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annotate libtommath/tommath.h @ 1660:26e07f7f682a

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MOTD enabled by default as the manpage says (#87) The man page (https://github.com/mkj/dropbear/blob/master/dropbear.8) says MOTD will be printed by default for any login shell, but it was disabled at compile time. Probably happened by accident when this code was moved from `options.h` to `default_options.h`.
author zciendor <37557036+zciendor@users.noreply.github.com>
date Sat, 14 Mar 2020 14:21:01 +0000
parents f52919ffd3b1
children 1051e4eea25a
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1 /* LibTomMath, multiple-precision integer library -- Tom St Denis
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2 *
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3 * LibTomMath is a library that provides multiple-precision
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4 * integer arithmetic as well as number theoretic functionality.
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5 *
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6 * The library was designed directly after the MPI library by
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7 * Michael Fromberger but has been written from scratch with
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8 * additional optimizations in place.
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9 *
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10 * SPDX-License-Identifier: Unlicense
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11 */
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12 #ifndef BN_H_
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13 #define BN_H_
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14
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15 #include <stdio.h>
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16 #include <stdlib.h>
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17 #include <stdint.h>
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18 #include <limits.h>
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19
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20 #include "tommath_class.h"
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22 #ifdef __cplusplus
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23 extern "C" {
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24 #endif
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25
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26 /* 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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27 #if defined(_MSC_VER) || defined(__LLP64__) || defined(__e2k__) || defined(__LCC__)
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28 # define MP_32BIT
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29 #endif
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30
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31 /* detect 64-bit mode if possible */
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32 #if defined(__x86_64__) || defined(_M_X64) || defined(_M_AMD64) || \
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33 defined(__powerpc64__) || defined(__ppc64__) || defined(__PPC64__) || \
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34 defined(__s390x__) || defined(__arch64__) || defined(__aarch64__) || \
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35 defined(__sparcv9) || defined(__sparc_v9__) || defined(__sparc64__) || \
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36 defined(__ia64) || defined(__ia64__) || defined(__itanium__) || defined(_M_IA64) || \
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37 defined(__LP64__) || defined(_LP64) || defined(__64BIT__)
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38 # if !(defined(MP_32BIT) || defined(MP_16BIT) || defined(MP_8BIT))
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39 # if defined(__GNUC__)
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40 /* we support 128bit integers only via: __attribute__((mode(TI))) */
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41 # define MP_64BIT
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42 # else
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43 /* otherwise we fall back to MP_32BIT even on 64bit platforms */
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44 # define MP_32BIT
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45 # endif
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46 # endif
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47 #endif
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49 /* some default configurations.
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50 *
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51 * A "mp_digit" must be able to hold DIGIT_BIT + 1 bits
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52 * A "mp_word" must be able to hold 2*DIGIT_BIT + 1 bits
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53 *
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54 * At the very least a mp_digit must be able to hold 7 bits
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55 * [any size beyond that is ok provided it doesn't overflow the data type]
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56 */
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57 #ifdef MP_8BIT
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58 typedef uint8_t mp_digit;
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59 typedef uint16_t mp_word;
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60 # define MP_SIZEOF_MP_DIGIT 1
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61 # ifdef DIGIT_BIT
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62 # error You must not define DIGIT_BIT when using MP_8BIT
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63 # endif
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64 #elif defined(MP_16BIT)
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65 typedef uint16_t mp_digit;
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66 typedef uint32_t mp_word;
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67 # define MP_SIZEOF_MP_DIGIT 2
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68 # ifdef DIGIT_BIT
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69 # error You must not define DIGIT_BIT when using MP_16BIT
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70 # endif
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71 #elif defined(MP_64BIT)
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72 /* for GCC only on supported platforms */
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73 typedef uint64_t mp_digit;
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74 typedef unsigned long mp_word __attribute__((mode(TI)));
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75 # define DIGIT_BIT 60
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76 #else
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77 /* this is the default case, 28-bit digits */
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78
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79 /* this is to make porting into LibTomCrypt easier :-) */
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80 typedef uint32_t mp_digit;
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81 typedef uint64_t mp_word;
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82
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83 # ifdef MP_31BIT
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84 /* this is an extension that uses 31-bit digits */
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85 # define DIGIT_BIT 31
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86 # else
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87 /* default case is 28-bit digits, defines MP_28BIT as a handy macro to test */
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88 # define DIGIT_BIT 28
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89 # define MP_28BIT
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90 # endif
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91 #endif
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92
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93 /* otherwise the bits per digit is calculated automatically from the size of a mp_digit */
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94 #ifndef DIGIT_BIT
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95 # define DIGIT_BIT (((CHAR_BIT * MP_SIZEOF_MP_DIGIT) - 1)) /* bits per digit */
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96 typedef uint_least32_t mp_min_u32;
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97 #else
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98 typedef mp_digit mp_min_u32;
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99 #endif
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100
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101 #define MP_DIGIT_BIT DIGIT_BIT
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102 #define MP_MASK ((((mp_digit)1)<<((mp_digit)DIGIT_BIT))-((mp_digit)1))
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103 #define MP_DIGIT_MAX MP_MASK
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104
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105 /* equalities */
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106 #define MP_LT -1 /* less than */
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107 #define MP_EQ 0 /* equal to */
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108 #define MP_GT 1 /* greater than */
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109
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110 #define MP_ZPOS 0 /* positive integer */
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111 #define MP_NEG 1 /* negative */
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112
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113 #define MP_OKAY 0 /* ok result */
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114 #define MP_MEM -2 /* out of mem */
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115 #define MP_VAL -3 /* invalid input */
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116 #define MP_RANGE MP_VAL
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117 #define MP_ITER -4 /* Max. iterations reached */
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118
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119 #define MP_YES 1 /* yes response */
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120 #define MP_NO 0 /* no response */
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121
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122 /* Primality generation flags */
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123 #define LTM_PRIME_BBS 0x0001 /* BBS style prime */
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124 #define LTM_PRIME_SAFE 0x0002 /* Safe prime (p-1)/2 == prime */
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125 #define LTM_PRIME_2MSB_ON 0x0008 /* force 2nd MSB to 1 */
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126
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127 typedef int mp_err;
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128
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129 /* you'll have to tune these... */
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130 extern int KARATSUBA_MUL_CUTOFF,
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131 KARATSUBA_SQR_CUTOFF,
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132 TOOM_MUL_CUTOFF,
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133 TOOM_SQR_CUTOFF;
284
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134
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135 /* define this to use lower memory usage routines (exptmods mostly) */
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136 /* #define MP_LOW_MEM */
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137
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138 /* default precision */
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139 #ifndef MP_PREC
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140 # ifndef MP_LOW_MEM
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141 # define MP_PREC 32 /* default digits of precision */
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142 # else
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143 # define MP_PREC 8 /* default digits of precision */
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144 # endif
284
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145 #endif
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146
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147 /* size of comba arrays, should be at least 2 * 2**(BITS_PER_WORD - BITS_PER_DIGIT*2) */
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148 #define MP_WARRAY (1u << (((sizeof(mp_word) * CHAR_BIT) - (2 * DIGIT_BIT)) + 1))
284
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149
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150 /* the infamous mp_int structure */
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151 typedef struct {
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152 int used, alloc, sign;
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153 mp_digit *dp;
284
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154 } mp_int;
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155
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156 /* callback for mp_prime_random, should fill dst with random bytes and return how many read [upto len] */
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157 typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat);
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158
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159
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160 #define USED(m) ((m)->used)
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161 #define DIGIT(m, k) ((m)->dp[(k)])
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162 #define SIGN(m) ((m)->sign)
284
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163
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164 /* error code to char* string */
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165 const char *mp_error_to_string(int code);
284
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166
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167 /* ---> init and deinit bignum functions <--- */
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168 /* init a bignum */
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169 int mp_init(mp_int *a);
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170
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171 /* free a bignum */
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172 void mp_clear(mp_int *a);
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173
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174 /* init a null terminated series of arguments */
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175 int mp_init_multi(mp_int *mp, ...);
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176
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177 /* clear a null terminated series of arguments */
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178 void mp_clear_multi(mp_int *mp, ...);
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179
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180 /* exchange two ints */
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181 void mp_exch(mp_int *a, mp_int *b);
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182
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183 /* shrink ram required for a bignum */
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184 int mp_shrink(mp_int *a);
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185
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186 /* grow an int to a given size */
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187 int mp_grow(mp_int *a, int size);
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188
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189 /* init to a given number of digits */
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190 int mp_init_size(mp_int *a, int size);
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191
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192 /* ---> Basic Manipulations <--- */
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193 #define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO)
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194 #define mp_iseven(a) ((((a)->used == 0) || (((a)->dp[0] & 1u) == 0u)) ? MP_YES : MP_NO)
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195 #define mp_isodd(a) ((((a)->used > 0) && (((a)->dp[0] & 1u) == 1u)) ? MP_YES : MP_NO)
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196 #define mp_isneg(a) (((a)->sign != MP_ZPOS) ? MP_YES : MP_NO)
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197
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198 /* set to zero */
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199 void mp_zero(mp_int *a);
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200
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201 /* set to a digit */
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202 void mp_set(mp_int *a, mp_digit b);
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203
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204 /* set a 32-bit const */
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205 int mp_set_int(mp_int *a, unsigned long b);
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206
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207 /* set a platform dependent unsigned long value */
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208 int mp_set_long(mp_int *a, unsigned long b);
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209
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210 /* set a platform dependent unsigned long long value */
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211 int mp_set_long_long(mp_int *a, unsigned long long b);
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212
284
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213 /* get a 32-bit value */
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214 unsigned long mp_get_int(const mp_int *a);
284
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215
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216 /* get a platform dependent unsigned long value */
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217 unsigned long mp_get_long(const mp_int *a);
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218
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219 /* get a platform dependent unsigned long long value */
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220 unsigned long long mp_get_long_long(const mp_int *a);
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221
284
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222 /* initialize and set a digit */
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223 int mp_init_set(mp_int *a, mp_digit b);
284
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224
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225 /* initialize and set 32-bit value */
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226 int mp_init_set_int(mp_int *a, unsigned long b);
284
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227
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228 /* copy, b = a */
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229 int mp_copy(const mp_int *a, mp_int *b);
284
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230
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231 /* inits and copies, a = b */
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232 int mp_init_copy(mp_int *a, const mp_int *b);
284
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233
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234 /* trim unused digits */
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235 void mp_clamp(mp_int *a);
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236
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237 /* import binary data */
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238 int mp_import(mp_int *rop, size_t count, int order, size_t size, int endian, size_t nails, const void *op);
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239
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240 /* export binary data */
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241 int mp_export(void *rop, size_t *countp, int order, size_t size, int endian, size_t nails, const mp_int *op);
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242
284
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243 /* ---> digit manipulation <--- */
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244
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245 /* right shift by "b" digits */
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246 void mp_rshd(mp_int *a, int b);
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247
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248 /* left shift by "b" digits */
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249 int mp_lshd(mp_int *a, int b);
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250
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251 /* c = a / 2**b, implemented as c = a >> b */
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252 int mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d);
284
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253
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254 /* b = a/2 */
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255 int mp_div_2(const mp_int *a, mp_int *b);
284
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256
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257 /* c = a * 2**b, implemented as c = a << b */
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258 int mp_mul_2d(const mp_int *a, int b, mp_int *c);
284
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259
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260 /* b = a*2 */
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261 int mp_mul_2(const mp_int *a, mp_int *b);
284
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262
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263 /* c = a mod 2**b */
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264 int mp_mod_2d(const mp_int *a, int b, mp_int *c);
284
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265
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266 /* computes a = 2**b */
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267 int mp_2expt(mp_int *a, int b);
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268
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269 /* Counts the number of lsbs which are zero before the first zero bit */
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270 int mp_cnt_lsb(const mp_int *a);
284
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271
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272 /* I Love Earth! */
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273
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274 /* makes a pseudo-random mp_int of a given size */
284
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275 int mp_rand(mp_int *a, int digits);
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276 /* makes a pseudo-random small int of a given size */
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277 int mp_rand_digit(mp_digit *r);
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278
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279 #ifdef MP_PRNG_ENABLE_LTM_RNG
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280 /* A last resort to provide random data on systems without any of the other
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281 * implemented ways to gather entropy.
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282 * It is compatible with `rng_get_bytes()` from libtomcrypt so you could
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283 * provide that one and then set `ltm_rng = rng_get_bytes;` */
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284 extern unsigned long (*ltm_rng)(unsigned char *out, unsigned long outlen, void (*callback)(void));
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285 extern void (*ltm_rng_callback)(void);
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286 #endif
284
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287
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parents:
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288 /* ---> binary operations <--- */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
289 /* c = a XOR b */
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Steffen Jaeckel <s_jaeckel@gmx.de>
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290 int mp_xor(const mp_int *a, const mp_int *b, mp_int *c);
284
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291
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
292 /* c = a OR b */
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
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293 int mp_or(const mp_int *a, const mp_int *b, mp_int *c);
284
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294
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Matt Johnston <matt@ucc.asn.au>
parents:
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295 /* c = a AND b */
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Steffen Jaeckel <s_jaeckel@gmx.de>
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296 int mp_and(const mp_int *a, const mp_int *b, mp_int *c);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
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297
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
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298 /* Checks the bit at position b and returns MP_YES
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Steffen Jaeckel <s_jaeckel@gmx.de>
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299 if the bit is 1, MP_NO if it is 0 and MP_VAL
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
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300 in case of error */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
301 int mp_get_bit(const mp_int *a, int b);
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Steffen Jaeckel <s_jaeckel@gmx.de>
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302
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
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303 /* c = a XOR b (two complement) */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
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304 int mp_tc_xor(const mp_int *a, const mp_int *b, mp_int *c);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
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305
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
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306 /* c = a OR b (two complement) */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
307 int mp_tc_or(const mp_int *a, const mp_int *b, mp_int *c);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
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308
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
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309 /* c = a AND b (two complement) */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
310 int mp_tc_and(const mp_int *a, const mp_int *b, mp_int *c);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
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311
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
312 /* right shift (two complement) */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
313 int mp_tc_div_2d(const mp_int *a, int b, mp_int *c);
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
314
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
315 /* ---> Basic arithmetic <--- */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
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diff changeset
316
1655
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Steffen Jaeckel <s_jaeckel@gmx.de>
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317 /* b = ~a */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
318 int mp_complement(const mp_int *a, mp_int *b);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
319
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
320 /* b = -a */
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
321 int mp_neg(const mp_int *a, mp_int *b);
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
322
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
323 /* b = |a| */
1655
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
324 int mp_abs(const mp_int *a, mp_int *b);
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
325
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
326 /* compare a to b */
1655
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
327 int mp_cmp(const mp_int *a, const mp_int *b);
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
328
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
329 /* compare |a| to |b| */
1655
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
330 int mp_cmp_mag(const mp_int *a, const mp_int *b);
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
331
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
332 /* c = a + b */
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
333 int mp_add(const mp_int *a, const mp_int *b, mp_int *c);
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
334
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
335 /* c = a - b */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
336 int mp_sub(const mp_int *a, const mp_int *b, mp_int *c);
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
337
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
338 /* c = a * b */
1655
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
339 int mp_mul(const mp_int *a, const mp_int *b, mp_int *c);
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
340
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
341 /* b = a*a */
1655
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
342 int mp_sqr(const mp_int *a, mp_int *b);
284
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
343
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
344 /* a/b => cb + d == a */
1655
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
345 int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d);
284
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
346
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
347 /* c = a mod b, 0 <= c < b */
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
348 int mp_mod(const mp_int *a, const mp_int *b, mp_int *c);
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
349
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
350 /* ---> single digit functions <--- */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
351
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
352 /* compare against a single digit */
1655
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
353 int mp_cmp_d(const mp_int *a, mp_digit b);
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
354
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
355 /* c = a + b */
1655
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
356 int mp_add_d(const mp_int *a, mp_digit b, mp_int *c);
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
357
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
358 /* c = a - b */
1655
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
359 int mp_sub_d(const mp_int *a, mp_digit b, mp_int *c);
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
360
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
361 /* c = a * b */
1655
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
362 int mp_mul_d(const mp_int *a, mp_digit b, mp_int *c);
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
363
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
364 /* a/b => cb + d == a */
1655
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
365 int mp_div_d(const mp_int *a, mp_digit b, mp_int *c, mp_digit *d);
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
366
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
367 /* a/3 => 3c + d == a */
1655
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
368 int mp_div_3(const mp_int *a, mp_int *c, mp_digit *d);
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
369
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
370 /* c = a**b */
1655
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
371 int mp_expt_d(const mp_int *a, mp_digit b, mp_int *c);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
372 int mp_expt_d_ex(const mp_int *a, mp_digit b, mp_int *c, int fast);
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
373
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
374 /* c = a mod b, 0 <= c < b */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
375 int mp_mod_d(const mp_int *a, mp_digit b, mp_digit *c);
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
376
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
377 /* ---> number theory <--- */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
378
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
379 /* d = a + b (mod c) */
1655
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
380 int mp_addmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
381
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
382 /* d = a - b (mod c) */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
383 int mp_submod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
384
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
385 /* d = a * b (mod c) */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
386 int mp_mulmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
387
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
388 /* c = a * a (mod b) */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
389 int mp_sqrmod(const mp_int *a, const mp_int *b, mp_int *c);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
390
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
391 /* c = 1/a (mod b) */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
392 int mp_invmod(const mp_int *a, const mp_int *b, mp_int *c);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
393
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
394 /* c = (a, b) */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
395 int mp_gcd(const mp_int *a, const mp_int *b, mp_int *c);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
396
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
397 /* produces value such that U1*a + U2*b = U3 */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
398 int mp_exteuclid(const mp_int *a, const mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
399
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
400 /* c = [a, b] or (a*b)/(a, b) */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
401 int mp_lcm(const mp_int *a, const mp_int *b, mp_int *c);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
402
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
403 /* 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
404 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
405 * 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
406 */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
407 int mp_n_root(const mp_int *a, mp_digit b, mp_int *c);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
408 int mp_n_root_ex(const mp_int *a, mp_digit b, mp_int *c, int fast);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
409
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
410 /* special sqrt algo */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
411 int mp_sqrt(const mp_int *arg, mp_int *ret);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
412
1436
60fc6476e044 Update to libtommath v1.0
Matt Johnston <matt@ucc.asn.au>
parents: 389
diff changeset
413 /* special sqrt (mod prime) */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
414 int mp_sqrtmod_prime(const mp_int *n, const mp_int *prime, mp_int *ret);
1436
60fc6476e044 Update to libtommath v1.0
Matt Johnston <matt@ucc.asn.au>
parents: 389
diff changeset
415
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
416 /* is number a square? */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
417 int mp_is_square(const mp_int *arg, int *ret);
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
418
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
419 /* computes the jacobi c = (a | n) (or Legendre if b is prime) */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
420 int mp_jacobi(const mp_int *a, const mp_int *n, int *c);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
421
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
422 /* computes the Kronecker symbol c = (a | p) (like jacobi() but with {a,p} in Z */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
423 int mp_kronecker(const mp_int *a, const mp_int *p, int *c);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
424
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
425 /* used to setup the Barrett reduction for a given modulus b */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
426 int mp_reduce_setup(mp_int *a, const mp_int *b);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
427
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
428 /* Barrett Reduction, computes a (mod b) with a precomputed value c
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
429 *
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
430 * Assumes that 0 < x <= m*m, note if 0 > x > -(m*m) then you can merely
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
431 * compute the reduction as -1 * mp_reduce(mp_abs(x)) [pseudo code].
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
432 */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
433 int mp_reduce(mp_int *x, const mp_int *m, const mp_int *mu);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
434
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
435 /* setups the montgomery reduction */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
436 int mp_montgomery_setup(const mp_int *n, mp_digit *rho);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
437
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
438 /* computes a = B**n mod b without division or multiplication useful for
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
439 * normalizing numbers in a Montgomery system.
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
440 */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
441 int mp_montgomery_calc_normalization(mp_int *a, const mp_int *b);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
442
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
443 /* computes x/R == x (mod N) via Montgomery Reduction */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
444 int mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
445
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
446 /* returns 1 if a is a valid DR modulus */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
447 int mp_dr_is_modulus(const mp_int *a);
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
448
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
449 /* sets the value of "d" required for mp_dr_reduce */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
450 void mp_dr_setup(const mp_int *a, mp_digit *d);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
451
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
452 /* reduces a modulo n using the Diminished Radix method */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
453 int mp_dr_reduce(mp_int *x, const mp_int *n, mp_digit k);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
454
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
455 /* returns true if a can be reduced with mp_reduce_2k */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
456 int mp_reduce_is_2k(const mp_int *a);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
457
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
458 /* determines k value for 2k reduction */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
459 int mp_reduce_2k_setup(const mp_int *a, mp_digit *d);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
460
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
461 /* reduces a modulo b where b is of the form 2**p - k [0 <= a] */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
462 int mp_reduce_2k(mp_int *a, const mp_int *n, mp_digit d);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
463
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
464 /* returns true if a can be reduced with mp_reduce_2k_l */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
465 int mp_reduce_is_2k_l(const mp_int *a);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
466
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
467 /* determines k value for 2k reduction */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
468 int mp_reduce_2k_setup_l(const mp_int *a, mp_int *d);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
469
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
470 /* reduces a modulo b where b is of the form 2**p - k [0 <= a] */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
471 int mp_reduce_2k_l(mp_int *a, const mp_int *n, const mp_int *d);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
472
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
473 /* Y = G**X (mod P) */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
474 int mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
475
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
476 /* ---> Primes <--- */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
477
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
478 /* number of primes */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
479 #ifdef MP_8BIT
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
480 # define PRIME_SIZE 31
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
481 #else
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
482 # define PRIME_SIZE 256
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
483 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
484
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
485 /* table of first PRIME_SIZE primes */
1436
60fc6476e044 Update to libtommath v1.0
Matt Johnston <matt@ucc.asn.au>
parents: 389
diff changeset
486 extern const mp_digit ltm_prime_tab[PRIME_SIZE];
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
487
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
488 /* result=1 if a is divisible by one of the first PRIME_SIZE primes */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
489 int mp_prime_is_divisible(const mp_int *a, int *result);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
490
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
491 /* performs one Fermat test of "a" using base "b".
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
492 * Sets result to 0 if composite or 1 if probable prime
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
493 */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
494 int mp_prime_fermat(const mp_int *a, const mp_int *b, int *result);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
495
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
496 /* performs one Miller-Rabin test of "a" using base "b".
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
497 * Sets result to 0 if composite or 1 if probable prime
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
498 */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
499 int mp_prime_miller_rabin(const mp_int *a, const mp_int *b, int *result);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
500
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
501 /* This gives [for a given bit size] the number of trials required
1436
60fc6476e044 Update to libtommath v1.0
Matt Johnston <matt@ucc.asn.au>
parents: 389
diff changeset
502 * such that Miller-Rabin gives a prob of failure lower than 2^-96
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
503 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
504 int mp_prime_rabin_miller_trials(int size);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
505
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
506 /* performs one strong Lucas-Selfridge test of "a".
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
507 * Sets result to 0 if composite or 1 if probable prime
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
508 */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
509 int mp_prime_strong_lucas_selfridge(const mp_int *a, int *result);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
510
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
511 /* performs one Frobenius test of "a" as described by Paul Underwood.
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
512 * Sets result to 0 if composite or 1 if probable prime
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
513 */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
514 int mp_prime_frobenius_underwood(const mp_int *N, int *result);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
515
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
516 /* performs t random rounds of Miller-Rabin on "a" additional to
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
517 * bases 2 and 3. Also performs an initial sieve of trial
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
518 * division. Determines if "a" is prime with probability
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
519 * of error no more than (1/4)**t.
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
520 * Both a strong Lucas-Selfridge to complete the BPSW test
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
521 * and a separate Frobenius test are available at compile time.
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
522 * With t<0 a deterministic test is run for primes up to
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
523 * 318665857834031151167461. With t<13 (abs(t)-13) additional
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
524 * tests with sequential small primes are run starting at 43.
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
525 * Is Fips 186.4 compliant if called with t as computed by
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
526 * mp_prime_rabin_miller_trials();
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
527 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
528 * Sets result to 1 if probably prime, 0 otherwise
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
529 */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
530 int mp_prime_is_prime(const mp_int *a, int t, int *result);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
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 /* finds the next prime after the number "a" using "t" trials
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
533 * of Miller-Rabin.
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
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 * bbs_style = 1 means the prime must be congruent to 3 mod 4
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
536 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
537 int mp_prime_next_prime(mp_int *a, int t, int bbs_style);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
538
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
539 /* makes a truly random prime of a given size (bytes),
1436
60fc6476e044 Update to libtommath v1.0
Matt Johnston <matt@ucc.asn.au>
parents: 389
diff changeset
540 * call with bbs = 1 if you want it to be congruent to 3 mod 4
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
541 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
542 * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
543 * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
544 * so it can be NULL
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
545 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
546 * The prime generated will be larger than 2^(8*size).
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
547 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
548 #define mp_prime_random(a, t, size, bbs, cb, dat) mp_prime_random_ex(a, t, ((size) * 8) + 1, (bbs==1)?LTM_PRIME_BBS:0, cb, dat)
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 /* makes a truly random prime of a given size (bits),
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
551 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
552 * Flags are as follows:
1436
60fc6476e044 Update to libtommath v1.0
Matt Johnston <matt@ucc.asn.au>
parents: 389
diff changeset
553 *
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
554 * LTM_PRIME_BBS - make prime congruent to 3 mod 4
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
555 * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
556 * LTM_PRIME_2MSB_ON - make the 2nd highest bit one
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
557 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
558 * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
559 * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
560 * so it can be NULL
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
561 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
562 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
563 int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback cb, void *dat);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
564
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
565 /* ---> radix conversion <--- */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
566 int mp_count_bits(const mp_int *a);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
567
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
568 int mp_unsigned_bin_size(const mp_int *a);
389
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
569 int mp_read_unsigned_bin(mp_int *a, const unsigned char *b, int c);
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
570 int mp_to_unsigned_bin(const mp_int *a, unsigned char *b);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
571 int mp_to_unsigned_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
572
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
573 int mp_signed_bin_size(const mp_int *a);
389
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
574 int mp_read_signed_bin(mp_int *a, const unsigned char *b, int c);
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
575 int mp_to_signed_bin(const mp_int *a, unsigned char *b);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
576 int mp_to_signed_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen);
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
577
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
578 int mp_read_radix(mp_int *a, const char *str, int radix);
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
579 int mp_toradix(const mp_int *a, char *str, int radix);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
580 int mp_toradix_n(const mp_int *a, char *str, int radix, int maxlen);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
581 int mp_radix_size(const mp_int *a, int radix, int *size);
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
582
1436
60fc6476e044 Update to libtommath v1.0
Matt Johnston <matt@ucc.asn.au>
parents: 389
diff changeset
583 #ifndef LTM_NO_FILE
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
584 int mp_fread(mp_int *a, int radix, FILE *stream);
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
585 int mp_fwrite(const mp_int *a, int radix, FILE *stream);
1436
60fc6476e044 Update to libtommath v1.0
Matt Johnston <matt@ucc.asn.au>
parents: 389
diff changeset
586 #endif
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
587
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
588 #define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len))
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
589 #define mp_raw_size(mp) mp_signed_bin_size(mp)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
590 #define mp_toraw(mp, str) mp_to_signed_bin((mp), (str))
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
591 #define mp_read_mag(mp, str, len) mp_read_unsigned_bin((mp), (str), (len))
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
592 #define mp_mag_size(mp) mp_unsigned_bin_size(mp)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
593 #define mp_tomag(mp, str) mp_to_unsigned_bin((mp), (str))
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
594
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
595 #define mp_tobinary(M, S) mp_toradix((M), (S), 2)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
596 #define mp_tooctal(M, S) mp_toradix((M), (S), 8)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
597 #define mp_todecimal(M, S) mp_toradix((M), (S), 10)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
598 #define mp_tohex(M, S) mp_toradix((M), (S), 16)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
599
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
600 #ifdef __cplusplus
1655
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
601 }
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
602 #endif
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
603
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
604 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
605
389
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Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
606
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
607 /* ref: HEAD -> master, tag: v1.1.0 */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
608 /* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
609 /* commit time: 2019-01-28 20:32:32 +0100 */