Mercurial > dropbear
annotate libtommath/tommath.h @ 1930:299f4f19ba19
Add /usr/sbin and /sbin to default root PATH
When dropbear is used in a very restricted environment (such as in a
initrd), the default user shell is often also very restricted
and doesn't take care of setting the PATH so the user ends up
with the PATH set by dropbear. Unfortunately, dropbear always
sets "/usr/bin:/bin" as default PATH even for the root user
which should have /usr/sbin and /sbin too.
For a concrete instance of this problem, see the "Remote Unlocking"
section in this tutorial: https://paxswill.com/blog/2013/11/04/encrypted-raspberry-pi/
It speaks of a bug in the initramfs script because it's written "blkid"
instead of "/sbin/blkid"... this is just because the scripts from the
initramfs do not expect to have a PATH without the sbin directories and
because dropbear is not setting the PATH appropriately for the root user.
I'm thus suggesting to use the attached patch to fix this misbehaviour (I
did not test it, but it's easy enough). It might seem anecdotic but
multiple Kali users have been bitten by this.
From https://bugs.debian.org/cgi-bin/bugreport.cgi?bug=903403
author | Raphael Hertzog <hertzog@debian.org> |
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date | Mon, 09 Jul 2018 16:27:53 +0200 |
parents | 1051e4eea25a |
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rev | line source |
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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; |
284
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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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Matt Johnston <matt@ucc.asn.au>
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changeset
|
480 /* compare |a| to |b| */ |
1692
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Update LibTomMath to 1.2.0 (#84)
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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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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)
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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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|
485 |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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|
486 /* c = a - b */ |
1692
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Update LibTomMath to 1.2.0 (#84)
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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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|
491 |
eed26cff980b
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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)
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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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parents:
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changeset
|
498 /* c = a mod b, 0 <= c < b */ |
1692
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Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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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>
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|
501 /* Increment "a" by one like "a++". Changes input! */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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502 mp_err mp_incr(mp_int *a) MP_WUR; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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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>
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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:
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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
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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
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Matt Johnston <matt@ucc.asn.au>
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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:
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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
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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
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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
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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
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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:
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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:
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|
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>
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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
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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
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Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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|
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
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|
563 |
1436 | 564 /* special sqrt (mod prime) */ |
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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 |
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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; |
284
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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); |
284
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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; |
284
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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; |
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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 |
284
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632 #else |
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633 # define PRIVATE_MP_PRIME_TAB_SIZE 256 |
284
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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; |
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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; |
284
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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; |
284
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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; |
284
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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; |
284
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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; |
284
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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 |
284
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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)) |
284
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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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748 |
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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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759 |
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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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766 |
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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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780 |
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781 #endif |