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annotate nss/lib/freebl/mpi/mpi.h @ 4:b513267f632f tip

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Build DBM module
author Andre Heinecke <andre.heinecke@intevation.de>
date Tue, 05 Aug 2014 18:58:03 +0200
parents 1e5118fa0cb1
children
rev   line source
0
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1 /*
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2 * mpi.h
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3 *
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4 * Arbitrary precision integer arithmetic library
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5 *
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6 * This Source Code Form is subject to the terms of the Mozilla Public
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7 * License, v. 2.0. If a copy of the MPL was not distributed with this
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8 * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
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9
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10 #ifndef _H_MPI_
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11 #define _H_MPI_
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12
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13 #include "mpi-config.h"
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14
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15 #if MP_DEBUG
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16 #undef MP_IOFUNC
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17 #define MP_IOFUNC 1
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18 #endif
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19
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20 #if MP_IOFUNC
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21 #include <stdio.h>
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22 #include <ctype.h>
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23 #endif
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24
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25 #include <limits.h>
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26
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27 #if defined(BSDI)
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28 #undef ULLONG_MAX
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29 #endif
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30
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31 #include <sys/types.h>
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32
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33 #define MP_NEG 1
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34 #define MP_ZPOS 0
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35
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36 #define MP_OKAY 0 /* no error, all is well */
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37 #define MP_YES 0 /* yes (boolean result) */
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38 #define MP_NO -1 /* no (boolean result) */
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39 #define MP_MEM -2 /* out of memory */
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40 #define MP_RANGE -3 /* argument out of range */
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41 #define MP_BADARG -4 /* invalid parameter */
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42 #define MP_UNDEF -5 /* answer is undefined */
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43 #define MP_LAST_CODE MP_UNDEF
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44
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45 typedef unsigned int mp_sign;
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46 typedef unsigned int mp_size;
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47 typedef int mp_err;
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48
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49 #define MP_32BIT_MAX 4294967295U
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50
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51 #if !defined(ULONG_MAX)
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52 #error "ULONG_MAX not defined"
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53 #elif !defined(UINT_MAX)
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54 #error "UINT_MAX not defined"
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55 #elif !defined(USHRT_MAX)
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56 #error "USHRT_MAX not defined"
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57 #endif
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58
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59 #if defined(ULLONG_MAX) /* C99, Solaris */
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60 #define MP_ULONG_LONG_MAX ULLONG_MAX
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61 /* MP_ULONG_LONG_MAX was defined to be ULLONG_MAX */
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62 #elif defined(ULONG_LONG_MAX) /* HPUX */
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63 #define MP_ULONG_LONG_MAX ULONG_LONG_MAX
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64 #elif defined(ULONGLONG_MAX) /* IRIX, AIX */
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65 #define MP_ULONG_LONG_MAX ULONGLONG_MAX
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66 #endif
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67
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68 /* We only use unsigned long for mp_digit iff long is more than 32 bits. */
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69 #if !defined(MP_USE_UINT_DIGIT) && ULONG_MAX > MP_32BIT_MAX
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70 typedef unsigned long mp_digit;
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71 #define MP_DIGIT_MAX ULONG_MAX
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72 #define MP_DIGIT_FMT "%016lX" /* printf() format for 1 digit */
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73 #define MP_HALF_DIGIT_MAX UINT_MAX
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74 #undef MP_NO_MP_WORD
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75 #define MP_NO_MP_WORD 1
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76 #undef MP_USE_LONG_DIGIT
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77 #define MP_USE_LONG_DIGIT 1
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78 #undef MP_USE_LONG_LONG_DIGIT
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79
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80 #elif !defined(MP_USE_UINT_DIGIT) && defined(MP_ULONG_LONG_MAX)
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81 typedef unsigned long long mp_digit;
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82 #define MP_DIGIT_MAX MP_ULONG_LONG_MAX
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83 #define MP_DIGIT_FMT "%016llX" /* printf() format for 1 digit */
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84 #define MP_HALF_DIGIT_MAX UINT_MAX
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85 #undef MP_NO_MP_WORD
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86 #define MP_NO_MP_WORD 1
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87 #undef MP_USE_LONG_LONG_DIGIT
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88 #define MP_USE_LONG_LONG_DIGIT 1
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89 #undef MP_USE_LONG_DIGIT
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90
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91 #else
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92 typedef unsigned int mp_digit;
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93 #define MP_DIGIT_MAX UINT_MAX
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94 #define MP_DIGIT_FMT "%08X" /* printf() format for 1 digit */
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95 #define MP_HALF_DIGIT_MAX USHRT_MAX
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96 #undef MP_USE_UINT_DIGIT
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97 #define MP_USE_UINT_DIGIT 1
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98 #undef MP_USE_LONG_LONG_DIGIT
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99 #undef MP_USE_LONG_DIGIT
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100 #endif
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101
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102 #if !defined(MP_NO_MP_WORD)
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103 #if defined(MP_USE_UINT_DIGIT) && \
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104 (defined(MP_ULONG_LONG_MAX) || (ULONG_MAX > UINT_MAX))
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105
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106 #if (ULONG_MAX > UINT_MAX)
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107 typedef unsigned long mp_word;
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108 typedef long mp_sword;
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109 #define MP_WORD_MAX ULONG_MAX
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110
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111 #else
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112 typedef unsigned long long mp_word;
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113 typedef long long mp_sword;
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114 #define MP_WORD_MAX MP_ULONG_LONG_MAX
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115 #endif
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116
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117 #else
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118 #define MP_NO_MP_WORD 1
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119 #endif
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120 #endif /* !defined(MP_NO_MP_WORD) */
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121
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122 #if !defined(MP_WORD_MAX) && defined(MP_DEFINE_SMALL_WORD)
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123 typedef unsigned int mp_word;
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124 typedef int mp_sword;
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125 #define MP_WORD_MAX UINT_MAX
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126 #endif
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127
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128 #define MP_DIGIT_BIT (CHAR_BIT*sizeof(mp_digit))
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129 #define MP_WORD_BIT (CHAR_BIT*sizeof(mp_word))
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130 #define MP_RADIX (1+(mp_word)MP_DIGIT_MAX)
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131
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132 #define MP_HALF_DIGIT_BIT (MP_DIGIT_BIT/2)
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133 #define MP_HALF_RADIX (1+(mp_digit)MP_HALF_DIGIT_MAX)
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134 /* MP_HALF_RADIX really ought to be called MP_SQRT_RADIX, but it's named
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135 ** MP_HALF_RADIX because it's the radix for MP_HALF_DIGITs, and it's
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136 ** consistent with the other _HALF_ names.
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137 */
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138
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139
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140 /* Macros for accessing the mp_int internals */
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141 #define MP_SIGN(MP) ((MP)->sign)
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142 #define MP_USED(MP) ((MP)->used)
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143 #define MP_ALLOC(MP) ((MP)->alloc)
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144 #define MP_DIGITS(MP) ((MP)->dp)
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145 #define MP_DIGIT(MP,N) (MP)->dp[(N)]
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146
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147 /* This defines the maximum I/O base (minimum is 2) */
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148 #define MP_MAX_RADIX 64
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149
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150 typedef struct {
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151 mp_sign sign; /* sign of this quantity */
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152 mp_size alloc; /* how many digits allocated */
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153 mp_size used; /* how many digits used */
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154 mp_digit *dp; /* the digits themselves */
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155 } mp_int;
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156
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157 /* Default precision */
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158 mp_size mp_get_prec(void);
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159 void mp_set_prec(mp_size prec);
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160
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161 /* Memory management */
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162 mp_err mp_init(mp_int *mp);
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163 mp_err mp_init_size(mp_int *mp, mp_size prec);
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164 mp_err mp_init_copy(mp_int *mp, const mp_int *from);
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165 mp_err mp_copy(const mp_int *from, mp_int *to);
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166 void mp_exch(mp_int *mp1, mp_int *mp2);
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167 void mp_clear(mp_int *mp);
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168 void mp_zero(mp_int *mp);
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169 void mp_set(mp_int *mp, mp_digit d);
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170 mp_err mp_set_int(mp_int *mp, long z);
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171 #define mp_set_long(mp,z) mp_set_int(mp,z)
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172 mp_err mp_set_ulong(mp_int *mp, unsigned long z);
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173
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174 /* Single digit arithmetic */
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175 mp_err mp_add_d(const mp_int *a, mp_digit d, mp_int *b);
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176 mp_err mp_sub_d(const mp_int *a, mp_digit d, mp_int *b);
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177 mp_err mp_mul_d(const mp_int *a, mp_digit d, mp_int *b);
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178 mp_err mp_mul_2(const mp_int *a, mp_int *c);
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179 mp_err mp_div_d(const mp_int *a, mp_digit d, mp_int *q, mp_digit *r);
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180 mp_err mp_div_2(const mp_int *a, mp_int *c);
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181 mp_err mp_expt_d(const mp_int *a, mp_digit d, mp_int *c);
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182
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183 /* Sign manipulations */
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184 mp_err mp_abs(const mp_int *a, mp_int *b);
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185 mp_err mp_neg(const mp_int *a, mp_int *b);
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186
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187 /* Full arithmetic */
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188 mp_err mp_add(const mp_int *a, const mp_int *b, mp_int *c);
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189 mp_err mp_sub(const mp_int *a, const mp_int *b, mp_int *c);
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190 mp_err mp_mul(const mp_int *a, const mp_int *b, mp_int *c);
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191 #if MP_SQUARE
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192 mp_err mp_sqr(const mp_int *a, mp_int *b);
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193 #else
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194 #define mp_sqr(a, b) mp_mul(a, a, b)
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195 #endif
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196 mp_err mp_div(const mp_int *a, const mp_int *b, mp_int *q, mp_int *r);
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197 mp_err mp_div_2d(const mp_int *a, mp_digit d, mp_int *q, mp_int *r);
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198 mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c);
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199 mp_err mp_2expt(mp_int *a, mp_digit k);
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200 mp_err mp_sqrt(const mp_int *a, mp_int *b);
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201
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202 /* Modular arithmetic */
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203 #if MP_MODARITH
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204 mp_err mp_mod(const mp_int *a, const mp_int *m, mp_int *c);
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205 mp_err mp_mod_d(const mp_int *a, mp_digit d, mp_digit *c);
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206 mp_err mp_addmod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c);
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207 mp_err mp_submod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c);
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208 mp_err mp_mulmod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c);
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209 #if MP_SQUARE
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210 mp_err mp_sqrmod(const mp_int *a, const mp_int *m, mp_int *c);
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211 #else
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212 #define mp_sqrmod(a, m, c) mp_mulmod(a, a, m, c)
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213 #endif
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214 mp_err mp_exptmod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c);
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215 mp_err mp_exptmod_d(const mp_int *a, mp_digit d, const mp_int *m, mp_int *c);
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216 #endif /* MP_MODARITH */
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217
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218 /* Comparisons */
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219 int mp_cmp_z(const mp_int *a);
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220 int mp_cmp_d(const mp_int *a, mp_digit d);
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221 int mp_cmp(const mp_int *a, const mp_int *b);
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222 int mp_cmp_mag(mp_int *a, mp_int *b);
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223 int mp_cmp_int(const mp_int *a, long z);
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224 int mp_isodd(const mp_int *a);
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225 int mp_iseven(const mp_int *a);
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226
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227 /* Number theoretic */
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228 #if MP_NUMTH
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229 mp_err mp_gcd(mp_int *a, mp_int *b, mp_int *c);
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230 mp_err mp_lcm(mp_int *a, mp_int *b, mp_int *c);
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231 mp_err mp_xgcd(const mp_int *a, const mp_int *b, mp_int *g, mp_int *x, mp_int *y);
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232 mp_err mp_invmod(const mp_int *a, const mp_int *m, mp_int *c);
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233 mp_err mp_invmod_xgcd(const mp_int *a, const mp_int *m, mp_int *c);
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234 #endif /* end MP_NUMTH */
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235
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236 /* Input and output */
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237 #if MP_IOFUNC
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238 void mp_print(mp_int *mp, FILE *ofp);
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239 #endif /* end MP_IOFUNC */
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240
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241 /* Base conversion */
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242 mp_err mp_read_raw(mp_int *mp, char *str, int len);
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243 int mp_raw_size(mp_int *mp);
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244 mp_err mp_toraw(mp_int *mp, char *str);
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245 mp_err mp_read_radix(mp_int *mp, const char *str, int radix);
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246 mp_err mp_read_variable_radix(mp_int *a, const char * str, int default_radix);
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247 int mp_radix_size(mp_int *mp, int radix);
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248 mp_err mp_toradix(mp_int *mp, char *str, int radix);
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249 int mp_tovalue(char ch, int r);
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250
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251 #define mp_tobinary(M, S) mp_toradix((M), (S), 2)
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252 #define mp_tooctal(M, S) mp_toradix((M), (S), 8)
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253 #define mp_todecimal(M, S) mp_toradix((M), (S), 10)
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254 #define mp_tohex(M, S) mp_toradix((M), (S), 16)
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255
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256 /* Error strings */
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257 const char *mp_strerror(mp_err ec);
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258
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259 /* Octet string conversion functions */
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260 mp_err mp_read_unsigned_octets(mp_int *mp, const unsigned char *str, mp_size len);
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261 int mp_unsigned_octet_size(const mp_int *mp);
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262 mp_err mp_to_unsigned_octets(const mp_int *mp, unsigned char *str, mp_size maxlen);
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263 mp_err mp_to_signed_octets(const mp_int *mp, unsigned char *str, mp_size maxlen);
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264 mp_err mp_to_fixlen_octets(const mp_int *mp, unsigned char *str, mp_size len);
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265
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266 /* Miscellaneous */
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267 mp_size mp_trailing_zeros(const mp_int *mp);
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268 void freebl_cpuid(unsigned long op, unsigned long *eax,
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269 unsigned long *ebx, unsigned long *ecx,
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270 unsigned long *edx);
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271
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272
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273 #define MP_CHECKOK(x) if (MP_OKAY > (res = (x))) goto CLEANUP
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274 #define MP_CHECKERR(x) if (MP_OKAY > (res = (x))) goto CLEANUP
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275
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276 #if defined(MP_API_COMPATIBLE)
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277 #define NEG MP_NEG
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278 #define ZPOS MP_ZPOS
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279 #define DIGIT_MAX MP_DIGIT_MAX
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280 #define DIGIT_BIT MP_DIGIT_BIT
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281 #define DIGIT_FMT MP_DIGIT_FMT
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282 #define RADIX MP_RADIX
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283 #define MAX_RADIX MP_MAX_RADIX
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284 #define SIGN(MP) MP_SIGN(MP)
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285 #define USED(MP) MP_USED(MP)
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286 #define ALLOC(MP) MP_ALLOC(MP)
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287 #define DIGITS(MP) MP_DIGITS(MP)
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288 #define DIGIT(MP,N) MP_DIGIT(MP,N)
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289
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290 #if MP_ARGCHK == 1
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291 #define ARGCHK(X,Y) {if(!(X)){return (Y);}}
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292 #elif MP_ARGCHK == 2
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293 #include <assert.h>
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294 #define ARGCHK(X,Y) assert(X)
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295 #else
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296 #define ARGCHK(X,Y) /* */
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297 #endif
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298 #endif /* defined MP_API_COMPATIBLE */
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299
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300 #endif /* end _H_MPI_ */
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