Mercurial > hgrepos > Python2 > PyMuPDF

annotate mupdf-source/thirdparty/zxing-cpp/core/src/GenericGF.h @ 33:c4daa0c83d64

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author Franz Glasner <fzglas.hg@dom66.de>
date Sun, 21 Sep 2025 17:55:13 +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 */
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5 // SPDX-License-Identifier: Apache-2.0
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7 #pragma once
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9 #include "GenericGFPoly.h"
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10 #include "ZXConfig.h"
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12 #include <stdexcept>
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13 #include <vector>
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15 namespace ZXing {
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17 /**
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18 * <p>This class contains utility methods for performing mathematical operations over
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19 * the Galois Fields. Operations use a given primitive polynomial in calculations.</p>
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20 *
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21 * <p>Throughout this package, elements of the GF are represented as an {@code int}
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22 * for convenience and speed (but at the cost of memory).
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23 * </p>
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24 *
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25 * @author Sean Owen
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26 * @author David Olivier
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27 */
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28 class GenericGF
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29 {
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30 const int _size;
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31 int _generatorBase;
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32 std::vector<short> _expTable;
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33 std::vector<short> _logTable;
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35 /**
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36 * Create a representation of GF(size) using the given primitive polynomial.
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37 *
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38 * @param primitive irreducible polynomial whose coefficients are represented by
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39 * the bits of an int, where the least-significant bit represents the constant
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40 * coefficient
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41 * @param size the size of the field (m = log2(size) is called the word size of the encoding)
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42 * @param b the factor b in the generator polynomial can be 0- or 1-based
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43 * (g(x) = (x+a^b)(x+a^(b+1))...(x+a^(b+2t-1))).
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44 * In most cases it should be 1, but for QR code it is 0.
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45 */
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46 GenericGF(int primitive, int size, int b);
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47
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48 public:
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49 static const GenericGF& AztecData12();
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50 static const GenericGF& AztecData10();
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51 static const GenericGF& AztecData6();
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52 static const GenericGF& AztecParam();
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53 static const GenericGF& QRCodeField256();
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54 static const GenericGF& DataMatrixField256();
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55 static const GenericGF& AztecData8();
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56 static const GenericGF& MaxiCodeField64();
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57
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58 // note: replaced addOrSubstract calls with '^' / '^='. everyone trying to understand this code needs to look into
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59 // Galois Fields with characteristic 2 and will then understand that XOR is addition/subtraction. And those
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60 // operators are way more readable than a noisy member function name
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61
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62 /**
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63 * @return 2 to the power of a in GF(size)
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64 */
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65 int exp(int a) const {
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66 return _expTable.at(a);
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67 }
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69 /**
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70 * @return base 2 log of a in GF(size)
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71 */
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72 int log(int a) const {
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73 if (a == 0) {
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74 throw std::invalid_argument("a == 0");
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75 }
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76 return _logTable.at(a);
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77 }
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78
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79 /**
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80 * @return multiplicative inverse of a
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81 */
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82 int inverse(int a) const {
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83 return _expTable[_size - log(a) - 1];
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84 }
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85
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86 /**
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87 * @return product of a and b in GF(size)
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88 */
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89 int multiply(int a, int b) const noexcept {
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90 if (a == 0 || b == 0)
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91 return 0;
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92
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93 #ifdef ZX_REED_SOLOMON_USE_MORE_MEMORY_FOR_SPEED
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94 return _expTable[_logTable[a] + _logTable[b]];
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95 #else
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96 auto fast_mod = [](const int input, const int ceil) {
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97 // avoid using the '%' modulo operator => ReedSolomon computation is more than twice as fast
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98 // see also https://stackoverflow.com/a/33333636/2088798
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99 return input < ceil ? input : input - ceil;
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100 };
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101 return _expTable[fast_mod(_logTable[a] + _logTable[b], _size - 1)];
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102 #endif
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103 }
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104
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105 int size() const noexcept {
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106 return _size;
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107 }
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108
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109 int generatorBase() const noexcept {
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110 return _generatorBase;
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111 }
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112 };
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113
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114 } // namespace ZXing