Mercurial > hgrepos > Python2 > PyMuPDF

annotate mupdf-source/thirdparty/zxing-cpp/core/src/ReedSolomonDecoder.cpp @ 21:2f43e400f144

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Provide an "all" target to build both the sdist and the wheel
author Franz Glasner <fzglas.hg@dom66.de>
date Fri, 19 Sep 2025 10:28:53 +0200
parents b50eed0cc0ef
children
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2
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1 /*
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2 * Copyright 2016 Nu-book Inc.
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3 * Copyright 2016 ZXing authors
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4 * Copyright 2017 Axel Waggershauser
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5 */
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6 // SPDX-License-Identifier: Apache-2.0
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8 #include "ReedSolomonDecoder.h"
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10 #include "GenericGF.h"
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11 #include "ZXConfig.h"
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13 #include <algorithm>
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14 #include <stdexcept>
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15 #include <utility>
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17 namespace ZXing {
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19 static bool
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20 RunEuclideanAlgorithm(const GenericGF& field, std::vector<int>&& rCoefs, GenericGFPoly& sigma, GenericGFPoly& omega)
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21 {
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22 int R = Size(rCoefs); // == numECCodeWords
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23 GenericGFPoly r(field, std::move(rCoefs));
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24 GenericGFPoly& tLast = omega.setField(field);
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25 GenericGFPoly& t = sigma.setField(field);
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26 ZX_THREAD_LOCAL GenericGFPoly q, rLast;
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28 rLast.setField(field);
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29 q.setField(field);
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31 rLast.setMonomial(1, R);
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32 tLast.setMonomial(0);
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33 t.setMonomial(1);
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34
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35 // Assume r's degree is < rLast's
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36 if (r.degree() >= rLast.degree())
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37 swap(r, rLast);
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38
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39 // Run Euclidean algorithm until r's degree is less than R/2
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40 while (r.degree() >= R / 2) {
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41 swap(tLast, t);
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42 swap(rLast, r);
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43
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44 // Divide rLastLast by rLast, with quotient in q and remainder in r
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45 if (rLast.isZero())
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46 return false; // Oops, Euclidean algorithm already terminated?
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48 r.divide(rLast, q);
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50 q.multiply(tLast);
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51 q.addOrSubtract(t);
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52 swap(t, q); // t = q
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53
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54 if (r.degree() >= rLast.degree())
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55 throw std::runtime_error("Division algorithm failed to reduce polynomial?");
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56 }
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57
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58 int sigmaTildeAtZero = t.constant();
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59 if (sigmaTildeAtZero == 0)
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60 return false;
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61
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62 int inverse = field.inverse(sigmaTildeAtZero);
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63 t.multiplyByMonomial(inverse);
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64 r.multiplyByMonomial(inverse);
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65
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66 // sigma is t
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67 omega = std::move(r);
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68 return true;
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69 }
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71 static std::vector<int>
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72 FindErrorLocations(const GenericGF& field, const GenericGFPoly& errorLocator)
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73 {
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74 // This is a direct application of Chien's search
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75 int numErrors = errorLocator.degree();
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76 std::vector<int> res;
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77 res.reserve(numErrors);
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78
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79 for (int i = 1; i < field.size() && Size(res) < numErrors; i++)
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80 if (errorLocator.evaluateAt(i) == 0)
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81 res.push_back(field.inverse(i));
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82
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83 if (Size(res) != numErrors)
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84 return {}; // Error locator degree does not match number of roots
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85
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86 return res;
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87 }
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88
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89 static std::vector<int>
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90 FindErrorMagnitudes(const GenericGF& field, const GenericGFPoly& errorEvaluator, const std::vector<int>& errorLocations)
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91 {
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92 // This is directly applying Forney's Formula
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93 int s = Size(errorLocations);
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94 std::vector<int> res(s);
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95 for (int i = 0; i < s; ++i) {
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96 int xiInverse = field.inverse(errorLocations[i]);
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97 int denom = 1;
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98 for (int j = 0; j < s; ++j)
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99 if (i != j)
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100 denom = field.multiply(denom, 1 ^ field.multiply(errorLocations[j], xiInverse));
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101 res[i] = field.multiply(errorEvaluator.evaluateAt(xiInverse), field.inverse(denom));
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102 if (field.generatorBase() != 0)
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103 res[i] = field.multiply(res[i], xiInverse);
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104 }
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105 return res;
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106 }
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107
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108 bool
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109 ReedSolomonDecode(const GenericGF& field, std::vector<int>& message, int numECCodeWords)
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110 {
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111 GenericGFPoly poly(field, message);
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112
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113 std::vector<int> syndromes(numECCodeWords);
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114 for (int i = 0; i < numECCodeWords; i++)
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115 syndromes[numECCodeWords - 1 - i] = poly.evaluateAt(field.exp(i + field.generatorBase()));
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116
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117 // if all syndromes are 0 there is no error to correct
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118 if (std::all_of(syndromes.begin(), syndromes.end(), [](int c) { return c == 0; }))
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119 return true;
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120
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121 ZX_THREAD_LOCAL GenericGFPoly sigma, omega;
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122
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123 if (!RunEuclideanAlgorithm(field, std::move(syndromes), sigma, omega))
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124 return false;
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125
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126 auto errorLocations = FindErrorLocations(field, sigma);
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127 if (errorLocations.empty())
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128 return false;
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129
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130 auto errorMagnitudes = FindErrorMagnitudes(field, omega, errorLocations);
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131
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132 int msgLen = Size(message);
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133 for (int i = 0; i < Size(errorLocations); ++i) {
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134 int position = msgLen - 1 - field.log(errorLocations[i]);
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135 if (position < 0)
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136 return false;
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137
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138 message[position] ^= errorMagnitudes[i];
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139 }
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140 return true;
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141 }
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142
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143 } // namespace ZXing