game-sdk/simplewind/vendor/khanamiryan/qrcode-detector-decoder/lib/common/reedsolomon/GenericGFPoly.php

<?php
/*
 * Copyright 2007 ZXing authors
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */

namespace Zxing\Common\Reedsolomon;

/**
 * <p>Represents a polynomial whose coefficients are elements of a GF.
 * Instances of this class are immutable.</p>
 *
 * <p>Much credit is due to William Rucklidge since portions of this code are an indirect
 * port of his C++ Reed-Solomon implementation.</p>
 *
 * @author Sean Owen
 */
final class GenericGFPoly {

  private $field;
  private $coefficients;

  /**
   * @param field the {@link GenericGF} instance representing the field to use
   * to perform computations
   * @param coefficients array coefficients as ints representing elements of GF(size), arranged
   * from most significant (highest-power term) coefficient to least significant
   * @throws IllegalArgumentException 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")
   */
  function __construct($field, $coefficients) {
    if (count($coefficients) == 0) {
      throw new \InvalidArgumentException();
    }
    $this->field = $field;
    $coefficientsLength = count($coefficients);
    if ($coefficientsLength > 1 && $coefficients[0] == 0) {
      // Leading term must be non-zero for anything except the constant polynomial "0"
      $firstNonZero = 1;
      while ($firstNonZero < $coefficientsLength && $coefficients[$firstNonZero] == 0) {
        $firstNonZero++;
      }
      if ($firstNonZero == $coefficientsLength) {
        $this->coefficients = array(0);
      } else {
        $this->coefficients = fill_array(0,$coefficientsLength - $firstNonZero,0);
          $this->coefficients =  arraycopy($coefficients,
            $firstNonZero,
            $this->coefficients,
            0,
            count($this->coefficients));
      }
    } else {
      $this->coefficients = $coefficients;
    }
  }

  function getCoefficients() {
    return $this->coefficients;
  }

  /**
   * @return degree of this polynomial
   */
  function getDegree() {
    return count($this->coefficients) - 1;
  }

  /**
   * @return true iff this polynomial is the monomial "0"
   */
  function isZero() {
    return $this->coefficients[0] == 0;
  }

  /**
   * @return coefficient of x^degree term in this polynomial
   */
  function getCoefficient($degree) {
    return $this->coefficients[count($this->coefficients) - 1 - $degree];
  }

  /**
   * @return evaluation of this polynomial at a given point
   */
  function evaluateAt($a) {
    if ($a == 0) {
      // Just return the x^0 coefficient
      return $this->getCoefficient(0);
    }
    $size = count($this->coefficients);
    if ($a == 1) {
      // Just the sum of the coefficients
      $result = 0;
      foreach ($this->coefficients  as $coefficient ) {
        $result = GenericGF::addOrSubtract($result, $coefficient);
      }
      return $result;
    }
    $result = $this->coefficients[0];
    for ($i = 1; $i < $size; $i++) {
      $result = GenericGF::addOrSubtract($this->field->multiply($a, $result), $this->coefficients[$i]);
    }
    return $result;
  }

  function addOrSubtract($other) {
    if ($this->field !== $other->field) {
      throw new \InvalidArgumentException("GenericGFPolys do not have same GenericGF field");
    }
    if ($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;
    }
    $sumDiff = fill_array(0,count($largerCoefficients),0);
    $lengthDiff = count($largerCoefficients) - count($smallerCoefficients);
    // Copy high-order terms only found in higher-degree polynomial's coefficients
      $sumDiff = arraycopy($largerCoefficients, 0, $sumDiff, 0, $lengthDiff);

    for ($i = $lengthDiff; $i < count($largerCoefficients); $i++) {
      $sumDiff[$i] = GenericGF::addOrSubtract($smallerCoefficients[$i - $lengthDiff], $largerCoefficients[$i]);
    }

    return new GenericGFPoly($this->field, $sumDiff);
  }

  function multiply($other) {
      if(is_int($other)){
          return $this->multiply_($other);
      }
    if ($this->field !== $other->field) {
      throw new \InvalidArgumentException("GenericGFPolys do not have same GenericGF field");
    }
    if ($this->isZero() || $other->isZero()) {
      return $this->field->getZero();
    }
    $aCoefficients = $this->coefficients;
    $aLength = count($aCoefficients);
    $bCoefficients = $other->coefficients;
    $bLength = count($bCoefficients);
    $product = fill_array(0,$aLength + $bLength - 1,0);
    for ($i = 0; $i < $aLength; $i++) {
      $aCoeff = $aCoefficients[$i];
      for ($j = 0; $j < $bLength; $j++) {
        $product[$i + $j] = GenericGF::addOrSubtract($product[$i + $j],
            $this->field->multiply($aCoeff, $bCoefficients[$j]));
      }
    }
    return new GenericGFPoly($this->field, $product);
  }

  function multiply_($scalar) {
    if ($scalar == 0) {
      return $this->field->getZero();
    }
    if ($scalar == 1) {
      return $this;
    }
    $size = count($this->coefficients);
    $product = fill_array(0,$size,0);
    for ($i = 0; $i < $size; $i++) {
      $product[$i] = $this->field->multiply($this->coefficients[$i], $scalar);
    }
    return new GenericGFPoly($this->field, $product);
  }

  function multiplyByMonomial($degree, $coefficient) {
    if ($degree < 0) {
      throw new \InvalidArgumentException();
    }
    if ($coefficient == 0) {
      return $this->field->getZero();
    }
    $size = count($this->coefficients);
    $product = fill_array(0,$size + $degree,0);
    for ($i = 0; $i < $size; $i++) {
      $product[$i] = $this->field->multiply($this->coefficients[$i], $coefficient);
    }
    return new GenericGFPoly($this->field, $product);
  }

  function divide($other) {
    if ($this->field !==$other->field) {
      throw new \InvalidArgumentException("GenericGFPolys do not have same GenericGF field");
    }
    if ($other->isZero()) {
      throw new \InvalidArgumentException("Divide by 0");
    }

    $quotient = $this->field->getZero();
      $remainder = $this;

    $denominatorLeadingTerm = $other->getCoefficient($other->getDegree());
    $inverseDenominatorLeadingTerm = $this->field->inverse($denominatorLeadingTerm);

    while ($remainder->getDegree() >= $other->getDegree() && !$remainder->isZero()) {
      $degreeDifference = $remainder->getDegree() - $other->getDegree();
      $scale = $this->field->multiply($remainder->getCoefficient($remainder->getDegree()), $inverseDenominatorLeadingTerm);
      $term = $other->multiplyByMonomial($degreeDifference, $scale);
        $iterationQuotient = $this->field->buildMonomial($degreeDifference, $scale);
      $quotient = $quotient->addOrSubtract($iterationQuotient);
      $remainder = $remainder->addOrSubtract($term);
    }

    return array($quotient, $remainder );
  }

  //@Override
  public function toString() {
    $result = '';
    for ($degree = $this->getDegree(); $degree >= 0; $degree--) {
      $coefficient = $this->getCoefficient($degree);
      if ($coefficient != 0) {
        if ($coefficient < 0) {
          $result.=" - ";
          $coefficient = -$coefficient;
        } else {
          if (strlen($result) > 0) {
            $result .= " + ";
          }
        }
        if ($degree == 0 || $coefficient != 1) {
          $alphaPower = $this->field->log($coefficient);
          if ($alphaPower == 0) {
            $result.='1';
          } else if ($alphaPower == 1) {
            $result.='a';
          } else {
            $result.="a^";
            $result.=($alphaPower);
          }
        }
        if ($degree != 0) {
          if ($degree == 1) {
            $result.='x';
          } else {
            $result.="x^";
            $result.= $degree;
          }
        }
      }
    }
    return $result;
  }

}