1 | /* integer.h
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2 | *
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3 | * Copyright (C) 2006-2017 wolfSSL Inc.
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4 | *
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5 | * This file is part of wolfSSL.
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6 | *
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7 | * wolfSSL is free software; you can redistribute it and/or modify
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8 | * it under the terms of the GNU General Public License as published by
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9 | * the Free Software Foundation; either version 2 of the License, or
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10 | * (at your option) any later version.
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11 | *
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12 | * wolfSSL is distributed in the hope that it will be useful,
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13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of
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14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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15 | * GNU General Public License for more details.
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16 | *
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17 | * You should have received a copy of the GNU General Public License
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18 | * along with this program; if not, write to the Free Software
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19 | * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1335, USA
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20 | */
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21 |
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22 |
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23 | /*
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24 | * Based on public domain LibTomMath 0.38 by Tom St Denis, tomstdenis@iahu.ca,
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25 | * http://math.libtomcrypt.com
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26 | */
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27 |
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28 |
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29 | #ifndef WOLF_CRYPT_INTEGER_H
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30 | #define WOLF_CRYPT_INTEGER_H
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31 |
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32 | /* may optionally use fast math instead, not yet supported on all platforms and
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33 | may not be faster on all
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34 | */
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35 | #include <wolfssl/wolfcrypt/types.h> /* will set MP_xxBIT if not default */
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36 | #ifdef WOLFSSL_SP_MATH
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37 | #include <wolfssl/wolfcrypt/sp_int.h>
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38 | #elif defined(USE_FAST_MATH)
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39 | #include <wolfssl/wolfcrypt/tfm.h>
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40 | #else
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41 |
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42 | #include <wolfssl/wolfcrypt/random.h>
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43 |
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44 | #ifndef CHAR_BIT
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45 | #include <limits.h>
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46 | #endif
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47 |
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48 | #include <wolfssl/wolfcrypt/mpi_class.h>
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49 |
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50 | /* wolf big int and common functions */
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51 | #include <wolfssl/wolfcrypt/wolfmath.h>
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52 |
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53 |
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54 | #ifdef WOLFSSL_PUBLIC_MP
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55 | #define MP_API WOLFSSL_API
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56 | #else
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57 | #define MP_API
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58 | #endif
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59 |
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60 | #ifndef MIN
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61 | #define MIN(x,y) ((x)<(y)?(x):(y))
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62 | #endif
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63 |
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64 | #ifndef MAX
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65 | #define MAX(x,y) ((x)>(y)?(x):(y))
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66 | #endif
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67 |
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68 | #ifdef __cplusplus
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69 | extern "C" {
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70 |
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71 | /* C++ compilers don't like assigning void * to mp_digit * */
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72 | #define OPT_CAST(x) (x *)
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73 |
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74 | #elif defined(_SH3)
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75 |
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76 | /* SuperH SH3 compiler doesn't like assigning voi* to mp_digit* */
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77 | #define OPT_CAST(x) (x *)
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78 |
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79 | #else
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80 |
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81 | /* C on the other hand doesn't care */
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82 | #define OPT_CAST(x)
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83 |
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84 | #endif /* __cplusplus */
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85 |
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86 |
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87 | /* detect 64-bit mode if possible */
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88 | #if defined(__x86_64__)
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89 | #if !(defined(MP_64BIT) && defined(MP_16BIT) && defined(MP_8BIT))
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90 | #define MP_64BIT
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91 | #endif
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92 | #endif
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93 | /* if intel compiler doesn't provide 128 bit type don't turn on 64bit */
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94 | #if defined(MP_64BIT) && defined(__INTEL_COMPILER) && !defined(HAVE___UINT128_T)
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95 | #undef MP_64BIT
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96 | #endif
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97 |
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98 |
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99 | /* allow user to define on mp_digit, mp_word, DIGIT_BIT types */
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100 | #ifndef WOLFSSL_BIGINT_TYPES
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101 |
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102 | /* some default configurations.
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103 | *
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104 | * A "mp_digit" must be able to hold DIGIT_BIT + 1 bits
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105 | * A "mp_word" must be able to hold 2*DIGIT_BIT + 1 bits
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106 | *
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107 | * At the very least a mp_digit must be able to hold 7 bits
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108 | * [any size beyond that is ok provided it doesn't overflow the data type]
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109 | */
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110 | #ifdef MP_8BIT
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111 | typedef unsigned char mp_digit;
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112 | typedef unsigned short mp_word;
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113 | #elif defined(MP_16BIT) || defined(NO_64BIT)
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114 | typedef unsigned short mp_digit;
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115 | typedef unsigned int mp_word;
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116 | #define DIGIT_BIT 12
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117 | #elif defined(MP_64BIT)
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118 | /* for GCC only on supported platforms */
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119 | typedef unsigned long long mp_digit; /* 64 bit type, 128 uses mode(TI) */
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120 | typedef unsigned long mp_word __attribute__ ((mode(TI)));
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121 |
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122 | #define DIGIT_BIT 60
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123 | #else
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124 | /* this is the default case, 28-bit digits */
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125 |
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126 | #if defined(_MSC_VER) || defined(__BORLANDC__)
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127 | typedef unsigned __int64 ulong64;
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128 | #else
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129 | typedef unsigned long long ulong64;
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130 | #endif
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131 |
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132 | typedef unsigned int mp_digit; /* long could be 64 now, changed TAO */
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133 | typedef ulong64 mp_word;
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134 |
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135 | #ifdef MP_31BIT
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136 | /* this is an extension that uses 31-bit digits */
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137 | #define DIGIT_BIT 31
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138 | #else
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139 | /* default case is 28-bit digits, defines MP_28BIT as a handy test macro */
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140 | #define DIGIT_BIT 28
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141 | #define MP_28BIT
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142 | #endif
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143 | #endif
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144 |
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145 | #endif /* WOLFSSL_BIGINT_TYPES */
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146 |
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147 | /* otherwise the bits per digit is calculated automatically from the size of
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148 | a mp_digit */
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149 | #ifndef DIGIT_BIT
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150 | #define DIGIT_BIT ((int)((CHAR_BIT * sizeof(mp_digit) - 1)))
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151 | /* bits per digit */
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152 | #endif
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153 |
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154 | #define MP_DIGIT_BIT DIGIT_BIT
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155 | #define MP_MASK ((((mp_digit)1)<<((mp_digit)DIGIT_BIT))-((mp_digit)1))
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156 | #define MP_DIGIT_MAX MP_MASK
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157 |
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158 | /* equalities */
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159 | #define MP_LT -1 /* less than */
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160 | #define MP_EQ 0 /* equal to */
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161 | #define MP_GT 1 /* greater than */
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162 |
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163 | #define MP_ZPOS 0 /* positive integer */
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164 | #define MP_NEG 1 /* negative */
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165 |
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166 | #define MP_OKAY 0 /* ok result */
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167 | #define MP_MEM -2 /* out of mem */
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168 | #define MP_VAL -3 /* invalid input */
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169 | #define MP_NOT_INF -4 /* point not at infinity */
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170 | #define MP_RANGE MP_NOT_INF
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171 |
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172 | #define MP_YES 1 /* yes response */
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173 | #define MP_NO 0 /* no response */
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174 |
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175 | /* Primality generation flags */
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176 | #define LTM_PRIME_BBS 0x0001 /* BBS style prime */
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177 | #define LTM_PRIME_SAFE 0x0002 /* Safe prime (p-1)/2 == prime */
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178 | #define LTM_PRIME_2MSB_ON 0x0008 /* force 2nd MSB to 1 */
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179 |
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180 | typedef int mp_err;
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181 |
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182 | /* define this to use lower memory usage routines (exptmods mostly) */
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183 | #define MP_LOW_MEM
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184 |
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185 | /* default precision */
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186 | #ifndef MP_PREC
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187 | #ifndef MP_LOW_MEM
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188 | #define MP_PREC 32 /* default digits of precision */
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189 | #else
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190 | #define MP_PREC 1 /* default digits of precision */
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191 | #endif
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192 | #endif
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193 |
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194 | /* size of comba arrays, should be at least 2 * 2**(BITS_PER_WORD -
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195 | BITS_PER_DIGIT*2) */
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196 | #define MP_WARRAY (1 << (sizeof(mp_word) * CHAR_BIT - 2 * DIGIT_BIT + 1))
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197 |
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198 | #ifdef HAVE_WOLF_BIGINT
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199 | struct WC_BIGINT;
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200 | #endif
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201 |
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202 | /* the mp_int structure */
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203 | typedef struct mp_int {
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204 | int used, alloc, sign;
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205 | mp_digit *dp;
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206 |
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207 | #ifdef HAVE_WOLF_BIGINT
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208 | struct WC_BIGINT raw; /* unsigned binary (big endian) */
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209 | #endif
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210 | } mp_int;
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211 | #define MP_INT_DEFINED
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212 |
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213 | /* callback for mp_prime_random, should fill dst with random bytes and return
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214 | how many read [up to len] */
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215 | typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat);
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216 |
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217 |
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218 | #define USED(m) ((m)->used)
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219 | #define DIGIT(m,k) ((m)->dp[(k)])
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220 | #define SIGN(m) ((m)->sign)
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221 |
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222 |
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223 | /* ---> Basic Manipulations <--- */
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224 | #define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO)
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225 | #define mp_isone(a) \
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226 | (((((a)->used == 1)) && ((a)->dp[0] == 1u)) ? MP_YES : MP_NO)
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227 | #define mp_iseven(a) \
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228 | (((a)->used > 0 && (((a)->dp[0] & 1u) == 0u)) ? MP_YES : MP_NO)
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229 | #define mp_isodd(a) \
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230 | (((a)->used > 0 && (((a)->dp[0] & 1u) == 1u)) ? MP_YES : MP_NO)
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231 | #define mp_isneg(a) (((a)->sign != MP_ZPOS) ? MP_YES : MP_NO)
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232 |
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233 | /* number of primes */
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234 | #ifdef MP_8BIT
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235 | #define PRIME_SIZE 31
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236 | #else
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237 | #define PRIME_SIZE 256
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238 | #endif
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239 |
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240 | #ifndef MAX_INVMOD_SZ
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241 | #if defined(WOLFSSL_MYSQL_COMPATIBLE)
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242 | #define MAX_INVMOD_SZ 8192
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243 | #else
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244 | #define MAX_INVMOD_SZ 4096
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245 | #endif
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246 | #endif
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247 |
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248 | #define mp_prime_random(a, t, size, bbs, cb, dat) \
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249 | mp_prime_random_ex(a, t, ((size) * 8) + 1, (bbs==1)?LTM_PRIME_BBS:0, cb, dat)
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250 |
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251 | #define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len))
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252 | #define mp_raw_size(mp) mp_signed_bin_size(mp)
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253 | #define mp_toraw(mp, str) mp_to_signed_bin((mp), (str))
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254 | #define mp_read_mag(mp, str, len) mp_read_unsigned_bin((mp), (str), (len))
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255 | #define mp_mag_size(mp) mp_unsigned_bin_size(mp)
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256 | #define mp_tomag(mp, str) mp_to_unsigned_bin((mp), (str))
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257 |
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258 | #define MP_RADIX_BIN 2
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259 | #define MP_RADIX_OCT 8
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260 | #define MP_RADIX_DEC 10
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261 | #define MP_RADIX_HEX 16
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262 | #define MP_RADIX_MAX 64
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263 |
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264 | #define mp_tobinary(M, S) mp_toradix((M), (S), MP_RADIX_BIN)
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265 | #define mp_tooctal(M, S) mp_toradix((M), (S), MP_RADIX_OCT)
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266 | #define mp_todecimal(M, S) mp_toradix((M), (S), MP_RADIX_DEC)
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267 | #define mp_tohex(M, S) mp_toradix((M), (S), MP_RADIX_HEX)
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268 |
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269 | #define s_mp_mul(a, b, c) s_mp_mul_digs(a, b, c, (a)->used + (b)->used + 1)
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270 |
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271 | #if defined(HAVE_ECC) || defined(WOLFSSL_KEY_GEN) || defined(HAVE_COMP_KEY) || \
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272 | defined(WOLFSSL_DEBUG_MATH) || defined(DEBUG_WOLFSSL)
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273 | extern const char *mp_s_rmap;
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274 | #endif
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275 |
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276 | /* 6 functions needed by Rsa */
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277 | MP_API int mp_init (mp_int * a);
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278 | MP_API void mp_clear (mp_int * a);
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279 | MP_API void mp_free (mp_int * a);
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280 | MP_API void mp_forcezero(mp_int * a);
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281 | MP_API int mp_unsigned_bin_size(mp_int * a);
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282 | MP_API int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c);
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283 | MP_API int mp_to_unsigned_bin_at_pos(int x, mp_int *t, unsigned char *b);
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284 | MP_API int mp_to_unsigned_bin (mp_int * a, unsigned char *b);
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285 | MP_API int mp_to_unsigned_bin_len(mp_int * a, unsigned char *b, int c);
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286 | MP_API int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y);
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287 | /* end functions needed by Rsa */
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288 |
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289 | /* functions added to support above needed, removed TOOM and KARATSUBA */
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290 | MP_API int mp_count_bits (mp_int * a);
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291 | MP_API int mp_leading_bit (mp_int * a);
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292 | MP_API int mp_init_copy (mp_int * a, mp_int * b);
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293 | MP_API int mp_copy (mp_int * a, mp_int * b);
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294 | MP_API int mp_grow (mp_int * a, int size);
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295 | MP_API int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d);
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296 | MP_API void mp_zero (mp_int * a);
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297 | MP_API void mp_clamp (mp_int * a);
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298 | MP_API void mp_exch (mp_int * a, mp_int * b);
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299 | MP_API void mp_rshd (mp_int * a, int b);
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300 | MP_API void mp_rshb (mp_int * a, int b);
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301 | MP_API int mp_mod_2d (mp_int * a, int b, mp_int * c);
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302 | MP_API int mp_mul_2d (mp_int * a, int b, mp_int * c);
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303 | MP_API int mp_lshd (mp_int * a, int b);
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304 | MP_API int mp_abs (mp_int * a, mp_int * b);
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305 | MP_API int mp_invmod (mp_int * a, mp_int * b, mp_int * c);
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306 | int fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c);
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307 | MP_API int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c);
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308 | MP_API int mp_cmp_mag (mp_int * a, mp_int * b);
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309 | MP_API int mp_cmp (mp_int * a, mp_int * b);
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310 | MP_API int mp_cmp_d(mp_int * a, mp_digit b);
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311 | MP_API int mp_set (mp_int * a, mp_digit b);
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312 | MP_API int mp_is_bit_set (mp_int * a, mp_digit b);
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313 | MP_API int mp_mod (mp_int * a, mp_int * b, mp_int * c);
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314 | MP_API int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d);
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315 | MP_API int mp_div_2(mp_int * a, mp_int * b);
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316 | MP_API int mp_add (mp_int * a, mp_int * b, mp_int * c);
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317 | int s_mp_add (mp_int * a, mp_int * b, mp_int * c);
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318 | int s_mp_sub (mp_int * a, mp_int * b, mp_int * c);
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319 | MP_API int mp_sub (mp_int * a, mp_int * b, mp_int * c);
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320 | MP_API int mp_reduce_is_2k_l(mp_int *a);
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321 | MP_API int mp_reduce_is_2k(mp_int *a);
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322 | MP_API int mp_dr_is_modulus(mp_int *a);
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323 | MP_API int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y,
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324 | int);
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325 | MP_API int mp_montgomery_setup (mp_int * n, mp_digit * rho);
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326 | int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho);
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327 | MP_API int mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho);
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328 | MP_API void mp_dr_setup(mp_int *a, mp_digit *d);
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329 | MP_API int mp_dr_reduce (mp_int * x, mp_int * n, mp_digit k);
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330 | MP_API int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d);
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331 | int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs);
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332 | int s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs);
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333 | MP_API int mp_reduce_2k_setup_l(mp_int *a, mp_int *d);
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334 | MP_API int mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d);
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335 | MP_API int mp_reduce (mp_int * x, mp_int * m, mp_int * mu);
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336 | MP_API int mp_reduce_setup (mp_int * a, mp_int * b);
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337 | int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode);
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338 | MP_API int mp_montgomery_calc_normalization (mp_int * a, mp_int * b);
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339 | int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs);
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340 | int s_mp_sqr (mp_int * a, mp_int * b);
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341 | int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs);
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342 | int fast_s_mp_sqr (mp_int * a, mp_int * b);
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343 | MP_API int mp_init_size (mp_int * a, int size);
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344 | MP_API int mp_div_3 (mp_int * a, mp_int *c, mp_digit * d);
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345 | MP_API int mp_mul_2(mp_int * a, mp_int * b);
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346 | MP_API int mp_mul (mp_int * a, mp_int * b, mp_int * c);
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347 | MP_API int mp_sqr (mp_int * a, mp_int * b);
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348 | MP_API int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d);
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349 | MP_API int mp_submod (mp_int* a, mp_int* b, mp_int* c, mp_int* d);
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350 | MP_API int mp_addmod (mp_int* a, mp_int* b, mp_int* c, mp_int* d);
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351 | MP_API int mp_mul_d (mp_int * a, mp_digit b, mp_int * c);
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352 | MP_API int mp_2expt (mp_int * a, int b);
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353 | MP_API int mp_set_bit (mp_int * a, int b);
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354 | MP_API int mp_reduce_2k_setup(mp_int *a, mp_digit *d);
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355 | MP_API int mp_add_d (mp_int* a, mp_digit b, mp_int* c);
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356 | MP_API int mp_set_int (mp_int * a, unsigned long b);
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357 | MP_API int mp_sub_d (mp_int * a, mp_digit b, mp_int * c);
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358 | /* end support added functions */
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359 |
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360 | /* added */
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361 | MP_API int mp_init_multi(mp_int* a, mp_int* b, mp_int* c, mp_int* d, mp_int* e,
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362 | mp_int* f);
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363 | MP_API int mp_toradix (mp_int *a, char *str, int radix);
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364 | MP_API int mp_radix_size (mp_int * a, int radix, int *size);
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365 |
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366 | #ifdef WOLFSSL_DEBUG_MATH
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367 | MP_API void mp_dump(const char* desc, mp_int* a, byte verbose);
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368 | #else
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369 | #define mp_dump(desc, a, verbose)
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370 | #endif
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371 |
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372 | #if defined(HAVE_ECC) || defined(WOLFSSL_KEY_GEN) || !defined(NO_RSA) || \
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373 | !defined(NO_DSA) || !defined(NO_DH)
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374 | MP_API int mp_sqrmod(mp_int* a, mp_int* b, mp_int* c);
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375 | #endif
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376 | #if !defined(NO_DSA) || defined(HAVE_ECC)
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377 | MP_API int mp_read_radix(mp_int* a, const char* str, int radix);
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378 | #endif
|
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379 |
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380 | #if defined(WOLFSSL_KEY_GEN) || !defined(NO_RSA) || !defined(NO_DSA) || !defined(NO_DH)
|
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381 | MP_API int mp_prime_is_prime (mp_int * a, int t, int *result);
|
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382 | MP_API int mp_prime_is_prime_ex (mp_int * a, int t, int *result, WC_RNG*);
|
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383 | #endif /* WOLFSSL_KEY_GEN NO_RSA NO_DSA NO_DH */
|
---|
384 | #ifdef WOLFSSL_KEY_GEN
|
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385 | MP_API int mp_gcd (mp_int * a, mp_int * b, mp_int * c);
|
---|
386 | MP_API int mp_lcm (mp_int * a, mp_int * b, mp_int * c);
|
---|
387 | MP_API int mp_rand_prime(mp_int* N, int len, WC_RNG* rng, void* heap);
|
---|
388 | #endif
|
---|
389 |
|
---|
390 | MP_API int mp_cnt_lsb(mp_int *a);
|
---|
391 | MP_API int mp_mod_d(mp_int* a, mp_digit b, mp_digit* c);
|
---|
392 |
|
---|
393 |
|
---|
394 | /* wolf big int and common functions */
|
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395 | #include <wolfssl/wolfcrypt/wolfmath.h>
|
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396 |
|
---|
397 |
|
---|
398 | #ifdef __cplusplus
|
---|
399 | }
|
---|
400 | #endif
|
---|
401 |
|
---|
402 |
|
---|
403 | #endif /* USE_FAST_MATH */
|
---|
404 |
|
---|
405 | #endif /* WOLF_CRYPT_INTEGER_H */
|
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406 |
|
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