Mercurial > dropbear
annotate libtommath/tommath.h @ 1938:77bc00dcc19f default tip main master
Bump version to 2022.82
author | Matt Johnston <matt@ucc.asn.au> |
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date | Fri, 01 Apr 2022 14:43:27 +0800 |
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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 BN_H_ |
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5 #define BN_H_ |
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6 |
1436 | 7 #include <stdint.h> |
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8 #include <stddef.h> |
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9 #include <limits.h> |
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10 |
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11 #ifdef LTM_NO_FILE |
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12 # warning LTM_NO_FILE has been deprecated, use MP_NO_FILE. |
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13 # define MP_NO_FILE |
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14 #endif |
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15 |
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16 #ifndef MP_NO_FILE |
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17 # include <stdio.h> |
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18 #endif |
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19 |
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20 #ifdef MP_8BIT |
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21 # ifdef _MSC_VER |
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22 # pragma message("8-bit (MP_8BIT) support is deprecated and will be dropped completely in the next version.") |
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23 # else |
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24 # warning "8-bit (MP_8BIT) support is deprecated and will be dropped completely in the next version." |
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25 # endif |
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26 #endif |
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27 |
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28 #ifdef __cplusplus |
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29 extern "C" { |
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30 #endif |
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31 |
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32 /* MS Visual C++ doesn't have a 128bit type for words, so fall back to 32bit MPI's (where words are 64bit) */ |
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33 #if (defined(_MSC_VER) || defined(__LLP64__) || defined(__e2k__) || defined(__LCC__)) && !defined(MP_64BIT) |
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34 # define MP_32BIT |
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35 #endif |
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36 |
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37 /* detect 64-bit mode if possible */ |
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38 #if defined(__x86_64__) || defined(_M_X64) || defined(_M_AMD64) || \ |
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39 defined(__powerpc64__) || defined(__ppc64__) || defined(__PPC64__) || \ |
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40 defined(__s390x__) || defined(__arch64__) || defined(__aarch64__) || \ |
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41 defined(__sparcv9) || defined(__sparc_v9__) || defined(__sparc64__) || \ |
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42 defined(__ia64) || defined(__ia64__) || defined(__itanium__) || defined(_M_IA64) || \ |
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43 defined(__LP64__) || defined(_LP64) || defined(__64BIT__) |
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44 # if !(defined(MP_64BIT) || defined(MP_32BIT) || defined(MP_16BIT) || defined(MP_8BIT)) |
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45 # if defined(__GNUC__) && !defined(__hppa) |
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46 /* we support 128bit integers only via: __attribute__((mode(TI))) */ |
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47 # define MP_64BIT |
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48 # else |
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49 /* otherwise we fall back to MP_32BIT even on 64bit platforms */ |
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50 # define MP_32BIT |
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51 # endif |
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52 # endif |
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53 #endif |
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54 |
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55 #ifdef MP_DIGIT_BIT |
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56 # error Defining MP_DIGIT_BIT is disallowed, use MP_8/16/31/32/64BIT |
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57 #endif |
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58 |
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59 /* some default configurations. |
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60 * |
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61 * A "mp_digit" must be able to hold MP_DIGIT_BIT + 1 bits |
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62 * A "mp_word" must be able to hold 2*MP_DIGIT_BIT + 1 bits |
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63 * |
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64 * At the very least a mp_digit must be able to hold 7 bits |
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65 * [any size beyond that is ok provided it doesn't overflow the data type] |
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66 */ |
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67 |
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68 #ifdef MP_8BIT |
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69 typedef uint8_t mp_digit; |
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70 typedef uint16_t private_mp_word; |
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71 # define MP_DIGIT_BIT 7 |
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72 #elif defined(MP_16BIT) |
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73 typedef uint16_t mp_digit; |
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74 typedef uint32_t private_mp_word; |
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75 # define MP_DIGIT_BIT 15 |
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76 #elif defined(MP_64BIT) |
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77 /* for GCC only on supported platforms */ |
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78 typedef uint64_t mp_digit; |
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79 #if defined(__GNUC__) |
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80 typedef unsigned long private_mp_word __attribute__((mode(TI))); |
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81 #endif |
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82 # define MP_DIGIT_BIT 60 |
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83 #else |
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84 typedef uint32_t mp_digit; |
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85 typedef uint64_t private_mp_word; |
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86 # ifdef MP_31BIT |
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87 /* |
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88 * This is an extension that uses 31-bit digits. |
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89 * Please be aware that not all functions support this size, especially s_mp_mul_digs_fast |
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90 * will be reduced to work on small numbers only: |
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91 * Up to 8 limbs, 248 bits instead of up to 512 limbs, 15872 bits with MP_28BIT. |
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92 */ |
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93 # define MP_DIGIT_BIT 31 |
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94 # else |
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95 /* default case is 28-bit digits, defines MP_28BIT as a handy macro to test */ |
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96 # define MP_DIGIT_BIT 28 |
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97 # define MP_28BIT |
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98 # endif |
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99 #endif |
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100 |
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101 /* mp_word is a private type */ |
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102 #define mp_word MP_DEPRECATED_PRAGMA("mp_word has been made private") private_mp_word |
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103 |
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104 #define MP_SIZEOF_MP_DIGIT (MP_DEPRECATED_PRAGMA("MP_SIZEOF_MP_DIGIT has been deprecated, use sizeof (mp_digit)") sizeof (mp_digit)) |
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105 |
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106 #define MP_MASK ((((mp_digit)1)<<((mp_digit)MP_DIGIT_BIT))-((mp_digit)1)) |
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107 #define MP_DIGIT_MAX MP_MASK |
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108 |
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109 /* Primality generation flags */ |
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110 #define MP_PRIME_BBS 0x0001 /* BBS style prime */ |
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111 #define MP_PRIME_SAFE 0x0002 /* Safe prime (p-1)/2 == prime */ |
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112 #define MP_PRIME_2MSB_ON 0x0008 /* force 2nd MSB to 1 */ |
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113 |
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114 #define LTM_PRIME_BBS (MP_DEPRECATED_PRAGMA("LTM_PRIME_BBS has been deprecated, use MP_PRIME_BBS") MP_PRIME_BBS) |
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115 #define LTM_PRIME_SAFE (MP_DEPRECATED_PRAGMA("LTM_PRIME_SAFE has been deprecated, use MP_PRIME_SAFE") MP_PRIME_SAFE) |
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116 #define LTM_PRIME_2MSB_ON (MP_DEPRECATED_PRAGMA("LTM_PRIME_2MSB_ON has been deprecated, use MP_PRIME_2MSB_ON") MP_PRIME_2MSB_ON) |
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117 |
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118 #ifdef MP_USE_ENUMS |
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119 typedef enum { |
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120 MP_ZPOS = 0, /* positive */ |
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121 MP_NEG = 1 /* negative */ |
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122 } mp_sign; |
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123 typedef enum { |
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124 MP_LT = -1, /* less than */ |
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125 MP_EQ = 0, /* equal */ |
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126 MP_GT = 1 /* greater than */ |
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127 } mp_ord; |
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128 typedef enum { |
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129 MP_NO = 0, |
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130 MP_YES = 1 |
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131 } mp_bool; |
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132 typedef enum { |
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133 MP_OKAY = 0, /* no error */ |
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134 MP_ERR = -1, /* unknown error */ |
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135 MP_MEM = -2, /* out of mem */ |
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136 MP_VAL = -3, /* invalid input */ |
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137 MP_ITER = -4, /* maximum iterations reached */ |
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138 MP_BUF = -5 /* buffer overflow, supplied buffer too small */ |
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139 } mp_err; |
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140 typedef enum { |
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141 MP_LSB_FIRST = -1, |
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142 MP_MSB_FIRST = 1 |
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143 } mp_order; |
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144 typedef enum { |
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145 MP_LITTLE_ENDIAN = -1, |
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146 MP_NATIVE_ENDIAN = 0, |
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147 MP_BIG_ENDIAN = 1 |
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148 } mp_endian; |
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149 #else |
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150 typedef int mp_sign; |
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151 #define MP_ZPOS 0 /* positive integer */ |
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152 #define MP_NEG 1 /* negative */ |
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153 typedef int mp_ord; |
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154 #define MP_LT -1 /* less than */ |
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155 #define MP_EQ 0 /* equal to */ |
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156 #define MP_GT 1 /* greater than */ |
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157 typedef int mp_bool; |
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158 #define MP_YES 1 |
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159 #define MP_NO 0 |
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160 typedef int mp_err; |
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161 #define MP_OKAY 0 /* no error */ |
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162 #define MP_ERR -1 /* unknown error */ |
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163 #define MP_MEM -2 /* out of mem */ |
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164 #define MP_VAL -3 /* invalid input */ |
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165 #define MP_RANGE (MP_DEPRECATED_PRAGMA("MP_RANGE has been deprecated in favor of MP_VAL") MP_VAL) |
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166 #define MP_ITER -4 /* maximum iterations reached */ |
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167 #define MP_BUF -5 /* buffer overflow, supplied buffer too small */ |
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168 typedef int mp_order; |
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169 #define MP_LSB_FIRST -1 |
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170 #define MP_MSB_FIRST 1 |
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171 typedef int mp_endian; |
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172 #define MP_LITTLE_ENDIAN -1 |
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173 #define MP_NATIVE_ENDIAN 0 |
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174 #define MP_BIG_ENDIAN 1 |
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175 #endif |
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176 |
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177 /* tunable cutoffs */ |
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178 |
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179 #ifndef MP_FIXED_CUTOFFS |
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180 extern int |
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181 KARATSUBA_MUL_CUTOFF, |
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182 KARATSUBA_SQR_CUTOFF, |
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183 TOOM_MUL_CUTOFF, |
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184 TOOM_SQR_CUTOFF; |
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185 #endif |
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186 |
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187 /* define this to use lower memory usage routines (exptmods mostly) */ |
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188 /* #define MP_LOW_MEM */ |
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189 |
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190 /* default precision */ |
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191 #ifndef MP_PREC |
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192 # ifndef MP_LOW_MEM |
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193 # define PRIVATE_MP_PREC 32 /* default digits of precision */ |
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194 # elif defined(MP_8BIT) |
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195 # define PRIVATE_MP_PREC 16 /* default digits of precision */ |
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196 # else |
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197 # define PRIVATE_MP_PREC 8 /* default digits of precision */ |
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198 # endif |
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199 # define MP_PREC (MP_DEPRECATED_PRAGMA("MP_PREC is an internal macro") PRIVATE_MP_PREC) |
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200 #endif |
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201 |
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202 /* size of comba arrays, should be at least 2 * 2**(BITS_PER_WORD - BITS_PER_DIGIT*2) */ |
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203 #define PRIVATE_MP_WARRAY (int)(1uLL << (((CHAR_BIT * sizeof(private_mp_word)) - (2 * MP_DIGIT_BIT)) + 1)) |
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204 #define MP_WARRAY (MP_DEPRECATED_PRAGMA("MP_WARRAY is an internal macro") PRIVATE_MP_WARRAY) |
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205 |
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206 #if defined(__GNUC__) && __GNUC__ >= 4 |
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207 # define MP_NULL_TERMINATED __attribute__((sentinel)) |
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208 #else |
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209 # define MP_NULL_TERMINATED |
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210 #endif |
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211 |
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212 /* |
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213 * MP_WUR - warn unused result |
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214 * --------------------------- |
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215 * |
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216 * The result of functions annotated with MP_WUR must be |
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217 * checked and cannot be ignored. |
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218 * |
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219 * Most functions in libtommath return an error code. |
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220 * This error code must be checked in order to prevent crashes or invalid |
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221 * results. |
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222 * |
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223 * If you still want to avoid the error checks for quick and dirty programs |
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224 * without robustness guarantees, you can `#define MP_WUR` before including |
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225 * tommath.h, disabling the warnings. |
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226 */ |
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227 #ifndef MP_WUR |
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228 # if defined(__GNUC__) && __GNUC__ >= 4 |
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229 # define MP_WUR __attribute__((warn_unused_result)) |
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230 # else |
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231 # define MP_WUR |
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232 # endif |
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233 #endif |
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234 |
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235 #if defined(__GNUC__) && (__GNUC__ * 100 + __GNUC_MINOR__ >= 405) |
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236 # define MP_DEPRECATED(x) __attribute__((deprecated("replaced by " #x))) |
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237 # define PRIVATE_MP_DEPRECATED_PRAGMA(s) _Pragma(#s) |
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238 # define MP_DEPRECATED_PRAGMA(s) PRIVATE_MP_DEPRECATED_PRAGMA(GCC warning s) |
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239 #elif defined(_MSC_VER) && _MSC_VER >= 1500 |
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240 # define MP_DEPRECATED(x) __declspec(deprecated("replaced by " #x)) |
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241 # define MP_DEPRECATED_PRAGMA(s) __pragma(message(s)) |
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242 #else |
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243 # define MP_DEPRECATED(s) |
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244 # define MP_DEPRECATED_PRAGMA(s) |
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245 #endif |
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246 |
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247 #define DIGIT_BIT (MP_DEPRECATED_PRAGMA("DIGIT_BIT macro is deprecated, MP_DIGIT_BIT instead") MP_DIGIT_BIT) |
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248 #define USED(m) (MP_DEPRECATED_PRAGMA("USED macro is deprecated, use z->used instead") (m)->used) |
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249 #define DIGIT(m, k) (MP_DEPRECATED_PRAGMA("DIGIT macro is deprecated, use z->dp instead") (m)->dp[(k)]) |
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250 #define SIGN(m) (MP_DEPRECATED_PRAGMA("SIGN macro is deprecated, use z->sign instead") (m)->sign) |
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251 |
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252 /* the infamous mp_int structure */ |
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253 typedef struct { |
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254 int used, alloc; |
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255 mp_sign sign; |
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256 mp_digit *dp; |
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257 } mp_int; |
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258 |
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259 /* callback for mp_prime_random, should fill dst with random bytes and return how many read [upto len] */ |
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260 typedef int private_mp_prime_callback(unsigned char *dst, int len, void *dat); |
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261 typedef private_mp_prime_callback MP_DEPRECATED(mp_rand_source) ltm_prime_callback; |
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262 |
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263 /* error code to char* string */ |
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264 const char *mp_error_to_string(mp_err code) MP_WUR; |
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265 |
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266 /* ---> init and deinit bignum functions <--- */ |
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267 /* init a bignum */ |
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268 mp_err mp_init(mp_int *a) MP_WUR; |
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269 |
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270 /* free a bignum */ |
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271 void mp_clear(mp_int *a); |
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272 |
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273 /* init a null terminated series of arguments */ |
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274 mp_err mp_init_multi(mp_int *mp, ...) MP_NULL_TERMINATED MP_WUR; |
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275 |
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276 /* clear a null terminated series of arguments */ |
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277 void mp_clear_multi(mp_int *mp, ...) MP_NULL_TERMINATED; |
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278 |
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279 /* exchange two ints */ |
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280 void mp_exch(mp_int *a, mp_int *b); |
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281 |
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282 /* shrink ram required for a bignum */ |
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283 mp_err mp_shrink(mp_int *a) MP_WUR; |
284
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284 |
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285 /* grow an int to a given size */ |
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286 mp_err mp_grow(mp_int *a, int size) MP_WUR; |
284
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287 |
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288 /* init to a given number of digits */ |
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289 mp_err mp_init_size(mp_int *a, int size) MP_WUR; |
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290 |
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291 /* ---> Basic Manipulations <--- */ |
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292 #define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO) |
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293 mp_bool mp_iseven(const mp_int *a) MP_WUR; |
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294 mp_bool mp_isodd(const mp_int *a) MP_WUR; |
1436 | 295 #define mp_isneg(a) (((a)->sign != MP_ZPOS) ? MP_YES : MP_NO) |
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296 |
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297 /* set to zero */ |
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298 void mp_zero(mp_int *a); |
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299 |
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300 /* get and set doubles */ |
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301 double mp_get_double(const mp_int *a) MP_WUR; |
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302 mp_err mp_set_double(mp_int *a, double b) MP_WUR; |
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303 |
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304 /* get integer, set integer and init with integer (int32_t) */ |
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305 int32_t mp_get_i32(const mp_int *a) MP_WUR; |
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306 void mp_set_i32(mp_int *a, int32_t b); |
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307 mp_err mp_init_i32(mp_int *a, int32_t b) MP_WUR; |
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308 |
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309 /* get integer, set integer and init with integer, behaves like two complement for negative numbers (uint32_t) */ |
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310 #define mp_get_u32(a) ((uint32_t)mp_get_i32(a)) |
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311 void mp_set_u32(mp_int *a, uint32_t b); |
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312 mp_err mp_init_u32(mp_int *a, uint32_t b) MP_WUR; |
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313 |
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314 /* get integer, set integer and init with integer (int64_t) */ |
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315 int64_t mp_get_i64(const mp_int *a) MP_WUR; |
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316 void mp_set_i64(mp_int *a, int64_t b); |
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317 mp_err mp_init_i64(mp_int *a, int64_t b) MP_WUR; |
1436 | 318 |
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319 /* get integer, set integer and init with integer, behaves like two complement for negative numbers (uint64_t) */ |
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320 #define mp_get_u64(a) ((uint64_t)mp_get_i64(a)) |
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321 void mp_set_u64(mp_int *a, uint64_t b); |
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322 mp_err mp_init_u64(mp_int *a, uint64_t b) MP_WUR; |
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323 |
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324 /* get magnitude */ |
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325 uint32_t mp_get_mag_u32(const mp_int *a) MP_WUR; |
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326 uint64_t mp_get_mag_u64(const mp_int *a) MP_WUR; |
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327 unsigned long mp_get_mag_ul(const mp_int *a) MP_WUR; |
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328 unsigned long long mp_get_mag_ull(const mp_int *a) MP_WUR; |
1436 | 329 |
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330 /* get integer, set integer (long) */ |
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331 long mp_get_l(const mp_int *a) MP_WUR; |
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332 void mp_set_l(mp_int *a, long b); |
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333 mp_err mp_init_l(mp_int *a, long b) MP_WUR; |
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334 |
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335 /* get integer, set integer (unsigned long) */ |
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336 #define mp_get_ul(a) ((unsigned long)mp_get_l(a)) |
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337 void mp_set_ul(mp_int *a, unsigned long b); |
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338 mp_err mp_init_ul(mp_int *a, unsigned long b) MP_WUR; |
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339 |
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340 /* get integer, set integer (long long) */ |
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341 long long mp_get_ll(const mp_int *a) MP_WUR; |
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342 void mp_set_ll(mp_int *a, long long b); |
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343 mp_err mp_init_ll(mp_int *a, long long b) MP_WUR; |
1436 | 344 |
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345 /* get integer, set integer (unsigned long long) */ |
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346 #define mp_get_ull(a) ((unsigned long long)mp_get_ll(a)) |
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347 void mp_set_ull(mp_int *a, unsigned long long b); |
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348 mp_err mp_init_ull(mp_int *a, unsigned long long b) MP_WUR; |
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349 |
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350 /* set to single unsigned digit, up to MP_DIGIT_MAX */ |
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351 void mp_set(mp_int *a, mp_digit b); |
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352 mp_err mp_init_set(mp_int *a, mp_digit b) MP_WUR; |
1436 | 353 |
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354 /* get integer, set integer and init with integer (deprecated) */ |
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355 MP_DEPRECATED(mp_get_mag_u32/mp_get_u32) unsigned long mp_get_int(const mp_int *a) MP_WUR; |
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356 MP_DEPRECATED(mp_get_mag_ul/mp_get_ul) unsigned long mp_get_long(const mp_int *a) MP_WUR; |
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357 MP_DEPRECATED(mp_get_mag_ull/mp_get_ull) unsigned long long mp_get_long_long(const mp_int *a) MP_WUR; |
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358 MP_DEPRECATED(mp_set_ul) mp_err mp_set_int(mp_int *a, unsigned long b); |
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359 MP_DEPRECATED(mp_set_ul) mp_err mp_set_long(mp_int *a, unsigned long b); |
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360 MP_DEPRECATED(mp_set_ull) mp_err mp_set_long_long(mp_int *a, unsigned long long b); |
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361 MP_DEPRECATED(mp_init_ul) mp_err mp_init_set_int(mp_int *a, unsigned long b) MP_WUR; |
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362 |
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363 /* copy, b = a */ |
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364 mp_err mp_copy(const mp_int *a, mp_int *b) MP_WUR; |
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365 |
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366 /* inits and copies, a = b */ |
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367 mp_err mp_init_copy(mp_int *a, const mp_int *b) MP_WUR; |
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368 |
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369 /* trim unused digits */ |
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370 void mp_clamp(mp_int *a); |
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371 |
1436 | 372 |
373 /* export binary data */ | |
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374 MP_DEPRECATED(mp_pack) mp_err mp_export(void *rop, size_t *countp, int order, size_t size, |
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375 int endian, size_t nails, const mp_int *op) MP_WUR; |
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376 |
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377 /* import binary data */ |
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378 MP_DEPRECATED(mp_unpack) mp_err mp_import(mp_int *rop, size_t count, int order, |
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379 size_t size, int endian, size_t nails, |
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380 const void *op) MP_WUR; |
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381 |
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382 /* unpack binary data */ |
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383 mp_err mp_unpack(mp_int *rop, size_t count, mp_order order, size_t size, mp_endian endian, |
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384 size_t nails, const void *op) MP_WUR; |
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385 |
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386 /* pack binary data */ |
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387 size_t mp_pack_count(const mp_int *a, size_t nails, size_t size) MP_WUR; |
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388 mp_err mp_pack(void *rop, size_t maxcount, size_t *written, mp_order order, size_t size, |
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389 mp_endian endian, size_t nails, const mp_int *op) MP_WUR; |
1436 | 390 |
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391 /* ---> digit manipulation <--- */ |
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392 |
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393 /* right shift by "b" digits */ |
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394 void mp_rshd(mp_int *a, int b); |
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395 |
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396 /* left shift by "b" digits */ |
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397 mp_err mp_lshd(mp_int *a, int b) MP_WUR; |
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398 |
1436 | 399 /* c = a / 2**b, implemented as c = a >> b */ |
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400 mp_err mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d) MP_WUR; |
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401 |
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402 /* b = a/2 */ |
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403 mp_err mp_div_2(const mp_int *a, mp_int *b) MP_WUR; |
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404 |
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405 /* a/3 => 3c + d == a */ |
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406 mp_err mp_div_3(const mp_int *a, mp_int *c, mp_digit *d) MP_WUR; |
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407 |
1436 | 408 /* c = a * 2**b, implemented as c = a << b */ |
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409 mp_err mp_mul_2d(const mp_int *a, int b, mp_int *c) MP_WUR; |
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410 |
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411 /* b = a*2 */ |
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412 mp_err mp_mul_2(const mp_int *a, mp_int *b) MP_WUR; |
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413 |
1436 | 414 /* c = a mod 2**b */ |
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415 mp_err mp_mod_2d(const mp_int *a, int b, mp_int *c) MP_WUR; |
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416 |
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417 /* computes a = 2**b */ |
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418 mp_err mp_2expt(mp_int *a, int b) MP_WUR; |
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419 |
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420 /* Counts the number of lsbs which are zero before the first zero bit */ |
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421 int mp_cnt_lsb(const mp_int *a) MP_WUR; |
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422 |
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423 /* I Love Earth! */ |
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424 |
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425 /* makes a pseudo-random mp_int of a given size */ |
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426 mp_err mp_rand(mp_int *a, int digits) MP_WUR; |
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427 /* makes a pseudo-random small int of a given size */ |
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428 MP_DEPRECATED(mp_rand) mp_err mp_rand_digit(mp_digit *r) MP_WUR; |
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429 /* use custom random data source instead of source provided the platform */ |
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430 void mp_rand_source(mp_err(*source)(void *out, size_t size)); |
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431 |
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432 #ifdef MP_PRNG_ENABLE_LTM_RNG |
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433 # warning MP_PRNG_ENABLE_LTM_RNG has been deprecated, use mp_rand_source instead. |
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434 /* A last resort to provide random data on systems without any of the other |
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435 * implemented ways to gather entropy. |
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436 * It is compatible with `rng_get_bytes()` from libtomcrypt so you could |
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437 * provide that one and then set `ltm_rng = rng_get_bytes;` */ |
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438 extern unsigned long (*ltm_rng)(unsigned char *out, unsigned long outlen, void (*callback)(void)); |
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439 extern void (*ltm_rng_callback)(void); |
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440 #endif |
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441 |
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442 /* ---> binary operations <--- */ |
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443 |
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444 /* Checks the bit at position b and returns MP_YES |
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445 * if the bit is 1, MP_NO if it is 0 and MP_VAL |
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446 * in case of error |
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447 */ |
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448 MP_DEPRECATED(s_mp_get_bit) int mp_get_bit(const mp_int *a, int b) MP_WUR; |
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449 |
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450 /* c = a XOR b (two complement) */ |
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451 MP_DEPRECATED(mp_xor) mp_err mp_tc_xor(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; |
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452 mp_err mp_xor(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; |
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453 |
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454 /* c = a OR b (two complement) */ |
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455 MP_DEPRECATED(mp_or) mp_err mp_tc_or(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; |
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456 mp_err mp_or(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; |
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457 |
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458 /* c = a AND b (two complement) */ |
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459 MP_DEPRECATED(mp_and) mp_err mp_tc_and(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; |
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460 mp_err mp_and(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; |
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461 |
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462 /* b = ~a (bitwise not, two complement) */ |
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463 mp_err mp_complement(const mp_int *a, mp_int *b) MP_WUR; |
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464 |
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465 /* right shift with sign extension */ |
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466 MP_DEPRECATED(mp_signed_rsh) mp_err mp_tc_div_2d(const mp_int *a, int b, mp_int *c) MP_WUR; |
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467 mp_err mp_signed_rsh(const mp_int *a, int b, mp_int *c) MP_WUR; |
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468 |
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469 /* ---> Basic arithmetic <--- */ |
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470 |
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471 /* b = -a */ |
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472 mp_err mp_neg(const mp_int *a, mp_int *b) MP_WUR; |
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473 |
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474 /* b = |a| */ |
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475 mp_err mp_abs(const mp_int *a, mp_int *b) MP_WUR; |
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476 |
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477 /* compare a to b */ |
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478 mp_ord mp_cmp(const mp_int *a, const mp_int *b) MP_WUR; |
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479 |
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480 /* compare |a| to |b| */ |
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481 mp_ord mp_cmp_mag(const mp_int *a, const mp_int *b) MP_WUR; |
284
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parents:
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482 |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
|
483 /* c = a + b */ |
1692
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Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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484 mp_err mp_add(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; |
284
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parents:
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|
485 |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
|
486 /* c = a - b */ |
1692
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Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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487 mp_err mp_sub(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; |
284
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|
488 |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
|
489 /* c = a * b */ |
1692
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Update LibTomMath to 1.2.0 (#84)
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490 mp_err mp_mul(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; |
284
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parents:
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|
491 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
|
492 /* b = a*a */ |
1692
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Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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1655
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|
493 mp_err mp_sqr(const mp_int *a, mp_int *b) MP_WUR; |
284
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|
494 |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
|
495 /* a/b => cb + d == a */ |
1692
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Update LibTomMath to 1.2.0 (#84)
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496 mp_err mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d) MP_WUR; |
284
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|
497 |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
498 /* c = a mod b, 0 <= c < b */ |
1692
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
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499 mp_err mp_mod(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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|
500 |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
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changeset
|
501 /* Increment "a" by one like "a++". Changes input! */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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502 mp_err mp_incr(mp_int *a) MP_WUR; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
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|
503 |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
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diff
changeset
|
504 /* Decrement "a" by one like "a--". Changes input! */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
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|
505 mp_err mp_decr(mp_int *a) MP_WUR; |
284
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|
506 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
507 /* ---> single digit functions <--- */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
|
508 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
|
509 /* compare against a single digit */ |
1692
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
1655
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|
510 mp_ord mp_cmp_d(const mp_int *a, mp_digit b) MP_WUR; |
284
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
|
511 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
512 /* c = a + b */ |
1692
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
1655
diff
changeset
|
513 mp_err mp_add_d(const mp_int *a, mp_digit b, mp_int *c) MP_WUR; |
284
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
|
514 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
515 /* c = a - b */ |
1692
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
1655
diff
changeset
|
516 mp_err mp_sub_d(const mp_int *a, mp_digit b, mp_int *c) MP_WUR; |
284
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
|
517 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
518 /* c = a * b */ |
1692
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
1655
diff
changeset
|
519 mp_err mp_mul_d(const mp_int *a, mp_digit b, mp_int *c) MP_WUR; |
284
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
520 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
521 /* a/b => cb + d == a */ |
1692
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
1655
diff
changeset
|
522 mp_err mp_div_d(const mp_int *a, mp_digit b, mp_int *c, mp_digit *d) MP_WUR; |
284
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
523 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
524 /* c = a mod b, 0 <= c < b */ |
1692
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
1655
diff
changeset
|
525 mp_err mp_mod_d(const mp_int *a, mp_digit b, mp_digit *c) MP_WUR; |
284
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
526 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
527 /* ---> number theory <--- */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
528 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
529 /* d = a + b (mod c) */ |
1692
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
1655
diff
changeset
|
530 mp_err mp_addmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d) MP_WUR; |
284
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
531 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
532 /* d = a - b (mod c) */ |
1692
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
1655
diff
changeset
|
533 mp_err mp_submod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d) MP_WUR; |
284
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
534 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
535 /* d = a * b (mod c) */ |
1692
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
1655
diff
changeset
|
536 mp_err mp_mulmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d) MP_WUR; |
284
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
537 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
538 /* c = a * a (mod b) */ |
1692
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
1655
diff
changeset
|
539 mp_err mp_sqrmod(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; |
284
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
540 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
541 /* c = 1/a (mod b) */ |
1692
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
1655
diff
changeset
|
542 mp_err mp_invmod(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; |
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
543 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
544 /* c = (a, b) */ |
1692
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
1655
diff
changeset
|
545 mp_err mp_gcd(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; |
284
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
546 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
547 /* produces value such that U1*a + U2*b = U3 */ |
1692
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
1655
diff
changeset
|
548 mp_err mp_exteuclid(const mp_int *a, const mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) MP_WUR; |
284
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
549 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
550 /* c = [a, b] or (a*b)/(a, b) */ |
1692
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
1655
diff
changeset
|
551 mp_err mp_lcm(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; |
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
552 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
553 /* finds one of the b'th root of a, such that |c|**b <= |a| |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
554 * |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
555 * returns error if a < 0 and b is even |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
556 */ |
1692
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
1655
diff
changeset
|
557 mp_err mp_root_u32(const mp_int *a, uint32_t b, mp_int *c) MP_WUR; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
1655
diff
changeset
|
558 MP_DEPRECATED(mp_root_u32) mp_err mp_n_root(const mp_int *a, mp_digit b, mp_int *c) MP_WUR; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
1655
diff
changeset
|
559 MP_DEPRECATED(mp_root_u32) mp_err mp_n_root_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) MP_WUR; |
284
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
560 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
561 /* special sqrt algo */ |
1692
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
1655
diff
changeset
|
562 mp_err mp_sqrt(const mp_int *arg, mp_int *ret) MP_WUR; |
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
563 |
1436 | 564 /* special sqrt (mod prime) */ |
1692
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
1655
diff
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|
565 mp_err mp_sqrtmod_prime(const mp_int *n, const mp_int *prime, mp_int *ret) MP_WUR; |
1436 | 566 |
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
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|
567 /* is number a square? */ |
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568 mp_err mp_is_square(const mp_int *arg, mp_bool *ret) MP_WUR; |
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569 |
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570 /* computes the jacobi c = (a | n) (or Legendre if b is prime) */ |
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571 MP_DEPRECATED(mp_kronecker) mp_err mp_jacobi(const mp_int *a, const mp_int *n, int *c) MP_WUR; |
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572 |
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573 /* computes the Kronecker symbol c = (a | p) (like jacobi() but with {a,p} in Z */ |
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574 mp_err mp_kronecker(const mp_int *a, const mp_int *p, int *c) MP_WUR; |
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575 |
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576 /* used to setup the Barrett reduction for a given modulus b */ |
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577 mp_err mp_reduce_setup(mp_int *a, const mp_int *b) MP_WUR; |
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578 |
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579 /* Barrett Reduction, computes a (mod b) with a precomputed value c |
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580 * |
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581 * Assumes that 0 < x <= m*m, note if 0 > x > -(m*m) then you can merely |
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582 * compute the reduction as -1 * mp_reduce(mp_abs(x)) [pseudo code]. |
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583 */ |
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584 mp_err mp_reduce(mp_int *x, const mp_int *m, const mp_int *mu) MP_WUR; |
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585 |
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586 /* setups the montgomery reduction */ |
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587 mp_err mp_montgomery_setup(const mp_int *n, mp_digit *rho) MP_WUR; |
284
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588 |
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589 /* computes a = B**n mod b without division or multiplication useful for |
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590 * normalizing numbers in a Montgomery system. |
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591 */ |
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592 mp_err mp_montgomery_calc_normalization(mp_int *a, const mp_int *b) MP_WUR; |
284
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593 |
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594 /* computes x/R == x (mod N) via Montgomery Reduction */ |
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595 mp_err mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho) MP_WUR; |
284
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596 |
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597 /* returns 1 if a is a valid DR modulus */ |
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598 mp_bool mp_dr_is_modulus(const mp_int *a) MP_WUR; |
284
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599 |
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600 /* sets the value of "d" required for mp_dr_reduce */ |
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601 void mp_dr_setup(const mp_int *a, mp_digit *d); |
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602 |
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603 /* reduces a modulo n using the Diminished Radix method */ |
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604 mp_err mp_dr_reduce(mp_int *x, const mp_int *n, mp_digit k) MP_WUR; |
284
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605 |
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606 /* returns true if a can be reduced with mp_reduce_2k */ |
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607 mp_bool mp_reduce_is_2k(const mp_int *a) MP_WUR; |
284
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608 |
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609 /* determines k value for 2k reduction */ |
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610 mp_err mp_reduce_2k_setup(const mp_int *a, mp_digit *d) MP_WUR; |
284
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611 |
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612 /* reduces a modulo b where b is of the form 2**p - k [0 <= a] */ |
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613 mp_err mp_reduce_2k(mp_int *a, const mp_int *n, mp_digit d) MP_WUR; |
284
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614 |
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615 /* returns true if a can be reduced with mp_reduce_2k_l */ |
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616 mp_bool mp_reduce_is_2k_l(const mp_int *a) MP_WUR; |
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617 |
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618 /* determines k value for 2k reduction */ |
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619 mp_err mp_reduce_2k_setup_l(const mp_int *a, mp_int *d) MP_WUR; |
284
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620 |
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621 /* reduces a modulo b where b is of the form 2**p - k [0 <= a] */ |
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622 mp_err mp_reduce_2k_l(mp_int *a, const mp_int *n, const mp_int *d) MP_WUR; |
284
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623 |
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624 /* Y = G**X (mod P) */ |
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625 mp_err mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y) MP_WUR; |
284
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626 |
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627 /* ---> Primes <--- */ |
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628 |
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629 /* number of primes */ |
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630 #ifdef MP_8BIT |
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631 # define PRIVATE_MP_PRIME_TAB_SIZE 31 |
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632 #else |
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633 # define PRIVATE_MP_PRIME_TAB_SIZE 256 |
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634 #endif |
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635 #define PRIME_SIZE (MP_DEPRECATED_PRAGMA("PRIME_SIZE has been made internal") PRIVATE_MP_PRIME_TAB_SIZE) |
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636 |
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637 /* table of first PRIME_SIZE primes */ |
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638 MP_DEPRECATED(internal) extern const mp_digit ltm_prime_tab[PRIVATE_MP_PRIME_TAB_SIZE]; |
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639 |
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640 /* result=1 if a is divisible by one of the first PRIME_SIZE primes */ |
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641 MP_DEPRECATED(mp_prime_is_prime) mp_err mp_prime_is_divisible(const mp_int *a, mp_bool *result) MP_WUR; |
284
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642 |
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643 /* performs one Fermat test of "a" using base "b". |
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644 * Sets result to 0 if composite or 1 if probable prime |
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645 */ |
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646 mp_err mp_prime_fermat(const mp_int *a, const mp_int *b, mp_bool *result) MP_WUR; |
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647 |
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648 /* performs one Miller-Rabin test of "a" using base "b". |
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649 * Sets result to 0 if composite or 1 if probable prime |
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650 */ |
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651 mp_err mp_prime_miller_rabin(const mp_int *a, const mp_int *b, mp_bool *result) MP_WUR; |
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652 |
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653 /* This gives [for a given bit size] the number of trials required |
1436 | 654 * such that Miller-Rabin gives a prob of failure lower than 2^-96 |
284
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655 */ |
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656 int mp_prime_rabin_miller_trials(int size) MP_WUR; |
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657 |
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658 /* performs one strong Lucas-Selfridge test of "a". |
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659 * Sets result to 0 if composite or 1 if probable prime |
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660 */ |
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661 mp_err mp_prime_strong_lucas_selfridge(const mp_int *a, mp_bool *result) MP_WUR; |
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662 |
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663 /* performs one Frobenius test of "a" as described by Paul Underwood. |
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664 * Sets result to 0 if composite or 1 if probable prime |
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665 */ |
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666 mp_err mp_prime_frobenius_underwood(const mp_int *N, mp_bool *result) MP_WUR; |
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667 |
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668 /* performs t random rounds of Miller-Rabin on "a" additional to |
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669 * bases 2 and 3. Also performs an initial sieve of trial |
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670 * division. Determines if "a" is prime with probability |
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671 * of error no more than (1/4)**t. |
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672 * Both a strong Lucas-Selfridge to complete the BPSW test |
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673 * and a separate Frobenius test are available at compile time. |
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674 * With t<0 a deterministic test is run for primes up to |
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675 * 318665857834031151167461. With t<13 (abs(t)-13) additional |
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676 * tests with sequential small primes are run starting at 43. |
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677 * Is Fips 186.4 compliant if called with t as computed by |
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678 * mp_prime_rabin_miller_trials(); |
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679 * |
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680 * Sets result to 1 if probably prime, 0 otherwise |
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681 */ |
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682 mp_err mp_prime_is_prime(const mp_int *a, int t, mp_bool *result) MP_WUR; |
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683 |
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684 /* finds the next prime after the number "a" using "t" trials |
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685 * of Miller-Rabin. |
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686 * |
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687 * bbs_style = 1 means the prime must be congruent to 3 mod 4 |
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688 */ |
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689 mp_err mp_prime_next_prime(mp_int *a, int t, int bbs_style) MP_WUR; |
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690 |
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691 /* makes a truly random prime of a given size (bytes), |
1436 | 692 * call with bbs = 1 if you want it to be congruent to 3 mod 4 |
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693 * |
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694 * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can |
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695 * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself |
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696 * so it can be NULL |
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697 * |
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698 * The prime generated will be larger than 2^(8*size). |
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699 */ |
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700 #define mp_prime_random(a, t, size, bbs, cb, dat) (MP_DEPRECATED_PRAGMA("mp_prime_random has been deprecated, use mp_prime_rand instead") mp_prime_random_ex(a, t, ((size) * 8) + 1, (bbs==1)?MP_PRIME_BBS:0, cb, dat)) |
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701 |
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702 /* makes a truly random prime of a given size (bits), |
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703 * |
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704 * Flags are as follows: |
1436 | 705 * |
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706 * MP_PRIME_BBS - make prime congruent to 3 mod 4 |
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707 * MP_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies MP_PRIME_BBS) |
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708 * MP_PRIME_2MSB_ON - make the 2nd highest bit one |
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709 * |
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710 * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can |
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711 * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself |
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712 * so it can be NULL |
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713 * |
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714 */ |
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715 MP_DEPRECATED(mp_prime_rand) mp_err mp_prime_random_ex(mp_int *a, int t, int size, int flags, |
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716 private_mp_prime_callback cb, void *dat) MP_WUR; |
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717 mp_err mp_prime_rand(mp_int *a, int t, int size, int flags) MP_WUR; |
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718 |
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719 /* Integer logarithm to integer base */ |
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720 mp_err mp_log_u32(const mp_int *a, uint32_t base, uint32_t *c) MP_WUR; |
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721 |
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722 /* c = a**b */ |
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723 mp_err mp_expt_u32(const mp_int *a, uint32_t b, mp_int *c) MP_WUR; |
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724 MP_DEPRECATED(mp_expt_u32) mp_err mp_expt_d(const mp_int *a, mp_digit b, mp_int *c) MP_WUR; |
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725 MP_DEPRECATED(mp_expt_u32) mp_err mp_expt_d_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) MP_WUR; |
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726 |
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727 /* ---> radix conversion <--- */ |
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728 int mp_count_bits(const mp_int *a) MP_WUR; |
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729 |
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730 |
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731 MP_DEPRECATED(mp_ubin_size) int mp_unsigned_bin_size(const mp_int *a) MP_WUR; |
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732 MP_DEPRECATED(mp_from_ubin) mp_err mp_read_unsigned_bin(mp_int *a, const unsigned char *b, int c) MP_WUR; |
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733 MP_DEPRECATED(mp_to_ubin) mp_err mp_to_unsigned_bin(const mp_int *a, unsigned char *b) MP_WUR; |
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734 MP_DEPRECATED(mp_to_ubin) mp_err mp_to_unsigned_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen) MP_WUR; |
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735 |
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736 MP_DEPRECATED(mp_sbin_size) int mp_signed_bin_size(const mp_int *a) MP_WUR; |
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737 MP_DEPRECATED(mp_from_sbin) mp_err mp_read_signed_bin(mp_int *a, const unsigned char *b, int c) MP_WUR; |
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738 MP_DEPRECATED(mp_to_sbin) mp_err mp_to_signed_bin(const mp_int *a, unsigned char *b) MP_WUR; |
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739 MP_DEPRECATED(mp_to_sbin) mp_err mp_to_signed_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen) MP_WUR; |
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740 |
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741 size_t mp_ubin_size(const mp_int *a) MP_WUR; |
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742 mp_err mp_from_ubin(mp_int *a, const unsigned char *buf, size_t size) MP_WUR; |
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743 mp_err mp_to_ubin(const mp_int *a, unsigned char *buf, size_t maxlen, size_t *written) MP_WUR; |
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744 |
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745 size_t mp_sbin_size(const mp_int *a) MP_WUR; |
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746 mp_err mp_from_sbin(mp_int *a, const unsigned char *buf, size_t size) MP_WUR; |
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747 mp_err mp_to_sbin(const mp_int *a, unsigned char *buf, size_t maxlen, size_t *written) MP_WUR; |
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749 mp_err mp_read_radix(mp_int *a, const char *str, int radix) MP_WUR; |
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750 MP_DEPRECATED(mp_to_radix) mp_err mp_toradix(const mp_int *a, char *str, int radix) MP_WUR; |
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751 MP_DEPRECATED(mp_to_radix) mp_err mp_toradix_n(const mp_int *a, char *str, int radix, int maxlen) MP_WUR; |
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752 mp_err mp_to_radix(const mp_int *a, char *str, size_t maxlen, size_t *written, int radix) MP_WUR; |
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753 mp_err mp_radix_size(const mp_int *a, int radix, int *size) MP_WUR; |
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754 |
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755 #ifndef MP_NO_FILE |
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756 mp_err mp_fread(mp_int *a, int radix, FILE *stream) MP_WUR; |
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757 mp_err mp_fwrite(const mp_int *a, int radix, FILE *stream) MP_WUR; |
1436 | 758 #endif |
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760 #define mp_read_raw(mp, str, len) (MP_DEPRECATED_PRAGMA("replaced by mp_read_signed_bin") mp_read_signed_bin((mp), (str), (len))) |
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761 #define mp_raw_size(mp) (MP_DEPRECATED_PRAGMA("replaced by mp_signed_bin_size") mp_signed_bin_size(mp)) |
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762 #define mp_toraw(mp, str) (MP_DEPRECATED_PRAGMA("replaced by mp_to_signed_bin") mp_to_signed_bin((mp), (str))) |
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763 #define mp_read_mag(mp, str, len) (MP_DEPRECATED_PRAGMA("replaced by mp_read_unsigned_bin") mp_read_unsigned_bin((mp), (str), (len)) |
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764 #define mp_mag_size(mp) (MP_DEPRECATED_PRAGMA("replaced by mp_unsigned_bin_size") mp_unsigned_bin_size(mp)) |
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765 #define mp_tomag(mp, str) (MP_DEPRECATED_PRAGMA("replaced by mp_to_unsigned_bin") mp_to_unsigned_bin((mp), (str))) |
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767 #define mp_tobinary(M, S) (MP_DEPRECATED_PRAGMA("replaced by mp_to_binary") mp_toradix((M), (S), 2)) |
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768 #define mp_tooctal(M, S) (MP_DEPRECATED_PRAGMA("replaced by mp_to_octal") mp_toradix((M), (S), 8)) |
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769 #define mp_todecimal(M, S) (MP_DEPRECATED_PRAGMA("replaced by mp_to_decimal") mp_toradix((M), (S), 10)) |
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770 #define mp_tohex(M, S) (MP_DEPRECATED_PRAGMA("replaced by mp_to_hex") mp_toradix((M), (S), 16)) |
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771 |
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772 #define mp_to_binary(M, S, N) mp_to_radix((M), (S), (N), NULL, 2) |
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773 #define mp_to_octal(M, S, N) mp_to_radix((M), (S), (N), NULL, 8) |
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774 #define mp_to_decimal(M, S, N) mp_to_radix((M), (S), (N), NULL, 10) |
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775 #define mp_to_hex(M, S, N) mp_to_radix((M), (S), (N), NULL, 16) |
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776 |
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777 #ifdef __cplusplus |
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778 } |
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779 #endif |
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781 #endif |