1 | /* Implementation of bignums by Henrik.Johansson@Nexus.Comm.SE in 1991
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2 | * version 1.2
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3 | */
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4 |
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5 | /* Modifications in this file (Nov 1999, Rainer Wichmann):
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6 | * - a few compiler warnings fixed:
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7 | * gcc insists on 'if ( ( b_eq_qr = ((b == q) || (b == r)) ) )'
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8 | * instead of 'if ( b_eq_qr = ((b == q) || (b == r)) )'
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9 | * - code that is not used in samhain is #defined out by:
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10 | * #if (defined (SH_WITH_CLIENT) || defined (SH_WITH_SERVER))
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11 | * or
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12 | * #ifdef UNUSED_CODE
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13 | * - the error message (error_string[]) is enclosed in N_(),_() macros
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14 | * - the following four #includes have been added
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15 | */
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16 | #include "config_xor.h"
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17 |
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18 |
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19 | #include <string.h>
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20 |
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21 | #ifdef HAVE_MEMORY_H
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22 | #include <memory.h>
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23 | #endif
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24 |
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25 | #include "samhain.h"
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26 | #include "bignum.h"
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27 |
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28 |
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29 | #if (!defined(HAVE_LIBGMP) || !defined(HAVE_GMP_H)) && (defined (SH_WITH_CLIENT) || defined (SH_WITH_SERVER))
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30 |
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31 | #define DIGIT BIGNUM_DIGIT
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32 | #define DIGIT2 BIGNUM_TWO_DIGITS
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33 |
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34 | #ifndef TRUE
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35 | #define TRUE (1 == 1)
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36 | #endif
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37 | #ifndef FALSE
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38 | #define FALSE (1 != 1)
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39 | #endif
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40 |
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41 |
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42 | #define MIN_ALLOC ((sizeof(long) / sizeof(DIGIT)) << 1)
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43 |
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44 | /* Don't expect the "sign" field to have the right value (BIG_SIGN_0) at
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45 | * all times, so compare real content of bignum with zerop.
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46 | * Maybe it would be better to be sure at all times that the sign is right?
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47 | */
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48 | #define zerop(BIG) ((*(BIG)->dp == 0) && ((BIG)->dgs_used == 1))
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49 | #define uonep(BIG) ((*(BIG)->dp == 1) && ((BIG)->dgs_used == 1))
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50 | #define NEGATE_SIGN(SGN) (-(SGN))
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51 |
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52 | #define DIGIT_BITS BIGNUM_DIGIT_BITS
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53 | #define DIGIT2_BITS BIGNUM_TWO_DIGITS_BITS
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54 |
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55 | #define DIGIT_PART(N) ((DIGIT)((N) & ((((DIGIT2)1) << DIGIT_BITS) - 1)))
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56 | #define RESULT_MINUSP(RES) (((RES) & ((DIGIT2)1 << (DIGIT2_BITS - 1))) != 0)
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57 | #define SHIFT_DIGIT_DOWN(N) (DIGIT_PART((N) >> DIGIT_BITS))
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58 | #define SHIFT_DIGIT_UP(N) ((DIGIT2)((N) << DIGIT_BITS))
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59 |
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60 | #define DIGIT_BASE (((DIGIT2)1) << DIGIT_BITS)
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61 | #define MAX_DIGIT ((((DIGIT2)1) << DIGIT_BITS) - 1)
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62 |
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63 | #define uint unsigned int
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64 | #define ulong unsigned long
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65 |
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66 | char *last_string = NULL;
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67 | char *big_end_string = NULL;
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68 |
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69 | ulong length_last_string;
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70 | static char big_base_digits1[] =
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71 | N_("00112233445566778899AaBbCcDdEeFfGgHhIiJjKkLlMmNnOoPpQqRrSsTtUuVvWwXxYyZz");
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72 | static char error_string[] = N_("(big_errno != 0, something has gone wrong)");
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73 | static char big_base_digits[73] = "\0";
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74 |
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75 | bignum big_one;
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76 | bignum tmp_string, tmp_add, tmp_mul, tmp_q, tmp_r, tmp_rand, tmp_round;
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77 | DIGIT *tmp_digits;
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78 | ulong tmp_ulong;
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79 |
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80 | /* #define COUNT_ALLOC */
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81 | #ifdef COUNT_ALLOC
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82 | ulong dgs_alloc = 0, digits_freed = 0;
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83 | #endif
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84 |
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85 | int big_errno = BIG_OK;
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86 |
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87 | double log2tbl[] =
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88 | {
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89 | -1.0, -1.0,
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90 | 1.000000000000000, 1.584961891174317, 2.000000000000002, 2.321928024291994,
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91 | 2.584960937500003, 2.807353973388675, 3.000000000000004, 3.169923782348637,
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92 | 3.321928024291997, 3.459430694580083, 3.584960937500005, 3.700439453125006,
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93 | 3.807353973388678, 3.906888961791999, 4.000000000000014, 4.087459564208999,
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94 | 4.169921875000016, 4.247924804687517, 4.321926116943377, 4.392314910888691,
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95 | 4.459430694580098, 4.523559570312520, 4.584960937500021, 4.643856048584007,
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96 | 4.700439453125023, 4.754886627197290, 4.807353973388697, 4.857978820800807,
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97 | 4.906887054443386, 4.954193115234403, 5.000000000000028, 5.044391632080107,
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98 | 5.087459564209015, 5.129280090332062, 5.169921875000032
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99 | };
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100 |
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101 | struct digit_blocks
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102 | {
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103 | int digCnt;
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104 | DIGIT dig_base;
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105 | } big_block[37]; /* The code uses index 2 to 36 */
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106 |
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107 |
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108 | /* ----------------------------------------------------------------------
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109 | * All static utility functions are placed first in this file.
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110 | */
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111 |
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112 | #ifndef HAVE_STRCHR
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113 | static char * strchr (char * str_ptr, char ch)
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114 | {
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115 | do
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116 | {
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117 | if (*str_ptr == ch)
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118 | {
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119 | return str_ptr;
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120 | }
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121 | } while (*str_ptr++ != '\0');
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122 | return NULL;
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123 | }
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124 | #endif
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125 |
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126 | #if 0
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127 |
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128 | extern int printf();
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129 |
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130 | static void
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131 | print_digits(prefix, a)
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132 | char *prefix;
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133 | bignum *a;
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134 | {
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135 | unsigned long i;
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136 | ulong tmp;
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137 |
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138 | printf("%s", prefix);
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139 | if (a->sign == BIG_SIGN_MINUS)
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140 | {
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141 | printf("- ");
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142 | }
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143 | else
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144 | {
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145 | if (a->sign == BIG_SIGN_PLUS)
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146 | {
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147 | printf("+ ");
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148 | }
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149 | else
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150 | {
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151 | printf("+/- ");
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152 | }
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153 | }
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154 | for (i = a->dgs_used - 1; i > 0; i--)
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155 | {
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156 | tmp = a->dp[i];
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157 | printf("%lu, ", tmp);
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158 | }
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159 | tmp = *a->dp;
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160 | printf("%lu\n", tmp);
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161 | }
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162 |
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163 | #else
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164 |
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165 | #define print_digits(prefix, big) /* */
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166 |
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167 | #endif
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168 |
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169 | static void
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170 | init_digit_blocks(void)
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171 | {
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172 | uint digcnt, base;
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173 | DIGIT maxdigit, curdigit, tmp;
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174 |
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175 | for (base = 2; base <= 36; base++)
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176 | {
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177 | tmp = ((1 << (DIGIT_BITS - 1)) / base);
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178 | maxdigit = tmp * 2;
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179 | curdigit = 1;
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180 | digcnt = 0;
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181 | while (curdigit < maxdigit)
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182 | {
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183 | digcnt++;
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184 | curdigit *= base;
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185 | }
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186 | big_block[base].digCnt = digcnt;
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187 | big_block[base].dig_base = curdigit;
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188 | }
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189 | }
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190 |
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191 | #ifdef COUNT_ALLOC
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192 | static void
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193 | free_digits(DIGIT * dp, ulong count)
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194 | {
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195 | /* Mar 4 2000 R. Wichmann: check for dp == NULL */
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196 | if (!dp)
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197 | return;
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198 | digits_freed += count;
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199 | free((char *)dp);
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200 | dp = NULL;
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201 | }
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202 | #else
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203 | /* June 5 2000 R. Wichmann: check for dp == NULL */
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204 | /* #define free_digits(DP,CNT) free((char *)DP) */
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205 | static void
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206 | free_digits(DIGIT * dp, ulong count)
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207 | {
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208 | /* Mar 4 2000 R. Wichmann: check for dp == NULL */
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209 | if (!dp)
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210 | return;
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211 | (void) count;
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212 | free((char *)dp);
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213 | dp = NULL;
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214 | }
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215 | #endif
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216 |
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217 | static DIGIT *
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218 | allocate_digits(ulong alloclen)
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219 | {
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220 | DIGIT *digit_ptr;
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221 |
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222 | if (big_errno != BIG_OK)
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223 | {
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224 | return NULL;
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225 | }
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226 | #ifdef COUNT_ALLOC
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227 | dgs_alloc += alloclen;
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228 | #endif
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229 | digit_ptr = calloc(alloclen, sizeof(DIGIT));
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230 | if (digit_ptr == NULL)
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231 | {
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232 | big_errno = BIG_MEMERR;
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233 | return NULL;
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234 | }
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235 | return digit_ptr;
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236 | }
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237 |
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238 | static bigerr_t
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239 | newsize(DIGIT **dp_p, ulong *cursize_p, ulong minsz, ulong newsz)
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240 | {
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241 | if (*cursize_p >= minsz)
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242 | {
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243 | return big_errno;
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244 | }
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245 | free_digits(*dp_p, *cursize_p);
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246 | if (newsz < MIN_ALLOC)
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247 | {
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248 | newsz = MIN_ALLOC;
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249 | }
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250 | if ((*dp_p = allocate_digits(newsz)) == NULL)
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251 | {
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252 | return big_errno;
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253 | }
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254 | *cursize_p = newsz;
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255 | return big_errno;
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256 | }
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257 |
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258 | /* `memcpy' uses an `int' as counter. If an int can't hold a big enough
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259 | * counter, then `digits_cpy' becomes a function (and a little slower,
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260 | * probably. Unfortunately `memcpy' takes a signed counter, but _that_
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261 | * size of numbers are almost too big! Or isn't it?
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262 | */
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263 | #ifdef MEMCPY_LONG_COUNTER
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264 | /* extern char *memcpy(); */
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265 | #define digits_cpy(dst, src, count) memcpy((char *)(dst), (char *)(src), \
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266 | (count) * sizeof(DIGIT))
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267 | #else
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268 | static void
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269 | digits_cpy(DIGIT *dst, DIGIT *src, ulong count)
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270 | {
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271 | while (count-- > 0)
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272 | {
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273 | *dst++ = *src++;
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274 | }
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275 | }
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276 | #endif
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277 |
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278 | static DIGIT *
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279 | copy_digits(DIGIT *src, ulong cp_count, ulong alloclen)
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280 | {
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281 | DIGIT *dst;
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282 |
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283 | if (big_errno != BIG_OK)
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284 | {
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285 | return NULL;
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286 | }
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287 | if ((dst = allocate_digits(alloclen)) == NULL)
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288 | {
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289 | return NULL;
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290 | }
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291 | digits_cpy(dst, src, cp_count);
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292 | return dst;
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293 | }
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294 |
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295 | static void
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296 | add_digit(bignum * a, DIGIT d)
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297 | {
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298 | DIGIT2 res = d;
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299 | DIGIT *last_digit, *digit_ptr = a->dp, *digvect;
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300 |
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301 | last_digit = digit_ptr + a->dgs_used;
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302 | while (digit_ptr < last_digit)
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303 | {
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304 | res = *digit_ptr + res;
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305 | *digit_ptr = DIGIT_PART(res);
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306 | res = SHIFT_DIGIT_DOWN(res);
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307 | digit_ptr++;
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308 | if (res == 0)
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309 | {
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310 | break;
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311 | }
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312 | }
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313 | if (res != 0)
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314 | {
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315 | if (a->dgs_used < a->dgs_alloc)
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316 | {
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317 | *digit_ptr = DIGIT_PART(res);
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318 | }
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319 | else
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320 | {
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321 | if ((digvect = copy_digits(a->dp, a->dgs_used,
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322 | a->dgs_used + 4)) == NULL)
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323 | {
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324 | return; /* big_errno will be set to last error */
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325 | }
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326 | digvect[a->dgs_used] = DIGIT_PART(res);
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327 | free_digits(a->dp, a->dgs_alloc);
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328 | a->dgs_alloc = a->dgs_used + 4;
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329 | a->dp = digvect;
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330 | }
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331 | a->dgs_used++;
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332 | }
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333 | }
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334 |
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335 | static DIGIT
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336 | vect_div_digit(DIGIT *digvect, ulong *len, DIGIT d)
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337 | {
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338 | DIGIT *digit_ptr = digvect + *len - 1, newval;
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339 | DIGIT2 rest = 0;
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340 |
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341 | if (d == 0)
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342 | {
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343 | big_errno = BIG_DIV_ZERO;
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344 | return -1;
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345 | }
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346 | if (d == 1)
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347 | {
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348 | return 0;
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349 | }
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350 | while (digit_ptr >= digvect)
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351 | {
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352 | rest = (DIGIT2)SHIFT_DIGIT_UP(rest);
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353 | newval = DIGIT_PART((*digit_ptr + rest) / d);
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354 | rest = (*digit_ptr + rest) % d;
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355 | *digit_ptr = newval;
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356 | digit_ptr--;
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357 | }
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358 | if (*len > 1)
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359 | {
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360 | if (digvect[*len - 1] == 0)
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361 | {
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362 | *len -= 1;
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363 | }
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364 | }
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365 | return DIGIT_PART(rest);
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366 | }
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367 |
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368 | static DIGIT
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369 | udiv_digit(bignum *a, DIGIT d)
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370 | {
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371 | DIGIT res;
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372 |
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373 | res = vect_div_digit(a->dp, &a->dgs_used, d);
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374 | if (zerop(a))
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375 | {
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376 | a->sign = BIG_SIGN_0;
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377 | }
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378 | return res;
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379 | }
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380 |
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381 | static DIGIT
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382 | vect_mul_digit(DIGIT *digvect, ulong len, DIGIT x)
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383 | {
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384 | DIGIT *digit_ptr = digvect + len;
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385 | DIGIT2 res = 0;
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386 |
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387 | while (digvect < digit_ptr)
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388 | {
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389 | res += *digvect * (DIGIT2)x;
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390 | *digvect = DIGIT_PART(res);
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391 | res = SHIFT_DIGIT_DOWN(res);
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392 | digvect++;
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393 | }
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394 | return DIGIT_PART(res);
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395 | }
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396 |
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397 | static void
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398 | umul_digit(bignum *a, DIGIT x)
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399 | {
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400 | DIGIT ovfl, *digvect;
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401 |
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402 | ovfl = vect_mul_digit(a->dp, a->dgs_used, x);
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403 | if (ovfl != 0)
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404 | {
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405 | if (a->dgs_used < a->dgs_alloc)
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406 | {
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407 | a->dp[a->dgs_used] = ovfl;
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408 | }
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409 | else
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410 | {
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411 | digvect = copy_digits(a->dp,
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412 | a->dgs_used,
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413 | a->dgs_used + 4);
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414 | digvect[a->dgs_used] = ovfl;
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415 | free_digits(a->dp, a->dgs_alloc);
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416 | a->dgs_alloc = a->dgs_used + 4;
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417 | a->dp = digvect;
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418 | }
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419 | a->dgs_used++;
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420 | }
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421 | }
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422 |
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423 | static int
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424 | ucompare_digits(bignum *a, bignum *b)
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425 | {
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426 | DIGIT *a_ptr, *b_ptr;
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427 |
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428 | if (a->dgs_used == b->dgs_used)
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429 | {
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430 | a_ptr = a->dp + a->dgs_used - 1;
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431 | b_ptr = b->dp + b->dgs_used - 1;
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432 | while ((*a_ptr == *b_ptr) && (a_ptr >= a->dp))
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433 | {
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434 | a_ptr--;
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435 | b_ptr--;
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436 | }
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437 | if (a_ptr < a->dp)
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438 | {
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439 | return 0;
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440 | }
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441 | else
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442 | {
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443 | return (*a_ptr > *b_ptr) ? 1 : -1;
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444 | }
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445 | }
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446 | return (a->dgs_used > b->dgs_used) ? 1 : -1;
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447 | }
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448 |
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449 | static void
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450 | uadd_digits(bignum *a, bignum *b, bignum *c)
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451 | {
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452 | DIGIT *dp_x, *dp_y, *dp_z, *res_dp, *end_x, *end_y;
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453 | ulong len_x, len_y;
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454 | DIGIT2 res = 0;
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455 |
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456 | if (a->dgs_used > b->dgs_used)
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457 | {
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458 | dp_x = a->dp;
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459 | len_x = a->dgs_used;
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460 | dp_y = b->dp;
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461 | len_y = b->dgs_used;
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462 | }
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463 | else
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464 | {
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465 | dp_x = b->dp;
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466 | len_x = b->dgs_used;
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467 | dp_y = a->dp;
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468 | len_y = a->dgs_used;
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469 | }
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470 | end_x = dp_x + len_x;
|
---|
471 | end_y = dp_y + len_y;
|
---|
472 | if (c->dgs_alloc >= len_x)
|
---|
473 | {
|
---|
474 | dp_z = c->dp;
|
---|
475 | }
|
---|
476 | else
|
---|
477 | {
|
---|
478 | if (newsize(&tmp_add.dp, &tmp_add.dgs_alloc,
|
---|
479 | len_x, len_x + 4) != BIG_OK)
|
---|
480 | {
|
---|
481 | return;
|
---|
482 | }
|
---|
483 | dp_z = tmp_add.dp;
|
---|
484 | }
|
---|
485 | res_dp = dp_z;
|
---|
486 | while (dp_y < end_y)
|
---|
487 | {
|
---|
488 | res += ((DIGIT2)*dp_x++) + *dp_y++;
|
---|
489 | *res_dp++ = DIGIT_PART(res);
|
---|
490 | res = SHIFT_DIGIT_DOWN(res);
|
---|
491 | }
|
---|
492 | while (dp_x < end_x)
|
---|
493 | {
|
---|
494 | res += *dp_x++;
|
---|
495 | *res_dp++ = DIGIT_PART(res);
|
---|
496 | res = SHIFT_DIGIT_DOWN(res);
|
---|
497 | }
|
---|
498 | if (res != 0)
|
---|
499 | {
|
---|
500 | *res_dp++ = DIGIT_PART(res);
|
---|
501 | }
|
---|
502 |
|
---|
503 | if (dp_z != c->dp)
|
---|
504 | {
|
---|
505 | tmp_digits = c->dp;
|
---|
506 | c->dp = tmp_add.dp;
|
---|
507 | tmp_add.dp = tmp_digits;
|
---|
508 |
|
---|
509 | tmp_ulong = c->dgs_alloc;
|
---|
510 | c->dgs_alloc = tmp_add.dgs_alloc;
|
---|
511 | tmp_add.dgs_alloc = tmp_ulong;
|
---|
512 | }
|
---|
513 | c->dgs_used = res_dp - c->dp;
|
---|
514 | }
|
---|
515 |
|
---|
516 | static void
|
---|
517 | usub_digits(bignum *a, bignum *b, bignum *c)
|
---|
518 | {
|
---|
519 | DIGIT *dp_x, *dp_y, *dp_z, *res_dp, *end_x, *end_y;
|
---|
520 | ulong len_x, len_y;
|
---|
521 | DIGIT2 res = 0;
|
---|
522 |
|
---|
523 | dp_x = a->dp;
|
---|
524 | len_x = a->dgs_used;
|
---|
525 | dp_y = b->dp;
|
---|
526 | len_y = b->dgs_used;
|
---|
527 |
|
---|
528 | end_x = dp_x + len_x;
|
---|
529 | end_y = dp_y + len_y;
|
---|
530 | if (c->dgs_alloc >= len_x)
|
---|
531 | {
|
---|
532 | dp_z = c->dp;
|
---|
533 | }
|
---|
534 | else
|
---|
535 | {
|
---|
536 | if (newsize(&tmp_add.dp, &tmp_add.dgs_alloc,
|
---|
537 | len_x, len_x + 2) != BIG_OK)
|
---|
538 | {
|
---|
539 | return;
|
---|
540 | }
|
---|
541 | dp_z = tmp_add.dp;
|
---|
542 | }
|
---|
543 | res_dp = dp_z;
|
---|
544 | while (dp_y < end_y)
|
---|
545 | {
|
---|
546 | res = ((DIGIT2)*dp_x++) - *dp_y++ - RESULT_MINUSP(res);
|
---|
547 | *res_dp++ = DIGIT_PART(res);
|
---|
548 | }
|
---|
549 | while (dp_x < end_x)
|
---|
550 | {
|
---|
551 | res = *dp_x++ - RESULT_MINUSP(res);
|
---|
552 | *res_dp++ = DIGIT_PART(res);
|
---|
553 | }
|
---|
554 | #ifdef BIG_CHECK_LIMITS
|
---|
555 | if (RESULT_MINUSP(res) != 0)
|
---|
556 | {
|
---|
557 | big_errno = BIG_ALGERR;
|
---|
558 | return;
|
---|
559 | }
|
---|
560 | #endif
|
---|
561 | while ((*--res_dp == 0) && (res_dp > dp_z))
|
---|
562 | {
|
---|
563 | /* Move pointer down until we reach a non-zero */
|
---|
564 | }
|
---|
565 | if (dp_z != c->dp)
|
---|
566 | {
|
---|
567 | tmp_digits = c->dp;
|
---|
568 | c->dp = tmp_add.dp;
|
---|
569 | tmp_add.dp = tmp_digits;
|
---|
570 |
|
---|
571 | tmp_ulong = tmp_add.dgs_alloc;
|
---|
572 | tmp_add.dgs_alloc = c->dgs_alloc;
|
---|
573 | c->dgs_alloc = tmp_ulong;
|
---|
574 | }
|
---|
575 | c->dgs_used = res_dp - dp_z + 1;
|
---|
576 | }
|
---|
577 |
|
---|
578 | /*
|
---|
579 | * This (pseudo) random number generator is not very good. It has a long
|
---|
580 | * period [ 2 ^ (DIGIT_BITS * 2) (?)] before it starts with the same sequence
|
---|
581 | * again, but the lower bits are "less random" than they should be. I've
|
---|
582 | * solved it by using word of double length, and returning the upper bits.
|
---|
583 | * Please mail me if you know how to make it into a "more random" generator.
|
---|
584 | * One important thing though: it will have to reasonably fast.
|
---|
585 | * The good thing with this one is that it is very portable, but that doesn't
|
---|
586 | * help much when you want _good_ random numbers.
|
---|
587 | * Henrik.Johansson@Nexus.Comm.SE
|
---|
588 | */
|
---|
589 | #ifdef UNUSED_CODE
|
---|
590 | static DIGIT
|
---|
591 | rand(void)
|
---|
592 | {
|
---|
593 | static DIGIT2 x1 = 33, x2 = 45; /* Just give them two starting values */
|
---|
594 |
|
---|
595 | if (x2 = BIG_RAND_A2 * x2 + BIG_RAND_C2, x2 == 45)
|
---|
596 | {
|
---|
597 | x1 = BIG_RAND_A1 * x1 + BIG_RAND_C1;
|
---|
598 | }
|
---|
599 | return SHIFT_DIGIT_DOWN(x1 + x2); /* Skip least significant bits */
|
---|
600 | }
|
---|
601 | /* UNUSED_CODE */
|
---|
602 | #endif
|
---|
603 |
|
---|
604 | /* ----------------------------------------------------------------------
|
---|
605 | * All external functions comes here.
|
---|
606 | */
|
---|
607 |
|
---|
608 | bigerr_t
|
---|
609 | big_init_pkg()
|
---|
610 | {
|
---|
611 | strcpy (big_base_digits, _(big_base_digits1)); /* known to fit */
|
---|
612 | init_digit_blocks();
|
---|
613 | big_create(&tmp_string);
|
---|
614 | big_create(&tmp_add);
|
---|
615 | big_create(&tmp_mul);
|
---|
616 | big_create(&tmp_q);
|
---|
617 | big_create(&tmp_r);
|
---|
618 | big_create(&tmp_rand);
|
---|
619 | big_create(&big_one);
|
---|
620 | big_set_long((long)1, &big_one);
|
---|
621 | length_last_string = 10;
|
---|
622 | if ((last_string = calloc(1,length_last_string)) == NULL)
|
---|
623 | {
|
---|
624 | big_errno = BIG_MEMERR;
|
---|
625 | }
|
---|
626 | return big_errno;
|
---|
627 | }
|
---|
628 |
|
---|
629 | void
|
---|
630 | big_release_pkg()
|
---|
631 | {
|
---|
632 | big_destroy(&tmp_string);
|
---|
633 | big_destroy(&tmp_add);
|
---|
634 | big_destroy(&tmp_mul);
|
---|
635 | big_destroy(&tmp_q);
|
---|
636 | big_destroy(&tmp_r);
|
---|
637 | big_destroy(&tmp_round);
|
---|
638 | big_destroy(&big_one);
|
---|
639 | if (last_string != NULL)
|
---|
640 | free(last_string);
|
---|
641 | #ifdef COUNT_ALLOC
|
---|
642 | printf("Allocated digits: %lu\n", dgs_alloc);
|
---|
643 | printf("Freed digits: %lu\n", digits_freed);
|
---|
644 | #endif
|
---|
645 | }
|
---|
646 |
|
---|
647 | bigerr_t
|
---|
648 | big_create(a)
|
---|
649 | bignum *a;
|
---|
650 | {
|
---|
651 | /* Make sure that big_create alway returns a NULL bignum
|
---|
652 | * that can safely be destroyed.
|
---|
653 | */
|
---|
654 | if (a != NULL)
|
---|
655 | {
|
---|
656 | a->dp = NULL;
|
---|
657 | }
|
---|
658 | if (big_errno != BIG_OK)
|
---|
659 | {
|
---|
660 | return big_errno;
|
---|
661 | }
|
---|
662 | if (a == NULL)
|
---|
663 | {
|
---|
664 | big_errno = BIG_ARGERR;
|
---|
665 | return big_errno;
|
---|
666 | }
|
---|
667 |
|
---|
668 | a->sign = BIG_SIGN_0;
|
---|
669 | a->dgs_used = 1;
|
---|
670 | if ((a->dp = allocate_digits((long)sizeof(long))) == NULL)
|
---|
671 | {
|
---|
672 | return big_errno;
|
---|
673 | }
|
---|
674 | a->dgs_alloc = sizeof(long);
|
---|
675 | *a->dp = 0;
|
---|
676 | return big_errno;
|
---|
677 | }
|
---|
678 |
|
---|
679 | void
|
---|
680 | big_destroy(a)
|
---|
681 | bignum *a;
|
---|
682 | {
|
---|
683 | /* Mar 4, 2000 R. Wichmann: check for a == NULL */
|
---|
684 | /* free_digits() checks for a->dp == NULL */
|
---|
685 | if (a != NULL)
|
---|
686 | free_digits(a->dp, a->dgs_alloc);
|
---|
687 | }
|
---|
688 |
|
---|
689 | ulong
|
---|
690 | big_bitcount(a)
|
---|
691 | bignum *a;
|
---|
692 | {
|
---|
693 | int bits = 0;
|
---|
694 | DIGIT high_digit;
|
---|
695 |
|
---|
696 | if (big_errno != BIG_OK)
|
---|
697 | {
|
---|
698 | return 0;
|
---|
699 | }
|
---|
700 | high_digit = a->dp[a->dgs_used - 1];
|
---|
701 | while (high_digit != 0)
|
---|
702 | {
|
---|
703 | bits++;
|
---|
704 | high_digit >>= 1;
|
---|
705 | }
|
---|
706 | return DIGIT_BITS * (a->dgs_used - 1) + bits;
|
---|
707 | }
|
---|
708 |
|
---|
709 | bigerr_t
|
---|
710 | big_set_big(a, b)
|
---|
711 | bignum *a;
|
---|
712 | bignum *b;
|
---|
713 | {
|
---|
714 | if ((big_errno != BIG_OK) || (a == b))
|
---|
715 | {
|
---|
716 | return big_errno;
|
---|
717 | }
|
---|
718 | if (newsize(&b->dp, &b->dgs_alloc, a->dgs_used, a->dgs_used) != BIG_OK)
|
---|
719 | {
|
---|
720 | return big_errno;
|
---|
721 | }
|
---|
722 | b->dgs_used = a->dgs_used;
|
---|
723 | b->sign = a->sign;
|
---|
724 | digits_cpy(b->dp, a->dp, a->dgs_used);
|
---|
725 | return big_errno;
|
---|
726 | }
|
---|
727 |
|
---|
728 |
|
---|
729 | void
|
---|
730 | big_set_ulong(n, a)
|
---|
731 | ulong n;
|
---|
732 | bignum *a;
|
---|
733 | {
|
---|
734 | unsigned int i;
|
---|
735 |
|
---|
736 | if (big_errno != BIG_OK)
|
---|
737 | {
|
---|
738 | return;
|
---|
739 | }
|
---|
740 | if (n == 0)
|
---|
741 | {
|
---|
742 | *a->dp = 0;
|
---|
743 | a->dgs_used = 1;
|
---|
744 | a->sign = BIG_SIGN_0;
|
---|
745 | }
|
---|
746 | else
|
---|
747 | {
|
---|
748 | a->dgs_used = 0;
|
---|
749 | for (i = 0; i < sizeof(long) / sizeof(DIGIT); i++)
|
---|
750 | {
|
---|
751 | if (n == 0)
|
---|
752 | {
|
---|
753 | break;
|
---|
754 | }
|
---|
755 | a->dgs_used++;
|
---|
756 | a->dp[i] = DIGIT_PART(n);
|
---|
757 | n = SHIFT_DIGIT_DOWN(n);
|
---|
758 | }
|
---|
759 | a->sign = BIG_SIGN_PLUS;
|
---|
760 | }
|
---|
761 | print_digits("set_(u)long: a = ", a);
|
---|
762 | }
|
---|
763 |
|
---|
764 | void
|
---|
765 | big_set_long(n, a)
|
---|
766 | long n;
|
---|
767 | bignum *a;
|
---|
768 | {
|
---|
769 | ulong m;
|
---|
770 |
|
---|
771 | m = (n < 0) ? - n : n;
|
---|
772 | big_set_ulong(m, a);
|
---|
773 | if (!(n >= 0))
|
---|
774 | {
|
---|
775 | a->sign = BIG_SIGN_MINUS;
|
---|
776 | }
|
---|
777 | }
|
---|
778 |
|
---|
779 |
|
---|
780 | bigerr_t
|
---|
781 | big_set_string(numstr, base, a)
|
---|
782 | char *numstr;
|
---|
783 | int base;
|
---|
784 | bignum *a;
|
---|
785 | {
|
---|
786 | char *src, *maxdigit, *chrptr;
|
---|
787 | DIGIT dig_base, dig_sum, last_base;
|
---|
788 | int cnt, maxcnt;
|
---|
789 |
|
---|
790 | if (big_errno != BIG_OK)
|
---|
791 | {
|
---|
792 | return big_errno;
|
---|
793 | }
|
---|
794 |
|
---|
795 | big_end_string = numstr;
|
---|
796 | if ((base < 2) || (base > 36) || (numstr == NULL) || (a == NULL))
|
---|
797 | {
|
---|
798 | big_errno = BIG_ARGERR;
|
---|
799 | return big_errno;
|
---|
800 | }
|
---|
801 |
|
---|
802 | src = numstr;
|
---|
803 |
|
---|
804 | maxdigit = big_base_digits + (base << 1);
|
---|
805 |
|
---|
806 | maxcnt = big_block[base].digCnt;
|
---|
807 | dig_base = big_block[base].dig_base;
|
---|
808 | a->dgs_used = 1;
|
---|
809 | *a->dp = 0;
|
---|
810 | a->sign = BIG_SIGN_PLUS; /* Assume it will be positive */
|
---|
811 | while (strchr(" \t\n\r", *src) != NULL) /* Skip whitespaces */
|
---|
812 | {
|
---|
813 | src++;
|
---|
814 | }
|
---|
815 | if ((*src == '-') || (*src == '+')) /* First non-white is a sign? */
|
---|
816 | {
|
---|
817 | a->sign = (*src == '-') ? BIG_SIGN_MINUS : BIG_SIGN_PLUS;
|
---|
818 | src++;
|
---|
819 | }
|
---|
820 | chrptr = strchr(big_base_digits, *src);
|
---|
821 | if ((chrptr == NULL) || (chrptr >= maxdigit)) /* Next chr not a digit? */
|
---|
822 | {
|
---|
823 | big_end_string = src;
|
---|
824 | big_errno = BIG_ARGERR;
|
---|
825 | return big_errno;
|
---|
826 | }
|
---|
827 | while (*src == '0') /* Next chr a '0'? */
|
---|
828 | {
|
---|
829 | src++; /* Read past all '0'es */
|
---|
830 | }
|
---|
831 | chrptr = strchr(big_base_digits, *src);
|
---|
832 | if ((chrptr == NULL) || (chrptr >= maxdigit)) /* Next char not a digit */
|
---|
833 | {
|
---|
834 | big_end_string = src;
|
---|
835 | a->sign = BIG_SIGN_0; /* It was just a plain 0 */
|
---|
836 | return big_errno;
|
---|
837 | }
|
---|
838 | dig_sum = 0;
|
---|
839 | cnt = 0;
|
---|
840 | while ((chrptr = strchr(big_base_digits, *src)),
|
---|
841 | (chrptr != NULL) && (chrptr < maxdigit))
|
---|
842 | {
|
---|
843 | dig_sum = dig_sum * base + ((chrptr - big_base_digits) >> 1);
|
---|
844 | if (++cnt >= maxcnt)
|
---|
845 | {
|
---|
846 | umul_digit(a, dig_base);
|
---|
847 | add_digit(a, dig_sum);
|
---|
848 | dig_sum = 0;
|
---|
849 | cnt = 0;
|
---|
850 | }
|
---|
851 | src++;
|
---|
852 | }
|
---|
853 | if (cnt > 0)
|
---|
854 | {
|
---|
855 | last_base = base;
|
---|
856 | while (--cnt > 0)
|
---|
857 | {
|
---|
858 | last_base *= base;
|
---|
859 | }
|
---|
860 | umul_digit(a, last_base);
|
---|
861 | add_digit(a, dig_sum);
|
---|
862 | }
|
---|
863 | big_end_string = src;
|
---|
864 | return big_errno;
|
---|
865 | }
|
---|
866 |
|
---|
867 |
|
---|
868 | int
|
---|
869 | big_ulong(a, n)
|
---|
870 | bignum *a;
|
---|
871 | ulong *n;
|
---|
872 | {
|
---|
873 | ulong old_n;
|
---|
874 | DIGIT *dp;
|
---|
875 |
|
---|
876 | if (big_errno != BIG_OK)
|
---|
877 | {
|
---|
878 | return FALSE;
|
---|
879 | }
|
---|
880 | if (a->dgs_used > sizeof(ulong) / sizeof(DIGIT))
|
---|
881 | {
|
---|
882 | return FALSE;
|
---|
883 | }
|
---|
884 | dp = a->dp + a->dgs_used - 1;
|
---|
885 | old_n = *n = *dp--;
|
---|
886 | while ((dp >= a->dp) && (old_n < *n))
|
---|
887 | {
|
---|
888 | old_n = *n;
|
---|
889 | *n = SHIFT_DIGIT_UP(*n) + *dp--;
|
---|
890 | }
|
---|
891 | if (old_n >= *n)
|
---|
892 | {
|
---|
893 | return FALSE;
|
---|
894 | }
|
---|
895 | return FALSE;
|
---|
896 | }
|
---|
897 |
|
---|
898 | int
|
---|
899 | big_long(a, n)
|
---|
900 | bignum *a;
|
---|
901 | long *n;
|
---|
902 | {
|
---|
903 | long old_n;
|
---|
904 | DIGIT *dp;
|
---|
905 |
|
---|
906 | if (a->dgs_used > sizeof(ulong) / sizeof(DIGIT))
|
---|
907 | {
|
---|
908 | return FALSE;
|
---|
909 | }
|
---|
910 | dp = a->dp + a->dgs_used - 1;
|
---|
911 | old_n = *n = *dp--;
|
---|
912 | while ((dp >= a->dp) && (old_n <= *n))
|
---|
913 | {
|
---|
914 | old_n = *n;
|
---|
915 | *n = SHIFT_DIGIT_UP(*n) + *dp--;
|
---|
916 | }
|
---|
917 | if (old_n >= *n)
|
---|
918 | {
|
---|
919 | return FALSE;
|
---|
920 | }
|
---|
921 | if (a->sign == BIG_SIGN_MINUS)
|
---|
922 | {
|
---|
923 | *n = -*n;
|
---|
924 | }
|
---|
925 | return FALSE;
|
---|
926 | }
|
---|
927 |
|
---|
928 |
|
---|
929 | char *
|
---|
930 | big_string(a, base)
|
---|
931 | bignum *a;
|
---|
932 | int base;
|
---|
933 | {
|
---|
934 | ulong bit_length, str_length;
|
---|
935 | char *dst;
|
---|
936 | DIGIT dig_base, rem;
|
---|
937 | int cnt, maxcnt;
|
---|
938 |
|
---|
939 | if (big_errno != BIG_OK)
|
---|
940 | {
|
---|
941 | return _(error_string);
|
---|
942 | }
|
---|
943 | big_set_big(a, &tmp_string);
|
---|
944 | /* Need more room than minimum here... */
|
---|
945 | bit_length = tmp_string.dgs_used * DIGIT_BITS;
|
---|
946 | /* bit_length = big_bitcount(&tmp_string); */
|
---|
947 | str_length = (ulong)(bit_length / log2tbl[base] + 4);
|
---|
948 | if (str_length > length_last_string)
|
---|
949 | {
|
---|
950 | if (last_string != NULL)
|
---|
951 | free(last_string);
|
---|
952 | if ((last_string = calloc(1,str_length)) == NULL)
|
---|
953 | {
|
---|
954 | big_errno = BIG_MEMERR;
|
---|
955 | return NULL;
|
---|
956 | }
|
---|
957 | length_last_string = str_length;
|
---|
958 | }
|
---|
959 |
|
---|
960 | dst = last_string + length_last_string - 1;
|
---|
961 | *dst-- = '\0';
|
---|
962 | maxcnt = big_block[base].digCnt;
|
---|
963 | dig_base = big_block[base].dig_base;
|
---|
964 | while (tmp_string.dgs_used > 1)
|
---|
965 | {
|
---|
966 | rem = udiv_digit(&tmp_string, dig_base);
|
---|
967 | for (cnt = 0; cnt < maxcnt; cnt++)
|
---|
968 | {
|
---|
969 | *dst-- = big_base_digits[(rem % base) << 1];
|
---|
970 | rem /= base;
|
---|
971 | }
|
---|
972 | }
|
---|
973 | rem = *tmp_string.dp;
|
---|
974 | do
|
---|
975 | {
|
---|
976 | *dst-- = big_base_digits[(rem % base) << 1];
|
---|
977 | rem /= base;
|
---|
978 | } while (rem != 0);
|
---|
979 |
|
---|
980 | if (a->sign == BIG_SIGN_MINUS)
|
---|
981 | {
|
---|
982 | *dst = '-';
|
---|
983 | }
|
---|
984 | else
|
---|
985 | {
|
---|
986 | dst++;
|
---|
987 | }
|
---|
988 | return dst;
|
---|
989 | }
|
---|
990 |
|
---|
991 | bigerr_t
|
---|
992 | big_negate(a, b)
|
---|
993 | bignum *a;
|
---|
994 | bignum *b;
|
---|
995 | {
|
---|
996 | big_set_big(a, b);
|
---|
997 | b->sign = NEGATE_SIGN(a->sign);
|
---|
998 | return big_errno;
|
---|
999 | }
|
---|
1000 |
|
---|
1001 | int
|
---|
1002 | big_sign(a)
|
---|
1003 | bignum *a;
|
---|
1004 | {
|
---|
1005 | return a->sign;
|
---|
1006 | }
|
---|
1007 |
|
---|
1008 | bigerr_t
|
---|
1009 | big_abs(a, b)
|
---|
1010 | bignum *a;
|
---|
1011 | bignum *b;
|
---|
1012 | {
|
---|
1013 | big_set_big(a, b);
|
---|
1014 | if (a->sign == BIG_SIGN_MINUS)
|
---|
1015 | {
|
---|
1016 | b->sign = NEGATE_SIGN(a->sign);
|
---|
1017 | }
|
---|
1018 | return big_errno;
|
---|
1019 | }
|
---|
1020 |
|
---|
1021 | int
|
---|
1022 | big_compare(a, b)
|
---|
1023 | bignum *a;
|
---|
1024 | bignum *b;
|
---|
1025 | {
|
---|
1026 | if (a->sign == b->sign)
|
---|
1027 | {
|
---|
1028 | if (a->sign == 0)
|
---|
1029 | {
|
---|
1030 | return 0;
|
---|
1031 | }
|
---|
1032 | return
|
---|
1033 | (a->sign == BIG_SIGN_MINUS)
|
---|
1034 | ? -ucompare_digits(a, b)
|
---|
1035 | : ucompare_digits(a, b);
|
---|
1036 | }
|
---|
1037 | return b->sign - a->sign;
|
---|
1038 | }
|
---|
1039 |
|
---|
1040 | int
|
---|
1041 | big_lessp(a, b)
|
---|
1042 | bignum *a;
|
---|
1043 | bignum *b;
|
---|
1044 | {
|
---|
1045 | return big_compare(a, b) < 0;
|
---|
1046 | }
|
---|
1047 |
|
---|
1048 | int
|
---|
1049 | big_leqp(a, b)
|
---|
1050 | bignum *a;
|
---|
1051 | bignum *b;
|
---|
1052 | {
|
---|
1053 | return !(big_compare(a, b) > 0);
|
---|
1054 | }
|
---|
1055 |
|
---|
1056 | int
|
---|
1057 | big_equalp(a, b)
|
---|
1058 | bignum *a;
|
---|
1059 | bignum *b;
|
---|
1060 | {
|
---|
1061 | return big_compare(a, b) == 0;
|
---|
1062 | }
|
---|
1063 |
|
---|
1064 | int
|
---|
1065 | big_geqp(a, b)
|
---|
1066 | bignum *a;
|
---|
1067 | bignum *b;
|
---|
1068 | {
|
---|
1069 | return !(big_compare(a, b) < 0);
|
---|
1070 | }
|
---|
1071 |
|
---|
1072 | int
|
---|
1073 | big_greaterp(a, b)
|
---|
1074 | bignum *a;
|
---|
1075 | bignum *b;
|
---|
1076 | {
|
---|
1077 | return big_compare(a, b) > 0;
|
---|
1078 | }
|
---|
1079 |
|
---|
1080 | int
|
---|
1081 | big_zerop(a)
|
---|
1082 | bignum *a;
|
---|
1083 | {
|
---|
1084 | return a->sign == BIG_SIGN_0;
|
---|
1085 | }
|
---|
1086 |
|
---|
1087 | int
|
---|
1088 | big_evenp(a)
|
---|
1089 | bignum *a;
|
---|
1090 | {
|
---|
1091 | return ((*a->dp & 0x01) == 0);
|
---|
1092 | }
|
---|
1093 |
|
---|
1094 | int
|
---|
1095 | big_oddp(a)
|
---|
1096 | bignum *a;
|
---|
1097 | {
|
---|
1098 | return ((*a->dp & 0x01) == 1);
|
---|
1099 | }
|
---|
1100 |
|
---|
1101 | bigerr_t
|
---|
1102 | big_add(a, b, c)
|
---|
1103 | bignum *a;
|
---|
1104 | bignum *b;
|
---|
1105 | bignum *c;
|
---|
1106 | {
|
---|
1107 | int cmp;
|
---|
1108 |
|
---|
1109 | if (big_errno != BIG_OK)
|
---|
1110 | {
|
---|
1111 | return big_errno;
|
---|
1112 | }
|
---|
1113 | print_digits("add:\ta = ", a);
|
---|
1114 | print_digits("\tb = ", b);
|
---|
1115 | if (a->sign == b->sign)
|
---|
1116 | {
|
---|
1117 | uadd_digits(a, b, c);
|
---|
1118 | c->sign = a->sign;
|
---|
1119 | }
|
---|
1120 | else
|
---|
1121 | {
|
---|
1122 | cmp = ucompare_digits(a, b);
|
---|
1123 | if (cmp < 0)
|
---|
1124 | {
|
---|
1125 | usub_digits(b, a, c);
|
---|
1126 | if (zerop(c))
|
---|
1127 | {
|
---|
1128 | c->sign = BIG_SIGN_0;
|
---|
1129 | }
|
---|
1130 | else
|
---|
1131 | {
|
---|
1132 | c->sign = b->sign;
|
---|
1133 | }
|
---|
1134 | }
|
---|
1135 | else if (cmp > 0)
|
---|
1136 | {
|
---|
1137 | usub_digits(a, b, c);
|
---|
1138 | if (zerop(c))
|
---|
1139 | {
|
---|
1140 | c->sign = BIG_SIGN_0;
|
---|
1141 | }
|
---|
1142 | else
|
---|
1143 | {
|
---|
1144 | c->sign = a->sign;
|
---|
1145 | }
|
---|
1146 | }
|
---|
1147 | else
|
---|
1148 | {
|
---|
1149 | c->dgs_used = 1;
|
---|
1150 | *c->dp = 0;
|
---|
1151 | c->sign = BIG_SIGN_0;
|
---|
1152 | }
|
---|
1153 | }
|
---|
1154 | print_digits("\tc = ", c);
|
---|
1155 | return big_errno;
|
---|
1156 | }
|
---|
1157 |
|
---|
1158 | bigerr_t
|
---|
1159 | big_sub(a, b, c)
|
---|
1160 | bignum *a;
|
---|
1161 | bignum *b;
|
---|
1162 | bignum *c;
|
---|
1163 | {
|
---|
1164 | int cmp;
|
---|
1165 |
|
---|
1166 | if (big_errno != BIG_OK)
|
---|
1167 | {
|
---|
1168 | return big_errno;
|
---|
1169 | }
|
---|
1170 | print_digits("sub:\ta = ", a);
|
---|
1171 | print_digits("\tb = ", b);
|
---|
1172 | if (a->sign == BIG_SIGN_0)
|
---|
1173 | {
|
---|
1174 | big_set_big(b, c);
|
---|
1175 | big_negate(c, c);
|
---|
1176 | print_digits("\tc = ", c);
|
---|
1177 | return big_errno;
|
---|
1178 | }
|
---|
1179 | if (b->sign == BIG_SIGN_0)
|
---|
1180 | {
|
---|
1181 | big_set_big(a, c);
|
---|
1182 | print_digits("\tc = ", c);
|
---|
1183 | return big_errno;
|
---|
1184 | }
|
---|
1185 |
|
---|
1186 | cmp = ucompare_digits(a, b);
|
---|
1187 | if (cmp <= 0)
|
---|
1188 | {
|
---|
1189 | if (a->sign != b->sign)
|
---|
1190 | {
|
---|
1191 | uadd_digits(a, b, c);
|
---|
1192 | c->sign = a->sign;
|
---|
1193 | }
|
---|
1194 | else
|
---|
1195 | {
|
---|
1196 | usub_digits(b, a, c);
|
---|
1197 | c->sign = (zerop(c) ? BIG_SIGN_0 : NEGATE_SIGN(a->sign));
|
---|
1198 | }
|
---|
1199 | }
|
---|
1200 | else if (cmp > 0)
|
---|
1201 | {
|
---|
1202 | if (a->sign != b->sign)
|
---|
1203 | {
|
---|
1204 | uadd_digits(a, b, c);
|
---|
1205 | c->sign = a->sign;
|
---|
1206 | }
|
---|
1207 | else
|
---|
1208 | {
|
---|
1209 | usub_digits(a, b, c);
|
---|
1210 | c->sign = (zerop(c) ? BIG_SIGN_0 : b->sign);
|
---|
1211 | }
|
---|
1212 | }
|
---|
1213 | else
|
---|
1214 | {
|
---|
1215 | c->dgs_used = 1;
|
---|
1216 | *c->dp = 0;
|
---|
1217 | c->sign = BIG_SIGN_0;
|
---|
1218 | }
|
---|
1219 | print_digits("\tc = ", c);
|
---|
1220 | return big_errno;
|
---|
1221 | }
|
---|
1222 |
|
---|
1223 | bigerr_t
|
---|
1224 | big_mul(a, b, c)
|
---|
1225 | bignum *a;
|
---|
1226 | bignum *b;
|
---|
1227 | bignum *c;
|
---|
1228 | {
|
---|
1229 | DIGIT *dp_x, *dp_xstart, *dp_xend;
|
---|
1230 | DIGIT *dp_y, *dp_ystart, *dp_yend;
|
---|
1231 | DIGIT *dp_z, *dp_zstart, *dp_zend, *dp_zsumstart;
|
---|
1232 | ulong len_x, len_y /* , len_z */;
|
---|
1233 | DIGIT2 res;
|
---|
1234 | DIGIT tmp_res; /* Without use of this, gcc (v 1.39) generates */
|
---|
1235 | /* erroneous code on a sun386 machine */
|
---|
1236 | /* Should be removed with #ifdef's, when */
|
---|
1237 | /* not on a sun386, but... */
|
---|
1238 |
|
---|
1239 | if (big_errno != BIG_OK)
|
---|
1240 | {
|
---|
1241 | return big_errno;
|
---|
1242 | }
|
---|
1243 | print_digits("mul:\ta = ", a);
|
---|
1244 | print_digits("\tb = ", b);
|
---|
1245 |
|
---|
1246 | if (zerop(a) || zerop(b))
|
---|
1247 | {
|
---|
1248 | c->sign = BIG_SIGN_0;
|
---|
1249 | c->dgs_used = 1;
|
---|
1250 | *c->dp = 0;
|
---|
1251 | print_digits("(a=0 || b=0)c = ", c);
|
---|
1252 | return big_errno;
|
---|
1253 | }
|
---|
1254 | if (uonep(a))
|
---|
1255 | {
|
---|
1256 | big_set_big(b, c);
|
---|
1257 | c->sign = (a->sign == b->sign) ? BIG_SIGN_PLUS : BIG_SIGN_MINUS;
|
---|
1258 | print_digits("(abs(a)=1)c = ", c);
|
---|
1259 | return big_errno;
|
---|
1260 | }
|
---|
1261 | if (uonep(b))
|
---|
1262 | {
|
---|
1263 | big_set_big(a, c);
|
---|
1264 | c->sign = (a->sign == b->sign) ? BIG_SIGN_PLUS : BIG_SIGN_MINUS;
|
---|
1265 | print_digits("(abs(b)=1)c = ", c);
|
---|
1266 | return big_errno;
|
---|
1267 | }
|
---|
1268 |
|
---|
1269 | if (a->dgs_used < b->dgs_used)
|
---|
1270 | {
|
---|
1271 | dp_xstart = a->dp;
|
---|
1272 | len_x = a->dgs_used;
|
---|
1273 | dp_ystart = b->dp;
|
---|
1274 | len_y = b->dgs_used;
|
---|
1275 | }
|
---|
1276 | else
|
---|
1277 | {
|
---|
1278 | dp_xstart = b->dp;
|
---|
1279 | len_x = b->dgs_used;
|
---|
1280 | dp_ystart = a->dp;
|
---|
1281 | len_y = a->dgs_used;
|
---|
1282 | }
|
---|
1283 | if ((c == a) || (c == b))
|
---|
1284 | {
|
---|
1285 | if (newsize(&tmp_mul.dp, &tmp_mul.dgs_alloc,
|
---|
1286 | len_x + len_y, len_x + len_y + 2) != BIG_OK)
|
---|
1287 | {
|
---|
1288 | return big_errno;
|
---|
1289 | }
|
---|
1290 | dp_zsumstart = tmp_mul.dp;
|
---|
1291 | /* len_z = tmp_mul.dgs_alloc; */
|
---|
1292 | }
|
---|
1293 | else
|
---|
1294 | {
|
---|
1295 | if (newsize(&c->dp, &c->dgs_alloc,
|
---|
1296 | len_x + len_y, len_x + len_y + 2) != BIG_OK)
|
---|
1297 | {
|
---|
1298 | return big_errno;
|
---|
1299 | }
|
---|
1300 | dp_zsumstart = c->dp;
|
---|
1301 | /* len_z = c->dgs_alloc; */
|
---|
1302 | }
|
---|
1303 |
|
---|
1304 | dp_xend = dp_xstart + len_x;
|
---|
1305 | dp_yend = dp_ystart + len_y;
|
---|
1306 | dp_zend = dp_zsumstart + len_y;
|
---|
1307 |
|
---|
1308 | for (dp_z = dp_zsumstart; dp_z < dp_zend; dp_z++)
|
---|
1309 | {
|
---|
1310 | *dp_z = 0; /* Zero out rightmost digits */
|
---|
1311 | }
|
---|
1312 |
|
---|
1313 | dp_zstart = dp_zsumstart;
|
---|
1314 |
|
---|
1315 | for (dp_x = dp_xstart; dp_x < dp_xend; dp_x++)
|
---|
1316 | {
|
---|
1317 | dp_z = dp_zstart;
|
---|
1318 | tmp_res = 0;
|
---|
1319 | for (dp_y = dp_ystart; dp_y < dp_yend; dp_y++)
|
---|
1320 | {
|
---|
1321 | res = (DIGIT2)(*dp_x) * (*dp_y) + (*dp_z) + tmp_res;
|
---|
1322 | *dp_z++ = DIGIT_PART(res);
|
---|
1323 | tmp_res = SHIFT_DIGIT_DOWN(res);
|
---|
1324 | }
|
---|
1325 | *dp_z = tmp_res;
|
---|
1326 | dp_zstart++;
|
---|
1327 | }
|
---|
1328 | if (dp_zsumstart != c->dp)
|
---|
1329 | {
|
---|
1330 | tmp_digits = c->dp;
|
---|
1331 | c->dp = tmp_mul.dp;
|
---|
1332 | tmp_mul.dp = tmp_digits;
|
---|
1333 |
|
---|
1334 | tmp_ulong = c->dgs_alloc;
|
---|
1335 | c->dgs_alloc = tmp_mul.dgs_alloc;
|
---|
1336 | tmp_mul.dgs_alloc = tmp_ulong;
|
---|
1337 | }
|
---|
1338 | if (*dp_z == 0)
|
---|
1339 | {
|
---|
1340 | dp_z--;
|
---|
1341 | }
|
---|
1342 | c->dgs_used = dp_z - dp_zsumstart + 1;
|
---|
1343 | c->sign = a->sign * b->sign;
|
---|
1344 | print_digits("\tc = ", c);
|
---|
1345 | return big_errno;
|
---|
1346 | }
|
---|
1347 |
|
---|
1348 | bigerr_t
|
---|
1349 | big_trunc(a, b, q, r)
|
---|
1350 | bignum *a;
|
---|
1351 | bignum *b;
|
---|
1352 | bignum *q;
|
---|
1353 | bignum *r;
|
---|
1354 | {
|
---|
1355 | DIGIT *v_end, *q_end, *r_end, *src, *dst;
|
---|
1356 | DIGIT norm, qhat, t1, t2, t3, v1, v2, u1, u2, u3;
|
---|
1357 | DIGIT2 temp, res, carry;
|
---|
1358 | long a_l, b_l, q_l, r_l;
|
---|
1359 | #if 0
|
---|
1360 | ulong i;
|
---|
1361 | #endif
|
---|
1362 | ulong j, m, n;
|
---|
1363 | int cmp, q_eq_a, q_eq_b, r_eq_a, r_eq_b;
|
---|
1364 |
|
---|
1365 | if (big_errno != BIG_OK)
|
---|
1366 | {
|
---|
1367 | return big_errno;
|
---|
1368 | }
|
---|
1369 | print_digits("div:\ta = ", a);
|
---|
1370 | print_digits("\tb = ", b);
|
---|
1371 | if (zerop(b))
|
---|
1372 | {
|
---|
1373 | big_errno = BIG_DIV_ZERO;
|
---|
1374 | return big_errno;
|
---|
1375 | }
|
---|
1376 |
|
---|
1377 | if (q == r)
|
---|
1378 | {
|
---|
1379 | big_errno = BIG_ARGERR;
|
---|
1380 | return big_errno;
|
---|
1381 | }
|
---|
1382 |
|
---|
1383 | if (b->dgs_used == 1)
|
---|
1384 | {
|
---|
1385 | big_set_big(a, q);
|
---|
1386 | q->sign = ((a->sign == b->sign) ? BIG_SIGN_PLUS : BIG_SIGN_MINUS);
|
---|
1387 | *r->dp = udiv_digit(q, *b->dp);
|
---|
1388 | r->dgs_used = 1;
|
---|
1389 | r->sign = (zerop(r) ? BIG_SIGN_0 : a->sign);
|
---|
1390 | print_digits("\t3:q = ", q);
|
---|
1391 | print_digits("\t r = ", r);
|
---|
1392 | return big_errno;
|
---|
1393 | }
|
---|
1394 |
|
---|
1395 | if (big_long(a, &a_l)) /* Pretend it is a signed value */
|
---|
1396 | {
|
---|
1397 | big_long(b, &b_l); /* |a| < |b| so this will succeed */
|
---|
1398 | q_l = a_l / b_l; /* Compute with unsigned operators */
|
---|
1399 | r_l = a_l % b_l;
|
---|
1400 | big_set_long((long)q_l, q);
|
---|
1401 | big_set_long((long)r_l, r);
|
---|
1402 | print_digits("\t4:q = ", q);
|
---|
1403 | print_digits("\t r = ", r);
|
---|
1404 | return big_errno;
|
---|
1405 | }
|
---|
1406 |
|
---|
1407 | cmp = ucompare_digits(a, b); /* Unsigned compare, that is... */
|
---|
1408 | if (cmp < 0)
|
---|
1409 | {
|
---|
1410 | big_set_big(a, r); /* r = a (don't care about big_errno here) */
|
---|
1411 | q->sign = BIG_SIGN_0; /* q = 0 */
|
---|
1412 | *q->dp = 0;
|
---|
1413 | q->dgs_used = 1;
|
---|
1414 | print_digits("\t1:q = ", q);
|
---|
1415 | print_digits("\t r = ", r);
|
---|
1416 | return big_errno;
|
---|
1417 | }
|
---|
1418 | else
|
---|
1419 | if (cmp == 0)
|
---|
1420 | {
|
---|
1421 | q->sign = ((a->sign == b->sign) ? BIG_SIGN_PLUS : BIG_SIGN_MINUS);
|
---|
1422 | *q->dp = 1; /* q = 1 */
|
---|
1423 | q->dgs_used = 1;
|
---|
1424 | r->sign = BIG_SIGN_0; /* r = 0 */
|
---|
1425 | *r->dp = 0;
|
---|
1426 | r->dgs_used = 1;
|
---|
1427 | print_digits("\t2:q = ", q);
|
---|
1428 | print_digits("\t r = ", r);
|
---|
1429 | return big_errno;
|
---|
1430 | }
|
---|
1431 |
|
---|
1432 | q_eq_a = (q == a);
|
---|
1433 | q_eq_b = (q == b);
|
---|
1434 | if (q_eq_a || q_eq_b)
|
---|
1435 | {
|
---|
1436 | q = &tmp_q;
|
---|
1437 | }
|
---|
1438 |
|
---|
1439 | r_eq_a = (r == a);
|
---|
1440 | r_eq_b = (r == b);
|
---|
1441 | if (r_eq_a || r_eq_b)
|
---|
1442 | {
|
---|
1443 | r = &tmp_r;
|
---|
1444 | }
|
---|
1445 |
|
---|
1446 | if (newsize(&r->dp, &r->dgs_alloc, /* At least one more dig in r */
|
---|
1447 | a->dgs_used + 1, a->dgs_used + 2) != BIG_OK)
|
---|
1448 | {
|
---|
1449 | return big_errno;
|
---|
1450 | }
|
---|
1451 | big_set_big(a, r);
|
---|
1452 | r->dp[a->dgs_used] = 0; /* In case no overflow in mult. */
|
---|
1453 |
|
---|
1454 | n = b->dgs_used;
|
---|
1455 | v_end = b->dp + n - 1;
|
---|
1456 | norm = DIGIT_PART((DIGIT_BASE / ((DIGIT2)*v_end + 1)));
|
---|
1457 | if (norm != 1)
|
---|
1458 | {
|
---|
1459 | umul_digit(r, norm);
|
---|
1460 | umul_digit(b, norm);
|
---|
1461 | print_digits("r = ", r);
|
---|
1462 | print_digits("b = ", b);
|
---|
1463 | }
|
---|
1464 | m = a->dgs_used + 1 - b->dgs_used;
|
---|
1465 | r_end = r->dp + a->dgs_used;
|
---|
1466 |
|
---|
1467 | if (newsize(&q->dp, &q->dgs_alloc, m, m + 2) != BIG_OK)
|
---|
1468 | {
|
---|
1469 | return big_errno;
|
---|
1470 | }
|
---|
1471 | q_end = q->dp + m - 1;
|
---|
1472 |
|
---|
1473 | v1 = *v_end;
|
---|
1474 | v2 = *(v_end - 1);
|
---|
1475 |
|
---|
1476 | for (j = 0; j < m; j++) /* m steps through division */
|
---|
1477 | {
|
---|
1478 | u1 = *r_end; /* routine */
|
---|
1479 | u2 = *(r_end - 1);
|
---|
1480 | u3 = *(r_end - 2);
|
---|
1481 | qhat = ((u1 == v1) ?
|
---|
1482 | MAX_DIGIT :
|
---|
1483 | DIGIT_PART(((DIGIT2)u1 * DIGIT_BASE + u2) / v1));
|
---|
1484 | while (1)
|
---|
1485 | {
|
---|
1486 | t3 = DIGIT_PART(temp = (DIGIT2)qhat * v2);
|
---|
1487 | t2 = DIGIT_PART(temp = SHIFT_DIGIT_DOWN(temp) + v1 * (DIGIT2)qhat);
|
---|
1488 | t1 = DIGIT_PART(SHIFT_DIGIT_DOWN(temp));
|
---|
1489 | #if 0
|
---|
1490 | printf("t1 = %lu, ", (ulong)t1);
|
---|
1491 | printf("t2 = %lu, ", (ulong)t2);
|
---|
1492 | printf("t3 = %lu\n", (ulong)t3);
|
---|
1493 | #endif
|
---|
1494 | if (t1 < u1) break;
|
---|
1495 | if (t1 > u1) {--qhat; continue; }
|
---|
1496 | if (t2 < u2) break;
|
---|
1497 | if (t2 > u2) { --qhat; continue; }
|
---|
1498 | if (t3 <= u3) break;
|
---|
1499 | qhat--;
|
---|
1500 | }
|
---|
1501 |
|
---|
1502 | /* This is a tricky one - multiply and subtract simultaneously */
|
---|
1503 | carry = 1;
|
---|
1504 | res = 0;
|
---|
1505 | src = b->dp;
|
---|
1506 | dst = r->dp + m - j - 1;
|
---|
1507 | while (src <= v_end)
|
---|
1508 | {
|
---|
1509 | res = (DIGIT2)qhat * *(src++) + SHIFT_DIGIT_DOWN(res);
|
---|
1510 | carry += (DIGIT2)(*dst) + MAX_DIGIT - DIGIT_PART(res);
|
---|
1511 | *(dst++) = DIGIT_PART(carry);
|
---|
1512 | carry = DIGIT_PART(SHIFT_DIGIT_DOWN(carry));
|
---|
1513 | }
|
---|
1514 | carry += (DIGIT2)(*dst) + MAX_DIGIT - SHIFT_DIGIT_DOWN(res);
|
---|
1515 | *dst = DIGIT_PART(carry);
|
---|
1516 | carry = DIGIT_PART(SHIFT_DIGIT_DOWN(carry));
|
---|
1517 |
|
---|
1518 | if (carry == 0)
|
---|
1519 | {
|
---|
1520 | qhat--;
|
---|
1521 | src = b->dp;
|
---|
1522 | dst = r->dp + m - j - 1;
|
---|
1523 | while (dst <= r_end)
|
---|
1524 | {
|
---|
1525 | carry = (DIGIT2)(*dst) + *src++ + SHIFT_DIGIT_DOWN(carry);
|
---|
1526 | *dst++ = DIGIT_PART(carry);
|
---|
1527 | }
|
---|
1528 | *dst = 0;
|
---|
1529 | }
|
---|
1530 | *(q_end - j) = DIGIT_PART(qhat);
|
---|
1531 | r_end--;
|
---|
1532 | }
|
---|
1533 | r->sign = a->sign;
|
---|
1534 | #if 0
|
---|
1535 | i = r->dgs_used;
|
---|
1536 | #endif
|
---|
1537 | while ((*r_end == 0) && (r_end > r->dp))
|
---|
1538 | {
|
---|
1539 | r_end--;
|
---|
1540 | }
|
---|
1541 | if (r_end == r->dp)
|
---|
1542 | {
|
---|
1543 | r->dgs_used = 1;
|
---|
1544 | r->sign = BIG_SIGN_0;
|
---|
1545 | }
|
---|
1546 | else
|
---|
1547 | {
|
---|
1548 | r->dgs_used = r_end - r->dp + 1;
|
---|
1549 | r->sign = a->sign;
|
---|
1550 | }
|
---|
1551 | if (norm != 1)
|
---|
1552 | {
|
---|
1553 | udiv_digit(b, norm);
|
---|
1554 | udiv_digit(r, norm);
|
---|
1555 | }
|
---|
1556 | while ((*q_end == 0) && (q_end > q->dp)) /* This is not needed!(?) */
|
---|
1557 | {
|
---|
1558 | q_end--;
|
---|
1559 | }
|
---|
1560 | /* was ifdef'd out already in original */
|
---|
1561 | #if 0
|
---|
1562 | i = m - 1;
|
---|
1563 | while ((i > 0) && (q->dp[i--] == 0))
|
---|
1564 | {
|
---|
1565 | /* Loop through all zeroes */
|
---|
1566 | }
|
---|
1567 | #endif
|
---|
1568 | q->dgs_used = q_end - q->dp + 1;
|
---|
1569 | q->sign = ((a->sign == b->sign) ? BIG_SIGN_PLUS : BIG_SIGN_MINUS);
|
---|
1570 |
|
---|
1571 | if (q_eq_a)
|
---|
1572 | {
|
---|
1573 | big_set_big(q, a);
|
---|
1574 | }
|
---|
1575 | else
|
---|
1576 | if (q_eq_b)
|
---|
1577 | {
|
---|
1578 | big_set_big(q, b);
|
---|
1579 | }
|
---|
1580 |
|
---|
1581 | if (r_eq_b)
|
---|
1582 | {
|
---|
1583 | big_set_big(r, b);
|
---|
1584 | }
|
---|
1585 | else
|
---|
1586 | if (r_eq_a)
|
---|
1587 | {
|
---|
1588 | big_set_big(r, a);
|
---|
1589 | }
|
---|
1590 |
|
---|
1591 | print_digits("\t5:q = ", q);
|
---|
1592 | print_digits("\t r = ", r);
|
---|
1593 | return big_errno;
|
---|
1594 | }
|
---|
1595 |
|
---|
1596 | bigerr_t
|
---|
1597 | big_floor(a, b, q, r)
|
---|
1598 | bignum *a;
|
---|
1599 | bignum *b;
|
---|
1600 | bignum *q;
|
---|
1601 | bignum *r;
|
---|
1602 | {
|
---|
1603 | int b_eq_qr, sign_eq;
|
---|
1604 |
|
---|
1605 | if ( ( b_eq_qr = ((b == q) || (b == r)) ) )
|
---|
1606 | {
|
---|
1607 | big_set_big(b, &tmp_mul);
|
---|
1608 | }
|
---|
1609 | sign_eq = a->sign == b->sign;
|
---|
1610 | big_trunc(a, b, q, r);
|
---|
1611 | if (sign_eq)
|
---|
1612 | {
|
---|
1613 | return big_errno;
|
---|
1614 | }
|
---|
1615 | if (!zerop(r))
|
---|
1616 | {
|
---|
1617 | if (b_eq_qr)
|
---|
1618 | {
|
---|
1619 | big_add(r, &tmp_mul, r);
|
---|
1620 | }
|
---|
1621 | else
|
---|
1622 | {
|
---|
1623 | big_add(r, b, r);
|
---|
1624 | }
|
---|
1625 | print_digits("big_one = ", &big_one);
|
---|
1626 | big_sub(q, &big_one, q);
|
---|
1627 | }
|
---|
1628 | return big_errno;
|
---|
1629 | }
|
---|
1630 |
|
---|
1631 | bigerr_t
|
---|
1632 | big_ceil(a, b, q, r)
|
---|
1633 | bignum *a;
|
---|
1634 | bignum *b;
|
---|
1635 | bignum *q;
|
---|
1636 | bignum *r;
|
---|
1637 | {
|
---|
1638 | int b_eq_qr, sign_diff;
|
---|
1639 |
|
---|
1640 | if ( ( b_eq_qr = ((b == q) || (b == r)) ) )
|
---|
1641 | {
|
---|
1642 | big_set_big(b, &tmp_mul);
|
---|
1643 | }
|
---|
1644 | sign_diff = a->sign != b->sign;
|
---|
1645 | big_trunc(a, b, q, r);
|
---|
1646 | if (sign_diff)
|
---|
1647 | {
|
---|
1648 | return big_errno;
|
---|
1649 | }
|
---|
1650 | if (!zerop(r))
|
---|
1651 | {
|
---|
1652 | if (b_eq_qr)
|
---|
1653 | {
|
---|
1654 | big_sub(r, &tmp_mul, r);
|
---|
1655 | }
|
---|
1656 | else
|
---|
1657 | {
|
---|
1658 | big_sub(r, b, r);
|
---|
1659 | }
|
---|
1660 | big_add(q, &big_one, q);
|
---|
1661 | }
|
---|
1662 | return big_errno;
|
---|
1663 | }
|
---|
1664 |
|
---|
1665 | #ifdef UNUSED_CODE
|
---|
1666 | /* This one doesn't work to 100%. I was a little braindamaged when I wrote
|
---|
1667 | * this, but I'll eventually fix it. Zzzzzzz.
|
---|
1668 | */
|
---|
1669 | bigerr_t
|
---|
1670 | big_round(a, b, q, r)
|
---|
1671 | bignum *a;
|
---|
1672 | bignum *b;
|
---|
1673 | bignum *q;
|
---|
1674 | bignum *r;
|
---|
1675 | {
|
---|
1676 | int b_eq_qr, b_neg_p, a_sgn_neq_b_sgn;
|
---|
1677 |
|
---|
1678 | if ( ( b_eq_qr = ((b == q) || (b == r)) ) )
|
---|
1679 | {
|
---|
1680 | big_set_big(b, &tmp_round);
|
---|
1681 | }
|
---|
1682 | b_neg_p = b->sign == BIG_SIGN_MINUS;
|
---|
1683 | a_sgn_neq_b_sgn = a->sign != b->sign;
|
---|
1684 | big_trunc(a, b, q, r);
|
---|
1685 |
|
---|
1686 | big_set_big(r, &tmp_add);
|
---|
1687 | umul_digit(&tmp_add, 2);
|
---|
1688 | if (ucompare_digits(&tmp_add, b) > 0) /* |2 * r| > |b| */
|
---|
1689 | {
|
---|
1690 | if (q->sign == BIG_SIGN_0)
|
---|
1691 | {
|
---|
1692 | if (a_sgn_neq_b_sgn)
|
---|
1693 | {
|
---|
1694 | big_sub(q, &big_one, q);
|
---|
1695 | }
|
---|
1696 | else
|
---|
1697 | {
|
---|
1698 | big_add(q, &big_one, q);
|
---|
1699 | }
|
---|
1700 | }
|
---|
1701 | else
|
---|
1702 | {
|
---|
1703 | if (q->sign == BIG_SIGN_MINUS)
|
---|
1704 | {
|
---|
1705 | big_sub(q, &big_one, q);
|
---|
1706 | }
|
---|
1707 | else
|
---|
1708 | {
|
---|
1709 | big_add(q, &big_one, q);
|
---|
1710 | }
|
---|
1711 | }
|
---|
1712 | if (b_eq_qr)
|
---|
1713 | {
|
---|
1714 | if (q->sign == BIG_SIGN_PLUS)
|
---|
1715 | {
|
---|
1716 | big_sub(r, &tmp_round, r);
|
---|
1717 | }
|
---|
1718 | else
|
---|
1719 | {
|
---|
1720 | big_add(r, &tmp_round, r);
|
---|
1721 | }
|
---|
1722 | }
|
---|
1723 | else
|
---|
1724 | {
|
---|
1725 | if (q->sign == BIG_SIGN_PLUS)
|
---|
1726 | {
|
---|
1727 | big_sub(r, b, r);
|
---|
1728 | }
|
---|
1729 | else
|
---|
1730 | {
|
---|
1731 | big_add(r, b, r);
|
---|
1732 | }
|
---|
1733 | }
|
---|
1734 | }
|
---|
1735 | return big_errno;
|
---|
1736 | }
|
---|
1737 |
|
---|
1738 | bigerr_t
|
---|
1739 | big_random(a, b)
|
---|
1740 | bignum *a;
|
---|
1741 | bignum *b;
|
---|
1742 | {
|
---|
1743 | unsigned long i;
|
---|
1744 | int a_sgn = a->sign;
|
---|
1745 |
|
---|
1746 | if (big_errno != BIG_OK)
|
---|
1747 | {
|
---|
1748 | return big_errno;
|
---|
1749 | }
|
---|
1750 | if (zerop(a)) /* a = 0 -> big_random => 0 (special case) */
|
---|
1751 | {
|
---|
1752 | *b->dp = 0;
|
---|
1753 | b->dgs_used = 1;
|
---|
1754 | b->sign = a_sgn;
|
---|
1755 | return big_errno;
|
---|
1756 | }
|
---|
1757 | if (newsize(&tmp_rand.dp, &tmp_rand.dgs_alloc,
|
---|
1758 | a->dgs_used + 1, a->dgs_used + 1) != BIG_OK)
|
---|
1759 | {
|
---|
1760 | return big_errno;
|
---|
1761 | }
|
---|
1762 | for (i = 0; i <= a->dgs_used; i++)
|
---|
1763 | {
|
---|
1764 | tmp_rand.dp[i] = rand();
|
---|
1765 | }
|
---|
1766 | while (tmp_rand.dp[a->dgs_used] == 0) /* Make sure high digit is non-0 */
|
---|
1767 | {
|
---|
1768 | tmp_rand.dp[a->dgs_used] = rand();
|
---|
1769 | }
|
---|
1770 | tmp_rand.dgs_used = a->dgs_used + 1;
|
---|
1771 | tmp_rand.sign = BIG_SIGN_PLUS;
|
---|
1772 | a->sign = BIG_SIGN_PLUS;
|
---|
1773 | big_trunc(&tmp_rand, a, &tmp_q, b); /* Dangerous to use tmp_q here... */
|
---|
1774 | a->sign = a_sgn;
|
---|
1775 | b->sign = zerop(&tmp_rand) ? BIG_SIGN_0 : a_sgn;
|
---|
1776 | return big_errno;
|
---|
1777 | }
|
---|
1778 |
|
---|
1779 | /* UNUSED_CODE */
|
---|
1780 | #endif
|
---|
1781 |
|
---|
1782 | /* ----------------------------------------------------------------------
|
---|
1783 | * External functions that do not need to know anything about the internal
|
---|
1784 | * representation of a bignum.
|
---|
1785 | */
|
---|
1786 |
|
---|
1787 | #ifdef UNUSED_CODE
|
---|
1788 |
|
---|
1789 | int
|
---|
1790 | big_expt(a, z, x)
|
---|
1791 | bignum *a;
|
---|
1792 | unsigned long z;
|
---|
1793 | bignum *x;
|
---|
1794 | {
|
---|
1795 | bignum b;
|
---|
1796 |
|
---|
1797 | big_create(&b);
|
---|
1798 | big_set_big(a, &b);
|
---|
1799 | big_set_long((long)1, x);
|
---|
1800 |
|
---|
1801 | while ((z != 0) && (big_errno == BIG_OK))
|
---|
1802 | {
|
---|
1803 | while ((z & 0x01) == 0)
|
---|
1804 | {
|
---|
1805 | z >>= 1;
|
---|
1806 | big_mul(&b, &b, &b);
|
---|
1807 | }
|
---|
1808 | z -= 1;
|
---|
1809 | big_mul(x, &b, x);
|
---|
1810 | }
|
---|
1811 |
|
---|
1812 | big_destroy(&b);
|
---|
1813 | return big_errno;
|
---|
1814 | }
|
---|
1815 |
|
---|
1816 | /* UNUSED_CODE */
|
---|
1817 | #endif
|
---|
1818 |
|
---|
1819 | int
|
---|
1820 | big_exptmod(a_in, z_in, n, x)
|
---|
1821 | bignum *a_in;
|
---|
1822 | bignum *z_in;
|
---|
1823 | bignum *n;
|
---|
1824 | bignum *x;
|
---|
1825 | {
|
---|
1826 | bignum a, z, b0, b1, b2, dummy;
|
---|
1827 |
|
---|
1828 | big_create(&a);
|
---|
1829 | big_create(&z);
|
---|
1830 | big_create(&b0);
|
---|
1831 | big_create(&b1);
|
---|
1832 | big_create(&b2);
|
---|
1833 | big_create(&dummy);
|
---|
1834 |
|
---|
1835 | big_set_big(a_in, &a);
|
---|
1836 | big_set_big(z_in, &z);
|
---|
1837 | big_set_long((long)1, x);
|
---|
1838 | big_set_long((long)0, &b0);
|
---|
1839 | big_set_long((long)1, &b1);
|
---|
1840 | big_set_long((long)2, &b2);
|
---|
1841 |
|
---|
1842 | /* No foolproof testing on big_errno - it really ought to be done */
|
---|
1843 | while ((big_compare(&z, &b0) != 0) && (big_errno == BIG_OK))
|
---|
1844 | {
|
---|
1845 | while (big_evenp(&z) && (big_errno == BIG_OK))
|
---|
1846 | {
|
---|
1847 | big_trunc(&z, &b2, &z, &dummy);
|
---|
1848 | big_mul(&a, &a, &a);
|
---|
1849 | big_trunc(&a, n, &dummy, &a);
|
---|
1850 | }
|
---|
1851 | big_sub(&z, &b1, &z);
|
---|
1852 | big_mul(x, &a, x);
|
---|
1853 | big_trunc(x, n, &dummy, x);
|
---|
1854 | }
|
---|
1855 |
|
---|
1856 | big_destroy(&dummy);
|
---|
1857 | big_destroy(&b2);
|
---|
1858 | big_destroy(&b1);
|
---|
1859 | big_destroy(&b0);
|
---|
1860 | big_destroy(&z);
|
---|
1861 | big_destroy(&a);
|
---|
1862 |
|
---|
1863 | return big_errno;
|
---|
1864 | }
|
---|
1865 |
|
---|
1866 | #ifdef UNUSED_CODE
|
---|
1867 |
|
---|
1868 | int
|
---|
1869 | big_gcd(a, b, g)
|
---|
1870 | bignum *a;
|
---|
1871 | bignum *b;
|
---|
1872 | bignum *g;
|
---|
1873 | {
|
---|
1874 | bignum a1, b1, tmp;
|
---|
1875 |
|
---|
1876 | if (big_zerop(b))
|
---|
1877 | {
|
---|
1878 | big_abs(a, g);
|
---|
1879 | return big_errno;
|
---|
1880 | }
|
---|
1881 |
|
---|
1882 | big_create(&a1);
|
---|
1883 | big_create(&b1);
|
---|
1884 | big_create(&tmp);
|
---|
1885 |
|
---|
1886 | big_abs(a, &a1);
|
---|
1887 | big_abs(b, &b1);
|
---|
1888 |
|
---|
1889 | while (!big_zerop(&b1) && (big_errno == BIG_OK))
|
---|
1890 | {
|
---|
1891 | big_floor(&a1, &b1, &tmp, &a1);
|
---|
1892 | if (big_zerop(&a1))
|
---|
1893 | {
|
---|
1894 | break;
|
---|
1895 | }
|
---|
1896 | big_floor(&b1, &a1, &tmp, &b1);
|
---|
1897 | }
|
---|
1898 |
|
---|
1899 | if (big_zerop(&a1))
|
---|
1900 | {
|
---|
1901 | big_set_big(&b1, g);
|
---|
1902 | }
|
---|
1903 | else
|
---|
1904 | {
|
---|
1905 | big_set_big(&a1, g);
|
---|
1906 | }
|
---|
1907 |
|
---|
1908 | big_destroy(&tmp);
|
---|
1909 | big_destroy(&b1);
|
---|
1910 | big_destroy(&a1);
|
---|
1911 |
|
---|
1912 | return big_errno;
|
---|
1913 | }
|
---|
1914 | /* UNUSED_CODE */
|
---|
1915 | #endif
|
---|
1916 |
|
---|
1917 | /* #if (defined (SH_WITH_CLIENT) || defined (SH_WITH_SERVER)) */
|
---|
1918 | #endif
|
---|
1919 |
|
---|