Mercurial > hgrepos > Python2 > PyMuPDF

annotate mupdf-source/thirdparty/zxing-cpp/core/src/GenericGFPoly.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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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 "GenericGFPoly.h"
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10 #include "GenericGF.h"
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11 #include "ZXAlgorithms.h"
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13 #include <algorithm>
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14 #include <cassert>
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15 #include <stdexcept>
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17 namespace ZXing {
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19 int
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20 GenericGFPoly::evaluateAt(int a) const
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21 {
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22 if (a == 0) // return the x^0 coefficient
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23 return constant();
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25 if (a == 1) // return the sum of the coefficients
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26 return Reduce(_coefficients, 0, [](auto s, auto c) { return s ^ c; });
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28 return std::accumulate(_coefficients.begin(), _coefficients.end(), 0,
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29 [this, a](auto s, auto c) { return _field->multiply(a, s) ^ c; });
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30 }
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32 GenericGFPoly& GenericGFPoly::addOrSubtract(GenericGFPoly& other)
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33 {
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34 assert(_field == other._field); // "GenericGFPolys do not have same GenericGF field"
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36 if (isZero()) {
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37 swap(*this, other);
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38 return *this;
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39 }
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41 if (other.isZero())
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42 return *this;
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44 auto& smallerCoefs = other._coefficients;
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45 auto& largerCoefs = _coefficients;
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46 if (smallerCoefs.size() > largerCoefs.size())
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47 std::swap(smallerCoefs, largerCoefs);
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49 size_t lengthDiff = largerCoefs.size() - smallerCoefs.size();
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51 // high-order terms only found in higher-degree polynomial's coefficients stay untouched
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52 for (size_t i = lengthDiff; i < largerCoefs.size(); ++i)
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53 largerCoefs[i] ^= smallerCoefs[i - lengthDiff];
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55 normalize();
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56 return *this;
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57 }
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59 GenericGFPoly&
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60 GenericGFPoly::multiply(const GenericGFPoly& other)
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61 {
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62 assert(_field == other._field); // "GenericGFPolys do not have same GenericGF field"
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64 if (isZero() || other.isZero())
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65 return setMonomial(0);
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67 auto& a = _coefficients;
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68 auto& b = other._coefficients;
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70 // To disable the use of the malloc cache, simply uncomment:
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71 // Coefficients _cache;
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72 _cache.resize(a.size() + b.size() - 1);
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73 std::fill(_cache.begin(), _cache.end(), 0);
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74 for (size_t i = 0; i < a.size(); ++i)
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75 for (size_t j = 0; j < b.size(); ++j)
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76 _cache[i + j] ^= _field->multiply(a[i], b[j]);
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78 _coefficients.swap(_cache);
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80 normalize();
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81 return *this;
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82 }
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84 GenericGFPoly&
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85 GenericGFPoly::multiplyByMonomial(int coefficient, int degree)
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86 {
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87 assert(degree >= 0);
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89 if (coefficient == 0)
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90 return setMonomial(0);
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92 for (int& c : _coefficients)
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93 c = _field->multiply(c, coefficient);
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95 _coefficients.resize(_coefficients.size() + degree, 0);
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97 normalize();
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98 return *this;
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99 }
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101 GenericGFPoly&
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102 GenericGFPoly::divide(const GenericGFPoly& other, GenericGFPoly& quotient)
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103 {
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104 assert(_field == other._field); // "GenericGFPolys do not have same GenericGF field"
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105
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106 if (other.isZero())
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107 throw std::invalid_argument("Divide by 0");
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108
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109 quotient.setField(*_field);
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110 if (degree() < other.degree()) {
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111 // the remainder is this and the quotient is 0
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112 quotient.setMonomial(0);
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113 return *this;
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114 }
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115
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116 // use Expanded Synthetic Division (see https://en.wikiversity.org/wiki/Reed%E2%80%93Solomon_codes_for_coders):
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117 // we use the memory from this (the dividend) and swap it with quotient, which will then accumulate the result as
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118 // [quotient : remainder]. we later copy back the remainder into this and shorten the quotient.
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119 std::swap(*this, quotient);
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120 auto& divisor = other._coefficients;
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121 auto& result = quotient._coefficients;
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122 auto normalizer = _field->inverse(divisor[0]);
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123 for (int i = 0; i < Size(result) - (Size(divisor) - 1); ++i) {
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124 auto& ci = result[i];
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125 if (ci == 0)
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126 continue;
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127
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128 ci = _field->multiply(ci, normalizer);
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129
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130 // we always skip the first coefficient of the divisor, because it's only used to normalize the dividend coefficient
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131 for (int j = 1; j < Size(divisor); ++j)
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132 result[i + j] ^= _field->multiply(divisor[j], ci); // equivalent to: result[i + j] += -divisor[j] * ci
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133 }
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134
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135 // extract the normalized remainder from result
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136 auto firstNonZero = std::find_if(result.end() - other.degree(), result.end(), [](int c){ return c != 0; });
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137 if (firstNonZero == result.end()) {
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138 setMonomial(0);
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139 } else {
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140 _coefficients.resize(result.end() - firstNonZero);
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141 std::copy(firstNonZero, result.end(), _coefficients.begin());
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142 }
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143 // cut off the tail with the remainder to leave the quotient
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144 result.resize(result.size() - other.degree());
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145
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146 return *this;
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147 }
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148
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149 void GenericGFPoly::normalize()
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150 {
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151 auto firstNonZero = FindIf(_coefficients, [](int c){ return c != 0; });
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152 // Leading term must be non-zero for anything except the constant polynomial "0"
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153 if (firstNonZero != _coefficients.begin()) {
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154 if (firstNonZero == _coefficients.end()) {
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155 _coefficients.resize(1, 0);
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156 } else {
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157 std::copy(firstNonZero, _coefficients.end(), _coefficients.begin());
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158 _coefficients.resize(_coefficients.end() - firstNonZero);
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159 }
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160 }
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161 }
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162
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163 } // namespace ZXing