# woocommerce-pos/1.10.20/vendor_prefixed/chillerlan/php-qrcode/src/Common/GenericGFPoly.php

WCPOS – Point of Sale (POS) plugin for WooCommerce, version 1.10.20. 217 lines.

- Page: https://pluginprobe.com/plugins/woocommerce-pos/1.10.20/code/vendor_prefixed/chillerlan/php-qrcode/src/Common/GenericGFPoly.php
- Raw: https://pluginprobe.com/plugins/woocommerce-pos/1.10.20/raw/vendor_prefixed/chillerlan/php-qrcode/src/Common/GenericGFPoly.php
- Modified: 2026-06-09T13:55:26+00:00

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```php
<?php

/**
 * Class GenericGFPoly
 *
 * @created      16.01.2021
 * @author       ZXing Authors
 * @author       Smiley <smiley@chillerlan.net>
 * @copyright    2021 Smiley
 * @license      Apache-2.0
 */
namespace WCPOS\Vendor\chillerlan\QRCode\Common;

use WCPOS\Vendor\chillerlan\QRCode\QRCodeException;
use function array_fill, array_slice, array_splice, count;
/**
 * Represents a polynomial whose coefficients are elements of a GF.
 * Instances of this class are immutable.
 *
 * Much credit is due to William Rucklidge since portions of this code are an indirect
 * port of his C++ Reed-Solomon implementation.
 *
 * @author Sean Owen
 */
final class GenericGFPoly
{
    private array $coefficients;
    /**
     * @param array      $coefficients array coefficients as ints representing elements of GF(size), arranged
     *                                 from most significant (highest-power term) coefficient to the least significant
     * @param int|null   $degree
     *
     * @throws \chillerlan\QRCode\QRCodeException if argument is null or empty, or if leading coefficient is 0 and this
     *                                            is not a constant polynomial (that is, it is not the monomial "0")
     */
    public function __construct(array $coefficients, ?int $degree = null)
    {
        $degree ??= 0;
        if ($coefficients === []) {
            throw new QRCodeException('arg $coefficients is empty');
        }
        if ($degree < 0) {
            throw new QRCodeException('negative degree');
        }
        $coefficientsLength = count($coefficients);
        // Leading term must be non-zero for anything except the constant polynomial "0"
        $firstNonZero = 0;
        while ($firstNonZero < $coefficientsLength && $coefficients[$firstNonZero] === 0) {
            $firstNonZero++;
        }
        $this->coefficients = [0];
        if ($firstNonZero !== $coefficientsLength) {
            $this->coefficients = array_fill(0, $coefficientsLength - $firstNonZero + $degree, 0);
            for ($i = 0; $i < $coefficientsLength - $firstNonZero; $i++) {
                $this->coefficients[$i] = $coefficients[$i + $firstNonZero];
            }
        }
    }
    /**
     * @return int $coefficient of x^degree term in this polynomial
     */
    public function getCoefficient(int $degree) : int
    {
        return $this->coefficients[count($this->coefficients) - 1 - $degree];
    }
    /**
     * @return int[]
     */
    public function getCoefficients() : array
    {
        return $this->coefficients;
    }
    /**
     * @return int $degree of this polynomial
     */
    public function getDegree() : int
    {
        return count($this->coefficients) - 1;
    }
    /**
     * @return bool true if this polynomial is the monomial "0"
     */
    public function isZero() : bool
    {
        return $this->coefficients[0] === 0;
    }
    /**
     * @return int evaluation of this polynomial at a given point
     */
    public function evaluateAt(int $a) : int
    {
        if ($a === 0) {
            // Just return the x^0 coefficient
            return $this->getCoefficient(0);
        }
        $result = 0;
        foreach ($this->coefficients as $c) {
            // if $a === 1 just the sum of the coefficients
            $result = GF256::addOrSubtract($a === 1 ? $result : GF256::multiply($a, $result), $c);
        }
        return $result;
    }
    /**
     *
     */
    public function multiply(GenericGFPoly $other) : self
    {
        if ($this->isZero() || $other->isZero()) {
            return new self([0]);
        }
        $product = array_fill(0, count($this->coefficients) + count($other->coefficients) - 1, 0);
        foreach ($this->coefficients as $i => $aCoeff) {
            foreach ($other->coefficients as $j => $bCoeff) {
                $product[$i + $j] ^= GF256::multiply($aCoeff, $bCoeff);
            }
        }
        return new self($product);
    }
    /**
     * @return \chillerlan\QRCode\Common\GenericGFPoly[] [quotient, remainder]
     * @throws \chillerlan\QRCode\QRCodeException
     */
    public function divide(GenericGFPoly $other) : array
    {
        if ($other->isZero()) {
            throw new QRCodeException('Division by 0');
        }
        $quotient = new self([0]);
        $remainder = clone $this;
        $denominatorLeadingTerm = $other->getCoefficient($other->getDegree());
        $inverseDenominatorLeadingTerm = GF256::inverse($denominatorLeadingTerm);
        while ($remainder->getDegree() >= $other->getDegree() && !$remainder->isZero()) {
            $scale = GF256::multiply($remainder->getCoefficient($remainder->getDegree()), $inverseDenominatorLeadingTerm);
            $diff = $remainder->getDegree() - $other->getDegree();
            $quotient = $quotient->addOrSubtract(GF256::buildMonomial($diff, $scale));
            $remainder = $remainder->addOrSubtract($other->multiplyByMonomial($diff, $scale));
        }
        return [$quotient, $remainder];
    }
    /**
     *
     */
    public function multiplyInt(int $scalar) : self
    {
        if ($scalar === 0) {
            return new self([0]);
        }
        if ($scalar === 1) {
            return $this;
        }
        $product = array_fill(0, count($this->coefficients), 0);
        foreach ($this->coefficients as $i => $c) {
            $product[$i] = GF256::multiply($c, $scalar);
        }
        return new self($product);
    }
    /**
     * @throws \chillerlan\QRCode\QRCodeException
     */
    public function multiplyByMonomial(int $degree, int $coefficient) : self
    {
        if ($degree < 0) {
            throw new QRCodeException('degree < 0');
        }
        if ($coefficient === 0) {
            return new self([0]);
        }
        $product = array_fill(0, count($this->coefficients) + $degree, 0);
        foreach ($this->coefficients as $i => $c) {
            $product[$i] = GF256::multiply($c, $coefficient);
        }
        return new self($product);
    }
    /**
     *
     */
    public function mod(GenericGFPoly $other) : self
    {
        if (count($this->coefficients) - count($other->coefficients) < 0) {
            return $this;
        }
        $ratio = GF256::log($this->coefficients[0]) - GF256::log($other->coefficients[0]);
        foreach ($other->coefficients as $i => $c) {
            $this->coefficients[$i] ^= GF256::exp(GF256::log($c) + $ratio);
        }
        return (new self($this->coefficients))->mod($other);
    }
    /**
     *
     */
    public function addOrSubtract(GenericGFPoly $other) : self
    {
        if ($this->isZero()) {
            return $other;
        }
        if ($other->isZero()) {
            return $this;
        }
        $smallerCoefficients = $this->coefficients;
        $largerCoefficients = $other->coefficients;
        if (count($smallerCoefficients) > count($largerCoefficients)) {
            $temp = $smallerCoefficients;
            $smallerCoefficients = $largerCoefficients;
            $largerCoefficients = $temp;
        }
        $sumDiff = array_fill(0, count($largerCoefficients), 0);
        $lengthDiff = count($largerCoefficients) - count($smallerCoefficients);
        // Copy high-order terms only found in higher-degree polynomial's coefficients
        array_splice($sumDiff, 0, $lengthDiff, array_slice($largerCoefficients, 0, $lengthDiff));
        $countLargerCoefficients = count($largerCoefficients);
        for ($i = $lengthDiff; $i < $countLargerCoefficients; $i++) {
            $sumDiff[$i] = GF256::addOrSubtract($smallerCoefficients[$i - $lengthDiff], $largerCoefficients[$i]);
        }
        return new self($sumDiff);
    }
}

```
