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annotate libtommath/tommath_private.h @ 1890:45e552ee4391

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author Matt Johnston <matt@ucc.asn.au>
date Tue, 22 Mar 2022 16:17:47 +0800
parents 1051e4eea25a
children
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1 /* LibTomMath, multiple-precision integer library -- Tom St Denis */
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2 /* SPDX-License-Identifier: Unlicense */
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3
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4 #ifndef TOMMATH_PRIV_H_
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5 #define TOMMATH_PRIV_H_
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6
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7 #include "tommath.h"
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8 #include "tommath_class.h"
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9
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10 /*
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11 * Private symbols
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12 * ---------------
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13 *
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14 * On Unix symbols can be marked as hidden if libtommath is compiled
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15 * as a shared object. By default, symbols are visible.
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16 * As of now, this feature is opt-in via the MP_PRIVATE_SYMBOLS define.
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17 *
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18 * On Win32 a .def file must be used to specify the exported symbols.
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19 */
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20 #if defined (MP_PRIVATE_SYMBOLS) && defined(__GNUC__) && __GNUC__ >= 4
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21 # define MP_PRIVATE __attribute__ ((visibility ("hidden")))
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22 #else
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23 # define MP_PRIVATE
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24 #endif
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25
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26 /* Hardening libtommath
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27 * --------------------
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28 *
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29 * By default memory is zeroed before calling
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30 * MP_FREE to avoid leaking data. This is good
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31 * practice in cryptographical applications.
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32 *
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33 * Note however that memory allocators used
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34 * in cryptographical applications can often
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35 * be configured by itself to clear memory,
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36 * rendering the clearing in tommath unnecessary.
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37 * See for example https://github.com/GrapheneOS/hardened_malloc
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38 * and the option CONFIG_ZERO_ON_FREE.
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39 *
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40 * Furthermore there are applications which
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41 * value performance more and want this
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42 * feature to be disabled. For such applications
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43 * define MP_NO_ZERO_ON_FREE during compilation.
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44 */
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45 #ifdef MP_NO_ZERO_ON_FREE
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46 # define MP_FREE_BUFFER(mem, size) MP_FREE((mem), (size))
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47 # define MP_FREE_DIGITS(mem, digits) MP_FREE((mem), sizeof (mp_digit) * (size_t)(digits))
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48 #else
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49 # define MP_FREE_BUFFER(mem, size) \
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50 do { \
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51 size_t fs_ = (size); \
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52 void* fm_ = (mem); \
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53 if (fm_ != NULL) { \
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54 MP_ZERO_BUFFER(fm_, fs_); \
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55 MP_FREE(fm_, fs_); \
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56 } \
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57 } while (0)
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58 # define MP_FREE_DIGITS(mem, digits) \
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59 do { \
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60 int fd_ = (digits); \
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61 void* fm_ = (mem); \
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62 if (fm_ != NULL) { \
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63 size_t fs_ = sizeof (mp_digit) * (size_t)fd_; \
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64 MP_ZERO_BUFFER(fm_, fs_); \
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65 MP_FREE(fm_, fs_); \
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66 } \
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67 } while (0)
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68 #endif
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69
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70 #ifdef MP_USE_MEMSET
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71 # include <string.h>
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72 # define MP_ZERO_BUFFER(mem, size) memset((mem), 0, (size))
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73 # define MP_ZERO_DIGITS(mem, digits) \
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74 do { \
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75 int zd_ = (digits); \
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76 if (zd_ > 0) { \
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77 memset((mem), 0, sizeof(mp_digit) * (size_t)zd_); \
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78 } \
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79 } while (0)
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80 #else
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81 # define MP_ZERO_BUFFER(mem, size) \
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82 do { \
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83 size_t zs_ = (size); \
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84 char* zm_ = (char*)(mem); \
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85 while (zs_-- > 0u) { \
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86 *zm_++ = '\0'; \
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87 } \
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88 } while (0)
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89 # define MP_ZERO_DIGITS(mem, digits) \
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90 do { \
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91 int zd_ = (digits); \
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92 mp_digit* zm_ = (mem); \
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93 while (zd_-- > 0) { \
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94 *zm_++ = 0; \
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95 } \
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96 } while (0)
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97 #endif
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98
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99 /* Tunable cutoffs
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100 * ---------------
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101 *
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102 * - In the default settings, a cutoff X can be modified at runtime
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103 * by adjusting the corresponding X_CUTOFF variable.
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104 *
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105 * - Tunability of the library can be disabled at compile time
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106 * by defining the MP_FIXED_CUTOFFS macro.
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107 *
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108 * - There is an additional file tommath_cutoffs.h, which defines
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109 * the default cutoffs. These can be adjusted manually or by the
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110 * autotuner.
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111 *
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112 */
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113
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114 #ifdef MP_FIXED_CUTOFFS
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115 # include "tommath_cutoffs.h"
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116 # define MP_KARATSUBA_MUL_CUTOFF MP_DEFAULT_KARATSUBA_MUL_CUTOFF
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117 # define MP_KARATSUBA_SQR_CUTOFF MP_DEFAULT_KARATSUBA_SQR_CUTOFF
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118 # define MP_TOOM_MUL_CUTOFF MP_DEFAULT_TOOM_MUL_CUTOFF
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119 # define MP_TOOM_SQR_CUTOFF MP_DEFAULT_TOOM_SQR_CUTOFF
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120 #else
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121 # define MP_KARATSUBA_MUL_CUTOFF KARATSUBA_MUL_CUTOFF
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122 # define MP_KARATSUBA_SQR_CUTOFF KARATSUBA_SQR_CUTOFF
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123 # define MP_TOOM_MUL_CUTOFF TOOM_MUL_CUTOFF
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124 # define MP_TOOM_SQR_CUTOFF TOOM_SQR_CUTOFF
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125 #endif
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126
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127 /* define heap macros */
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128 #ifndef MP_MALLOC
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129 /* default to libc stuff */
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130 # include <stdlib.h>
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131 # define MP_MALLOC(size) malloc(size)
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132 # define MP_REALLOC(mem, oldsize, newsize) realloc((mem), (newsize))
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133 # define MP_CALLOC(nmemb, size) calloc((nmemb), (size))
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134 # define MP_FREE(mem, size) free(mem)
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135 #else
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136 /* prototypes for our heap functions */
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137 extern void *MP_MALLOC(size_t size);
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138 extern void *MP_REALLOC(void *mem, size_t oldsize, size_t newsize);
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139 extern void *MP_CALLOC(size_t nmemb, size_t size);
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140 extern void MP_FREE(void *mem, size_t size);
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141 #endif
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142
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143 /* feature detection macro */
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144 #ifdef _MSC_VER
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145 /* Prevent false positive: not enough arguments for function-like macro invocation */
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146 #pragma warning(disable: 4003)
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147 #endif
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148 #define MP_STRINGIZE(x) MP__STRINGIZE(x)
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149 #define MP__STRINGIZE(x) ""#x""
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150 #define MP_HAS(x) (sizeof(MP_STRINGIZE(BN_##x##_C)) == 1u)
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151
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152 /* TODO: Remove private_mp_word as soon as deprecated mp_word is removed from tommath. */
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153 #undef mp_word
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154 typedef private_mp_word mp_word;
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155
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156 #define MP_MIN(x, y) (((x) < (y)) ? (x) : (y))
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157 #define MP_MAX(x, y) (((x) > (y)) ? (x) : (y))
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158
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159 /* Static assertion */
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160 #define MP_STATIC_ASSERT(msg, cond) typedef char mp_static_assert_##msg[(cond) ? 1 : -1];
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161
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162 /* ---> Basic Manipulations <--- */
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163 #define MP_IS_ZERO(a) ((a)->used == 0)
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164 #define MP_IS_EVEN(a) (((a)->used == 0) || (((a)->dp[0] & 1u) == 0u))
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165 #define MP_IS_ODD(a) (((a)->used > 0) && (((a)->dp[0] & 1u) == 1u))
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166
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167 #define MP_SIZEOF_BITS(type) ((size_t)CHAR_BIT * sizeof(type))
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168 #define MP_MAXFAST (int)(1uL << (MP_SIZEOF_BITS(mp_word) - (2u * (size_t)MP_DIGIT_BIT)))
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169
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170 /* TODO: Remove PRIVATE_MP_WARRAY as soon as deprecated MP_WARRAY is removed from tommath.h */
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171 #undef MP_WARRAY
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172 #define MP_WARRAY PRIVATE_MP_WARRAY
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173
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174 /* TODO: Remove PRIVATE_MP_PREC as soon as deprecated MP_PREC is removed from tommath.h */
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175 #ifdef PRIVATE_MP_PREC
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176 # undef MP_PREC
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177 # define MP_PREC PRIVATE_MP_PREC
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178 #endif
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179
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180 /* Minimum number of available digits in mp_int, MP_PREC >= MP_MIN_PREC */
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181 #define MP_MIN_PREC ((((int)MP_SIZEOF_BITS(long long) + MP_DIGIT_BIT) - 1) / MP_DIGIT_BIT)
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182
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183 MP_STATIC_ASSERT(prec_geq_min_prec, MP_PREC >= MP_MIN_PREC)
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184
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185 /* random number source */
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186 extern MP_PRIVATE mp_err(*s_mp_rand_source)(void *out, size_t size);
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187
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188 /* lowlevel functions, do not call! */
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189 MP_PRIVATE mp_bool s_mp_get_bit(const mp_int *a, unsigned int b);
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190 MP_PRIVATE mp_err s_mp_add(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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191 MP_PRIVATE mp_err s_mp_sub(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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192 MP_PRIVATE mp_err s_mp_mul_digs_fast(const mp_int *a, const mp_int *b, mp_int *c, int digs) MP_WUR;
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193 MP_PRIVATE mp_err s_mp_mul_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) MP_WUR;
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194 MP_PRIVATE mp_err s_mp_mul_high_digs_fast(const mp_int *a, const mp_int *b, mp_int *c, int digs) MP_WUR;
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195 MP_PRIVATE mp_err s_mp_mul_high_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) MP_WUR;
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196 MP_PRIVATE mp_err s_mp_sqr_fast(const mp_int *a, mp_int *b) MP_WUR;
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197 MP_PRIVATE mp_err s_mp_sqr(const mp_int *a, mp_int *b) MP_WUR;
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198 MP_PRIVATE mp_err s_mp_balance_mul(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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199 MP_PRIVATE mp_err s_mp_karatsuba_mul(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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200 MP_PRIVATE mp_err s_mp_toom_mul(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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201 MP_PRIVATE mp_err s_mp_karatsuba_sqr(const mp_int *a, mp_int *b) MP_WUR;
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202 MP_PRIVATE mp_err s_mp_toom_sqr(const mp_int *a, mp_int *b) MP_WUR;
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203 MP_PRIVATE mp_err s_mp_invmod_fast(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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204 MP_PRIVATE mp_err s_mp_invmod_slow(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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205 MP_PRIVATE mp_err s_mp_montgomery_reduce_fast(mp_int *x, const mp_int *n, mp_digit rho) MP_WUR;
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206 MP_PRIVATE mp_err s_mp_exptmod_fast(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, int redmode) MP_WUR;
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207 MP_PRIVATE mp_err s_mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, int redmode) MP_WUR;
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208 MP_PRIVATE mp_err s_mp_rand_platform(void *p, size_t n) MP_WUR;
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209 MP_PRIVATE mp_err s_mp_prime_random_ex(mp_int *a, int t, int size, int flags, private_mp_prime_callback cb, void *dat);
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210 MP_PRIVATE void s_mp_reverse(unsigned char *s, size_t len);
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211 MP_PRIVATE mp_err s_mp_prime_is_divisible(const mp_int *a, mp_bool *result);
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212
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213 /* TODO: jenkins prng is not thread safe as of now */
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214 MP_PRIVATE mp_err s_mp_rand_jenkins(void *p, size_t n) MP_WUR;
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215 MP_PRIVATE void s_mp_rand_jenkins_init(uint64_t seed);
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216
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217 extern MP_PRIVATE const char *const mp_s_rmap;
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218 extern MP_PRIVATE const uint8_t mp_s_rmap_reverse[];
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219 extern MP_PRIVATE const size_t mp_s_rmap_reverse_sz;
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220 extern MP_PRIVATE const mp_digit *s_mp_prime_tab;
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221
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222 /* deprecated functions */
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223 MP_DEPRECATED(s_mp_invmod_fast) mp_err fast_mp_invmod(const mp_int *a, const mp_int *b, mp_int *c);
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224 MP_DEPRECATED(s_mp_montgomery_reduce_fast) mp_err fast_mp_montgomery_reduce(mp_int *x, const mp_int *n,
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225 mp_digit rho);
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226 MP_DEPRECATED(s_mp_mul_digs_fast) mp_err fast_s_mp_mul_digs(const mp_int *a, const mp_int *b, mp_int *c,
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227 int digs);
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228 MP_DEPRECATED(s_mp_mul_high_digs_fast) mp_err fast_s_mp_mul_high_digs(const mp_int *a, const mp_int *b,
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229 mp_int *c,
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230 int digs);
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231 MP_DEPRECATED(s_mp_sqr_fast) mp_err fast_s_mp_sqr(const mp_int *a, mp_int *b);
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232 MP_DEPRECATED(s_mp_balance_mul) mp_err mp_balance_mul(const mp_int *a, const mp_int *b, mp_int *c);
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233 MP_DEPRECATED(s_mp_exptmod_fast) mp_err mp_exptmod_fast(const mp_int *G, const mp_int *X, const mp_int *P,
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234 mp_int *Y,
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235 int redmode);
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236 MP_DEPRECATED(s_mp_invmod_slow) mp_err mp_invmod_slow(const mp_int *a, const mp_int *b, mp_int *c);
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237 MP_DEPRECATED(s_mp_karatsuba_mul) mp_err mp_karatsuba_mul(const mp_int *a, const mp_int *b, mp_int *c);
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238 MP_DEPRECATED(s_mp_karatsuba_sqr) mp_err mp_karatsuba_sqr(const mp_int *a, mp_int *b);
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239 MP_DEPRECATED(s_mp_toom_mul) mp_err mp_toom_mul(const mp_int *a, const mp_int *b, mp_int *c);
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240 MP_DEPRECATED(s_mp_toom_sqr) mp_err mp_toom_sqr(const mp_int *a, mp_int *b);
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241 MP_DEPRECATED(s_mp_reverse) void bn_reverse(unsigned char *s, int len);
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242
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243 #define MP_GET_ENDIANNESS(x) \
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244 do{\
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245 int16_t n = 0x1; \
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246 char *p = (char *)&n; \
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247 x = (p[0] == '\x01') ? MP_LITTLE_ENDIAN : MP_BIG_ENDIAN; \
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248 } while (0)
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249
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250 /* code-generating macros */
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251 #define MP_SET_UNSIGNED(name, type) \
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252 void name(mp_int * a, type b) \
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253 { \
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254 int i = 0; \
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255 while (b != 0u) { \
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256 a->dp[i++] = ((mp_digit)b & MP_MASK); \
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257 if (MP_SIZEOF_BITS(type) <= MP_DIGIT_BIT) { break; } \
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258 b >>= ((MP_SIZEOF_BITS(type) <= MP_DIGIT_BIT) ? 0 : MP_DIGIT_BIT); \
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259 } \
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260 a->used = i; \
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261 a->sign = MP_ZPOS; \
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262 MP_ZERO_DIGITS(a->dp + a->used, a->alloc - a->used); \
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263 }
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264
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265 #define MP_SET_SIGNED(name, uname, type, utype) \
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266 void name(mp_int * a, type b) \
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267 { \
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268 uname(a, (b < 0) ? -(utype)b : (utype)b); \
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269 if (b < 0) { a->sign = MP_NEG; } \
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270 }
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271
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272 #define MP_INIT_INT(name , set, type) \
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273 mp_err name(mp_int * a, type b) \
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274 { \
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275 mp_err err; \
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276 if ((err = mp_init(a)) != MP_OKAY) { \
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277 return err; \
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278 } \
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279 set(a, b); \
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280 return MP_OKAY; \
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281 }
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282
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283 #define MP_GET_MAG(name, type) \
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284 type name(const mp_int* a) \
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285 { \
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286 unsigned i = MP_MIN((unsigned)a->used, (unsigned)((MP_SIZEOF_BITS(type) + MP_DIGIT_BIT - 1) / MP_DIGIT_BIT)); \
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287 type res = 0u; \
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288 while (i --> 0u) { \
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289 res <<= ((MP_SIZEOF_BITS(type) <= MP_DIGIT_BIT) ? 0 : MP_DIGIT_BIT); \
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290 res |= (type)a->dp[i]; \
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291 if (MP_SIZEOF_BITS(type) <= MP_DIGIT_BIT) { break; } \
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292 } \
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293 return res; \
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294 }
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295
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296 #define MP_GET_SIGNED(name, mag, type, utype) \
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297 type name(const mp_int* a) \
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298 { \
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299 utype res = mag(a); \
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300 return (a->sign == MP_NEG) ? (type)-res : (type)res; \
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301 }
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302
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303 #endif