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<?php
/**
* Class Polynomial
*
* @filesource Polynomial.php
* @created 25.11.2015
* @package chillerlan\QRCode\Helpers
* @author Smiley <smiley@chillerlan.net>
* @copyright 2015 Smiley
* @license MIT
*/
namespace chillerlan\QRCode\Helpers;
use chillerlan\QRCode\QRCodeException;
use function array_fill, count, sprintf;
/**
* Polynomial long division helpers
*
* @see http://www.thonky.com/qr-code-tutorial/error-correction-coding
*/
final class Polynomial{
/**
* @see http://www.thonky.com/qr-code-tutorial/log-antilog-table
*/
protected const table = [
[ 1, 0], [ 2, 0], [ 4, 1], [ 8, 25], [ 16, 2], [ 32, 50], [ 64, 26], [128, 198],
[ 29, 3], [ 58, 223], [116, 51], [232, 238], [205, 27], [135, 104], [ 19, 199], [ 38, 75],
[ 76, 4], [152, 100], [ 45, 224], [ 90, 14], [180, 52], [117, 141], [234, 239], [201, 129],
[143, 28], [ 3, 193], [ 6, 105], [ 12, 248], [ 24, 200], [ 48, 8], [ 96, 76], [192, 113],
[157, 5], [ 39, 138], [ 78, 101], [156, 47], [ 37, 225], [ 74, 36], [148, 15], [ 53, 33],
[106, 53], [212, 147], [181, 142], [119, 218], [238, 240], [193, 18], [159, 130], [ 35, 69],
[ 70, 29], [140, 181], [ 5, 194], [ 10, 125], [ 20, 106], [ 40, 39], [ 80, 249], [160, 185],
[ 93, 201], [186, 154], [105, 9], [210, 120], [185, 77], [111, 228], [222, 114], [161, 166],
[ 95, 6], [190, 191], [ 97, 139], [194, 98], [153, 102], [ 47, 221], [ 94, 48], [188, 253],
[101, 226], [202, 152], [137, 37], [ 15, 179], [ 30, 16], [ 60, 145], [120, 34], [240, 136],
[253, 54], [231, 208], [211, 148], [187, 206], [107, 143], [214, 150], [177, 219], [127, 189],
[254, 241], [225, 210], [223, 19], [163, 92], [ 91, 131], [182, 56], [113, 70], [226, 64],
[217, 30], [175, 66], [ 67, 182], [134, 163], [ 17, 195], [ 34, 72], [ 68, 126], [136, 110],
[ 13, 107], [ 26, 58], [ 52, 40], [104, 84], [208, 250], [189, 133], [103, 186], [206, 61],
[129, 202], [ 31, 94], [ 62, 155], [124, 159], [248, 10], [237, 21], [199, 121], [147, 43],
[ 59, 78], [118, 212], [236, 229], [197, 172], [151, 115], [ 51, 243], [102, 167], [204, 87],
[133, 7], [ 23, 112], [ 46, 192], [ 92, 247], [184, 140], [109, 128], [218, 99], [169, 13],
[ 79, 103], [158, 74], [ 33, 222], [ 66, 237], [132, 49], [ 21, 197], [ 42, 254], [ 84, 24],
[168, 227], [ 77, 165], [154, 153], [ 41, 119], [ 82, 38], [164, 184], [ 85, 180], [170, 124],
[ 73, 17], [146, 68], [ 57, 146], [114, 217], [228, 35], [213, 32], [183, 137], [115, 46],
[230, 55], [209, 63], [191, 209], [ 99, 91], [198, 149], [145, 188], [ 63, 207], [126, 205],
[252, 144], [229, 135], [215, 151], [179, 178], [123, 220], [246, 252], [241, 190], [255, 97],
[227, 242], [219, 86], [171, 211], [ 75, 171], [150, 20], [ 49, 42], [ 98, 93], [196, 158],
[149, 132], [ 55, 60], [110, 57], [220, 83], [165, 71], [ 87, 109], [174, 65], [ 65, 162],
[130, 31], [ 25, 45], [ 50, 67], [100, 216], [200, 183], [141, 123], [ 7, 164], [ 14, 118],
[ 28, 196], [ 56, 23], [112, 73], [224, 236], [221, 127], [167, 12], [ 83, 111], [166, 246],
[ 81, 108], [162, 161], [ 89, 59], [178, 82], [121, 41], [242, 157], [249, 85], [239, 170],
[195, 251], [155, 96], [ 43, 134], [ 86, 177], [172, 187], [ 69, 204], [138, 62], [ 9, 90],
[ 18, 203], [ 36, 89], [ 72, 95], [144, 176], [ 61, 156], [122, 169], [244, 160], [245, 81],
[247, 11], [243, 245], [251, 22], [235, 235], [203, 122], [139, 117], [ 11, 44], [ 22, 215],
[ 44, 79], [ 88, 174], [176, 213], [125, 233], [250, 230], [233, 231], [207, 173], [131, 232],
[ 27, 116], [ 54, 214], [108, 244], [216, 234], [173, 168], [ 71, 80], [142, 88], [ 1, 175],
];
/**
* @var int[]
*/
protected array $num = [];
/**
* Polynomial constructor.
*/
public function __construct(array $num = null, int $shift = null){
$this->setNum($num ?? [1], $shift);
}
/**
*
*/
public function getNum():array{
return $this->num;
}
/**
* @param int[] $num
* @param int|null $shift
*
* @return \chillerlan\QRCode\Helpers\Polynomial
*/
public function setNum(array $num, int $shift = null):Polynomial{
$offset = 0;
$numCount = count($num);
while($offset < $numCount && $num[$offset] === 0){
$offset++;
}
$this->num = array_fill(0, $numCount - $offset + ($shift ?? 0), 0);
for($i = 0; $i < $numCount - $offset; $i++){
$this->num[$i] = $num[$i + $offset];
}
return $this;
}
/**
* @param int[] $e
*
* @return \chillerlan\QRCode\Helpers\Polynomial
*/
public function multiply(array $e):Polynomial{
$n = array_fill(0, count($this->num) + count($e) - 1, 0);
foreach($this->num as $i => $vi){
$vi = $this->glog($vi);
foreach($e as $j => $vj){
$n[$i + $j] ^= $this->gexp($vi + $this->glog($vj));
}
}
$this->setNum($n);
return $this;
}
/**
* @param int[] $e
*
* @return \chillerlan\QRCode\Helpers\Polynomial
*/
public function mod(array $e):Polynomial{
$n = $this->num;
if(count($n) - count($e) < 0){
return $this;
}
$ratio = $this->glog($n[0]) - $this->glog($e[0]);
foreach($e as $i => $v){
$n[$i] ^= $this->gexp($this->glog($v) + $ratio);
}
$this->setNum($n)->mod($e);
return $this;
}
/**
* @throws \chillerlan\QRCode\QRCodeException
*/
public function glog(int $n):int{
if($n < 1){
throw new QRCodeException(sprintf('log(%s)', $n));
}
return self::table[$n][1];
}
/**
*
*/
public function gexp(int $n):int{
if($n < 0){
$n += 255;
}
elseif($n >= 256){
$n -= 255;
}
return self::table[$n][0];
}
}
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