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1 /* |
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2 mpi.h |
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3 |
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4 by Michael J. Fromberger <[email protected]> |
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5 Copyright (C) 1998 Michael J. Fromberger, All Rights Reserved |
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6 |
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7 Arbitrary precision integer arithmetic library |
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8 |
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9 $Id: mpi.h,v 1.15 2001/09/17 14:16:22 sting Exp $ |
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10 */ |
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11 |
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12 #ifndef _H_MPI_ |
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13 #define _H_MPI_ |
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14 |
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15 #include "mpi-config.h" |
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16 |
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17 #define MP_LT -1 |
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18 #define MP_EQ 0 |
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19 #define MP_GT 1 |
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20 |
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21 #if MP_DEBUG |
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22 #undef MP_IOFUNC |
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23 #define MP_IOFUNC 1 |
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24 #endif |
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25 |
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26 #if MP_IOFUNC |
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27 #include <stdio.h> |
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28 #include <ctype.h> |
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29 #endif |
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30 |
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31 #include <limits.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 /* Included for compatibility... */ |
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37 #define NEG MP_NEG |
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38 #define ZPOS MP_ZPOS |
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39 |
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40 #define MP_OKAY 0 /* no error, all is well */ |
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41 #define MP_YES 0 /* yes (boolean result) */ |
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42 #define MP_NO -1 /* no (boolean result) */ |
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43 #define MP_MEM -2 /* out of memory */ |
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44 #define MP_RANGE -3 /* argument out of range */ |
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45 #define MP_BADARG -4 /* invalid parameter */ |
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46 #define MP_UNDEF -5 /* answer is undefined */ |
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47 #define MP_LAST_CODE MP_UNDEF |
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48 |
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49 #include "mpi-types.h" |
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50 |
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51 /* Included for compatibility... */ |
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52 #define DIGIT_BIT MP_DIGIT_BIT |
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53 #define DIGIT_MAX MP_DIGIT_MAX |
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54 |
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55 /* Macros for accessing the mp_int internals */ |
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56 #define SIGN(MP) ((MP)->sign) |
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57 #define USED(MP) ((MP)->used) |
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58 #define ALLOC(MP) ((MP)->alloc) |
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59 #define DIGITS(MP) ((MP)->dp) |
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60 #define DIGIT(MP,N) (MP)->dp[(N)] |
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61 |
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62 #if MP_ARGCHK == 1 |
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63 #define ARGCHK(X,Y) {if(!(X)){return (Y);}} |
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64 #elif MP_ARGCHK == 2 |
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65 #include <assert.h> |
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66 #define ARGCHK(X,Y) assert(X) |
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67 #else |
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68 #define ARGCHK(X,Y) /* */ |
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69 #endif |
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70 |
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71 /* This defines the maximum I/O base (minimum is 2) */ |
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72 #define MAX_RADIX 64 |
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73 |
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74 typedef struct { |
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75 mp_sign sign; /* sign of this quantity */ |
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76 mp_size alloc; /* how many digits allocated */ |
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77 mp_size used; /* how many digits used */ |
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78 mp_digit *dp; /* the digits themselves */ |
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79 } mp_int; |
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80 |
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81 /*------------------------------------------------------------------------*/ |
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82 /* Default precision */ |
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83 |
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84 unsigned int mp_get_prec(void); |
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85 void mp_set_prec(unsigned int prec); |
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86 |
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87 /*------------------------------------------------------------------------*/ |
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88 /* Memory management */ |
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89 |
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90 mp_err mp_init(mp_int *mp); |
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91 mp_err mp_init_array(mp_int mp[], int count); |
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92 mp_err mp_init_size(mp_int *mp, mp_size prec); |
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93 mp_err mp_init_copy(mp_int *mp, mp_int *from); |
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94 mp_err mp_copy(mp_int *from, mp_int *to); |
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95 void mp_exch(mp_int *mp1, mp_int *mp2); |
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96 void mp_clear(mp_int *mp); |
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97 void mp_clear_array(mp_int mp[], int count); |
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98 void mp_zero(mp_int *mp); |
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99 void mp_set(mp_int *mp, mp_digit d); |
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100 mp_err mp_set_int(mp_int *mp, long z); |
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101 mp_err mp_shrink(mp_int *a); |
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102 |
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103 |
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104 /*------------------------------------------------------------------------*/ |
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105 /* Single digit arithmetic */ |
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106 |
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107 mp_err mp_add_d(mp_int *a, mp_digit d, mp_int *b); |
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108 mp_err mp_sub_d(mp_int *a, mp_digit d, mp_int *b); |
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109 mp_err mp_mul_d(mp_int *a, mp_digit d, mp_int *b); |
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110 mp_err mp_mul_2(mp_int *a, mp_int *c); |
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111 mp_err mp_div_d(mp_int *a, mp_digit d, mp_int *q, mp_digit *r); |
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112 mp_err mp_div_2(mp_int *a, mp_int *c); |
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113 mp_err mp_expt_d(mp_int *a, mp_digit d, mp_int *c); |
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114 |
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115 /*------------------------------------------------------------------------*/ |
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116 /* Sign manipulations */ |
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117 |
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118 mp_err mp_abs(mp_int *a, mp_int *b); |
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119 mp_err mp_neg(mp_int *a, mp_int *b); |
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120 |
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121 /*------------------------------------------------------------------------*/ |
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122 /* Full arithmetic */ |
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123 |
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124 mp_err mp_add(mp_int *a, mp_int *b, mp_int *c); |
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125 mp_err mp_sub(mp_int *a, mp_int *b, mp_int *c); |
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126 mp_err mp_mul(mp_int *a, mp_int *b, mp_int *c); |
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127 mp_err mp_mul_2d(mp_int *a, mp_digit d, mp_int *c); |
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128 #if MP_SQUARE |
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129 mp_err mp_sqr(mp_int *a, mp_int *b); |
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130 #else |
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131 #define mp_sqr(a, b) mp_mul(a, a, b) |
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132 #endif |
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133 mp_err mp_div(mp_int *a, mp_int *b, mp_int *q, mp_int *r); |
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134 mp_err mp_div_2d(mp_int *a, mp_digit d, mp_int *q, mp_int *r); |
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135 mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c); |
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136 mp_err mp_2expt(mp_int *a, mp_digit k); |
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137 mp_err mp_sqrt(mp_int *a, mp_int *b); |
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138 |
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139 /*------------------------------------------------------------------------*/ |
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140 /* Modular arithmetic */ |
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141 |
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142 #if MP_MODARITH |
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143 mp_err mp_mod(mp_int *a, mp_int *m, mp_int *c); |
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144 mp_err mp_mod_d(mp_int *a, mp_digit d, mp_digit *c); |
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145 mp_err mp_addmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c); |
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146 mp_err mp_submod(mp_int *a, mp_int *b, mp_int *m, mp_int *c); |
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147 mp_err mp_mulmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c); |
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148 #if MP_SQUARE |
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149 mp_err mp_sqrmod(mp_int *a, mp_int *m, mp_int *c); |
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150 #else |
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151 #define mp_sqrmod(a, m, c) mp_mulmod(a, a, m, c) |
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152 #endif |
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153 mp_err mp_exptmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c); |
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154 mp_err mp_exptmod_d(mp_int *a, mp_digit d, mp_int *m, mp_int *c); |
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155 #endif /* MP_MODARITH */ |
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156 |
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157 /*------------------------------------------------------------------------*/ |
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158 /* Comparisons */ |
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159 |
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160 int mp_cmp_z(mp_int *a); |
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161 int mp_cmp_d(mp_int *a, mp_digit d); |
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162 int mp_cmp(mp_int *a, mp_int *b); |
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163 int mp_cmp_mag(mp_int *a, mp_int *b); |
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164 int mp_cmp_int(mp_int *a, long z); |
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165 int mp_isodd(mp_int *a); |
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166 int mp_iseven(mp_int *a); |
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167 |
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168 /*------------------------------------------------------------------------*/ |
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169 /* Number theoretic */ |
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170 |
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171 #if MP_NUMTH |
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172 mp_err mp_gcd(mp_int *a, mp_int *b, mp_int *c); |
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173 mp_err mp_lcm(mp_int *a, mp_int *b, mp_int *c); |
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174 mp_err mp_xgcd(mp_int *a, mp_int *b, mp_int *g, mp_int *x, mp_int *y); |
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175 mp_err mp_invmod(mp_int *a, mp_int *m, mp_int *c); |
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176 #endif /* end MP_NUMTH */ |
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177 |
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178 /*------------------------------------------------------------------------*/ |
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179 /* Input and output */ |
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180 |
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181 #if MP_IOFUNC |
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182 void mp_print(mp_int *mp, FILE *ofp); |
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183 #endif /* end MP_IOFUNC */ |
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184 |
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185 /*------------------------------------------------------------------------*/ |
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186 /* Base conversion */ |
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187 |
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188 #define BITS 1 |
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189 #define BYTES CHAR_BIT |
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190 |
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191 mp_err mp_read_signed_bin(mp_int *mp, unsigned char *str, int len); |
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192 int mp_signed_bin_size(mp_int *mp); |
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193 mp_err mp_to_signed_bin(mp_int *mp, unsigned char *str); |
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194 |
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195 mp_err mp_read_unsigned_bin(mp_int *mp, unsigned char *str, int len); |
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196 int mp_unsigned_bin_size(mp_int *mp); |
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197 mp_err mp_to_unsigned_bin(mp_int *mp, unsigned char *str); |
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198 |
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199 int mp_count_bits(mp_int *mp); |
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200 |
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201 #if MP_COMPAT_MACROS |
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202 #define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len)) |
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203 #define mp_raw_size(mp) mp_signed_bin_size(mp) |
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204 #define mp_toraw(mp, str) mp_to_signed_bin((mp), (str)) |
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205 #define mp_read_mag(mp, str, len) mp_read_unsigned_bin((mp), (str), (len)) |
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206 #define mp_mag_size(mp) mp_unsigned_bin_size(mp) |
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207 #define mp_tomag(mp, str) mp_to_unsigned_bin((mp), (str)) |
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208 #endif |
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209 |
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210 mp_err mp_read_radix(mp_int *mp, unsigned char *str, int radix); |
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211 int mp_radix_size(mp_int *mp, int radix); |
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212 int mp_value_radix_size(int num, int qty, int radix); |
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213 mp_err mp_toradix(mp_int *mp, unsigned char *str, int radix); |
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214 |
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215 int mp_char2value(char ch, int r); |
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216 |
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217 #define mp_tobinary(M, S) mp_toradix((M), (S), 2) |
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218 #define mp_tooctal(M, S) mp_toradix((M), (S), 8) |
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219 #define mp_todecimal(M, S) mp_toradix((M), (S), 10) |
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220 #define mp_tohex(M, S) mp_toradix((M), (S), 16) |
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221 |
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222 /*------------------------------------------------------------------------*/ |
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223 /* Error strings */ |
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224 |
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225 const char *mp_strerror(mp_err ec); |
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226 |
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227 #endif /* end _H_MPI_ */ |
