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<?php |
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/** |
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* Class Polynomial |
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* |
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* @filesource Polynomial.php |
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* @created 25.11.2015 |
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* @package chillerlan\QRCode |
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* @author Smiley <[email protected]> |
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* @copyright 2015 Smiley |
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* @license MIT |
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*/ |
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namespace chillerlan\QRCode; |
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/** |
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* |
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*/ |
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class Polynomial{ |
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/** |
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* @var array |
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*/ |
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public $num = []; |
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/** |
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* @var array |
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*/ |
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protected $EXP_TABLE = []; |
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/** |
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* @var array |
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*/ |
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protected $LOG_TABLE = []; |
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/** |
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* Polynomial constructor. |
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* |
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* @param array $num |
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* @param int $shift |
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*/ |
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public function __construct(array $num = [1], $shift = 0){ |
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$this->setNum($num, $shift)->setTables(); |
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} |
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/** |
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* @param array $num |
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* @param int $shift |
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* |
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* @return $this |
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*/ |
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public function setNum(array $num, $shift = 0){ |
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$offset = 0; |
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$numCount = count($num); |
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while($offset < $numCount && $num[$offset] === 0){ |
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$offset++; |
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} |
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$this->num = array_fill(0, $numCount - $offset + $shift, 0); |
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$i = 0; |
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while($i < $numCount - $offset){ |
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$this->num[$i] = $num[$i + $offset]; |
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$i++; |
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} |
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return $this; |
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} |
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/** |
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* |
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*/ |
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protected function setTables(){ |
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$this->EXP_TABLE = $this->LOG_TABLE = array_fill(0, 256, 0); |
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$i = 0; |
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while($i < 8){ |
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$this->EXP_TABLE[$i] = 1 << $i; |
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$i++; |
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} |
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$i = 8; |
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while($i < 256){ |
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$this->EXP_TABLE[$i] = $this->EXP_TABLE[$i - 4] ^ $this->EXP_TABLE[$i - 5] ^ $this->EXP_TABLE[$i - 6] ^ $this->EXP_TABLE[$i - 8]; |
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$i++; |
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} |
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$i = 0; |
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while($i < 255){ |
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$this->LOG_TABLE[$this->EXP_TABLE[$i]] = $i; |
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$i++; |
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} |
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} |
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/** |
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* @param array $e |
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*/ |
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public function multiply(array $e){ |
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$n = array_fill(0, count($this->num) + count($e) - 1, 0); |
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foreach($this->num as $i => &$vi){ |
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foreach($e as $j => &$vj){ |
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$n[$i + $j] ^= $this->gexp($this->glog($vi) + $this->glog($vj)); |
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} |
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} |
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$this->setNum($n); |
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} |
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/** |
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* @param array $e |
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*/ |
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public function mod(array $e){ |
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$n = $this->num; |
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if(count($n) - count($e) < 0){ |
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return; |
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} |
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$ratio = $this->glog($n[0]) - $this->glog($e[0]); |
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foreach($e as $i => &$v){ |
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$n[$i] ^= $this->gexp($this->glog($v) + $ratio); |
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} |
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$this->setNum($n)->mod($e); |
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} |
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/** |
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* @param int $n |
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* |
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* @return int |
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* @throws \chillerlan\QRCode\QRCodeException |
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*/ |
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public function glog($n){ |
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if($n < 1){ |
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throw new QRCodeException('log('.$n.')'); |
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} |
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return $this->LOG_TABLE[$n]; |
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} |
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/** |
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* @param int $n |
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* |
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* @return int |
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*/ |
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public function gexp($n){ |
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if($n < 0){ |
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$n += 255; |
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} |
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elseif($n >= 256){ |
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$n -= 255; |
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} |
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return $this->EXP_TABLE[$n]; |
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} |
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} |
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