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vendor/khanamiryan/qrcode-detector-decoder/lib/Common/Reedsolomon/GenericGF.php
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187
vendor/khanamiryan/qrcode-detector-decoder/lib/Common/Reedsolomon/GenericGF.php
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<?php
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/*
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* Copyright 2007 ZXing authors
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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namespace Zxing\Common\Reedsolomon;
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/**
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* <p>This class contains utility methods for performing mathematical operations over
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* the Galois Fields. Operations use a given primitive polynomial in calculations.</p>
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*
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* <p>Throughout this package, elements of the GF are represented as an {@code int}
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* for convenience and speed (but at the cost of memory).
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* </p>
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*
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* @author Sean Owen
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* @author David Olivier
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*/
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final class GenericGF
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{
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public static $AZTEC_DATA_12;
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public static $AZTEC_DATA_10;
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public static $AZTEC_DATA_6;
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public static $AZTEC_PARAM;
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public static $QR_CODE_FIELD_256;
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public static $DATA_MATRIX_FIELD_256;
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public static $AZTEC_DATA_8;
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public static $MAXICODE_FIELD_64;
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private array $expTable = [];
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private array $logTable = [];
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private readonly \Zxing\Common\Reedsolomon\GenericGFPoly $zero;
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private readonly \Zxing\Common\Reedsolomon\GenericGFPoly $one;
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/**
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* Create a representation of GF(size) using the given primitive polynomial.
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*
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* @param irreducible $primitive polynomial whose coefficients are represented by
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* the bits of an int, where the least-significant bit represents the constant
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* coefficient
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* @param the $size size of the field
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* @param the $generatorBase factor b in the generator polynomial can be 0- or 1-based
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(g(x) = (x+a^b)(x+a^(b+1))...(x+a^(b+2t-1))).
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In most cases it should be 1, but for QR code it is 0.
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*/
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public function __construct(private $primitive, private $size, private $generatorBase)
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{
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$x = 1;
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for ($i = 0; $i < $size; $i++) {
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$this->expTable[$i] = $x;
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$x *= 2; // we're assuming the generator alpha is 2
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if ($x >= $size) {
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$x ^= $primitive;
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$x &= $size - 1;
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}
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}
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for ($i = 0; $i < $size - 1; $i++) {
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$this->logTable[$this->expTable[$i]] = $i;
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}
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// logTable[0] == 0 but this should never be used
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$this->zero = new GenericGFPoly($this, [0]);
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$this->one = new GenericGFPoly($this, [1]);
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}
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public static function Init(): void
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{
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self::$AZTEC_DATA_12 = new GenericGF(0x1069, 4096, 1); // x^12 + x^6 + x^5 + x^3 + 1
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self::$AZTEC_DATA_10 = new GenericGF(0x409, 1024, 1); // x^10 + x^3 + 1
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self::$AZTEC_DATA_6 = new GenericGF(0x43, 64, 1); // x^6 + x + 1
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self::$AZTEC_PARAM = new GenericGF(0x13, 16, 1); // x^4 + x + 1
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self::$QR_CODE_FIELD_256 = new GenericGF(0x011D, 256, 0); // x^8 + x^4 + x^3 + x^2 + 1
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self::$DATA_MATRIX_FIELD_256 = new GenericGF(0x012D, 256, 1); // x^8 + x^5 + x^3 + x^2 + 1
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self::$AZTEC_DATA_8 = self::$DATA_MATRIX_FIELD_256;
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self::$MAXICODE_FIELD_64 = self::$AZTEC_DATA_6;
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}
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/**
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* Implements both addition and subtraction -- they are the same in GF(size).
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*
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* @return sum/difference of a and b
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*/
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public static function addOrSubtract($a, $b)
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{
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return $a ^ $b;
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}
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public function getZero()
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{
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return $this->zero;
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}
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public function getOne()
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{
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return $this->one;
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}
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/**
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* @return GenericGFPoly the monomial representing coefficient * x^degree
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*/
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public function buildMonomial($degree, $coefficient)
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{
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if ($degree < 0) {
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throw new \InvalidArgumentException();
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}
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if ($coefficient == 0) {
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return $this->zero;
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}
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$coefficients = fill_array(0, $degree + 1, 0);//new int[degree + 1];
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$coefficients[0] = $coefficient;
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return new GenericGFPoly($this, $coefficients);
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}
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/**
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* @return 2 to the power of a in GF(size)
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*/
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public function exp($a)
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{
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return $this->expTable[$a];
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}
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/**
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* @return base 2 log of a in GF(size)
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*/
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public function log($a)
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{
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if ($a == 0) {
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throw new \InvalidArgumentException();
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}
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return $this->logTable[$a];
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}
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/**
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* @return multiplicative inverse of a
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*/
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public function inverse($a)
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{
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if ($a == 0) {
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throw new \Exception();
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}
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return $this->expTable[$this->size - $this->logTable[$a] - 1];
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}
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/**
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* @return int product of a and b in GF(size)
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*/
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public function multiply($a, $b)
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{
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if ($a == 0 || $b == 0) {
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return 0;
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}
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return $this->expTable[($this->logTable[$a] + $this->logTable[$b]) % ($this->size - 1)];
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}
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public function getSize()
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{
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return $this->size;
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}
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public function getGeneratorBase()
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{
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return $this->generatorBase;
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}
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// @Override
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public function toString()
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{
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return "GF(0x" . dechex((int)($this->primitive)) . ',' . $this->size . ')';
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}
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}
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GenericGF::Init();
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