+
+        // the following for loop could be removed if the for loop following it
+        // (the one with nested for loops) initially set $i to 0, but
+        // doing so would also make the result in one set of unnecessary adds,
+        // since on the outermost loops first pass, $product->value[$k] is going
+        // to always be 0
+
+        $carry = 0;
+
+        for ($j = 0; $j < $x_length; ++$j) { // ie. $i = 0, $k = $i
+            $temp = $x_value[$j] * $y_value[0] + $carry; // $product_value[$k] == 0
+            $carry = $class::BASE === 26 ? intval($temp / 0x4000000) : ($temp >> 31);
+            $product_value[$j] = (int) ($temp - $class::BASE_FULL * $carry);
+        }
+
+        if ($j < $stop) {
+            $product_value[$j] = $carry;
+        }
+
+        // the above for loop is what the previous comment was talking about.  the
+        // following for loop is the "one with nested for loops"
+
+        for ($i = 1; $i < $y_length; ++$i) {
+            $carry = 0;
+
+            for ($j = 0, $k = $i; $j < $x_length && $k < $stop; ++$j, ++$k) {
+                $temp = $product_value[$k] + $x_value[$j] * $y_value[$i] + $carry;
+                $carry = $class::BASE === 26 ? intval($temp / 0x4000000) : ($temp >> 31);
+                $product_value[$k] = (int) ($temp - $class::BASE_FULL * $carry);
+            }
+
+            if ($k < $stop) {
+                $product_value[$k] = $carry;
+            }
+        }
+
+        return [
+            self::VALUE => self::trim($product_value),
+            self::SIGN => $x_negative != $y_negative
+        ];
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Classic.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Classic.php
new file mode 100644
index 000000000..aef167de9
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Classic.php
@@ -0,0 +1,46 @@
+<?php
+
+/**
+ * PHP Classic Modular Exponentiation Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines\PHP\Reductions;
+
+use phpseclib3\Math\BigInteger\Engines\PHP\Base;
+
+/**
+ * PHP Classic Modular Exponentiation Engine
+ *
+ * @package PHP
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Classic extends Base
+{
+    /**
+     * Regular Division
+     *
+     * @param array $x
+     * @param array $n
+     * @param string $class
+     * @return array
+     */
+    protected static function reduce(array $x, array $n, $class)
+    {
+        $lhs = new $class();
+        $lhs->value = $x;
+        $rhs = new $class();
+        $rhs->value = $n;
+        list(, $temp) = $lhs->divide($rhs);
+        return $temp->value;
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/EvalBarrett.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/EvalBarrett.php
new file mode 100644
index 000000000..7c81071da
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/EvalBarrett.php
@@ -0,0 +1,492 @@
+<?php
+
+/**
+ * PHP Dynamic Barrett Modular Exponentiation Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines\PHP\Reductions;
+
+use phpseclib3\Math\BigInteger\Engines\PHP\Base;
+use phpseclib3\Math\BigInteger\Engines\PHP;
+
+/**
+ * PHP Dynamic Barrett Modular Exponentiation Engine
+ *
+ * @package PHP
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class EvalBarrett extends Base
+{
+    /**
+     * Custom Reduction Function
+     *
+     * @see self::generateCustomReduction
+     */
+    private static $custom_reduction;
+
+    /**
+     * Barrett Modular Reduction
+     *
+     * This calls a dynamically generated loop unrolled function that's specific to a given modulo.
+     * Array lookups are avoided as are if statements testing for how many bits the host OS supports, etc.
+     *
+     * @param array $n
+     * @param array $m
+     * @param string $class
+     * @return array
+     */
+    protected static function reduce(array $n, array $m, $class)
+    {
+        $inline = self::$custom_reduction;
+        return $inline($n);
+    }
+
+    /**
+     * Generate Custom Reduction
+     *
+     * @param PHP $m
+     * @param string $class
+     * @return callable
+     */
+    protected static function generateCustomReduction(PHP $m, $class)
+    {
+        if (isset($n->reduce)) {
+            self::$custom_reduction = $n->reduce;
+            return $n->reduce;
+        }
+
+        $m_length = count($m->value);
+
+        if ($m_length < 5) {
+            $code = '
+                $lhs = new ' . $class . '();
+                $lhs->value = $x;
+                $rhs = new ' . $class . '();
+                $rhs->value = [' .
+                implode(',', array_map('self::float2string', $m->value)) . '];
+                list(, $temp) = $lhs->divide($rhs);
+                return $temp->value;
+            ';
+            eval('$func = function ($x) { ' . $code . '};');
+            self::$custom_reduction = $func;
+            //self::$custom_reduction = \Closure::bind($func, $m, $class);
+            return $func;
+        }
+
+        $lhs = new $class();
+        $lhs_value = &$lhs->value;
+
+        $lhs_value = self::array_repeat(0, $m_length + ($m_length >> 1));
+        $lhs_value[] = 1;
+        $rhs = new $class();
+
+        list($u, $m1) = $lhs->divide($m);
+
+        if ($class::BASE != 26) {
+            $u = $u->value;
+        } else {
+            $lhs_value = self::array_repeat(0, 2 * $m_length);
+            $lhs_value[] = 1;
+            $rhs = new $class();
+
+            list($u) = $lhs->divide($m);
+            $u = $u->value;
+        }
+
+        $m = $m->value;
+        $m1 = $m1->value;
+
+        $cutoff = count($m) + (count($m) >> 1);
+
+        $code = '
+            if (count($n) > ' . (2 * count($m)) . ') {
+                $lhs = new ' . $class . '();
+                $rhs = new ' . $class . '();
+                $lhs->value = $n;
+                $rhs->value = [' .
+                implode(',', array_map('self::float2string', $m)) . '];
+                list(, $temp) = $lhs->divide($rhs);
+                return $temp->value;
+            }
+
+            $lsd = array_slice($n, 0, ' . $cutoff . ');
+            $msd = array_slice($n, ' . $cutoff . ');';
+
+        $code.= self::generateInlineTrim('msd');
+        $code.= self::generateInlineMultiply('msd', $m1, 'temp', $class);
+        $code.= self::generateInlineAdd('lsd', 'temp', 'n', $class);
+
+        $code.= '$temp = array_slice($n, ' . (count($m) - 1) . ');';
+        $code.= self::generateInlineMultiply('temp', $u, 'temp2', $class);
+        $code.= self::generateInlineTrim('temp2');
+
+        $code.= $class::BASE == 26 ?
+            '$temp = array_slice($temp2, ' . (count($m) + 1) . ');' :
+            '$temp = array_slice($temp2, ' . ((count($m) >> 1) + 1) . ');';
+        $code.= self::generateInlineMultiply('temp', $m, 'temp2', $class);
+        $code.= self::generateInlineTrim('temp2');
+
+        /*
+        if ($class::BASE == 26) {
+            $code.= '$n = array_slice($n, 0, ' . (count($m) + 1) . ');
+                     $temp2 = array_slice($temp2, 0, ' . (count($m) + 1) . ');';
+        }
+        */
+
+        $code.= self::generateInlineSubtract2('n', 'temp2', 'temp', $class);
+
+        $subcode = self::generateInlineSubtract1('temp', $m, 'temp2', $class);
+        $subcode.= '$temp = $temp2;';
+
+        $code.= self::generateInlineCompare($m, 'temp', $subcode);
+
+        $code.= 'return $temp;';
+
+        eval('$func = function ($n) { ' . $code . '};');
+
+        self::$custom_reduction = $func;
+
+        return $func;
+
+        //self::$custom_reduction = \Closure::bind($func, $m, $class);
+    }
+
+    /**
+     * Inline Trim
+     *
+     * Removes leading zeros
+     *
+     * @param string $name
+     * @return string
+     */
+    private static function generateInlineTrim($name)
+    {
+        return '
+            for ($i = count($' . $name . ') - 1; $i >= 0; --$i) {
+                if ($' . $name . '[$i]) {
+                    break;
+                }
+                unset($' . $name . '[$i]);
+            }';
+    }
+
+    /**
+     * Inline Multiply (unknown, known)
+     *
+     * @param string $input
+     * @param array $arr
+     * @param string $output
+     * @param string $class
+     * @return string
+     */
+    private static function generateInlineMultiply($input, array $arr, $output, $class)
+    {
+        if (!count($arr)) {
+            return 'return [];';
+        }
+
+        $regular = '
+            $length = count($' . $input . ');
+            if (!$length) {
+                $' . $output . ' = [];
+            }else{
+            $' . $output . ' = array_fill(0, $length + ' . count($arr) . ', 0);
+            $carry = 0;';
+
+            for ($i = 0; $i < count($arr); $i++) {
+            $regular.= '
+                $subtemp = $' . $input . '[0] * ' . $arr[$i];
+            $regular.= $i ? ' + $carry;' : ';';
+
+            $regular.= '$carry = ';
+            $regular.= $class::BASE === 26 ?
+                'intval($subtemp / 0x4000000);' :
+                '$subtemp >> 31;';
+            $regular.=
+                '$' . $output . '[' . $i . '] = ';
+            if ($class::BASE === 26) {
+                $regular.= '(int) (';
+            }
+            $regular.= '$subtemp - ' . $class::BASE_FULL . ' * $carry';
+            $regular.= $class::BASE === 26 ? ');' : ';';
+        }
+
+        $regular.= '$' . $output . '[' . count($arr) . '] = $carry;';
+
+        $regular.= '
+            for ($i = 1; $i < $length; ++$i) {';
+
+        for ($j = 0; $j < count($arr); $j++) {
+            $regular.= $j ? '$k++;' : '$k = $i;';
+            $regular.= '
+                $subtemp = $' . $output . '[$k] + $' . $input . '[$i] * ' . $arr[$j];
+            $regular.= $j ? ' + $carry;' : ';';
+
+            $regular.= '$carry = ';
+            $regular.= $class::BASE === 26 ?
+                'intval($subtemp / 0x4000000);' :
+                '$subtemp >> 31;';
+            $regular.=
+                '$' . $output . '[$k] = ';
+            if ($class::BASE === 26) {
+                $regular.= '(int) (';
+            }
+            $regular.= '$subtemp - ' . $class::BASE_FULL . ' * $carry';
+            $regular.= $class::BASE === 26 ? ');' : ';';
+        }
+
+        $regular.= '$' . $output. '[++$k] = $carry; $carry = 0;';
+
+        $regular.= '}}';
+
+        //if (count($arr) < 2 * self::KARATSUBA_CUTOFF) {
+        //}
+
+        return $regular;
+    }
+
+    /**
+     * Inline Addition
+     *
+     * @param string $x
+     * @param string $y
+     * @param string $result
+     * @param string $class
+     * @return string
+     */
+    private static function generateInlineAdd($x, $y, $result, $class)
+    {
+        $code = '
+            $length = max(count($' . $x . '), count($' . $y . '));
+            $' . $result . ' = array_pad($' . $x . ', $length + 1, 0);
+            $_' . $y . ' = array_pad($' . $y . ', $length, 0);
+            $carry = 0;
+            for ($i = 0, $j = 1; $j < $length; $i+=2, $j+=2) {
+                $sum = ($' . $result . '[$j] + $_' . $y . '[$j]) * ' . $class::BASE_FULL . '
+                           + $' . $result . '[$i] + $_' . $y . '[$i] +
+                           $carry;
+                $carry = $sum >= ' . self::float2string($class::MAX_DIGIT2) . ';
+                $sum = $carry ? $sum - ' . self::float2string($class::MAX_DIGIT2) . ' : $sum;';
+
+            $code.= $class::BASE === 26 ?
+                '$upper = intval($sum / 0x4000000); $' . $result . '[$i] = (int) ($sum - ' . $class::BASE_FULL . ' * $upper);' :
+                '$upper = $sum >> 31; $' . $result . '[$i] = $sum - ' . $class::BASE_FULL . ' * $upper;';
+            $code.= '
+                $' . $result . '[$j] = $upper;
+            }
+            if ($j == $length) {
+                $sum = $' . $result . '[$i] + $_' . $y . '[$i] + $carry;
+                $carry = $sum >= ' . self::float2string($class::BASE_FULL) . ';
+                $' . $result . '[$i] = $carry ? $sum - ' . self::float2string($class::BASE_FULL) . ' : $sum;
+            }
+            if ($carry) {
+                for (; $' . $result . '[$i] == ' . $class::MAX_DIGIT . '; ++$i) {
+                    $' . $result . '[$i] = 0;
+                }
+                ++$' . $result . '[$i];
+            }';
+            $code.= self::generateInlineTrim($result);
+
+            return $code;
+    }
+
+    /**
+     * Inline Subtraction 2
+     *
+     * For when $known is more digits than $unknown. This is the harder use case to optimize for.
+     *
+     * @param string $known
+     * @param string $unknown
+     * @param string $result
+     * @param string $class
+     * @return string
+     */
+    private static function generateInlineSubtract2($known, $unknown, $result, $class)
+    {
+        $code = '
+            $' . $result .' = $' . $known . ';
+            $carry = 0;
+            $size = count($' . $unknown . ');
+            for ($i = 0, $j = 1; $j < $size; $i+= 2, $j+= 2) {
+                $sum = ($' . $known . '[$j] - $' . $unknown . '[$j]) * ' . $class::BASE_FULL . ' + $' . $known . '[$i]
+                    - $' . $unknown . '[$i]
+                    - $carry;
+                $carry = $sum < 0;
+                if ($carry) {
+                    $sum+= ' . self::float2string($class::MAX_DIGIT2) . ';
+                }
+                $subtemp = ';
+        $code.= $class::BASE === 26 ?
+            'intval($sum / 0x4000000);' :
+            '$sum >> 31;';
+        $code.= '$' . $result . '[$i] = ';
+        if ($class::BASE === 26) {
+            $code.= '(int) (';
+        }
+        $code.= '$sum - ' . $class::BASE_FULL . ' * $subtemp';
+        if ($class::BASE === 26) {
+            $code.= ')';
+        }
+        $code.= ';
+                $' . $result . '[$j] = $subtemp;
+            }
+            if ($j == $size) {
+                $sum = $' . $known . '[$i] - $' . $unknown . '[$i] - $carry;
+                $carry = $sum < 0;
+                $' . $result . '[$i] = $carry ? $sum + ' . $class::BASE_FULL . ' : $sum;
+                ++$i;
+            }
+
+            if ($carry) {
+                for (; !$' . $result . '[$i]; ++$i) {
+                    $' . $result . '[$i] = ' . $class::MAX_DIGIT . ';
+                }
+                --$' . $result . '[$i];
+            }';
+
+        $code.= self::generateInlineTrim($result);
+
+        return $code;
+    }
+
+    /**
+     * Inline Subtraction 1
+     *
+     * For when $unknown is more digits than $known. This is the easier use case to optimize for.
+     *
+     * @param string $unknown
+     * @param array $known
+     * @param string $result
+     * @param string $class
+     * @return string
+     */
+    private static function generateInlineSubtract1($unknown, array $known, $result, $class)
+    {
+        $code = '$' . $result . ' = $' . $unknown . ';';
+        for ($i = 0, $j = 1; $j < count($known); $i+=2, $j+=2) {
+            $code.= '$sum = $' . $unknown . '[' . $j . '] * ' . $class::BASE_FULL . ' + $' . $unknown . '[' . $i . '] - ';
+            $code.= self::float2string($known[$j] * $class::BASE_FULL + $known[$i]);
+            if ($i != 0) {
+                $code.= ' - $carry';
+            }
+
+            $code.= ';
+                if ($carry = $sum < 0) {
+                    $sum+= ' . self::float2string($class::MAX_DIGIT2) . ';
+                }
+                $subtemp = ';
+            $code.= $class::BASE === 26 ?
+                'intval($sum / 0x4000000);' :
+                '$sum >> 31;';
+            $code.= '
+                $' . $result . '[' . $i . '] = ';
+            if ($class::BASE === 26) {
+                $code.= ' (int) (';
+            }
+            $code.= '$sum - ' . $class::BASE_FULL . ' * $subtemp';
+            if ($class::BASE === 26) {
+                $code.= ')';
+            }
+            $code.= ';
+                $' . $result . '[' . $j . '] = $subtemp;';
+        }
+
+        $code.= '$i = ' . $i . ';';
+
+        if ($j == count($known)) {
+            $code.= '
+                $sum = $' . $unknown . '[' . $i . '] - ' . $known[$i] . ' - $carry;
+                $carry = $sum < 0;
+                $' . $result . '[' . $i . '] = $carry ? $sum + ' . $class::BASE_FULL . ' : $sum;
+                ++$i;';
+        }
+
+        $code.= '
+            if ($carry) {
+                for (; !$' . $result . '[$i]; ++$i) {
+                    $' . $result . '[$i] = ' . $class::MAX_DIGIT . ';
+                }
+                --$' . $result . '[$i];
+            }';
+        $code.= self::generateInlineTrim($result);
+
+        return $code;
+    }
+
+    /**
+     * Inline Comparison
+     *
+     * If $unknown >= $known then loop
+     *
+     * @param array $known
+     * @param string $unknown
+     * @param string $subcode
+     * @return string
+     */
+    private static function generateInlineCompare(array $known, $unknown, $subcode)
+    {
+        $uniqid = uniqid();
+        $code = 'loop_' . $uniqid . ':
+            $clength = count($' . $unknown . ');
+            switch (true) {
+                case $clength < ' . count($known) . ':
+                    goto end_' . $uniqid . ';
+                case $clength > ' . count($known) . ':';
+        for ($i = count($known) - 1; $i >= 0; $i--) {
+            $code.= '
+                case $' . $unknown . '[' . $i . '] > ' . $known[$i] . ':
+                    goto subcode_' . $uniqid . ';
+                case $' . $unknown . '[' . $i . '] < ' . $known[$i] . ':
+                    goto end_' . $uniqid . ';';
+        }
+        $code.= '
+                default:
+                    // do subcode
+            }
+
+            subcode_' . $uniqid . ':' . $subcode . '
+            goto loop_' . $uniqid . ';
+
+            end_' . $uniqid . ':';
+
+        return $code;
+    }
+
+    /**
+     * Convert a float to a string
+     *
+     * If you do echo floatval(pow(2, 52)) you'll get 4.6116860184274E+18. It /can/ be displayed without a loss of
+     * precision but displayed in this way there will be precision loss, hence the need for this method.
+     *
+     * @param int|float $num
+     * @return string
+     */
+    private static function float2string($num)
+    {
+        if (!is_float($num)) {
+            return $num;
+        }
+
+        if ($num < 0) {
+            return '-' . self::float2string(abs($num));
+        }
+
+        $temp = '';
+        while ($num) {
+            $temp = fmod($num, 10) . $temp;
+            $num = floor($num / 10);
+        }
+
+        return $temp;
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Montgomery.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Montgomery.php
new file mode 100644
index 000000000..79db314d6
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Montgomery.php
@@ -0,0 +1,130 @@
+<?php
+
+/**
+ * PHP Montgomery Modular Exponentiation Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines\PHP\Reductions;
+
+use phpseclib3\Math\BigInteger\Engines\PHP\Montgomery as Progenitor;
+
+/**
+ * PHP Montgomery Modular Exponentiation Engine
+ *
+ * @package PHP
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Montgomery extends Progenitor
+{
+    /**
+     * Prepare a number for use in Montgomery Modular Reductions
+     *
+     * @param array $x
+     * @param array $n
+     * @param string $class
+     * @return array
+     */
+    protected static function prepareReduce(array $x, array $n, $class)
+    {
+        $lhs = new $class();
+        $lhs->value = array_merge(self::array_repeat(0, count($n)), $x);
+        $rhs = new $class();
+        $rhs->value = $n;
+
+        list(, $temp) = $lhs->divide($rhs);
+        return $temp->value;
+    }
+
+    /**
+     * Montgomery Multiply
+     *
+     * Interleaves the montgomery reduction and long multiplication algorithms together as described in
+     * {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=13 HAC 14.36}
+     *
+     * @param array $x
+     * @param array $n
+     * @param string $class
+     * @return array
+     */
+    protected static function reduce(array $x, array $n, $class)
+    {
+        static $cache = [
+            self::VARIABLE => [],
+            self::DATA => []
+        ];
+
+        if (($key = array_search($n, $cache[self::VARIABLE])) === false) {
+            $key = count($cache[self::VARIABLE]);
+            $cache[self::VARIABLE][] = $x;
+            $cache[self::DATA][] = self::modInverse67108864($n, $class);
+        }
+
+        $k = count($n);
+
+        $result = [self::VALUE => $x];
+
+        for ($i = 0; $i < $k; ++$i) {
+            $temp = $result[self::VALUE][$i] * $cache[self::DATA][$key];
+            $temp = $temp - $class::BASE_FULL * ($class::BASE === 26 ? intval($temp / 0x4000000) : ($temp >> 31));
+            $temp = $class::regularMultiply([$temp], $n);
+            $temp = array_merge(self::array_repeat(0, $i), $temp);
+            $result = $class::addHelper($result[self::VALUE], false, $temp, false);
+        }
+
+        $result[self::VALUE] = array_slice($result[self::VALUE], $k);
+
+        if (self::compareHelper($result, false, $n, false) >= 0) {
+            $result = $class::subtractHelper($result[self::VALUE], false, $n, false);
+        }
+
+        return $result[self::VALUE];
+    }
+
+    /**
+     * Modular Inverse of a number mod 2**26 (eg. 67108864)
+     *
+     * Based off of the bnpInvDigit function implemented and justified in the following URL:
+     *
+     * {@link http://www-cs-students.stanford.edu/~tjw/jsbn/jsbn.js}
+     *
+     * The following URL provides more info:
+     *
+     * {@link http://groups.google.com/group/sci.crypt/msg/7a137205c1be7d85}
+     *
+     * As for why we do all the bitmasking...  strange things can happen when converting from floats to ints. For
+     * instance, on some computers, var_dump((int) -4294967297) yields int(-1) and on others, it yields
+     * int(-2147483648).  To avoid problems stemming from this, we use bitmasks to guarantee that ints aren't
+     * auto-converted to floats.  The outermost bitmask is present because without it, there's no guarantee that
+     * the "residue" returned would be the so-called "common residue".  We use fmod, in the last step, because the
+     * maximum possible $x is 26 bits and the maximum $result is 16 bits.  Thus, we have to be able to handle up to
+     * 40 bits, which only 64-bit floating points will support.
+     *
+     * Thanks to Pedro Gimeno Fortea for input!
+     *
+     * @param array $x
+     * @param string $class
+     * @return int
+     */
+    protected static function modInverse67108864(array $x, $class) // 2**26 == 67,108,864
+    {
+        $x = -$x[0];
+        $result = $x & 0x3; // x**-1 mod 2**2
+        $result = ($result * (2 - $x * $result)) & 0xF; // x**-1 mod 2**4
+        $result = ($result * (2 - ($x & 0xFF) * $result))  & 0xFF; // x**-1 mod 2**8
+        $result = ($result * ((2 - ($x & 0xFFFF) * $result) & 0xFFFF)) & 0xFFFF; // x**-1 mod 2**16
+        $result = $class::BASE == 26 ?
+            fmod($result * (2 - fmod($x * $result, $class::BASE_FULL)), $class::BASE_FULL) : // x**-1 mod 2**26
+            ($result * (2 - ($x * $result) % $class::BASE_FULL)) % $class::BASE_FULL;
+        return $result & $class::MAX_DIGIT;
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/MontgomeryMult.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/MontgomeryMult.php
new file mode 100644
index 000000000..31e8af211
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/MontgomeryMult.php
@@ -0,0 +1,81 @@
+<?php
+
+/**
+ * PHP Montgomery Modular Exponentiation Engine with interleaved multiplication
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines\PHP\Reductions;
+
+use phpseclib3\Math\BigInteger\Engines\PHP\Base;
+
+/**
+ * PHP Montgomery Modular Exponentiation Engine with interleaved multiplication
+ *
+ * @package PHP
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class MontgomeryMult extends Montgomery
+{
+    /**
+     * Montgomery Multiply
+     *
+     * Interleaves the montgomery reduction and long multiplication algorithms together as described in
+     * {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=13 HAC 14.36}
+     *
+     * @see self::_prepMontgomery()
+     * @see self::_montgomery()
+     * @access private
+     * @param array $x
+     * @param array $y
+     * @param array $m
+     * @param string $class
+     * @return array
+     */
+    public static function multiplyReduce(array $x, array $y, array $m, $class)
+    {
+        // the following code, although not callable, can be run independently of the above code
+        // although the above code performed better in my benchmarks the following could might
+        // perform better under different circumstances. in lieu of deleting it it's just been
+        // made uncallable
+
+        static $cache = [
+            self::VARIABLE => [],
+            self::DATA => []
+        ];
+
+        if (($key = array_search($m, $cache[self::VARIABLE])) === false) {
+            $key = count($cache[self::VARIABLE]);
+            $cache[self::VARIABLE][] = $m;
+            $cache[self::DATA][] = self::modInverse67108864($m, $class);
+        }
+
+        $n = max(count($x), count($y), count($m));
+        $x = array_pad($x, $n, 0);
+        $y = array_pad($y, $n, 0);
+        $m = array_pad($m, $n, 0);
+        $a = [self::VALUE => self::array_repeat(0, $n + 1)];
+        for ($i = 0; $i < $n; ++$i) {
+            $temp = $a[self::VALUE][0] + $x[$i] * $y[0];
+            $temp = $temp - $class::BASE_FULL * ($class::BASE === 26 ? intval($temp / 0x4000000) : ($temp >> 31));
+            $temp = $temp * $cache[self::DATA][$key];
+            $temp = $temp - $class::BASE_FULL * ($class::BASE === 26 ? intval($temp / 0x4000000) : ($temp >> 31));
+            $temp = $class::addHelper($class::regularMultiply([$x[$i]], $y), false, $class::regularMultiply([$temp], $m), false);
+            $a = $class::addHelper($a[self::VALUE], false, $temp[self::VALUE], false);
+            $a[self::VALUE] = array_slice($a[self::VALUE], 1);
+        }
+        if (self::compareHelper($a[self::VALUE], false, $m, false) >= 0) {
+            $a = $class::subtractHelper($a[self::VALUE], false, $m, false);
+        }
+        return $a[self::VALUE];
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/PowerOfTwo.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/PowerOfTwo.php
new file mode 100644
index 000000000..73f133d06
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/PowerOfTwo.php
@@ -0,0 +1,63 @@
+<?php
+
+/**
+ * PHP Power of Two Modular Exponentiation Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines\PHP\Reductions;
+
+use phpseclib3\Math\BigInteger\Engines\PHP\Base;
+
+/**
+ * PHP Power Of Two Modular Exponentiation Engine
+ *
+ * @package PHP
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class PowerOfTwo extends Base
+{
+    /**
+     * Prepare a number for use in Montgomery Modular Reductions
+     *
+     * @param array $x
+     * @param array $n
+     * @param string $class
+     * @return array
+     */
+    protected static function prepareReduce(array $x, array $n, $class)
+    {
+        return self::reduce($x, $n, $class);
+    }
+
+    /**
+     * Power Of Two Reduction
+     *
+     * @param array $x
+     * @param array $n
+     * @param string $class
+     * @return array
+     */
+    protected static function reduce(array $x, array $n, $class)
+    {
+        $lhs = new $class();
+        $lhs->value = $x;
+        $rhs = new $class();
+        $rhs->value = $n;
+
+        $temp = new $class();
+        $temp->value = [1];
+
+        $result = $lhs->bitwise_and($rhs->subtract($temp));
+        return $result->value;
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP32.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP32.php
new file mode 100644
index 000000000..a1b4a7a50
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP32.php
@@ -0,0 +1,418 @@
+<?php
+
+/**
+ * Pure-PHP 32-bit BigInteger Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines;
+
+use ParagonIE\ConstantTime\Hex;
+
+/**
+ * Pure-PHP 32-bit Engine.
+ *
+ * Uses 64-bit floats if int size is 4 bits
+ *
+ * @package PHP32
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class PHP32 extends PHP
+{
+    // Constants used by PHP.php
+    const BASE = 26;
+    const BASE_FULL = 0x4000000;
+    const MAX_DIGIT = 0x3FFFFFF;
+    const MSB = 0x2000000;
+
+    /**
+     * MAX10 in greatest MAX10LEN satisfying
+     * MAX10 = 10**MAX10LEN <= 2**BASE.
+     */
+    const MAX10 = 10000000;
+
+    /**
+     * MAX10LEN in greatest MAX10LEN satisfying
+     * MAX10 = 10**MAX10LEN <= 2**BASE.
+     */
+    const MAX10LEN = 7;
+    const MAX_DIGIT2 = 4503599627370496;
+    /**#@-*/
+
+    /**
+     * Modular Exponentiation Engine
+     *
+     * @var string
+     */
+    protected static $modexpEngine;
+
+    /**
+     * Engine Validity Flag
+     *
+     * @var bool
+     */
+    protected static $isValidEngine;
+
+    /**
+     * Primes > 2 and < 1000
+     *
+     * @var array
+     */
+    protected static $primes;
+
+    /**
+     * BigInteger(0)
+     *
+     * @var \phpseclib3\Math\BigInteger\Engines\PHP32
+     */
+    protected static $zero;
+
+    /**
+     * BigInteger(1)
+     *
+     * @var \phpseclib3\Math\BigInteger\Engines\PHP32
+     */
+    protected static $one;
+
+    /**
+     * BigInteger(2)
+     *
+     * @var \phpseclib3\Math\BigInteger\Engines\PHP32
+     */
+    protected static $two;
+
+    /**
+     * Initialize a PHP32 BigInteger Engine instance
+     *
+     * @param int $base
+     * @see parent::initialize()
+     */
+    protected function initialize($base)
+    {
+        if ($base != 256 && $base != -256) {
+            return parent::initialize($base);
+        }
+
+        $val = $this->value;
+        $this->value = [];
+        $vals = &$this->value;
+        $i = strlen($val);
+        if (!$i) {
+            return;
+        }
+
+        while (true) {
+            $i-= 4;
+            if ($i < 0) {
+                if ($i == -4) {
+                    break;
+                }
+                $val = substr($val, 0, 4 + $i);
+                $val = str_pad($val, 4, "\0", STR_PAD_LEFT);
+                if ($val == "\0\0\0\0") {
+                    break;
+                }
+                $i = 0;
+            }
+            list(, $digit) = unpack('N', substr($val, $i, 4));
+            $step = count($vals) & 3;
+            if ($step) {
+                $digit>>= 2 * $step;
+            }
+            if ($step != 3) {
+                $digit&= static::MAX_DIGIT;
+                $i++;
+            }
+            $vals[] = $digit;
+        }
+        while (end($vals) === 0) {
+            array_pop($vals);
+        }
+        reset($vals);
+    }
+
+    /**
+     * Test for engine validity
+     *
+     * @see parent::__construct()
+     * @return bool
+     */
+    public static function isValidEngine()
+    {
+        return PHP_INT_SIZE >= 4;
+    }
+
+    /**
+     * Adds two BigIntegers.
+     *
+     * @param PHP32 $y
+     * @return PHP32
+     */
+    public function add(PHP32 $y)
+    {
+        $temp = self::addHelper($this->value, $this->is_negative, $y->value, $y->is_negative);
+
+        return $this->convertToObj($temp);
+    }
+
+    /**
+     * Subtracts two BigIntegers.
+     *
+     * @param PHP32 $y
+     * @return PHP32
+     */
+    public function subtract(PHP32 $y)
+    {
+        $temp = self::subtractHelper($this->value, $this->is_negative, $y->value, $y->is_negative);
+
+        return $this->convertToObj($temp);
+    }
+
+    /**
+     * Multiplies two BigIntegers.
+     *
+     * @param PHP32 $y
+     * @return PHP32
+     */
+    public function multiply(PHP32 $y)
+    {
+        $temp = self::multiplyHelper($this->value, $this->is_negative, $y->value, $y->is_negative);
+
+        return $this->convertToObj($temp);
+    }
+
+    /**
+     * Divides two BigIntegers.
+     *
+     * Returns an array whose first element contains the quotient and whose second element contains the
+     * "common residue".  If the remainder would be positive, the "common residue" and the remainder are the
+     * same.  If the remainder would be negative, the "common residue" is equal to the sum of the remainder
+     * and the divisor (basically, the "common residue" is the first positive modulo).
+     *
+     * @param PHP32 $y
+     * @return PHP32
+     */
+    public function divide(PHP32 $y)
+    {
+        return $this->divideHelper($y);
+    }
+
+    /**
+     * Calculates modular inverses.
+     *
+     * Say you have (30 mod 17 * x mod 17) mod 17 == 1.  x can be found using modular inverses.
+     * @param PHP32 $n
+     * @return false|PHP32
+     */
+    public function modInverse(PHP32 $n)
+    {
+        return $this->modInverseHelper($n);
+    }
+
+    /**
+     * Calculates modular inverses.
+     *
+     * Say you have (30 mod 17 * x mod 17) mod 17 == 1.  x can be found using modular inverses.
+     * @param PHP32 $n
+     * @return PHP32[]
+     */
+    public function extendedGCD(PHP32 $n)
+    {
+        return $this->extendedGCDHelper($n);
+    }
+
+    /**
+     * Calculates the greatest common divisor
+     *
+     * Say you have 693 and 609.  The GCD is 21.
+     *
+     * @param PHP32 $n
+     * @return PHP32
+     */
+    public function gcd(PHP32 $n)
+    {
+        return $this->extendedGCD($n)['gcd'];
+    }
+
+    /**
+     * Logical And
+     *
+     * @param PHP32 $x
+     * @return PHP32
+     */
+    public function bitwise_and(PHP32 $x)
+    {
+        return $this->bitwiseAndHelper($x);
+    }
+
+    /**
+     * Logical Or
+     *
+     * @param PHP32 $x
+     * @return PHP32
+     */
+    public function bitwise_or(PHP32 $x)
+    {
+        return $this->bitwiseOrHelper($x);
+    }
+
+    /**
+     * Logical Exclusive Or
+     *
+     * @param PHP32 $x
+     * @return PHP32
+     */
+    public function bitwise_xor(PHP32 $x)
+    {
+        return $this->bitwiseXorHelper($x);
+    }
+
+    /**
+     * Compares two numbers.
+     *
+     * Although one might think !$x->compare($y) means $x != $y, it, in fact, means the opposite.  The reason for this is
+     * demonstrated thusly:
+     *
+     * $x  > $y: $x->compare($y)  > 0
+     * $x  < $y: $x->compare($y)  < 0
+     * $x == $y: $x->compare($y) == 0
+     *
+     * Note how the same comparison operator is used.  If you want to test for equality, use $x->equals($y).
+     *
+     * {@internal Could return $this->subtract($x), but that's not as fast as what we do do.}
+     *
+     * @param PHP32 $y
+     * @return int in case < 0 if $this is less than $y; > 0 if $this is greater than $y, and 0 if they are equal.
+     * @access public
+     * @see self::equals()
+     */
+    public function compare(PHP32 $y)
+    {
+        return $this->compareHelper($this->value, $this->is_negative, $y->value, $y->is_negative);
+    }
+
+    /**
+     * Tests the equality of two numbers.
+     *
+     * If you need to see if one number is greater than or less than another number, use BigInteger::compare()
+     *
+     * @param PHP32 $x
+     * @return bool
+     */
+    public function equals(PHP32 $x)
+    {
+        return $this->value === $x->value && $this->is_negative == $x->is_negative;
+    }
+
+    /**
+     * Performs modular exponentiation.
+     *
+     * @param PHP32 $e
+     * @param PHP32 $n
+     * @return PHP32
+     */
+    public function modPow(PHP32 $e, PHP32 $n)
+    {
+        return $this->powModOuter($e, $n);
+    }
+
+    /**
+     * Performs modular exponentiation.
+     *
+     * Alias for modPow().
+     *
+     * @param PHP32 $e
+     * @param PHP32 $n
+     * @return PHP32
+     */
+    public function powMod(PHP32 $e, PHP32 $n)
+    {
+        return $this->powModOuter($e, $n);
+    }
+
+    /**
+     * Generate a random prime number between a range
+     *
+     * If there's not a prime within the given range, false will be returned.
+     *
+     * @param PHP32 $min
+     * @param PHP32 $max
+     * @return false|PHP32
+     */
+    public static function randomRangePrime(PHP32 $min, PHP32 $max)
+    {
+        return self::randomRangePrimeOuter($min, $max);
+    }
+
+    /**
+     * Generate a random number between a range
+     *
+     * Returns a random number between $min and $max where $min and $max
+     * can be defined using one of the two methods:
+     *
+     * BigInteger::randomRange($min, $max)
+     * BigInteger::randomRange($max, $min)
+     *
+     * @param PHP32 $min
+     * @param PHP32 $max
+     * @return PHP32
+     */
+    public static function randomRange(PHP32 $min, PHP32 $max)
+    {
+        return self::randomRangeHelper($min, $max);
+    }
+
+    /**
+     * Performs exponentiation.
+     *
+     * @param PHP32 $n
+     * @return PHP32
+     */
+    public function pow(PHP32 $n)
+    {
+        return $this->powHelper($n);
+    }
+
+    /**
+     * Return the minimum BigInteger between an arbitrary number of BigIntegers.
+     *
+     * @param PHP32 ...$nums
+     * @return PHP32
+     */
+    public static function min(PHP32 ...$nums)
+    {
+        return self::minHelper($nums);
+    }
+
+    /**
+     * Return the maximum BigInteger between an arbitrary number of BigIntegers.
+     *
+     * @param PHP32 ...$nums
+     * @return PHP32
+     */
+    public static function max(PHP32 ...$nums)
+    {
+        return self::maxHelper($nums);
+    }
+
+    /**
+     * Tests BigInteger to see if it is between two integers, inclusive
+     *
+     * @param PHP32 $min
+     * @param PHP32 $max
+     * @return bool
+     */
+    public function between(PHP32 $min, PHP32 $max)
+    {
+        return $this->compare($min) >= 0 && $this->compare($max) <= 0;
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP64.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP64.php
new file mode 100644
index 000000000..42d1982d9
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP64.php
@@ -0,0 +1,422 @@
+<?php
+
+/**
+ * Pure-PHP 64-bit BigInteger Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math\BigInteger\Engines;
+
+use ParagonIE\ConstantTime\Hex;
+
+/**
+ * Pure-PHP 64-bit Engine.
+ *
+ * Uses 64-bit integers if int size is 8 bits
+ *
+ * @package PHP
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class PHP64 extends PHP
+{
+    // Constants used by PHP.php
+    const BASE = 31;
+    const BASE_FULL = 0x80000000;
+    const MAX_DIGIT = 0x7FFFFFFF;
+    const MSB = 0x40000000;
+
+    /**
+     * MAX10 in greatest MAX10LEN satisfying
+     * MAX10 = 10**MAX10LEN <= 2**BASE.
+     */
+    const MAX10 = 1000000000;
+
+    /**
+     * MAX10LEN in greatest MAX10LEN satisfying
+     * MAX10 = 10**MAX10LEN <= 2**BASE.
+     */
+    const MAX10LEN = 9;
+    const MAX_DIGIT2 = 4611686018427387904;
+    /**#@-*/
+
+    /**
+     * Modular Exponentiation Engine
+     *
+     * @var string
+     */
+    protected static $modexpEngine;
+
+    /**
+     * Engine Validity Flag
+     *
+     * @var bool
+     */
+    protected static $isValidEngine;
+
+    /**
+     * Primes > 2 and < 1000
+     *
+     * @var array
+     */
+    protected static $primes;
+
+    /**
+     * BigInteger(0)
+     *
+     * @var \phpseclib3\Math\BigInteger\Engines\PHP64
+     */
+    protected static $zero;
+
+    /**
+     * BigInteger(1)
+     *
+     * @var \phpseclib3\Math\BigInteger\Engines\PHP64
+     */
+    protected static $one;
+
+    /**
+     * BigInteger(2)
+     *
+     * @var \phpseclib3\Math\BigInteger\Engines\PHP64
+     */
+    protected static $two;
+
+    /**
+     * Initialize a PHP64 BigInteger Engine instance
+     *
+     * @param int $base
+     * @see parent::initialize()
+     */
+    protected function initialize($base)
+    {
+        if ($base != 256 && $base != -256) {
+            return parent::initialize($base);
+        }
+
+        $val = $this->value;
+        $this->value = [];
+        $vals = &$this->value;
+        $i = strlen($val);
+        if (!$i) {
+            return;
+        }
+
+        while (true) {
+            $i-= 4;
+            if ($i < 0) {
+                if ($i == -4) {
+                    break;
+                }
+                $val = substr($val, 0, 4 + $i);
+                $val = str_pad($val, 4, "\0", STR_PAD_LEFT);
+                if ($val == "\0\0\0\0") {
+                    break;
+                }
+                $i = 0;
+            }
+            list(, $digit) = unpack('N', substr($val, $i, 4));
+            $step = count($vals) & 7;
+            if (!$step) {
+                $digit&= static::MAX_DIGIT;
+                $i++;
+            } else {
+                $shift = 8 - $step;
+                $digit>>= $shift;
+                $shift = 32 - $shift;
+                $digit&= (1 << $shift) - 1;
+                $temp = $i > 0 ? ord($val[$i - 1]) : 0;
+                $digit|= ($temp << $shift) & 0x7F000000;
+            }
+            $vals[] = $digit;
+        }
+        while (end($vals) === 0) {
+            array_pop($vals);
+        }
+        reset($vals);
+    }
+
+    /**
+     * Test for engine validity
+     *
+     * @see parent::__construct()
+     * @return bool
+     */
+    public static function isValidEngine()
+    {
+        return PHP_INT_SIZE >= 8;
+    }
+
+    /**
+     * Adds two BigIntegers.
+     *
+     * @param PHP64 $y
+     * @return PHP64
+     */
+    public function add(PHP64 $y)
+    {
+        $temp = self::addHelper($this->value, $this->is_negative, $y->value, $y->is_negative);
+
+        return $this->convertToObj($temp);
+    }
+
+    /**
+     * Subtracts two BigIntegers.
+     *
+     * @param PHP64 $y
+     * @return PHP64
+     */
+    public function subtract(PHP64 $y)
+    {
+        $temp = self::subtractHelper($this->value, $this->is_negative, $y->value, $y->is_negative);
+
+        return $this->convertToObj($temp);
+    }
+
+    /**
+     * Multiplies two BigIntegers.
+     *
+     * @param PHP64 $y
+     * @return PHP64
+     */
+    public function multiply(PHP64 $y)
+    {
+        $temp = self::multiplyHelper($this->value, $this->is_negative, $y->value, $y->is_negative);
+
+        return $this->convertToObj($temp);
+    }
+
+    /**
+     * Divides two BigIntegers.
+     *
+     * Returns an array whose first element contains the quotient and whose second element contains the
+     * "common residue".  If the remainder would be positive, the "common residue" and the remainder are the
+     * same.  If the remainder would be negative, the "common residue" is equal to the sum of the remainder
+     * and the divisor (basically, the "common residue" is the first positive modulo).
+     *
+     * @param PHP64 $y
+     * @return PHP64
+     */
+    public function divide(PHP64 $y)
+    {
+        return $this->divideHelper($y);
+    }
+
+    /**
+     * Calculates modular inverses.
+     *
+     * Say you have (30 mod 17 * x mod 17) mod 17 == 1.  x can be found using modular inverses.
+     * @param PHP64 $n
+     * @return false|PHP64
+     */
+    public function modInverse(PHP64 $n)
+    {
+        return $this->modInverseHelper($n);
+    }
+
+    /**
+     * Calculates modular inverses.
+     *
+     * Say you have (30 mod 17 * x mod 17) mod 17 == 1.  x can be found using modular inverses.
+     * @param PHP64 $n
+     * @return PHP64[]
+     */
+    public function extendedGCD(PHP64 $n)
+    {
+        return $this->extendedGCDHelper($n);
+    }
+
+    /**
+     * Calculates the greatest common divisor
+     *
+     * Say you have 693 and 609.  The GCD is 21.
+     *
+     * @param PHP64 $n
+     * @return PHP64
+     */
+    public function gcd(PHP64 $n)
+    {
+        return $this->extendedGCD($n)['gcd'];
+    }
+
+    /**
+     * Logical And
+     *
+     * @param PHP64 $x
+     * @return PHP64
+     */
+    public function bitwise_and(PHP64 $x)
+    {
+        return $this->bitwiseAndHelper($x);
+    }
+
+    /**
+     * Logical Or
+     *
+     * @param PHP64 $x
+     * @return PHP64
+     */
+    public function bitwise_or(PHP64 $x)
+    {
+        return $this->bitwiseOrHelper($x);
+    }
+
+    /**
+     * Logical Exclusive Or
+     *
+     * @param PHP64 $x
+     * @return PHP64
+     */
+    public function bitwise_xor(PHP64 $x)
+    {
+        return $this->bitwiseXorHelper($x);
+    }
+
+    /**
+     * Compares two numbers.
+     *
+     * Although one might think !$x->compare($y) means $x != $y, it, in fact, means the opposite.  The reason for this is
+     * demonstrated thusly:
+     *
+     * $x  > $y: $x->compare($y)  > 0
+     * $x  < $y: $x->compare($y)  < 0
+     * $x == $y: $x->compare($y) == 0
+     *
+     * Note how the same comparison operator is used.  If you want to test for equality, use $x->equals($y).
+     *
+     * {@internal Could return $this->subtract($x), but that's not as fast as what we do do.}
+     *
+     * @param PHP64 $y
+     * @return int in case < 0 if $this is less than $y; > 0 if $this is greater than $y, and 0 if they are equal.
+     * @access public
+     * @see self::equals()
+     */
+    public function compare(PHP64 $y)
+    {
+        return parent::compareHelper($this->value, $this->is_negative, $y->value, $y->is_negative);
+    }
+
+    /**
+     * Tests the equality of two numbers.
+     *
+     * If you need to see if one number is greater than or less than another number, use BigInteger::compare()
+     *
+     * @param PHP64 $x
+     * @return bool
+     */
+    public function equals(PHP64 $x)
+    {
+        return $this->value === $x->value && $this->is_negative == $x->is_negative;
+    }
+
+    /**
+     * Performs modular exponentiation.
+     *
+     * @param PHP64 $e
+     * @param PHP64 $n
+     * @return PHP64
+     */
+    public function modPow(PHP64 $e, PHP64 $n)
+    {
+        return $this->powModOuter($e, $n);
+    }
+
+    /**
+     * Performs modular exponentiation.
+     *
+     * Alias for modPow().
+     *
+     * @param PHP64 $e
+     * @param PHP64 $n
+     * @return PHP64
+     */
+    public function powMod(PHP64 $e, PHP64 $n)
+    {
+        return $this->powModOuter($e, $n);
+    }
+
+    /**
+     * Generate a random prime number between a range
+     *
+     * If there's not a prime within the given range, false will be returned.
+     *
+     * @param PHP64 $min
+     * @param PHP64 $max
+     * @return false|PHP64
+     */
+    public static function randomRangePrime(PHP64 $min, PHP64 $max)
+    {
+        return self::randomRangePrimeOuter($min, $max);
+    }
+
+    /**
+     * Generate a random number between a range
+     *
+     * Returns a random number between $min and $max where $min and $max
+     * can be defined using one of the two methods:
+     *
+     * BigInteger::randomRange($min, $max)
+     * BigInteger::randomRange($max, $min)
+     *
+     * @param PHP64 $min
+     * @param PHP64 $max
+     * @return PHP64
+     */
+    public static function randomRange(PHP64 $min, PHP64 $max)
+    {
+        return self::randomRangeHelper($min, $max);
+    }
+
+    /**
+     * Performs exponentiation.
+     *
+     * @param PHP64 $n
+     * @return PHP64
+     */
+    public function pow(PHP64 $n)
+    {
+        return $this->powHelper($n);
+    }
+
+    /**
+     * Return the minimum BigInteger between an arbitrary number of BigIntegers.
+     *
+     * @param PHP64 ...$nums
+     * @return PHP64
+     */
+    public static function min(PHP64 ...$nums)
+    {
+        return self::minHelper($nums);
+    }
+
+    /**
+     * Return the maximum BigInteger between an arbitrary number of BigIntegers.
+     *
+     * @param PHP64 ...$nums
+     * @return PHP64
+     */
+    public static function max(PHP64 ...$nums)
+    {
+        return self::maxHelper($nums);
+    }
+
+    /**
+     * Tests BigInteger to see if it is between two integers, inclusive
+     *
+     * @param PHP64 $min
+     * @param PHP64 $max
+     * @return bool
+     */
+    public function between(PHP64 $min, PHP64 $max)
+    {
+        return $this->compare($min) >= 0 && $this->compare($max) <= 0;
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BinaryField.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BinaryField.php
new file mode 100644
index 000000000..7457b720f
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BinaryField.php
@@ -0,0 +1,196 @@
+<?php
+
+/**
+ * Binary Finite Fields
+ *
+ * Utilizes the factory design pattern
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ */
+
+namespace phpseclib3\Math;
+
+use ParagonIE\ConstantTime\Hex;
+use phpseclib3\Math\Common\FiniteField;
+use phpseclib3\Math\BinaryField\Integer;
+use phpseclib3\Common\Functions\Strings;
+
+/**
+ * Binary Finite Fields
+ *
+ * @package Math
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class BinaryField extends FiniteField
+{
+    /**
+     * Instance Counter
+     *
+     * @var int
+     */
+    private static $instanceCounter = 0;
+
+    /**
+     * Keeps track of current instance
+     *
+     * @var int
+     */
+    protected $instanceID;
+
+    /**
+     * Default constructor
+     */
+    public function __construct(...$indices)
+    {
+        $m = array_shift($indices);
+        $val = str_repeat('0', $m) . '1';
+        foreach ($indices as $index) {
+            $val[$index] = '1';
+        }
+        $modulo = static::base2ToBase256(strrev($val));
+
+        $mStart = 2 * $m - 2;
+        $t = ceil($m / 8);
+        $finalMask = chr((1 << ($m % 8)) - 1);
+        if ($finalMask == "\0") {
+            $finalMask = "\xFF";
+        }
+        $bitLen = $mStart + 1;
+        $pad = ceil($bitLen / 8);
+        $h = $bitLen & 7;
+        $h = $h ? 8 - $h : 0;
+
+        $r = rtrim(substr($val, 0, -1), '0');
+        $u = [static::base2ToBase256(strrev($r))];
+        for ($i = 1; $i < 8; $i++) {
+            $u[] = static::base2ToBase256(strrev(str_repeat('0', $i) . $r));
+        }
+
+        // implements algorithm 2.40 (in section 2.3.5) in "Guide to Elliptic Curve Cryptography"
+        // with W = 8
+        $reduce = function($c) use ($u, $mStart, $m, $t, $finalMask, $pad, $h) {
+            $c = str_pad($c, $pad, "\0", STR_PAD_LEFT);
+            for ($i = $mStart; $i >= $m;) {
+                $g = $h >> 3;
+                $mask = $h & 7;
+                $mask = $mask ? 1 << (7 - $mask) : 0x80;
+                for (; $mask > 0; $mask >>= 1, $i--, $h++) {
+                    if (ord($c[$g]) & $mask) {
+                        $temp = $i - $m;
+                        $j = $temp >> 3;
+                        $k = $temp & 7;
+                        $t1 = $j ? substr($c, 0, -$j) : $c;
+                        $length = strlen($t1);
+                        if ($length) {
+                            $t2 = str_pad($u[$k], $length, "\0", STR_PAD_LEFT);
+                            $temp = $t1 ^ $t2;
+                            $c = $j ? substr_replace($c, $temp, 0, $length) : $temp;
+                        }
+                    }
+                }
+            }
+            $c = substr($c, -$t);
+            if (strlen($c) == $t) {
+                $c[0] = $c[0] & $finalMask;
+            }
+            return ltrim($c, "\0");
+        };
+
+        $this->instanceID = self::$instanceCounter++;
+        Integer::setModulo($this->instanceID, $modulo);
+        Integer::setRecurringModuloFunction($this->instanceID, $reduce);
+
+        $this->randomMax = new BigInteger($modulo, 2);
+    }
+
+    /**
+     * Returns an instance of a dynamically generated PrimeFieldInteger class
+     *
+     * @param string $num
+     * @return object
+     */
+    public function newInteger($num)
+    {
+        return new Integer($this->instanceID, $num instanceof BigInteger ? $num->toBytes() : $num);
+    }
+
+    /**
+     * Returns an integer on the finite field between one and the prime modulo
+     *
+     * @return object
+     */
+    public function randomInteger()
+    {
+        static $one;
+        if (!isset($one)) {
+            $one = new BigInteger(1);
+        }
+
+        return new Integer($this->instanceID, BigInteger::randomRange($one, $this->randomMax)->toBytes());
+    }
+
+    /**
+     * Returns the length of the modulo in bytes
+     *
+     * @return integer
+     */
+    public function getLengthInBytes()
+    {
+        return strlen(Integer::getModulo($this->instanceID));
+    }
+
+    /**
+     * Returns the length of the modulo in bits
+     *
+     * @return integer
+     */
+    public function getLength()
+    {
+        return strlen(Integer::getModulo($this->instanceID)) << 3;
+    }
+
+    /**
+     * Converts a base-2 string to a base-256 string
+     *
+     * @param string $x
+     * @param integer $size 
+     * @return string
+     */
+    public static function base2ToBase256($x, $size = null)
+    {
+        $str = Strings::bits2bin($x);
+
+        $pad = strlen($x) >> 3;
+        if (strlen($x) & 3) {
+            $pad++;
+        }
+        $str = str_pad($str, $pad, "\0", STR_PAD_LEFT);
+        if (isset($size)) {
+            $str = str_pad($str, $size, "\0", STR_PAD_LEFT);
+        }
+
+        return $str;
+    }
+
+    /**
+     * Converts a base-256 string to a base-2 string
+     *
+     * @param string $x
+     * @return string
+     */
+    public static function base256ToBase2($x)
+    {
+        if (function_exists('gmp_import')) {
+            return gmp_strval(gmp_import($x), 2);
+        }
+
+        return Strings::bin2bits($x);
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/BinaryField/Integer.php b/vendor/phpseclib/phpseclib/phpseclib/Math/BinaryField/Integer.php
new file mode 100644
index 000000000..fc7a11ad2
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/BinaryField/Integer.php
@@ -0,0 +1,520 @@
+<?php
+
+/**
+ * Binary Finite Fields
+ *
+ * In a binary finite field numbers are actually polynomial equations. If you
+ * represent the number as a sequence of bits you get a sequence of 1's or 0's.
+ * These 1's or 0's represent the coefficients of the x**n, where n is the
+ * location of the given bit. When you add numbers over a binary finite field
+ * the result should have a coefficient of 1 or 0 as well. Hence addition
+ * and subtraction become the same operation as XOR.
+ * eg. 1 + 1 + 1 == 3 % 2 == 1 or 0 - 1 == -1 % 2 == 1
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ */
+
+namespace phpseclib3\Math\BinaryField;
+
+use phpseclib3\Math\Common\FiniteField\Integer as Base;
+use phpseclib3\Math\BigInteger;
+use phpseclib3\Math\BinaryField;
+use ParagonIE\ConstantTime\Hex;
+
+/**
+ * Binary Finite Fields
+ *
+ * @package Math
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class Integer extends Base
+{
+    /**
+     * Holds the BinaryField's value
+     *
+     * @var string
+     */
+    protected $value;
+
+    /**
+     * Keeps track of current instance
+     *
+     * @var int
+     */
+    protected $instanceID;
+
+    /**
+     * Holds the PrimeField's modulo
+     *
+     * @var string[]
+     */
+    protected static $modulo;
+
+    /**
+     * Holds a pre-generated function to perform modulo reductions
+     *
+     * @var callable[]
+     */
+    protected static $reduce;
+
+    /**
+     * Default constructor
+     */
+    public function __construct($instanceID, $num = '')
+    {
+        $this->instanceID = $instanceID;
+        if (!strlen($num)) {
+            $this->value = '';
+        } else {
+            $reduce = static::$reduce[$instanceID];
+            $this->value = $reduce($num);
+        }
+    }
+
+    /**
+     * Set the modulo for a given instance
+     */
+    public static function setModulo($instanceID, $modulo)
+    {
+        static::$modulo[$instanceID] = $modulo;
+    }
+
+    /**
+     * Set the modulo for a given instance
+     */
+    public static function setRecurringModuloFunction($instanceID, callable $function)
+    {
+        static::$reduce[$instanceID] = $function;
+    }
+
+    /**
+     * Tests a parameter to see if it's of the right instance
+     *
+     * Throws an exception if the incorrect class is being utilized
+     */
+    private static function checkInstance(self $x, self $y)
+    {
+        if ($x->instanceID != $y->instanceID) {
+            throw new \UnexpectedValueException('The instances of the two BinaryField\Integer objects do not match');
+        }
+    }
+
+    /**
+     * Tests the equality of two numbers.
+     *
+     * @return bool
+     */
+    public function equals(self $x)
+    {
+        static::checkInstance($this, $x);
+
+        return $this->value == $x->value;
+    }
+
+    /**
+     * Compares two numbers.
+     *
+     * @return int
+     */
+    public function compare(self $x)
+    {
+        static::checkInstance($this, $x);
+
+        $a = $this->value;
+        $b = $x->value;
+
+        $length = max(strlen($a), strlen($b));
+
+        $a = str_pad($a, $length, "\0", STR_PAD_LEFT);
+        $b = str_pad($b, $length, "\0", STR_PAD_LEFT);
+
+        return strcmp($a, $b);
+    }
+
+    /**
+     * Returns the degree of the polynomial
+     *
+     * @param string $x
+     * @return int
+     */
+    private static function deg($x)
+    {
+        $x = ltrim($x, "\0");
+        $xbit = decbin(ord($x[0]));
+        $xlen = $xbit == '0' ? 0 : strlen($xbit);
+        $len = strlen($x);
+        if (!$len) {
+            return -1;
+        }
+        return 8 * strlen($x) - 9 + $xlen;
+    }
+
+    /**
+     * Perform polynomial division
+     *
+     * @return string[]
+     * @link https://en.wikipedia.org/wiki/Polynomial_greatest_common_divisor#Euclidean_division
+     */
+    private static function polynomialDivide($x, $y)
+    {
+        // in wikipedia's description of the algorithm, lc() is the leading coefficient. over a binary field that's
+        // always going to be 1.
+
+        $q = chr(0);
+        $d = static::deg($y);
+        $r = $x;
+        while (($degr = static::deg($r)) >= $d) {
+            $s = '1' . str_repeat('0', $degr - $d);
+            $s = BinaryField::base2ToBase256($s);
+            $length = max(strlen($s), strlen($q));
+            $q = !isset($q) ? $s :
+                str_pad($q, $length, "\0", STR_PAD_LEFT) ^
+                str_pad($s, $length, "\0", STR_PAD_LEFT);
+            $s = static::polynomialMultiply($s, $y);
+            $length = max(strlen($r), strlen($s));
+            $r = str_pad($r, $length, "\0", STR_PAD_LEFT) ^
+                 str_pad($s, $length, "\0", STR_PAD_LEFT);
+        }
+
+        return [ltrim($q, "\0"), ltrim($r, "\0")];
+    }
+
+    /**
+     * Perform polynomial multiplation in the traditional way
+     *
+     * @return string
+     * @link https://en.wikipedia.org/wiki/Finite_field_arithmetic#Multiplication
+     */
+    private static function regularPolynomialMultiply($x, $y)
+    {
+        $precomputed = [ltrim($x, "\0")];
+        $x = strrev(BinaryField::base256ToBase2($x));
+        $y = strrev(BinaryField::base256ToBase2($y));
+        if (strlen($x) == strlen($y)) {
+            $length = strlen($x);
+        } else {
+            $length = max(strlen($x), strlen($y));
+            $x = str_pad($x, $length, '0');
+            $y = str_pad($y, $length, '0');
+        }
+        $result = str_repeat('0', 2 * $length - 1);
+        $result = BinaryField::base2ToBase256($result);
+        $size = strlen($result);
+        $x = strrev($x);
+
+        // precompute left shift 1 through 7
+        for ($i = 1; $i < 8; $i++) {
+            $precomputed[$i] = BinaryField::base2ToBase256($x . str_repeat('0', $i));
+        }
+        for ($i = 0; $i < strlen($y); $i++) {
+            if ($y[$i] == '1') {
+                $temp = $precomputed[$i & 7] . str_repeat("\0", $i >> 3);
+                $result^= str_pad($temp, $size, "\0", STR_PAD_LEFT);
+            }
+        }
+
+        return $result;
+    }
+
+    /**
+     * Perform polynomial multiplation
+     *
+     * Uses karatsuba multiplication to reduce x-bit multiplications to a series of 32-bit multiplications
+     *
+     * @return string
+     * @link https://en.wikipedia.org/wiki/Karatsuba_algorithm
+     */
+    private static function polynomialMultiply($x, $y)
+    {
+        if (strlen($x) == strlen($y)) {
+            $length = strlen($x);
+        } else {
+            $length = max(strlen($x), strlen($y));
+            $x = str_pad($x, $length, "\0", STR_PAD_LEFT);
+            $y = str_pad($y, $length, "\0", STR_PAD_LEFT);
+        }
+
+        switch (true) {
+            case PHP_INT_SIZE == 8 && $length <= 4:
+                return $length != 4 ?
+                    self::subMultiply(str_pad($x, 4, "\0", STR_PAD_LEFT), str_pad($y, 4, "\0", STR_PAD_LEFT)) :
+                    self::subMultiply($x, $y);
+            case PHP_INT_SIZE == 4 || $length > 32:
+                return self::regularPolynomialMultiply($x, $y);
+        }
+
+        $m = $length >> 1;
+
+        $x1 = substr($x, 0, -$m);
+        $x0 = substr($x, -$m);
+        $y1 = substr($y, 0, -$m);
+        $y0 = substr($y, -$m);
+
+        $z2 = self::polynomialMultiply($x1, $y1);
+        $z0 = self::polynomialMultiply($x0, $y0);
+        $z1 = self::polynomialMultiply(
+            self::subAdd2($x1, $x0),
+            self::subAdd2($y1, $y0)
+        );
+
+        $z1 = self::subAdd3($z1, $z2, $z0);
+
+        $xy = self::subAdd3(
+            $z2 . str_repeat("\0", 2 * $m),
+            $z1 . str_repeat("\0", $m),
+            $z0
+        );
+
+        return ltrim($xy, "\0");
+    }
+
+    /**
+     * Perform polynomial multiplication on 2x 32-bit numbers, returning
+     * a 64-bit number
+     *
+     * @param string $x
+     * @param string $y
+     * @return string
+     * @link https://www.bearssl.org/constanttime.html#ghash-for-gcm
+     */
+    private static function subMultiply($x, $y)
+    {
+        $x = unpack('N', $x)[1];
+        $y = unpack('N', $y)[1];
+
+        $x0 = $x & 0x11111111;
+        $x1 = $x & 0x22222222;
+        $x2 = $x & 0x44444444;
+        $x3 = $x & 0x88888888;
+
+        $y0 = $y & 0x11111111;
+        $y1 = $y & 0x22222222;
+        $y2 = $y & 0x44444444;
+        $y3 = $y & 0x88888888;
+
+        $z0 = ($x0 * $y0) ^ ($x1 * $y3) ^ ($x2 * $y2) ^ ($x3 * $y1);
+        $z1 = ($x0 * $y1) ^ ($x1 * $y0) ^ ($x2 * $y3) ^ ($x3 * $y2);
+        $z2 = ($x0 * $y2) ^ ($x1 * $y1) ^ ($x2 * $y0) ^ ($x3 * $y3);
+        $z3 = ($x0 * $y3) ^ ($x1 * $y2) ^ ($x2 * $y1) ^ ($x3 * $y0);
+
+        $z0&= 0x1111111111111111;
+        $z1&= 0x2222222222222222;
+        $z2&= 0x4444444444444444;
+        $z3&= -8608480567731124088; // 0x8888888888888888 gets interpreted as a float
+
+        $z = $z0 | $z1 | $z2 | $z3;
+
+        return pack('J', $z);
+    }
+
+    /**
+     * Adds two numbers
+     *
+     * @param string $x
+     * @param string $y
+     * @return string
+     */
+    private static function subAdd2($x, $y)
+    {
+        $length = max(strlen($x), strlen($y));
+        $x = str_pad($x, $length, "\0", STR_PAD_LEFT);
+        $y = str_pad($y, $length, "\0", STR_PAD_LEFT);
+        return $x ^ $y;
+    }
+
+    /**
+     * Adds three numbers
+     *
+     * @param string $x
+     * @param string $y
+     * @return string
+     */
+    private static function subAdd3($x, $y, $z)
+    {
+        $length = max(strlen($x), strlen($y), strlen($z));
+        $x = str_pad($x, $length, "\0", STR_PAD_LEFT);
+        $y = str_pad($y, $length, "\0", STR_PAD_LEFT);
+        $z = str_pad($z, $length, "\0", STR_PAD_LEFT);
+        return $x ^ $y ^ $z;
+    }
+
+    /**
+     * Adds two BinaryFieldIntegers.
+     *
+     * @return static
+     */
+    public function add(self $y)
+    {
+        static::checkInstance($this, $y);
+
+        $length = strlen(static::$modulo[$this->instanceID]);
+
+        $x = str_pad($this->value, $length, "\0", STR_PAD_LEFT);
+        $y = str_pad($y->value, $length, "\0", STR_PAD_LEFT);
+
+        return new static($this->instanceID, $x ^ $y);
+    }
+
+    /**
+     * Subtracts two BinaryFieldIntegers.
+     *
+     * @return static
+     */
+    public function subtract(self $x)
+    {
+        return $this->add($x);
+    }
+
+    /**
+     * Multiplies two BinaryFieldIntegers.
+     *
+     * @return static
+     */
+    public function multiply(self $y)
+    {
+        static::checkInstance($this, $y);
+
+        return new static($this->instanceID, static::polynomialMultiply($this->value, $y->value));
+    }
+
+    /**
+     * Returns the modular inverse of a BinaryFieldInteger
+     *
+     * @return static
+     */
+    public function modInverse()
+    {
+        $remainder0 = static::$modulo[$this->instanceID];
+        $remainder1 = $this->value;
+
+        if ($remainder1 == '') {
+            return new static($this->instanceID);
+        }
+
+        $aux0 = "\0";
+        $aux1 = "\1";
+        while ($remainder1 != "\1") {
+            list($q, $r) = static::polynomialDivide($remainder0, $remainder1);
+            $remainder0 = $remainder1;
+            $remainder1 = $r;
+            // the auxiliary in row n is given by the sum of the auxiliary in
+            // row n-2 and the product of the quotient and the auxiliary in row
+            // n-1
+            $temp = static::polynomialMultiply($aux1, $q);
+            $aux = str_pad($aux0, strlen($temp), "\0", STR_PAD_LEFT) ^
+                   str_pad($temp, strlen($aux0), "\0", STR_PAD_LEFT);
+            $aux0 = $aux1;
+            $aux1 = $aux;
+        }
+
+        $temp = new static($this->instanceID);
+        $temp->value = ltrim($aux1, "\0");
+        return $temp;
+    }
+
+    /**
+     * Divides two PrimeFieldIntegers.
+     *
+     * @return static
+     */
+    public function divide(self $x)
+    {
+        static::checkInstance($this, $x);
+
+        $x = $x->modInverse();
+        return $this->multiply($x);
+    }
+
+    /**
+     * Negate
+     *
+     * A negative number can be written as 0-12. With modulos, 0 is the same thing as the modulo
+     * so 0-12 is the same thing as modulo-12
+     *
+     * @return object
+     */
+    public function negate()
+    {
+        $x = str_pad($this->value, strlen(static::$modulo[$this->instanceID]), "\0", STR_PAD_LEFT);
+
+        return new static($this->instanceID, $x ^ static::$modulo[$this->instanceID]);
+    }
+
+    /**
+     * Returns the modulo
+     *
+     * @return integer
+     */
+    public static function getModulo($instanceID)
+    {
+        return static::$modulo[$instanceID];
+    }
+
+    /**
+     * Converts an Integer to a byte string (eg. base-256).
+     *
+     * @return string
+     */
+    public function toBytes()
+    {
+        return str_pad($this->value, strlen(static::$modulo[$this->instanceID]), "\0", STR_PAD_LEFT);
+    }
+
+    /**
+     * Converts an Integer to a hex string (eg. base-16).
+     *
+     * @return string
+     */
+    public function toHex()
+    {
+        return Hex::encode($this->toBytes());
+    }
+
+    /**
+     * Converts an Integer to a bit string (eg. base-2).
+     *
+     * @return string
+     */
+    public function toBits()
+    {
+        //return str_pad(BinaryField::base256ToBase2($this->value), strlen(static::$modulo[$this->instanceID]), '0', STR_PAD_LEFT);
+        return BinaryField::base256ToBase2($this->value);
+    }
+
+    /**
+     * Converts an Integer to a BigInteger
+     *
+     * @return string
+     */
+    public function toBigInteger()
+    {
+        return new BigInteger($this->value, 256);
+    }
+
+    /**
+     *  __toString() magic method
+     *
+     * @access public
+     */
+    public function __toString()
+    {
+        return (string) $this->toBigInteger();
+    }
+
+    /**
+     *  __debugInfo() magic method
+     *
+     * @access public
+     */
+    public function __debugInfo()
+    {
+        return ['value' => $this->toHex()];
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/Common/FiniteField.php b/vendor/phpseclib/phpseclib/phpseclib/Math/Common/FiniteField.php
new file mode 100644
index 000000000..c2294a04c
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/Common/FiniteField.php
@@ -0,0 +1,26 @@
+<?php
+
+/**
+ * Finite Fields Base Class
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ */
+
+namespace phpseclib3\Math\Common;
+
+/**
+ * Finite Fields
+ *
+ * @package Math
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class FiniteField
+{
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/Common/FiniteField/Integer.php b/vendor/phpseclib/phpseclib/phpseclib/Math/Common/FiniteField/Integer.php
new file mode 100644
index 000000000..d163f5523
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/Common/FiniteField/Integer.php
@@ -0,0 +1,26 @@
+<?php
+
+/**
+ * Finite Field Integer Base Class
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ */
+
+namespace phpseclib3\Math\Common\FiniteField;
+
+/**
+ * Finite Field Integer
+ *
+ * @package Math
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+abstract class Integer
+{
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/PrimeField.php b/vendor/phpseclib/phpseclib/phpseclib/Math/PrimeField.php
new file mode 100644
index 000000000..6b85c7247
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/PrimeField.php
@@ -0,0 +1,114 @@
+<?php
+
+/**
+ * Prime Finite Fields
+ *
+ * Utilizes the factory design pattern
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://pear.php.net/package/Math_BigInteger
+ */
+
+namespace phpseclib3\Math;
+
+use phpseclib3\Math\Common\FiniteField;
+use phpseclib3\Math\PrimeField\Integer;
+
+/**
+ * Prime Finite Fields
+ *
+ * @package Math
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class PrimeField extends FiniteField
+{
+    /**
+     * Instance Counter
+     *
+     * @var int
+     */
+    private static $instanceCounter = 0;
+
+    /**
+     * Keeps track of current instance
+     *
+     * @var int
+     */
+    protected $instanceID;
+
+    /**
+     * Default constructor
+     */
+    public function __construct(BigInteger $modulo)
+    {
+        //if (!$modulo->isPrime()) {
+        //    throw new \UnexpectedValueException('PrimeField requires a prime number be passed to the constructor');
+        //}
+
+        $this->modulo = $modulo;
+
+        $this->instanceID = self::$instanceCounter++;
+        Integer::setModulo($this->instanceID, $modulo);
+        Integer::setRecurringModuloFunction($this->instanceID, $modulo->createRecurringModuloFunction());
+    }
+
+    /**
+     * Use a custom defined modular reduction function
+     */
+    public function setReduction(callable $func)
+    {
+        $this->reduce = $func->bindTo($this, $this);
+    }
+
+    /**
+     * Returns an instance of a dynamically generated PrimeFieldInteger class
+     *
+     * @return object
+     */
+    public function newInteger(BigInteger $num)
+    {
+        return new Integer($this->instanceID, $num);
+    }
+
+    /**
+     * Returns an integer on the finite field between one and the prime modulo
+     *
+     * @return object
+     */
+    public function randomInteger()
+    {
+        static $one;
+        if (!isset($one)) {
+            $one = new BigInteger(1);
+        }
+
+        return new Integer($this->instanceID, BigInteger::randomRange($one, Integer::getModulo($this->instanceID)));
+    }
+
+    /**
+     * Returns the length of the modulo in bytes
+     *
+     * @return integer
+     */
+    public function getLengthInBytes()
+    {
+        return Integer::getModulo($this->instanceID)->getLengthInBytes();
+    }
+
+    /**
+     * Returns the length of the modulo in bits
+     *
+     * @return integer
+     */
+    public function getLength()
+    {
+        return Integer::getModulo($this->instanceID)->getLength();
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Math/PrimeField/Integer.php b/vendor/phpseclib/phpseclib/phpseclib/Math/PrimeField/Integer.php
new file mode 100644
index 000000000..c274ff641
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Math/PrimeField/Integer.php
@@ -0,0 +1,399 @@
+<?php
+
+/**
+ * Prime Finite Fields
+ *
+ * PHP version 5 and 7
+ *
+ * @category  Math
+ * @package   BigInteger
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2017 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ */
+
+namespace phpseclib3\Math\PrimeField;
+
+use phpseclib3\Math\Common\FiniteField\Integer as Base;
+use phpseclib3\Math\BigInteger;
+use ParagonIE\ConstantTime\Hex;
+
+/**
+ * Prime Finite Fields
+ *
+ * @package Math
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class Integer extends Base
+{
+    /**
+     * Holds the PrimeField's value
+     *
+     * @var \phpseclib3\Math\BigInteger
+     */
+    protected $value;
+
+    /**
+     * Keeps track of current instance
+     *
+     * @var int
+     */
+    protected $instanceID;
+
+    /**
+     * Holds the PrimeField's modulo
+     *
+     * @var \phpseclib3\Math\BigInteger
+     */
+    protected static $modulo;
+
+    /**
+     * Holds a pre-generated function to perform modulo reductions
+     *
+     * @var Callable
+     */
+    protected static $reduce;
+
+    /**
+     * Zero
+     *
+     * @var \phpseclib3\Math\BigInteger
+     */
+    protected static $zero;
+
+    /**
+     * Default constructor
+     */
+    public function __construct($instanceID, BigInteger $num = null)
+    {
+        $this->instanceID = $instanceID;
+        if (!isset($num)) {
+            $this->value = clone static::$zero;
+        } else {
+            $reduce = static::$reduce[$instanceID];
+            $this->value = $reduce($num);
+        }
+    }
+
+    /**
+     * Set the modulo for a given instance
+     */
+    public static function setModulo($instanceID, BigInteger $modulo)
+    {
+        static::$modulo[$instanceID] = $modulo;
+    }
+
+    /**
+     * Set the modulo for a given instance
+     */
+    public static function setRecurringModuloFunction($instanceID, callable $function)
+    {
+        static::$reduce[$instanceID] = $function;
+        if (!isset(static::$zero)) {
+            static::$zero = new BigInteger();
+        }
+    }
+
+    /**
+     * Returns the modulo
+     *
+     * @return integer
+     */
+    public static function getModulo($instanceID)
+    {
+        return static::$modulo[$instanceID];
+    }
+
+    /**
+     * Tests a parameter to see if it's of the right instance
+     *
+     * Throws an exception if the incorrect class is being utilized
+     */
+    public static function checkInstance(self $x, self $y)
+    {
+        if ($x->instanceID != $y->instanceID) {
+            throw new \UnexpectedValueException('The instances of the two PrimeField\Integer objects do not match');
+        }
+    }
+
+    /**
+     * Tests the equality of two numbers.
+     *
+     * @return bool
+     */
+    public function equals(self $x)
+    {
+        static::checkInstance($this, $x);
+
+        return $this->value->equals($x->value);
+    }
+
+    /**
+     * Compares two numbers.
+     *
+     * @return int
+     */
+    public function compare(self $x)
+    {
+        static::checkInstance($this, $x);
+
+        return $this->value->compare($x->value);
+    }
+
+    /**
+     * Adds two PrimeFieldIntegers.
+     *
+     * @return static
+     */
+    public function add(self $x)
+    {
+        static::checkInstance($this, $x);
+
+        $temp = new static($this->instanceID);
+        $temp->value = $this->value->add($x->value);
+        if ($temp->value->compare(static::$modulo[$this->instanceID]) >= 0) {
+            $temp->value = $temp->value->subtract(static::$modulo[$this->instanceID]);
+        }
+
+        return $temp;
+    }
+
+    /**
+     * Subtracts two PrimeFieldIntegers.
+     *
+     * @return static
+     */
+    public function subtract(self $x)
+    {
+        static::checkInstance($this, $x);
+
+        $temp = new static($this->instanceID);
+        $temp->value = $this->value->subtract($x->value);
+        if ($temp->value->isNegative()) {
+            $temp->value = $temp->value->add(static::$modulo[$this->instanceID]);
+        }
+
+        return $temp;
+    }
+
+    /**
+     * Multiplies two PrimeFieldIntegers.
+     *
+     * @return static
+     */
+    public function multiply(self $x)
+    {
+        static::checkInstance($this, $x);
+
+        return new static($this->instanceID, $this->value->multiply($x->value));
+    }
+
+    /**
+     * Divides two PrimeFieldIntegers.
+     *
+     * @return static
+     */
+    public function divide(self $x)
+    {
+        static::checkInstance($this, $x);
+
+        $denominator = $x->value->modInverse(static::$modulo[$this->instanceID]);
+        return new static($this->instanceID, $this->value->multiply($denominator));
+    }
+
+    /**
+     * Performs power operation on a PrimeFieldInteger.
+     *
+     * @return static
+     */
+    public function pow(BigInteger $x)
+    {
+        $temp = new static($this->instanceID);
+        $temp->value = $this->value->powMod($x, static::$modulo[$this->instanceID]);
+
+        return $temp;
+    }
+
+    /**
+     * Calculates the square root
+     *
+     * @link https://en.wikipedia.org/wiki/Tonelli%E2%80%93Shanks_algorithm
+     * @return static|false
+     */
+    public function squareRoot()
+    {
+        static $one, $two;
+        if (!isset($one)) {
+            $one = new BigInteger(1);
+            $two = new BigInteger(2);
+        }
+        $reduce = static::$reduce[$this->instanceID];
+        $p_1 = static::$modulo[$this->instanceID]->subtract($one);
+        $q = clone $p_1;
+        $s = BigInteger::scan1divide($q);
+        list($pow) = $p_1->divide($two);
+        for ($z = $one; !$z->equals(static::$modulo[$this->instanceID]); $z = $z->add($one)) {
+            $temp = $z->powMod($pow, static::$modulo[$this->instanceID]);
+            if ($temp->equals($p_1)) {
+                break;
+            }
+        }
+
+        $m = new BigInteger($s);
+        $c = $z->powMod($q, static::$modulo[$this->instanceID]);
+        $t = $this->value->powMod($q, static::$modulo[$this->instanceID]);
+        list($temp) = $q->add($one)->divide($two);
+        $r = $this->value->powMod($temp, static::$modulo[$this->instanceID]);
+
+        while (!$t->equals($one)) {
+            $i = clone $one;
+
+            while (!$t->powMod($two->pow($i), static::$modulo[$this->instanceID])->equals($one)) {
+                $i = $i->add($one);
+            }
+
+            if ($i->compare($m) >= 0) {
+                return false;
+            }
+            $b = $c->powMod($two->pow($m->subtract($i)->subtract($one)), static::$modulo[$this->instanceID]);
+            $m = $i;
+            $c = $reduce($b->multiply($b));
+            $t = $reduce($t->multiply($c));
+            $r = $reduce($r->multiply($b));
+        }
+
+        return new static($this->instanceID, $r);
+    }
+
+    /**
+     * Is Odd?
+     *
+     * @return boolean
+     */
+    public function isOdd()
+    {
+        return $this->value->isOdd();
+    }
+
+    /**
+     * Negate
+     *
+     * A negative number can be written as 0-12. With modulos, 0 is the same thing as the modulo
+     * so 0-12 is the same thing as modulo-12
+     *
+     * @return object
+     */
+    public function negate()
+    {
+        return new static($this->instanceID, static::$modulo[$this->instanceID]->subtract($this->value));
+    }
+
+    /**
+     * Converts an Integer to a byte string (eg. base-256).
+     *
+     * @return string
+     */
+    public function toBytes()
+    {
+        $length = static::$modulo[$this->instanceID]->getLengthInBytes();
+        return str_pad($this->value->toBytes(), $length, "\0", STR_PAD_LEFT);
+    }
+
+    /**
+     * Converts an Integer to a hex string (eg. base-16).
+     *
+     * @return string
+     */
+    public function toHex()
+    {
+        return Hex::encode($this->toBytes());
+    }
+
+    /**
+     * Converts an Integer to a bit string (eg. base-2).
+     *
+     * @return string
+     */
+    public function toBits()
+    {
+        // return $this->value->toBits();
+        static $length;
+        if (!isset($length)) {
+            $length = static::$modulo[$this->instanceID]->getLength();
+        }
+
+        return str_pad($this->value->toBits(), $length, '0', STR_PAD_LEFT);
+    }
+
+    /**
+     * Returns the w-ary non-adjacent form (wNAF)
+     *
+     * @param int $w optional
+     * @return int[]
+     */
+    public function getNAF($w = 1)
+    {
+        $w++;
+
+        $mask = new BigInteger((1 << $w) - 1);
+        $sub = new BigInteger(1 << $w);
+        //$sub = new BigInteger(1 << ($w - 1));
+        $d = $this->toBigInteger();
+        $d_i = [];
+
+        $i = 0;
+        while ($d->compare(static::$zero) > 0) {
+            if ($d->isOdd()) {
+                // start mods
+                $d_i[$i] = $d->testBit($w - 1) ?
+                    $d->bitwise_and($mask)->subtract($sub) :
+                    //$sub->subtract($d->bitwise_and($mask)) :
+                    $d->bitwise_and($mask);
+                // end mods
+                $d = $d->subtract($d_i[$i]);
+                $d_i[$i] = (int) $d_i[$i]->toString();
+            } else {
+                $d_i[$i] = 0;
+            }
+            $shift = !$d->equals(static::$zero) && $d->bitwise_and($mask)->equals(static::$zero) ? $w : 1; // $w or $w + 1?
+            $d = $d->bitwise_rightShift($shift);
+            while (--$shift > 0) {
+                $d_i[++$i] = 0;
+            }
+            $i++;
+        }
+
+        return $d_i;
+    }
+
+    /**
+     * Converts an Integer to a BigInteger
+     *
+     * @return string
+     */
+    public function toBigInteger()
+    {
+        return clone $this->value;
+    }
+
+    /**
+     *  __toString() magic method
+     *
+     * @access public
+     */
+    public function __toString()
+    {
+        return (string) $this->value;
+    }
+
+    /**
+     *  __debugInfo() magic method
+     *
+     * @access public
+     */
+    public function __debugInfo()
+    {
+        return ['value' => $this->toHex()];
+    }
+}
\ No newline at end of file
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Net/SFTP.php b/vendor/phpseclib/phpseclib/phpseclib/Net/SFTP.php
new file mode 100644
index 000000000..c04fe7e68
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Net/SFTP.php
@@ -0,0 +1,3134 @@
+<?php
+
+/**
+ * Pure-PHP implementation of SFTP.
+ *
+ * PHP version 5
+ *
+ * Currently only supports SFTPv2 and v3, which, according to wikipedia.org, "is the most widely used version,
+ * implemented by the popular OpenSSH SFTP server".  If you want SFTPv4/5/6 support, provide me with access
+ * to an SFTPv4/5/6 server.
+ *
+ * The API for this library is modeled after the API from PHP's {@link http://php.net/book.ftp FTP extension}.
+ *
+ * Here's a short example of how to use this library:
+ * <code>
+ * <?php
+ *    include 'vendor/autoload.php';
+ *
+ *    $sftp = new \phpseclib3\Net\SFTP('www.domain.tld');
+ *    if (!$sftp->login('username', 'password')) {
+ *        exit('Login Failed');
+ *    }
+ *
+ *    echo $sftp->pwd() . "\r\n";
+ *    $sftp->put('filename.ext', 'hello, world!');
+ *    print_r($sftp->nlist());
+ * ?>
+ * </code>
+ *
+ * @category  Net
+ * @package   SFTP
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2009 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Net;
+
+use ParagonIE\ConstantTime\Hex;
+use phpseclib3\Exception\FileNotFoundException;
+use phpseclib3\Common\Functions\Strings;
+
+/**
+ * Pure-PHP implementations of SFTP.
+ *
+ * @package SFTP
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class SFTP extends SSH2
+{
+    /**
+     * SFTP channel constant
+     *
+     * \phpseclib3\Net\SSH2::exec() uses 0 and \phpseclib3\Net\SSH2::read() / \phpseclib3\Net\SSH2::write() use 1.
+     *
+     * @see \phpseclib3\Net\SSH2::send_channel_packet()
+     * @see \phpseclib3\Net\SSH2::get_channel_packet()
+     * @access private
+     */
+    const CHANNEL = 0x100;
+
+    /**
+     * Reads data from a local file.
+     *
+     * @access public
+     * @see \phpseclib3\Net\SFTP::put()
+     */
+    const SOURCE_LOCAL_FILE = 1;
+    /**
+     * Reads data from a string.
+     *
+     * @access public
+     * @see \phpseclib3\Net\SFTP::put()
+     */
+    // this value isn't really used anymore but i'm keeping it reserved for historical reasons
+    const SOURCE_STRING = 2;
+    /**
+     * Reads data from callback:
+     * function callback($length) returns string to proceed, null for EOF
+     *
+     * @access public
+     * @see \phpseclib3\Net\SFTP::put()
+     */
+    const SOURCE_CALLBACK = 16;
+    /**
+     * Resumes an upload
+     *
+     * @access public
+     * @see \phpseclib3\Net\SFTP::put()
+     */
+    const RESUME = 4;
+    /**
+     * Append a local file to an already existing remote file
+     *
+     * @access public
+     * @see \phpseclib3\Net\SFTP::put()
+     */
+    const RESUME_START = 8;
+
+    /**
+     * Packet Types
+     *
+     * @see self::__construct()
+     * @var array
+     * @access private
+     */
+    private $packet_types = [];
+
+    /**
+     * Status Codes
+     *
+     * @see self::__construct()
+     * @var array
+     * @access private
+     */
+    private $status_codes = [];
+
+    /**
+     * The Request ID
+     *
+     * The request ID exists in the off chance that a packet is sent out-of-order.  Of course, this library doesn't support
+     * concurrent actions, so it's somewhat academic, here.
+     *
+     * @var boolean
+     * @see self::_send_sftp_packet()
+     * @access private
+     */
+    private $use_request_id = false;
+
+    /**
+     * The Packet Type
+     *
+     * The request ID exists in the off chance that a packet is sent out-of-order.  Of course, this library doesn't support
+     * concurrent actions, so it's somewhat academic, here.
+     *
+     * @var int
+     * @see self::_get_sftp_packet()
+     * @access private
+     */
+    private $packet_type = -1;
+
+    /**
+     * Packet Buffer
+     *
+     * @var string
+     * @see self::_get_sftp_packet()
+     * @access private
+     */
+    private $packet_buffer = '';
+
+    /**
+     * Extensions supported by the server
+     *
+     * @var array
+     * @see self::_initChannel()
+     * @access private
+     */
+    private $extensions = [];
+
+    /**
+     * Server SFTP version
+     *
+     * @var int
+     * @see self::_initChannel()
+     * @access private
+     */
+    private $version;
+
+    /**
+     * Current working directory
+     *
+     * @var string
+     * @see self::realpath()
+     * @see self::chdir()
+     * @access private
+     */
+    private $pwd = false;
+
+    /**
+     * Packet Type Log
+     *
+     * @see self::getLog()
+     * @var array
+     * @access private
+     */
+    private $packet_type_log = [];
+
+    /**
+     * Packet Log
+     *
+     * @see self::getLog()
+     * @var array
+     * @access private
+     */
+    private $packet_log = [];
+
+    /**
+     * Error information
+     *
+     * @see self::getSFTPErrors()
+     * @see self::getLastSFTPError()
+     * @var array
+     * @access private
+     */
+    private $sftp_errors = [];
+
+    /**
+     * Stat Cache
+     *
+     * Rather than always having to open a directory and close it immediately there after to see if a file is a directory
+     * we'll cache the results.
+     *
+     * @see self::_update_stat_cache()
+     * @see self::_remove_from_stat_cache()
+     * @see self::_query_stat_cache()
+     * @var array
+     * @access private
+     */
+    private $stat_cache = [];
+
+    /**
+     * Max SFTP Packet Size
+     *
+     * @see self::__construct()
+     * @see self::get()
+     * @var array
+     * @access private
+     */
+    private $max_sftp_packet;
+
+    /**
+     * Stat Cache Flag
+     *
+     * @see self::disableStatCache()
+     * @see self::enableStatCache()
+     * @var bool
+     * @access private
+     */
+    private $use_stat_cache = true;
+
+    /**
+     * Sort Options
+     *
+     * @see self::_comparator()
+     * @see self::setListOrder()
+     * @var array
+     * @access private
+     */
+    protected $sortOptions = [];
+
+    /**
+     * Canonicalization Flag
+     *
+     * Determines whether or not paths should be canonicalized before being
+     * passed on to the remote server.
+     *
+     * @see self::enablePathCanonicalization()
+     * @see self::disablePathCanonicalization()
+     * @see self::realpath()
+     * @var bool
+     * @access private
+     */
+    private $canonicalize_paths = true;
+
+    /**
+     * Request Buffers
+     *
+     * @see self::_get_sftp_packet()
+     * @var array
+     * @access private
+     */
+    var $requestBuffer = array();
+
+    /**
+     * Preserve timestamps on file downloads / uploads
+     *
+     * @see self::get()
+     * @see self::put()
+     * @var bool
+     * @access private
+     */
+    var $preserveTime = false;
+
+    /**
+     * Default Constructor.
+     *
+     * Connects to an SFTP server
+     *
+     * @param string $host
+     * @param int $port
+     * @param int $timeout
+     * @return \phpseclib3\Net\SFTP
+     * @access public
+     */
+    public function __construct($host, $port = 22, $timeout = 10)
+    {
+        parent::__construct($host, $port, $timeout);
+
+        $this->max_sftp_packet = 1 << 15;
+
+        $this->packet_types = [
+            1  => 'NET_SFTP_INIT',
+            2  => 'NET_SFTP_VERSION',
+            /* the format of SSH_FXP_OPEN changed between SFTPv4 and SFTPv5+:
+                   SFTPv5+: http://tools.ietf.org/html/draft-ietf-secsh-filexfer-13#section-8.1.1
+               pre-SFTPv5 : http://tools.ietf.org/html/draft-ietf-secsh-filexfer-04#section-6.3 */
+            3  => 'NET_SFTP_OPEN',
+            4  => 'NET_SFTP_CLOSE',
+            5  => 'NET_SFTP_READ',
+            6  => 'NET_SFTP_WRITE',
+            7  => 'NET_SFTP_LSTAT',
+            9  => 'NET_SFTP_SETSTAT',
+            11 => 'NET_SFTP_OPENDIR',
+            12 => 'NET_SFTP_READDIR',
+            13 => 'NET_SFTP_REMOVE',
+            14 => 'NET_SFTP_MKDIR',
+            15 => 'NET_SFTP_RMDIR',
+            16 => 'NET_SFTP_REALPATH',
+            17 => 'NET_SFTP_STAT',
+            /* the format of SSH_FXP_RENAME changed between SFTPv4 and SFTPv5+:
+                   SFTPv5+: http://tools.ietf.org/html/draft-ietf-secsh-filexfer-13#section-8.3
+               pre-SFTPv5 : http://tools.ietf.org/html/draft-ietf-secsh-filexfer-04#section-6.5 */
+            18 => 'NET_SFTP_RENAME',
+            19 => 'NET_SFTP_READLINK',
+            20 => 'NET_SFTP_SYMLINK',
+
+            101=> 'NET_SFTP_STATUS',
+            102=> 'NET_SFTP_HANDLE',
+            /* the format of SSH_FXP_NAME changed between SFTPv3 and SFTPv4+:
+                   SFTPv4+: http://tools.ietf.org/html/draft-ietf-secsh-filexfer-13#section-9.4
+               pre-SFTPv4 : http://tools.ietf.org/html/draft-ietf-secsh-filexfer-02#section-7 */
+            103=> 'NET_SFTP_DATA',
+            104=> 'NET_SFTP_NAME',
+            105=> 'NET_SFTP_ATTRS',
+
+            200=> 'NET_SFTP_EXTENDED'
+        ];
+        $this->status_codes = [
+            0 => 'NET_SFTP_STATUS_OK',
+            1 => 'NET_SFTP_STATUS_EOF',
+            2 => 'NET_SFTP_STATUS_NO_SUCH_FILE',
+            3 => 'NET_SFTP_STATUS_PERMISSION_DENIED',
+            4 => 'NET_SFTP_STATUS_FAILURE',
+            5 => 'NET_SFTP_STATUS_BAD_MESSAGE',
+            6 => 'NET_SFTP_STATUS_NO_CONNECTION',
+            7 => 'NET_SFTP_STATUS_CONNECTION_LOST',
+            8 => 'NET_SFTP_STATUS_OP_UNSUPPORTED',
+            9 => 'NET_SFTP_STATUS_INVALID_HANDLE',
+            10 => 'NET_SFTP_STATUS_NO_SUCH_PATH',
+            11 => 'NET_SFTP_STATUS_FILE_ALREADY_EXISTS',
+            12 => 'NET_SFTP_STATUS_WRITE_PROTECT',
+            13 => 'NET_SFTP_STATUS_NO_MEDIA',
+            14 => 'NET_SFTP_STATUS_NO_SPACE_ON_FILESYSTEM',
+            15 => 'NET_SFTP_STATUS_QUOTA_EXCEEDED',
+            16 => 'NET_SFTP_STATUS_UNKNOWN_PRINCIPAL',
+            17 => 'NET_SFTP_STATUS_LOCK_CONFLICT',
+            18 => 'NET_SFTP_STATUS_DIR_NOT_EMPTY',
+            19 => 'NET_SFTP_STATUS_NOT_A_DIRECTORY',
+            20 => 'NET_SFTP_STATUS_INVALID_FILENAME',
+            21 => 'NET_SFTP_STATUS_LINK_LOOP',
+            22 => 'NET_SFTP_STATUS_CANNOT_DELETE',
+            23 => 'NET_SFTP_STATUS_INVALID_PARAMETER',
+            24 => 'NET_SFTP_STATUS_FILE_IS_A_DIRECTORY',
+            25 => 'NET_SFTP_STATUS_BYTE_RANGE_LOCK_CONFLICT',
+            26 => 'NET_SFTP_STATUS_BYTE_RANGE_LOCK_REFUSED',
+            27 => 'NET_SFTP_STATUS_DELETE_PENDING',
+            28 => 'NET_SFTP_STATUS_FILE_CORRUPT',
+            29 => 'NET_SFTP_STATUS_OWNER_INVALID',
+            30 => 'NET_SFTP_STATUS_GROUP_INVALID',
+            31 => 'NET_SFTP_STATUS_NO_MATCHING_BYTE_RANGE_LOCK'
+        ];
+        // http://tools.ietf.org/html/draft-ietf-secsh-filexfer-13#section-7.1
+        // the order, in this case, matters quite a lot - see \phpseclib3\Net\SFTP::_parseAttributes() to understand why
+        $this->attributes = [
+            0x00000001 => 'NET_SFTP_ATTR_SIZE',
+            0x00000002 => 'NET_SFTP_ATTR_UIDGID', // defined in SFTPv3, removed in SFTPv4+
+            0x00000004 => 'NET_SFTP_ATTR_PERMISSIONS',
+            0x00000008 => 'NET_SFTP_ATTR_ACCESSTIME',
+            // 0x80000000 will yield a floating point on 32-bit systems and converting floating points to integers
+            // yields inconsistent behavior depending on how php is compiled.  so we left shift -1 (which, in
+            // two's compliment, consists of all 1 bits) by 31.  on 64-bit systems this'll yield 0xFFFFFFFF80000000.
+            // that's not a problem, however, and 'anded' and a 32-bit number, as all the leading 1 bits are ignored.
+            (-1 << 31) & 0xFFFFFFFF => 'NET_SFTP_ATTR_EXTENDED'
+        ];
+        // http://tools.ietf.org/html/draft-ietf-secsh-filexfer-04#section-6.3
+        // the flag definitions change somewhat in SFTPv5+.  if SFTPv5+ support is added to this library, maybe name
+        // the array for that $this->open5_flags and similarly alter the constant names.
+        $this->open_flags = [
+            0x00000001 => 'NET_SFTP_OPEN_READ',
+            0x00000002 => 'NET_SFTP_OPEN_WRITE',
+            0x00000004 => 'NET_SFTP_OPEN_APPEND',
+            0x00000008 => 'NET_SFTP_OPEN_CREATE',
+            0x00000010 => 'NET_SFTP_OPEN_TRUNCATE',
+            0x00000020 => 'NET_SFTP_OPEN_EXCL'
+        ];
+        // http://tools.ietf.org/html/draft-ietf-secsh-filexfer-04#section-5.2
+        // see \phpseclib3\Net\SFTP::_parseLongname() for an explanation
+        $this->file_types = [
+            1 => 'NET_SFTP_TYPE_REGULAR',
+            2 => 'NET_SFTP_TYPE_DIRECTORY',
+            3 => 'NET_SFTP_TYPE_SYMLINK',
+            4 => 'NET_SFTP_TYPE_SPECIAL',
+            5 => 'NET_SFTP_TYPE_UNKNOWN',
+            // the following types were first defined for use in SFTPv5+
+            // http://tools.ietf.org/html/draft-ietf-secsh-filexfer-05#section-5.2
+            6 => 'NET_SFTP_TYPE_SOCKET',
+            7 => 'NET_SFTP_TYPE_CHAR_DEVICE',
+            8 => 'NET_SFTP_TYPE_BLOCK_DEVICE',
+            9 => 'NET_SFTP_TYPE_FIFO'
+        ];
+        $this->define_array(
+            $this->packet_types,
+            $this->status_codes,
+            $this->attributes,
+            $this->open_flags,
+            $this->file_types
+        );
+
+        if (!defined('NET_SFTP_QUEUE_SIZE')) {
+            define('NET_SFTP_QUEUE_SIZE', 32);
+        }
+        if (!defined('NET_SFTP_UPLOAD_QUEUE_SIZE')) {
+            define('NET_SFTP_UPLOAD_QUEUE_SIZE', 1024);
+        }
+    }
+
+    /**
+     * Login
+     *
+     * @param string $username
+     * @param string[] ...$args
+     * @throws \UnexpectedValueException on receipt of unexpected packets
+     * @return bool
+     * @access public
+     */
+    public function login($username, ...$args)
+    {
+        if (!parent::login(...func_get_args())) {
+            return false;
+        }
+
+        $this->window_size_server_to_client[self::CHANNEL] = $this->window_size;
+
+        $packet = Strings::packSSH2(
+            'CsN3',
+            NET_SSH2_MSG_CHANNEL_OPEN,
+            'session',
+            self::CHANNEL,
+            $this->window_size,
+            0x4000
+        );
+
+        $this->send_binary_packet($packet);
+
+        $this->channel_status[self::CHANNEL] = NET_SSH2_MSG_CHANNEL_OPEN;
+
+        $response = $this->get_channel_packet(self::CHANNEL, true);
+        if ($response === false) {
+            return false;
+        }
+
+        $packet = Strings::packSSH2(
+            'CNsbs',
+            NET_SSH2_MSG_CHANNEL_REQUEST,
+            $this->server_channels[self::CHANNEL],
+            'subsystem',
+            true,
+            'sftp'
+        );
+        $this->send_binary_packet($packet);
+
+        $this->channel_status[self::CHANNEL] = NET_SSH2_MSG_CHANNEL_REQUEST;
+
+        $response = $this->get_channel_packet(self::CHANNEL, true);
+        if ($response === false) {
+            // from PuTTY's psftp.exe
+            $command = "test -x /usr/lib/sftp-server && exec /usr/lib/sftp-server\n" .
+                       "test -x /usr/local/lib/sftp-server && exec /usr/local/lib/sftp-server\n" .
+                       "exec sftp-server";
+            // we don't do $this->exec($command, false) because exec() operates on a different channel and plus the SSH_MSG_CHANNEL_OPEN that exec() does
+            // is redundant
+            $packet = Strings::packSSH2(
+                'CNsCs',
+                NET_SSH2_MSG_CHANNEL_REQUEST,
+                $this->server_channels[self::CHANNEL],
+                'exec',
+                1,
+                $command
+            );
+            $this->send_binary_packet($packet);
+
+            $this->channel_status[self::CHANNEL] = NET_SSH2_MSG_CHANNEL_REQUEST;
+
+            $response = $this->get_channel_packet(self::CHANNEL, true);
+            if ($response === false) {
+                return false;
+            }
+        }
+
+        $this->channel_status[self::CHANNEL] = NET_SSH2_MSG_CHANNEL_DATA;
+
+        if (!$this->send_sftp_packet(NET_SFTP_INIT, "\0\0\0\3")) {
+            return false;
+        }
+
+        $response = $this->get_sftp_packet();
+        if ($this->packet_type != NET_SFTP_VERSION) {
+            throw new \UnexpectedValueException('Expected NET_SFTP_VERSION. '
+                                              . 'Got packet type: ' . $this->packet_type);
+        }
+
+        list($this->version) = Strings::unpackSSH2('N', $response);
+        while (!empty($response)) {
+            list($key, $value) = Strings::unpackSSH2('ss', $response);
+            $this->extensions[$key] = $value;
+        }
+
+        /*
+         SFTPv4+ defines a 'newline' extension.  SFTPv3 seems to have unofficial support for it via 'newline@vandyke.com',
+         however, I'm not sure what 'newline@vandyke.com' is supposed to do (the fact that it's unofficial means that it's
+         not in the official SFTPv3 specs) and 'newline@vandyke.com' / 'newline' are likely not drop-in substitutes for
+         one another due to the fact that 'newline' comes with a SSH_FXF_TEXT bitmask whereas it seems unlikely that
+         'newline@vandyke.com' would.
+        */
+        /*
+        if (isset($this->extensions['newline@vandyke.com'])) {
+            $this->extensions['newline'] = $this->extensions['newline@vandyke.com'];
+            unset($this->extensions['newline@vandyke.com']);
+        }
+        */
+
+        $this->use_request_id = true;
+
+        /*
+         A Note on SFTPv4/5/6 support:
+         <http://tools.ietf.org/html/draft-ietf-secsh-filexfer-13#section-5.1> states the following:
+
+         "If the client wishes to interoperate with servers that support noncontiguous version
+          numbers it SHOULD send '3'"
+
+         Given that the server only sends its version number after the client has already done so, the above
+         seems to be suggesting that v3 should be the default version.  This makes sense given that v3 is the
+         most popular.
+
+         <http://tools.ietf.org/html/draft-ietf-secsh-filexfer-13#section-5.5> states the following;
+
+         "If the server did not send the "versions" extension, or the version-from-list was not included, the
+          server MAY send a status response describing the failure, but MUST then close the channel without
+          processing any further requests."
+
+         So what do you do if you have a client whose initial SSH_FXP_INIT packet says it implements v3 and
+         a server whose initial SSH_FXP_VERSION reply says it implements v4 and only v4?  If it only implements
+         v4, the "versions" extension is likely not going to have been sent so version re-negotiation as discussed
+         in draft-ietf-secsh-filexfer-13 would be quite impossible.  As such, what \phpseclib3\Net\SFTP would do is close the
+         channel and reopen it with a new and updated SSH_FXP_INIT packet.
+        */
+        switch ($this->version) {
+            case 2:
+            case 3:
+                break;
+            default:
+                return false;
+        }
+
+        $this->pwd = $this->realpath('.');
+
+        $this->update_stat_cache($this->pwd, []);
+
+        return true;
+    }
+
+    /**
+     * Disable the stat cache
+     *
+     * @access public
+     */
+    function disableStatCache()
+    {
+        $this->use_stat_cache = false;
+    }
+
+    /**
+     * Enable the stat cache
+     *
+     * @access public
+     */
+    public function enableStatCache()
+    {
+        $this->use_stat_cache = true;
+    }
+
+    /**
+     * Clear the stat cache
+     *
+     * @access public
+     */
+    public function clearStatCache()
+    {
+        $this->stat_cache = [];
+    }
+
+    /**
+     * Enable path canonicalization
+     *
+     * @access public
+     */
+    public function enablePathCanonicalization()
+    {
+        $this->canonicalize_paths = true;
+    }
+
+    /**
+     * Enable path canonicalization
+     *
+     * @access public
+     */
+    public function disablePathCanonicalization()
+    {
+        $this->canonicalize_paths = false;
+    }
+
+    /**
+     * Returns the current directory name
+     *
+     * @return mixed
+     * @access public
+     */
+    public function pwd()
+    {
+        return $this->pwd;
+    }
+
+    /**
+     * Logs errors
+     *
+     * @param string $response
+     * @param int $status
+     * @access private
+     */
+    private function logError($response, $status = -1)
+    {
+        if ($status == -1) {
+            list($status) = Strings::unpackSSH2('N', $response);
+        }
+
+        list($error) = $this->status_codes[$status];
+
+        if ($this->version > 2) {
+            list($message) = Strings::unpackSSH2('s', $response);
+            $this->sftp_errors[] = "$error: $message";
+        } else {
+            $this->sftp_errors[] = $error;
+        }
+    }
+
+    /**
+     * Canonicalize the Server-Side Path Name
+     *
+     * SFTP doesn't provide a mechanism by which the current working directory can be changed, so we'll emulate it.  Returns
+     * the absolute (canonicalized) path.
+     *
+     * If canonicalize_paths has been disabled using disablePathCanonicalization(), $path is returned as-is.
+     *
+     * @see self::chdir()
+     * @see self::disablePathCanonicalization()
+     * @param string $path
+     * @throws \UnexpectedValueException on receipt of unexpected packets
+     * @return mixed
+     * @access public
+     */
+    public function realpath($path)
+    {
+        if (!$this->canonicalize_paths) {
+            return $path;
+        }
+
+        if ($this->pwd === false) {
+            // http://tools.ietf.org/html/draft-ietf-secsh-filexfer-13#section-8.9
+            if (!$this->send_sftp_packet(NET_SFTP_REALPATH, Strings::packSSH2('s', $path))) {
+                return false;
+            }
+
+            $response = $this->get_sftp_packet();
+            switch ($this->packet_type) {
+                case NET_SFTP_NAME:
+                    // although SSH_FXP_NAME is implemented differently in SFTPv3 than it is in SFTPv4+, the following
+                    // should work on all SFTP versions since the only part of the SSH_FXP_NAME packet the following looks
+                    // at is the first part and that part is defined the same in SFTP versions 3 through 6.
+                    list(, $filename) = Strings::unpackSSH2('Ns', $response);
+                    return $filename;
+                case NET_SFTP_STATUS:
+                    $this->logError($response);
+                    return false;
+                default:
+                    throw new \UnexpectedValueException('Expected NET_SFTP_NAME or NET_SFTP_STATUS. '
+                                                      . 'Got packet type: ' . $this->packet_type);
+            }
+        }
+
+        if (!strlen($path) || $path[0] != '/') {
+            $path = $this->pwd . '/' . $path;
+        }
+
+        $path = explode('/', $path);
+        $new = [];
+        foreach ($path as $dir) {
+            if (!strlen($dir)) {
+                continue;
+            }
+            switch ($dir) {
+                case '..':
+                    array_pop($new);
+                case '.':
+                    break;
+                default:
+                    $new[] = $dir;
+            }
+        }
+
+        return '/' . implode('/', $new);
+    }
+
+    /**
+     * Changes the current directory
+     *
+     * @param string $dir
+     * @throws \UnexpectedValueException on receipt of unexpected packets
+     * @return bool
+     * @access public
+     */
+    public function chdir($dir)
+    {
+        if (!($this->bitmap & SSH2::MASK_LOGIN)) {
+            return false;
+        }
+
+        // assume current dir if $dir is empty
+        if ($dir === '') {
+            $dir = './';
+        // suffix a slash if needed
+        } elseif ($dir[strlen($dir) - 1] != '/') {
+            $dir.= '/';
+        }
+
+        $dir = $this->realpath($dir);
+
+        // confirm that $dir is, in fact, a valid directory
+        if ($this->use_stat_cache && is_array($this->query_stat_cache($dir))) {
+            $this->pwd = $dir;
+            return true;
+        }
+
+        // we could do a stat on the alleged $dir to see if it's a directory but that doesn't tell us
+        // the currently logged in user has the appropriate permissions or not. maybe you could see if
+        // the file's uid / gid match the currently logged in user's uid / gid but how there's no easy
+        // way to get those with SFTP
+
+        if (!$this->send_sftp_packet(NET_SFTP_OPENDIR, Strings::packSSH2('s', $dir))) {
+            return false;
+        }
+
+        // see \phpseclib3\Net\SFTP::nlist() for a more thorough explanation of the following
+        $response = $this->get_sftp_packet();
+        switch ($this->packet_type) {
+            case NET_SFTP_HANDLE:
+                $handle = substr($response, 4);
+                break;
+            case NET_SFTP_STATUS:
+                $this->logError($response);
+                return false;
+            default:
+                throw new \UnexpectedValueException('Expected NET_SFTP_HANDLE or NET_SFTP_STATUS' .
+                                                    'Got packet type: ' . $this->packet_type);
+        }
+
+        if (!$this->close_handle($handle)) {
+            return false;
+        }
+
+        $this->update_stat_cache($dir, []);
+
+        $this->pwd = $dir;
+        return true;
+    }
+
+    /**
+     * Returns a list of files in the given directory
+     *
+     * @param string $dir
+     * @param bool $recursive
+     * @return mixed
+     * @access public
+     */
+    public function nlist($dir = '.', $recursive = false)
+    {
+        return $this->nlist_helper($dir, $recursive, '');
+    }
+
+    /**
+     * Helper method for nlist
+     *
+     * @param string $dir
+     * @param bool $recursive
+     * @param string $relativeDir
+     * @return mixed
+     * @access private
+     */
+    private function nlist_helper($dir, $recursive, $relativeDir)
+    {
+        $files = $this->readlist($dir, false);
+
+        if (!$recursive || $files === false) {
+            return $files;
+        }
+
+        $result = [];
+        foreach ($files as $value) {
+            if ($value == '.' || $value == '..') {
+                $result[] = $relativeDir . $value;
+                continue;
+            }
+            if (is_array($this->query_stat_cache($this->realpath($dir . '/' . $value)))) {
+                $temp = $this->nlist_helper($dir . '/' . $value, true, $relativeDir . $value . '/');
+                $temp = is_array($temp) ? $temp : [];
+                $result = array_merge($result, $temp);
+            } else {
+                $result[] = $relativeDir . $value;
+            }
+        }
+
+        return $result;
+    }
+
+    /**
+     * Returns a detailed list of files in the given directory
+     *
+     * @param string $dir
+     * @param bool $recursive
+     * @return mixed
+     * @access public
+     */
+    public function rawlist($dir = '.', $recursive = false)
+    {
+        $files = $this->readlist($dir, true);
+        if (!$recursive || $files === false) {
+            return $files;
+        }
+
+        static $depth = 0;
+
+        foreach ($files as $key => $value) {
+            if ($depth != 0 && $key == '..') {
+                unset($files[$key]);
+                continue;
+            }
+            $is_directory = false;
+            if ($key != '.' && $key != '..') {
+                if ($this->use_stat_cache) {
+                    $is_directory = is_array($this->query_stat_cache($this->realpath($dir . '/' . $key)));
+                } else {
+                    $stat = $this->lstat($dir . '/' . $key);
+                    $is_directory = $stat && $stat['type'] === NET_SFTP_TYPE_DIRECTORY;
+                }
+            }
+
+            if ($is_directory) {
+                $depth++;
+                $files[$key] = $this->rawlist($dir . '/' . $key, true);
+                $depth--;
+            } else {
+                $files[$key] = (object) $value;
+            }
+        }
+
+        return $files;
+    }
+
+    /**
+     * Reads a list, be it detailed or not, of files in the given directory
+     *
+     * @param string $dir
+     * @param bool $raw
+     * @return mixed
+     * @throws \UnexpectedValueException on receipt of unexpected packets
+     * @access private
+     */
+    private function readlist($dir, $raw = true)
+    {
+        if (!($this->bitmap & SSH2::MASK_LOGIN)) {
+            return false;
+        }
+
+        $dir = $this->realpath($dir . '/');
+        if ($dir === false) {
+            return false;
+        }
+
+        // http://tools.ietf.org/html/draft-ietf-secsh-filexfer-13#section-8.1.2
+        if (!$this->send_sftp_packet(NET_SFTP_OPENDIR, Strings::packSSH2('s', $dir))) {
+            return false;
+        }
+
+        $response = $this->get_sftp_packet();
+        switch ($this->packet_type) {
+            case NET_SFTP_HANDLE:
+                // http://tools.ietf.org/html/draft-ietf-secsh-filexfer-13#section-9.2
+                // since 'handle' is the last field in the SSH_FXP_HANDLE packet, we'll just remove the first four bytes that
+                // represent the length of the string and leave it at that
+                $handle = substr($response, 4);
+                break;
+            case NET_SFTP_STATUS:
+                // presumably SSH_FX_NO_SUCH_FILE or SSH_FX_PERMISSION_DENIED
+                $this->logError($response);
+                return false;
+            default:
+                throw new \UnexpectedValueException('Expected NET_SFTP_HANDLE or NET_SFTP_STATUS. '
+                                                  . 'Got packet type: ' . $this->packet_type);
+        }
+
+        $this->update_stat_cache($dir, []);
+
+        $contents = [];
+        while (true) {
+            // http://tools.ietf.org/html/draft-ietf-secsh-filexfer-13#section-8.2.2
+            // why multiple SSH_FXP_READDIR packets would be sent when the response to a single one can span arbitrarily many
+            // SSH_MSG_CHANNEL_DATA messages is not known to me.
+            if (!$this->send_sftp_packet(NET_SFTP_READDIR, Strings::packSSH2('s', $handle))) {
+                return false;
+            }
+
+            $response = $this->get_sftp_packet();
+            switch ($this->packet_type) {
+                case NET_SFTP_NAME:
+                    list($count) = Strings::unpackSSH2('N', $response);
+                    for ($i = 0; $i < $count; $i++) {
+                        list($shortname, $longname) = Strings::unpackSSH2('ss', $response);
+                        $attributes = $this->parseAttributes($response);
+                        if (!isset($attributes['type'])) {
+                            $fileType = $this->parseLongname($longname);
+                            if ($fileType) {
+                                $attributes['type'] = $fileType;
+                            }
+                        }
+                        $contents[$shortname] = $attributes + ['filename' => $shortname];
+
+                        if (isset($attributes['type']) && $attributes['type'] == NET_SFTP_TYPE_DIRECTORY && ($shortname != '.' && $shortname != '..')) {
+                            $this->update_stat_cache($dir . '/' . $shortname, []);
+                        } else {
+                            if ($shortname == '..') {
+                                $temp = $this->realpath($dir . '/..') . '/.';
+                            } else {
+                                $temp = $dir . '/' . $shortname;
+                            }
+                            $this->update_stat_cache($temp, (object) ['lstat' => $attributes]);
+                        }
+                        // SFTPv6 has an optional boolean end-of-list field, but we'll ignore that, since the
+                        // final SSH_FXP_STATUS packet should tell us that, already.
+                    }
+                    break;
+                case NET_SFTP_STATUS:
+                    list($status) = Strings::unpackSSH2('N', $response);
+                    if ($status != NET_SFTP_STATUS_EOF) {
+                        $this->logError($response, $status);
+                        return false;
+                    }
+                    break 2;
+                default:
+                    throw new \UnexpectedValueException('Expected NET_SFTP_NAME or NET_SFTP_STATUS. '
+                                                      . 'Got packet type: ' . $this->packet_type);
+            }
+        }
+
+        if (!$this->close_handle($handle)) {
+            return false;
+        }
+
+        if (count($this->sortOptions)) {
+            uasort($contents, [&$this, 'comparator']);
+        }
+
+        return $raw ? $contents : array_keys($contents);
+    }
+
+    /**
+     * Compares two rawlist entries using parameters set by setListOrder()
+     *
+     * Intended for use with uasort()
+     *
+     * @param array $a
+     * @param array $b
+     * @return int
+     * @access private
+     */
+    private function comparator($a, $b)
+    {
+        switch (true) {
+            case $a['filename'] === '.' || $b['filename'] === '.':
+                if ($a['filename'] === $b['filename']) {
+                    return 0;
+                }
+                return $a['filename'] === '.' ? -1 : 1;
+            case $a['filename'] === '..' || $b['filename'] === '..':
+                if ($a['filename'] === $b['filename']) {
+                    return 0;
+                }
+                return $a['filename'] === '..' ? -1 : 1;
+            case isset($a['type']) && $a['type'] === NET_SFTP_TYPE_DIRECTORY:
+                if (!isset($b['type'])) {
+                    return 1;
+                }
+                if ($b['type'] !== $a['type']) {
+                    return -1;
+                }
+                break;
+            case isset($b['type']) && $b['type'] === NET_SFTP_TYPE_DIRECTORY:
+                return 1;
+        }
+        foreach ($this->sortOptions as $sort => $order) {
+            if (!isset($a[$sort]) || !isset($b[$sort])) {
+                if (isset($a[$sort])) {
+                    return -1;
+                }
+                if (isset($b[$sort])) {
+                    return 1;
+                }
+                return 0;
+            }
+            switch ($sort) {
+                case 'filename':
+                    $result = strcasecmp($a['filename'], $b['filename']);
+                    if ($result) {
+                        return $order === SORT_DESC ? -$result : $result;
+                    }
+                    break;
+                case 'mode':
+                    $a[$sort]&= 07777;
+                    $b[$sort]&= 07777;
+                default:
+                    if ($a[$sort] === $b[$sort]) {
+                        break;
+                    }
+                    return $order === SORT_ASC ? $a[$sort] - $b[$sort] : $b[$sort] - $a[$sort];
+            }
+        }
+    }
+
+    /**
+     * Defines how nlist() and rawlist() will be sorted - if at all.
+     *
+     * If sorting is enabled directories and files will be sorted independently with
+     * directories appearing before files in the resultant array that is returned.
+     *
+     * Any parameter returned by stat is a valid sort parameter for this function.
+     * Filename comparisons are case insensitive.
+     *
+     * Examples:
+     *
+     * $sftp->setListOrder('filename', SORT_ASC);
+     * $sftp->setListOrder('size', SORT_DESC, 'filename', SORT_ASC);
+     * $sftp->setListOrder(true);
+     *    Separates directories from files but doesn't do any sorting beyond that
+     * $sftp->setListOrder();
+     *    Don't do any sort of sorting
+     *
+     * @param string[] ...$args
+     * @access public
+     */
+    public function setListOrder(...$args)
+    {
+        $this->sortOptions = [];
+        if (empty($args)) {
+            return;
+        }
+        $len = count($args) & 0x7FFFFFFE;
+        for ($i = 0; $i < $len; $i+=2) {
+            $this->sortOptions[$args[$i]] = $args[$i + 1];
+        }
+        if (!count($this->sortOptions)) {
+            $this->sortOptions = ['bogus' => true];
+        }
+    }
+
+    /**
+     * Save files / directories to cache
+     *
+     * @param string $path
+     * @param mixed $value
+     * @access private
+     */
+    private function update_stat_cache($path, $value)
+    {
+        if ($this->use_stat_cache === false) {
+            return;
+        }
+
+        // preg_replace('#^/|/(?=/)|/$#', '', $dir) == str_replace('//', '/', trim($path, '/'))
+        $dirs = explode('/', preg_replace('#^/|/(?=/)|/$#', '', $path));
+
+        $temp = &$this->stat_cache;
+        $max = count($dirs) - 1;
+        foreach ($dirs as $i => $dir) {
+            // if $temp is an object that means one of two things.
+            //  1. a file was deleted and changed to a directory behind phpseclib's back
+            //  2. it's a symlink. when lstat is done it's unclear what it's a symlink to
+            if (is_object($temp)) {
+                $temp = [];
+            }
+            if (!isset($temp[$dir])) {
+                $temp[$dir] = [];
+            }
+            if ($i === $max) {
+                if (is_object($temp[$dir]) && is_object($value)) {
+                    if (!isset($value->stat) && isset($temp[$dir]->stat)) {
+                        $value->stat = $temp[$dir]->stat;
+                    }
+                    if (!isset($value->lstat) && isset($temp[$dir]->lstat)) {
+                        $value->lstat = $temp[$dir]->lstat;
+                    }
+                }
+                $temp[$dir] = $value;
+                break;
+            }
+            $temp = &$temp[$dir];
+        }
+    }
+
+    /**
+     * Remove files / directories from cache
+     *
+     * @param string $path
+     * @return bool
+     * @access private
+     */
+    private function remove_from_stat_cache($path)
+    {
+        $dirs = explode('/', preg_replace('#^/|/(?=/)|/$#', '', $path));
+
+        $temp = &$this->stat_cache;
+        $max = count($dirs) - 1;
+        foreach ($dirs as $i => $dir) {
+            if (!is_array($temp)) {
+                return false;
+            }
+            if ($i === $max) {
+                unset($temp[$dir]);
+                return true;
+            }
+            if (!isset($temp[$dir])) {
+                return false;
+            }
+            $temp = &$temp[$dir];
+        }
+    }
+
+    /**
+     * Checks cache for path
+     *
+     * Mainly used by file_exists
+     *
+     * @param string $path
+     * @return mixed
+     * @access private
+     */
+    private function query_stat_cache($path)
+    {
+        $dirs = explode('/', preg_replace('#^/|/(?=/)|/$#', '', $path));
+
+        $temp = &$this->stat_cache;
+        foreach ($dirs as $dir) {
+            if (!is_array($temp)) {
+                return null;
+            }
+            if (!isset($temp[$dir])) {
+                return null;
+            }
+            $temp = &$temp[$dir];
+        }
+        return $temp;
+    }
+
+    /**
+     * Returns general information about a file.
+     *
+     * Returns an array on success and false otherwise.
+     *
+     * @param string $filename
+     * @return mixed
+     * @access public
+     */
+    public function stat($filename)
+    {
+        if (!($this->bitmap & SSH2::MASK_LOGIN)) {
+            return false;
+        }
+
+        $filename = $this->realpath($filename);
+        if ($filename === false) {
+            return false;
+        }
+
+        if ($this->use_stat_cache) {
+            $result = $this->query_stat_cache($filename);
+            if (is_array($result) && isset($result['.']) && isset($result['.']->stat)) {
+                return $result['.']->stat;
+            }
+            if (is_object($result) && isset($result->stat)) {
+                return $result->stat;
+            }
+        }
+
+        $stat = $this->stat_helper($filename, NET_SFTP_STAT);
+        if ($stat === false) {
+            $this->remove_from_stat_cache($filename);
+            return false;
+        }
+        if (isset($stat['type'])) {
+            if ($stat['type'] == NET_SFTP_TYPE_DIRECTORY) {
+                $filename.= '/.';
+            }
+            $this->update_stat_cache($filename, (object) ['stat' => $stat]);
+            return $stat;
+        }
+
+        $pwd = $this->pwd;
+        $stat['type'] = $this->chdir($filename) ?
+            NET_SFTP_TYPE_DIRECTORY :
+            NET_SFTP_TYPE_REGULAR;
+        $this->pwd = $pwd;
+
+        if ($stat['type'] == NET_SFTP_TYPE_DIRECTORY) {
+            $filename.= '/.';
+        }
+        $this->update_stat_cache($filename, (object) ['stat' => $stat]);
+
+        return $stat;
+    }
+
+    /**
+     * Returns general information about a file or symbolic link.
+     *
+     * Returns an array on success and false otherwise.
+     *
+     * @param string $filename
+     * @return mixed
+     * @access public
+     */
+    public function lstat($filename)
+    {
+        if (!($this->bitmap & SSH2::MASK_LOGIN)) {
+            return false;
+        }
+
+        $filename = $this->realpath($filename);
+        if ($filename === false) {
+            return false;
+        }
+
+        if ($this->use_stat_cache) {
+            $result = $this->query_stat_cache($filename);
+            if (is_array($result) && isset($result['.']) && isset($result['.']->lstat)) {
+                return $result['.']->lstat;
+            }
+            if (is_object($result) && isset($result->lstat)) {
+                return $result->lstat;
+            }
+        }
+
+        $lstat = $this->stat_helper($filename, NET_SFTP_LSTAT);
+        if ($lstat === false) {
+            $this->remove_from_stat_cache($filename);
+            return false;
+        }
+        if (isset($lstat['type'])) {
+            if ($lstat['type'] == NET_SFTP_TYPE_DIRECTORY) {
+                $filename.= '/.';
+            }
+            $this->update_stat_cache($filename, (object) ['lstat' => $lstat]);
+            return $lstat;
+        }
+
+        $stat = $this->stat_helper($filename, NET_SFTP_STAT);
+
+        if ($lstat != $stat) {
+            $lstat = array_merge($lstat, ['type' => NET_SFTP_TYPE_SYMLINK]);
+            $this->update_stat_cache($filename, (object) ['lstat' => $lstat]);
+            return $stat;
+        }
+
+        $pwd = $this->pwd;
+        $lstat['type'] = $this->chdir($filename) ?
+            NET_SFTP_TYPE_DIRECTORY :
+            NET_SFTP_TYPE_REGULAR;
+        $this->pwd = $pwd;
+
+        if ($lstat['type'] == NET_SFTP_TYPE_DIRECTORY) {
+            $filename.= '/.';
+        }
+        $this->update_stat_cache($filename, (object) ['lstat' => $lstat]);
+
+        return $lstat;
+    }
+
+    /**
+     * Returns general information about a file or symbolic link
+     *
+     * Determines information without calling \phpseclib3\Net\SFTP::realpath().
+     * The second parameter can be either NET_SFTP_STAT or NET_SFTP_LSTAT.
+     *
+     * @param string $filename
+     * @param int $type
+     * @throws \UnexpectedValueException on receipt of unexpected packets
+     * @return mixed
+     * @access private
+     */
+    private function stat_helper($filename, $type)
+    {
+        // SFTPv4+ adds an additional 32-bit integer field - flags - to the following:
+        $packet = Strings::packSSH2('s', $filename);
+        if (!$this->send_sftp_packet($type, $packet)) {
+            return false;
+        }
+
+        $response = $this->get_sftp_packet();
+        switch ($this->packet_type) {
+            case NET_SFTP_ATTRS:
+                return $this->parseAttributes($response);
+            case NET_SFTP_STATUS:
+                $this->logError($response);
+                return false;
+        }
+
+        throw new \UnexpectedValueException('Expected NET_SFTP_ATTRS or NET_SFTP_STATUS. '
+                                          . 'Got packet type: ' . $this->packet_type);
+    }
+
+    /**
+     * Truncates a file to a given length
+     *
+     * @param string $filename
+     * @param int $new_size
+     * @return bool
+     * @access public
+     */
+    public function truncate($filename, $new_size)
+    {
+        $attr = pack('N3', NET_SFTP_ATTR_SIZE, $new_size / 4294967296, $new_size); // 4294967296 == 0x100000000 == 1<<32
+
+        return $this->setstat($filename, $attr, false);
+    }
+
+    /**
+     * Sets access and modification time of file.
+     *
+     * If the file does not exist, it will be created.
+     *
+     * @param string $filename
+     * @param int $time
+     * @param int $atime
+     * @throws \UnexpectedValueException on receipt of unexpected packets
+     * @return bool
+     * @access public
+     */
+    public function touch($filename, $time = null, $atime = null)
+    {
+        if (!($this->bitmap & SSH2::MASK_LOGIN)) {
+            return false;
+        }
+
+        $filename = $this->realpath($filename);
+        if ($filename === false) {
+            return false;
+        }
+
+        if (!isset($time)) {
+            $time = time();
+        }
+        if (!isset($atime)) {
+            $atime = $time;
+        }
+
+        $flags = NET_SFTP_OPEN_WRITE | NET_SFTP_OPEN_CREATE | NET_SFTP_OPEN_EXCL;
+        $attr = pack('N3', NET_SFTP_ATTR_ACCESSTIME, $time, $atime);
+        $packet = Strings::packSSH2('sN', $filename, $flags) . $attr;
+        if (!$this->send_sftp_packet(NET_SFTP_OPEN, $packet)) {
+            return false;
+        }
+
+        $response = $this->get_sftp_packet();
+        switch ($this->packet_type) {
+            case NET_SFTP_HANDLE:
+                return $this->close_handle(substr($response, 4));
+            case NET_SFTP_STATUS:
+                $this->logError($response);
+                break;
+            default:
+                throw new \UnexpectedValueException('Expected NET_SFTP_HANDLE or NET_SFTP_STATUS. '
+                                                  . 'Got packet type: ' . $this->packet_type);
+        }
+
+        return $this->setstat($filename, $attr, false);
+    }
+
+    /**
+     * Changes file or directory owner
+     *
+     * Returns true on success or false on error.
+     *
+     * @param string $filename
+     * @param int $uid
+     * @param bool $recursive
+     * @return bool
+     * @access public
+     */
+    public function chown($filename, $uid, $recursive = false)
+    {
+        // quoting from <http://www.kernel.org/doc/man-pages/online/pages/man2/chown.2.html>,
+        // "if the owner or group is specified as -1, then that ID is not changed"
+        $attr = pack('N3', NET_SFTP_ATTR_UIDGID, $uid, -1);
+
+        return $this->setstat($filename, $attr, $recursive);
+    }
+
+    /**
+     * Changes file or directory group
+     *
+     * Returns true on success or false on error.
+     *
+     * @param string $filename
+     * @param int $gid
+     * @param bool $recursive
+     * @return bool
+     * @access public
+     */
+    public function chgrp($filename, $gid, $recursive = false)
+    {
+        $attr = pack('N3', NET_SFTP_ATTR_UIDGID, -1, $gid);
+
+        return $this->setstat($filename, $attr, $recursive);
+    }
+
+    /**
+     * Set permissions on a file.
+     *
+     * Returns the new file permissions on success or false on error.
+     * If $recursive is true than this just returns true or false.
+     *
+     * @param int $mode
+     * @param string $filename
+     * @param bool $recursive
+     * @throws \UnexpectedValueException on receipt of unexpected packets
+     * @return mixed
+     * @access public
+     */
+    public function chmod($mode, $filename, $recursive = false)
+    {
+        if (is_string($mode) && is_int($filename)) {
+            $temp = $mode;
+            $mode = $filename;
+            $filename = $temp;
+        }
+
+        $attr = pack('N2', NET_SFTP_ATTR_PERMISSIONS, $mode & 07777);
+        if (!$this->setstat($filename, $attr, $recursive)) {
+            return false;
+        }
+        if ($recursive) {
+            return true;
+        }
+
+        $filename = $this->realpath($filename);
+        // rather than return what the permissions *should* be, we'll return what they actually are.  this will also
+        // tell us if the file actually exists.
+        // incidentally, SFTPv4+ adds an additional 32-bit integer field - flags - to the following:
+        $packet = pack('Na*', strlen($filename), $filename);
+        if (!$this->send_sftp_packet(NET_SFTP_STAT, $packet)) {
+            return false;
+        }
+
+        $response = $this->get_sftp_packet();
+        switch ($this->packet_type) {
+            case NET_SFTP_ATTRS:
+                $attrs = $this->parseAttributes($response);
+                return $attrs['mode'];
+            case NET_SFTP_STATUS:
+                $this->logError($response);
+                return false;
+        }
+
+        throw new \UnexpectedValueException('Expected NET_SFTP_ATTRS or NET_SFTP_STATUS. '
+                                          . 'Got packet type: ' . $this->packet_type);
+    }
+
+    /**
+     * Sets information about a file
+     *
+     * @param string $filename
+     * @param string $attr
+     * @param bool $recursive
+     * @throws \UnexpectedValueException on receipt of unexpected packets
+     * @return bool
+     * @access private
+     */
+    private function setstat($filename, $attr, $recursive)
+    {
+        if (!($this->bitmap & SSH2::MASK_LOGIN)) {
+            return false;
+        }
+
+        $filename = $this->realpath($filename);
+        if ($filename === false) {
+            return false;
+        }
+
+        $this->remove_from_stat_cache($filename);
+
+        if ($recursive) {
+            $i = 0;
+            $result = $this->setstat_recursive($filename, $attr, $i);
+            $this->read_put_responses($i);
+            return $result;
+        }
+
+        // SFTPv4+ has an additional byte field - type - that would need to be sent, as well. setting it to
+        // SSH_FILEXFER_TYPE_UNKNOWN might work. if not, we'd have to do an SSH_FXP_STAT before doing an SSH_FXP_SETSTAT.
+        if (!$this->send_sftp_packet(NET_SFTP_SETSTAT, Strings::packSSH2('s', $filename) . $attr)) {
+            return false;
+        }
+
+        /*
+         "Because some systems must use separate system calls to set various attributes, it is possible that a failure
+          response will be returned, but yet some of the attributes may be have been successfully modified.  If possible,
+          servers SHOULD avoid this situation; however, clients MUST be aware that this is possible."
+
+          -- http://tools.ietf.org/html/draft-ietf-secsh-filexfer-13#section-8.6
+        */
+        $response = $this->get_sftp_packet();
+        if ($this->packet_type != NET_SFTP_STATUS) {
+            throw new \UnexpectedValueException('Expected NET_SFTP_STATUS. '
+                                              . 'Got packet type: ' . $this->packet_type);
+        }
+
+        list($status) = Strings::unpackSSH2('N', $response);
+        if ($status != NET_SFTP_STATUS_OK) {
+            $this->logError($response, $status);
+            return false;
+        }
+
+        return true;
+    }
+
+    /**
+     * Recursively sets information on directories on the SFTP server
+     *
+     * Minimizes directory lookups and SSH_FXP_STATUS requests for speed.
+     *
+     * @param string $path
+     * @param string $attr
+     * @param int $i
+     * @return bool
+     * @access private
+     */
+    private function setstat_recursive($path, $attr, &$i)
+    {
+        if (!$this->read_put_responses($i)) {
+            return false;
+        }
+        $i = 0;
+        $entries = $this->readlist($path, true);
+
+        if ($entries === false) {
+            return $this->setstat($path, $attr, false);
+        }
+
+        // normally $entries would have at least . and .. but it might not if the directories
+        // permissions didn't allow reading
+        if (empty($entries)) {
+            return false;
+        }
+
+        unset($entries['.'], $entries['..']);
+        foreach ($entries as $filename => $props) {
+            if (!isset($props['type'])) {
+                return false;
+            }
+
+            $temp = $path . '/' . $filename;
+            if ($props['type'] == NET_SFTP_TYPE_DIRECTORY) {
+                if (!$this->setstat_recursive($temp, $attr, $i)) {
+                    return false;
+                }
+            } else {
+                if (!$this->send_sftp_packet(NET_SFTP_SETSTAT, Strings::packSSH2('s', $temp) . $attr)) {
+                    return false;
+                }
+
+                $i++;
+
+                if ($i >= NET_SFTP_QUEUE_SIZE) {
+                    if (!$this->read_put_responses($i)) {
+                        return false;
+                    }
+                    $i = 0;
+                }
+            }
+        }
+
+        if (!$this->send_sftp_packet(NET_SFTP_SETSTAT, Strings::packSSH2('s', $path) . $attr)) {
+            return false;
+        }
+
+        $i++;
+
+        if ($i >= NET_SFTP_QUEUE_SIZE) {
+            if (!$this->read_put_responses($i)) {
+                return false;
+            }
+            $i = 0;
+        }
+
+        return true;
+    }
+
+    /**
+     * Return the target of a symbolic link
+     *
+     * @param string $link
+     * @throws \UnexpectedValueException on receipt of unexpected packets
+     * @return mixed
+     * @access public
+     */
+    public function readlink($link)
+    {
+        if (!($this->bitmap & SSH2::MASK_LOGIN)) {
+            return false;
+        }
+
+        $link = $this->realpath($link);
+
+        if (!$this->send_sftp_packet(NET_SFTP_READLINK, Strings::packSSH2('s', $link))) {
+            return false;
+        }
+
+        $response = $this->get_sftp_packet();
+        switch ($this->packet_type) {
+            case NET_SFTP_NAME:
+                break;
+            case NET_SFTP_STATUS:
+                $this->logError($response);
+                return false;
+            default:
+                throw new \UnexpectedValueException('Expected NET_SFTP_NAME or NET_SFTP_STATUS. '
+                                                  . 'Got packet type: ' . $this->packet_type);
+        }
+
+        list($count) = Strings::unpackSSH2('N', $response);
+        // the file isn't a symlink
+        if (!$count) {
+            return false;
+        }
+
+        list($filename) = Strings::unpackSSH2('s', $response);
+
+        return $filename;
+    }
+
+    /**
+     * Create a symlink
+     *
+     * symlink() creates a symbolic link to the existing target with the specified name link.
+     *
+     * @param string $target
+     * @param string $link
+     * @throws \UnexpectedValueException on receipt of unexpected packets
+     * @return bool
+     * @access public
+     */
+    public function symlink($target, $link)
+    {
+        if (!($this->bitmap & SSH2::MASK_LOGIN)) {
+            return false;
+        }
+
+        //$target = $this->realpath($target);
+        $link = $this->realpath($link);
+
+        $packet = Strings::packSSH2('ss', $target, $link);
+        if (!$this->send_sftp_packet(NET_SFTP_SYMLINK, $packet)) {
+            return false;
+        }
+
+        $response = $this->get_sftp_packet();
+        if ($this->packet_type != NET_SFTP_STATUS) {
+            throw new \UnexpectedValueException('Expected NET_SFTP_STATUS. '
+                                              . 'Got packet type: ' . $this->packet_type);
+        }
+
+        list($status) = Strings::unpackSSH2('N', $response);
+        if ($status != NET_SFTP_STATUS_OK) {
+            $this->logError($response, $status);
+            return false;
+        }
+
+        return true;
+    }
+
+    /**
+     * Creates a directory.
+     *
+     * @param string $dir
+     * @param int $mode
+     * @param bool $recursive
+     * @return bool
+     * @access public
+     */
+    public function mkdir($dir, $mode = -1, $recursive = false)
+    {
+        if (!($this->bitmap & SSH2::MASK_LOGIN)) {
+            return false;
+        }
+
+        $dir = $this->realpath($dir);
+
+        if ($recursive) {
+            $dirs = explode('/', preg_replace('#/(?=/)|/$#', '', $dir));
+            if (empty($dirs[0])) {
+                array_shift($dirs);
+                $dirs[0] = '/' . $dirs[0];
+            }
+            for ($i = 0; $i < count($dirs); $i++) {
+                $temp = array_slice($dirs, 0, $i + 1);
+                $temp = implode('/', $temp);
+                $result = $this->mkdir_helper($temp, $mode);
+            }
+            return $result;
+        }
+
+        return $this->mkdir_helper($dir, $mode);
+    }
+
+    /**
+     * Helper function for directory creation
+     *
+     * @param string $dir
+     * @param int $mode
+     * @return bool
+     * @access private
+     */
+    private function mkdir_helper($dir, $mode)
+    {
+        // send SSH_FXP_MKDIR without any attributes (that's what the \0\0\0\0 is doing)
+        if (!$this->send_sftp_packet(NET_SFTP_MKDIR, Strings::packSSH2('s', $dir) . "\0\0\0\0")) {
+            return false;
+        }
+
+        $response = $this->get_sftp_packet();
+        if ($this->packet_type != NET_SFTP_STATUS) {
+            throw new \UnexpectedValueException('Expected NET_SFTP_STATUS. '
+                                              . 'Got packet type: ' . $this->packet_type);
+        }
+
+        list($status) = Strings::unpackSSH2('N', $response);
+        if ($status != NET_SFTP_STATUS_OK) {
+            $this->logError($response, $status);
+            return false;
+        }
+
+        if ($mode !== -1) {
+            $this->chmod($mode, $dir);
+        }
+
+        return true;
+    }
+
+    /**
+     * Removes a directory.
+     *
+     * @param string $dir
+     * @throws \UnexpectedValueException on receipt of unexpected packets
+     * @return bool
+     * @access public
+     */
+    public function rmdir($dir)
+    {
+        if (!($this->bitmap & SSH2::MASK_LOGIN)) {
+            return false;
+        }
+
+        $dir = $this->realpath($dir);
+        if ($dir === false) {
+            return false;
+        }
+
+        if (!$this->send_sftp_packet(NET_SFTP_RMDIR, Strings::packSSH2('s', $dir))) {
+            return false;
+        }
+
+        $response = $this->get_sftp_packet();
+        if ($this->packet_type != NET_SFTP_STATUS) {
+            throw new \UnexpectedValueException('Expected NET_SFTP_STATUS. '
+                                              . 'Got packet type: ' . $this->packet_type);
+        }
+
+        list($status) = Strings::unpackSSH2('N', $response);
+        if ($status != NET_SFTP_STATUS_OK) {
+            // presumably SSH_FX_NO_SUCH_FILE or SSH_FX_PERMISSION_DENIED?
+            $this->logError($response, $status);
+            return false;
+        }
+
+        $this->remove_from_stat_cache($dir);
+        // the following will do a soft delete, which would be useful if you deleted a file
+        // and then tried to do a stat on the deleted file. the above, in contrast, does
+        // a hard delete
+        //$this->update_stat_cache($dir, false);
+
+        return true;
+    }
+
+    /**
+     * Uploads a file to the SFTP server.
+     *
+     * By default, \phpseclib3\Net\SFTP::put() does not read from the local filesystem.  $data is dumped directly into $remote_file.
+     * So, for example, if you set $data to 'filename.ext' and then do \phpseclib3\Net\SFTP::get(), you will get a file, twelve bytes
+     * long, containing 'filename.ext' as its contents.
+     *
+     * Setting $mode to self::SOURCE_LOCAL_FILE will change the above behavior.  With self::SOURCE_LOCAL_FILE, $remote_file will
+     * contain as many bytes as filename.ext does on your local filesystem.  If your filename.ext is 1MB then that is how
+     * large $remote_file will be, as well.
+     *
+     * Setting $mode to self::SOURCE_CALLBACK will use $data as callback function, which gets only one parameter -- number of bytes to return, and returns a string if there is some data or null if there is no more data
+     *
+     * If $data is a resource then it'll be used as a resource instead.
+     *
+     * Currently, only binary mode is supported.  As such, if the line endings need to be adjusted, you will need to take
+     * care of that, yourself.
+     *
+     * $mode can take an additional two parameters - self::RESUME and self::RESUME_START. These are bitwise AND'd with
+     * $mode. So if you want to resume upload of a 300mb file on the local file system you'd set $mode to the following:
+     *
+     * self::SOURCE_LOCAL_FILE | self::RESUME
+     *
+     * If you wanted to simply append the full contents of a local file to the full contents of a remote file you'd replace
+     * self::RESUME with self::RESUME_START.
+     *
+     * If $mode & (self::RESUME | self::RESUME_START) then self::RESUME_START will be assumed.
+     *
+     * $start and $local_start give you more fine grained control over this process and take precident over self::RESUME
+     * when they're non-negative. ie. $start could let you write at the end of a file (like self::RESUME) or in the middle
+     * of one. $local_start could let you start your reading from the end of a file (like self::RESUME_START) or in the
+     * middle of one.
+     *
+     * Setting $local_start to > 0 or $mode | self::RESUME_START doesn't do anything unless $mode | self::SOURCE_LOCAL_FILE.
+     *
+     * {@internal ASCII mode for SFTPv4/5/6 can be supported by adding a new function - \phpseclib3\Net\SFTP::setMode().}
+     *
+     * @param string $remote_file
+     * @param string|resource $data
+     * @param int $mode
+     * @param int $start
+     * @param int $local_start
+     * @param callable|null $progressCallback
+     * @throws \UnexpectedValueException on receipt of unexpected packets
+     * @throws \BadFunctionCallException if you're uploading via a callback and the callback function is invalid
+     * @throws \phpseclib3\Exception\FileNotFoundException if you're uploading via a file and the file doesn't exist
+     * @return bool
+     * @access public
+     */
+    public function put($remote_file, $data, $mode = self::SOURCE_STRING, $start = -1, $local_start = -1, $progressCallback = null)
+    {
+        if (!($this->bitmap & SSH2::MASK_LOGIN)) {
+            return false;
+        }
+
+        $remote_file = $this->realpath($remote_file);
+        if ($remote_file === false) {
+            return false;
+        }
+
+        $flags = NET_SFTP_OPEN_WRITE | NET_SFTP_OPEN_CREATE;
+        // according to the SFTP specs, NET_SFTP_OPEN_APPEND should "force all writes to append data at the end of the file."
+        // in practice, it doesn't seem to do that.
+        //$flags|= ($mode & self::RESUME) ? NET_SFTP_OPEN_APPEND : NET_SFTP_OPEN_TRUNCATE;
+
+        if ($start >= 0) {
+            $offset = $start;
+        } elseif ($mode & self::RESUME) {
+            // if NET_SFTP_OPEN_APPEND worked as it should _size() wouldn't need to be called
+            $size = $this->stat($remote_file)['size'];
+            $offset = $size !== false ? $size : 0;
+        } else {
+            $offset = 0;
+            $flags|= NET_SFTP_OPEN_TRUNCATE;
+        }
+
+        $this->remove_from_stat_cache($remote_file);
+
+        $packet = Strings::packSSH2('sNN', $remote_file, $flags, 0);
+        if (!$this->send_sftp_packet(NET_SFTP_OPEN, $packet)) {
+            return false;
+        }
+
+        $response = $this->get_sftp_packet();
+        switch ($this->packet_type) {
+            case NET_SFTP_HANDLE:
+                $handle = substr($response, 4);
+                break;
+            case NET_SFTP_STATUS:
+                $this->logError($response);
+                return false;
+            default:
+                throw new \UnexpectedValueException('Expected NET_SFTP_HANDLE or NET_SFTP_STATUS. '
+                                                  . 'Got packet type: ' . $this->packet_type);
+        }
+
+        // http://tools.ietf.org/html/draft-ietf-secsh-filexfer-13#section-8.2.3
+        $dataCallback = false;
+        switch (true) {
+            case $mode & self::SOURCE_CALLBACK:
+                if (!is_callable($data)) {
+                    throw new \BadFunctionCallException("\$data should be is_callable() if you specify SOURCE_CALLBACK flag");
+                }
+                $dataCallback = $data;
+                // do nothing
+                break;
+            case is_resource($data):
+                $mode = $mode & ~self::SOURCE_LOCAL_FILE;
+                $info = stream_get_meta_data($data);
+                if ($info['wrapper_type'] == 'PHP' && $info['stream_type'] == 'Input') {
+                    $fp = fopen('php://memory', 'w+');
+                    stream_copy_to_stream($data, $fp);
+                    rewind($fp);
+                } else {
+                    $fp = $data;
+                }
+                break;
+            case $mode & self::SOURCE_LOCAL_FILE:
+                if (!is_file($data)) {
+                    throw new FileNotFoundException("$data is not a valid file");
+                }
+                $fp = @fopen($data, 'rb');
+                if (!$fp) {
+                    return false;
+                }
+        }
+
+        if (isset($fp)) {
+            $stat = fstat($fp);
+            $size = !empty($stat) ? $stat['size'] : 0;
+
+            if ($local_start >= 0) {
+                fseek($fp, $local_start);
+                $size-= $local_start;
+            }
+        } elseif ($dataCallback) {
+            $size = 0;
+        } else {
+            $size = strlen($data);
+        }
+
+        $sent = 0;
+        $size = $size < 0 ? ($size & 0x7FFFFFFF) + 0x80000000 : $size;
+
+        $sftp_packet_size = $this->max_sftp_packet;
+        // make the SFTP packet be exactly the SFTP packet size by including the bytes in the NET_SFTP_WRITE packets "header"
+        $sftp_packet_size-= strlen($handle) + 25;
+        $i = $j = 0;
+        while ($dataCallback || ($size === 0 || $sent < $size)) {
+            if ($dataCallback) {
+                $temp = $dataCallback($sftp_packet_size);
+                if (is_null($temp)) {
+                    break;
+                }
+            } else {
+                $temp = isset($fp) ? fread($fp, $sftp_packet_size) : substr($data, $sent, $sftp_packet_size);
+                if ($temp === false || $temp === '') {
+                    break;
+                }
+            }
+
+            $subtemp = $offset + $sent;
+            $packet = pack('Na*N3a*', strlen($handle), $handle, $subtemp / 4294967296, $subtemp, strlen($temp), $temp);
+            if (!$this->send_sftp_packet(NET_SFTP_WRITE, $packet, $j)) {
+                if ($mode & self::SOURCE_LOCAL_FILE) {
+                    fclose($fp);
+                }
+                return false;
+            }
+            $sent+= strlen($temp);
+            if (is_callable($progressCallback)) {
+                $progressCallback($sent);
+            }
+
+            $i++;
+            $j++;
+            if ($i == NET_SFTP_UPLOAD_QUEUE_SIZE) {
+                if (!$this->read_put_responses($i)) {
+                    $i = 0;
+                    break;
+                }
+                $i = 0;
+            }
+        }
+
+        if (!$this->read_put_responses($i)) {
+            if ($mode & self::SOURCE_LOCAL_FILE) {
+                fclose($fp);
+            }
+            $this->close_handle($handle);
+            return false;
+        }
+
+        if ($mode & self::SOURCE_LOCAL_FILE) {
+            if ($this->preserveTime) {
+                $stat = fstat($fp);
+                $this->touch($remote_file, $stat['mtime'], $stat['atime']);
+            }
+
+            if (isset($fp) && is_resource($fp)) {
+                fclose($fp);
+            }
+        }
+
+        return $this->close_handle($handle);
+    }
+
+    /**
+     * Reads multiple successive SSH_FXP_WRITE responses
+     *
+     * Sending an SSH_FXP_WRITE packet and immediately reading its response isn't as efficient as blindly sending out $i
+     * SSH_FXP_WRITEs, in succession, and then reading $i responses.
+     *
+     * @param int $i
+     * @return bool
+     * @throws \UnexpectedValueException on receipt of unexpected packets
+     * @access private
+     */
+    private function read_put_responses($i)
+    {
+        while ($i--) {
+            $response = $this->get_sftp_packet();
+            if ($this->packet_type != NET_SFTP_STATUS) {
+                throw new \UnexpectedValueException('Expected NET_SFTP_STATUS. '
+                                                  . 'Got packet type: ' . $this->packet_type);
+            }
+
+            list($status) = Strings::unpackSSH2('N', $response);
+            if ($status != NET_SFTP_STATUS_OK) {
+                $this->logError($response, $status);
+                break;
+            }
+        }
+
+        return $i < 0;
+    }
+
+    /**
+     * Close handle
+     *
+     * @param string $handle
+     * @return bool
+     * @throws \UnexpectedValueException on receipt of unexpected packets
+     * @access private
+     */
+    private function close_handle($handle)
+    {
+        if (!$this->send_sftp_packet(NET_SFTP_CLOSE, pack('Na*', strlen($handle), $handle))) {
+            return false;
+        }
+
+        // "The client MUST release all resources associated with the handle regardless of the status."
+        //  -- http://tools.ietf.org/html/draft-ietf-secsh-filexfer-13#section-8.1.3
+        $response = $this->get_sftp_packet();
+        if ($this->packet_type != NET_SFTP_STATUS) {
+            throw new \UnexpectedValueException('Expected NET_SFTP_STATUS. '
+                                              . 'Got packet type: ' . $this->packet_type);
+        }
+
+        list($status) = Strings::unpackSSH2('N', $response);
+        if ($status != NET_SFTP_STATUS_OK) {
+            $this->logError($response, $status);
+            return false;
+        }
+
+        return true;
+    }
+
+    /**
+     * Downloads a file from the SFTP server.
+     *
+     * Returns a string containing the contents of $remote_file if $local_file is left undefined or a boolean false if
+     * the operation was unsuccessful.  If $local_file is defined, returns true or false depending on the success of the
+     * operation.
+     *
+     * $offset and $length can be used to download files in chunks.
+     *
+     * @param string $remote_file
+     * @param string|bool|resource $local_file
+     * @param int $offset
+     * @param int $length
+     * @param callable|null $progressCallback
+     * @throws \UnexpectedValueException on receipt of unexpected packets
+     * @return mixed
+     * @access public
+     */
+    public function get($remote_file, $local_file = false, $offset = 0, $length = -1, $progressCallback = null)
+    {
+        if (!($this->bitmap & SSH2::MASK_LOGIN)) {
+            return false;
+        }
+
+        $remote_file = $this->realpath($remote_file);
+        if ($remote_file === false) {
+            return false;
+        }
+
+        $packet = pack('Na*N2', strlen($remote_file), $remote_file, NET_SFTP_OPEN_READ, 0);
+        if (!$this->send_sftp_packet(NET_SFTP_OPEN, $packet)) {
+            return false;
+        }
+
+        $response = $this->get_sftp_packet();
+        switch ($this->packet_type) {
+            case NET_SFTP_HANDLE:
+                $handle = substr($response, 4);
+                break;
+            case NET_SFTP_STATUS: // presumably SSH_FX_NO_SUCH_FILE or SSH_FX_PERMISSION_DENIED
+                $this->logError($response);
+                return false;
+            default:
+                throw new \UnexpectedValueException('Expected NET_SFTP_HANDLE or NET_SFTP_STATUS. '
+                                                  . 'Got packet type: ' . $this->packet_type);
+        }
+
+        if (is_resource($local_file)) {
+            $fp = $local_file;
+            $stat = fstat($fp);
+            $res_offset = $stat['size'];
+        } else {
+            $res_offset = 0;
+            if ($local_file !== false && !is_callable($local_file)) {
+                $fp = fopen($local_file, 'wb');
+                if (!$fp) {
+                    return false;
+                }
+            } else {
+                $content = '';
+            }
+        }
+
+        $fclose_check = $local_file !== false && !is_callable($local_file) && !is_resource($local_file);
+
+        $start = $offset;
+        $read = 0;
+        while (true) {
+            $i = 0;
+
+            while ($i < NET_SFTP_QUEUE_SIZE && ($length < 0 || $read < $length)) {
+                $tempoffset = $start + $read;
+
+                $packet_size = $length > 0 ? min($this->max_sftp_packet, $length - $read) : $this->max_sftp_packet;
+
+                $packet = Strings::packSSH2('sN3', $handle, $tempoffset / 4294967296, $tempoffset, $packet_size);
+                if (!$this->send_sftp_packet(NET_SFTP_READ, $packet, $i)) {
+                    if ($fclose_check) {
+                        fclose($fp);
+                    }
+                    return false;
+                }
+                $packet = null;
+                $read+= $packet_size;
+                $i++;
+            }
+
+            if (!$i) {
+                break;
+            }
+
+            $packets_sent = $i - 1;
+
+            $clear_responses = false;
+            while ($i > 0) {
+                $i--;
+
+                if ($clear_responses) {
+                    $this->get_sftp_packet($packets_sent - $i);
+                    continue;
+                } else {
+                    $response = $this->get_sftp_packet($packets_sent - $i);
+                }
+
+                switch ($this->packet_type) {
+                    case NET_SFTP_DATA:
+                        $temp = substr($response, 4);
+                        $offset+= strlen($temp);
+                        if ($local_file === false) {
+                            $content.= $temp;
+                        } elseif (is_callable($local_file)) {
+                            $local_file($temp);
+                        } else {
+                            fputs($fp, $temp);
+                        }
+                        if (is_callable($progressCallback)) {
+                            call_user_func($progressCallback, $offset);
+                        }
+                        $temp = null;
+                        break;
+                    case NET_SFTP_STATUS:
+                        // could, in theory, return false if !strlen($content) but we'll hold off for the time being
+                        $this->logError($response);
+                        $clear_responses = true; // don't break out of the loop yet, so we can read the remaining responses
+                        break;
+                    default:
+                        if ($fclose_check) {
+                            fclose($fp);
+                        }
+                        throw new \UnexpectedValueException('Expected NET_SFTP_DATA or NET_SFTP_STATUS. '
+                                                          . 'Got packet type: ' . $this->packet_type);
+                }
+                $response = null;
+            }
+
+            if ($clear_responses) {
+                break;
+            }
+        }
+
+        if ($length > 0 && $length <= $offset - $start) {
+            if ($local_file === false) {
+                $content = substr($content, 0, $length);
+            } else {
+                ftruncate($fp, $length + $res_offset);
+            }
+        }
+
+        if ($fclose_check) {
+            fclose($fp);
+
+            if ($this->preserveTime) {
+                $stat = $this->stat($remote_file);
+                touch($local_file, $stat['mtime'], $stat['atime']);
+            }
+        }
+
+        if (!$this->close_handle($handle)) {
+            return false;
+        }
+
+        // if $content isn't set that means a file was written to
+        return isset($content) ? $content : true;
+    }
+
+    /**
+     * Deletes a file on the SFTP server.
+     *
+     * @param string $path
+     * @param bool $recursive
+     * @return bool
+     * @throws \UnexpectedValueException on receipt of unexpected packets
+     * @access public
+     */
+    public function delete($path, $recursive = true)
+    {
+        if (!($this->bitmap & SSH2::MASK_LOGIN)) {
+            return false;
+        }
+
+        if (is_object($path)) {
+            // It's an object. Cast it as string before we check anything else.
+            $path = (string) $path;
+        }
+
+        if (!is_string($path) || $path == '') {
+            return false;
+        }
+
+        $path = $this->realpath($path);
+        if ($path === false) {
+            return false;
+        }
+
+        // http://tools.ietf.org/html/draft-ietf-secsh-filexfer-13#section-8.3
+        if (!$this->send_sftp_packet(NET_SFTP_REMOVE, pack('Na*', strlen($path), $path))) {
+            return false;
+        }
+
+        $response = $this->get_sftp_packet();
+        if ($this->packet_type != NET_SFTP_STATUS) {
+            throw new \UnexpectedValueException('Expected NET_SFTP_STATUS. '
+                                              . 'Got packet type: ' . $this->packet_type);
+        }
+
+        // if $status isn't SSH_FX_OK it's probably SSH_FX_NO_SUCH_FILE or SSH_FX_PERMISSION_DENIED
+        list($status) = Strings::unpackSSH2('N', $response);
+        if ($status != NET_SFTP_STATUS_OK) {
+            $this->logError($response, $status);
+            if (!$recursive) {
+                return false;
+            }
+
+            $i = 0;
+            $result = $this->delete_recursive($path, $i);
+            $this->read_put_responses($i);
+            return $result;
+        }
+
+        $this->remove_from_stat_cache($path);
+
+        return true;
+    }
+
+    /**
+     * Recursively deletes directories on the SFTP server
+     *
+     * Minimizes directory lookups and SSH_FXP_STATUS requests for speed.
+     *
+     * @param string $path
+     * @param int $i
+     * @return bool
+     * @access private
+     */
+    private function delete_recursive($path, &$i)
+    {
+        if (!$this->read_put_responses($i)) {
+            return false;
+        }
+        $i = 0;
+        $entries = $this->readlist($path, true);
+
+        // normally $entries would have at least . and .. but it might not if the directories
+        // permissions didn't allow reading
+        if (empty($entries)) {
+            return false;
+        }
+
+        unset($entries['.'], $entries['..']);
+        foreach ($entries as $filename => $props) {
+            if (!isset($props['type'])) {
+                return false;
+            }
+
+            $temp = $path . '/' . $filename;
+            if ($props['type'] == NET_SFTP_TYPE_DIRECTORY) {
+                if (!$this->delete_recursive($temp, $i)) {
+                    return false;
+                }
+            } else {
+                if (!$this->send_sftp_packet(NET_SFTP_REMOVE, Strings::packSSH2('s', $temp))) {
+                    return false;
+                }
+                $this->remove_from_stat_cache($temp);
+
+                $i++;
+
+                if ($i >= NET_SFTP_QUEUE_SIZE) {
+                    if (!$this->read_put_responses($i)) {
+                        return false;
+                    }
+                    $i = 0;
+                }
+            }
+        }
+
+        if (!$this->send_sftp_packet(NET_SFTP_RMDIR, Strings::packSSH2('s', $path))) {
+            return false;
+        }
+        $this->remove_from_stat_cache($path);
+
+        $i++;
+
+        if ($i >= NET_SFTP_QUEUE_SIZE) {
+            if (!$this->read_put_responses($i)) {
+                return false;
+            }
+            $i = 0;
+        }
+
+        return true;
+    }
+
+    /**
+     * Checks whether a file or directory exists
+     *
+     * @param string $path
+     * @return bool
+     * @access public
+     */
+    public function file_exists($path)
+    {
+        if ($this->use_stat_cache) {
+            $path = $this->realpath($path);
+
+            $result = $this->query_stat_cache($path);
+
+            if (isset($result)) {
+                // return true if $result is an array or if it's an stdClass object
+                return $result !== false;
+            }
+        }
+
+        return $this->stat($path) !== false;
+    }
+
+    /**
+     * Tells whether the filename is a directory
+     *
+     * @param string $path
+     * @return bool
+     * @access public
+     */
+    public function is_dir($path)
+    {
+        $result = $this->get_stat_cache_prop($path, 'type');
+        if ($result === false) {
+            return false;
+        }
+        return $result === NET_SFTP_TYPE_DIRECTORY;
+    }
+
+    /**
+     * Tells whether the filename is a regular file
+     *
+     * @param string $path
+     * @return bool
+     * @access public
+     */
+    public function is_file($path)
+    {
+        $result = $this->get_stat_cache_prop($path, 'type');
+        if ($result === false) {
+            return false;
+        }
+        return $result === NET_SFTP_TYPE_REGULAR;
+    }
+
+    /**
+     * Tells whether the filename is a symbolic link
+     *
+     * @param string $path
+     * @return bool
+     * @access public
+     */
+    public function is_link($path)
+    {
+        $result = $this->get_lstat_cache_prop($path, 'type');
+        if ($result === false) {
+            return false;
+        }
+        return $result === NET_SFTP_TYPE_SYMLINK;
+    }
+
+    /**
+     * Tells whether a file exists and is readable
+     *
+     * @param string $path
+     * @return bool
+     * @access public
+     */
+    public function is_readable($path)
+    {
+        $packet = Strings::packSSH2('sNN', $this->realpath($path), NET_SFTP_OPEN_READ, 0);
+        if (!$this->send_sftp_packet(NET_SFTP_OPEN, $packet)) {
+            return false;
+        }
+
+        $response = $this->get_sftp_packet();
+        switch ($this->packet_type) {
+            case NET_SFTP_HANDLE:
+                return true;
+            case NET_SFTP_STATUS: // presumably SSH_FX_NO_SUCH_FILE or SSH_FX_PERMISSION_DENIED
+                return false;
+            default:
+                throw new \UnexpectedValueException('Expected NET_SFTP_HANDLE or NET_SFTP_STATUS. '
+                                                  . 'Got packet type: ' . $this->packet_type);
+        }
+    }
+
+    /**
+     * Tells whether the filename is writable
+     *
+     * @param string $path
+     * @return bool
+     * @access public
+     */
+    public function is_writable($path)
+    {
+        $packet = Strings::packSSH2('sNN', $this->realpath($path), NET_SFTP_OPEN_WRITE, 0);
+        if (!$this->send_sftp_packet(NET_SFTP_OPEN, $packet)) {
+            return false;
+        }
+
+        $response = $this->get_sftp_packet();
+        switch ($this->packet_type) {
+            case NET_SFTP_HANDLE:
+                return true;
+            case NET_SFTP_STATUS: // presumably SSH_FX_NO_SUCH_FILE or SSH_FX_PERMISSION_DENIED
+                return false;
+            default:
+                throw new \UnexpectedValueException('Expected SSH_FXP_HANDLE or SSH_FXP_STATUS. '
+                                                  . 'Got packet type: ' . $this->packet_type);
+        }
+    }
+
+    /**
+     * Tells whether the filename is writeable
+     *
+     * Alias of is_writable
+     *
+     * @param string $path
+     * @return bool
+     * @access public
+     */
+    public function is_writeable($path)
+    {
+        return $this->is_writable($path);
+    }
+
+    /**
+     * Gets last access time of file
+     *
+     * @param string $path
+     * @return mixed
+     * @access public
+     */
+    public function fileatime($path)
+    {
+        return $this->get_stat_cache_prop($path, 'atime');
+    }
+
+    /**
+     * Gets file modification time
+     *
+     * @param string $path
+     * @return mixed
+     * @access public
+     */
+    public function filemtime($path)
+    {
+        return $this->get_stat_cache_prop($path, 'mtime');
+    }
+
+    /**
+     * Gets file permissions
+     *
+     * @param string $path
+     * @return mixed
+     * @access public
+     */
+    public function fileperms($path)
+    {
+        return $this->get_stat_cache_prop($path, 'mode');
+    }
+
+    /**
+     * Gets file owner
+     *
+     * @param string $path
+     * @return mixed
+     * @access public
+     */
+    public function fileowner($path)
+    {
+        return $this->get_stat_cache_prop($path, 'uid');
+    }
+
+    /**
+     * Gets file group
+     *
+     * @param string $path
+     * @return mixed
+     * @access public
+     */
+    public function filegroup($path)
+    {
+        return $this->get_stat_cache_prop($path, 'gid');
+    }
+
+    /**
+     * Gets file size
+     *
+     * @param string $path
+     * @return mixed
+     * @access public
+     */
+    public function filesize($path)
+    {
+        return $this->get_stat_cache_prop($path, 'size');
+    }
+
+    /**
+     * Gets file type
+     *
+     * @param string $path
+     * @return mixed
+     * @access public
+     */
+    public function filetype($path)
+    {
+        $type = $this->get_stat_cache_prop($path, 'type');
+        if ($type === false) {
+            return false;
+        }
+
+        switch ($type) {
+            case NET_SFTP_TYPE_BLOCK_DEVICE:
+                return 'block';
+            case NET_SFTP_TYPE_CHAR_DEVICE:
+                return 'char';
+            case NET_SFTP_TYPE_DIRECTORY:
+                return 'dir';
+            case NET_SFTP_TYPE_FIFO:
+                return 'fifo';
+            case NET_SFTP_TYPE_REGULAR:
+                return 'file';
+            case NET_SFTP_TYPE_SYMLINK:
+                return 'link';
+            default:
+                return false;
+        }
+    }
+
+    /**
+     * Return a stat properity
+     *
+     * Uses cache if appropriate.
+     *
+     * @param string $path
+     * @param string $prop
+     * @return mixed
+     * @access private
+     */
+    private function get_stat_cache_prop($path, $prop)
+    {
+        return $this->get_xstat_cache_prop($path, $prop, 'stat');
+    }
+
+    /**
+     * Return an lstat properity
+     *
+     * Uses cache if appropriate.
+     *
+     * @param string $path
+     * @param string $prop
+     * @return mixed
+     * @access private
+     */
+    private function get_lstat_cache_prop($path, $prop)
+    {
+        return $this->get_xstat_cache_prop($path, $prop, 'lstat');
+    }
+
+    /**
+     * Return a stat or lstat properity
+     *
+     * Uses cache if appropriate.
+     *
+     * @param string $path
+     * @param string $prop
+     * @param string $type
+     * @return mixed
+     * @access private
+     */
+    private function get_xstat_cache_prop($path, $prop, $type)
+    {
+        if ($this->use_stat_cache) {
+            $path = $this->realpath($path);
+
+            $result = $this->query_stat_cache($path);
+
+            if (is_object($result) && isset($result->$type)) {
+                return $result->{$type}[$prop];
+            }
+        }
+
+        $result = $this->$type($path);
+
+        if ($result === false || !isset($result[$prop])) {
+            return false;
+        }
+
+        return $result[$prop];
+    }
+
+    /**
+     * Renames a file or a directory on the SFTP server
+     *
+     * @param string $oldname
+     * @param string $newname
+     * @return bool
+     * @throws \UnexpectedValueException on receipt of unexpected packets
+     * @access public
+     */
+    public function rename($oldname, $newname)
+    {
+        if (!($this->bitmap & SSH2::MASK_LOGIN)) {
+            return false;
+        }
+
+        $oldname = $this->realpath($oldname);
+        $newname = $this->realpath($newname);
+        if ($oldname === false || $newname === false) {
+            return false;
+        }
+
+        // http://tools.ietf.org/html/draft-ietf-secsh-filexfer-13#section-8.3
+        $packet = Strings::packSSH2('ss', $oldname, $newname);
+        if (!$this->send_sftp_packet(NET_SFTP_RENAME, $packet)) {
+            return false;
+        }
+
+        $response = $this->get_sftp_packet();
+        if ($this->packet_type != NET_SFTP_STATUS) {
+            throw new \UnexpectedValueException('Expected NET_SFTP_STATUS. '
+                                              . 'Got packet type: ' . $this->packet_type);
+        }
+
+        // if $status isn't SSH_FX_OK it's probably SSH_FX_NO_SUCH_FILE or SSH_FX_PERMISSION_DENIED
+        list($status) = Strings::unpackSSH2('N', $response);
+        if ($status != NET_SFTP_STATUS_OK) {
+            $this->logError($response, $status);
+            return false;
+        }
+
+        // don't move the stat cache entry over since this operation could very well change the
+        // atime and mtime attributes
+        //$this->update_stat_cache($newname, $this->query_stat_cache($oldname));
+        $this->remove_from_stat_cache($oldname);
+        $this->remove_from_stat_cache($newname);
+
+        return true;
+    }
+
+    /**
+     * Parse Attributes
+     *
+     * See '7.  File Attributes' of draft-ietf-secsh-filexfer-13 for more info.
+     *
+     * @param string $response
+     * @return array
+     * @access private
+     */
+    protected function parseAttributes(&$response)
+    {
+        $attr = [];
+        list($flags) = Strings::unpackSSH2('N', $response);
+
+        // SFTPv4+ have a type field (a byte) that follows the above flag field
+        foreach ($this->attributes as $key => $value) {
+            switch ($flags & $key) {
+                case NET_SFTP_ATTR_SIZE: // 0x00000001
+                    // The size attribute is defined as an unsigned 64-bit integer.
+                    // The following will use floats on 32-bit platforms, if necessary.
+                    // As can be seen in the BigInteger class, floats are generally
+                    // IEEE 754 binary64 "double precision" on such platforms and
+                    // as such can represent integers of at least 2^50 without loss
+                    // of precision. Interpreted in filesize, 2^50 bytes = 1024 TiB.
+                    list($upper, $size) = Strings::unpackSSH2('NN', $response);
+                    $attr['size'] = $upper ? 4294967296 * $upper : 0;
+                    $attr['size']+= $size < 0 ? ($size & 0x7FFFFFFF) + 0x80000000 : $size;
+                    break;
+                case NET_SFTP_ATTR_UIDGID: // 0x00000002 (SFTPv3 only)
+                    list($attr['uid'], $attr['gid']) = Strings::unpackSSH2('NN', $response);
+                    break;
+                case NET_SFTP_ATTR_PERMISSIONS: // 0x00000004
+                    list($attr['mode']) = Strings::unpackSSH2('N', $response);
+                    $fileType = $this->parseMode($attr['mode']);
+                    if ($fileType !== false) {
+                        $attr+= ['type' => $fileType];
+                    }
+                    break;
+                case NET_SFTP_ATTR_ACCESSTIME: // 0x00000008
+                    list($attr['atime'], $attr['mtime']) = Strings::unpackSSH2('NN', $response);
+                    break;
+                case NET_SFTP_ATTR_EXTENDED: // 0x80000000
+                    list($count) = Strings::unpackSSH2('N', $response);
+                    for ($i = 0; $i < $count; $i++) {
+                        list($key, $value) = Strings::unpackSSH2('ss', $response);
+                        $attr[$key] = $value;
+                    }
+            }
+        }
+        return $attr;
+    }
+
+    /**
+     * Attempt to identify the file type
+     *
+     * Quoting the SFTP RFC, "Implementations MUST NOT send bits that are not defined" but they seem to anyway
+     *
+     * @param int $mode
+     * @return int
+     * @access private
+     */
+    private function parseMode($mode)
+    {
+        // values come from http://lxr.free-electrons.com/source/include/uapi/linux/stat.h#L12
+        // see, also, http://linux.die.net/man/2/stat
+        switch ($mode & 0170000) {// ie. 1111 0000 0000 0000
+            case 0000000: // no file type specified - figure out the file type using alternative means
+                return false;
+            case 0040000:
+                return NET_SFTP_TYPE_DIRECTORY;
+            case 0100000:
+                return NET_SFTP_TYPE_REGULAR;
+            case 0120000:
+                return NET_SFTP_TYPE_SYMLINK;
+            // new types introduced in SFTPv5+
+            // http://tools.ietf.org/html/draft-ietf-secsh-filexfer-05#section-5.2
+            case 0010000: // named pipe (fifo)
+                return NET_SFTP_TYPE_FIFO;
+            case 0020000: // character special
+                return NET_SFTP_TYPE_CHAR_DEVICE;
+            case 0060000: // block special
+                return NET_SFTP_TYPE_BLOCK_DEVICE;
+            case 0140000: // socket
+                return NET_SFTP_TYPE_SOCKET;
+            case 0160000: // whiteout
+                // "SPECIAL should be used for files that are of
+                //  a known type which cannot be expressed in the protocol"
+                return NET_SFTP_TYPE_SPECIAL;
+            default:
+                return NET_SFTP_TYPE_UNKNOWN;
+        }
+    }
+
+    /**
+     * Parse Longname
+     *
+     * SFTPv3 doesn't provide any easy way of identifying a file type.  You could try to open
+     * a file as a directory and see if an error is returned or you could try to parse the
+     * SFTPv3-specific longname field of the SSH_FXP_NAME packet.  That's what this function does.
+     * The result is returned using the
+     * {@link http://tools.ietf.org/html/draft-ietf-secsh-filexfer-04#section-5.2 SFTPv4 type constants}.
+     *
+     * If the longname is in an unrecognized format bool(false) is returned.
+     *
+     * @param string $longname
+     * @return mixed
+     * @access private
+     */
+    private function parseLongname($longname)
+    {
+        // http://en.wikipedia.org/wiki/Unix_file_types
+        // http://en.wikipedia.org/wiki/Filesystem_permissions#Notation_of_traditional_Unix_permissions
+        if (preg_match('#^[^/]([r-][w-][xstST-]){3}#', $longname)) {
+            switch ($longname[0]) {
+                case '-':
+                    return NET_SFTP_TYPE_REGULAR;
+                case 'd':
+                    return NET_SFTP_TYPE_DIRECTORY;
+                case 'l':
+                    return NET_SFTP_TYPE_SYMLINK;
+                default:
+                    return NET_SFTP_TYPE_SPECIAL;
+            }
+        }
+
+        return false;
+    }
+
+    /**
+     * Sends SFTP Packets
+     *
+     * See '6. General Packet Format' of draft-ietf-secsh-filexfer-13 for more info.
+     *
+     * @param int $type
+     * @param string $data
+     * @param int $request_id
+     * @see self::_get_sftp_packet()
+     * @see self::send_channel_packet()
+     * @return bool
+     * @access private
+     */
+    private function send_sftp_packet($type, $data, $request_id = 1)
+    {
+        // in SSH2.php the timeout is cumulative per function call. eg. exec() will
+        // timeout after 10s. but for SFTP.php it's cumulative per packet
+        $this->curTimeout = $this->timeout;
+
+        $packet = $this->use_request_id ?
+            pack('NCNa*', strlen($data) + 5, $type, $request_id, $data) :
+            pack('NCa*',  strlen($data) + 1, $type, $data);
+
+        $start = microtime(true);
+        $result = $this->send_channel_packet(self::CHANNEL, $packet);
+        $stop = microtime(true);
+
+        if (defined('NET_SFTP_LOGGING')) {
+            $packet_type = '-> ' . $this->packet_types[$type] .
+                           ' (' . round($stop - $start, 4) . 's)';
+            if (NET_SFTP_LOGGING == self::LOG_REALTIME) {
+                switch (PHP_SAPI) {
+                    case 'cli':
+                        $start = $stop = "\r\n";
+                        break;
+                    default:
+                        $start = '<pre>';
+                        $stop = '</pre>';
+                }
+                echo $start . $this->format_log([$data], [$packet_type]) . $stop;
+                @flush();
+                @ob_flush();
+            } else {
+                $this->packet_type_log[] = $packet_type;
+                if (NET_SFTP_LOGGING == self::LOG_COMPLEX) {
+                    $this->packet_log[] = $data;
+                }
+            }
+        }
+
+        return $result;
+    }
+
+    /**
+     * Resets a connection for re-use
+     *
+     * @param int $reason
+     * @access private
+     */
+    protected function reset_connection($reason)
+    {
+        parent::reset_connection($reason);
+        $this->use_request_id = false;
+        $this->pwd = false;
+        $this->requestBuffer = [];
+    }
+
+    /**
+     * Receives SFTP Packets
+     *
+     * See '6. General Packet Format' of draft-ietf-secsh-filexfer-13 for more info.
+     *
+     * Incidentally, the number of SSH_MSG_CHANNEL_DATA messages has no bearing on the number of SFTP packets present.
+     * There can be one SSH_MSG_CHANNEL_DATA messages containing two SFTP packets or there can be two SSH_MSG_CHANNEL_DATA
+     * messages containing one SFTP packet.
+     *
+     * @see self::_send_sftp_packet()
+     * @return string
+     * @access private
+     */
+    private function get_sftp_packet($request_id = null)
+    {
+        if (isset($request_id) && isset($this->requestBuffer[$request_id])) {
+            $this->packet_type = $this->requestBuffer[$request_id]['packet_type'];
+            $temp = $this->requestBuffer[$request_id]['packet'];
+            unset($this->requestBuffer[$request_id]);
+            return $temp;
+        }
+
+        // in SSH2.php the timeout is cumulative per function call. eg. exec() will
+        // timeout after 10s. but for SFTP.php it's cumulative per packet
+        $this->curTimeout = $this->timeout;
+
+        $start = microtime(true);
+
+        // SFTP packet length
+        while (strlen($this->packet_buffer) < 4) {
+            $temp = $this->get_channel_packet(self::CHANNEL, true);
+            if (is_bool($temp)) {
+                $this->packet_type = false;
+                $this->packet_buffer = '';
+                return false;
+            }
+            $this->packet_buffer.= $temp;
+        }
+        if (strlen($this->packet_buffer) < 4) {
+            return false;
+        }
+        extract(unpack('Nlength', Strings::shift($this->packet_buffer, 4)));
+        /** @var integer $length */
+
+        $tempLength = $length;
+        $tempLength-= strlen($this->packet_buffer);
+
+
+        // 256 * 1024 is what SFTP_MAX_MSG_LENGTH is set to in OpenSSH's sftp-common.h
+        if ($tempLength > 256 * 1024) {
+            throw new \RuntimeException('Invalid Size');
+        }
+
+        // SFTP packet type and data payload
+        while ($tempLength > 0) {
+            $temp = $this->get_channel_packet(self::CHANNEL, true);
+            if (is_bool($temp)) {
+                $this->packet_type = false;
+                $this->packet_buffer = '';
+                return false;
+            }
+            $this->packet_buffer.= $temp;
+            $tempLength-= strlen($temp);
+        }
+
+        $stop = microtime(true);
+
+        $this->packet_type = ord(Strings::shift($this->packet_buffer));
+
+        if ($this->use_request_id) {
+            extract(unpack('Npacket_id', Strings::shift($this->packet_buffer, 4))); // remove the request id
+            $length-= 5; // account for the request id and the packet type
+        } else {
+            $length-= 1; // account for the packet type
+        }
+
+        $packet = Strings::shift($this->packet_buffer, $length);
+
+        if (defined('NET_SFTP_LOGGING')) {
+            $packet_type = '<- ' . $this->packet_types[$this->packet_type] .
+                           ' (' . round($stop - $start, 4) . 's)';
+            if (NET_SFTP_LOGGING == self::LOG_REALTIME) {
+                switch (PHP_SAPI) {
+                    case 'cli':
+                        $start = $stop = "\r\n";
+                        break;
+                    default:
+                        $start = '<pre>';
+                        $stop = '</pre>';
+                }
+                echo $start . $this->format_log([$packet], [$packet_type]) . $stop;
+                @flush();
+                @ob_flush();
+            } else {
+                $this->packet_type_log[] = $packet_type;
+                if (NET_SFTP_LOGGING == self::LOG_COMPLEX) {
+                    $this->packet_log[] = $packet;
+                }
+            }
+        }
+
+        if (isset($request_id) && $this->use_request_id && $packet_id != $request_id) {
+            $this->requestBuffer[$packet_id] = array(
+                'packet_type' => $this->packet_type,
+                'packet' => $packet
+            );
+            return $this->get_sftp_packet($request_id);
+        }
+
+        return $packet;
+    }
+
+    /**
+     * Returns a log of the packets that have been sent and received.
+     *
+     * Returns a string if NET_SFTP_LOGGING == self::LOG_COMPLEX, an array if NET_SFTP_LOGGING == self::LOG_SIMPLE and false if !defined('NET_SFTP_LOGGING')
+     *
+     * @access public
+     * @return array|string
+     */
+    public function getSFTPLog()
+    {
+        if (!defined('NET_SFTP_LOGGING')) {
+            return false;
+        }
+
+        switch (NET_SFTP_LOGGING) {
+            case self::LOG_COMPLEX:
+                return $this->format_log($this->packet_log, $this->packet_type_log);
+                break;
+            //case self::LOG_SIMPLE:
+            default:
+                return $this->packet_type_log;
+        }
+    }
+
+    /**
+     * Returns all errors
+     *
+     * @return array
+     * @access public
+     */
+    public function getSFTPErrors()
+    {
+        return $this->sftp_errors;
+    }
+
+    /**
+     * Returns the last error
+     *
+     * @return string
+     * @access public
+     */
+    public function getLastSFTPError()
+    {
+        return count($this->sftp_errors) ? $this->sftp_errors[count($this->sftp_errors) - 1] : '';
+    }
+
+    /**
+     * Get supported SFTP versions
+     *
+     * @return array
+     * @access public
+     */
+    public function getSupportedVersions()
+    {
+        $temp = ['version' => $this->version];
+        if (isset($this->extensions['versions'])) {
+            $temp['extensions'] = $this->extensions['versions'];
+        }
+        return $temp;
+    }
+
+    /**
+     * Disconnect
+     *
+     * @param int $reason
+     * @return bool
+     * @access protected
+     */
+    protected function disconnect_helper($reason)
+    {
+        $this->pwd = false;
+        parent::disconnect_helper($reason);
+    }
+
+    /**
+     * Enable Date Preservation
+     *
+     * @access public
+     */
+    function enableDatePreservation()
+    {
+        $this->preserveTime = true;
+    }
+
+    /**
+     * Disable Date Preservation
+     *
+     * @access public
+     */
+    function disableDatePreservation()
+    {
+        $this->preserveTime = false;
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Net/SFTP/Stream.php b/vendor/phpseclib/phpseclib/phpseclib/Net/SFTP/Stream.php
new file mode 100644
index 000000000..89a0e59b2
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Net/SFTP/Stream.php
@@ -0,0 +1,794 @@
+<?php
+
+/**
+ * SFTP Stream Wrapper
+ *
+ * Creates an sftp:// protocol handler that can be used with, for example, fopen(), dir(), etc.
+ *
+ * PHP version 5
+ *
+ * @category  Net
+ * @package   SFTP
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2013 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Net\SFTP;
+
+use phpseclib3\Crypt\Common\PrivateKey;
+use phpseclib3\Net\SFTP;
+use phpseclib3\Net\SSH2;
+
+/**
+ * SFTP Stream Wrapper
+ *
+ * @package SFTP
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class Stream extends SFTP
+{
+    /**
+     * SFTP instances
+     *
+     * Rather than re-create the connection we re-use instances if possible
+     *
+     * @var array
+     */
+    static $instances;
+
+    /**
+     * SFTP instance
+     *
+     * @var object
+     * @access private
+     */
+    private $sftp;
+
+    /**
+     * Path
+     *
+     * @var string
+     * @access private
+     */
+    private $path;
+
+    /**
+     * Mode
+     *
+     * @var string
+     * @access private
+     */
+    private $mode;
+
+    /**
+     * Position
+     *
+     * @var int
+     * @access private
+     */
+    private $pos;
+
+    /**
+     * Size
+     *
+     * @var int
+     * @access private
+     */
+    private $size;
+
+    /**
+     * Directory entries
+     *
+     * @var array
+     * @access private
+     */
+    private $entries;
+
+    /**
+     * EOF flag
+     *
+     * @var bool
+     * @access private
+     */
+    private $eof;
+
+    /**
+     * Context resource
+     *
+     * Technically this needs to be publicly accessible so PHP can set it directly
+     *
+     * @var resource
+     * @access public
+     */
+    public $context;
+
+    /**
+     * Notification callback function
+     *
+     * @var callable
+     * @access public
+     */
+    private $notification;
+
+    /**
+     * Registers this class as a URL wrapper.
+     *
+     * @param string $protocol The wrapper name to be registered.
+     * @return bool True on success, false otherwise.
+     * @access public
+     */
+    public static function register($protocol = 'sftp')
+    {
+        if (in_array($protocol, stream_get_wrappers(), true)) {
+            return false;
+        }
+        return stream_wrapper_register($protocol, get_called_class());
+    }
+
+    /**
+     * The Constructor
+     *
+     * @access public
+     */
+    public function __construct()
+    {
+        if (defined('NET_SFTP_STREAM_LOGGING')) {
+            echo "__construct()\r\n";
+        }
+    }
+
+    /**
+     * Path Parser
+     *
+     * Extract a path from a URI and actually connect to an SSH server if appropriate
+     *
+     * If "notification" is set as a context parameter the message code for successful login is
+     * NET_SSH2_MSG_USERAUTH_SUCCESS. For a failed login it's NET_SSH2_MSG_USERAUTH_FAILURE.
+     *
+     * @param string $path
+     * @return string
+     * @access private
+     */
+    protected function parse_path($path)
+    {
+        $orig = $path;
+        extract(parse_url($path) + ['port' => 22]);
+        if (isset($query)) {
+            $path.= '?' . $query;
+        } elseif (preg_match('/(\?|\?#)$/', $orig)) {
+            $path.= '?';
+        }
+        if (isset($fragment)) {
+            $path.= '#' . $fragment;
+        } elseif ($orig[strlen($orig) - 1] == '#') {
+            $path.= '#';
+        }
+
+        if (!isset($host)) {
+            return false;
+        }
+
+        if (isset($this->context)) {
+            $context = stream_context_get_params($this->context);
+            if (isset($context['notification'])) {
+                $this->notification = $context['notification'];
+            }
+        }
+
+        if (preg_match('/^{[a-z0-9]+}$/i', $host)) {
+            $host = SSH2::getConnectionByResourceId($host);
+            if ($host === false) {
+                return false;
+            }
+            $this->sftp = $host;
+        } else {
+            if (isset($this->context)) {
+                $context = stream_context_get_options($this->context);
+            }
+            if (isset($context[$scheme]['session'])) {
+                $sftp = $context[$scheme]['session'];
+            }
+            if (isset($context[$scheme]['sftp'])) {
+                $sftp = $context[$scheme]['sftp'];
+            }
+            if (isset($sftp) && $sftp instanceof SFTP) {
+                $this->sftp = $sftp;
+                return $path;
+            }
+            if (isset($context[$scheme]['username'])) {
+                $user = $context[$scheme]['username'];
+            }
+            if (isset($context[$scheme]['password'])) {
+                $pass = $context[$scheme]['password'];
+            }
+            if (isset($context[$scheme]['privkey']) && $context[$scheme]['privkey'] instanceof PrivateKey) {
+                $pass = $context[$scheme]['privkey'];
+            }
+
+            if (!isset($user) || !isset($pass)) {
+                return false;
+            }
+
+            // casting $pass to a string is necessary in the event that it's a \phpseclib3\Crypt\RSA object
+            if (isset(self::$instances[$host][$port][$user][(string) $pass])) {
+                $this->sftp = self::$instances[$host][$port][$user][(string) $pass];
+            } else {
+                $this->sftp = new SFTP($host, $port);
+                $this->sftp->disableStatCache();
+                if (isset($this->notification) && is_callable($this->notification)) {
+                    /* if !is_callable($this->notification) we could do this:
+
+                       user_error('fopen(): failed to call user notifier', E_USER_WARNING);
+
+                       the ftp wrapper gives errors like that when the notifier isn't callable.
+                       i've opted not to do that, however, since the ftp wrapper gives the line
+                       on which the fopen occurred as the line number - not the line that the
+                       user_error is on.
+                    */
+                    call_user_func($this->notification, STREAM_NOTIFY_CONNECT, STREAM_NOTIFY_SEVERITY_INFO, '', 0, 0, 0);
+                    call_user_func($this->notification, STREAM_NOTIFY_AUTH_REQUIRED, STREAM_NOTIFY_SEVERITY_INFO, '', 0, 0, 0);
+                    if (!$this->sftp->login($user, $pass)) {
+                        call_user_func($this->notification, STREAM_NOTIFY_AUTH_RESULT, STREAM_NOTIFY_SEVERITY_ERR, 'Login Failure', NET_SSH2_MSG_USERAUTH_FAILURE, 0, 0);
+                        return false;
+                    }
+                    call_user_func($this->notification, STREAM_NOTIFY_AUTH_RESULT, STREAM_NOTIFY_SEVERITY_INFO, 'Login Success', NET_SSH2_MSG_USERAUTH_SUCCESS, 0, 0);
+                } else {
+                    if (!$this->sftp->login($user, $pass)) {
+                        return false;
+                    }
+                }
+                self::$instances[$host][$port][$user][(string) $pass] = $this->sftp;
+            }
+        }
+
+        return $path;
+    }
+
+    /**
+     * Opens file or URL
+     *
+     * @param string $path
+     * @param string $mode
+     * @param int $options
+     * @param string $opened_path
+     * @return bool
+     * @access public
+     */
+    private function _stream_open($path, $mode, $options, &$opened_path)
+    {
+        $path = $this->parse_path($path);
+
+        if ($path === false) {
+            return false;
+        }
+        $this->path = $path;
+
+        $this->size = $this->sftp->filesize($path);
+        $this->mode = preg_replace('#[bt]$#', '', $mode);
+        $this->eof = false;
+
+        if ($this->size === false) {
+            if ($this->mode[0] == 'r') {
+                return false;
+            } else {
+                $this->sftp->touch($path);
+                $this->size = 0;
+            }
+        } else {
+            switch ($this->mode[0]) {
+                case 'x':
+                    return false;
+                case 'w':
+                    $this->sftp->truncate($path, 0);
+                    $this->size = 0;
+            }
+        }
+
+        $this->pos = $this->mode[0] != 'a' ? 0 : $this->size;
+
+        return true;
+    }
+
+    /**
+     * Read from stream
+     *
+     * @param int $count
+     * @return mixed
+     * @access public
+     */
+    private function _stream_read($count)
+    {
+        switch ($this->mode) {
+            case 'w':
+            case 'a':
+            case 'x':
+            case 'c':
+                return false;
+        }
+
+        // commented out because some files - eg. /dev/urandom - will say their size is 0 when in fact it's kinda infinite
+        //if ($this->pos >= $this->size) {
+        //    $this->eof = true;
+        //    return false;
+        //}
+
+        $result = $this->sftp->get($this->path, false, $this->pos, $count);
+        if (isset($this->notification) && is_callable($this->notification)) {
+            if ($result === false) {
+                call_user_func($this->notification, STREAM_NOTIFY_FAILURE, STREAM_NOTIFY_SEVERITY_ERR, $this->sftp->getLastSFTPError(), NET_SFTP_OPEN, 0, 0);
+                return 0;
+            }
+            // seems that PHP calls stream_read in 8k chunks
+            call_user_func($this->notification, STREAM_NOTIFY_PROGRESS, STREAM_NOTIFY_SEVERITY_INFO, '', 0, strlen($result), $this->size);
+        }
+
+        if (empty($result)) { // ie. false or empty string
+            $this->eof = true;
+            return false;
+        }
+        $this->pos+= strlen($result);
+
+        return $result;
+    }
+
+    /**
+     * Write to stream
+     *
+     * @param string $data
+     * @return mixed
+     * @access public
+     */
+    private function _stream_write($data)
+    {
+        switch ($this->mode) {
+            case 'r':
+                return false;
+        }
+
+        $result = $this->sftp->put($this->path, $data, SFTP::SOURCE_STRING, $this->pos);
+        if (isset($this->notification) && is_callable($this->notification)) {
+            if (!$result) {
+                call_user_func($this->notification, STREAM_NOTIFY_FAILURE, STREAM_NOTIFY_SEVERITY_ERR, $this->sftp->getLastSFTPError(), NET_SFTP_OPEN, 0, 0);
+                return 0;
+            }
+            // seems that PHP splits up strings into 8k blocks before calling stream_write
+            call_user_func($this->notification, STREAM_NOTIFY_PROGRESS, STREAM_NOTIFY_SEVERITY_INFO, '', 0, strlen($data), strlen($data));
+        }
+
+        if ($result === false) {
+            return false;
+        }
+        $this->pos+= strlen($data);
+        if ($this->pos > $this->size) {
+            $this->size = $this->pos;
+        }
+        $this->eof = false;
+        return strlen($data);
+    }
+
+    /**
+     * Retrieve the current position of a stream
+     *
+     * @return int
+     * @access public
+     */
+    private function _stream_tell()
+    {
+        return $this->pos;
+    }
+
+    /**
+     * Tests for end-of-file on a file pointer
+     *
+     * In my testing there are four classes functions that normally effect the pointer:
+     * fseek, fputs  / fwrite, fgets / fread and ftruncate.
+     *
+     * Only fgets / fread, however, results in feof() returning true. do fputs($fp, 'aaa') on a blank file and feof()
+     * will return false. do fread($fp, 1) and feof() will then return true. do fseek($fp, 10) on ablank file and feof()
+     * will return false. do fread($fp, 1) and feof() will then return true.
+     *
+     * @return bool
+     * @access public
+     */
+    private function _stream_eof()
+    {
+        return $this->eof;
+    }
+
+    /**
+     * Seeks to specific location in a stream
+     *
+     * @param int $offset
+     * @param int $whence
+     * @return bool
+     * @access public
+     */
+    private function _stream_seek($offset, $whence)
+    {
+        switch ($whence) {
+            case SEEK_SET:
+                if ($offset >= $this->size || $offset < 0) {
+                    return false;
+                }
+                break;
+            case SEEK_CUR:
+                $offset+= $this->pos;
+                break;
+            case SEEK_END:
+                $offset+= $this->size;
+        }
+
+        $this->pos = $offset;
+        $this->eof = false;
+        return true;
+    }
+
+    /**
+     * Change stream options
+     *
+     * @param string $path
+     * @param int $option
+     * @param mixed $var
+     * @return bool
+     * @access public
+     */
+    private function _stream_metadata($path, $option, $var)
+    {
+        $path = $this->parse_path($path);
+        if ($path === false) {
+            return false;
+        }
+
+        // stream_metadata was introduced in PHP 5.4.0 but as of 5.4.11 the constants haven't been defined
+        // see http://www.php.net/streamwrapper.stream-metadata and https://bugs.php.net/64246
+        //     and https://github.com/php/php-src/blob/master/main/php_streams.h#L592
+        switch ($option) {
+            case 1: // PHP_STREAM_META_TOUCH
+                return $this->sftp->touch($path, $var[0], $var[1]);
+            case 2: // PHP_STREAM_OWNER_NAME
+            case 3: // PHP_STREAM_GROUP_NAME
+                return false;
+            case 4: // PHP_STREAM_META_OWNER
+                return $this->sftp->chown($path, $var);
+            case 5: // PHP_STREAM_META_GROUP
+                return $this->sftp->chgrp($path, $var);
+            case 6: // PHP_STREAM_META_ACCESS
+                return $this->sftp->chmod($path, $var) !== false;
+        }
+    }
+
+    /**
+     * Retrieve the underlaying resource
+     *
+     * @param int $cast_as
+     * @return resource
+     * @access public
+     */
+    private function _stream_cast($cast_as)
+    {
+        return $this->sftp->fsock;
+    }
+
+    /**
+     * Advisory file locking
+     *
+     * @param int $operation
+     * @return bool
+     * @access public
+     */
+    private function _stream_lock($operation)
+    {
+        return false;
+    }
+
+    /**
+     * Renames a file or directory
+     *
+     * Attempts to rename oldname to newname, moving it between directories if necessary.
+     * If newname exists, it will be overwritten.  This is a departure from what \phpseclib3\Net\SFTP
+     * does.
+     *
+     * @param string $path_from
+     * @param string $path_to
+     * @return bool
+     * @access public
+     */
+    private function _rename($path_from, $path_to)
+    {
+        $path1 = parse_url($path_from);
+        $path2 = parse_url($path_to);
+        unset($path1['path'], $path2['path']);
+        if ($path1 != $path2) {
+            return false;
+        }
+
+        $path_from = $this->parse_path($path_from);
+        $path_to = parse_url($path_to);
+        if ($path_from === false) {
+            return false;
+        }
+
+        $path_to = $path_to['path']; // the $component part of parse_url() was added in PHP 5.1.2
+        // "It is an error if there already exists a file with the name specified by newpath."
+        //  -- http://tools.ietf.org/html/draft-ietf-secsh-filexfer-02#section-6.5
+        if (!$this->sftp->rename($path_from, $path_to)) {
+            if ($this->sftp->stat($path_to)) {
+                return $this->sftp->delete($path_to, true) && $this->sftp->rename($path_from, $path_to);
+            }
+            return false;
+        }
+
+        return true;
+    }
+
+    /**
+     * Open directory handle
+     *
+     * The only $options is "whether or not to enforce safe_mode (0x04)". Since safe mode was deprecated in 5.3 and
+     * removed in 5.4 I'm just going to ignore it.
+     *
+     * Also, nlist() is the best that this function is realistically going to be able to do. When an SFTP client
+     * sends a SSH_FXP_READDIR packet you don't generally get info on just one file but on multiple files. Quoting
+     * the SFTP specs:
+     *
+     *    The SSH_FXP_NAME response has the following format:
+     *
+     *        uint32     id
+     *        uint32     count
+     *        repeats count times:
+     *                string     filename
+     *                string     longname
+     *                ATTRS      attrs
+     *
+     * @param string $path
+     * @param int $options
+     * @return bool
+     * @access public
+     */
+    private function _dir_opendir($path, $options)
+    {
+        $path = $this->parse_path($path);
+        if ($path === false) {
+            return false;
+        }
+        $this->pos = 0;
+        $this->entries = $this->sftp->nlist($path);
+        return $this->entries !== false;
+    }
+
+    /**
+     * Read entry from directory handle
+     *
+     * @return mixed
+     * @access public
+     */
+    private function _dir_readdir()
+    {
+        if (isset($this->entries[$this->pos])) {
+            return $this->entries[$this->pos++];
+        }
+        return false;
+    }
+
+    /**
+     * Rewind directory handle
+     *
+     * @return bool
+     * @access public
+     */
+    private function _dir_rewinddir()
+    {
+        $this->pos = 0;
+        return true;
+    }
+
+    /**
+     * Close directory handle
+     *
+     * @return bool
+     * @access public
+     */
+    private function _dir_closedir()
+    {
+        return true;
+    }
+
+    /**
+     * Create a directory
+     *
+     * Only valid $options is STREAM_MKDIR_RECURSIVE
+     *
+     * @param string $path
+     * @param int $mode
+     * @param int $options
+     * @return bool
+     * @access public
+     */
+    private function _mkdir($path, $mode, $options)
+    {
+        $path = $this->parse_path($path);
+        if ($path === false) {
+            return false;
+        }
+
+        return $this->sftp->mkdir($path, $mode, $options & STREAM_MKDIR_RECURSIVE);
+    }
+
+    /**
+     * Removes a directory
+     *
+     * Only valid $options is STREAM_MKDIR_RECURSIVE per <http://php.net/streamwrapper.rmdir>, however,
+     * <http://php.net/rmdir>  does not have a $recursive parameter as mkdir() does so I don't know how
+     * STREAM_MKDIR_RECURSIVE is supposed to be set. Also, when I try it out with rmdir() I get 8 as
+     * $options. What does 8 correspond to?
+     *
+     * @param string $path
+     * @param int $options
+     * @return bool
+     * @access public
+     */
+    private function _rmdir($path, $options)
+    {
+        $path = $this->parse_path($path);
+        if ($path === false) {
+            return false;
+        }
+
+        return $this->sftp->rmdir($path);
+    }
+
+    /**
+     * Flushes the output
+     *
+     * See <http://php.net/fflush>. Always returns true because \phpseclib3\Net\SFTP doesn't cache stuff before writing
+     *
+     * @return bool
+     * @access public
+     */
+    private function _stream_flush()
+    {
+        return true;
+    }
+
+    /**
+     * Retrieve information about a file resource
+     *
+     * @return mixed
+     * @access public
+     */
+    private function _stream_stat()
+    {
+        $results = $this->sftp->stat($this->path);
+        if ($results === false) {
+            return false;
+        }
+        return $results;
+    }
+
+    /**
+     * Delete a file
+     *
+     * @param string $path
+     * @return bool
+     * @access public
+     */
+    private function _unlink($path)
+    {
+        $path = $this->parse_path($path);
+        if ($path === false) {
+            return false;
+        }
+
+        return $this->sftp->delete($path, false);
+    }
+
+    /**
+     * Retrieve information about a file
+     *
+     * Ignores the STREAM_URL_STAT_QUIET flag because the entirety of \phpseclib3\Net\SFTP\Stream is quiet by default
+     * might be worthwhile to reconstruct bits 12-16 (ie. the file type) if mode doesn't have them but we'll
+     * cross that bridge when and if it's reached
+     *
+     * @param string $path
+     * @param int $flags
+     * @return mixed
+     * @access public
+     */
+    private function _url_stat($path, $flags)
+    {
+        $path = $this->parse_path($path);
+        if ($path === false) {
+            return false;
+        }
+
+        $results = $flags & STREAM_URL_STAT_LINK ? $this->sftp->lstat($path) : $this->sftp->stat($path);
+        if ($results === false) {
+            return false;
+        }
+
+        return $results;
+    }
+
+    /**
+     * Truncate stream
+     *
+     * @param int $new_size
+     * @return bool
+     * @access public
+     */
+    private function _stream_truncate($new_size)
+    {
+        if (!$this->sftp->truncate($this->path, $new_size)) {
+            return false;
+        }
+
+        $this->eof = false;
+        $this->size = $new_size;
+
+        return true;
+    }
+
+    /**
+     * Change stream options
+     *
+     * STREAM_OPTION_WRITE_BUFFER isn't supported for the same reason stream_flush isn't.
+     * The other two aren't supported because of limitations in \phpseclib3\Net\SFTP.
+     *
+     * @param int $option
+     * @param int $arg1
+     * @param int $arg2
+     * @return bool
+     * @access public
+     */
+    private function _stream_set_option($option, $arg1, $arg2)
+    {
+        return false;
+    }
+
+    /**
+     * Close an resource
+     *
+     * @access public
+     */
+    private function _stream_close()
+    {
+    }
+
+    /**
+     * __call Magic Method
+     *
+     * When you're utilizing an SFTP stream you're not calling the methods in this class directly - PHP is calling them for you.
+     * Which kinda begs the question... what methods is PHP calling and what parameters is it passing to them? This function
+     * lets you figure that out.
+     *
+     * If NET_SFTP_STREAM_LOGGING is defined all calls will be output on the screen and then (regardless of whether or not
+     * NET_SFTP_STREAM_LOGGING is enabled) the parameters will be passed through to the appropriate method.
+     *
+     * @param string $name
+     * @param array $arguments
+     * @return mixed
+     * @access public
+     */
+    public function __call($name, $arguments)
+    {
+        if (defined('NET_SFTP_STREAM_LOGGING')) {
+            echo $name . '(';
+            $last = count($arguments) - 1;
+            foreach ($arguments as $i => $argument) {
+                var_export($argument);
+                if ($i != $last) {
+                    echo ',';
+                }
+            }
+            echo ")\r\n";
+        }
+        $name = '_' . $name;
+        if (!method_exists($this, $name)) {
+            return false;
+        }
+        return $this->$name(...$arguments);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/Net/SSH2.php b/vendor/phpseclib/phpseclib/phpseclib/Net/SSH2.php
new file mode 100644
index 000000000..8ad3dcc36
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/Net/SSH2.php
@@ -0,0 +1,4955 @@
+<?php
+
+/**
+ * Pure-PHP implementation of SSHv2.
+ *
+ * PHP version 5
+ *
+ * Here are some examples of how to use this library:
+ * <code>
+ * <?php
+ *    include 'vendor/autoload.php';
+ *
+ *    $ssh = new \phpseclib3\Net\SSH2('www.domain.tld');
+ *    if (!$ssh->login('username', 'password')) {
+ *        exit('Login Failed');
+ *    }
+ *
+ *    echo $ssh->exec('pwd');
+ *    echo $ssh->exec('ls -la');
+ * ?>
+ * </code>
+ *
+ * <code>
+ * <?php
+ *    include 'vendor/autoload.php';
+ *
+ *    $key = \phpseclib3\Crypt\PublicKeyLoader::load('...', '(optional) password');
+ *
+ *    $ssh = new \phpseclib3\Net\SSH2('www.domain.tld');
+ *    if (!$ssh->login('username', $key)) {
+ *        exit('Login Failed');
+ *    }
+ *
+ *    echo $ssh->read('username@username:~$');
+ *    $ssh->write("ls -la\n");
+ *    echo $ssh->read('username@username:~$');
+ * ?>
+ * </code>
+ *
+ * @category  Net
+ * @package   SSH2
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2007 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\Net;
+
+use phpseclib3\Crypt\Blowfish;
+use phpseclib3\Crypt\Hash;
+use phpseclib3\Crypt\Random;
+use phpseclib3\Crypt\RC4;
+use phpseclib3\Crypt\Rijndael;
+use phpseclib3\Crypt\Common\PrivateKey;
+use phpseclib3\Crypt\RSA;
+use phpseclib3\Crypt\DSA;
+use phpseclib3\Crypt\EC;
+use phpseclib3\Crypt\DH;
+use phpseclib3\Crypt\TripleDES;
+use phpseclib3\Crypt\Twofish;
+use phpseclib3\Crypt\ChaCha20;
+use phpseclib3\Math\BigInteger; // Used to do Diffie-Hellman key exchange and DSA/RSA signature verification.
+use phpseclib3\System\SSH\Agent;
+use phpseclib3\System\SSH\Agent\Identity as AgentIdentity;
+use phpseclib3\Exception\NoSupportedAlgorithmsException;
+use phpseclib3\Exception\UnsupportedAlgorithmException;
+use phpseclib3\Exception\UnsupportedCurveException;
+use phpseclib3\Exception\ConnectionClosedException;
+use phpseclib3\Exception\UnableToConnectException;
+use phpseclib3\Exception\InsufficientSetupException;
+use phpseclib3\Common\Functions\Strings;
+
+/**
+ * Pure-PHP implementation of SSHv2.
+ *
+ * @package SSH2
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class SSH2
+{
+    // Execution Bitmap Masks
+    const MASK_CONSTRUCTOR   = 0x00000001;
+    const MASK_CONNECTED     = 0x00000002;
+    const MASK_LOGIN_REQ     = 0x00000004;
+    const MASK_LOGIN         = 0x00000008;
+    const MASK_SHELL         = 0x00000010;
+    const MASK_WINDOW_ADJUST = 0x00000020;
+
+    /*
+     * Channel constants
+     *
+     * RFC4254 refers not to client and server channels but rather to sender and recipient channels.  we don't refer
+     * to them in that way because RFC4254 toggles the meaning. the client sends a SSH_MSG_CHANNEL_OPEN message with
+     * a sender channel and the server sends a SSH_MSG_CHANNEL_OPEN_CONFIRMATION in response, with a sender and a
+     * recipient channel.  at first glance, you might conclude that SSH_MSG_CHANNEL_OPEN_CONFIRMATION's sender channel
+     * would be the same thing as SSH_MSG_CHANNEL_OPEN's sender channel, but it's not, per this snippet:
+     *     The 'recipient channel' is the channel number given in the original
+     *     open request, and 'sender channel' is the channel number allocated by
+     *     the other side.
+     *
+     * @see \phpseclib3\Net\SSH2::send_channel_packet()
+     * @see \phpseclib3\Net\SSH2::get_channel_packet()
+     * @access private
+     */
+    const CHANNEL_EXEC          = 1; // PuTTy uses 0x100
+    const CHANNEL_SHELL         = 2;
+    const CHANNEL_SUBSYSTEM     = 3;
+    const CHANNEL_AGENT_FORWARD = 4;
+    const CHANNEL_KEEP_ALIVE    = 5;
+
+    /**
+     * Returns the message numbers
+     *
+     * @access public
+     * @see \phpseclib3\Net\SSH2::getLog()
+     */
+    const LOG_SIMPLE = 1;
+    /**
+     * Returns the message content
+     *
+     * @access public
+     * @see \phpseclib3\Net\SSH2::getLog()
+     */
+    const LOG_COMPLEX = 2;
+    /**
+     * Outputs the content real-time
+     *
+     * @access public
+     * @see \phpseclib3\Net\SSH2::getLog()
+     */
+    const LOG_REALTIME = 3;
+    /**
+     * Dumps the content real-time to a file
+     *
+     * @access public
+     * @see \phpseclib3\Net\SSH2::getLog()
+     */
+    const LOG_REALTIME_FILE = 4;
+    /**
+     * Make sure that the log never gets larger than this
+     *
+     * @access public
+     * @see \phpseclib3\Net\SSH2::getLog()
+     */
+    const LOG_MAX_SIZE = 1048576; // 1024 * 1024
+
+    /**
+     * Returns when a string matching $expect exactly is found
+     *
+     * @access public
+     * @see \phpseclib3\Net\SSH2::read()
+     */
+    const READ_SIMPLE = 1;
+    /**
+     * Returns when a string matching the regular expression $expect is found
+     *
+     * @access public
+     * @see \phpseclib3\Net\SSH2::read()
+     */
+    const READ_REGEX = 2;
+    /**
+     * Returns whenever a data packet is received.
+     *
+     * Some data packets may only contain a single character so it may be necessary
+     * to call read() multiple times when using this option
+     *
+     * @access public
+     * @see \phpseclib3\Net\SSH2::read()
+     */
+    const READ_NEXT = 3;
+
+    /**
+     * The SSH identifier
+     *
+     * @var string
+     * @access private
+     */
+    private $identifier;
+
+    /**
+     * The Socket Object
+     *
+     * @var object
+     * @access private
+     */
+    protected $fsock;
+
+    /**
+     * Execution Bitmap
+     *
+     * The bits that are set represent functions that have been called already.  This is used to determine
+     * if a requisite function has been successfully executed.  If not, an error should be thrown.
+     *
+     * @var int
+     * @access private
+     */
+    protected $bitmap = 0;
+
+    /**
+     * Error information
+     *
+     * @see self::getErrors()
+     * @see self::getLastError()
+     * @var array
+     * @access private
+     */
+    private $errors = [];
+
+    /**
+     * Server Identifier
+     *
+     * @see self::getServerIdentification()
+     * @var array|false
+     * @access private
+     */
+    private $server_identifier = false;
+
+    /**
+     * Key Exchange Algorithms
+     *
+     * @see self::getKexAlgorithims()
+     * @var array|false
+     * @access private
+     */
+    private $kex_algorithms = false;
+
+    /**
+     * Key Exchange Algorithm
+     *
+     * @see self::getMethodsNegotiated()
+     * @var string|false
+     * @access private
+     */
+    private $kex_algorithm = false;
+
+    /**
+     * Minimum Diffie-Hellman Group Bit Size in RFC 4419 Key Exchange Methods
+     *
+     * @see self::_key_exchange()
+     * @var int
+     * @access private
+     */
+    private $kex_dh_group_size_min = 1536;
+
+    /**
+     * Preferred Diffie-Hellman Group Bit Size in RFC 4419 Key Exchange Methods
+     *
+     * @see self::_key_exchange()
+     * @var int
+     * @access private
+     */
+    private $kex_dh_group_size_preferred = 2048;
+
+    /**
+     * Maximum Diffie-Hellman Group Bit Size in RFC 4419 Key Exchange Methods
+     *
+     * @see self::_key_exchange()
+     * @var int
+     * @access private
+     */
+    private $kex_dh_group_size_max = 4096;
+
+    /**
+     * Server Host Key Algorithms
+     *
+     * @see self::getServerHostKeyAlgorithms()
+     * @var array|false
+     * @access private
+     */
+    private $server_host_key_algorithms = false;
+
+    /**
+     * Encryption Algorithms: Client to Server
+     *
+     * @see self::getEncryptionAlgorithmsClient2Server()
+     * @var array|false
+     * @access private
+     */
+    private $encryption_algorithms_client_to_server = false;
+
+    /**
+     * Encryption Algorithms: Server to Client
+     *
+     * @see self::getEncryptionAlgorithmsServer2Client()
+     * @var array|false
+     * @access private
+     */
+    private $encryption_algorithms_server_to_client = false;
+
+    /**
+     * MAC Algorithms: Client to Server
+     *
+     * @see self::getMACAlgorithmsClient2Server()
+     * @var array|false
+     * @access private
+     */
+    private $mac_algorithms_client_to_server = false;
+
+    /**
+     * MAC Algorithms: Server to Client
+     *
+     * @see self::getMACAlgorithmsServer2Client()
+     * @var array|false
+     * @access private
+     */
+    private $mac_algorithms_server_to_client = false;
+
+    /**
+     * Compression Algorithms: Client to Server
+     *
+     * @see self::getCompressionAlgorithmsClient2Server()
+     * @var array|false
+     * @access private
+     */
+    private $compression_algorithms_client_to_server = false;
+
+    /**
+     * Compression Algorithms: Server to Client
+     *
+     * @see self::getCompressionAlgorithmsServer2Client()
+     * @var array|false
+     * @access private
+     */
+    private $compression_algorithms_server_to_client = false;
+
+    /**
+     * Languages: Server to Client
+     *
+     * @see self::getLanguagesServer2Client()
+     * @var array|false
+     * @access private
+     */
+    private $languages_server_to_client = false;
+
+    /**
+     * Languages: Client to Server
+     *
+     * @see self::getLanguagesClient2Server()
+     * @var array|false
+     * @access private
+     */
+    private $languages_client_to_server = false;
+
+    /**
+     * Preferred Algorithms
+     *
+     * @see self::setPreferredAlgorithms()
+     * @var array
+     * @access private
+     */
+    private $preferred = [];
+
+    /**
+     * Block Size for Server to Client Encryption
+     *
+     * "Note that the length of the concatenation of 'packet_length',
+     *  'padding_length', 'payload', and 'random padding' MUST be a multiple
+     *  of the cipher block size or 8, whichever is larger.  This constraint
+     *  MUST be enforced, even when using stream ciphers."
+     *
+     *  -- http://tools.ietf.org/html/rfc4253#section-6
+     *
+     * @see self::__construct()
+     * @see self::_send_binary_packet()
+     * @var int
+     * @access private
+     */
+    private $encrypt_block_size = 8;
+
+    /**
+     * Block Size for Client to Server Encryption
+     *
+     * @see self::__construct()
+     * @see self::_get_binary_packet()
+     * @var int
+     * @access private
+     */
+    private $decrypt_block_size = 8;
+
+    /**
+     * Server to Client Encryption Object
+     *
+     * @see self::_get_binary_packet()
+     * @var object
+     * @access private
+     */
+    private $decrypt = false;
+
+    /**
+     * Server to Client Length Encryption Object
+     *
+     * @see self::_get_binary_packet()
+     * @var object
+     * @access private
+     */
+    private $lengthDecrypt = false;
+
+    /**
+     * Client to Server Encryption Object
+     *
+     * @see self::_send_binary_packet()
+     * @var object
+     * @access private
+     */
+    private $encrypt = false;
+
+    /**
+     * Client to Server Length Encryption Object
+     *
+     * @see self::_send_binary_packet()
+     * @var object
+     * @access private
+     */
+    private $lengthEncrypt = false;
+
+    /**
+     * Client to Server HMAC Object
+     *
+     * @see self::_send_binary_packet()
+     * @var object
+     * @access private
+     */
+    private $hmac_create = false;
+
+    /**
+     * Server to Client HMAC Object
+     *
+     * @see self::_get_binary_packet()
+     * @var object
+     * @access private
+     */
+    private $hmac_check = false;
+
+    /**
+     * Size of server to client HMAC
+     *
+     * We need to know how big the HMAC will be for the server to client direction so that we know how many bytes to read.
+     * For the client to server side, the HMAC object will make the HMAC as long as it needs to be.  All we need to do is
+     * append it.
+     *
+     * @see self::_get_binary_packet()
+     * @var int
+     * @access private
+     */
+    private $hmac_size = false;
+
+    /**
+     * Server Public Host Key
+     *
+     * @see self::getServerPublicHostKey()
+     * @var string
+     * @access private
+     */
+    private $server_public_host_key;
+
+    /**
+     * Session identifier
+     *
+     * "The exchange hash H from the first key exchange is additionally
+     *  used as the session identifier, which is a unique identifier for
+     *  this connection."
+     *
+     *  -- http://tools.ietf.org/html/rfc4253#section-7.2
+     *
+     * @see self::_key_exchange()
+     * @var string
+     * @access private
+     */
+    private $session_id = false;
+
+    /**
+     * Exchange hash
+     *
+     * The current exchange hash
+     *
+     * @see self::_key_exchange()
+     * @var string
+     * @access private
+     */
+    private $exchange_hash = false;
+
+    /**
+     * Message Numbers
+     *
+     * @see self::__construct()
+     * @var array
+     * @access private
+     */
+    private $message_numbers = [];
+
+    /**
+     * Disconnection Message 'reason codes' defined in RFC4253
+     *
+     * @see self::__construct()
+     * @var array
+     * @access private
+     */
+    private $disconnect_reasons = [];
+
+    /**
+     * SSH_MSG_CHANNEL_OPEN_FAILURE 'reason codes', defined in RFC4254
+     *
+     * @see self::__construct()
+     * @var array
+     * @access private
+     */
+    private $channel_open_failure_reasons = [];
+
+    /**
+     * Terminal Modes
+     *
+     * @link http://tools.ietf.org/html/rfc4254#section-8
+     * @see self::__construct()
+     * @var array
+     * @access private
+     */
+    private $terminal_modes = [];
+
+    /**
+     * SSH_MSG_CHANNEL_EXTENDED_DATA's data_type_codes
+     *
+     * @link http://tools.ietf.org/html/rfc4254#section-5.2
+     * @see self::__construct()
+     * @var array
+     * @access private
+     */
+    private $channel_extended_data_type_codes = [];
+
+    /**
+     * Send Sequence Number
+     *
+     * See 'Section 6.4.  Data Integrity' of rfc4253 for more info.
+     *
+     * @see self::_send_binary_packet()
+     * @var int
+     * @access private
+     */
+    private $send_seq_no = 0;
+
+    /**
+     * Get Sequence Number
+     *
+     * See 'Section 6.4.  Data Integrity' of rfc4253 for more info.
+     *
+     * @see self::_get_binary_packet()
+     * @var int
+     * @access private
+     */
+    private $get_seq_no = 0;
+
+    /**
+     * Server Channels
+     *
+     * Maps client channels to server channels
+     *
+     * @see self::get_channel_packet()
+     * @see self::exec()
+     * @var array
+     * @access private
+     */
+    protected $server_channels = [];
+
+    /**
+     * Channel Buffers
+     *
+     * If a client requests a packet from one channel but receives two packets from another those packets should
+     * be placed in a buffer
+     *
+     * @see self::get_channel_packet()
+     * @see self::exec()
+     * @var array
+     * @access private
+     */
+    private $channel_buffers = [];
+
+    /**
+     * Channel Status
+     *
+     * Contains the type of the last sent message
+     *
+     * @see self::get_channel_packet()
+     * @var array
+     * @access private
+     */
+    protected $channel_status = [];
+
+    /**
+     * Packet Size
+     *
+     * Maximum packet size indexed by channel
+     *
+     * @see self::send_channel_packet()
+     * @var array
+     * @access private
+     */
+    private $packet_size_client_to_server = [];
+
+    /**
+     * Message Number Log
+     *
+     * @see self::getLog()
+     * @var array
+     * @access private
+     */
+    private $message_number_log = [];
+
+    /**
+     * Message Log
+     *
+     * @see self::getLog()
+     * @var array
+     * @access private
+     */
+    private $message_log = [];
+
+    /**
+     * The Window Size
+     *
+     * Bytes the other party can send before it must wait for the window to be adjusted (0x7FFFFFFF = 2GB)
+     *
+     * @var int
+     * @see self::send_channel_packet()
+     * @see self::exec()
+     * @access private
+     */
+    protected $window_size = 0x7FFFFFFF;
+
+    /**
+     * What we resize the window to
+     *
+     * When PuTTY resizes the window it doesn't add an additional 0x7FFFFFFF bytes - it adds 0x40000000 bytes.
+     * Some SFTP clients (GoAnywhere) don't support adding 0x7FFFFFFF to the window size after the fact so
+     * we'll just do what PuTTY does
+     *
+     * @var int
+     * @see self::_send_channel_packet()
+     * @see self::exec()
+     * @access private
+     */
+    var $window_resize = 0x40000000;
+
+    /**
+     * Window size, server to client
+     *
+     * Window size indexed by channel
+     *
+     * @see self::send_channel_packet()
+     * @var array
+     * @access private
+     */
+    protected $window_size_server_to_client = [];
+
+    /**
+     * Window size, client to server
+     *
+     * Window size indexed by channel
+     *
+     * @see self::get_channel_packet()
+     * @var array
+     * @access private
+     */
+    private $window_size_client_to_server = [];
+
+    /**
+     * Server signature
+     *
+     * Verified against $this->session_id
+     *
+     * @see self::getServerPublicHostKey()
+     * @var string
+     * @access private
+     */
+    private $signature = '';
+
+    /**
+     * Server signature format
+     *
+     * ssh-rsa or ssh-dss.
+     *
+     * @see self::getServerPublicHostKey()
+     * @var string
+     * @access private
+     */
+    private $signature_format = '';
+
+    /**
+     * Interactive Buffer
+     *
+     * @see self::read()
+     * @var array
+     * @access private
+     */
+    private $interactiveBuffer = '';
+
+    /**
+     * Current log size
+     *
+     * Should never exceed self::LOG_MAX_SIZE
+     *
+     * @see self::_send_binary_packet()
+     * @see self::_get_binary_packet()
+     * @var int
+     * @access private
+     */
+    private $log_size;
+
+    /**
+     * Timeout
+     *
+     * @see self::setTimeout()
+     * @access private
+     */
+    protected $timeout;
+
+    /**
+     * Current Timeout
+     *
+     * @see self::get_channel_packet()
+     * @access private
+     */
+    protected $curTimeout;
+
+    /**
+     * Keep Alive Interval
+     *
+     * @see self::setKeepAlive()
+     * @access private
+     */
+    var $keepAlive;
+
+    /**
+     * Real-time log file pointer
+     *
+     * @see self::_append_log()
+     * @var resource
+     * @access private
+     */
+    private $realtime_log_file;
+
+    /**
+     * Real-time log file size
+     *
+     * @see self::_append_log()
+     * @var int
+     * @access private
+     */
+    private $realtime_log_size;
+
+    /**
+     * Has the signature been validated?
+     *
+     * @see self::getServerPublicHostKey()
+     * @var bool
+     * @access private
+     */
+    private $signature_validated = false;
+
+    /**
+     * Real-time log file wrap boolean
+     *
+     * @see self::_append_log()
+     * @access private
+     */
+    private $realtime_log_wrap;
+
+    /**
+     * Flag to suppress stderr from output
+     *
+     * @see self::enableQuietMode()
+     * @access private
+     */
+    private $quiet_mode = false;
+
+    /**
+     * Time of first network activity
+     *
+     * @var int
+     * @access private
+     */
+    private $last_packet;
+
+    /**
+     * Exit status returned from ssh if any
+     *
+     * @var int
+     * @access private
+     */
+    private $exit_status;
+
+    /**
+     * Flag to request a PTY when using exec()
+     *
+     * @var bool
+     * @see self::enablePTY()
+     * @access private
+     */
+    private $request_pty = false;
+
+    /**
+     * Flag set while exec() is running when using enablePTY()
+     *
+     * @var bool
+     * @access private
+     */
+    private $in_request_pty_exec = false;
+
+    /**
+     * Flag set after startSubsystem() is called
+     *
+     * @var bool
+     * @access private
+     */
+    private $in_subsystem;
+
+    /**
+     * Contents of stdError
+     *
+     * @var string
+     * @access private
+     */
+    private $stdErrorLog;
+
+    /**
+     * The Last Interactive Response
+     *
+     * @see self::_keyboard_interactive_process()
+     * @var string
+     * @access private
+     */
+    private $last_interactive_response = '';
+
+    /**
+     * Keyboard Interactive Request / Responses
+     *
+     * @see self::_keyboard_interactive_process()
+     * @var array
+     * @access private
+     */
+    private $keyboard_requests_responses = [];
+
+    /**
+     * Banner Message
+     *
+     * Quoting from the RFC, "in some jurisdictions, sending a warning message before
+     * authentication may be relevant for getting legal protection."
+     *
+     * @see self::_filter()
+     * @see self::getBannerMessage()
+     * @var string
+     * @access private
+     */
+    private $banner_message = '';
+
+    /**
+     * Did read() timeout or return normally?
+     *
+     * @see self::isTimeout()
+     * @var bool
+     * @access private
+     */
+    private $is_timeout = false;
+
+    /**
+     * Log Boundary
+     *
+     * @see self::_format_log()
+     * @var string
+     * @access private
+     */
+    private $log_boundary = ':';
+
+    /**
+     * Log Long Width
+     *
+     * @see self::_format_log()
+     * @var int
+     * @access private
+     */
+    private $log_long_width = 65;
+
+    /**
+     * Log Short Width
+     *
+     * @see self::_format_log()
+     * @var int
+     * @access private
+     */
+    private $log_short_width = 16;
+
+    /**
+     * Hostname
+     *
+     * @see self::__construct()
+     * @see self::_connect()
+     * @var string
+     * @access private
+     */
+    private $host;
+
+    /**
+     * Port Number
+     *
+     * @see self::__construct()
+     * @see self::_connect()
+     * @var int
+     * @access private
+     */
+    private $port;
+
+    /**
+     * Number of columns for terminal window size
+     *
+     * @see self::getWindowColumns()
+     * @see self::setWindowColumns()
+     * @see self::setWindowSize()
+     * @var int
+     * @access private
+     */
+    private $windowColumns = 80;
+
+    /**
+     * Number of columns for terminal window size
+     *
+     * @see self::getWindowRows()
+     * @see self::setWindowRows()
+     * @see self::setWindowSize()
+     * @var int
+     * @access private
+     */
+    private $windowRows = 24;
+
+    /**
+     * Crypto Engine
+     *
+     * @see self::setCryptoEngine()
+     * @see self::_key_exchange()
+     * @var int
+     * @access private
+     */
+    private static $crypto_engine = false;
+
+    /**
+     * A System_SSH_Agent for use in the SSH2 Agent Forwarding scenario
+     *
+     * @var \phpseclib3\System\Ssh\Agent
+     * @access private
+     */
+    private $agent;
+
+    /**
+     * Connection storage to replicates ssh2 extension functionality:
+     * {@link http://php.net/manual/en/wrappers.ssh2.php#refsect1-wrappers.ssh2-examples}
+     *
+     * @var SSH2[]
+     */
+    private static $connections;
+
+    /**
+     * Send the identification string first?
+     *
+     * @var bool
+     * @access private
+     */
+    private $send_id_string_first = true;
+
+    /**
+     * Send the key exchange initiation packet first?
+     *
+     * @var bool
+     * @access private
+     */
+    private $send_kex_first = true;
+
+    /**
+     * Some versions of OpenSSH incorrectly calculate the key size
+     *
+     * @var bool
+     * @access private
+     */
+    private $bad_key_size_fix = false;
+
+    /**
+     * Should we try to re-connect to re-establish keys?
+     *
+     * @var bool
+     * @access private
+     */
+    private $retry_connect = false;
+
+    /**
+     * Binary Packet Buffer
+     *
+     * @var string|false
+     * @access private
+     */
+    private $binary_packet_buffer = false;
+
+    /**
+     * Preferred Signature Format
+     *
+     * @var string|false
+     * @access private
+     */
+    protected $preferred_signature_format = false;
+
+    /**
+     * Authentication Credentials
+     *
+     * @var array
+     * @access private
+     */
+    protected $auth = [];
+
+    /**
+     * Default Constructor.
+     *
+     * $host can either be a string, representing the host, or a stream resource.
+     *
+     * @param mixed $host
+     * @param int $port
+     * @param int $timeout
+     * @see self::login()
+     * @return SSH2|void
+     * @access public
+     */
+    public function __construct($host, $port = 22, $timeout = 10)
+    {
+        $this->message_numbers = [
+            1 => 'NET_SSH2_MSG_DISCONNECT',
+            2 => 'NET_SSH2_MSG_IGNORE',
+            3 => 'NET_SSH2_MSG_UNIMPLEMENTED',
+            4 => 'NET_SSH2_MSG_DEBUG',
+            5 => 'NET_SSH2_MSG_SERVICE_REQUEST',
+            6 => 'NET_SSH2_MSG_SERVICE_ACCEPT',
+            20 => 'NET_SSH2_MSG_KEXINIT',
+            21 => 'NET_SSH2_MSG_NEWKEYS',
+            30 => 'NET_SSH2_MSG_KEXDH_INIT',
+            31 => 'NET_SSH2_MSG_KEXDH_REPLY',
+            50 => 'NET_SSH2_MSG_USERAUTH_REQUEST',
+            51 => 'NET_SSH2_MSG_USERAUTH_FAILURE',
+            52 => 'NET_SSH2_MSG_USERAUTH_SUCCESS',
+            53 => 'NET_SSH2_MSG_USERAUTH_BANNER',
+
+            80 => 'NET_SSH2_MSG_GLOBAL_REQUEST',
+            81 => 'NET_SSH2_MSG_REQUEST_SUCCESS',
+            82 => 'NET_SSH2_MSG_REQUEST_FAILURE',
+            90 => 'NET_SSH2_MSG_CHANNEL_OPEN',
+            91 => 'NET_SSH2_MSG_CHANNEL_OPEN_CONFIRMATION',
+            92 => 'NET_SSH2_MSG_CHANNEL_OPEN_FAILURE',
+            93 => 'NET_SSH2_MSG_CHANNEL_WINDOW_ADJUST',
+            94 => 'NET_SSH2_MSG_CHANNEL_DATA',
+            95 => 'NET_SSH2_MSG_CHANNEL_EXTENDED_DATA',
+            96 => 'NET_SSH2_MSG_CHANNEL_EOF',
+            97 => 'NET_SSH2_MSG_CHANNEL_CLOSE',
+            98 => 'NET_SSH2_MSG_CHANNEL_REQUEST',
+            99 => 'NET_SSH2_MSG_CHANNEL_SUCCESS',
+            100 => 'NET_SSH2_MSG_CHANNEL_FAILURE'
+        ];
+        $this->disconnect_reasons = [
+            1 => 'NET_SSH2_DISCONNECT_HOST_NOT_ALLOWED_TO_CONNECT',
+            2 => 'NET_SSH2_DISCONNECT_PROTOCOL_ERROR',
+            3 => 'NET_SSH2_DISCONNECT_KEY_EXCHANGE_FAILED',
+            4 => 'NET_SSH2_DISCONNECT_RESERVED',
+            5 => 'NET_SSH2_DISCONNECT_MAC_ERROR',
+            6 => 'NET_SSH2_DISCONNECT_COMPRESSION_ERROR',
+            7 => 'NET_SSH2_DISCONNECT_SERVICE_NOT_AVAILABLE',
+            8 => 'NET_SSH2_DISCONNECT_PROTOCOL_VERSION_NOT_SUPPORTED',
+            9 => 'NET_SSH2_DISCONNECT_HOST_KEY_NOT_VERIFIABLE',
+            10 => 'NET_SSH2_DISCONNECT_CONNECTION_LOST',
+            11 => 'NET_SSH2_DISCONNECT_BY_APPLICATION',
+            12 => 'NET_SSH2_DISCONNECT_TOO_MANY_CONNECTIONS',
+            13 => 'NET_SSH2_DISCONNECT_AUTH_CANCELLED_BY_USER',
+            14 => 'NET_SSH2_DISCONNECT_NO_MORE_AUTH_METHODS_AVAILABLE',
+            15 => 'NET_SSH2_DISCONNECT_ILLEGAL_USER_NAME'
+        ];
+        $this->channel_open_failure_reasons = [
+            1 => 'NET_SSH2_OPEN_ADMINISTRATIVELY_PROHIBITED'
+        ];
+        $this->terminal_modes = [
+            0 => 'NET_SSH2_TTY_OP_END'
+        ];
+        $this->channel_extended_data_type_codes = [
+            1 => 'NET_SSH2_EXTENDED_DATA_STDERR'
+        ];
+
+        $this->define_array(
+            $this->message_numbers,
+            $this->disconnect_reasons,
+            $this->channel_open_failure_reasons,
+            $this->terminal_modes,
+            $this->channel_extended_data_type_codes,
+            [60 => 'NET_SSH2_MSG_USERAUTH_PASSWD_CHANGEREQ'],
+            [60 => 'NET_SSH2_MSG_USERAUTH_PK_OK'],
+            [60 => 'NET_SSH2_MSG_USERAUTH_INFO_REQUEST',
+                  61 => 'NET_SSH2_MSG_USERAUTH_INFO_RESPONSE'],
+            // RFC 4419 - diffie-hellman-group-exchange-sha{1,256}
+            [30 => 'NET_SSH2_MSG_KEXDH_GEX_REQUEST_OLD',
+                  31 => 'NET_SSH2_MSG_KEXDH_GEX_GROUP',
+                  32 => 'NET_SSH2_MSG_KEXDH_GEX_INIT',
+                  33 => 'NET_SSH2_MSG_KEXDH_GEX_REPLY',
+                  34 => 'NET_SSH2_MSG_KEXDH_GEX_REQUEST'],
+            // RFC 5656 - Elliptic Curves (for curve25519-sha256@libssh.org)
+            [30 => 'NET_SSH2_MSG_KEX_ECDH_INIT',
+                  31 => 'NET_SSH2_MSG_KEX_ECDH_REPLY']
+        );
+
+        self::$connections[$this->getResourceId()] = $this;
+
+        if (is_resource($host)) {
+            $this->fsock = $host;
+            return;
+        }
+
+        if (is_string($host)) {
+            $this->host = $host;
+            $this->port = $port;
+            $this->timeout = $timeout;
+        }
+    }
+
+    /**
+     * Set Crypto Engine Mode
+     *
+     * Possible $engine values:
+     * OpenSSL, mcrypt, Eval, PHP
+     *
+     * @param int $engine
+     * @access public
+     */
+    public static function setCryptoEngine($engine)
+    {
+        self::$crypto_engine = $engine;
+    }
+
+    /**
+     * Send Identification String First
+     *
+     * https://tools.ietf.org/html/rfc4253#section-4.2 says "when the connection has been established,
+     * both sides MUST send an identification string". It does not say which side sends it first. In
+     * theory it shouldn't matter but it is a fact of life that some SSH servers are simply buggy
+     *
+     * @access public
+     */
+    public function sendIdentificationStringFirst()
+    {
+        $this->send_id_string_first = true;
+    }
+
+    /**
+     * Send Identification String Last
+     *
+     * https://tools.ietf.org/html/rfc4253#section-4.2 says "when the connection has been established,
+     * both sides MUST send an identification string". It does not say which side sends it first. In
+     * theory it shouldn't matter but it is a fact of life that some SSH servers are simply buggy
+     *
+     * @access public
+     */
+    public function sendIdentificationStringLast()
+    {
+        $this->send_id_string_first = false;
+    }
+
+    /**
+     * Send SSH_MSG_KEXINIT First
+     *
+     * https://tools.ietf.org/html/rfc4253#section-7.1 says "key exchange begins by each sending
+     * sending the [SSH_MSG_KEXINIT] packet". It does not say which side sends it first. In theory
+     * it shouldn't matter but it is a fact of life that some SSH servers are simply buggy
+     *
+     * @access public
+     */
+    public function sendKEXINITFirst()
+    {
+        $this->send_kex_first = true;
+    }
+
+    /**
+     * Send SSH_MSG_KEXINIT Last
+     *
+     * https://tools.ietf.org/html/rfc4253#section-7.1 says "key exchange begins by each sending
+     * sending the [SSH_MSG_KEXINIT] packet". It does not say which side sends it first. In theory
+     * it shouldn't matter but it is a fact of life that some SSH servers are simply buggy
+     *
+     * @access public
+     */
+    public function sendKEXINITLast()
+    {
+        $this->send_kex_first = false;
+    }
+
+    /**
+     * Connect to an SSHv2 server
+     *
+     * @return bool
+     * @throws \UnexpectedValueException on receipt of unexpected packets
+     * @throws \RuntimeException on other errors
+     * @access private
+     */
+    private function connect()
+    {
+        if ($this->bitmap & self::MASK_CONSTRUCTOR) {
+            return false;
+        }
+
+        $this->bitmap |= self::MASK_CONSTRUCTOR;
+
+        $this->curTimeout = $this->timeout;
+
+        $this->last_packet = microtime(true);
+
+        if (!is_resource($this->fsock)) {
+            $start = microtime(true);
+            // with stream_select a timeout of 0 means that no timeout takes place;
+            // with fsockopen a timeout of 0 means that you instantly timeout
+            // to resolve this incompatibility a timeout of 100,000 will be used for fsockopen if timeout is 0
+            $this->fsock = @fsockopen($this->host, $this->port, $errno, $errstr, $this->curTimeout == 0 ? 100000 : $this->curTimeout);
+            if (!$this->fsock) {
+                $host = $this->host . ':' . $this->port;
+                throw new UnableToConnectException(rtrim("Cannot connect to $host. Error $errno. $errstr"));
+            }
+            $elapsed = microtime(true) - $start;
+
+            if ($this->curTimeout) {
+                $this->curTimeout-= $elapsed;
+                if ($this->curTimeout < 0) {
+                    $this->is_timeout = true;
+                    return false;
+                }
+            }
+        }
+
+        $this->identifier = $this->generate_identifier();
+
+        if ($this->send_id_string_first) {
+            fputs($this->fsock, $this->identifier . "\r\n");
+        }
+
+        /* According to the SSH2 specs,
+
+          "The server MAY send other lines of data before sending the version
+           string.  Each line SHOULD be terminated by a Carriage Return and Line
+           Feed.  Such lines MUST NOT begin with "SSH-", and SHOULD be encoded
+           in ISO-10646 UTF-8 [RFC3629] (language is not specified).  Clients
+           MUST be able to process such lines." */
+        $data = '';
+        while (!feof($this->fsock) && !preg_match('#(.*)^(SSH-(\d\.\d+).*)#ms', $data, $matches)) {
+            $line = '';
+            while (true) {
+                if ($this->curTimeout) {
+                    if ($this->curTimeout < 0) {
+                        $this->is_timeout = true;
+                        return false;
+                    }
+                    $read = [$this->fsock];
+                    $write = $except = null;
+                    $start = microtime(true);
+                    $sec = floor($this->curTimeout);
+                    $usec = 1000000 * ($this->curTimeout - $sec);
+                    if (@stream_select($read, $write, $except, $sec, $usec) === false) {
+                        $this->is_timeout = true;
+                        return false;
+                    }
+                    $elapsed = microtime(true) - $start;
+                    $this->curTimeout-= $elapsed;
+                }
+
+                $temp = stream_get_line($this->fsock, 255, "\n");
+                if (strlen($temp) == 255) {
+                    continue;
+                }
+                if ($temp === false) {
+                    return false;
+                }
+
+                $line.= "$temp\n";
+
+                // quoting RFC4253, "Implementers who wish to maintain
+                // compatibility with older, undocumented versions of this protocol may
+                // want to process the identification string without expecting the
+                // presence of the carriage return character for reasons described in
+                // Section 5 of this document."
+
+                //if (substr($line, -2) == "\r\n") {
+                //    break;
+                //}
+
+                break;
+            }
+
+            $data.= $line;
+        }
+
+        if (feof($this->fsock)) {
+            $this->bitmap = 0;
+            throw new ConnectionClosedException('Connection closed by server');
+        }
+
+        $extra = $matches[1];
+
+        if (defined('NET_SSH2_LOGGING')) {
+            $this->append_log('<-', $matches[0]);
+            $this->append_log('->', $this->identifier . "\r\n");
+        }
+
+        $this->server_identifier = trim($temp, "\r\n");
+        if (strlen($extra)) {
+            $this->errors[] = $data;
+        }
+
+        if (version_compare($matches[3], '1.99', '<')) {
+            $this->bitmap = 0;
+            throw new UnableToConnectException("Cannot connect to SSH $matches[3] servers");
+        }
+
+        if (!$this->send_id_string_first) {
+            fputs($this->fsock, $this->identifier . "\r\n");
+        }
+
+        if (!$this->send_kex_first) {
+            $response = $this->get_binary_packet();
+            if ($response === false) {
+                $this->bitmap = 0;
+                throw new ConnectionClosedException('Connection closed by server');
+            }
+
+            if (!strlen($response) || ord($response[0]) != NET_SSH2_MSG_KEXINIT) {
+                $this->bitmap = 0;
+                throw new \UnexpectedValueException('Expected SSH_MSG_KEXINIT');
+            }
+
+            if (!$this->key_exchange($response)) {
+                return false;
+            }
+        }
+
+        if ($this->send_kex_first && !$this->key_exchange()) {
+            return false;
+        }
+
+        $this->bitmap|= self::MASK_CONNECTED;
+
+        return true;
+    }
+
+    /**
+     * Generates the SSH identifier
+     *
+     * You should overwrite this method in your own class if you want to use another identifier
+     *
+     * @access protected
+     * @return string
+     */
+    private function generate_identifier()
+    {
+        $identifier = 'SSH-2.0-phpseclib_3.0';
+
+        $ext = [];
+        if (extension_loaded('sodium')) {
+            $ext[] = 'libsodium';
+        }
+
+        if (extension_loaded('openssl')) {
+            $ext[] = 'openssl';
+        } elseif (extension_loaded('mcrypt')) {
+            $ext[] = 'mcrypt';
+        }
+
+        if (extension_loaded('gmp')) {
+            $ext[] = 'gmp';
+        } elseif (extension_loaded('bcmath')) {
+            $ext[] = 'bcmath';
+        }
+
+        if (!empty($ext)) {
+            $identifier .= ' (' . implode(', ', $ext) . ')';
+        }
+
+        return $identifier;
+    }
+
+    /**
+     * Key Exchange
+     *
+     * @return bool
+     * @param string|bool $kexinit_payload_server optional
+     * @throws \UnexpectedValueException on receipt of unexpected packets
+     * @throws \RuntimeException on other errors
+     * @throws \phpseclib3\Exception\NoSupportedAlgorithmsException when none of the algorithms phpseclib has loaded are compatible
+     * @access private
+     */
+    private function key_exchange($kexinit_payload_server = false)
+    {
+        $preferred = $this->preferred;
+
+        $kex_algorithms = isset($preferred['kex']) ?
+            $preferred['kex'] :
+            SSH2::getSupportedKEXAlgorithms();
+        $server_host_key_algorithms = isset($preferred['hostkey']) ?
+            $preferred['hostkey'] :
+            SSH2::getSupportedHostKeyAlgorithms();
+        $s2c_encryption_algorithms = isset($preferred['server_to_client']['crypt']) ?
+            $preferred['server_to_client']['crypt'] :
+            SSH2::getSupportedEncryptionAlgorithms();
+        $c2s_encryption_algorithms = isset($preferred['client_to_server']['crypt']) ?
+            $preferred['client_to_server']['crypt'] :
+            SSH2::getSupportedEncryptionAlgorithms();
+        $s2c_mac_algorithms = isset($preferred['server_to_client']['mac']) ?
+            $preferred['server_to_client']['mac'] :
+            SSH2::getSupportedMACAlgorithms();
+        $c2s_mac_algorithms = isset($preferred['client_to_server']['mac']) ?
+            $preferred['client_to_server']['mac'] :
+            SSH2::getSupportedMACAlgorithms();
+        $s2c_compression_algorithms = isset($preferred['server_to_client']['comp']) ?
+            $preferred['server_to_client']['comp'] :
+            SSH2::getSupportedCompressionAlgorithms();
+        $c2s_compression_algorithms = isset($preferred['client_to_server']['comp']) ?
+            $preferred['client_to_server']['comp'] :
+            SSH2::getSupportedCompressionAlgorithms();
+
+        // some SSH servers have buggy implementations of some of the above algorithms
+        switch (true) {
+            case $this->server_identifier == 'SSH-2.0-SSHD':
+            case substr($this->server_identifier, 0, 13) == 'SSH-2.0-DLINK':
+                if (!isset($preferred['server_to_client']['mac'])) {
+                    $s2c_mac_algorithms = array_values(array_diff(
+                        $s2c_mac_algorithms,
+                        ['hmac-sha1-96', 'hmac-md5-96']
+                    ));
+                }
+                if (!isset($preferred['client_to_server']['mac'])) {
+                    $c2s_mac_algorithms = array_values(array_diff(
+                        $c2s_mac_algorithms,
+                        ['hmac-sha1-96', 'hmac-md5-96']
+                    ));
+                }
+        }
+
+        $client_cookie = Random::string(16);
+
+        $kexinit_payload_client = pack('Ca*', NET_SSH2_MSG_KEXINIT, $client_cookie);
+        $kexinit_payload_client.= Strings::packSSH2(
+            'L10bN',
+            $kex_algorithms,
+            $server_host_key_algorithms,
+            $c2s_encryption_algorithms,
+            $s2c_encryption_algorithms,
+            $c2s_mac_algorithms,
+            $s2c_mac_algorithms,
+            $c2s_compression_algorithms,
+            $s2c_compression_algorithms,
+            [], // language, client to server
+            [], // language, server to client
+            false, // first_kex_packet_follows
+            0 // reserved for future extension
+        );
+
+        if ($this->send_kex_first) {
+            $this->send_binary_packet($kexinit_payload_client);
+
+            $kexinit_payload_server = $this->get_binary_packet();
+            if ($kexinit_payload_server === false) {
+                $this->disconnect_helper(NET_SSH2_DISCONNECT_CONNECTION_LOST);
+                throw new ConnectionClosedException('Connection closed by server');
+            }
+
+            if (!strlen($kexinit_payload_server) || ord($kexinit_payload_server[0]) != NET_SSH2_MSG_KEXINIT) {
+                $this->disconnect_helper(NET_SSH2_DISCONNECT_PROTOCOL_ERROR);
+                throw new \UnexpectedValueException('Expected SSH_MSG_KEXINIT');
+            }
+        }
+
+        $response = $kexinit_payload_server;
+        Strings::shift($response, 1); // skip past the message number (it should be SSH_MSG_KEXINIT)
+        $server_cookie = Strings::shift($response, 16);
+
+        list(
+            $this->kex_algorithms,
+            $this->server_host_key_algorithms,
+            $this->encryption_algorithms_client_to_server,
+            $this->encryption_algorithms_server_to_client,
+            $this->mac_algorithms_client_to_server,
+            $this->mac_algorithms_server_to_client,
+            $this->compression_algorithms_client_to_server,
+            $this->compression_algorithms_server_to_client,
+            $this->languages_client_to_server,
+            $this->languages_server_to_client,
+            $first_kex_packet_follows
+        ) = Strings::unpackSSH2('L10C', $response);
+
+        if (!$this->send_kex_first) {
+            $this->send_binary_packet($kexinit_payload_client);
+        }
+
+        // we need to decide upon the symmetric encryption algorithms before we do the diffie-hellman key exchange
+
+        // we don't initialize any crypto-objects, yet - we do that, later. for now, we need the lengths to make the
+        // diffie-hellman key exchange as fast as possible
+        $decrypt = self::array_intersect_first($s2c_encryption_algorithms, $this->encryption_algorithms_server_to_client);
+        $decryptKeyLength = $this->encryption_algorithm_to_key_size($decrypt);
+        if ($decryptKeyLength === null) {
+            $this->disconnect_helper(NET_SSH2_DISCONNECT_KEY_EXCHANGE_FAILED);
+            throw new NoSupportedAlgorithmsException('No compatible server to client encryption algorithms found');
+        }
+
+        $encrypt = self::array_intersect_first($c2s_encryption_algorithms, $this->encryption_algorithms_client_to_server);
+        $encryptKeyLength = $this->encryption_algorithm_to_key_size($encrypt);
+        if ($encryptKeyLength === null) {
+            $this->disconnect_helper(NET_SSH2_DISCONNECT_KEY_EXCHANGE_FAILED);
+            throw new NoSupportedAlgorithmsException('No compatible client to server encryption algorithms found');
+        }
+
+        // through diffie-hellman key exchange a symmetric key is obtained
+        $this->kex_algorithm = self::array_intersect_first($kex_algorithms, $this->kex_algorithms);
+        if ($this->kex_algorithm === false) {
+            $this->disconnect_helper(NET_SSH2_DISCONNECT_KEY_EXCHANGE_FAILED);
+            throw new NoSupportedAlgorithmsException('No compatible key exchange algorithms found');
+        }
+
+        $server_host_key_algorithm = self::array_intersect_first($server_host_key_algorithms, $this->server_host_key_algorithms);
+        if ($server_host_key_algorithm === false) {
+            $this->disconnect_helper(NET_SSH2_DISCONNECT_KEY_EXCHANGE_FAILED);
+            throw new NoSupportedAlgorithmsException('No compatible server host key algorithms found');
+        }
+
+        $mac_algorithm_out = self::array_intersect_first($c2s_mac_algorithms, $this->mac_algorithms_client_to_server);
+        if ($mac_algorithm_out === false) {
+            $this->disconnect_helper(NET_SSH2_DISCONNECT_KEY_EXCHANGE_FAILED);
+            throw new NoSupportedAlgorithmsException('No compatible client to server message authentication algorithms found');
+        }
+
+        $mac_algorithm_in = self::array_intersect_first($s2c_mac_algorithms, $this->mac_algorithms_server_to_client);
+        if ($mac_algorithm_in === false) {
+            $this->disconnect_helper(NET_SSH2_DISCONNECT_KEY_EXCHANGE_FAILED);
+            throw new NoSupportedAlgorithmsException('No compatible server to client message authentication algorithms found');
+        }
+
+        $compression_algorithm_in = self::array_intersect_first($s2c_compression_algorithms, $this->compression_algorithms_server_to_client);
+        if ($compression_algorithm_in === false) {
+            $this->disconnect_helper(NET_SSH2_DISCONNECT_KEY_EXCHANGE_FAILED);
+            throw new NoSupportedAlgorithmsException('No compatible server to client compression algorithms found');
+        }
+        $this->decompress = $compression_algorithm_in == 'zlib';
+
+        $compression_algorithm_out = self::array_intersect_first($c2s_compression_algorithms, $this->compression_algorithms_client_to_server);
+        if ($compression_algorithm_out === false) {
+            $this->disconnect_helper(NET_SSH2_DISCONNECT_KEY_EXCHANGE_FAILED);
+            throw new NoSupportedAlgorithmsException('No compatible client to server compression algorithms found');
+        }
+        $this->compress = $compression_algorithm_out == 'zlib';
+
+        switch ($this->kex_algorithm) {
+            case 'diffie-hellman-group15-sha512':
+            case 'diffie-hellman-group16-sha512':
+            case 'diffie-hellman-group17-sha512':
+            case 'diffie-hellman-group18-sha512':
+            case 'ecdh-sha2-nistp521':
+                $kexHash = new Hash('sha512');
+                break;
+            case 'ecdh-sha2-nistp384':
+                $kexHash = new Hash('sha384');
+                break;
+            case 'diffie-hellman-group-exchange-sha256':
+            case 'diffie-hellman-group14-sha256':
+            case 'ecdh-sha2-nistp256':
+            case 'curve25519-sha256@libssh.org':
+            case 'curve25519-sha256':
+                $kexHash = new Hash('sha256');
+                break;
+            default:
+                $kexHash = new Hash('sha1');
+        }
+
+        // Only relevant in diffie-hellman-group-exchange-sha{1,256}, otherwise empty.
+
+        $exchange_hash_rfc4419 = '';
+
+        if (strpos($this->kex_algorithm, 'curve25519-sha256') === 0 || strpos($this->kex_algorithm, 'ecdh-sha2-nistp') === 0) {
+            $curve = strpos($this->kex_algorithm, 'curve25519-sha256') === 0 ?
+                'Curve25519' :
+                substr($this->kex_algorithm, 10);
+            $ourPrivate = EC::createKey($curve);
+            $ourPublicBytes = $ourPrivate->getPublicKey()->getEncodedCoordinates();
+            $clientKexInitMessage = 'NET_SSH2_MSG_KEX_ECDH_INIT';
+            $serverKexReplyMessage = 'NET_SSH2_MSG_KEX_ECDH_REPLY';
+        } else {
+            if (strpos($this->kex_algorithm, 'diffie-hellman-group-exchange') === 0) {
+                $dh_group_sizes_packed = pack(
+                    'NNN',
+                    $this->kex_dh_group_size_min,
+                    $this->kex_dh_group_size_preferred,
+                    $this->kex_dh_group_size_max
+                );
+                $packet = pack(
+                    'Ca*',
+                    NET_SSH2_MSG_KEXDH_GEX_REQUEST,
+                    $dh_group_sizes_packed
+                );
+                $this->send_binary_packet($packet);
+                $this->updateLogHistory('UNKNOWN (34)', 'NET_SSH2_MSG_KEXDH_GEX_REQUEST');
+
+                $response = $this->get_binary_packet();
+                if ($response === false) {
+                    $this->disconnect_helper(NET_SSH2_DISCONNECT_KEY_EXCHANGE_FAILED);
+                    throw new ConnectionClosedException('Connection closed by server');
+                }
+
+                list($type, $primeBytes, $gBytes) = Strings::unpackSSH2('Css', $response);
+                if ($type != NET_SSH2_MSG_KEXDH_GEX_GROUP) {
+                    $this->disconnect_helper(NET_SSH2_DISCONNECT_PROTOCOL_ERROR);
+                    throw new \UnexpectedValueException('Expected SSH_MSG_KEX_DH_GEX_GROUP');
+                }
+                $this->updateLogHistory('NET_SSH2_MSG_KEXDH_REPLY', 'NET_SSH2_MSG_KEXDH_GEX_GROUP');
+                $prime = new BigInteger($primeBytes, -256);
+                $g = new BigInteger($gBytes, -256);
+
+                $exchange_hash_rfc4419 = $dh_group_sizes_packed . Strings::packSSH2(
+                    'ss',
+                    $primeBytes,
+                    $gBytes
+                );
+
+                $params = DH::createParameters($prime, $g);
+                $clientKexInitMessage = 'NET_SSH2_MSG_KEXDH_GEX_INIT';
+                $serverKexReplyMessage = 'NET_SSH2_MSG_KEXDH_GEX_REPLY';
+            } else {
+                $params = DH::createParameters($this->kex_algorithm);
+                $clientKexInitMessage = 'NET_SSH2_MSG_KEXDH_INIT';
+                $serverKexReplyMessage = 'NET_SSH2_MSG_KEXDH_REPLY';
+            }
+
+            $keyLength = min($kexHash->getLengthInBytes(), max($encryptKeyLength, $decryptKeyLength));
+
+            $ourPrivate = DH::createKey($params, 16 * $keyLength); // 2 * 8 * $keyLength
+            $ourPublic = $ourPrivate->getPublicKey()->toBigInteger();
+            $ourPublicBytes = $ourPublic->toBytes(true);
+        }
+
+        $data = pack('CNa*', constant($clientKexInitMessage), strlen($ourPublicBytes), $ourPublicBytes);
+
+        $this->send_binary_packet($data);
+
+        switch ($clientKexInitMessage) {
+            case 'NET_SSH2_MSG_KEX_ECDH_INIT':
+                $this->updateLogHistory('NET_SSH2_MSG_KEXDH_INIT', 'NET_SSH2_MSG_KEX_ECDH_INIT');
+                break;
+            case 'NET_SSH2_MSG_KEXDH_GEX_INIT':
+                $this->updateLogHistory('UNKNOWN (32)', 'NET_SSH2_MSG_KEXDH_GEX_INIT');
+        }
+
+        $response = $this->get_binary_packet();
+        if ($response === false) {
+            $this->disconnect_helper(NET_SSH2_DISCONNECT_CONNECTION_LOST);
+            throw new ConnectionClosedException('Connection closed by server');
+        }
+        if (!strlen($response)) {
+            return false;
+        }
+
+        list(
+            $type,
+            $server_public_host_key,
+            $theirPublicBytes,
+            $this->signature
+        ) = Strings::unpackSSH2('Csss', $response);
+
+        if ($type != constant($serverKexReplyMessage)) {
+            $this->disconnect_helper(NET_SSH2_DISCONNECT_PROTOCOL_ERROR);
+            throw new \UnexpectedValueException("Expected $serverKexReplyMessage");
+        }
+        switch ($serverKexReplyMessage) {
+            case 'NET_SSH2_MSG_KEX_ECDH_REPLY':
+                $this->updateLogHistory('NET_SSH2_MSG_KEXDH_REPLY', 'NET_SSH2_MSG_KEX_ECDH_REPLY');
+                break;
+            case 'NET_SSH2_MSG_KEXDH_GEX_REPLY':
+                $this->updateLogHistory('UNKNOWN (33)', 'NET_SSH2_MSG_KEXDH_GEX_REPLY');
+        }
+
+        $this->server_public_host_key = $server_public_host_key;
+        list($public_key_format) = Strings::unpackSSH2('s', $server_public_host_key);
+
+        if (strlen($this->signature) < 4) {
+            return false;
+        }
+        $temp = unpack('Nlength', substr($this->signature, 0, 4));
+        $this->signature_format = substr($this->signature, 4, $temp['length']);
+        $keyBytes = DH::computeSecret($ourPrivate, $theirPublicBytes);
+        if (($keyBytes & "\xFF\x80") === "\x00\x00") {
+            $keyBytes = substr($keyBytes, 1);
+        } elseif (($keyBytes[0] & "\x80") === "\x80") {
+            $keyBytes = "\0$keyBytes";
+        }
+
+        $this->exchange_hash = Strings::packSSH2('s5',
+            $this->identifier,
+            $this->server_identifier,
+            $kexinit_payload_client,
+            $kexinit_payload_server,
+            $this->server_public_host_key
+        );
+        $this->exchange_hash.= $exchange_hash_rfc4419;
+        $this->exchange_hash.= Strings::packSSH2('s3',
+            $ourPublicBytes,
+            $theirPublicBytes,
+            $keyBytes
+        );
+
+        $this->exchange_hash = $kexHash->hash($this->exchange_hash);
+
+        if ($this->session_id === false) {
+            $this->session_id = $this->exchange_hash;
+        }
+
+        switch ($server_host_key_algorithm) {
+            case 'rsa-sha2-256':
+            case 'rsa-sha2-512':
+            //case 'ssh-rsa':
+                $expected_key_format = 'ssh-rsa';
+                break;
+            default:
+                $expected_key_format = $server_host_key_algorithm;
+        }
+        if ($public_key_format != $expected_key_format || $this->signature_format != $server_host_key_algorithm) {
+            switch (true) {
+                case $this->signature_format == $server_host_key_algorithm:
+                case $server_host_key_algorithm != 'rsa-sha2-256' && $server_host_key_algorithm != 'rsa-sha2-512':
+                case $this->signature_format != 'ssh-rsa':
+                    $this->disconnect_helper(NET_SSH2_DISCONNECT_HOST_KEY_NOT_VERIFIABLE);
+                    throw new \RuntimeException('Server Host Key Algorithm Mismatch');
+            }
+        }
+
+        $packet = pack('C', NET_SSH2_MSG_NEWKEYS);
+        $this->send_binary_packet($packet);
+
+        $response = $this->get_binary_packet();
+
+        if ($response === false) {
+            $this->disconnect_helper(NET_SSH2_DISCONNECT_CONNECTION_LOST);
+            throw new ConnectionClosedException('Connection closed by server');
+        }
+
+        list($type) = Strings::unpackSSH2('C', $response);
+        if ($type != NET_SSH2_MSG_NEWKEYS) {
+            $this->disconnect_helper(NET_SSH2_DISCONNECT_PROTOCOL_ERROR);
+            throw new \UnexpectedValueException('Expected SSH_MSG_NEWKEYS');
+        }
+
+        $keyBytes = pack('Na*', strlen($keyBytes), $keyBytes);
+
+        $this->encrypt = self::encryption_algorithm_to_crypt_instance($encrypt);
+        if ($this->encrypt) {
+            if (self::$crypto_engine) {
+                $this->encrypt->setPreferredEngine(self::$crypto_engine);
+            }
+            if ($this->encrypt->getBlockLengthInBytes()) {
+                $this->encrypt_block_size = $this->encrypt->getBlockLengthInBytes();
+            }
+            $this->encrypt->disablePadding();
+
+            if ($this->encrypt->usesIV()) {
+                $iv = $kexHash->hash($keyBytes . $this->exchange_hash . 'A' . $this->session_id);
+                while ($this->encrypt_block_size > strlen($iv)) {
+                    $iv.= $kexHash->hash($keyBytes . $this->exchange_hash . $iv);
+                }
+                $this->encrypt->setIV(substr($iv, 0, $this->encrypt_block_size));
+            }
+
+            switch ($encrypt) {
+                case 'aes128-gcm@openssh.com':
+                case 'aes256-gcm@openssh.com':
+                    $nonce = $kexHash->hash($keyBytes . $this->exchange_hash . 'A' . $this->session_id);
+                    $this->encrypt->fixed = substr($nonce, 0, 4);
+                    $this->encrypt->invocation_counter = substr($nonce, 4, 8);
+                case 'chacha20-poly1305@openssh.com':
+                    break;
+                default:
+                    $this->encrypt->enableContinuousBuffer();
+            }
+
+            $key = $kexHash->hash($keyBytes . $this->exchange_hash . 'C' . $this->session_id);
+            while ($encryptKeyLength > strlen($key)) {
+                $key.= $kexHash->hash($keyBytes . $this->exchange_hash . $key);
+            }
+            switch ($encrypt) {
+                case 'chacha20-poly1305@openssh.com':
+                    $encryptKeyLength = 32;
+                    $this->lengthEncrypt = self::encryption_algorithm_to_crypt_instance($encrypt);
+                    $this->lengthEncrypt->setKey(substr($key, 32, 32));
+            }
+            $this->encrypt->setKey(substr($key, 0, $encryptKeyLength));
+            $this->encrypt->name = $encrypt;
+        }
+
+        $this->decrypt = self::encryption_algorithm_to_crypt_instance($decrypt);
+        if ($this->decrypt) {
+            if (self::$crypto_engine) {
+                $this->decrypt->setPreferredEngine(self::$crypto_engine);
+            }
+            if ($this->decrypt->getBlockLengthInBytes()) {
+                $this->decrypt_block_size = $this->decrypt->getBlockLengthInBytes();
+            }
+            $this->decrypt->disablePadding();
+
+            if ($this->decrypt->usesIV()) {
+                $iv = $kexHash->hash($keyBytes . $this->exchange_hash . 'B' . $this->session_id);
+                while ($this->decrypt_block_size > strlen($iv)) {
+                    $iv.= $kexHash->hash($keyBytes . $this->exchange_hash . $iv);
+                }
+                $this->decrypt->setIV(substr($iv, 0, $this->decrypt_block_size));
+            }
+
+            switch ($decrypt) {
+                case 'aes128-gcm@openssh.com':
+                case 'aes256-gcm@openssh.com':
+                    // see https://tools.ietf.org/html/rfc5647#section-7.1
+                    $nonce = $kexHash->hash($keyBytes . $this->exchange_hash . 'B' . $this->session_id);
+                    $this->decrypt->fixed = substr($nonce, 0, 4);
+                    $this->decrypt->invocation_counter = substr($nonce, 4, 8);
+                case 'chacha20-poly1305@openssh.com':
+                    break;
+                default:
+                    $this->decrypt->enableContinuousBuffer();
+            }
+
+            $key = $kexHash->hash($keyBytes . $this->exchange_hash . 'D' . $this->session_id);
+            while ($decryptKeyLength > strlen($key)) {
+                $key.= $kexHash->hash($keyBytes . $this->exchange_hash . $key);
+            }
+            switch ($decrypt) {
+                case 'chacha20-poly1305@openssh.com':
+                    $decryptKeyLength = 32;
+                    $this->lengthDecrypt = self::encryption_algorithm_to_crypt_instance($decrypt);
+                    $this->lengthDecrypt->setKey(substr($key, 32, 32));
+            }
+            $this->decrypt->setKey(substr($key, 0, $decryptKeyLength));
+            $this->decrypt->name = $decrypt;
+        }
+
+        /* The "arcfour128" algorithm is the RC4 cipher, as described in
+           [SCHNEIER], using a 128-bit key.  The first 1536 bytes of keystream
+           generated by the cipher MUST be discarded, and the first byte of the
+           first encrypted packet MUST be encrypted using the 1537th byte of
+           keystream.
+
+           -- http://tools.ietf.org/html/rfc4345#section-4 */
+        if ($encrypt == 'arcfour128' || $encrypt == 'arcfour256') {
+            $this->encrypt->encrypt(str_repeat("\0", 1536));
+        }
+        if ($decrypt == 'arcfour128' || $decrypt == 'arcfour256') {
+            $this->decrypt->decrypt(str_repeat("\0", 1536));
+        }
+
+        if (!$this->encrypt->usesNonce()) {
+            list($this->hmac_create, $createKeyLength) = self::mac_algorithm_to_hash_instance($mac_algorithm_out);
+        } else {
+            $this->hmac_create = new \stdClass;
+            $this->hmac_create->name = $mac_algorithm_out;
+            //$mac_algorithm_out = 'none';
+            $createKeyLength = 0;
+        }
+
+        if ($this->hmac_create instanceof Hash) {
+            $key = $kexHash->hash($keyBytes . $this->exchange_hash . 'E' . $this->session_id);
+            while ($createKeyLength > strlen($key)) {
+                $key.= $kexHash->hash($keyBytes . $this->exchange_hash . $key);
+            }
+            $this->hmac_create->setKey(substr($key, 0, $createKeyLength));
+            $this->hmac_create->name = $mac_algorithm_out;
+            $this->hmac_create->etm = preg_match('#-etm@openssh\.com$#', $mac_algorithm_out);
+        }
+
+        if (!$this->decrypt->usesNonce()) {
+            list($this->hmac_check, $checkKeyLength) = self::mac_algorithm_to_hash_instance($mac_algorithm_in);
+            $this->hmac_size = $this->hmac_check->getLengthInBytes();
+        } else {
+            $this->hmac_check = new \stdClass;
+            $this->hmac_check->name = $mac_algorithm_in;
+            //$mac_algorithm_in = 'none';
+            $checkKeyLength = 0;
+            $this->hmac_size = 0;
+        }
+
+        if ($this->hmac_check instanceof Hash) {
+            $key = $kexHash->hash($keyBytes . $this->exchange_hash . 'F' . $this->session_id);
+            while ($checkKeyLength > strlen($key)) {
+                $key.= $kexHash->hash($keyBytes . $this->exchange_hash . $key);
+            }
+            $this->hmac_check->setKey(substr($key, 0, $checkKeyLength));
+            $this->hmac_check->name = $mac_algorithm_in;
+            $this->hmac_check->etm = preg_match('#-etm@openssh\.com$#', $mac_algorithm_in);
+        }
+
+        return true;
+    }
+
+    /**
+     * Maps an encryption algorithm name to the number of key bytes.
+     *
+     * @param string $algorithm Name of the encryption algorithm
+     * @return int|null Number of bytes as an integer or null for unknown
+     * @access private
+     */
+    private function encryption_algorithm_to_key_size($algorithm)
+    {
+        if ($this->bad_key_size_fix && self::bad_algorithm_candidate($algorithm)) {
+            return 16;
+        }
+
+        switch ($algorithm) {
+            case 'none':
+                return 0;
+            case 'aes128-gcm@openssh.com':
+            case 'aes128-cbc':
+            case 'aes128-ctr':
+            case 'arcfour':
+            case 'arcfour128':
+            case 'blowfish-cbc':
+            case 'blowfish-ctr':
+            case 'twofish128-cbc':
+            case 'twofish128-ctr':
+                return 16;
+            case '3des-cbc':
+            case '3des-ctr':
+            case 'aes192-cbc':
+            case 'aes192-ctr':
+            case 'twofish192-cbc':
+            case 'twofish192-ctr':
+                return 24;
+            case 'aes256-gcm@openssh.com':
+            case 'aes256-cbc':
+            case 'aes256-ctr':
+            case 'arcfour256':
+            case 'twofish-cbc':
+            case 'twofish256-cbc':
+            case 'twofish256-ctr':
+                return 32;
+            case 'chacha20-poly1305@openssh.com':
+                return 64;
+        }
+        return null;
+    }
+
+    /**
+     * Maps an encryption algorithm name to an instance of a subclass of
+     * \phpseclib3\Crypt\Common\SymmetricKey.
+     *
+     * @param string $algorithm Name of the encryption algorithm
+     * @return mixed Instance of \phpseclib3\Crypt\Common\SymmetricKey or null for unknown
+     * @access private
+     */
+    private static function encryption_algorithm_to_crypt_instance($algorithm)
+    {
+        switch ($algorithm) {
+            case '3des-cbc':
+                return new TripleDES('cbc');
+            case '3des-ctr':
+                return new TripleDES('ctr');
+            case 'aes256-cbc':
+            case 'aes192-cbc':
+            case 'aes128-cbc':
+                return new Rijndael('cbc');
+            case 'aes256-ctr':
+            case 'aes192-ctr':
+            case 'aes128-ctr':
+                return new Rijndael('ctr');
+            case 'blowfish-cbc':
+                return new Blowfish('cbc');
+            case 'blowfish-ctr':
+                return new Blowfish('ctr');
+            case 'twofish128-cbc':
+            case 'twofish192-cbc':
+            case 'twofish256-cbc':
+            case 'twofish-cbc':
+                return new Twofish('cbc');
+            case 'twofish128-ctr':
+            case 'twofish192-ctr':
+            case 'twofish256-ctr':
+                return new Twofish('ctr');
+            case 'arcfour':
+            case 'arcfour128':
+            case 'arcfour256':
+                return new RC4();
+            case 'aes128-gcm@openssh.com':
+            case 'aes256-gcm@openssh.com':
+                return new Rijndael('gcm');
+            case 'chacha20-poly1305@openssh.com':
+                return new ChaCha20();
+        }
+        return null;
+    }
+
+    /**
+     * Maps an encryption algorithm name to an instance of a subclass of
+     * \phpseclib3\Crypt\Hash.
+     *
+     * @param string $algorithm Name of the encryption algorithm
+     * @return mixed Instance of \phpseclib3\Crypt\Hash or null for unknown
+     * @access private
+     */
+    private static function mac_algorithm_to_hash_instance($algorithm)
+    {
+        switch ($algorithm) {
+            case 'umac-64@openssh.com':
+            case 'umac-64-etm@openssh.com':
+                return [new Hash('umac-64'), 16];
+            case 'umac-128@openssh.com':
+            case 'umac-128-etm@openssh.com':
+                return [new Hash('umac-128'), 16];
+            case 'hmac-sha2-512':
+            case 'hmac-sha2-512-etm@openssh.com':
+                return [new Hash('sha512'), 64];
+            case 'hmac-sha2-256':
+            case 'hmac-sha2-256-etm@openssh.com':
+                return [new Hash('sha256'), 32];
+            case 'hmac-sha1':
+            case 'hmac-sha1-etm@openssh.com':
+                return [new Hash('sha1'), 20];
+            case 'hmac-sha1-96':
+                return [new Hash('sha1-96'), 20];
+            case 'hmac-md5':
+                return [new Hash('md5'), 16];
+            case 'hmac-md5-96':
+                return [new Hash('md5-96'), 16];
+        }
+    }
+
+    /*
+     * Tests whether or not proposed algorithm has a potential for issues
+     *
+     * @link https://www.chiark.greenend.org.uk/~sgtatham/putty/wishlist/ssh2-aesctr-openssh.html
+     * @link https://bugzilla.mindrot.org/show_bug.cgi?id=1291
+     * @param string $algorithm Name of the encryption algorithm
+     * @return bool
+     * @access private
+     */
+    private static function bad_algorithm_candidate($algorithm)
+    {
+        switch ($algorithm) {
+            case 'arcfour256':
+            case 'aes192-ctr':
+            case 'aes256-ctr':
+                return true;
+        }
+
+        return false;
+    }
+
+    /**
+     * Login
+     *
+     * The $password parameter can be a plaintext password, a \phpseclib3\Crypt\RSA object or an array
+     *
+     * @param string $username
+     * @param string[] ...$args
+     * @return bool
+     * @see self::_login()
+     * @access public
+     */
+    public function login($username, ...$args)
+    {
+        $this->auth[] = func_get_args();
+
+        // try logging with 'none' as an authentication method first since that's what
+        // PuTTY does
+        if (substr($this->server_identifier, 0, 13) != 'SSH-2.0-CoreFTP') {
+            if ($this->sublogin($username)) {
+                return true;
+            }
+            if (!count($args)) {
+                return false;
+            }
+        }
+        return $this->sublogin($username, ...$args);
+    }
+
+    /**
+     * Login Helper
+     *
+     * @param string $username
+     * @param string[] ...$args
+     * @return bool
+     * @see self::_login_helper()
+     * @access private
+     */
+    protected function sublogin($username, ...$args)
+    {
+        if (!($this->bitmap & self::MASK_CONSTRUCTOR)) {
+            if (!$this->connect()) {
+                return false;
+            }
+        }
+
+        if (empty($args)) {
+            return $this->login_helper($username);
+        }
+
+        foreach ($args as $arg) {
+            if ($this->login_helper($username, $arg)) {
+                return true;
+            }
+        }
+        return false;
+    }
+
+    /**
+     * Login Helper
+     *
+     * {@internal It might be worthwhile, at some point, to protect against {@link http://tools.ietf.org/html/rfc4251#section-9.3.9 traffic analysis}
+     *           by sending dummy SSH_MSG_IGNORE messages.}
+     *
+     * @param string $username
+     * @param string $password
+     * @return bool
+     * @throws \UnexpectedValueException on receipt of unexpected packets
+     * @throws \RuntimeException on other errors
+     * @access private
+     */
+    private function login_helper($username, $password = null)
+    {
+        if (!($this->bitmap & self::MASK_CONNECTED)) {
+            return false;
+        }
+
+        if (!($this->bitmap & self::MASK_LOGIN_REQ)) {
+            $packet = Strings::packSSH2('Cs', NET_SSH2_MSG_SERVICE_REQUEST, 'ssh-userauth');
+            $this->send_binary_packet($packet);
+
+            $response = $this->get_binary_packet();
+            if ($response === false) {
+                if ($this->retry_connect) {
+                    $this->retry_connect = false;
+                    if (!$this->connect()) {
+                        return false;
+                    }
+                    return $this->login_helper($username, $password);
+                }
+                $this->disconnect_helper(NET_SSH2_DISCONNECT_CONNECTION_LOST);
+                throw new ConnectionClosedException('Connection closed by server');
+            }
+
+            list($type, $service) = Strings::unpackSSH2('Cs', $response);
+            if ($type != NET_SSH2_MSG_SERVICE_ACCEPT || $service != 'ssh-userauth') {
+                $this->disconnect_helper(NET_SSH2_DISCONNECT_PROTOCOL_ERROR);
+                throw new \UnexpectedValueException('Expected SSH_MSG_SERVICE_ACCEPT');
+            }
+            $this->bitmap |= self::MASK_LOGIN_REQ;
+        }
+
+        if (strlen($this->last_interactive_response)) {
+            return !is_string($password) && !is_array($password) ? false : $this->keyboard_interactive_process($password);
+        }
+
+        if ($password instanceof PrivateKey) {
+            return $this->privatekey_login($username, $password);
+        }
+
+        if ($password instanceof Agent) {
+            return $this->ssh_agent_login($username, $password);
+        }
+
+        if (is_array($password)) {
+            if ($this->keyboard_interactive_login($username, $password)) {
+                $this->bitmap |= self::MASK_LOGIN;
+                return true;
+            }
+            return false;
+        }
+
+        if (!isset($password)) {
+           $packet = Strings::packSSH2(
+               'Cs3',
+               NET_SSH2_MSG_USERAUTH_REQUEST,
+               $username,
+               'ssh-connection',
+               'none'
+            );
+
+            $this->send_binary_packet($packet);
+
+            $response = $this->get_binary_packet();
+            if ($response === false) {
+                $this->disconnect_helper(NET_SSH2_DISCONNECT_CONNECTION_LOST);
+                throw new ConnectionClosedException('Connection closed by server');
+            }
+
+            list($type) = Strings::unpackSSH2('C', $response);
+            switch ($type) {
+                case NET_SSH2_MSG_USERAUTH_SUCCESS:
+                    $this->bitmap |= self::MASK_LOGIN;
+                    return true;
+                //case NET_SSH2_MSG_USERAUTH_FAILURE:
+                default:
+                    return false;
+            }
+        }
+
+        if (!is_string($password)) {
+            throw new \UnexpectedValueException('$password needs to either be an instance of \phpseclib3\Crypt\Common\PrivateKey, \System\SSH\Agent, an array or a string');
+        }
+
+        $packet = Strings::packSSH2(
+            'Cs3bs',
+            NET_SSH2_MSG_USERAUTH_REQUEST,
+            $username,
+            'ssh-connection',
+            'password',
+            false,
+            $password
+        );
+
+        // remove the username and password from the logged packet
+        if (!defined('NET_SSH2_LOGGING')) {
+            $logged = null;
+        } else {
+            $logged = Strings::packSSH2(
+                'Cs3bs',
+                NET_SSH2_MSG_USERAUTH_REQUEST,
+                $username,
+                'ssh-connection',
+                'password',
+                false,
+                'password'
+            );
+        }
+
+        $this->send_binary_packet($packet, $logged);
+
+        $response = $this->get_binary_packet();
+        if ($response === false) {
+            $this->disconnect_helper(NET_SSH2_DISCONNECT_CONNECTION_LOST);
+            throw new ConnectionClosedException('Connection closed by server');
+        }
+
+        list($type) = Strings::unpackSSH2('C', $response);
+        switch ($type) {
+            case NET_SSH2_MSG_USERAUTH_PASSWD_CHANGEREQ: // in theory, the password can be changed
+                $this->updateLogHistory('UNKNOWN (60)', 'NET_SSH2_MSG_USERAUTH_PASSWD_CHANGEREQ');
+
+                list($message) = Strings::unpackSSH2('s', $response);
+                $this->errors[] = 'SSH_MSG_USERAUTH_PASSWD_CHANGEREQ: ' . $message;
+
+                return $this->disconnect_helper(NET_SSH2_DISCONNECT_AUTH_CANCELLED_BY_USER);
+            case NET_SSH2_MSG_USERAUTH_FAILURE:
+                // can we use keyboard-interactive authentication?  if not then either the login is bad or the server employees
+                // multi-factor authentication
+                list($auth_methods, $partial_success) = Strings::unpackSSH2('Lb', $response);
+                if (!$partial_success && in_array('keyboard-interactive', $auth_methods)) {
+                    if ($this->keyboard_interactive_login($username, $password)) {
+                        $this->bitmap |= self::MASK_LOGIN;
+                        return true;
+                    }
+                    return false;
+                }
+                return false;
+            case NET_SSH2_MSG_USERAUTH_SUCCESS:
+                $this->bitmap |= self::MASK_LOGIN;
+                return true;
+        }
+
+        return false;
+    }
+
+    /**
+     * Login via keyboard-interactive authentication
+     *
+     * See {@link http://tools.ietf.org/html/rfc4256 RFC4256} for details.  This is not a full-featured keyboard-interactive authenticator.
+     *
+     * @param string $username
+     * @param string $password
+     * @return bool
+     * @access private
+     */
+    private function keyboard_interactive_login($username, $password)
+    {
+        $packet = Strings::packSSH2(
+            'Cs5',
+            NET_SSH2_MSG_USERAUTH_REQUEST,
+            $username,
+            'ssh-connection',
+            'keyboard-interactive',
+            '', // language tag
+            '' // submethods
+        );
+        $this->send_binary_packet($packet);
+
+        return $this->keyboard_interactive_process($password);
+    }
+
+    /**
+     * Handle the keyboard-interactive requests / responses.
+     *
+     * @param mixed[] ...$responses
+     * @return bool
+     * @throws \RuntimeException on connection error
+     * @access private
+     */
+    private function keyboard_interactive_process(...$responses)
+    {
+        if (strlen($this->last_interactive_response)) {
+            $response = $this->last_interactive_response;
+        } else {
+            $orig = $response = $this->get_binary_packet();
+            if ($response === false) {
+                $this->disconnect_helper(NET_SSH2_DISCONNECT_CONNECTION_LOST);
+                throw new ConnectionClosedException('Connection closed by server');
+            }
+        }
+
+        list($type) = Strings::unpackSSH2('C', $response);
+        switch ($type) {
+            case NET_SSH2_MSG_USERAUTH_INFO_REQUEST:
+                list(
+                    , // name; may be empty
+                    , // instruction; may be empty
+                    , // language tag; may be empty
+                    $num_prompts
+                ) = Strings::unpackSSH2('s3N', $response);
+
+                for ($i = 0; $i < count($responses); $i++) {
+                    if (is_array($responses[$i])) {
+                        foreach ($responses[$i] as $key => $value) {
+                            $this->keyboard_requests_responses[$key] = $value;
+                        }
+                        unset($responses[$i]);
+                    }
+                }
+                $responses = array_values($responses);
+
+                if (isset($this->keyboard_requests_responses)) {
+                    for ($i = 0; $i < $num_prompts; $i++) {
+                        list(
+                            $prompt, // prompt - ie. "Password: "; must not be empty
+                            // echo
+                        ) = Strings::unpackSSH2('sC', $response);
+                        foreach ($this->keyboard_requests_responses as $key => $value) {
+                            if (substr($prompt, 0, strlen($key)) == $key) {
+                                $responses[] = $value;
+                                break;
+                            }
+                        }
+                    }
+                }
+
+                // see http://tools.ietf.org/html/rfc4256#section-3.2
+                if (strlen($this->last_interactive_response)) {
+                    $this->last_interactive_response = '';
+                } else {
+                    $this->updateLogHistory('UNKNOWN (60)', 'NET_SSH2_MSG_USERAUTH_INFO_REQUEST');
+                }
+
+                if (!count($responses) && $num_prompts) {
+                    $this->last_interactive_response = $orig;
+                    return false;
+                }
+
+                /*
+                   After obtaining the requested information from the user, the client
+                   MUST respond with an SSH_MSG_USERAUTH_INFO_RESPONSE message.
+                */
+                // see http://tools.ietf.org/html/rfc4256#section-3.4
+                $packet = $logged = pack('CN', NET_SSH2_MSG_USERAUTH_INFO_RESPONSE, count($responses));
+                for ($i = 0; $i < count($responses); $i++) {
+                    $packet.= Strings::packSSH2('s', $responses[$i]);
+                    $logged.= Strings::packSSH2('s', 'dummy-answer');
+                }
+
+                $this->send_binary_packet($packet, $logged);
+
+                $this->updateLogHistory('UNKNOWN (61)', 'NET_SSH2_MSG_USERAUTH_INFO_RESPONSE');
+
+                /*
+                   After receiving the response, the server MUST send either an
+                   SSH_MSG_USERAUTH_SUCCESS, SSH_MSG_USERAUTH_FAILURE, or another
+                   SSH_MSG_USERAUTH_INFO_REQUEST message.
+                */
+                // maybe phpseclib should force close the connection after x request / responses?  unless something like that is done
+                // there could be an infinite loop of request / responses.
+                return $this->keyboard_interactive_process();
+            case NET_SSH2_MSG_USERAUTH_SUCCESS:
+                return true;
+            case NET_SSH2_MSG_USERAUTH_FAILURE:
+                return false;
+        }
+
+        return false;
+    }
+
+    /**
+     * Login with an ssh-agent provided key
+     *
+     * @param string $username
+     * @param \phpseclib3\System\SSH\Agent $agent
+     * @return bool
+     * @access private
+     */
+    private function ssh_agent_login($username, Agent $agent)
+    {
+        $this->agent = $agent;
+        $keys = $agent->requestIdentities();
+        foreach ($keys as $key) {
+            if ($this->privatekey_login($username, $key)) {
+                return true;
+            }
+        }
+
+        return false;
+    }
+
+    /**
+     * Login with an RSA private key
+     *
+     * {@internal It might be worthwhile, at some point, to protect against {@link http://tools.ietf.org/html/rfc4251#section-9.3.9 traffic analysis}
+     *           by sending dummy SSH_MSG_IGNORE messages.}
+     *
+     * @param string $username
+     * @param \phpseclib3\Crypt\Common\PrivateKey $privatekey
+     * @return bool
+     * @throws \RuntimeException on connection error
+     * @access private
+     */
+    private function privatekey_login($username, PrivateKey $privatekey)
+    {
+        $publickey = $privatekey->getPublicKey();
+
+        if ($publickey instanceof RSA) {
+            $privatekey = $privatekey->withPadding(RSA::SIGNATURE_PKCS1);
+            $algos = ['rsa-sha2-256', 'rsa-sha2-512', 'ssh-rsa'];
+            if (isset($this->preferred['hostkey'])) {
+                $algos = array_intersect($this->preferred['hostkey'] , $algos);
+            }
+            $algo = self::array_intersect_first($algos, $this->server_host_key_algorithms);
+            switch ($algo) {
+                case 'rsa-sha2-512':
+                    $hash = 'sha512';
+                    $signatureType = 'rsa-sha2-512';
+                    break;
+                case 'rsa-sha2-256':
+                    $hash = 'sha256';
+                    $signatureType = 'rsa-sha2-256';
+                    break;
+                //case 'ssh-rsa':
+                default:
+                    $hash = 'sha1';
+                    $signatureType = 'ssh-rsa';
+            }
+        } else if ($publickey instanceof EC) {
+            $privatekey = $privatekey->withSignatureFormat('SSH2');
+            $curveName = $privatekey->getCurve();
+            switch ($curveName) {
+                case 'Ed25519':
+                    $hash = 'sha512';
+                    $signatureType = 'ssh-ed25519';
+                    break;
+                case 'secp256r1': // nistp256
+                    $hash = 'sha256';
+                    $signatureType = 'ecdsa-sha2-nistp256';
+                    break;
+                case 'secp384r1': // nistp384
+                    $hash = 'sha384';
+                    $signatureType = 'ecdsa-sha2-nistp384';
+                    break;
+                case 'secp521r1': // nistp521
+                    $hash = 'sha512';
+                    $signatureType = 'ecdsa-sha2-nistp521';
+                    break;
+                default:
+                    if (is_array($curveName)) {
+                        throw new UnsupportedCurveException('Specified Curves are not supported by SSH2');
+                    }
+                    throw new UnsupportedCurveException('Named Curve of ' . $curveName . ' is not supported by phpseclib3\'s SSH2 implementation');
+            }
+        } else if ($publickey instanceof DSA) {
+            $privatekey = $privatekey->withSignatureFormat('SSH2');
+            $hash = 'sha1';
+            $signatureType = 'ssh-dss';
+        } else {
+            throw new UnsupportedAlgorithmException('Please use either an RSA key, an EC one or a DSA key');
+        }
+
+        $publickeyStr = $publickey->toString('OpenSSH', ['binary' => true]);
+
+        $part1 = Strings::packSSH2(
+            'Csss',
+            NET_SSH2_MSG_USERAUTH_REQUEST,
+            $username,
+            'ssh-connection',
+            'publickey'
+        );
+        $part2 = Strings::packSSH2('ss', $signatureType, $publickeyStr);
+
+        $packet = $part1 . chr(0) . $part2;
+        $this->send_binary_packet($packet);
+
+        $response = $this->get_binary_packet();
+        if ($response === false) {
+            $this->disconnect_helper(NET_SSH2_DISCONNECT_CONNECTION_LOST);
+            throw new ConnectionClosedException('Connection closed by server');
+        }
+
+        list($type) = Strings::unpackSSH2('C', $response);
+        switch ($type) {
+            case NET_SSH2_MSG_USERAUTH_FAILURE:
+                list($message) = Strings::unpackSSH2('s', $response);
+                $this->errors[] = 'SSH_MSG_USERAUTH_FAILURE: ' . $message;
+                return false;
+            case NET_SSH2_MSG_USERAUTH_PK_OK:
+                // we'll just take it on faith that the public key blob and the public key algorithm name are as
+                // they should be
+                $this->updateLogHistory('UNKNOWN (60)', 'NET_SSH2_MSG_USERAUTH_PK_OK');
+                break;
+            case NET_SSH2_MSG_USERAUTH_SUCCESS:
+                $this->bitmap |= self::MASK_LOGIN;
+                return true;
+            default:
+                $this->disconnect_helper(NET_SSH2_DISCONNECT_BY_APPLICATION);
+                throw new ConnectionClosedException('Unexpected response to publickey authentication pt 1');
+        }
+
+        $packet = $part1 . chr(1) . $part2;
+        $privatekey = $privatekey->withHash($hash);
+        $signature = $privatekey->sign(Strings::packSSH2('s', $this->session_id) . $packet);
+        if ($publickey instanceof RSA) {
+            $signature = Strings::packSSH2('ss', $signatureType, $signature);
+        }
+        $packet.= Strings::packSSH2('s', $signature);
+
+        $this->send_binary_packet($packet);
+
+        $response = $this->get_binary_packet();
+        if ($response === false) {
+            $this->disconnect_helper(NET_SSH2_DISCONNECT_CONNECTION_LOST);
+            throw new ConnectionClosedException('Connection closed by server');
+        }
+
+        list($type) = Strings::unpackSSH2('C', $response);
+        switch ($type) {
+            case NET_SSH2_MSG_USERAUTH_FAILURE:
+                // either the login is bad or the server employs multi-factor authentication
+                return false;
+            case NET_SSH2_MSG_USERAUTH_SUCCESS:
+                $this->bitmap |= self::MASK_LOGIN;
+                return true;
+        }
+
+        $this->disconnect_helper(NET_SSH2_DISCONNECT_BY_APPLICATION);
+        throw new ConnectionClosedException('Unexpected response to publickey authentication pt 2');
+    }
+
+    /**
+     * Set Timeout
+     *
+     * $ssh->exec('ping 127.0.0.1'); on a Linux host will never return and will run indefinitely.  setTimeout() makes it so it'll timeout.
+     * Setting $timeout to false or 0 will mean there is no timeout.
+     *
+     * @param mixed $timeout
+     * @access public
+     */
+    public function setTimeout($timeout)
+    {
+        $this->timeout = $this->curTimeout = $timeout;
+    }
+
+    /**
+     * Set Keep Alive
+     *
+     * Sends an SSH2_MSG_IGNORE message every x seconds, if x is a positive non-zero number.
+     *
+     * @param int $interval
+     * @access public
+     */
+    function setKeepAlive($interval)
+    {
+        $this->keepAlive = $interval;
+    }
+
+    /**
+     * Get the output from stdError
+     *
+     * @access public
+     */
+    public function getStdError()
+    {
+        return $this->stdErrorLog;
+    }
+
+    /**
+     * Execute Command
+     *
+     * If $callback is set to false then \phpseclib3\Net\SSH2::get_channel_packet(self::CHANNEL_EXEC) will need to be called manually.
+     * In all likelihood, this is not a feature you want to be taking advantage of.
+     *
+     * @param string $command
+     * @param Callback $callback
+     * @return string
+     * @throws \RuntimeException on connection error
+     * @access public
+     */
+    public function exec($command, $callback = null)
+    {
+        $this->curTimeout = $this->timeout;
+        $this->is_timeout = false;
+        $this->stdErrorLog = '';
+
+        if (!$this->isAuthenticated()) {
+            return false;
+        }
+
+        if ($this->in_request_pty_exec) {
+            throw new \RuntimeException('If you want to run multiple exec()\'s you will need to disable (and re-enable if appropriate) a PTY for each one.');
+        }
+
+        // RFC4254 defines the (client) window size as "bytes the other party can send before it must wait for the window to
+        // be adjusted".  0x7FFFFFFF is, at 2GB, the max size.  technically, it should probably be decremented, but,
+        // honestly, if you're transferring more than 2GB, you probably shouldn't be using phpseclib, anyway.
+        // see http://tools.ietf.org/html/rfc4254#section-5.2 for more info
+        $this->window_size_server_to_client[self::CHANNEL_EXEC] = $this->window_size;
+        // 0x8000 is the maximum max packet size, per http://tools.ietf.org/html/rfc4253#section-6.1, although since PuTTy
+        // uses 0x4000, that's what will be used here, as well.
+        $packet_size = 0x4000;
+
+        $packet = Strings::packSSH2(
+            'CsN3',
+            NET_SSH2_MSG_CHANNEL_OPEN,
+            'session',
+            self::CHANNEL_EXEC,
+            $this->window_size_server_to_client[self::CHANNEL_EXEC],
+            $packet_size
+        );
+        $this->send_binary_packet($packet);
+
+        $this->channel_status[self::CHANNEL_EXEC] = NET_SSH2_MSG_CHANNEL_OPEN;
+
+        $response = $this->get_channel_packet(self::CHANNEL_EXEC);
+        if ($response === false) {
+            return false;
+        }
+
+        if ($this->request_pty === true) {
+            $terminal_modes = pack('C', NET_SSH2_TTY_OP_END);
+            $packet = Strings::packSSH2(
+                'CNsCsN4s',
+                NET_SSH2_MSG_CHANNEL_REQUEST,
+                $this->server_channels[self::CHANNEL_EXEC],
+                'pty-req',
+                1,
+                'vt100',
+                $this->windowColumns,
+                $this->windowRows,
+                0,
+                0,
+                $terminal_modes
+            );
+
+            $this->send_binary_packet($packet);
+
+            $response = $this->get_binary_packet();
+            if ($response === false) {
+                $this->disconnect_helper(NET_SSH2_DISCONNECT_CONNECTION_LOST);
+                throw new ConnectionClosedException('Connection closed by server');
+            }
+
+            list($type) = Strings::unpackSSH2('C', $response);
+            switch ($type) {
+                case NET_SSH2_MSG_CHANNEL_SUCCESS:
+                    break;
+                case NET_SSH2_MSG_CHANNEL_FAILURE:
+                default:
+                    $this->disconnect_helper(NET_SSH2_DISCONNECT_BY_APPLICATION);
+                    throw new \RuntimeException('Unable to request pseudo-terminal');
+            }
+            $this->in_request_pty_exec = true;
+        }
+
+        // sending a pty-req SSH_MSG_CHANNEL_REQUEST message is unnecessary and, in fact, in most cases, slows things
+        // down.  the one place where it might be desirable is if you're doing something like \phpseclib3\Net\SSH2::exec('ping localhost &').
+        // with a pty-req SSH_MSG_CHANNEL_REQUEST, exec() will return immediately and the ping process will then
+        // then immediately terminate.  without such a request exec() will loop indefinitely.  the ping process won't end but
+        // neither will your script.
+
+        // although, in theory, the size of SSH_MSG_CHANNEL_REQUEST could exceed the maximum packet size established by
+        // SSH_MSG_CHANNEL_OPEN_CONFIRMATION, RFC4254#section-5.1 states that the "maximum packet size" refers to the
+        // "maximum size of an individual data packet". ie. SSH_MSG_CHANNEL_DATA.  RFC4254#section-5.2 corroborates.
+        $packet = Strings::packSSH2(
+            'CNsCs',
+            NET_SSH2_MSG_CHANNEL_REQUEST,
+            $this->server_channels[self::CHANNEL_EXEC],
+            'exec',
+            1,
+            $command
+        );
+        $this->send_binary_packet($packet);
+
+        $this->channel_status[self::CHANNEL_EXEC] = NET_SSH2_MSG_CHANNEL_REQUEST;
+
+        $response = $this->get_channel_packet(self::CHANNEL_EXEC);
+        if ($response === false) {
+            return false;
+        }
+
+        $this->channel_status[self::CHANNEL_EXEC] = NET_SSH2_MSG_CHANNEL_DATA;
+
+        if ($callback === false || $this->in_request_pty_exec) {
+            return true;
+        }
+
+        $output = '';
+        while (true) {
+            $temp = $this->get_channel_packet(self::CHANNEL_EXEC);
+            switch (true) {
+                case $temp === true:
+                    return is_callable($callback) ? true : $output;
+                case $temp === false:
+                    return false;
+                default:
+                    if (is_callable($callback)) {
+                        if ($callback($temp) === true) {
+                            $this->close_channel(self::CHANNEL_EXEC);
+                            return true;
+                        }
+                    } else {
+                        $output.= $temp;
+                    }
+            }
+        }
+    }
+
+    /**
+     * Creates an interactive shell
+     *
+     * @see self::read()
+     * @see self::write()
+     * @return bool
+     * @throws \UnexpectedValueException on receipt of unexpected packets
+     * @throws \RuntimeException on other errors
+     * @access private
+     */
+    private function initShell()
+    {
+        if ($this->in_request_pty_exec === true) {
+            return true;
+        }
+
+        $this->window_size_server_to_client[self::CHANNEL_SHELL] = $this->window_size;
+        $packet_size = 0x4000;
+
+        $packet = Strings::packSSH2(
+            'CsN3',
+            NET_SSH2_MSG_CHANNEL_OPEN,
+            'session',
+            self::CHANNEL_SHELL,
+            $this->window_size_server_to_client[self::CHANNEL_SHELL],
+            $packet_size
+        );
+
+        $this->send_binary_packet($packet);
+
+        $this->channel_status[self::CHANNEL_SHELL] = NET_SSH2_MSG_CHANNEL_OPEN;
+
+        $response = $this->get_channel_packet(self::CHANNEL_SHELL);
+        if ($response === false) {
+            return false;
+        }
+
+        $terminal_modes = pack('C', NET_SSH2_TTY_OP_END);
+        $packet = Strings::packSSH2(
+            'CNsCsN4s',
+            NET_SSH2_MSG_CHANNEL_REQUEST,
+            $this->server_channels[self::CHANNEL_SHELL],
+            'pty-req',
+            1,
+            'vt100',
+            $this->windowColumns,
+            $this->windowRows,
+            0,
+            0,
+            $terminal_modes
+        );
+
+        $this->send_binary_packet($packet);
+
+        $response = $this->get_binary_packet();
+        if ($response === false) {
+            $this->disconnect_helper(NET_SSH2_DISCONNECT_CONNECTION_LOST);
+            throw new ConnectionClosedException('Connection closed by server');
+        }
+
+        list($type) = Strings::unpackSSH2('C', $response);
+
+        switch ($type) {
+            case NET_SSH2_MSG_CHANNEL_SUCCESS:
+            // if a pty can't be opened maybe commands can still be executed
+            case NET_SSH2_MSG_CHANNEL_FAILURE:
+                break;
+            default:
+                $this->disconnect_helper(NET_SSH2_DISCONNECT_BY_APPLICATION);
+                throw new \UnexpectedValueException('Unable to request pseudo-terminal');
+        }
+
+        $packet = Strings::packSSH2(
+            'CNsb',
+            NET_SSH2_MSG_CHANNEL_REQUEST,
+            $this->server_channels[self::CHANNEL_SHELL],
+            'shell',
+            true // want reply
+        );
+        $this->send_binary_packet($packet);
+
+        $this->channel_status[self::CHANNEL_SHELL] = NET_SSH2_MSG_CHANNEL_REQUEST;
+
+        $response = $this->get_channel_packet(self::CHANNEL_SHELL);
+        if ($response === false) {
+            return false;
+        }
+
+        $this->channel_status[self::CHANNEL_SHELL] = NET_SSH2_MSG_CHANNEL_DATA;
+
+        $this->bitmap |= self::MASK_SHELL;
+
+        return true;
+    }
+
+    /**
+     * Return the channel to be used with read() / write()
+     *
+     * @see self::read()
+     * @see self::write()
+     * @return int
+     * @access public
+     */
+    private function get_interactive_channel()
+    {
+        switch (true) {
+            case $this->in_subsystem:
+                return self::CHANNEL_SUBSYSTEM;
+            case $this->in_request_pty_exec:
+                return self::CHANNEL_EXEC;
+            default:
+                return self::CHANNEL_SHELL;
+        }
+    }
+
+    /**
+     * Return an available open channel
+     *
+     * @return int
+     * @access public
+     */
+    private function get_open_channel()
+    {
+        $channel = self::CHANNEL_EXEC;
+        do {
+            if (isset($this->channel_status[$channel]) && $this->channel_status[$channel] == NET_SSH2_MSG_CHANNEL_OPEN) {
+                return $channel;
+            }
+        } while ($channel++ < self::CHANNEL_SUBSYSTEM);
+
+        return false;
+    }
+
+    /**
+     * Request agent forwarding of remote server
+     *
+     * @return bool
+     * @access public
+     */
+    public function requestAgentForwarding()
+    {
+        $request_channel = $this->get_open_channel();
+        if ($request_channel === false) {
+            return false;
+        }
+
+        $packet = Strings::packSSH2(
+            'CNsC',
+            NET_SSH2_MSG_CHANNEL_REQUEST,
+            $this->server_channels[$request_channel],
+            'auth-agent-req@openssh.com',
+            1
+        );
+
+        $this->channel_status[$request_channel] = NET_SSH2_MSG_CHANNEL_REQUEST;
+
+        $this->send_binary_packet($packet);
+
+        $response = $this->get_channel_packet($request_channel);
+        if ($response === false) {
+            return false;
+        }
+
+        $this->channel_status[$request_channel] = NET_SSH2_MSG_CHANNEL_OPEN;
+
+        return true;
+    }
+
+    /**
+     * Returns the output of an interactive shell
+     *
+     * Returns when there's a match for $expect, which can take the form of a string literal or,
+     * if $mode == self::READ_REGEX, a regular expression.
+     *
+     * @see self::write()
+     * @param string $expect
+     * @param int $mode
+     * @return string|bool|null
+     * @throws \RuntimeException on connection error
+     * @access public
+     */
+    public function read($expect = '', $mode = self::READ_SIMPLE)
+    {
+        $this->curTimeout = $this->timeout;
+        $this->is_timeout = false;
+
+        if (!$this->isAuthenticated()) {
+            throw new InsufficientSetupException('Operation disallowed prior to login()');
+        }
+
+        if (!($this->bitmap & self::MASK_SHELL) && !$this->initShell()) {
+            throw new \RuntimeException('Unable to initiate an interactive shell session');
+        }
+
+        $channel = $this->get_interactive_channel();
+
+        if ($mode == self::READ_NEXT) {
+            return $this->get_channel_packet($channel);
+        }
+
+        $match = $expect;
+        while (true) {
+            if ($mode == self::READ_REGEX) {
+                preg_match($expect, substr($this->interactiveBuffer, -1024), $matches);
+                $match = isset($matches[0]) ? $matches[0] : '';
+            }
+            $pos = strlen($match) ? strpos($this->interactiveBuffer, $match) : false;
+            if ($pos !== false) {
+                return Strings::shift($this->interactiveBuffer, $pos + strlen($match));
+            }
+            $response = $this->get_channel_packet($channel);
+            if (is_bool($response)) {
+                $this->in_request_pty_exec = false;
+                return $response ? Strings::shift($this->interactiveBuffer, strlen($this->interactiveBuffer)) : false;
+            }
+
+            $this->interactiveBuffer.= $response;
+        }
+    }
+
+    /**
+     * Inputs a command into an interactive shell.
+     *
+     * @see self::read()
+     * @param string $cmd
+     * @return bool
+     * @throws \RuntimeException on connection error
+     * @access public
+     */
+    public function write($cmd)
+    {
+        if (!$this->isAuthenticated()) {
+            throw new InsufficientSetupException('Operation disallowed prior to login()');
+        }
+
+        if (!($this->bitmap & self::MASK_SHELL) && !$this->initShell()) {
+            throw new \RuntimeException('Unable to initiate an interactive shell session');
+        }
+
+        return $this->send_channel_packet($this->get_interactive_channel(), $cmd);
+    }
+
+    /**
+     * Start a subsystem.
+     *
+     * Right now only one subsystem at a time is supported. To support multiple subsystem's stopSubsystem() could accept
+     * a string that contained the name of the subsystem, but at that point, only one subsystem of each type could be opened.
+     * To support multiple subsystem's of the same name maybe it'd be best if startSubsystem() generated a new channel id and
+     * returns that and then that that was passed into stopSubsystem() but that'll be saved for a future date and implemented
+     * if there's sufficient demand for such a feature.
+     *
+     * @see self::stopSubsystem()
+     * @param string $subsystem
+     * @return bool
+     * @access public
+     */
+    public function startSubsystem($subsystem)
+    {
+        $this->window_size_server_to_client[self::CHANNEL_SUBSYSTEM] = $this->window_size;
+
+        $packet = Strings::packSSH2(
+            'CsN3',
+            NET_SSH2_MSG_CHANNEL_OPEN,
+            'session',
+            self::CHANNEL_SUBSYSTEM,
+            $this->window_size,
+            0x4000
+        );
+
+        $this->send_binary_packet($packet);
+
+        $this->channel_status[self::CHANNEL_SUBSYSTEM] = NET_SSH2_MSG_CHANNEL_OPEN;
+
+        $response = $this->get_channel_packet(self::CHANNEL_SUBSYSTEM);
+        if ($response === false) {
+            return false;
+        }
+
+        $packet = Strings::packSSH2(
+            'CNsCs',
+            NET_SSH2_MSG_CHANNEL_REQUEST,
+            $this->server_channels[self::CHANNEL_SUBSYSTEM],
+            'subsystem',
+            1,
+            $subsystem
+        );
+        $this->send_binary_packet($packet);
+
+        $this->channel_status[self::CHANNEL_SUBSYSTEM] = NET_SSH2_MSG_CHANNEL_REQUEST;
+
+        $response = $this->get_channel_packet(self::CHANNEL_SUBSYSTEM);
+        if ($response === false) {
+            return false;
+        }
+
+        $this->channel_status[self::CHANNEL_SUBSYSTEM] = NET_SSH2_MSG_CHANNEL_DATA;
+
+        $this->bitmap |= self::MASK_SHELL;
+        $this->in_subsystem = true;
+
+        return true;
+    }
+
+    /**
+     * Stops a subsystem.
+     *
+     * @see self::startSubsystem()
+     * @return bool
+     * @access public
+     */
+    public function stopSubsystem()
+    {
+        $this->in_subsystem = false;
+        $this->close_channel(self::CHANNEL_SUBSYSTEM);
+        return true;
+    }
+
+    /**
+     * Closes a channel
+     *
+     * If read() timed out you might want to just close the channel and have it auto-restart on the next read() call
+     *
+     * @access public
+     */
+    public function reset()
+    {
+        $this->close_channel($this->get_interactive_channel());
+    }
+
+    /**
+     * Is timeout?
+     *
+     * Did exec() or read() return because they timed out or because they encountered the end?
+     *
+     * @access public
+     */
+    public function isTimeout()
+    {
+        return $this->is_timeout;
+    }
+
+    /**
+     * Disconnect
+     *
+     * @access public
+     */
+    public function disconnect()
+    {
+        $this->disconnect_helper(NET_SSH2_DISCONNECT_BY_APPLICATION);
+        if (isset($this->realtime_log_file) && is_resource($this->realtime_log_file)) {
+            fclose($this->realtime_log_file);
+        }
+        unset(self::$connections[$this->getResourceId()]);
+    }
+
+    /**
+     * Destructor.
+     *
+     * Will be called, automatically, if you're supporting just PHP5.  If you're supporting PHP4, you'll need to call
+     * disconnect().
+     *
+     * @access public
+     */
+    public function __destruct()
+    {
+        $this->disconnect();
+    }
+
+    /**
+     * Is the connection still active?
+     *
+     * @return bool
+     * @access public
+     */
+    public function isConnected()
+    {
+        return (bool) ($this->bitmap & self::MASK_CONNECTED);
+    }
+
+    /**
+     * Have you successfully been logged in?
+     *
+     * @return bool
+     * @access public
+     */
+    public function isAuthenticated()
+    {
+        return (bool) ($this->bitmap & self::MASK_LOGIN);
+    }
+
+    /**
+     * Pings a server connection, or tries to reconnect if the connection has gone down
+     *
+     * Inspired by http://php.net/manual/en/mysqli.ping.php
+     *
+     * @return bool
+     */
+    public function ping()
+    {
+        if (!$this->isAuthenticated()) {
+            if (!empty($this->auth)) {
+                return $this->reconnect();
+            }
+            return false;
+        }
+
+        $this->window_size_server_to_client[self::CHANNEL_KEEP_ALIVE] = $this->window_size;
+        $packet_size = 0x4000;
+        $packet = Strings::packSSH2(
+            'CsN3',
+            NET_SSH2_MSG_CHANNEL_OPEN,
+            'session',
+            self::CHANNEL_KEEP_ALIVE,
+            $this->window_size_server_to_client[self::CHANNEL_KEEP_ALIVE],
+            $packet_size
+        );
+
+        try {
+            $this->send_binary_packet($packet);
+
+            $this->channel_status[self::CHANNEL_KEEP_ALIVE] = NET_SSH2_MSG_CHANNEL_OPEN;
+
+            $response = $this->get_channel_packet(self::CHANNEL_KEEP_ALIVE);
+        } catch (\RuntimeException $e) {
+            return $this->reconnect();
+        }
+
+        $this->close_channel(NET_SSH2_CHANNEL_KEEP_ALIVE);
+        return true;
+    }
+
+    /**
+     * In situ reconnect method
+     *
+     * @return boolean
+     */
+    private function reconnect()
+    {
+        $this->reset_connection(NET_SSH2_DISCONNECT_CONNECTION_LOST);
+        $this->retry_connect = true;
+        if (!$this->connect()) {
+            return false;
+        }
+        foreach ($this->auth as $auth) {
+            $result = $this->login(...$auth);
+        }
+        return $result;
+    }
+
+    /**
+     * Resets a connection for re-use
+     *
+     * @param int $reason
+     * @access private
+     */
+    protected function reset_connection($reason)
+    {
+        $this->disconnect_helper($reason);
+        $this->decrypt = $this->encrypt = false;
+        $this->decrypt_block_size = $this->encrypt_block_size = 8;
+        $this->hmac_check = $this->hmac_create = false;
+        $this->hmac_size = false;
+        $this->session_id = false;
+        $this->retry_connect = true;
+        $this->get_seq_no = $this->send_seq_no = 0;
+    }
+
+    /**
+     * Gets Binary Packets
+     *
+     * See '6. Binary Packet Protocol' of rfc4253 for more info.
+     *
+     * @see self::_send_binary_packet()
+     * @param bool $skip_channel_filter
+     * @return string
+     * @access private
+     */
+    private function get_binary_packet($skip_channel_filter = false)
+    {
+        if ($skip_channel_filter) {
+            $read = [$this->fsock];
+            $write = $except = null;
+
+            if ($this->curTimeout <= 0) {
+                if ($this->keepAlive <= 0) {
+                    @stream_select($read, $write, $except, null);
+                } else {
+                    if (!@stream_select($read, $write, $except, $this->keepAlive)) {
+                        $this->send_binary_packet(pack('CN', NET_SSH2_MSG_IGNORE, 0));
+                        return $this->get_binary_packet(true);
+                    }
+                }
+            } else {
+                if ($this->curTimeout < 0) {
+                    $this->is_timeout = true;
+                    return true;
+                }
+
+                $read = [$this->fsock];
+                $write = $except = null;
+
+                $start = microtime(true);
+
+                if ($this->keepAlive > 0 && $this->keepAlive < $this->curTimeout) {
+                    if (!@stream_select($read, $write, $except, $this->keepAlive)) {
+                        $this->send_binary_packet(pack('CN', NET_SSH2_MSG_IGNORE, 0));
+                        $elapsed = microtime(true) - $start;
+                        $this->curTimeout-= $elapsed;
+                        return $this->get_binary_packet(true);
+                    }
+                    $elapsed = microtime(true) - $start;
+                    $this->curTimeout-= $elapsed;
+                }
+
+                $sec = floor($this->curTimeout);
+                $usec = 1000000 * ($this->curTimeout - $sec);
+
+                // this can return a "stream_select(): unable to select [4]: Interrupted system call" error
+                if (!@stream_select($read, $write, $except, $sec, $usec)) {
+                    $this->is_timeout = true;
+                    return true;
+                }
+                $elapsed = microtime(true) - $start;
+                $this->curTimeout-= $elapsed;
+            }
+        }
+
+        if (!is_resource($this->fsock) || feof($this->fsock)) {
+            $this->bitmap = 0;
+            throw new ConnectionClosedException('Connection closed prematurely');
+        }
+
+        $start = microtime(true);
+        $raw = stream_get_contents($this->fsock, $this->decrypt_block_size);
+
+        if (!strlen($raw)) {
+            return '';
+        }
+
+        if ($this->decrypt) {
+            switch ($this->decrypt->name) {
+                case 'aes128-gcm@openssh.com':
+                case 'aes256-gcm@openssh.com':
+                    $this->decrypt->setNonce(
+                        $this->decrypt->fixed .
+                        $this->decrypt->invocation_counter
+                    );
+                    Strings::increment_str($this->decrypt->invocation_counter);
+                    $this->decrypt->setAAD($temp = Strings::shift($raw, 4));
+                    extract(unpack('Npacket_length', $temp));
+                    /**
+                     * @var integer $packet_length
+                     */
+
+                    $raw.= $this->read_remaining_bytes($packet_length - $this->decrypt_block_size + 4);
+                    $stop = microtime(true);
+                    $tag = stream_get_contents($this->fsock, $this->decrypt_block_size);
+                    $this->decrypt->setTag($tag);
+                    $raw = $this->decrypt->decrypt($raw);
+                    $raw = $temp . $raw;
+                    $remaining_length = 0;
+                    break;
+                case 'chacha20-poly1305@openssh.com':
+                    $nonce = pack('N2', 0, $this->get_seq_no);
+
+                    $this->lengthDecrypt->setNonce($nonce);
+                    $temp = $this->lengthDecrypt->decrypt($aad = Strings::shift($raw, 4));
+                    extract(unpack('Npacket_length', $temp));
+                    /**
+                     * @var integer $packet_length
+                     */
+
+                    $raw.= $this->read_remaining_bytes($packet_length - $this->decrypt_block_size + 4);
+                    $stop = microtime(true);
+                    $tag = stream_get_contents($this->fsock, 16);
+
+                    $this->decrypt->setNonce($nonce);
+                    $this->decrypt->setCounter(0);
+                    // this is the same approach that's implemented in Salsa20::createPoly1305Key()
+                    // but we don't want to use the same AEAD construction that RFC8439 describes
+                    // for ChaCha20-Poly1305 so we won't rely on it (see Salsa20::poly1305())
+                    $this->decrypt->setPoly1305Key(
+                        $this->decrypt->encrypt(str_repeat("\0", 32))
+                    );
+                    $this->decrypt->setAAD($aad);
+                    $this->decrypt->setCounter(1);
+                    $this->decrypt->setTag($tag);
+                    $raw = $this->decrypt->decrypt($raw);
+                    $raw = $temp . $raw;
+                    $remaining_length = 0;
+                    break;
+                default:
+                    if (!$this->hmac_check instanceof Hash || !$this->hmac_check->etm) {
+                        $raw = $this->decrypt->decrypt($raw);
+                        break;
+                    }
+                    extract(unpack('Npacket_length', $temp = Strings::shift($raw, 4)));
+                    /**
+                     * @var integer $packet_length
+                     */
+                    $raw.= $this->read_remaining_bytes($packet_length - $this->decrypt_block_size + 4);
+                    $stop = microtime(true);
+                    $encrypted = $temp . $raw;
+                    $raw = $temp . $this->decrypt->decrypt($raw);
+                    $remaining_length = 0;
+            }
+        }
+
+        if (strlen($raw) < 5) {
+            return false;
+        }
+        extract(unpack('Npacket_length/Cpadding_length', Strings::shift($raw, 5)));
+        /**
+         * @var integer $packet_length
+         * @var integer $padding_length
+         */
+
+        if (!isset($remaining_length)) {
+            $remaining_length = $packet_length + 4 - $this->decrypt_block_size;
+        }
+
+        $buffer = $this->read_remaining_bytes($remaining_length);
+
+        if (!isset($stop)) {
+            $stop = microtime(true);
+        }
+        if (strlen($buffer)) {
+            $raw.= $this->decrypt ? $this->decrypt->decrypt($buffer) : $buffer;
+        }
+
+        $payload = Strings::shift($raw, $packet_length - $padding_length - 1);
+        $padding = Strings::shift($raw, $padding_length); // should leave $raw empty
+
+        if ($this->hmac_check instanceof Hash) {
+            $hmac = stream_get_contents($this->fsock, $this->hmac_size);
+            if ($hmac === false || strlen($hmac) != $this->hmac_size) {
+                $this->disconnect_helper(NET_SSH2_DISCONNECT_MAC_ERROR);
+                throw new \RuntimeException('Error reading socket');
+            }
+
+            $reconstructed = !$this->hmac_check->etm ?
+                pack('NCa*', $packet_length, $padding_length, $payload . $padding) :
+                $encrypted;
+            if (($this->hmac_check->getHash() & "\xFF\xFF\xFF\xFF") == 'umac') {
+                $this->hmac_check->setNonce("\0\0\0\0" . pack('N', $this->get_seq_no));
+                if ($hmac != $this->hmac_check->hash($reconstructed)) {
+                    $this->disconnect_helper(NET_SSH2_DISCONNECT_MAC_ERROR);
+                    throw new \RuntimeException('Invalid UMAC');
+                }
+            } else {
+                if ($hmac != $this->hmac_check->hash(pack('Na*', $this->get_seq_no, $reconstructed))) {
+                    $this->disconnect_helper(NET_SSH2_DISCONNECT_MAC_ERROR);
+                    throw new \RuntimeException('Invalid HMAC');
+                }
+            }
+        }
+
+        //if ($this->decompress) {
+        //    $payload = gzinflate(substr($payload, 2));
+        //}
+
+        $this->get_seq_no++;
+
+        if (defined('NET_SSH2_LOGGING')) {
+            $current = microtime(true);
+            $message_number = isset($this->message_numbers[ord($payload[0])]) ? $this->message_numbers[ord($payload[0])] : 'UNKNOWN (' . ord($payload[0]) . ')';
+            $message_number = '<- ' . $message_number .
+                              ' (since last: ' . round($current - $this->last_packet, 4) . ', network: ' . round($stop - $start, 4) . 's)';
+            $this->append_log($message_number, $payload);
+            $this->last_packet = $current;
+        }
+
+        return $this->filter($payload, $skip_channel_filter);
+    }
+
+    /**
+     * Read Remaining Bytes
+     *
+     * @see self::get_binary_packet()
+     * @param int $remaining_length
+     * @return string
+     * @access private
+     */
+    private function read_remaining_bytes($remaining_length)
+    {
+        if (!$remaining_length) {
+            return '';
+        }
+
+        $adjustLength = false;
+        if ($this->decrypt) {
+            switch (true) {
+                case $this->decrypt->name == 'aes128-gcm@openssh.com':
+                case $this->decrypt->name == 'aes256-gcm@openssh.com':
+                case $this->decrypt->name == 'chacha20-poly1305@openssh.com':
+                case $this->hmac_check instanceof Hash && $this->hmac_check->etm:
+                    $remaining_length+= $this->decrypt_block_size - 4;
+                    $adjustLength = true;
+            }
+        }
+
+        // quoting <http://tools.ietf.org/html/rfc4253#section-6.1>,
+        // "implementations SHOULD check that the packet length is reasonable"
+        // PuTTY uses 0x9000 as the actual max packet size and so to shall we
+        // don't do this when GCM mode is used since GCM mode doesn't encrypt the length
+        if ($remaining_length < -$this->decrypt_block_size || $remaining_length > 0x9000 || $remaining_length % $this->decrypt_block_size != 0) {
+            if (!$this->bad_key_size_fix && self::bad_algorithm_candidate($this->decrypt ? $this->decrypt->name : '') && !($this->bitmap & SSH2::MASK_LOGIN)) {
+                $this->bad_key_size_fix = true;
+                $this->reset_connection(NET_SSH2_DISCONNECT_KEY_EXCHANGE_FAILED);
+                return false;
+            }
+            throw new \RuntimeException('Invalid size');
+        }
+
+        if ($adjustLength) {
+            $remaining_length-= $this->decrypt_block_size - 4;
+        }
+
+        $buffer = '';
+        while ($remaining_length > 0) {
+            $temp = stream_get_contents($this->fsock, $remaining_length);
+            if ($temp === false || feof($this->fsock)) {
+                $this->disconnect_helper(NET_SSH2_DISCONNECT_CONNECTION_LOST);
+                throw new \RuntimeException('Error reading from socket');
+            }
+            $buffer.= $temp;
+            $remaining_length-= strlen($temp);
+        }
+
+        return $buffer;
+    }
+
+    /**
+     * Filter Binary Packets
+     *
+     * Because some binary packets need to be ignored...
+     *
+     * @see self::_get_binary_packet()
+     * @param string $payload
+     * @param bool $skip_channel_filter
+     * @return string
+     * @access private
+     */
+    private function filter($payload, $skip_channel_filter)
+    {
+        switch (ord($payload[0])) {
+            case NET_SSH2_MSG_DISCONNECT:
+                Strings::shift($payload, 1);
+                list($reason_code, $message) = Strings::unpackSSH2('Ns', $payload);
+                $this->errors[] = 'SSH_MSG_DISCONNECT: ' . $this->disconnect_reasons[$reason_code] . "\r\n$message";
+                $this->bitmap = 0;
+                return false;
+            case NET_SSH2_MSG_IGNORE:
+                $payload = $this->get_binary_packet($skip_channel_filter);
+                break;
+            case NET_SSH2_MSG_DEBUG:
+                Strings::shift($payload, 2); // second byte is "always_display"
+                list($message) = Strings::unpackSSH2('s', $payload);
+                $this->errors[] = "SSH_MSG_DEBUG: $message";
+                $payload = $this->get_binary_packet($skip_channel_filter);
+                break;
+            case NET_SSH2_MSG_UNIMPLEMENTED:
+                return false;
+            case NET_SSH2_MSG_KEXINIT:
+                if ($this->session_id !== false) {
+                    if (!$this->key_exchange($payload)) {
+                        $this->bitmap = 0;
+                        return false;
+                    }
+                    $payload = $this->get_binary_packet($skip_channel_filter);
+                }
+        }
+
+        // see http://tools.ietf.org/html/rfc4252#section-5.4; only called when the encryption has been activated and when we haven't already logged in
+        if (($this->bitmap & self::MASK_CONNECTED) && !$this->isAuthenticated() && ord($payload[0]) == NET_SSH2_MSG_USERAUTH_BANNER) {
+            Strings::shift($payload, 1);
+            list($this->banner_message) = Strings::unpackSSH2('s', $payload);
+            $payload = $this->get_binary_packet();
+        }
+
+        // only called when we've already logged in
+        if (($this->bitmap & self::MASK_CONNECTED) && $this->isAuthenticated()) {
+            switch (ord($payload[0])) {
+                case NET_SSH2_MSG_CHANNEL_REQUEST:
+                    if (strlen($payload) == 31) {
+                        extract(unpack('cpacket_type/Nchannel/Nlength', $payload));
+                        if (substr($payload, 9, $length) == 'keepalive@openssh.com' && isset($this->server_channels[$channel])) {
+                            if (ord(substr($payload, 9 + $length))) { // want reply
+                                $this->send_binary_packet(pack('CN', NET_SSH2_MSG_CHANNEL_SUCCESS, $this->server_channels[$channel]));
+                            }
+                            $payload = $this->get_binary_packet($skip_channel_filter);
+                        }
+                    }
+                    break;
+                case NET_SSH2_MSG_CHANNEL_DATA:
+                case NET_SSH2_MSG_CHANNEL_EXTENDED_DATA:
+                case NET_SSH2_MSG_CHANNEL_CLOSE:
+                case NET_SSH2_MSG_CHANNEL_EOF:
+                    if (!$skip_channel_filter && !empty($this->server_channels)) {
+                        $this->binary_packet_buffer = $payload;
+                        $this->get_channel_packet(true);
+                        $payload = $this->get_binary_packet();
+                    }
+                    break;
+                case NET_SSH2_MSG_GLOBAL_REQUEST: // see http://tools.ietf.org/html/rfc4254#section-4
+                    Strings::shift($payload, 1);
+                    list($request_name) = Strings::unpackSSH2('s', $payload);
+                    $this->errors[] = "SSH_MSG_GLOBAL_REQUEST: $request_name";
+
+                    try {
+                        $this->send_binary_packet(pack('C', NET_SSH2_MSG_REQUEST_FAILURE));
+                    } catch (\RuntimeException $e) {
+                        return $this->disconnect_helper(NET_SSH2_DISCONNECT_BY_APPLICATION);
+                    }
+
+                    $payload = $this->get_binary_packet($skip_channel_filter);
+                    break;
+                case NET_SSH2_MSG_CHANNEL_OPEN: // see http://tools.ietf.org/html/rfc4254#section-5.1
+                    Strings::shift($payload, 1);
+                    list($data, $server_channel) = Strings::unpackSSH2('sN', $payload);
+                    switch ($data) {
+                        case 'auth-agent':
+                        case 'auth-agent@openssh.com':
+                            if (isset($this->agent)) {
+                                $new_channel = self::CHANNEL_AGENT_FORWARD;
+
+                                list(
+                                    $remote_window_size,
+                                    $remote_maximum_packet_size
+                                ) = Strings::unpackSSH2('NN', $payload);
+
+                                $this->packet_size_client_to_server[$new_channel] = $remote_window_size;
+                                $this->window_size_server_to_client[$new_channel] = $remote_maximum_packet_size;
+                                $this->window_size_client_to_server[$new_channel] = $this->window_size;
+
+                                $packet_size = 0x4000;
+
+                                $packet = pack(
+                                    'CN4',
+                                    NET_SSH2_MSG_CHANNEL_OPEN_CONFIRMATION,
+                                    $server_channel,
+                                    $new_channel,
+                                    $packet_size,
+                                    $packet_size
+                                );
+
+                                $this->server_channels[$new_channel] = $server_channel;
+                                $this->channel_status[$new_channel] = NET_SSH2_MSG_CHANNEL_OPEN_CONFIRMATION;
+                                $this->send_binary_packet($packet);
+                            }
+                            break;
+                        default:
+                            $packet = Strings::packSSH2(
+                                'CN2ss',
+                                NET_SSH2_MSG_CHANNEL_OPEN_FAILURE,
+                                $server_channel,
+                                NET_SSH2_OPEN_ADMINISTRATIVELY_PROHIBITED,
+                                '', // description
+                                '' // language tag
+                            );
+
+                            try {
+                                $this->send_binary_packet($packet);
+                            } catch (\RuntimeException $e) {
+                                return $this->disconnect_helper(NET_SSH2_DISCONNECT_BY_APPLICATION);
+                            }
+                    }
+
+                    $payload = $this->get_binary_packet($skip_channel_filter);
+                    break;
+                case NET_SSH2_MSG_CHANNEL_WINDOW_ADJUST:
+                    Strings::shift($payload, 1);
+                    list($channel, $window_size) = Strings::unpackSSH2('NN', $payload);
+
+                    $this->window_size_client_to_server[$channel]+= $window_size;
+
+                    $payload = ($this->bitmap & self::MASK_WINDOW_ADJUST) ? true : $this->get_binary_packet($skip_channel_filter);
+            }
+        }
+
+        return $payload;
+    }
+
+    /**
+     * Enable Quiet Mode
+     *
+     * Suppress stderr from output
+     *
+     * @access public
+     */
+    public function enableQuietMode()
+    {
+        $this->quiet_mode = true;
+    }
+
+    /**
+     * Disable Quiet Mode
+     *
+     * Show stderr in output
+     *
+     * @access public
+     */
+    public function disableQuietMode()
+    {
+        $this->quiet_mode = false;
+    }
+
+    /**
+     * Returns whether Quiet Mode is enabled or not
+     *
+     * @see self::enableQuietMode()
+     * @see self::disableQuietMode()
+     * @access public
+     * @return bool
+     */
+    public function isQuietModeEnabled()
+    {
+        return $this->quiet_mode;
+    }
+
+    /**
+     * Enable request-pty when using exec()
+     *
+     * @access public
+     */
+    public function enablePTY()
+    {
+        $this->request_pty = true;
+    }
+
+    /**
+     * Disable request-pty when using exec()
+     *
+     * @access public
+     */
+    public function disablePTY()
+    {
+        if ($this->in_request_pty_exec) {
+            $this->close_channel(self::CHANNEL_EXEC);
+            $this->in_request_pty_exec = false;
+        }
+        $this->request_pty = false;
+    }
+
+    /**
+     * Returns whether request-pty is enabled or not
+     *
+     * @see self::enablePTY()
+     * @see self::disablePTY()
+     * @access public
+     * @return bool
+     */
+    public function isPTYEnabled()
+    {
+        return $this->request_pty;
+    }
+
+    /**
+     * Gets channel data
+     *
+     * Returns the data as a string if it's available and false if not.
+     *
+     * @param int $client_channel
+     * @param bool $skip_extended
+     * @return mixed
+     * @throws \RuntimeException on connection error
+     * @access private
+     */
+    protected function get_channel_packet($client_channel, $skip_extended = false)
+    {
+        if (!empty($this->channel_buffers[$client_channel])) {
+            return array_shift($this->channel_buffers[$client_channel]);
+        }
+
+        while (true) {
+            if ($this->binary_packet_buffer !== false) {
+                $response = $this->binary_packet_buffer;
+                $this->binary_packet_buffer = false;
+            } else {
+                $response = $this->get_binary_packet(true);
+                if ($response === true && $this->is_timeout) {
+                    if ($client_channel == self::CHANNEL_EXEC && !$this->request_pty) {
+                        $this->close_channel($client_channel);
+                    }
+                    return true;
+                }
+                if ($response === false) {
+                    $this->disconnect_helper(NET_SSH2_DISCONNECT_CONNECTION_LOST);
+                    throw new ConnectionClosedException('Connection closed by server');
+                }
+            }
+
+            if ($client_channel == -1 && $response === true) {
+                return true;
+            }
+            list($type, $channel) = Strings::unpackSSH2('CN', $response);
+
+            // will not be setup yet on incoming channel open request
+            if (isset($channel) && isset($this->channel_status[$channel]) && isset($this->window_size_server_to_client[$channel])) {
+                $this->window_size_server_to_client[$channel]-= strlen($response);
+
+                // resize the window, if appropriate
+                if ($this->window_size_server_to_client[$channel] < 0) {
+                // PuTTY does something more analogous to the following:
+                //if ($this->window_size_server_to_client[$channel] < 0x3FFFFFFF) {
+                    $packet = pack('CNN', NET_SSH2_MSG_CHANNEL_WINDOW_ADJUST, $this->server_channels[$channel], $this->window_resize);
+                    $this->send_binary_packet($packet);
+                    $this->window_size_server_to_client[$channel]+= $this->window_resize;
+                }
+
+                switch ($type) {
+                    case NET_SSH2_MSG_CHANNEL_EXTENDED_DATA:
+                        /*
+                        if ($client_channel == self::CHANNEL_EXEC) {
+                            $this->send_channel_packet($client_channel, chr(0));
+                        }
+                        */
+                        // currently, there's only one possible value for $data_type_code: NET_SSH2_EXTENDED_DATA_STDERR
+                        list($data_type_code, $data) = Strings::unpackSSH2('Ns', $response);
+                        $this->stdErrorLog.= $data;
+                        if ($skip_extended || $this->quiet_mode) {
+                            continue 2;
+                        }
+                        if ($client_channel == $channel && $this->channel_status[$channel] == NET_SSH2_MSG_CHANNEL_DATA) {
+                            return $data;
+                        }
+                        if (!isset($this->channel_buffers[$channel])) {
+                            $this->channel_buffers[$channel] = [];
+                        }
+                        $this->channel_buffers[$channel][] = $data;
+
+                        continue 2;
+                    case NET_SSH2_MSG_CHANNEL_REQUEST:
+                        if ($this->channel_status[$channel] == NET_SSH2_MSG_CHANNEL_CLOSE) {
+                            continue 2;
+                        }
+                        list($value) = Strings::unpackSSH2('s', $response);
+                        switch ($value) {
+                            case 'exit-signal':
+                                list(
+                                    , // FALSE
+                                    $signal_name,
+                                    , // core dumped
+                                    $error_message
+                                ) = Strings::unpackSSH2('bsbs', $response);
+
+                                $this->errors[] = "SSH_MSG_CHANNEL_REQUEST (exit-signal): $signal_name";
+                                if (strlen($error_message)) {
+                                    $this->errors[count($this->errors) - 1].= "\r\n$error_message";
+                                }
+
+                                $this->send_binary_packet(pack('CN', NET_SSH2_MSG_CHANNEL_EOF, $this->server_channels[$client_channel]));
+                                $this->send_binary_packet(pack('CN', NET_SSH2_MSG_CHANNEL_CLOSE, $this->server_channels[$channel]));
+
+                                $this->channel_status[$channel] = NET_SSH2_MSG_CHANNEL_EOF;
+
+                                continue 3;
+                            case 'exit-status':
+                                list(, $this->exit_status) = Strings::unpackSSH2('CN', $response);
+
+                                // "The client MAY ignore these messages."
+                                // -- http://tools.ietf.org/html/rfc4254#section-6.10
+
+                                continue 3;
+                            default:
+                                // "Some systems may not implement signals, in which case they SHOULD ignore this message."
+                                //  -- http://tools.ietf.org/html/rfc4254#section-6.9
+                                continue 3;
+                        }
+                }
+
+                switch ($this->channel_status[$channel]) {
+                    case NET_SSH2_MSG_CHANNEL_OPEN:
+                        switch ($type) {
+                            case NET_SSH2_MSG_CHANNEL_OPEN_CONFIRMATION:
+                                list(
+                                    $this->server_channels[$channel],
+                                    $window_size,
+                                    $this->packet_size_client_to_server[$channel]
+                                ) = Strings::unpackSSH2('NNN', $response);
+
+                                if ($window_size < 0) {
+                                    $window_size&= 0x7FFFFFFF;
+                                    $window_size+= 0x80000000;
+                                }
+                                $this->window_size_client_to_server[$channel] = $window_size;
+                                $result = $client_channel == $channel ? true : $this->get_channel_packet($client_channel, $skip_extended);
+                                $this->on_channel_open();
+                                return $result;
+                            //case NET_SSH2_MSG_CHANNEL_OPEN_FAILURE:
+                            default:
+                                $this->disconnect_helper(NET_SSH2_DISCONNECT_BY_APPLICATION);
+                                throw new \RuntimeException('Unable to open channel');
+                        }
+                        break;
+                    case NET_SSH2_MSG_CHANNEL_REQUEST:
+                        switch ($type) {
+                            case NET_SSH2_MSG_CHANNEL_SUCCESS:
+                                return true;
+                            case NET_SSH2_MSG_CHANNEL_FAILURE:
+                                return false;
+                            default:
+                                $this->disconnect_helper(NET_SSH2_DISCONNECT_BY_APPLICATION);
+                                throw new \RuntimeException('Unable to fulfill channel request');
+                        }
+                    case NET_SSH2_MSG_CHANNEL_CLOSE:
+                        return $type == NET_SSH2_MSG_CHANNEL_CLOSE ? true : $this->get_channel_packet($client_channel, $skip_extended);
+                }
+            }
+
+            // ie. $this->channel_status[$channel] == NET_SSH2_MSG_CHANNEL_DATA
+
+            switch ($type) {
+                case NET_SSH2_MSG_CHANNEL_DATA:
+                    /*
+                    if ($channel == self::CHANNEL_EXEC) {
+                        // SCP requires null packets, such as this, be sent.  further, in the case of the ssh.com SSH server
+                        // this actually seems to make things twice as fast.  more to the point, the message right after
+                        // SSH_MSG_CHANNEL_DATA (usually SSH_MSG_IGNORE) won't block for as long as it would have otherwise.
+                        // in OpenSSH it slows things down but only by a couple thousandths of a second.
+                        $this->send_channel_packet($channel, chr(0));
+                    }
+                    */
+                    list($data) = Strings::unpackSSH2('s', $response);
+
+                    if ($channel == self::CHANNEL_AGENT_FORWARD) {
+                        $agent_response = $this->agent->forwardData($data);
+                        if (!is_bool($agent_response)) {
+                            $this->send_channel_packet($channel, $agent_response);
+                        }
+                        break;
+                    }
+
+                    if ($client_channel == $channel) {
+                        return $data;
+                    }
+                    if (!isset($this->channel_buffers[$channel])) {
+                        $this->channel_buffers[$channel] = [];
+                    }
+                    $this->channel_buffers[$channel][] = $data;
+                    break;
+                case NET_SSH2_MSG_CHANNEL_CLOSE:
+                    $this->curTimeout = 5;
+
+                    if ($this->bitmap & self::MASK_SHELL) {
+                        $this->bitmap&= ~self::MASK_SHELL;
+                    }
+                    if ($this->channel_status[$channel] != NET_SSH2_MSG_CHANNEL_EOF) {
+                        $this->send_binary_packet(pack('CN', NET_SSH2_MSG_CHANNEL_CLOSE, $this->server_channels[$channel]));
+                    }
+
+                    $this->channel_status[$channel] = NET_SSH2_MSG_CHANNEL_CLOSE;
+                    if ($client_channel == $channel) {
+                        return true;
+                    }
+                case NET_SSH2_MSG_CHANNEL_EOF:
+                    break;
+                default:
+                    $this->disconnect_helper(NET_SSH2_DISCONNECT_BY_APPLICATION);
+                    throw new \RuntimeException('Error reading channel data');
+            }
+        }
+    }
+
+    /**
+     * Sends Binary Packets
+     *
+     * See '6. Binary Packet Protocol' of rfc4253 for more info.
+     *
+     * @param string $data
+     * @param string $logged
+     * @see self::_get_binary_packet()
+     * @return bool
+     * @access private
+     */
+    protected function send_binary_packet($data, $logged = null)
+    {
+        if (!is_resource($this->fsock) || feof($this->fsock)) {
+            $this->bitmap = 0;
+            throw new ConnectionClosedException('Connection closed prematurely');
+        }
+
+        //if ($this->compress) {
+        //    // the -4 removes the checksum:
+        //    // http://php.net/function.gzcompress#57710
+        //    $data = substr(gzcompress($data), 0, -4);
+        //}
+
+        // 4 (packet length) + 1 (padding length) + 4 (minimal padding amount) == 9
+        $packet_length = strlen($data) + 9;
+        if ($this->encrypt && $this->encrypt->usesNonce()) {
+            $packet_length-= 4;
+        }
+        // round up to the nearest $this->encrypt_block_size
+        $packet_length+= (($this->encrypt_block_size - 1) * $packet_length) % $this->encrypt_block_size;
+        // subtracting strlen($data) is obvious - subtracting 5 is necessary because of packet_length and padding_length
+        $padding_length = $packet_length - strlen($data) - 5;
+        switch (true) {
+            case $this->encrypt && $this->encrypt->usesNonce():
+            case $this->hmac_create instanceof Hash && $this->hmac_create->etm:
+                $padding_length+= 4;
+                $packet_length+= 4;
+        }
+
+        $padding = Random::string($padding_length);
+
+        // we subtract 4 from packet_length because the packet_length field isn't supposed to include itself
+        $packet = pack('NCa*', $packet_length - 4, $padding_length, $data . $padding);
+
+        $hmac = '';
+        if ($this->hmac_create instanceof Hash && !$this->hmac_create->etm) {
+            if (($this->hmac_create->getHash() & "\xFF\xFF\xFF\xFF") == 'umac') {
+                $this->hmac_create->setNonce("\0\0\0\0" . pack('N', $this->send_seq_no));
+                $hmac = $this->hmac_create->hash($packet);
+            } else {
+                $hmac = $this->hmac_create->hash(pack('Na*', $this->send_seq_no, $packet));
+            }
+        }
+
+        if ($this->encrypt) {
+            switch ($this->encrypt->name) {
+                case 'aes128-gcm@openssh.com':
+                case 'aes256-gcm@openssh.com':
+                    $this->encrypt->setNonce(
+                        $this->encrypt->fixed .
+                        $this->encrypt->invocation_counter
+                    );
+                    Strings::increment_str($this->encrypt->invocation_counter);
+                    $this->encrypt->setAAD($temp = ($packet & "\xFF\xFF\xFF\xFF"));
+                    $packet = $temp . $this->encrypt->encrypt(substr($packet, 4));
+                    break;
+                case 'chacha20-poly1305@openssh.com':
+                    $nonce = pack('N2', 0, $this->send_seq_no);
+
+                    $this->encrypt->setNonce($nonce);
+                    $this->lengthEncrypt->setNonce($nonce);
+
+                    $length = $this->lengthEncrypt->encrypt($packet & "\xFF\xFF\xFF\xFF");
+
+                    $this->encrypt->setCounter(0);
+                    // this is the same approach that's implemented in Salsa20::createPoly1305Key()
+                    // but we don't want to use the same AEAD construction that RFC8439 describes
+                    // for ChaCha20-Poly1305 so we won't rely on it (see Salsa20::poly1305())
+                    $this->encrypt->setPoly1305Key(
+                        $this->encrypt->encrypt(str_repeat("\0", 32))
+                    );
+                    $this->encrypt->setAAD($length);
+                    $this->encrypt->setCounter(1);
+                    $packet = $length . $this->encrypt->encrypt(substr($packet, 4));
+                    break;
+                default:
+                    $packet = $this->hmac_create instanceof Hash && $this->hmac_create->etm ?
+                        ($packet & "\xFF\xFF\xFF\xFF") . $this->encrypt->encrypt(substr($packet, 4)) :
+                        $this->encrypt->encrypt($packet);
+            }
+        }
+
+        if ($this->hmac_create instanceof Hash && $this->hmac_create->etm) {
+            if (($this->hmac_create->getHash() & "\xFF\xFF\xFF\xFF") == 'umac') {
+                $this->hmac_create->setNonce("\0\0\0\0" . pack('N', $this->send_seq_no));
+                $hmac = $this->hmac_create->hash($packet);
+            } else {
+                $hmac = $this->hmac_create->hash(pack('Na*', $this->send_seq_no, $packet));
+            }
+        }
+
+        $this->send_seq_no++;
+
+        $packet.= $this->encrypt && $this->encrypt->usesNonce() ? $this->encrypt->getTag() : $hmac;
+
+        $start = microtime(true);
+        $sent = @fputs($this->fsock, $packet);
+        $stop = microtime(true);
+
+        if (defined('NET_SSH2_LOGGING')) {
+            $current = microtime(true);
+            $message_number = isset($this->message_numbers[ord($data[0])]) ? $this->message_numbers[ord($data[0])] : 'UNKNOWN (' . ord($data[0]) . ')';
+            $message_number = '-> ' . $message_number .
+                              ' (since last: ' . round($current - $this->last_packet, 4) . ', network: ' . round($stop - $start, 4) . 's)';
+            $this->append_log($message_number, isset($logged) ? $logged : $data);
+            $this->last_packet = $current;
+        }
+
+        if (strlen($packet) != $sent) {
+            $this->bitmap = 0;
+            throw new \RuntimeException("Only $sent of " . strlen($packet) . " bytes were sent");
+        }
+    }
+
+    /**
+     * Logs data packets
+     *
+     * Makes sure that only the last 1MB worth of packets will be logged
+     *
+     * @param string $message_number
+     * @param string $message
+     * @access private
+     */
+    private function append_log($message_number, $message)
+    {
+        // remove the byte identifying the message type from all but the first two messages (ie. the identification strings)
+        if (strlen($message_number) > 2) {
+            Strings::shift($message);
+        }
+
+        switch (NET_SSH2_LOGGING) {
+            // useful for benchmarks
+            case self::LOG_SIMPLE:
+                $this->message_number_log[] = $message_number;
+                break;
+            // the most useful log for SSH2
+            case self::LOG_COMPLEX:
+                $this->message_number_log[] = $message_number;
+                $this->log_size+= strlen($message);
+                $this->message_log[] = $message;
+                while ($this->log_size > self::LOG_MAX_SIZE) {
+                    $this->log_size-= strlen(array_shift($this->message_log));
+                    array_shift($this->message_number_log);
+                }
+                break;
+            // dump the output out realtime; packets may be interspersed with non packets,
+            // passwords won't be filtered out and select other packets may not be correctly
+            // identified
+            case self::LOG_REALTIME:
+                switch (PHP_SAPI) {
+                    case 'cli':
+                        $start = $stop = "\r\n";
+                        break;
+                    default:
+                        $start = '<pre>';
+                        $stop = '</pre>';
+                }
+                echo $start . $this->format_log([$message], [$message_number]) . $stop;
+                @flush();
+                @ob_flush();
+                break;
+            // basically the same thing as self::LOG_REALTIME with the caveat that NET_SSH2_LOG_REALTIME_FILENAME
+            // needs to be defined and that the resultant log file will be capped out at self::LOG_MAX_SIZE.
+            // the earliest part of the log file is denoted by the first <<< START >>> and is not going to necessarily
+            // at the beginning of the file
+            case self::LOG_REALTIME_FILE:
+                if (!isset($this->realtime_log_file)) {
+                    // PHP doesn't seem to like using constants in fopen()
+                    $filename = NET_SSH2_LOG_REALTIME_FILENAME;
+                    $fp = fopen($filename, 'w');
+                    $this->realtime_log_file = $fp;
+                }
+                if (!is_resource($this->realtime_log_file)) {
+                    break;
+                }
+                $entry = $this->format_log([$message], [$message_number]);
+                if ($this->realtime_log_wrap) {
+                    $temp = "<<< START >>>\r\n";
+                    $entry.= $temp;
+                    fseek($this->realtime_log_file, ftell($this->realtime_log_file) - strlen($temp));
+                }
+                $this->realtime_log_size+= strlen($entry);
+                if ($this->realtime_log_size > self::LOG_MAX_SIZE) {
+                    fseek($this->realtime_log_file, 0);
+                    $this->realtime_log_size = strlen($entry);
+                    $this->realtime_log_wrap = true;
+                }
+                fputs($this->realtime_log_file, $entry);
+        }
+    }
+
+    /**
+     * Sends channel data
+     *
+     * Spans multiple SSH_MSG_CHANNEL_DATAs if appropriate
+     *
+     * @param int $client_channel
+     * @param string $data
+     * @return bool
+     * @access private
+     */
+    protected function send_channel_packet($client_channel, $data)
+    {
+        while (strlen($data)) {
+            if (!$this->window_size_client_to_server[$client_channel]) {
+                $this->bitmap^= self::MASK_WINDOW_ADJUST;
+                // using an invalid channel will let the buffers be built up for the valid channels
+                $this->get_channel_packet(-1);
+                $this->bitmap^= self::MASK_WINDOW_ADJUST;
+            }
+
+            /* The maximum amount of data allowed is determined by the maximum
+               packet size for the channel, and the current window size, whichever
+               is smaller.
+                 -- http://tools.ietf.org/html/rfc4254#section-5.2 */
+            $max_size = min(
+                $this->packet_size_client_to_server[$client_channel],
+                $this->window_size_client_to_server[$client_channel]
+            );
+
+            $temp = Strings::shift($data, $max_size);
+            $packet = Strings::packSSH2(
+                'CNs',
+                NET_SSH2_MSG_CHANNEL_DATA,
+                $this->server_channels[$client_channel],
+                $temp
+            );
+            $this->window_size_client_to_server[$client_channel]-= strlen($temp);
+            $this->send_binary_packet($packet);
+        }
+
+        return true;
+    }
+
+    /**
+     * Closes and flushes a channel
+     *
+     * \phpseclib3\Net\SSH2 doesn't properly close most channels.  For exec() channels are normally closed by the server
+     * and for SFTP channels are presumably closed when the client disconnects.  This functions is intended
+     * for SCP more than anything.
+     *
+     * @param int $client_channel
+     * @param bool $want_reply
+     * @return bool
+     * @access private
+     */
+    private function close_channel($client_channel, $want_reply = false)
+    {
+        // see http://tools.ietf.org/html/rfc4254#section-5.3
+
+        $this->send_binary_packet(pack('CN', NET_SSH2_MSG_CHANNEL_EOF, $this->server_channels[$client_channel]));
+
+        if (!$want_reply) {
+            $this->send_binary_packet(pack('CN', NET_SSH2_MSG_CHANNEL_CLOSE, $this->server_channels[$client_channel]));
+        }
+
+        $this->channel_status[$client_channel] = NET_SSH2_MSG_CHANNEL_CLOSE;
+
+        $this->curTimeout = 5;
+
+        while (!is_bool($this->get_channel_packet($client_channel))) {
+        }
+
+        if ($this->is_timeout) {
+            $this->disconnect();
+        }
+
+        if ($want_reply) {
+            $this->send_binary_packet(pack('CN', NET_SSH2_MSG_CHANNEL_CLOSE, $this->server_channels[$client_channel]));
+        }
+
+        if ($this->bitmap & self::MASK_SHELL) {
+            $this->bitmap&= ~self::MASK_SHELL;
+        }
+    }
+
+    /**
+     * Disconnect
+     *
+     * @param int $reason
+     * @return bool
+     * @access protected
+     */
+    protected function disconnect_helper($reason)
+    {
+        if ($this->bitmap & self::MASK_CONNECTED) {
+            $data = Strings::packSSH2('CNss', NET_SSH2_MSG_DISCONNECT, $reason, '', '');
+            try {
+                $this->send_binary_packet($data);
+            } catch (\Exception $e) {
+            }
+        }
+
+        $this->bitmap = 0;
+        if (is_resource($this->fsock) && get_resource_type($this->fsock) == 'stream') {
+            fclose($this->fsock);
+        }
+
+        return false;
+    }
+
+    /**
+     * Define Array
+     *
+     * Takes any number of arrays whose indices are integers and whose values are strings and defines a bunch of
+     * named constants from it, using the value as the name of the constant and the index as the value of the constant.
+     * If any of the constants that would be defined already exists, none of the constants will be defined.
+     *
+     * @param mixed[] ...$args
+     * @access protected
+     */
+    protected function define_array(...$args)
+    {
+        foreach ($args as $arg) {
+            foreach ($arg as $key => $value) {
+                if (!defined($value)) {
+                    define($value, $key);
+                } else {
+                    break 2;
+                }
+            }
+        }
+    }
+
+    /**
+     * Returns a log of the packets that have been sent and received.
+     *
+     * Returns a string if NET_SSH2_LOGGING == self::LOG_COMPLEX, an array if NET_SSH2_LOGGING == self::LOG_SIMPLE and false if !defined('NET_SSH2_LOGGING')
+     *
+     * @access public
+     * @return array|false|string
+     */
+    public function getLog()
+    {
+        if (!defined('NET_SSH2_LOGGING')) {
+            return false;
+        }
+
+        switch (NET_SSH2_LOGGING) {
+            case self::LOG_SIMPLE:
+                return $this->message_number_log;
+            case self::LOG_COMPLEX:
+                $log = $this->format_log($this->message_log, $this->message_number_log);
+                return PHP_SAPI == 'cli' ? $log : '<pre>' . $log . '</pre>';
+            default:
+                return false;
+        }
+    }
+
+    /**
+     * Formats a log for printing
+     *
+     * @param array $message_log
+     * @param array $message_number_log
+     * @access private
+     * @return string
+     */
+    protected function format_log($message_log, $message_number_log)
+    {
+        $output = '';
+        for ($i = 0; $i < count($message_log); $i++) {
+            $output.= $message_number_log[$i] . "\r\n";
+            $current_log = $message_log[$i];
+            $j = 0;
+            do {
+                if (strlen($current_log)) {
+                    $output.= str_pad(dechex($j), 7, '0', STR_PAD_LEFT) . '0  ';
+                }
+                $fragment = Strings::shift($current_log, $this->log_short_width);
+                $hex = substr(preg_replace_callback('#.#s', function ($matches) {
+                    return $this->log_boundary . str_pad(dechex(ord($matches[0])), 2, '0', STR_PAD_LEFT);
+                }, $fragment), strlen($this->log_boundary));
+                // replace non ASCII printable characters with dots
+                // http://en.wikipedia.org/wiki/ASCII#ASCII_printable_characters
+                // also replace < with a . since < messes up the output on web browsers
+                $raw = preg_replace('#[^\x20-\x7E]|<#', '.', $fragment);
+                $output.= str_pad($hex, $this->log_long_width - $this->log_short_width, ' ') . $raw . "\r\n";
+                $j++;
+            } while (strlen($current_log));
+            $output.= "\r\n";
+        }
+
+        return $output;
+    }
+
+    /**
+     * Helper function for agent->on_channel_open()
+     *
+     * Used when channels are created to inform agent
+     * of said channel opening. Must be called after
+     * channel open confirmation received
+     *
+     * @access private
+     */
+    private function on_channel_open()
+    {
+        if (isset($this->agent)) {
+            $this->agent->registerChannelOpen($this);
+        }
+    }
+
+    /**
+     * Returns the first value of the intersection of two arrays or false if
+     * the intersection is empty. The order is defined by the first parameter.
+     *
+     * @param array $array1
+     * @param array $array2
+     * @return mixed False if intersection is empty, else intersected value.
+     * @access private
+     */
+    private static function array_intersect_first($array1, $array2)
+    {
+        foreach ($array1 as $value) {
+            if (in_array($value, $array2)) {
+                return $value;
+            }
+        }
+        return false;
+    }
+
+    /**
+     * Returns all errors
+     *
+     * @return string[]
+     * @access public
+     */
+    public function getErrors()
+    {
+        return $this->errors;
+    }
+
+    /**
+     * Returns the last error
+     *
+     * @return string
+     * @access public
+     */
+    public function getLastError()
+    {
+        $count = count($this->errors);
+
+        if ($count > 0) {
+            return $this->errors[$count - 1];
+        }
+    }
+
+    /**
+     * Return the server identification.
+     *
+     * @return string
+     * @access public
+     */
+    public function getServerIdentification()
+    {
+        $this->connect();
+
+        return $this->server_identifier;
+    }
+
+    /**
+     * Returns a list of algorithms the server supports
+     *
+     * @return array
+     * @access public
+     */
+    public function getServerAlgorithms()
+    {
+        $this->connect();
+
+        return [
+            'kex' => $this->kex_algorithms,
+            'hostkey' => $this->server_host_key_algorithms,
+            'client_to_server' => [
+                'crypt' => $this->encryption_algorithms_client_to_server,
+                'mac' => $this->mac_algorithms_client_to_server,
+                'comp' => $this->compression_algorithms_client_to_server,
+                'lang' => $this->languages_client_to_server
+            ],
+            'server_to_client' => [
+                'crypt' => $this->encryption_algorithms_server_to_client,
+                'mac' => $this->mac_algorithms_server_to_client,
+                'comp' => $this->compression_algorithms_server_to_client,
+                'lang' => $this->languages_server_to_client
+            ]
+        ];
+    }
+
+    /**
+     * Returns a list of KEX algorithms that phpseclib supports
+     *
+     * @return array
+     * @access public
+     */
+    public static function getSupportedKEXAlgorithms()
+    {
+        $kex_algorithms = [
+            // Elliptic Curve Diffie-Hellman Key Agreement (ECDH) using
+            // Curve25519. See doc/curve25519-sha256@libssh.org.txt in the
+            // libssh repository for more information.
+            'curve25519-sha256',
+            'curve25519-sha256@libssh.org',
+
+            'ecdh-sha2-nistp256', // RFC 5656
+            'ecdh-sha2-nistp384', // RFC 5656
+            'ecdh-sha2-nistp521', // RFC 5656
+
+            'diffie-hellman-group-exchange-sha256',// RFC 4419
+            'diffie-hellman-group-exchange-sha1',  // RFC 4419
+
+            // Diffie-Hellman Key Agreement (DH) using integer modulo prime
+            // groups.
+            'diffie-hellman-group14-sha256',
+            'diffie-hellman-group14-sha1', // REQUIRED
+            'diffie-hellman-group15-sha512',
+            'diffie-hellman-group16-sha512',
+            'diffie-hellman-group17-sha512',
+            'diffie-hellman-group18-sha512',
+
+            'diffie-hellman-group1-sha1', // REQUIRED
+        ];
+
+        return $kex_algorithms;
+    }
+
+    /**
+     * Returns a list of host key algorithms that phpseclib supports
+     *
+     * @return array
+     * @access public
+     */
+    public static function getSupportedHostKeyAlgorithms()
+    {
+        return [
+            'ssh-ed25519', // https://tools.ietf.org/html/draft-ietf-curdle-ssh-ed25519-02
+            'ecdsa-sha2-nistp256', // RFC 5656
+            'ecdsa-sha2-nistp384', // RFC 5656
+            'ecdsa-sha2-nistp521', // RFC 5656
+            'rsa-sha2-256', // RFC 8332
+            'rsa-sha2-512', // RFC 8332
+            'ssh-rsa', // RECOMMENDED  sign   Raw RSA Key
+            'ssh-dss'  // REQUIRED     sign   Raw DSS Key
+        ];
+    }
+
+    /**
+     * Returns a list of symmetric key algorithms that phpseclib supports
+     *
+     * @return array
+     * @access public
+     */
+    public static function getSupportedEncryptionAlgorithms()
+    {
+        $algos = [
+            // from <https://tools.ietf.org/html/rfc5647>:
+            'aes128-gcm@openssh.com',
+            'aes256-gcm@openssh.com',
+
+            // from <http://tools.ietf.org/html/rfc4345#section-4>:
+            'arcfour256',
+            'arcfour128',
+
+            //'arcfour',      // OPTIONAL          the ARCFOUR stream cipher with a 128-bit key
+
+            // CTR modes from <http://tools.ietf.org/html/rfc4344#section-4>:
+            'aes128-ctr',     // RECOMMENDED       AES (Rijndael) in SDCTR mode, with 128-bit key
+            'aes192-ctr',     // RECOMMENDED       AES with 192-bit key
+            'aes256-ctr',     // RECOMMENDED       AES with 256-bit key
+
+            // from <https://git.io/fhxOl>:
+            // one of the big benefits of chacha20-poly1305 is speed. the problem is...
+            // libsodium doesn't generate the poly1305 keys in the way ssh does and openssl's PHP bindings don't even
+            // seem to support poly1305 currently. so even if libsodium or openssl are being used for the chacha20
+            // part, pure-PHP has to be used for the poly1305 part and that's gonna cause a big slow down.
+            // speed-wise it winds up being faster to use AES (when openssl or mcrypt are available) and some HMAC
+            // (which is always gonna be super fast to compute thanks to the hash extension, which
+            // "is bundled and compiled into PHP by default")
+            'chacha20-poly1305@openssh.com',
+
+            'twofish128-ctr', // OPTIONAL          Twofish in SDCTR mode, with 128-bit key
+            'twofish192-ctr', // OPTIONAL          Twofish with 192-bit key
+            'twofish256-ctr', // OPTIONAL          Twofish with 256-bit key
+
+            'aes128-cbc',     // RECOMMENDED       AES with a 128-bit key
+            'aes192-cbc',     // OPTIONAL          AES with a 192-bit key
+            'aes256-cbc',     // OPTIONAL          AES in CBC mode, with a 256-bit key
+
+            'twofish128-cbc', // OPTIONAL          Twofish with a 128-bit key
+            'twofish192-cbc', // OPTIONAL          Twofish with a 192-bit key
+            'twofish256-cbc',
+            'twofish-cbc',    // OPTIONAL          alias for "twofish256-cbc"
+                              //                   (this is being retained for historical reasons)
+
+            'blowfish-ctr',   // OPTIONAL          Blowfish in SDCTR mode
+
+            'blowfish-cbc',   // OPTIONAL          Blowfish in CBC mode
+
+            '3des-ctr',       // RECOMMENDED       Three-key 3DES in SDCTR mode
+
+            '3des-cbc',       // REQUIRED          three-key 3DES in CBC mode
+
+             //'none'           // OPTIONAL          no encryption; NOT RECOMMENDED
+        ];
+
+        if (self::$crypto_engine) {
+            $engines = [self::$crypto_engine];
+        } else {
+            $engines = [
+                'libsodium',
+                'OpenSSL (GCM)',
+                'OpenSSL',
+                'mcrypt',
+                'Eval',
+                'PHP'
+            	];
+        }
+
+        $ciphers = [];
+
+        foreach ($engines as $engine) {
+            foreach ($algos as $algo) {
+                $obj = self::encryption_algorithm_to_crypt_instance($algo);
+                if ($obj instanceof Rijndael ) {
+                    $obj->setKeyLength(preg_replace('#[^\d]#', '', $algo));
+                }
+                switch ($algo) {
+                    case 'chacha20-poly1305@openssh.com':
+                    case 'arcfour128':
+                    case 'arcfour256':
+                        if ($engine != 'Eval') {
+                            continue 2;
+                        }
+                        break;
+                    case 'aes128-gcm@openssh.com':
+                    case 'aes256-gcm@openssh.com':
+                        if ($engine == 'OpenSSL') {
+                            continue 2;
+                        }
+                        $obj->setNonce('dummydummydu');
+                }
+                if ($obj->isValidEngine($engine)) {
+                    $algos = array_diff($algos, [$algo]);
+                    $ciphers[] = $algo;
+                }
+            }
+        }
+
+        return $ciphers;
+    }
+
+    /**
+     * Returns a list of MAC algorithms that phpseclib supports
+     *
+     * @return array
+     * @access public
+     */
+    public static function getSupportedMACAlgorithms()
+    {
+        return [
+            'hmac-sha2-256-etm@openssh.com',
+            'hmac-sha2-512-etm@openssh.com',
+            'umac-64-etm@openssh.com',
+            'umac-128-etm@openssh.com',
+            'hmac-sha1-etm@openssh.com',
+
+            // from <http://www.ietf.org/rfc/rfc6668.txt>:
+            'hmac-sha2-256',// RECOMMENDED     HMAC-SHA256 (digest length = key length = 32)
+            'hmac-sha2-512',// OPTIONAL        HMAC-SHA512 (digest length = key length = 64)
+
+            // from <https://tools.ietf.org/html/draft-miller-secsh-umac-01>:
+            'umac-64@openssh.com',
+            'umac-128@openssh.com',
+
+            'hmac-sha1-96', // RECOMMENDED     first 96 bits of HMAC-SHA1 (digest length = 12, key length = 20)
+            'hmac-sha1',    // REQUIRED        HMAC-SHA1 (digest length = key length = 20)
+            'hmac-md5-96',  // OPTIONAL        first 96 bits of HMAC-MD5 (digest length = 12, key length = 16)
+            'hmac-md5',     // OPTIONAL        HMAC-MD5 (digest length = key length = 16)
+            //'none'          // OPTIONAL        no MAC; NOT RECOMMENDED
+        ];
+    }
+
+    /**
+     * Returns a list of compression algorithms that phpseclib supports
+     *
+     * @return array
+     * @access public
+     */
+    public static function getSupportedCompressionAlgorithms()
+    {
+        return [
+            'none'   // REQUIRED        no compression
+            //'zlib' // OPTIONAL        ZLIB (LZ77) compression
+        ];
+    }
+
+    /**
+     * Return list of negotiated algorithms
+     *
+     * Uses the same format as https://www.php.net/ssh2-methods-negotiated
+     *
+     * @return array
+     * @access public
+     */
+    public function getAlgorithmsNegotiated()
+    {
+        $this->connect();
+
+        return [
+            'kex' => $this->kex_algorithm,
+            'hostkey' => $this->signature_format,
+            'client_to_server' => [
+                'crypt' => $this->encrypt->name,
+                'mac' => $this->hmac_create->name,
+                'comp' => 'none',
+            ],
+            'server_to_client' => [
+                'crypt' => $this->decrypt->name,
+                'mac' => $this->hmac_check->name,
+                'comp' => 'none',
+            ]
+        ];
+    }
+
+    /**
+     * Accepts an associative array with up to four parameters as described at
+     * <https://www.php.net/manual/en/function.ssh2-connect.php>
+     *
+     * @param array $methods
+     * @access public
+     */
+    public function setPreferredAlgorithms(array $methods)
+    {
+        $preferred = $methods;
+
+        if (isset($preferred['kex'])) {
+            $preferred['kex'] = array_intersect(
+                $preferred['kex'],
+                static::getSupportedKEXAlgorithms()
+            );
+        }
+
+        if (isset($preferred['hostkey'])) {
+            $preferred['hostkey'] = array_intersect(
+                $preferred['hostkey'],
+                static::getSupportedHostKeyAlgorithms()
+            );
+        }
+
+        $keys = ['client_to_server', 'server_to_client'];
+        foreach ($keys as $key) {
+            if (isset($preferred[$key])) {
+                $a = &$preferred[$key];
+                if (isset($a['crypt'])) {
+                    $a['crypt'] = array_intersect(
+                        $a['crypt'],
+                        static::getSupportedEncryptionAlgorithms()
+                    );
+                }
+                if (isset($a['comp'])) {
+                    $a['comp'] = array_intersect(
+                        $a['comp'],
+                        static::getSupportedCompressionAlgorithms()
+                    );
+                }
+                if (isset($a['mac'])) {
+                    $a['mac'] = array_intersect(
+                        $a['mac'],
+                        static::getSupportedMACAlgorithms()
+                    );
+                }
+            }
+        }
+
+        $keys = [
+            'kex',
+            'hostkey',
+            'client_to_server/crypt',
+            'client_to_server/comp',
+            'client_to_server/mac',
+            'server_to_client/crypt',
+            'server_to_client/comp',
+            'server_to_client/mac',
+        ];
+        foreach ($keys as $key) {
+            $p = $preferred;
+            $m = $methods;
+
+            $subkeys = explode('/', $key);
+            foreach ($subkeys as $subkey) {
+                if (!isset($p[$subkey])) {
+                    continue 2;
+                }
+                $p = $p[$subkey];
+                $m = $m[$subkey];
+            }
+
+            if (count($p) != count($m)) {
+                $diff = array_diff($m, $p);
+                $msg = count($diff) == 1 ?
+                    ' is not a supported algorithm' :
+                    ' are not supported algorithms';
+                throw new UnsupportedAlgorithmException(implode(', ', $diff) . $msg);
+            }
+        }
+
+        $this->preferred = $preferred;
+    }
+
+    /**
+     * Returns the banner message.
+     *
+     * Quoting from the RFC, "in some jurisdictions, sending a warning message before
+     * authentication may be relevant for getting legal protection."
+     *
+     * @return string
+     * @access public
+     */
+    public function getBannerMessage()
+    {
+        return $this->banner_message;
+    }
+
+    /**
+     * Returns the server public host key.
+     *
+     * Caching this the first time you connect to a server and checking the result on subsequent connections
+     * is recommended.  Returns false if the server signature is not signed correctly with the public host key.
+     *
+     * @return mixed
+     * @throws \RuntimeException on badly formatted keys
+     * @throws \phpseclib3\Exception\NoSupportedAlgorithmsException when the key isn't in a supported format
+     * @access public
+     */
+    public function getServerPublicHostKey()
+    {
+        if (!($this->bitmap & self::MASK_CONSTRUCTOR)) {
+            if (!$this->connect()) {
+                return false;
+            }
+        }
+
+        $signature = $this->signature;
+        $server_public_host_key = base64_encode($this->server_public_host_key);
+
+        if ($this->signature_validated) {
+            return $this->bitmap ?
+                $this->signature_format . ' ' . $server_public_host_key :
+                false;
+        }
+
+        $this->signature_validated = true;
+
+        switch ($this->signature_format) {
+            case 'ssh-ed25519':
+            case 'ecdsa-sha2-nistp256':
+            case 'ecdsa-sha2-nistp384':
+            case 'ecdsa-sha2-nistp521':
+                $key = EC::loadFormat('OpenSSH', $server_public_host_key)
+                    ->withSignatureFormat('SSH2');
+                switch ($this->signature_format) {
+                    case 'ssh-ed25519':
+                        $hash = 'sha512';
+                        break;
+                    case 'ecdsa-sha2-nistp256':
+                        $hash = 'sha256';
+                        break;
+                    case 'ecdsa-sha2-nistp384':
+                        $hash = 'sha384';
+                        break;
+                    case 'ecdsa-sha2-nistp521':
+                        $hash = 'sha512';
+                }
+                $key = $key->withHash($hash);
+                break;
+            case 'ssh-dss':
+                $key = DSA::loadFormat('OpenSSH', $server_public_host_key)
+                    ->withSignatureFormat('SSH2')
+                    ->withHash('sha1');
+                break;
+            case 'ssh-rsa':
+            case 'rsa-sha2-256':
+            case 'rsa-sha2-512':
+                if (strlen($signature) < 15) {
+                    return false;
+                }
+                Strings::shift($signature, 11);
+                $temp = unpack('Nlength', Strings::shift($signature, 4));
+                $signature = Strings::shift($signature, $temp['length']);
+
+                $key = RSA::loadFormat('OpenSSH', $server_public_host_key)
+                    ->withPadding(RSA::SIGNATURE_PKCS1);
+                switch ($this->signature_format) {
+                    case 'rsa-sha2-512':
+                        $hash = 'sha512';
+                        break;
+                    case 'rsa-sha2-256':
+                        $hash = 'sha256';
+                        break;
+                    //case 'ssh-rsa':
+                    default:
+                        $hash = 'sha1';
+                }
+                $key = $key->withHash($hash);
+                break;
+            default:
+                $this->disconnect_helper(NET_SSH2_DISCONNECT_HOST_KEY_NOT_VERIFIABLE);
+                throw new NoSupportedAlgorithmsException('Unsupported signature format');
+        }
+
+        if (!$key->verify($this->exchange_hash, $signature)) {
+            return $this->disconnect_helper(NET_SSH2_DISCONNECT_HOST_KEY_NOT_VERIFIABLE);
+        };
+
+        return $this->signature_format . ' ' . $server_public_host_key;
+    }
+
+    /**
+     * Returns the exit status of an SSH command or false.
+     *
+     * @return false|int
+     * @access public
+     */
+    public function getExitStatus()
+    {
+        if (is_null($this->exit_status)) {
+            return false;
+        }
+        return $this->exit_status;
+    }
+
+    /**
+     * Returns the number of columns for the terminal window size.
+     *
+     * @return int
+     * @access public
+     */
+    public function getWindowColumns()
+    {
+        return $this->windowColumns;
+    }
+
+    /**
+     * Returns the number of rows for the terminal window size.
+     *
+     * @return int
+     * @access public
+     */
+    public function getWindowRows()
+    {
+        return $this->windowRows;
+    }
+
+    /**
+     * Sets the number of columns for the terminal window size.
+     *
+     * @param int $value
+     * @access public
+     */
+    public function setWindowColumns($value)
+    {
+        $this->windowColumns = $value;
+    }
+
+    /**
+     * Sets the number of rows for the terminal window size.
+     *
+     * @param int $value
+     * @access public
+     */
+    public function setWindowRows($value)
+    {
+        $this->windowRows = $value;
+    }
+
+    /**
+     * Sets the number of columns and rows for the terminal window size.
+     *
+     * @param int $columns
+     * @param int $rows
+     * @access public
+     */
+    public function setWindowSize($columns = 80, $rows = 24)
+    {
+        $this->windowColumns = $columns;
+        $this->windowRows = $rows;
+    }
+
+    /**
+     * To String Magic Method
+     *
+     * @return string
+     * @access public
+     */
+    public function __toString()
+    {
+        return $this->getResourceId();
+    }
+
+    /**
+     * Get Resource ID
+     *
+     * We use {} because that symbols should not be in URL according to
+     * {@link http://tools.ietf.org/html/rfc3986#section-2 RFC}.
+     * It will safe us from any conflicts, because otherwise regexp will
+     * match all alphanumeric domains.
+     *
+     * @return string
+     */
+    public function getResourceId()
+    {
+        return '{' . spl_object_hash($this) . '}';
+    }
+
+    /**
+     * Return existing connection
+     *
+     * @param string $id
+     *
+     * @return bool|SSH2 will return false if no such connection
+     */
+    public static function getConnectionByResourceId($id)
+    {
+        return isset(self::$connections[$id]) ? self::$connections[$id] : false;
+    }
+
+    /**
+     * Return all excising connections
+     *
+     * @return SSH2[]
+     */
+    public static function getConnections()
+    {
+        return self::$connections;
+    }
+
+    /*
+     * Update packet types in log history
+     *
+     * @param string $old
+     * @param string $new
+     * @access private
+     */
+    private function updateLogHistory($old, $new)
+    {
+        if (defined('NET_SSH2_LOGGING') && NET_SSH2_LOGGING == self::LOG_COMPLEX) {
+            $this->message_number_log[count($this->message_number_log) - 1] = str_replace(
+                $old,
+                $new,
+                $this->message_number_log[count($this->message_number_log) - 1]
+            );
+        }
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/System/SSH/Agent.php b/vendor/phpseclib/phpseclib/phpseclib/System/SSH/Agent.php
new file mode 100644
index 000000000..d2b955ae5
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/System/SSH/Agent.php
@@ -0,0 +1,297 @@
+<?php
+
+/**
+ * Pure-PHP ssh-agent client.
+ *
+ * {@internal See http://api.libssh.org/rfc/PROTOCOL.agent}
+ *
+ * PHP version 5
+ *
+ * Here are some examples of how to use this library:
+ * <code>
+ * <?php
+ *    include 'vendor/autoload.php';
+ *
+ *    $agent = new \phpseclib3\System\SSH\Agent();
+ *
+ *    $ssh = new \phpseclib3\Net\SSH2('www.domain.tld');
+ *    if (!$ssh->login('username', $agent)) {
+ *        exit('Login Failed');
+ *    }
+ *
+ *    echo $ssh->exec('pwd');
+ *    echo $ssh->exec('ls -la');
+ * ?>
+ * </code>
+ *
+ * @category  System
+ * @package   SSH\Agent
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2014 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\System\SSH;
+
+use phpseclib3\Crypt\RSA;
+use phpseclib3\Exception\BadConfigurationException;
+use phpseclib3\System\SSH\Agent\Identity;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Crypt\PublicKeyLoader;
+
+/**
+ * Pure-PHP ssh-agent client identity factory
+ *
+ * requestIdentities() method pumps out \phpseclib3\System\SSH\Agent\Identity objects
+ *
+ * @package SSH\Agent
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+class Agent
+{
+    use Common\Traits\ReadBytes;
+
+    // Message numbers
+
+    // to request SSH1 keys you have to use SSH_AGENTC_REQUEST_RSA_IDENTITIES (1)
+    const SSH_AGENTC_REQUEST_IDENTITIES = 11;
+    // this is the SSH2 response; the SSH1 response is SSH_AGENT_RSA_IDENTITIES_ANSWER (2).
+    const SSH_AGENT_IDENTITIES_ANSWER = 12;
+    // the SSH1 request is SSH_AGENTC_RSA_CHALLENGE (3)
+    const SSH_AGENTC_SIGN_REQUEST = 13;
+    // the SSH1 response is SSH_AGENT_RSA_RESPONSE (4)
+    const SSH_AGENT_SIGN_RESPONSE = 14;
+
+    // Agent forwarding status
+
+    // no forwarding requested and not active
+    const FORWARD_NONE = 0;
+    // request agent forwarding when opportune
+    const FORWARD_REQUEST = 1;
+    // forwarding has been request and is active
+    const FORWARD_ACTIVE = 2;
+
+    /**
+     * Unused
+     */
+    const SSH_AGENT_FAILURE = 5;
+
+    /**
+     * Socket Resource
+     *
+     * @var resource
+     * @access private
+     */
+    private $fsock;
+
+    /**
+     * Agent forwarding status
+     *
+     * @var int
+     * @access private
+     */
+    private $forward_status = self::FORWARD_NONE;
+
+    /**
+     * Buffer for accumulating forwarded authentication
+     * agent data arriving on SSH data channel destined
+     * for agent unix socket
+     *
+     * @var string
+     * @access private
+     */
+    private $socket_buffer = '';
+
+    /**
+     * Tracking the number of bytes we are expecting
+     * to arrive for the agent socket on the SSH data
+     * channel
+     *
+     * @var int
+     * @access private
+     */
+    private $expected_bytes = 0;
+
+    /**
+     * The current request channel
+     *
+     * @var int
+     * @access private
+     */
+    private $request_channel;
+
+    /**
+     * Default Constructor
+     *
+     * @return \phpseclib3\System\SSH\Agent
+     * @throws \phpseclib3\Exception\BadConfigurationException if SSH_AUTH_SOCK cannot be found
+     * @throws \RuntimeException on connection errors
+     * @access public
+     */
+    public function __construct($address = null)
+    {
+        if (!$address) {
+            switch (true) {
+                case isset($_SERVER['SSH_AUTH_SOCK']):
+                    $address = $_SERVER['SSH_AUTH_SOCK'];
+                    break;
+                case isset($_ENV['SSH_AUTH_SOCK']):
+                    $address = $_ENV['SSH_AUTH_SOCK'];
+                    break;
+                default:
+                    throw new BadConfigurationException('SSH_AUTH_SOCK not found');
+            }
+        }
+
+        $this->fsock = fsockopen('unix://' . $address, 0, $errno, $errstr);
+        if (!$this->fsock) {
+            throw new \RuntimeException("Unable to connect to ssh-agent (Error $errno: $errstr)");
+        }
+    }
+
+    /**
+     * Request Identities
+     *
+     * See "2.5.2 Requesting a list of protocol 2 keys"
+     * Returns an array containing zero or more \phpseclib3\System\SSH\Agent\Identity objects
+     *
+     * @return array
+     * @throws \RuntimeException on receipt of unexpected packets
+     * @access public
+     */
+    public function requestIdentities()
+    {
+        if (!$this->fsock) {
+            return [];
+        }
+
+        $packet = pack('NC', 1, self::SSH_AGENTC_REQUEST_IDENTITIES);
+        if (strlen($packet) != fputs($this->fsock, $packet)) {
+            throw new \RuntimeException('Connection closed while requesting identities');
+        }
+
+        $length = current(unpack('N', $this->readBytes(4)));
+        $packet = $this->readBytes($length);
+
+        list($type, $keyCount) = Strings::unpackSSH2('CN', $packet);
+        if ($type != self::SSH_AGENT_IDENTITIES_ANSWER) {
+            throw new \RuntimeException('Unable to request identities');
+        }
+
+        $identities = [];
+        for ($i = 0; $i < $keyCount; $i++) {
+            list($key_blob, $comment) = Strings::unpackSSH2('ss', $packet);
+            $temp = $key_blob;
+            list($key_type) = Strings::unpackSSH2('s', $temp);
+            switch ($key_type) {
+                case 'ssh-rsa':
+                case 'ssh-dss':
+                case 'ssh-ed25519':
+                case 'ecdsa-sha2-nistp256':
+                case 'ecdsa-sha2-nistp384':
+                case 'ecdsa-sha2-nistp521':
+		    $key = PublicKeyLoader::load($key_type . ' ' . base64_encode($key_blob));
+            }
+            // resources are passed by reference by default
+            if (isset($key)) {
+                $identity = (new Identity($this->fsock))
+                    ->withPublicKey($key)
+                    ->withPublicKeyBlob($key_blob);
+                $identities[] = $identity;
+                unset($key);
+            }
+        }
+
+        return $identities;
+    }
+
+    /**
+     * Signal that agent forwarding should
+     * be requested when a channel is opened
+     *
+     * @param \phpseclib3\Net\SSH2 $ssh
+     * @return bool
+     * @access public
+     */
+    public function startSSHForwarding($ssh)
+    {
+        if ($this->forward_status == self::FORWARD_NONE) {
+            $this->forward_status = self::FORWARD_REQUEST;
+        }
+    }
+
+    /**
+     * Request agent forwarding of remote server
+     *
+     * @param \phpseclib3\Net\SSH2 $ssh
+     * @return bool
+     * @access private
+     */
+    private function request_forwarding($ssh)
+    {
+        if (!$ssh->requestAgentForwarding()) {
+            return false;
+        }
+
+        $this->forward_status = self::FORWARD_ACTIVE;
+
+        return true;
+    }
+
+    /**
+     * On successful channel open
+     *
+     * This method is called upon successful channel
+     * open to give the SSH Agent an opportunity
+     * to take further action. i.e. request agent forwarding
+     *
+     * @param \phpseclib3\Net\SSH2 $ssh
+     * @access private
+     */
+    public function registerChannelOpen($ssh)
+    {
+        if ($this->forward_status == self::FORWARD_REQUEST) {
+            $this->request_forwarding($ssh);
+        }
+    }
+
+    /**
+     * Forward data to SSH Agent and return data reply
+     *
+     * @param string $data
+     * @return string Data from SSH Agent
+     * @throws \RuntimeException on connection errors
+     * @access public
+     */
+    public function forwardData($data)
+    {
+        if ($this->expected_bytes > 0) {
+            $this->socket_buffer.= $data;
+            $this->expected_bytes -= strlen($data);
+        } else {
+            $agent_data_bytes = current(unpack('N', $data));
+            $current_data_bytes = strlen($data);
+            $this->socket_buffer = $data;
+            if ($current_data_bytes != $agent_data_bytes + 4) {
+                $this->expected_bytes = ($agent_data_bytes + 4) - $current_data_bytes;
+                return false;
+            }
+        }
+
+        if (strlen($this->socket_buffer) != fwrite($this->fsock, $this->socket_buffer)) {
+            throw new \RuntimeException('Connection closed attempting to forward data to SSH agent');
+        }
+
+        $this->socket_buffer = '';
+        $this->expected_bytes = 0;
+
+        $agent_reply_bytes = current(unpack('N', $this->readBytes(4)));
+
+        $agent_reply_data = $this->readBytes($agent_reply_bytes);
+        $agent_reply_data = current(unpack('a*', $agent_reply_data));
+
+        return pack('Na*', $agent_reply_bytes, $agent_reply_data);
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/System/SSH/Agent/Identity.php b/vendor/phpseclib/phpseclib/phpseclib/System/SSH/Agent/Identity.php
new file mode 100644
index 000000000..20b0a958f
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/System/SSH/Agent/Identity.php
@@ -0,0 +1,336 @@
+<?php
+
+/**
+ * Pure-PHP ssh-agent client.
+ *
+ * {@internal See http://api.libssh.org/rfc/PROTOCOL.agent}
+ *
+ * PHP version 5
+ *
+ * @category  System
+ * @package   SSH\Agent
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2009 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\System\SSH\Agent;
+
+use phpseclib3\Crypt\RSA;
+use phpseclib3\Crypt\DSA;
+use phpseclib3\Crypt\EC;
+use phpseclib3\Exception\UnsupportedAlgorithmException;
+use phpseclib3\System\SSH\Agent;
+use phpseclib3\Common\Functions\Strings;
+use phpseclib3\Crypt\Common\PrivateKey;
+
+/**
+ * Pure-PHP ssh-agent client identity object
+ *
+ * Instantiation should only be performed by \phpseclib3\System\SSH\Agent class.
+ * This could be thought of as implementing an interface that phpseclib3\Crypt\RSA
+ * implements. ie. maybe a Net_SSH_Auth_PublicKey interface or something.
+ * The methods in this interface would be getPublicKey and sign since those are the
+ * methods phpseclib looks for to perform public key authentication.
+ *
+ * @package SSH\Agent
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  internal
+ */
+class Identity implements PrivateKey
+{
+    use \phpseclib3\System\SSH\Common\Traits\ReadBytes;
+
+    // Signature Flags
+    // See https://tools.ietf.org/html/draft-miller-ssh-agent-00#section-5.3
+    const SSH_AGENT_RSA2_256 = 2;
+    const SSH_AGENT_RSA2_512 = 4;
+
+    /**
+     * Key Object
+     *
+     * @var \phpseclib3\Crypt\RSA
+     * @access private
+     * @see self::getPublicKey()
+     */
+    private $key;
+
+    /**
+     * Key Blob
+     *
+     * @var string
+     * @access private
+     * @see self::sign()
+     */
+    private $key_blob;
+
+    /**
+     * Socket Resource
+     *
+     * @var resource
+     * @access private
+     * @see self::sign()
+     */
+    private $fsock;
+
+    /**
+     * Signature flags
+     *
+     * @var int
+     * @access private
+     * @see self::sign()
+     * @see self::setHash()
+     */
+    private $flags = 0;
+
+    /**
+     * Curve Aliases
+     *
+     * @var array
+     * @access private
+     */
+    private static $curveAliases = [
+        'secp256r1' => 'nistp256',
+        'secp384r1' => 'nistp384',
+        'secp521r1' => 'nistp521',
+        'Ed25519' => 'Ed25519'
+    ];
+
+    /**
+     * Default Constructor.
+     *
+     * @param resource $fsock
+     * @return \phpseclib3\System\SSH\Agent\Identity
+     * @access private
+     */
+    public function __construct($fsock)
+    {
+        $this->fsock = $fsock;
+    }
+
+    /**
+     * Set Public Key
+     *
+     * Called by \phpseclib3\System\SSH\Agent::requestIdentities()
+     *
+     * @param \phpseclib3\Crypt\Common\PublicKey $key
+     * @access private
+     */
+    public function withPublicKey($key)
+    {
+        if ($key instanceof EC) {
+            if (is_array($key->getCurve()) || !isset(self::$curveAliases[$key->getCurve()])) {
+                throw new UnsupportedAlgorithmException('The only supported curves are nistp256, nistp384, nistp512 and Ed25519');
+            }
+        }
+
+        $new = clone $this;
+        $new->key = $key;
+        return $new;
+    }
+
+    /**
+     * Set Public Key
+     *
+     * Called by \phpseclib3\System\SSH\Agent::requestIdentities(). The key blob could be extracted from $this->key
+     * but this saves a small amount of computation.
+     *
+     * @param string $key_blob
+     * @access private
+     */
+    public function withPublicKeyBlob($key_blob)
+    {
+        $new = clone $this;
+        $new->key_blob = $key_blob;
+        return $new;
+    }
+
+    /**
+     * Get Public Key
+     *
+     * Wrapper for $this->key->getPublicKey()
+     *
+     * @param string $type optional
+     * @return mixed
+     * @access public
+     */
+    public function getPublicKey($type = 'PKCS8')
+    {
+        return $this->key;
+    }
+
+    /**
+     * Sets the hash
+     *
+     * @param string $hash
+     * @access public
+     */
+    public function withHash($hash)
+    {
+        $new = clone $this;
+
+        $hash = strtolower($hash);
+
+        if ($this->key instanceof RSA) {
+            $new->flags = 0;
+            switch ($hash) {
+                case 'sha1':
+                    break;
+                case 'sha256':
+                    $new->flags = self::SSH_AGENT_RSA2_256;
+                    break;
+                case 'sha512':
+                    $new->flags = self::SSH_AGENT_RSA2_512;
+                    break;
+                default:
+                    throw new UnsupportedAlgorithmException('The only supported hashes for RSA are sha1, sha256 and sha512');
+            }
+        }
+        if ($this->key instanceof EC) {
+            switch ($this->key->getCurve()) {
+                case 'secp256r1':
+                    $expectedHash = 'sha256';
+                    break;
+                case 'secp384r1':
+                    $expectedHash = 'sha384';
+                    break;
+                //case 'secp521r1':
+                //case 'Ed25519':
+                default:
+                    $expectedHash = 'sha512';
+            }
+            if ($hash != $expectedHash) {
+                throw new UnsupportedAlgorithmException('The only supported hash for ' . self::$curveAliases[$key->getCurve()] . ' is ' . $expectedHash);
+            }
+        }
+        if ($this->key instanceof DSA) {
+            if ($hash != 'sha1') {
+                throw new UnsupportedAlgorithmException('The only supported hash for DSA is sha1');
+            }
+        }
+        return $new;
+    }
+
+    /**
+     * Sets the padding
+     *
+     * Only PKCS1 padding is supported
+     *
+     * @param string $padding
+     * @access public
+     */
+    public function withPadding($padding)
+    {
+        if (!$this->key instanceof RSA) {
+            throw new UnsupportedAlgorithmException('Only RSA keys support padding');
+        }
+        if ($padding != RSA::SIGNATURE_PKCS1 && $padding != RSA::SIGNATURE_RELAXED_PKCS1) {
+            throw new UnsupportedAlgorithmException('ssh-agent can only create PKCS1 signatures');
+        }
+        return $this;
+    }
+
+    /**
+     * Determines the signature padding mode
+     *
+     * Valid values are: ASN1, SSH2, Raw
+     *
+     * @access public
+     * @param string $format
+     */
+    public function withSignatureFormat($format)
+    {
+        if ($this->key instanceof RSA) {
+            throw new UnsupportedAlgorithmException('Only DSA and EC keys support signature format setting');
+        }
+        if ($format != 'SSH2') {
+            throw new UnsupportedAlgorithmException('Only SSH2-formatted signatures are currently supported');
+        }
+
+        return $this;
+    }
+
+    /**
+     * Returns the curve
+     *
+     * Returns a string if it's a named curve, an array if not
+     *
+     * @access public
+     * @return string|array
+     */
+    public function getCurve()
+    {
+        if (!$this->key instanceof EC) {
+            throw new UnsupportedAlgorithmException('Only EC keys have curves');
+        }
+
+        return $this->key->getCurve();
+    }
+
+    /**
+     * Create a signature
+     *
+     * See "2.6.2 Protocol 2 private key signature request"
+     *
+     * @param string $message
+     * @return string
+     * @throws \RuntimeException on connection errors
+     * @throws \phpseclib3\Exception\UnsupportedAlgorithmException if the algorithm is unsupported
+     * @access public
+     */
+    public function sign($message)
+    {
+        // the last parameter (currently 0) is for flags and ssh-agent only defines one flag (for ssh-dss): SSH_AGENT_OLD_SIGNATURE
+        $packet = Strings::packSSH2(
+            'CssN',
+            Agent::SSH_AGENTC_SIGN_REQUEST,
+            $this->key_blob,
+            $message,
+            $this->flags
+        );
+        $packet = Strings::packSSH2('s', $packet);
+        if (strlen($packet) != fputs($this->fsock, $packet)) {
+            throw new \RuntimeException('Connection closed during signing');
+        }
+
+        $length = current(unpack('N', $this->readBytes(4)));
+        $packet = $this->readBytes($length);
+
+        list($type, $signature_blob) = Strings::unpackSSH2('Cs', $packet);
+        if ($type != Agent::SSH_AGENT_SIGN_RESPONSE) {
+            throw new \RuntimeException('Unable to retrieve signature');
+        }
+
+        if (!$this->key instanceof RSA) {
+            return $signature_blob;
+        }
+
+        list($type, $signature_blob) = Strings::unpackSSH2('ss', $signature_blob);
+
+        return $signature_blob;
+    }
+
+    /**
+     * Returns the private key
+     *
+     * @param string $type
+     * @param array $options optional
+     * @return string
+     */
+    public function toString($type, array $options = [])
+    {
+        throw new \RuntimeException('ssh-agent does not provide a mechanism to get the private key');
+    }
+
+    /**
+     * Sets the password
+     *
+     * @access public
+     * @param string|boolean $password
+     */
+    public function withPassword($password = false)
+    {
+        throw new \RuntimeException('ssh-agent does not provide a mechanism to get the private key');
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/System/SSH/Common/Traits/ReadBytes.php b/vendor/phpseclib/phpseclib/phpseclib/System/SSH/Common/Traits/ReadBytes.php
new file mode 100644
index 000000000..297808e42
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/System/SSH/Common/Traits/ReadBytes.php
@@ -0,0 +1,42 @@
+<?php
+
+/**
+ * ReadBytes trait
+ *
+ * PHP version 5
+ *
+ * @category  System
+ * @package   SSH
+ * @author    Jim Wigginton <terrafrost@php.net>
+ * @copyright 2015 Jim Wigginton
+ * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
+ * @link      http://phpseclib.sourceforge.net
+ */
+
+namespace phpseclib3\System\SSH\Common\Traits;
+
+/**
+ * ReadBytes trait
+ *
+ * @package SSH
+ * @author  Jim Wigginton <terrafrost@php.net>
+ * @access  public
+ */
+trait ReadBytes
+{
+    /**
+     * Read data
+     *
+     * @param int $length
+     * @throws \RuntimeException on connection errors
+     * @access public
+     */
+    public function readBytes($length)
+    {
+        $temp = fread($this->fsock, $length);
+        if (strlen($temp) != $length) {
+            throw new \RuntimeException("Expected $length bytes; got " . strlen($temp));
+        }
+        return $temp;
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/bootstrap.php b/vendor/phpseclib/phpseclib/phpseclib/bootstrap.php
new file mode 100644
index 000000000..bd4ba0b5a
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/bootstrap.php
@@ -0,0 +1,20 @@
+<?php
+
+/**
+ * Bootstrapping File for phpseclib
+ *
+ * composer isn't a requirement for phpseclib 2.0 but this file isn't really required
+ * either. it's a bonus for those using composer but if you're not phpseclib will
+ * still work
+ *
+ * @license http://www.opensource.org/licenses/mit-license.html MIT License
+ */
+if (extension_loaded('mbstring')) {
+    // 2 - MB_OVERLOAD_STRING
+    if (ini_get('mbstring.func_overload') & 2) {
+        throw new UnexpectedValueException(
+            'Overloading of string functions using mbstring.func_overload ' .
+            'is not supported by phpseclib.'
+        );
+    }
+}
diff --git a/vendor/phpseclib/phpseclib/phpseclib/openssl.cnf b/vendor/phpseclib/phpseclib/phpseclib/openssl.cnf
new file mode 100644
index 000000000..2b8b52f9f
--- /dev/null
+++ b/vendor/phpseclib/phpseclib/phpseclib/openssl.cnf
@@ -0,0 +1,6 @@
+# minimalist openssl.cnf file for use with phpseclib
+
+HOME			= .
+RANDFILE		= $ENV::HOME/.rnd
+
+[ v3_ca ]