[1] | 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 | /*
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| 67 | extern void *malloc(size_t size);
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| 68 | extern void free();
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| 69 | */
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| 70 |
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| 71 | char *last_string = NULL;
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| 72 | char *big_end_string = NULL;
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| 73 |
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| 74 | ulong length_last_string;
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| 75 | static char big_base_digits1[] =
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| 76 | N_("00112233445566778899AaBbCcDdEeFfGgHhIiJjKkLlMmNnOoPpQqRrSsTtUuVvWwXxYyZz");
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| 77 | static char error_string[] = N_("(big_errno != 0, something has gone wrong)");
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| 78 | static char big_base_digits[73] = "\0";
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| 79 |
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| 80 | bignum big_one;
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| 81 | bignum tmp_string, tmp_add, tmp_mul, tmp_q, tmp_r, tmp_rand, tmp_round;
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| 82 | DIGIT *tmp_digits;
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| 83 | ulong tmp_ulong;
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| 84 |
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| 85 | /* #define COUNT_ALLOC */
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| 86 | #ifdef COUNT_ALLOC
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| 87 | ulong dgs_alloc = 0, digits_freed = 0;
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| 88 | #endif
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| 89 |
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| 90 | int big_errno = BIG_OK;
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| 91 |
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| 92 | double log2tbl[] =
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| 93 | {
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| 94 | -1.0, -1.0,
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| 95 | 1.000000000000000, 1.584961891174317, 2.000000000000002, 2.321928024291994,
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| 96 | 2.584960937500003, 2.807353973388675, 3.000000000000004, 3.169923782348637,
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| 97 | 3.321928024291997, 3.459430694580083, 3.584960937500005, 3.700439453125006,
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| 98 | 3.807353973388678, 3.906888961791999, 4.000000000000014, 4.087459564208999,
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| 99 | 4.169921875000016, 4.247924804687517, 4.321926116943377, 4.392314910888691,
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| 100 | 4.459430694580098, 4.523559570312520, 4.584960937500021, 4.643856048584007,
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| 101 | 4.700439453125023, 4.754886627197290, 4.807353973388697, 4.857978820800807,
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| 102 | 4.906887054443386, 4.954193115234403, 5.000000000000028, 5.044391632080107,
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| 103 | 5.087459564209015, 5.129280090332062, 5.169921875000032
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| 104 | };
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| 105 |
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| 106 | struct digit_blocks
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| 107 | {
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| 108 | int digCnt;
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| 109 | DIGIT dig_base;
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| 110 | } big_block[37]; /* The code uses index 2 to 36 */
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| 111 |
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| 112 |
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| 113 | /* ----------------------------------------------------------------------
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| 114 | * All static utility functions are placed first in this file.
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| 115 | */
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| 116 |
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| 117 | #ifndef HAVE_STRCHR
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| 118 | static char * strchr (char * str_ptr, char ch)
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| 119 | {
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| 120 | do
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| 121 | {
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| 122 | if (*str_ptr == ch)
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| 123 | {
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| 124 | return str_ptr;
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| 125 | }
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| 126 | } while (*str_ptr++ != '\0');
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| 127 | return NULL;
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| 128 | }
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| 129 | #endif
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| 130 |
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| 131 | #if 0
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| 132 |
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| 133 | extern int printf();
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| 134 |
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| 135 | static void
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| 136 | print_digits(prefix, a)
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| 137 | char *prefix;
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| 138 | bignum *a;
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| 139 | {
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| 140 | unsigned long i;
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| 141 | ulong tmp;
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| 142 |
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| 143 | printf("%s", prefix);
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| 144 | if (a->sign == BIG_SIGN_MINUS)
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| 145 | {
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| 146 | printf("- ");
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| 147 | }
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| 148 | else
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| 149 | {
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| 150 | if (a->sign == BIG_SIGN_PLUS)
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| 151 | {
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| 152 | printf("+ ");
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| 153 | }
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| 154 | else
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| 155 | {
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| 156 | printf("+/- ");
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| 157 | }
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| 158 | }
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| 159 | for (i = a->dgs_used - 1; i > 0; i--)
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| 160 | {
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| 161 | tmp = a->dp[i];
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| 162 | printf("%lu, ", tmp);
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| 163 | }
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| 164 | tmp = *a->dp;
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| 165 | printf("%lu\n", tmp);
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| 166 | }
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| 167 |
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| 168 | #else
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| 169 |
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| 170 | #define print_digits(prefix, big) /* */
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| 171 |
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| 172 | #endif
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| 173 |
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| 174 | static void
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| 175 | init_digit_blocks(void)
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| 176 | {
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| 177 | uint digcnt, base;
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| 178 | DIGIT maxdigit, curdigit, tmp;
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| 179 |
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| 180 | for (base = 2; base <= 36; base++)
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| 181 | {
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| 182 | tmp = ((1 << (DIGIT_BITS - 1)) / base);
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| 183 | maxdigit = tmp * 2;
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| 184 | curdigit = 1;
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| 185 | digcnt = 0;
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| 186 | while (curdigit < maxdigit)
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| 187 | {
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| 188 | digcnt++;
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| 189 | curdigit *= base;
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| 190 | }
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| 191 | big_block[base].digCnt = digcnt;
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| 192 | big_block[base].dig_base = curdigit;
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| 193 | }
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| 194 | }
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| 195 |
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| 196 | #ifdef COUNT_ALLOC
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| 197 | static void
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| 198 | free_digits(DIGIT * dp, ulong count)
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| 199 | {
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| 200 | /* Mar 4 2000 R. Wichmann: check for dp == NULL */
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| 201 | if (!dp)
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| 202 | return;
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| 203 | digits_freed += count;
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| 204 | free((char *)dp);
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| 205 | dp = NULL;
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| 206 | }
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| 207 | #else
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| 208 | /* June 5 2000 R. Wichmann: check for dp == NULL */
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| 209 | /* #define free_digits(DP,CNT) free((char *)DP) */
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| 210 | static void
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| 211 | free_digits(DIGIT * dp, ulong count)
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| 212 | {
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| 213 | /* Mar 4 2000 R. Wichmann: check for dp == NULL */
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| 214 | if (!dp)
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| 215 | return;
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| 216 | free((char *)dp);
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| 217 | dp = NULL;
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| 218 | count = 0;
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| 219 | }
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| 220 | #endif
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| 221 |
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| 222 | static DIGIT *
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| 223 | allocate_digits(ulong alloclen)
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| 224 | {
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| 225 | DIGIT *digit_ptr;
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| 226 |
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| 227 | if (big_errno != BIG_OK)
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| 228 | {
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| 229 | return NULL;
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| 230 | }
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| 231 | #ifdef COUNT_ALLOC
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| 232 | dgs_alloc += alloclen;
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| 233 | #endif
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| 234 | digit_ptr = (DIGIT *) malloc(alloclen * sizeof(DIGIT));
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| 235 | if (digit_ptr == NULL)
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| 236 | {
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| 237 | big_errno = BIG_MEMERR;
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| 238 | return NULL;
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| 239 | }
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| 240 | return digit_ptr;
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| 241 | }
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| 242 |
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| 243 | static bigerr_t
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| 244 | newsize(DIGIT **dp_p, ulong *cursize_p, ulong minsz, ulong newsz)
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| 245 | {
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| 246 | if (*cursize_p >= minsz)
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| 247 | {
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| 248 | return big_errno;
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| 249 | }
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| 250 | free_digits(*dp_p, *cursize_p);
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| 251 | if (newsz < MIN_ALLOC)
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| 252 | {
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| 253 | newsz = MIN_ALLOC;
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| 254 | }
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| 255 | if ((*dp_p = allocate_digits(newsz)) == NULL)
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| 256 | {
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| 257 | return big_errno;
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| 258 | }
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| 259 | *cursize_p = newsz;
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| 260 | return big_errno;
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| 261 | }
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| 262 |
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| 263 | /* `memcpy' uses an `int' as counter. If an int can't hold a big enough
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| 264 | * counter, then `digits_cpy' becomes a function (and a little slower,
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| 265 | * probably. Unfortunately `memcpy' takes a signed counter, but _that_
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| 266 | * size of numbers are almost too big! Or isn't it?
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| 267 | */
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| 268 | #ifdef MEMCPY_LONG_COUNTER
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| 269 | /* extern char *memcpy(); */
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| 270 | #define digits_cpy(dst, src, count) memcpy((char *)(dst), (char *)(src), \
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| 271 | (count) * sizeof(DIGIT))
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| 272 | #else
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| 273 | static void
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| 274 | digits_cpy(DIGIT *dst, DIGIT *src, ulong count)
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| 275 | {
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| 276 | while (count-- > 0)
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| 277 | {
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| 278 | *dst++ = *src++;
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| 279 | }
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| 280 | }
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| 281 | #endif
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| 282 |
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| 283 | static DIGIT *
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| 284 | copy_digits(DIGIT *src, ulong cp_count, ulong alloclen)
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| 285 | {
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| 286 | DIGIT *dst;
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| 287 |
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| 288 | if (big_errno != BIG_OK)
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| 289 | {
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| 290 | return NULL;
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| 291 | }
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| 292 | if ((dst = allocate_digits(alloclen)) == NULL)
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| 293 | {
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| 294 | return NULL;
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| 295 | }
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| 296 | digits_cpy(dst, src, cp_count);
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| 297 | return dst;
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| 298 | }
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| 299 |
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| 300 | static void
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| 301 | add_digit(bignum * a, DIGIT d)
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| 302 | {
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| 303 | DIGIT2 res = d;
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| 304 | DIGIT *last_digit, *digit_ptr = a->dp, *digvect;
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| 305 |
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| 306 | last_digit = digit_ptr + a->dgs_used;
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| 307 | while (digit_ptr < last_digit)
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| 308 | {
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| 309 | res = *digit_ptr + res;
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| 310 | *digit_ptr = DIGIT_PART(res);
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| 311 | res = SHIFT_DIGIT_DOWN(res);
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| 312 | digit_ptr++;
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| 313 | if (res == 0)
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| 314 | {
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| 315 | break;
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| 316 | }
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| 317 | }
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| 318 | if (res != 0)
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| 319 | {
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| 320 | if (a->dgs_used < a->dgs_alloc)
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| 321 | {
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| 322 | *digit_ptr = DIGIT_PART(res);
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| 323 | }
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| 324 | else
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| 325 | {
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| 326 | if ((digvect = copy_digits(a->dp, a->dgs_used,
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| 327 | a->dgs_used + 4)) == NULL)
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| 328 | {
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| 329 | return; /* big_errno will be set to last error */
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| 330 | }
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| 331 | digvect[a->dgs_used] = DIGIT_PART(res);
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| 332 | free_digits(a->dp, a->dgs_alloc);
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| 333 | a->dgs_alloc = a->dgs_used + 4;
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| 334 | a->dp = digvect;
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| 335 | }
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| 336 | a->dgs_used++;
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| 337 | }
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| 338 | }
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| 339 |
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| 340 | static DIGIT
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| 341 | vect_div_digit(DIGIT *digvect, ulong *len, DIGIT d)
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| 342 | {
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| 343 | DIGIT *digit_ptr = digvect + *len - 1, newval;
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| 344 | DIGIT2 rest = 0;
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| 345 |
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| 346 | if (d == 0)
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| 347 | {
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| 348 | big_errno = BIG_DIV_ZERO;
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| 349 | return -1;
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| 350 | }
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| 351 | if (d == 1)
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| 352 | {
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| 353 | return 0;
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| 354 | }
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| 355 | while (digit_ptr >= digvect)
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| 356 | {
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| 357 | rest = (DIGIT2)SHIFT_DIGIT_UP(rest);
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| 358 | newval = DIGIT_PART((*digit_ptr + rest) / d);
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| 359 | rest = (*digit_ptr + rest) % d;
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| 360 | *digit_ptr = newval;
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| 361 | digit_ptr--;
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| 362 | }
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| 363 | if (*len > 1)
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| 364 | {
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| 365 | if (digvect[*len - 1] == 0)
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| 366 | {
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| 367 | *len -= 1;
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| 368 | }
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| 369 | }
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| 370 | return DIGIT_PART(rest);
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| 371 | }
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| 372 |
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| 373 | static DIGIT
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| 374 | udiv_digit(bignum *a, DIGIT d)
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| 375 | {
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| 376 | DIGIT res;
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| 377 |
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| 378 | res = vect_div_digit(a->dp, &a->dgs_used, d);
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| 379 | if (zerop(a))
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| 380 | {
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| 381 | a->sign = BIG_SIGN_0;
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| 382 | }
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| 383 | return res;
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| 384 | }
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| 385 |
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| 386 | static DIGIT
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| 387 | vect_mul_digit(DIGIT *digvect, ulong len, DIGIT x)
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| 388 | {
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| 389 | DIGIT *digit_ptr = digvect + len;
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| 390 | DIGIT2 res = 0;
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| 391 |
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| 392 | while (digvect < digit_ptr)
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| 393 | {
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| 394 | res += *digvect * (DIGIT2)x;
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| 395 | *digvect = DIGIT_PART(res);
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| 396 | res = SHIFT_DIGIT_DOWN(res);
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| 397 | digvect++;
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| 398 | }
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| 399 | return DIGIT_PART(res);
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| 400 | }
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| 401 |
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| 402 | static void
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| 403 | umul_digit(bignum *a, DIGIT x)
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| 404 | {
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| 405 | DIGIT ovfl, *digvect;
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| 406 |
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| 407 | ovfl = vect_mul_digit(a->dp, a->dgs_used, x);
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| 408 | if (ovfl != 0)
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| 409 | {
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| 410 | if (a->dgs_used < a->dgs_alloc)
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| 411 | {
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| 412 | a->dp[a->dgs_used] = ovfl;
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| 413 | }
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| 414 | else
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| 415 | {
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| 416 | digvect = copy_digits(a->dp,
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| 417 | a->dgs_used,
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| 418 | a->dgs_used + 4);
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| 419 | digvect[a->dgs_used] = ovfl;
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| 420 | free_digits(a->dp, a->dgs_alloc);
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| 421 | a->dgs_alloc = a->dgs_used + 4;
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| 422 | a->dp = digvect;
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| 423 | }
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| 424 | a->dgs_used++;
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| 425 | }
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| 426 | }
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| 427 |
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| 428 | static int
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| 429 | ucompare_digits(bignum *a, bignum *b)
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| 430 | {
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| 431 | DIGIT *a_ptr, *b_ptr;
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| 432 |
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| 433 | if (a->dgs_used == b->dgs_used)
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| 434 | {
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| 435 | a_ptr = a->dp + a->dgs_used - 1;
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| 436 | b_ptr = b->dp + b->dgs_used - 1;
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| 437 | while ((*a_ptr == *b_ptr) && (a_ptr >= a->dp))
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| 438 | {
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| 439 | a_ptr--;
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| 440 | b_ptr--;
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| 441 | }
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| 442 | if (a_ptr < a->dp)
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| 443 | {
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| 444 | return 0;
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| 445 | }
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| 446 | else
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| 447 | {
|
---|
| 448 | return (*a_ptr > *b_ptr) ? 1 : -1;
|
---|
| 449 | }
|
---|
| 450 | }
|
---|
| 451 | return (a->dgs_used > b->dgs_used) ? 1 : -1;
|
---|
| 452 | }
|
---|
| 453 |
|
---|
| 454 | static void
|
---|
| 455 | uadd_digits(bignum *a, bignum *b, bignum *c)
|
---|
| 456 | {
|
---|
| 457 | DIGIT *dp_x, *dp_y, *dp_z, *res_dp, *end_x, *end_y;
|
---|
| 458 | ulong len_x, len_y;
|
---|
| 459 | DIGIT2 res = 0;
|
---|
| 460 |
|
---|
| 461 | if (a->dgs_used > b->dgs_used)
|
---|
| 462 | {
|
---|
| 463 | dp_x = a->dp;
|
---|
| 464 | len_x = a->dgs_used;
|
---|
| 465 | dp_y = b->dp;
|
---|
| 466 | len_y = b->dgs_used;
|
---|
| 467 | }
|
---|
| 468 | else
|
---|
| 469 | {
|
---|
| 470 | dp_x = b->dp;
|
---|
| 471 | len_x = b->dgs_used;
|
---|
| 472 | dp_y = a->dp;
|
---|
| 473 | len_y = a->dgs_used;
|
---|
| 474 | }
|
---|
| 475 | end_x = dp_x + len_x;
|
---|
| 476 | end_y = dp_y + len_y;
|
---|
| 477 | if (c->dgs_alloc >= len_x)
|
---|
| 478 | {
|
---|
| 479 | dp_z = c->dp;
|
---|
| 480 | }
|
---|
| 481 | else
|
---|
| 482 | {
|
---|
| 483 | if (newsize(&tmp_add.dp, &tmp_add.dgs_alloc,
|
---|
| 484 | len_x, len_x + 4) != BIG_OK)
|
---|
| 485 | {
|
---|
| 486 | return;
|
---|
| 487 | }
|
---|
| 488 | dp_z = tmp_add.dp;
|
---|
| 489 | }
|
---|
| 490 | res_dp = dp_z;
|
---|
| 491 | while (dp_y < end_y)
|
---|
| 492 | {
|
---|
| 493 | res += ((DIGIT2)*dp_x++) + *dp_y++;
|
---|
| 494 | *res_dp++ = DIGIT_PART(res);
|
---|
| 495 | res = SHIFT_DIGIT_DOWN(res);
|
---|
| 496 | }
|
---|
| 497 | while (dp_x < end_x)
|
---|
| 498 | {
|
---|
| 499 | res += *dp_x++;
|
---|
| 500 | *res_dp++ = DIGIT_PART(res);
|
---|
| 501 | res = SHIFT_DIGIT_DOWN(res);
|
---|
| 502 | }
|
---|
| 503 | if (res != 0)
|
---|
| 504 | {
|
---|
| 505 | *res_dp++ = DIGIT_PART(res);
|
---|
| 506 | }
|
---|
| 507 |
|
---|
| 508 | if (dp_z != c->dp)
|
---|
| 509 | {
|
---|
| 510 | tmp_digits = c->dp;
|
---|
| 511 | c->dp = tmp_add.dp;
|
---|
| 512 | tmp_add.dp = tmp_digits;
|
---|
| 513 |
|
---|
| 514 | tmp_ulong = c->dgs_alloc;
|
---|
| 515 | c->dgs_alloc = tmp_add.dgs_alloc;
|
---|
| 516 | tmp_add.dgs_alloc = tmp_ulong;
|
---|
| 517 | }
|
---|
| 518 | c->dgs_used = res_dp - c->dp;
|
---|
| 519 | }
|
---|
| 520 |
|
---|
| 521 | static void
|
---|
| 522 | usub_digits(bignum *a, bignum *b, bignum *c)
|
---|
| 523 | {
|
---|
| 524 | DIGIT *dp_x, *dp_y, *dp_z, *res_dp, *end_x, *end_y;
|
---|
| 525 | ulong len_x, len_y;
|
---|
| 526 | DIGIT2 res = 0;
|
---|
| 527 |
|
---|
| 528 | dp_x = a->dp;
|
---|
| 529 | len_x = a->dgs_used;
|
---|
| 530 | dp_y = b->dp;
|
---|
| 531 | len_y = b->dgs_used;
|
---|
| 532 |
|
---|
| 533 | end_x = dp_x + len_x;
|
---|
| 534 | end_y = dp_y + len_y;
|
---|
| 535 | if (c->dgs_alloc >= len_x)
|
---|
| 536 | {
|
---|
| 537 | dp_z = c->dp;
|
---|
| 538 | }
|
---|
| 539 | else
|
---|
| 540 | {
|
---|
| 541 | if (newsize(&tmp_add.dp, &tmp_add.dgs_alloc,
|
---|
| 542 | len_x, len_x + 2) != BIG_OK)
|
---|
| 543 | {
|
---|
| 544 | return;
|
---|
| 545 | }
|
---|
| 546 | dp_z = tmp_add.dp;
|
---|
| 547 | }
|
---|
| 548 | res_dp = dp_z;
|
---|
| 549 | while (dp_y < end_y)
|
---|
| 550 | {
|
---|
| 551 | res = ((DIGIT2)*dp_x++) - *dp_y++ - RESULT_MINUSP(res);
|
---|
| 552 | *res_dp++ = DIGIT_PART(res);
|
---|
| 553 | }
|
---|
| 554 | while (dp_x < end_x)
|
---|
| 555 | {
|
---|
| 556 | res = *dp_x++ - RESULT_MINUSP(res);
|
---|
| 557 | *res_dp++ = DIGIT_PART(res);
|
---|
| 558 | }
|
---|
| 559 | #ifdef BIG_CHECK_LIMITS
|
---|
| 560 | if (RESULT_MINUSP(res) != 0)
|
---|
| 561 | {
|
---|
| 562 | big_errno = BIG_ALGERR;
|
---|
| 563 | return;
|
---|
| 564 | }
|
---|
| 565 | #endif
|
---|
| 566 | while ((*--res_dp == 0) && (res_dp > dp_z))
|
---|
| 567 | {
|
---|
| 568 | /* Move pointer down until we reach a non-zero */
|
---|
| 569 | }
|
---|
| 570 | if (dp_z != c->dp)
|
---|
| 571 | {
|
---|
| 572 | tmp_digits = c->dp;
|
---|
| 573 | c->dp = tmp_add.dp;
|
---|
| 574 | tmp_add.dp = tmp_digits;
|
---|
| 575 |
|
---|
| 576 | tmp_ulong = tmp_add.dgs_alloc;
|
---|
| 577 | tmp_add.dgs_alloc = c->dgs_alloc;
|
---|
| 578 | c->dgs_alloc = tmp_ulong;
|
---|
| 579 | }
|
---|
| 580 | c->dgs_used = res_dp - dp_z + 1;
|
---|
| 581 | }
|
---|
| 582 |
|
---|
| 583 | /*
|
---|
| 584 | * This (pseudo) random number generator is not very good. It has a long
|
---|
| 585 | * period [ 2 ^ (DIGIT_BITS * 2) (?)] before it starts with the same sequence
|
---|
| 586 | * again, but the lower bits are "less random" than they should be. I've
|
---|
| 587 | * solved it by using word of double length, and returning the upper bits.
|
---|
| 588 | * Please mail me if you know how to make it into a "more random" generator.
|
---|
| 589 | * One important thing though: it will have to reasonably fast.
|
---|
| 590 | * The good thing with this one is that it is very portable, but that doesn't
|
---|
| 591 | * help much when you want _good_ random numbers.
|
---|
| 592 | * Henrik.Johansson@Nexus.Comm.SE
|
---|
| 593 | */
|
---|
| 594 | #ifdef UNUSED_CODE
|
---|
| 595 | static DIGIT
|
---|
| 596 | rand(void)
|
---|
| 597 | {
|
---|
| 598 | static DIGIT2 x1 = 33, x2 = 45; /* Just give them two starting values */
|
---|
| 599 |
|
---|
| 600 | if (x2 = BIG_RAND_A2 * x2 + BIG_RAND_C2, x2 == 45)
|
---|
| 601 | {
|
---|
| 602 | x1 = BIG_RAND_A1 * x1 + BIG_RAND_C1;
|
---|
| 603 | }
|
---|
| 604 | return SHIFT_DIGIT_DOWN(x1 + x2); /* Skip least significant bits */
|
---|
| 605 | }
|
---|
| 606 | /* UNUSED_CODE */
|
---|
| 607 | #endif
|
---|
| 608 |
|
---|
| 609 | /* ----------------------------------------------------------------------
|
---|
| 610 | * All external functions comes here.
|
---|
| 611 | */
|
---|
| 612 |
|
---|
| 613 | bigerr_t
|
---|
| 614 | big_init_pkg()
|
---|
| 615 | {
|
---|
| 616 | strcpy (big_base_digits, _(big_base_digits1)); /* known to fit */
|
---|
| 617 | init_digit_blocks();
|
---|
| 618 | big_create(&tmp_string);
|
---|
| 619 | big_create(&tmp_add);
|
---|
| 620 | big_create(&tmp_mul);
|
---|
| 621 | big_create(&tmp_q);
|
---|
| 622 | big_create(&tmp_r);
|
---|
| 623 | big_create(&tmp_rand);
|
---|
| 624 | big_create(&big_one);
|
---|
| 625 | big_set_long((long)1, &big_one);
|
---|
| 626 | length_last_string = 10;
|
---|
| 627 | if ((last_string = malloc(length_last_string)) == NULL)
|
---|
| 628 | {
|
---|
| 629 | big_errno = BIG_MEMERR;
|
---|
| 630 | }
|
---|
| 631 | return big_errno;
|
---|
| 632 | }
|
---|
| 633 |
|
---|
| 634 | void
|
---|
| 635 | big_release_pkg()
|
---|
| 636 | {
|
---|
| 637 | big_destroy(&tmp_string);
|
---|
| 638 | big_destroy(&tmp_add);
|
---|
| 639 | big_destroy(&tmp_mul);
|
---|
| 640 | big_destroy(&tmp_q);
|
---|
| 641 | big_destroy(&tmp_r);
|
---|
| 642 | big_destroy(&tmp_round);
|
---|
| 643 | big_destroy(&big_one);
|
---|
| 644 | if (last_string != NULL)
|
---|
| 645 | free(last_string);
|
---|
| 646 | #ifdef COUNT_ALLOC
|
---|
| 647 | printf("Allocated digits: %lu\n", dgs_alloc);
|
---|
| 648 | printf("Freed digits: %lu\n", digits_freed);
|
---|
| 649 | #endif
|
---|
| 650 | }
|
---|
| 651 |
|
---|
| 652 | bigerr_t
|
---|
| 653 | big_create(a)
|
---|
| 654 | bignum *a;
|
---|
| 655 | {
|
---|
| 656 | /* Make sure that big_create alway returns a NULL bignum
|
---|
| 657 | * that can safely be destroyed.
|
---|
| 658 | */
|
---|
| 659 | if (a != NULL)
|
---|
| 660 | {
|
---|
| 661 | a->dp = NULL;
|
---|
| 662 | }
|
---|
| 663 | if (big_errno != BIG_OK)
|
---|
| 664 | {
|
---|
| 665 | return big_errno;
|
---|
| 666 | }
|
---|
| 667 | if (a == NULL)
|
---|
| 668 | {
|
---|
| 669 | big_errno = BIG_ARGERR;
|
---|
| 670 | return big_errno;
|
---|
| 671 | }
|
---|
| 672 |
|
---|
| 673 | a->sign = BIG_SIGN_0;
|
---|
| 674 | a->dgs_used = 1;
|
---|
| 675 | if ((a->dp = allocate_digits((long)sizeof(long))) == NULL)
|
---|
| 676 | {
|
---|
| 677 | return big_errno;
|
---|
| 678 | }
|
---|
| 679 | a->dgs_alloc = sizeof(long);
|
---|
| 680 | *a->dp = 0;
|
---|
| 681 | return big_errno;
|
---|
| 682 | }
|
---|
| 683 |
|
---|
| 684 | void
|
---|
| 685 | big_destroy(a)
|
---|
| 686 | bignum *a;
|
---|
| 687 | {
|
---|
| 688 | /* Mar 4, 2000 R. Wichmann: check for a == NULL */
|
---|
| 689 | /* free_digits() checks for a->dp == NULL */
|
---|
| 690 | if (a != NULL)
|
---|
| 691 | free_digits(a->dp, a->dgs_alloc);
|
---|
| 692 | }
|
---|
| 693 |
|
---|
| 694 | ulong
|
---|
| 695 | big_bitcount(a)
|
---|
| 696 | bignum *a;
|
---|
| 697 | {
|
---|
| 698 | int bits = 0;
|
---|
| 699 | DIGIT high_digit;
|
---|
| 700 |
|
---|
| 701 | if (big_errno != BIG_OK)
|
---|
| 702 | {
|
---|
| 703 | return 0;
|
---|
| 704 | }
|
---|
| 705 | high_digit = a->dp[a->dgs_used - 1];
|
---|
| 706 | while (high_digit != 0)
|
---|
| 707 | {
|
---|
| 708 | bits++;
|
---|
| 709 | high_digit >>= 1;
|
---|
| 710 | }
|
---|
| 711 | return DIGIT_BITS * (a->dgs_used - 1) + bits;
|
---|
| 712 | }
|
---|
| 713 |
|
---|
| 714 | bigerr_t
|
---|
| 715 | big_set_big(a, b)
|
---|
| 716 | bignum *a;
|
---|
| 717 | bignum *b;
|
---|
| 718 | {
|
---|
| 719 | if ((big_errno != BIG_OK) || (a == b))
|
---|
| 720 | {
|
---|
| 721 | return big_errno;
|
---|
| 722 | }
|
---|
| 723 | if (newsize(&b->dp, &b->dgs_alloc, a->dgs_used, a->dgs_used) != BIG_OK)
|
---|
| 724 | {
|
---|
| 725 | return big_errno;
|
---|
| 726 | }
|
---|
| 727 | b->dgs_used = a->dgs_used;
|
---|
| 728 | b->sign = a->sign;
|
---|
| 729 | digits_cpy(b->dp, a->dp, a->dgs_used);
|
---|
| 730 | return big_errno;
|
---|
| 731 | }
|
---|
| 732 |
|
---|
| 733 |
|
---|
| 734 | void
|
---|
| 735 | big_set_ulong(n, a)
|
---|
| 736 | ulong n;
|
---|
| 737 | bignum *a;
|
---|
| 738 | {
|
---|
| 739 | unsigned int i;
|
---|
| 740 |
|
---|
| 741 | if (big_errno != BIG_OK)
|
---|
| 742 | {
|
---|
| 743 | return;
|
---|
| 744 | }
|
---|
| 745 | if (n == 0)
|
---|
| 746 | {
|
---|
| 747 | *a->dp = 0;
|
---|
| 748 | a->dgs_used = 1;
|
---|
| 749 | a->sign = BIG_SIGN_0;
|
---|
| 750 | }
|
---|
| 751 | else
|
---|
| 752 | {
|
---|
| 753 | a->dgs_used = 0;
|
---|
| 754 | for (i = 0; i < sizeof(long) / sizeof(DIGIT); i++)
|
---|
| 755 | {
|
---|
| 756 | if (n == 0)
|
---|
| 757 | {
|
---|
| 758 | break;
|
---|
| 759 | }
|
---|
| 760 | a->dgs_used++;
|
---|
| 761 | a->dp[i] = DIGIT_PART(n);
|
---|
| 762 | n = SHIFT_DIGIT_DOWN(n);
|
---|
| 763 | }
|
---|
| 764 | a->sign = BIG_SIGN_PLUS;
|
---|
| 765 | }
|
---|
| 766 | print_digits("set_(u)long: a = ", a);
|
---|
| 767 | }
|
---|
| 768 |
|
---|
| 769 | void
|
---|
| 770 | big_set_long(n, a)
|
---|
| 771 | long n;
|
---|
| 772 | bignum *a;
|
---|
| 773 | {
|
---|
| 774 | ulong m;
|
---|
| 775 |
|
---|
| 776 | m = (n < 0) ? - n : n;
|
---|
| 777 | big_set_ulong(m, a);
|
---|
| 778 | if (!(n >= 0))
|
---|
| 779 | {
|
---|
| 780 | a->sign = BIG_SIGN_MINUS;
|
---|
| 781 | }
|
---|
| 782 | }
|
---|
| 783 |
|
---|
| 784 |
|
---|
| 785 | bigerr_t
|
---|
| 786 | big_set_string(numstr, base, a)
|
---|
| 787 | char *numstr;
|
---|
| 788 | int base;
|
---|
| 789 | bignum *a;
|
---|
| 790 | {
|
---|
| 791 | char *src, *maxdigit, *chrptr;
|
---|
| 792 | DIGIT dig_base, dig_sum, last_base;
|
---|
| 793 | int cnt, maxcnt;
|
---|
| 794 |
|
---|
| 795 | if (big_errno != BIG_OK)
|
---|
| 796 | {
|
---|
| 797 | return big_errno;
|
---|
| 798 | }
|
---|
| 799 |
|
---|
| 800 | big_end_string = numstr;
|
---|
| 801 | if ((base < 2) || (base > 36) || (numstr == NULL) || (a == NULL))
|
---|
| 802 | {
|
---|
| 803 | big_errno = BIG_ARGERR;
|
---|
| 804 | return big_errno;
|
---|
| 805 | }
|
---|
| 806 |
|
---|
| 807 | src = numstr;
|
---|
| 808 |
|
---|
| 809 | maxdigit = big_base_digits + (base << 1);
|
---|
| 810 |
|
---|
| 811 | maxcnt = big_block[base].digCnt;
|
---|
| 812 | dig_base = big_block[base].dig_base;
|
---|
| 813 | a->dgs_used = 1;
|
---|
| 814 | *a->dp = 0;
|
---|
| 815 | a->sign = BIG_SIGN_PLUS; /* Assume it will be positive */
|
---|
| 816 | while (strchr(" \t\n\r", *src) != NULL) /* Skip whitespaces */
|
---|
| 817 | {
|
---|
| 818 | src++;
|
---|
| 819 | }
|
---|
| 820 | if ((*src == '-') || (*src == '+')) /* First non-white is a sign? */
|
---|
| 821 | {
|
---|
| 822 | a->sign = (*src == '-') ? BIG_SIGN_MINUS : BIG_SIGN_PLUS;
|
---|
| 823 | src++;
|
---|
| 824 | }
|
---|
| 825 | chrptr = strchr(big_base_digits, *src);
|
---|
| 826 | if ((chrptr == NULL) || (chrptr >= maxdigit)) /* Next chr not a digit? */
|
---|
| 827 | {
|
---|
| 828 | big_end_string = src;
|
---|
| 829 | big_errno = BIG_ARGERR;
|
---|
| 830 | return big_errno;
|
---|
| 831 | }
|
---|
| 832 | while (*src == '0') /* Next chr a '0'? */
|
---|
| 833 | {
|
---|
| 834 | src++; /* Read past all '0'es */
|
---|
| 835 | }
|
---|
| 836 | chrptr = strchr(big_base_digits, *src);
|
---|
| 837 | if ((chrptr == NULL) || (chrptr >= maxdigit)) /* Next char not a digit */
|
---|
| 838 | {
|
---|
| 839 | big_end_string = src;
|
---|
| 840 | a->sign = BIG_SIGN_0; /* It was just a plain 0 */
|
---|
| 841 | return big_errno;
|
---|
| 842 | }
|
---|
| 843 | dig_sum = 0;
|
---|
| 844 | cnt = 0;
|
---|
| 845 | while ((chrptr = strchr(big_base_digits, *src)),
|
---|
| 846 | (chrptr != NULL) && (chrptr < maxdigit))
|
---|
| 847 | {
|
---|
| 848 | dig_sum = dig_sum * base + ((chrptr - big_base_digits) >> 1);
|
---|
| 849 | if (++cnt >= maxcnt)
|
---|
| 850 | {
|
---|
| 851 | umul_digit(a, dig_base);
|
---|
| 852 | add_digit(a, dig_sum);
|
---|
| 853 | dig_sum = 0;
|
---|
| 854 | cnt = 0;
|
---|
| 855 | }
|
---|
| 856 | src++;
|
---|
| 857 | }
|
---|
| 858 | if (cnt > 0)
|
---|
| 859 | {
|
---|
| 860 | last_base = base;
|
---|
| 861 | while (--cnt > 0)
|
---|
| 862 | {
|
---|
| 863 | last_base *= base;
|
---|
| 864 | }
|
---|
| 865 | umul_digit(a, last_base);
|
---|
| 866 | add_digit(a, dig_sum);
|
---|
| 867 | }
|
---|
| 868 | big_end_string = src;
|
---|
| 869 | return big_errno;
|
---|
| 870 | }
|
---|
| 871 |
|
---|
| 872 |
|
---|
| 873 | int
|
---|
| 874 | big_ulong(a, n)
|
---|
| 875 | bignum *a;
|
---|
| 876 | ulong *n;
|
---|
| 877 | {
|
---|
| 878 | ulong old_n;
|
---|
| 879 | DIGIT *dp;
|
---|
| 880 |
|
---|
| 881 | if (big_errno != BIG_OK)
|
---|
| 882 | {
|
---|
| 883 | return FALSE;
|
---|
| 884 | }
|
---|
| 885 | if (a->dgs_used > sizeof(ulong) / sizeof(DIGIT))
|
---|
| 886 | {
|
---|
| 887 | return FALSE;
|
---|
| 888 | }
|
---|
| 889 | dp = a->dp + a->dgs_used - 1;
|
---|
| 890 | old_n = *n = *dp--;
|
---|
| 891 | while ((dp >= a->dp) && (old_n < *n))
|
---|
| 892 | {
|
---|
| 893 | old_n = *n;
|
---|
| 894 | *n = SHIFT_DIGIT_UP(*n) + *dp--;
|
---|
| 895 | }
|
---|
| 896 | if (old_n >= *n)
|
---|
| 897 | {
|
---|
| 898 | return FALSE;
|
---|
| 899 | }
|
---|
| 900 | return FALSE;
|
---|
| 901 | }
|
---|
| 902 |
|
---|
| 903 | int
|
---|
| 904 | big_long(a, n)
|
---|
| 905 | bignum *a;
|
---|
| 906 | long *n;
|
---|
| 907 | {
|
---|
| 908 | long old_n;
|
---|
| 909 | DIGIT *dp;
|
---|
| 910 |
|
---|
| 911 | if (a->dgs_used > sizeof(ulong) / sizeof(DIGIT))
|
---|
| 912 | {
|
---|
| 913 | return FALSE;
|
---|
| 914 | }
|
---|
| 915 | dp = a->dp + a->dgs_used - 1;
|
---|
| 916 | old_n = *n = *dp--;
|
---|
| 917 | while ((dp >= a->dp) && (old_n <= *n))
|
---|
| 918 | {
|
---|
| 919 | old_n = *n;
|
---|
| 920 | *n = SHIFT_DIGIT_UP(*n) + *dp--;
|
---|
| 921 | }
|
---|
| 922 | if (old_n >= *n)
|
---|
| 923 | {
|
---|
| 924 | return FALSE;
|
---|
| 925 | }
|
---|
| 926 | if (a->sign == BIG_SIGN_MINUS)
|
---|
| 927 | {
|
---|
[249] | 928 | *n = -*n;
|
---|
[1] | 929 | }
|
---|
| 930 | return FALSE;
|
---|
| 931 | }
|
---|
| 932 |
|
---|
| 933 |
|
---|
| 934 | char *
|
---|
| 935 | big_string(a, base)
|
---|
| 936 | bignum *a;
|
---|
| 937 | int base;
|
---|
| 938 | {
|
---|
| 939 | ulong bit_length, str_length;
|
---|
| 940 | char *dst;
|
---|
| 941 | DIGIT dig_base, rem;
|
---|
| 942 | int cnt, maxcnt;
|
---|
| 943 |
|
---|
| 944 | if (big_errno != BIG_OK)
|
---|
| 945 | {
|
---|
| 946 | return _(error_string);
|
---|
| 947 | }
|
---|
| 948 | big_set_big(a, &tmp_string);
|
---|
| 949 | /* Need more room than minimum here... */
|
---|
| 950 | bit_length = tmp_string.dgs_used * DIGIT_BITS;
|
---|
| 951 | /* bit_length = big_bitcount(&tmp_string); */
|
---|
| 952 | str_length = (ulong)(bit_length / log2tbl[base] + 4);
|
---|
| 953 | if (str_length > length_last_string)
|
---|
| 954 | {
|
---|
| 955 | if (last_string != NULL)
|
---|
| 956 | free(last_string);
|
---|
| 957 | if ((last_string = malloc(str_length)) == NULL)
|
---|
| 958 | {
|
---|
| 959 | big_errno = BIG_MEMERR;
|
---|
| 960 | return NULL;
|
---|
| 961 | }
|
---|
| 962 | length_last_string = str_length;
|
---|
| 963 | }
|
---|
| 964 |
|
---|
| 965 | dst = last_string + length_last_string - 1;
|
---|
| 966 | *dst-- = '\0';
|
---|
| 967 | maxcnt = big_block[base].digCnt;
|
---|
| 968 | dig_base = big_block[base].dig_base;
|
---|
| 969 | while (tmp_string.dgs_used > 1)
|
---|
| 970 | {
|
---|
| 971 | rem = udiv_digit(&tmp_string, dig_base);
|
---|
| 972 | for (cnt = 0; cnt < maxcnt; cnt++)
|
---|
| 973 | {
|
---|
| 974 | *dst-- = big_base_digits[(rem % base) << 1];
|
---|
| 975 | rem /= base;
|
---|
| 976 | }
|
---|
| 977 | }
|
---|
| 978 | rem = *tmp_string.dp;
|
---|
| 979 | do
|
---|
| 980 | {
|
---|
| 981 | *dst-- = big_base_digits[(rem % base) << 1];
|
---|
| 982 | rem /= base;
|
---|
| 983 | } while (rem != 0);
|
---|
| 984 |
|
---|
| 985 | if (a->sign == BIG_SIGN_MINUS)
|
---|
| 986 | {
|
---|
| 987 | *dst = '-';
|
---|
| 988 | }
|
---|
| 989 | else
|
---|
| 990 | {
|
---|
| 991 | dst++;
|
---|
| 992 | }
|
---|
| 993 | return dst;
|
---|
| 994 | }
|
---|
| 995 |
|
---|
| 996 | bigerr_t
|
---|
| 997 | big_negate(a, b)
|
---|
| 998 | bignum *a;
|
---|
| 999 | bignum *b;
|
---|
| 1000 | {
|
---|
| 1001 | big_set_big(a, b);
|
---|
| 1002 | b->sign = NEGATE_SIGN(a->sign);
|
---|
| 1003 | return big_errno;
|
---|
| 1004 | }
|
---|
| 1005 |
|
---|
| 1006 | int
|
---|
| 1007 | big_sign(a)
|
---|
| 1008 | bignum *a;
|
---|
| 1009 | {
|
---|
| 1010 | return a->sign;
|
---|
| 1011 | }
|
---|
| 1012 |
|
---|
| 1013 | bigerr_t
|
---|
| 1014 | big_abs(a, b)
|
---|
| 1015 | bignum *a;
|
---|
| 1016 | bignum *b;
|
---|
| 1017 | {
|
---|
| 1018 | big_set_big(a, b);
|
---|
| 1019 | if (a->sign == BIG_SIGN_MINUS)
|
---|
| 1020 | {
|
---|
| 1021 | b->sign = NEGATE_SIGN(a->sign);
|
---|
| 1022 | }
|
---|
| 1023 | return big_errno;
|
---|
| 1024 | }
|
---|
| 1025 |
|
---|
| 1026 | int
|
---|
| 1027 | big_compare(a, b)
|
---|
| 1028 | bignum *a;
|
---|
| 1029 | bignum *b;
|
---|
| 1030 | {
|
---|
| 1031 | if (a->sign == b->sign)
|
---|
| 1032 | {
|
---|
| 1033 | if (a->sign == 0)
|
---|
| 1034 | {
|
---|
| 1035 | return 0;
|
---|
| 1036 | }
|
---|
| 1037 | return
|
---|
| 1038 | (a->sign == BIG_SIGN_MINUS)
|
---|
| 1039 | ? -ucompare_digits(a, b)
|
---|
| 1040 | : ucompare_digits(a, b);
|
---|
| 1041 | }
|
---|
| 1042 | return b->sign - a->sign;
|
---|
| 1043 | }
|
---|
| 1044 |
|
---|
| 1045 | int
|
---|
| 1046 | big_lessp(a, b)
|
---|
| 1047 | bignum *a;
|
---|
| 1048 | bignum *b;
|
---|
| 1049 | {
|
---|
| 1050 | return big_compare(a, b) < 0;
|
---|
| 1051 | }
|
---|
| 1052 |
|
---|
| 1053 | int
|
---|
| 1054 | big_leqp(a, b)
|
---|
| 1055 | bignum *a;
|
---|
| 1056 | bignum *b;
|
---|
| 1057 | {
|
---|
| 1058 | return !(big_compare(a, b) > 0);
|
---|
| 1059 | }
|
---|
| 1060 |
|
---|
| 1061 | int
|
---|
| 1062 | big_equalp(a, b)
|
---|
| 1063 | bignum *a;
|
---|
| 1064 | bignum *b;
|
---|
| 1065 | {
|
---|
| 1066 | return big_compare(a, b) == 0;
|
---|
| 1067 | }
|
---|
| 1068 |
|
---|
| 1069 | int
|
---|
| 1070 | big_geqp(a, b)
|
---|
| 1071 | bignum *a;
|
---|
| 1072 | bignum *b;
|
---|
| 1073 | {
|
---|
| 1074 | return !(big_compare(a, b) < 0);
|
---|
| 1075 | }
|
---|
| 1076 |
|
---|
| 1077 | int
|
---|
| 1078 | big_greaterp(a, b)
|
---|
| 1079 | bignum *a;
|
---|
| 1080 | bignum *b;
|
---|
| 1081 | {
|
---|
| 1082 | return big_compare(a, b) > 0;
|
---|
| 1083 | }
|
---|
| 1084 |
|
---|
| 1085 | int
|
---|
| 1086 | big_zerop(a)
|
---|
| 1087 | bignum *a;
|
---|
| 1088 | {
|
---|
| 1089 | return a->sign == BIG_SIGN_0;
|
---|
| 1090 | }
|
---|
| 1091 |
|
---|
| 1092 | int
|
---|
| 1093 | big_evenp(a)
|
---|
| 1094 | bignum *a;
|
---|
| 1095 | {
|
---|
| 1096 | return ((*a->dp & 0x01) == 0);
|
---|
| 1097 | }
|
---|
| 1098 |
|
---|
| 1099 | int
|
---|
| 1100 | big_oddp(a)
|
---|
| 1101 | bignum *a;
|
---|
| 1102 | {
|
---|
| 1103 | return ((*a->dp & 0x01) == 1);
|
---|
| 1104 | }
|
---|
| 1105 |
|
---|
| 1106 | bigerr_t
|
---|
| 1107 | big_add(a, b, c)
|
---|
| 1108 | bignum *a;
|
---|
| 1109 | bignum *b;
|
---|
| 1110 | bignum *c;
|
---|
| 1111 | {
|
---|
| 1112 | int cmp;
|
---|
| 1113 |
|
---|
| 1114 | if (big_errno != BIG_OK)
|
---|
| 1115 | {
|
---|
| 1116 | return big_errno;
|
---|
| 1117 | }
|
---|
| 1118 | print_digits("add:\ta = ", a);
|
---|
| 1119 | print_digits("\tb = ", b);
|
---|
| 1120 | if (a->sign == b->sign)
|
---|
| 1121 | {
|
---|
| 1122 | uadd_digits(a, b, c);
|
---|
| 1123 | c->sign = a->sign;
|
---|
| 1124 | }
|
---|
| 1125 | else
|
---|
| 1126 | {
|
---|
| 1127 | cmp = ucompare_digits(a, b);
|
---|
| 1128 | if (cmp < 0)
|
---|
| 1129 | {
|
---|
| 1130 | usub_digits(b, a, c);
|
---|
| 1131 | if (zerop(c))
|
---|
| 1132 | {
|
---|
| 1133 | c->sign = BIG_SIGN_0;
|
---|
| 1134 | }
|
---|
| 1135 | else
|
---|
| 1136 | {
|
---|
| 1137 | c->sign = b->sign;
|
---|
| 1138 | }
|
---|
| 1139 | }
|
---|
| 1140 | else if (cmp > 0)
|
---|
| 1141 | {
|
---|
| 1142 | usub_digits(a, b, c);
|
---|
| 1143 | if (zerop(c))
|
---|
| 1144 | {
|
---|
| 1145 | c->sign = BIG_SIGN_0;
|
---|
| 1146 | }
|
---|
| 1147 | else
|
---|
| 1148 | {
|
---|
| 1149 | c->sign = a->sign;
|
---|
| 1150 | }
|
---|
| 1151 | }
|
---|
| 1152 | else
|
---|
| 1153 | {
|
---|
| 1154 | c->dgs_used = 1;
|
---|
| 1155 | *c->dp = 0;
|
---|
| 1156 | c->sign = BIG_SIGN_0;
|
---|
| 1157 | }
|
---|
| 1158 | }
|
---|
| 1159 | print_digits("\tc = ", c);
|
---|
| 1160 | return big_errno;
|
---|
| 1161 | }
|
---|
| 1162 |
|
---|
| 1163 | bigerr_t
|
---|
| 1164 | big_sub(a, b, c)
|
---|
| 1165 | bignum *a;
|
---|
| 1166 | bignum *b;
|
---|
| 1167 | bignum *c;
|
---|
| 1168 | {
|
---|
| 1169 | int cmp;
|
---|
| 1170 |
|
---|
| 1171 | if (big_errno != BIG_OK)
|
---|
| 1172 | {
|
---|
| 1173 | return big_errno;
|
---|
| 1174 | }
|
---|
| 1175 | print_digits("sub:\ta = ", a);
|
---|
| 1176 | print_digits("\tb = ", b);
|
---|
| 1177 | if (a->sign == BIG_SIGN_0)
|
---|
| 1178 | {
|
---|
| 1179 | big_set_big(b, c);
|
---|
| 1180 | big_negate(c, c);
|
---|
| 1181 | print_digits("\tc = ", c);
|
---|
| 1182 | return big_errno;
|
---|
| 1183 | }
|
---|
| 1184 | if (b->sign == BIG_SIGN_0)
|
---|
| 1185 | {
|
---|
| 1186 | big_set_big(a, c);
|
---|
| 1187 | print_digits("\tc = ", c);
|
---|
| 1188 | return big_errno;
|
---|
| 1189 | }
|
---|
| 1190 |
|
---|
| 1191 | cmp = ucompare_digits(a, b);
|
---|
| 1192 | if (cmp <= 0)
|
---|
| 1193 | {
|
---|
| 1194 | if (a->sign != b->sign)
|
---|
| 1195 | {
|
---|
| 1196 | uadd_digits(a, b, c);
|
---|
| 1197 | c->sign = a->sign;
|
---|
| 1198 | }
|
---|
| 1199 | else
|
---|
| 1200 | {
|
---|
| 1201 | usub_digits(b, a, c);
|
---|
| 1202 | c->sign = (zerop(c) ? BIG_SIGN_0 : NEGATE_SIGN(a->sign));
|
---|
| 1203 | }
|
---|
| 1204 | }
|
---|
| 1205 | else if (cmp > 0)
|
---|
| 1206 | {
|
---|
| 1207 | if (a->sign != b->sign)
|
---|
| 1208 | {
|
---|
| 1209 | uadd_digits(a, b, c);
|
---|
| 1210 | c->sign = a->sign;
|
---|
| 1211 | }
|
---|
| 1212 | else
|
---|
| 1213 | {
|
---|
| 1214 | usub_digits(a, b, c);
|
---|
| 1215 | c->sign = (zerop(c) ? BIG_SIGN_0 : b->sign);
|
---|
| 1216 | }
|
---|
| 1217 | }
|
---|
| 1218 | else
|
---|
| 1219 | {
|
---|
| 1220 | c->dgs_used = 1;
|
---|
| 1221 | *c->dp = 0;
|
---|
| 1222 | c->sign = BIG_SIGN_0;
|
---|
| 1223 | }
|
---|
| 1224 | print_digits("\tc = ", c);
|
---|
| 1225 | return big_errno;
|
---|
| 1226 | }
|
---|
| 1227 |
|
---|
| 1228 | bigerr_t
|
---|
| 1229 | big_mul(a, b, c)
|
---|
| 1230 | bignum *a;
|
---|
| 1231 | bignum *b;
|
---|
| 1232 | bignum *c;
|
---|
| 1233 | {
|
---|
| 1234 | DIGIT *dp_x, *dp_xstart, *dp_xend;
|
---|
| 1235 | DIGIT *dp_y, *dp_ystart, *dp_yend;
|
---|
| 1236 | DIGIT *dp_z, *dp_zstart, *dp_zend, *dp_zsumstart;
|
---|
| 1237 | ulong len_x, len_y /* , len_z */;
|
---|
| 1238 | DIGIT2 res;
|
---|
| 1239 | DIGIT tmp_res; /* Without use of this, gcc (v 1.39) generates */
|
---|
| 1240 | /* erroneous code on a sun386 machine */
|
---|
| 1241 | /* Should be removed with #ifdef's, when */
|
---|
| 1242 | /* not on a sun386, but... */
|
---|
| 1243 |
|
---|
| 1244 | if (big_errno != BIG_OK)
|
---|
| 1245 | {
|
---|
| 1246 | return big_errno;
|
---|
| 1247 | }
|
---|
| 1248 | print_digits("mul:\ta = ", a);
|
---|
| 1249 | print_digits("\tb = ", b);
|
---|
| 1250 |
|
---|
| 1251 | if (zerop(a) || zerop(b))
|
---|
| 1252 | {
|
---|
| 1253 | c->sign = BIG_SIGN_0;
|
---|
| 1254 | c->dgs_used = 1;
|
---|
| 1255 | *c->dp = 0;
|
---|
| 1256 | print_digits("(a=0 || b=0)c = ", c);
|
---|
| 1257 | return big_errno;
|
---|
| 1258 | }
|
---|
| 1259 | if (uonep(a))
|
---|
| 1260 | {
|
---|
| 1261 | big_set_big(b, c);
|
---|
| 1262 | c->sign = (a->sign == b->sign) ? BIG_SIGN_PLUS : BIG_SIGN_MINUS;
|
---|
| 1263 | print_digits("(abs(a)=1)c = ", c);
|
---|
| 1264 | return big_errno;
|
---|
| 1265 | }
|
---|
| 1266 | if (uonep(b))
|
---|
| 1267 | {
|
---|
| 1268 | big_set_big(a, c);
|
---|
| 1269 | c->sign = (a->sign == b->sign) ? BIG_SIGN_PLUS : BIG_SIGN_MINUS;
|
---|
| 1270 | print_digits("(abs(b)=1)c = ", c);
|
---|
| 1271 | return big_errno;
|
---|
| 1272 | }
|
---|
| 1273 |
|
---|
| 1274 | if (a->dgs_used < b->dgs_used)
|
---|
| 1275 | {
|
---|
| 1276 | dp_xstart = a->dp;
|
---|
| 1277 | len_x = a->dgs_used;
|
---|
| 1278 | dp_ystart = b->dp;
|
---|
| 1279 | len_y = b->dgs_used;
|
---|
| 1280 | }
|
---|
| 1281 | else
|
---|
| 1282 | {
|
---|
| 1283 | dp_xstart = b->dp;
|
---|
| 1284 | len_x = b->dgs_used;
|
---|
| 1285 | dp_ystart = a->dp;
|
---|
| 1286 | len_y = a->dgs_used;
|
---|
| 1287 | }
|
---|
| 1288 | if ((c == a) || (c == b))
|
---|
| 1289 | {
|
---|
| 1290 | if (newsize(&tmp_mul.dp, &tmp_mul.dgs_alloc,
|
---|
| 1291 | len_x + len_y, len_x + len_y + 2) != BIG_OK)
|
---|
| 1292 | {
|
---|
| 1293 | return big_errno;
|
---|
| 1294 | }
|
---|
| 1295 | dp_zsumstart = tmp_mul.dp;
|
---|
| 1296 | /* len_z = tmp_mul.dgs_alloc; */
|
---|
| 1297 | }
|
---|
| 1298 | else
|
---|
| 1299 | {
|
---|
| 1300 | if (newsize(&c->dp, &c->dgs_alloc,
|
---|
| 1301 | len_x + len_y, len_x + len_y + 2) != BIG_OK)
|
---|
| 1302 | {
|
---|
| 1303 | return big_errno;
|
---|
| 1304 | }
|
---|
| 1305 | dp_zsumstart = c->dp;
|
---|
| 1306 | /* len_z = c->dgs_alloc; */
|
---|
| 1307 | }
|
---|
| 1308 |
|
---|
| 1309 | dp_xend = dp_xstart + len_x;
|
---|
| 1310 | dp_yend = dp_ystart + len_y;
|
---|
| 1311 | dp_zend = dp_zsumstart + len_y;
|
---|
| 1312 |
|
---|
| 1313 | for (dp_z = dp_zsumstart; dp_z < dp_zend; dp_z++)
|
---|
| 1314 | {
|
---|
| 1315 | *dp_z = 0; /* Zero out rightmost digits */
|
---|
| 1316 | }
|
---|
| 1317 |
|
---|
| 1318 | dp_zstart = dp_zsumstart;
|
---|
| 1319 |
|
---|
| 1320 | for (dp_x = dp_xstart; dp_x < dp_xend; dp_x++)
|
---|
| 1321 | {
|
---|
| 1322 | dp_z = dp_zstart;
|
---|
| 1323 | tmp_res = 0;
|
---|
| 1324 | for (dp_y = dp_ystart; dp_y < dp_yend; dp_y++)
|
---|
| 1325 | {
|
---|
| 1326 | res = (DIGIT2)(*dp_x) * (*dp_y) + (*dp_z) + tmp_res;
|
---|
| 1327 | *dp_z++ = DIGIT_PART(res);
|
---|
| 1328 | tmp_res = SHIFT_DIGIT_DOWN(res);
|
---|
| 1329 | }
|
---|
| 1330 | *dp_z = tmp_res;
|
---|
| 1331 | dp_zstart++;
|
---|
| 1332 | }
|
---|
| 1333 | if (dp_zsumstart != c->dp)
|
---|
| 1334 | {
|
---|
| 1335 | tmp_digits = c->dp;
|
---|
| 1336 | c->dp = tmp_mul.dp;
|
---|
| 1337 | tmp_mul.dp = tmp_digits;
|
---|
| 1338 |
|
---|
| 1339 | tmp_ulong = c->dgs_alloc;
|
---|
| 1340 | c->dgs_alloc = tmp_mul.dgs_alloc;
|
---|
| 1341 | tmp_mul.dgs_alloc = tmp_ulong;
|
---|
| 1342 | }
|
---|
| 1343 | if (*dp_z == 0)
|
---|
| 1344 | {
|
---|
| 1345 | dp_z--;
|
---|
| 1346 | }
|
---|
| 1347 | c->dgs_used = dp_z - dp_zsumstart + 1;
|
---|
| 1348 | c->sign = a->sign * b->sign;
|
---|
| 1349 | print_digits("\tc = ", c);
|
---|
| 1350 | return big_errno;
|
---|
| 1351 | }
|
---|
| 1352 |
|
---|
| 1353 | bigerr_t
|
---|
| 1354 | big_trunc(a, b, q, r)
|
---|
| 1355 | bignum *a;
|
---|
| 1356 | bignum *b;
|
---|
| 1357 | bignum *q;
|
---|
| 1358 | bignum *r;
|
---|
| 1359 | {
|
---|
| 1360 | DIGIT *v_end, *q_end, *r_end, *src, *dst;
|
---|
| 1361 | DIGIT norm, qhat, t1, t2, t3, v1, v2, u1, u2, u3;
|
---|
| 1362 | DIGIT2 temp, res, carry;
|
---|
| 1363 | long a_l, b_l, q_l, r_l;
|
---|
| 1364 | #if 0
|
---|
| 1365 | ulong i;
|
---|
| 1366 | #endif
|
---|
| 1367 | ulong j, m, n;
|
---|
| 1368 | int cmp, q_eq_a, q_eq_b, r_eq_a, r_eq_b;
|
---|
| 1369 |
|
---|
| 1370 | if (big_errno != BIG_OK)
|
---|
| 1371 | {
|
---|
| 1372 | return big_errno;
|
---|
| 1373 | }
|
---|
| 1374 | print_digits("div:\ta = ", a);
|
---|
| 1375 | print_digits("\tb = ", b);
|
---|
| 1376 | if (zerop(b))
|
---|
| 1377 | {
|
---|
| 1378 | big_errno = BIG_DIV_ZERO;
|
---|
| 1379 | return big_errno;
|
---|
| 1380 | }
|
---|
| 1381 |
|
---|
| 1382 | if (q == r)
|
---|
| 1383 | {
|
---|
| 1384 | big_errno = BIG_ARGERR;
|
---|
| 1385 | return big_errno;
|
---|
| 1386 | }
|
---|
| 1387 |
|
---|
| 1388 | if (b->dgs_used == 1)
|
---|
| 1389 | {
|
---|
| 1390 | big_set_big(a, q);
|
---|
| 1391 | q->sign = ((a->sign == b->sign) ? BIG_SIGN_PLUS : BIG_SIGN_MINUS);
|
---|
| 1392 | *r->dp = udiv_digit(q, *b->dp);
|
---|
| 1393 | r->dgs_used = 1;
|
---|
| 1394 | r->sign = (zerop(r) ? BIG_SIGN_0 : a->sign);
|
---|
| 1395 | print_digits("\t3:q = ", q);
|
---|
| 1396 | print_digits("\t r = ", r);
|
---|
| 1397 | return big_errno;
|
---|
| 1398 | }
|
---|
| 1399 |
|
---|
| 1400 | if (big_long(a, &a_l)) /* Pretend it is a signed value */
|
---|
| 1401 | {
|
---|
| 1402 | big_long(b, &b_l); /* |a| < |b| so this will succeed */
|
---|
| 1403 | q_l = a_l / b_l; /* Compute with unsigned operators */
|
---|
| 1404 | r_l = a_l % b_l;
|
---|
| 1405 | big_set_long((long)q_l, q);
|
---|
| 1406 | big_set_long((long)r_l, r);
|
---|
| 1407 | print_digits("\t4:q = ", q);
|
---|
| 1408 | print_digits("\t r = ", r);
|
---|
| 1409 | return big_errno;
|
---|
| 1410 | }
|
---|
| 1411 |
|
---|
| 1412 | cmp = ucompare_digits(a, b); /* Unsigned compare, that is... */
|
---|
| 1413 | if (cmp < 0)
|
---|
| 1414 | {
|
---|
| 1415 | big_set_big(a, r); /* r = a (don't care about big_errno here) */
|
---|
| 1416 | q->sign = BIG_SIGN_0; /* q = 0 */
|
---|
| 1417 | *q->dp = 0;
|
---|
| 1418 | q->dgs_used = 1;
|
---|
| 1419 | print_digits("\t1:q = ", q);
|
---|
| 1420 | print_digits("\t r = ", r);
|
---|
| 1421 | return big_errno;
|
---|
| 1422 | }
|
---|
| 1423 | else
|
---|
| 1424 | if (cmp == 0)
|
---|
| 1425 | {
|
---|
| 1426 | q->sign = ((a->sign == b->sign) ? BIG_SIGN_PLUS : BIG_SIGN_MINUS);
|
---|
| 1427 | *q->dp = 1; /* q = 1 */
|
---|
| 1428 | q->dgs_used = 1;
|
---|
| 1429 | r->sign = BIG_SIGN_0; /* r = 0 */
|
---|
| 1430 | *r->dp = 0;
|
---|
| 1431 | r->dgs_used = 1;
|
---|
| 1432 | print_digits("\t2:q = ", q);
|
---|
| 1433 | print_digits("\t r = ", r);
|
---|
| 1434 | return big_errno;
|
---|
| 1435 | }
|
---|
| 1436 |
|
---|
| 1437 | q_eq_a = (q == a);
|
---|
| 1438 | q_eq_b = (q == b);
|
---|
| 1439 | if (q_eq_a || q_eq_b)
|
---|
| 1440 | {
|
---|
| 1441 | q = &tmp_q;
|
---|
| 1442 | }
|
---|
| 1443 |
|
---|
| 1444 | r_eq_a = (r == a);
|
---|
| 1445 | r_eq_b = (r == b);
|
---|
| 1446 | if (r_eq_a || r_eq_b)
|
---|
| 1447 | {
|
---|
| 1448 | r = &tmp_r;
|
---|
| 1449 | }
|
---|
| 1450 |
|
---|
| 1451 | if (newsize(&r->dp, &r->dgs_alloc, /* At least one more dig in r */
|
---|
| 1452 | a->dgs_used + 1, a->dgs_used + 2) != BIG_OK)
|
---|
| 1453 | {
|
---|
| 1454 | return big_errno;
|
---|
| 1455 | }
|
---|
| 1456 | big_set_big(a, r);
|
---|
| 1457 | r->dp[a->dgs_used] = 0; /* In case no overflow in mult. */
|
---|
| 1458 |
|
---|
| 1459 | n = b->dgs_used;
|
---|
| 1460 | v_end = b->dp + n - 1;
|
---|
| 1461 | norm = DIGIT_PART((DIGIT_BASE / ((DIGIT2)*v_end + 1)));
|
---|
| 1462 | if (norm != 1)
|
---|
| 1463 | {
|
---|
| 1464 | umul_digit(r, norm);
|
---|
| 1465 | umul_digit(b, norm);
|
---|
| 1466 | print_digits("r = ", r);
|
---|
| 1467 | print_digits("b = ", b);
|
---|
| 1468 | }
|
---|
| 1469 | m = a->dgs_used + 1 - b->dgs_used;
|
---|
| 1470 | r_end = r->dp + a->dgs_used;
|
---|
| 1471 |
|
---|
| 1472 | if (newsize(&q->dp, &q->dgs_alloc, m, m + 2) != BIG_OK)
|
---|
| 1473 | {
|
---|
| 1474 | return big_errno;
|
---|
| 1475 | }
|
---|
| 1476 | q_end = q->dp + m - 1;
|
---|
| 1477 |
|
---|
| 1478 | v1 = *v_end;
|
---|
| 1479 | v2 = *(v_end - 1);
|
---|
| 1480 |
|
---|
| 1481 | for (j = 0; j < m; j++) /* m steps through division */
|
---|
| 1482 | {
|
---|
| 1483 | u1 = *r_end; /* routine */
|
---|
| 1484 | u2 = *(r_end - 1);
|
---|
| 1485 | u3 = *(r_end - 2);
|
---|
| 1486 | qhat = ((u1 == v1) ?
|
---|
| 1487 | MAX_DIGIT :
|
---|
| 1488 | DIGIT_PART(((DIGIT2)u1 * DIGIT_BASE + u2) / v1));
|
---|
| 1489 | while (1)
|
---|
| 1490 | {
|
---|
| 1491 | t3 = DIGIT_PART(temp = (DIGIT2)qhat * v2);
|
---|
| 1492 | t2 = DIGIT_PART(temp = SHIFT_DIGIT_DOWN(temp) + v1 * (DIGIT2)qhat);
|
---|
| 1493 | t1 = DIGIT_PART(SHIFT_DIGIT_DOWN(temp));
|
---|
| 1494 | #if 0
|
---|
| 1495 | printf("t1 = %lu, ", (ulong)t1);
|
---|
| 1496 | printf("t2 = %lu, ", (ulong)t2);
|
---|
| 1497 | printf("t3 = %lu\n", (ulong)t3);
|
---|
| 1498 | #endif
|
---|
| 1499 | if (t1 < u1) break;
|
---|
| 1500 | if (t1 > u1) {--qhat; continue; }
|
---|
| 1501 | if (t2 < u2) break;
|
---|
| 1502 | if (t2 > u2) { --qhat; continue; }
|
---|
| 1503 | if (t3 <= u3) break;
|
---|
| 1504 | qhat--;
|
---|
| 1505 | }
|
---|
| 1506 |
|
---|
| 1507 | /* This is a tricky one - multiply and subtract simultaneously */
|
---|
| 1508 | carry = 1;
|
---|
| 1509 | res = 0;
|
---|
| 1510 | src = b->dp;
|
---|
| 1511 | dst = r->dp + m - j - 1;
|
---|
| 1512 | while (src <= v_end)
|
---|
| 1513 | {
|
---|
| 1514 | res = (DIGIT2)qhat * *(src++) + SHIFT_DIGIT_DOWN(res);
|
---|
| 1515 | carry += (DIGIT2)(*dst) + MAX_DIGIT - DIGIT_PART(res);
|
---|
| 1516 | *(dst++) = DIGIT_PART(carry);
|
---|
| 1517 | carry = DIGIT_PART(SHIFT_DIGIT_DOWN(carry));
|
---|
| 1518 | }
|
---|
| 1519 | carry += (DIGIT2)(*dst) + MAX_DIGIT - SHIFT_DIGIT_DOWN(res);
|
---|
| 1520 | *dst = DIGIT_PART(carry);
|
---|
| 1521 | carry = DIGIT_PART(SHIFT_DIGIT_DOWN(carry));
|
---|
| 1522 |
|
---|
| 1523 | if (carry == 0)
|
---|
| 1524 | {
|
---|
| 1525 | qhat--;
|
---|
| 1526 | src = b->dp;
|
---|
| 1527 | dst = r->dp + m - j - 1;
|
---|
| 1528 | while (dst <= r_end)
|
---|
| 1529 | {
|
---|
| 1530 | carry = (DIGIT2)(*dst) + *src++ + SHIFT_DIGIT_DOWN(carry);
|
---|
| 1531 | *dst++ = DIGIT_PART(carry);
|
---|
| 1532 | }
|
---|
| 1533 | *dst = 0;
|
---|
| 1534 | }
|
---|
| 1535 | *(q_end - j) = DIGIT_PART(qhat);
|
---|
| 1536 | r_end--;
|
---|
| 1537 | }
|
---|
| 1538 | r->sign = a->sign;
|
---|
| 1539 | #if 0
|
---|
| 1540 | i = r->dgs_used;
|
---|
| 1541 | #endif
|
---|
| 1542 | while ((*r_end == 0) && (r_end > r->dp))
|
---|
| 1543 | {
|
---|
| 1544 | r_end--;
|
---|
| 1545 | }
|
---|
| 1546 | if (r_end == r->dp)
|
---|
| 1547 | {
|
---|
| 1548 | r->dgs_used = 1;
|
---|
| 1549 | r->sign = BIG_SIGN_0;
|
---|
| 1550 | }
|
---|
| 1551 | else
|
---|
| 1552 | {
|
---|
| 1553 | r->dgs_used = r_end - r->dp + 1;
|
---|
| 1554 | r->sign = a->sign;
|
---|
| 1555 | }
|
---|
| 1556 | if (norm != 1)
|
---|
| 1557 | {
|
---|
| 1558 | udiv_digit(b, norm);
|
---|
| 1559 | udiv_digit(r, norm);
|
---|
| 1560 | }
|
---|
| 1561 | while ((*q_end == 0) && (q_end > q->dp)) /* This is not needed!(?) */
|
---|
| 1562 | {
|
---|
| 1563 | q_end--;
|
---|
| 1564 | }
|
---|
| 1565 | /* was ifdef'd out already in original */
|
---|
| 1566 | #if 0
|
---|
| 1567 | i = m - 1;
|
---|
| 1568 | while ((i > 0) && (q->dp[i--] == 0))
|
---|
| 1569 | {
|
---|
| 1570 | /* Loop through all zeroes */
|
---|
| 1571 | }
|
---|
| 1572 | #endif
|
---|
| 1573 | q->dgs_used = q_end - q->dp + 1;
|
---|
| 1574 | q->sign = ((a->sign == b->sign) ? BIG_SIGN_PLUS : BIG_SIGN_MINUS);
|
---|
| 1575 |
|
---|
| 1576 | if (q_eq_a)
|
---|
| 1577 | {
|
---|
| 1578 | big_set_big(q, a);
|
---|
| 1579 | }
|
---|
| 1580 | else
|
---|
| 1581 | if (q_eq_b)
|
---|
| 1582 | {
|
---|
| 1583 | big_set_big(q, b);
|
---|
| 1584 | }
|
---|
| 1585 |
|
---|
| 1586 | if (r_eq_b)
|
---|
| 1587 | {
|
---|
| 1588 | big_set_big(r, b);
|
---|
| 1589 | }
|
---|
| 1590 | else
|
---|
| 1591 | if (r_eq_a)
|
---|
| 1592 | {
|
---|
| 1593 | big_set_big(r, a);
|
---|
| 1594 | }
|
---|
| 1595 |
|
---|
| 1596 | print_digits("\t5:q = ", q);
|
---|
| 1597 | print_digits("\t r = ", r);
|
---|
| 1598 | return big_errno;
|
---|
| 1599 | }
|
---|
| 1600 |
|
---|
| 1601 | bigerr_t
|
---|
| 1602 | big_floor(a, b, q, r)
|
---|
| 1603 | bignum *a;
|
---|
| 1604 | bignum *b;
|
---|
| 1605 | bignum *q;
|
---|
| 1606 | bignum *r;
|
---|
| 1607 | {
|
---|
| 1608 | int b_eq_qr, sign_eq;
|
---|
| 1609 |
|
---|
| 1610 | if ( ( b_eq_qr = ((b == q) || (b == r)) ) )
|
---|
| 1611 | {
|
---|
| 1612 | big_set_big(b, &tmp_mul);
|
---|
| 1613 | }
|
---|
| 1614 | sign_eq = a->sign == b->sign;
|
---|
| 1615 | big_trunc(a, b, q, r);
|
---|
| 1616 | if (sign_eq)
|
---|
| 1617 | {
|
---|
| 1618 | return big_errno;
|
---|
| 1619 | }
|
---|
| 1620 | if (!zerop(r))
|
---|
| 1621 | {
|
---|
| 1622 | if (b_eq_qr)
|
---|
| 1623 | {
|
---|
| 1624 | big_add(r, &tmp_mul, r);
|
---|
| 1625 | }
|
---|
| 1626 | else
|
---|
| 1627 | {
|
---|
| 1628 | big_add(r, b, r);
|
---|
| 1629 | }
|
---|
| 1630 | print_digits("big_one = ", &big_one);
|
---|
| 1631 | big_sub(q, &big_one, q);
|
---|
| 1632 | }
|
---|
| 1633 | return big_errno;
|
---|
| 1634 | }
|
---|
| 1635 |
|
---|
| 1636 | bigerr_t
|
---|
| 1637 | big_ceil(a, b, q, r)
|
---|
| 1638 | bignum *a;
|
---|
| 1639 | bignum *b;
|
---|
| 1640 | bignum *q;
|
---|
| 1641 | bignum *r;
|
---|
| 1642 | {
|
---|
| 1643 | int b_eq_qr, sign_diff;
|
---|
| 1644 |
|
---|
| 1645 | if ( ( b_eq_qr = ((b == q) || (b == r)) ) )
|
---|
| 1646 | {
|
---|
| 1647 | big_set_big(b, &tmp_mul);
|
---|
| 1648 | }
|
---|
| 1649 | sign_diff = a->sign != b->sign;
|
---|
| 1650 | big_trunc(a, b, q, r);
|
---|
| 1651 | if (sign_diff)
|
---|
| 1652 | {
|
---|
| 1653 | return big_errno;
|
---|
| 1654 | }
|
---|
| 1655 | if (!zerop(r))
|
---|
| 1656 | {
|
---|
| 1657 | if (b_eq_qr)
|
---|
| 1658 | {
|
---|
| 1659 | big_sub(r, &tmp_mul, r);
|
---|
| 1660 | }
|
---|
| 1661 | else
|
---|
| 1662 | {
|
---|
| 1663 | big_sub(r, b, r);
|
---|
| 1664 | }
|
---|
| 1665 | big_add(q, &big_one, q);
|
---|
| 1666 | }
|
---|
| 1667 | return big_errno;
|
---|
| 1668 | }
|
---|
| 1669 |
|
---|
| 1670 | #ifdef UNUSED_CODE
|
---|
| 1671 | /* This one doesn't work to 100%. I was a little braindamaged when I wrote
|
---|
| 1672 | * this, but I'll eventually fix it. Zzzzzzz.
|
---|
| 1673 | */
|
---|
| 1674 | bigerr_t
|
---|
| 1675 | big_round(a, b, q, r)
|
---|
| 1676 | bignum *a;
|
---|
| 1677 | bignum *b;
|
---|
| 1678 | bignum *q;
|
---|
| 1679 | bignum *r;
|
---|
| 1680 | {
|
---|
| 1681 | int b_eq_qr, b_neg_p, a_sgn_neq_b_sgn;
|
---|
| 1682 |
|
---|
| 1683 | if ( ( b_eq_qr = ((b == q) || (b == r)) ) )
|
---|
| 1684 | {
|
---|
| 1685 | big_set_big(b, &tmp_round);
|
---|
| 1686 | }
|
---|
| 1687 | b_neg_p = b->sign == BIG_SIGN_MINUS;
|
---|
| 1688 | a_sgn_neq_b_sgn = a->sign != b->sign;
|
---|
| 1689 | big_trunc(a, b, q, r);
|
---|
| 1690 |
|
---|
| 1691 | big_set_big(r, &tmp_add);
|
---|
| 1692 | umul_digit(&tmp_add, 2);
|
---|
| 1693 | if (ucompare_digits(&tmp_add, b) > 0) /* |2 * r| > |b| */
|
---|
| 1694 | {
|
---|
| 1695 | if (q->sign == BIG_SIGN_0)
|
---|
| 1696 | {
|
---|
| 1697 | if (a_sgn_neq_b_sgn)
|
---|
| 1698 | {
|
---|
| 1699 | big_sub(q, &big_one, q);
|
---|
| 1700 | }
|
---|
| 1701 | else
|
---|
| 1702 | {
|
---|
| 1703 | big_add(q, &big_one, q);
|
---|
| 1704 | }
|
---|
| 1705 | }
|
---|
| 1706 | else
|
---|
| 1707 | {
|
---|
| 1708 | if (q->sign == BIG_SIGN_MINUS)
|
---|
| 1709 | {
|
---|
| 1710 | big_sub(q, &big_one, q);
|
---|
| 1711 | }
|
---|
| 1712 | else
|
---|
| 1713 | {
|
---|
| 1714 | big_add(q, &big_one, q);
|
---|
| 1715 | }
|
---|
| 1716 | }
|
---|
| 1717 | if (b_eq_qr)
|
---|
| 1718 | {
|
---|
| 1719 | if (q->sign == BIG_SIGN_PLUS)
|
---|
| 1720 | {
|
---|
| 1721 | big_sub(r, &tmp_round, r);
|
---|
| 1722 | }
|
---|
| 1723 | else
|
---|
| 1724 | {
|
---|
| 1725 | big_add(r, &tmp_round, r);
|
---|
| 1726 | }
|
---|
| 1727 | }
|
---|
| 1728 | else
|
---|
| 1729 | {
|
---|
| 1730 | if (q->sign == BIG_SIGN_PLUS)
|
---|
| 1731 | {
|
---|
| 1732 | big_sub(r, b, r);
|
---|
| 1733 | }
|
---|
| 1734 | else
|
---|
| 1735 | {
|
---|
| 1736 | big_add(r, b, r);
|
---|
| 1737 | }
|
---|
| 1738 | }
|
---|
| 1739 | }
|
---|
| 1740 | return big_errno;
|
---|
| 1741 | }
|
---|
| 1742 |
|
---|
| 1743 | bigerr_t
|
---|
| 1744 | big_random(a, b)
|
---|
| 1745 | bignum *a;
|
---|
| 1746 | bignum *b;
|
---|
| 1747 | {
|
---|
| 1748 | unsigned long i;
|
---|
| 1749 | int a_sgn = a->sign;
|
---|
| 1750 |
|
---|
| 1751 | if (big_errno != BIG_OK)
|
---|
| 1752 | {
|
---|
| 1753 | return big_errno;
|
---|
| 1754 | }
|
---|
| 1755 | if (zerop(a)) /* a = 0 -> big_random => 0 (special case) */
|
---|
| 1756 | {
|
---|
| 1757 | *b->dp = 0;
|
---|
| 1758 | b->dgs_used = 1;
|
---|
| 1759 | b->sign = a_sgn;
|
---|
| 1760 | return big_errno;
|
---|
| 1761 | }
|
---|
| 1762 | if (newsize(&tmp_rand.dp, &tmp_rand.dgs_alloc,
|
---|
| 1763 | a->dgs_used + 1, a->dgs_used + 1) != BIG_OK)
|
---|
| 1764 | {
|
---|
| 1765 | return big_errno;
|
---|
| 1766 | }
|
---|
| 1767 | for (i = 0; i <= a->dgs_used; i++)
|
---|
| 1768 | {
|
---|
| 1769 | tmp_rand.dp[i] = rand();
|
---|
| 1770 | }
|
---|
| 1771 | while (tmp_rand.dp[a->dgs_used] == 0) /* Make sure high digit is non-0 */
|
---|
| 1772 | {
|
---|
| 1773 | tmp_rand.dp[a->dgs_used] = rand();
|
---|
| 1774 | }
|
---|
| 1775 | tmp_rand.dgs_used = a->dgs_used + 1;
|
---|
| 1776 | tmp_rand.sign = BIG_SIGN_PLUS;
|
---|
| 1777 | a->sign = BIG_SIGN_PLUS;
|
---|
| 1778 | big_trunc(&tmp_rand, a, &tmp_q, b); /* Dangerous to use tmp_q here... */
|
---|
| 1779 | a->sign = a_sgn;
|
---|
| 1780 | b->sign = zerop(&tmp_rand) ? BIG_SIGN_0 : a_sgn;
|
---|
| 1781 | return big_errno;
|
---|
| 1782 | }
|
---|
| 1783 |
|
---|
| 1784 | /* UNUSED_CODE */
|
---|
| 1785 | #endif
|
---|
| 1786 |
|
---|
| 1787 | /* ----------------------------------------------------------------------
|
---|
| 1788 | * External functions that do not need to know anything about the internal
|
---|
| 1789 | * representation of a bignum.
|
---|
| 1790 | */
|
---|
| 1791 |
|
---|
| 1792 | #ifdef UNUSED_CODE
|
---|
| 1793 |
|
---|
| 1794 | int
|
---|
| 1795 | big_expt(a, z, x)
|
---|
| 1796 | bignum *a;
|
---|
| 1797 | unsigned long z;
|
---|
| 1798 | bignum *x;
|
---|
| 1799 | {
|
---|
| 1800 | bignum b;
|
---|
| 1801 |
|
---|
| 1802 | big_create(&b);
|
---|
| 1803 | big_set_big(a, &b);
|
---|
| 1804 | big_set_long((long)1, x);
|
---|
| 1805 |
|
---|
| 1806 | while ((z != 0) && (big_errno == BIG_OK))
|
---|
| 1807 | {
|
---|
| 1808 | while ((z & 0x01) == 0)
|
---|
| 1809 | {
|
---|
| 1810 | z >>= 1;
|
---|
| 1811 | big_mul(&b, &b, &b);
|
---|
| 1812 | }
|
---|
| 1813 | z -= 1;
|
---|
| 1814 | big_mul(x, &b, x);
|
---|
| 1815 | }
|
---|
| 1816 |
|
---|
| 1817 | big_destroy(&b);
|
---|
| 1818 | return big_errno;
|
---|
| 1819 | }
|
---|
| 1820 |
|
---|
| 1821 | /* UNUSED_CODE */
|
---|
| 1822 | #endif
|
---|
| 1823 |
|
---|
| 1824 | int
|
---|
| 1825 | big_exptmod(a_in, z_in, n, x)
|
---|
| 1826 | bignum *a_in;
|
---|
| 1827 | bignum *z_in;
|
---|
| 1828 | bignum *n;
|
---|
| 1829 | bignum *x;
|
---|
| 1830 | {
|
---|
| 1831 | bignum a, z, b0, b1, b2, dummy;
|
---|
| 1832 |
|
---|
| 1833 | big_create(&a);
|
---|
| 1834 | big_create(&z);
|
---|
| 1835 | big_create(&b0);
|
---|
| 1836 | big_create(&b1);
|
---|
| 1837 | big_create(&b2);
|
---|
| 1838 | big_create(&dummy);
|
---|
| 1839 |
|
---|
| 1840 | big_set_big(a_in, &a);
|
---|
| 1841 | big_set_big(z_in, &z);
|
---|
| 1842 | big_set_long((long)1, x);
|
---|
| 1843 | big_set_long((long)0, &b0);
|
---|
| 1844 | big_set_long((long)1, &b1);
|
---|
| 1845 | big_set_long((long)2, &b2);
|
---|
| 1846 |
|
---|
| 1847 | /* No foolproof testing on big_errno - it really ought to be done */
|
---|
| 1848 | while ((big_compare(&z, &b0) != 0) && (big_errno == BIG_OK))
|
---|
| 1849 | {
|
---|
| 1850 | while (big_evenp(&z) && (big_errno == BIG_OK))
|
---|
| 1851 | {
|
---|
| 1852 | big_trunc(&z, &b2, &z, &dummy);
|
---|
| 1853 | big_mul(&a, &a, &a);
|
---|
| 1854 | big_trunc(&a, n, &dummy, &a);
|
---|
| 1855 | }
|
---|
| 1856 | big_sub(&z, &b1, &z);
|
---|
| 1857 | big_mul(x, &a, x);
|
---|
| 1858 | big_trunc(x, n, &dummy, x);
|
---|
| 1859 | }
|
---|
| 1860 |
|
---|
| 1861 | big_destroy(&dummy);
|
---|
| 1862 | big_destroy(&b2);
|
---|
| 1863 | big_destroy(&b1);
|
---|
| 1864 | big_destroy(&b0);
|
---|
| 1865 | big_destroy(&z);
|
---|
| 1866 | big_destroy(&a);
|
---|
| 1867 |
|
---|
| 1868 | return big_errno;
|
---|
| 1869 | }
|
---|
| 1870 |
|
---|
| 1871 | #ifdef UNUSED_CODE
|
---|
| 1872 |
|
---|
| 1873 | int
|
---|
| 1874 | big_gcd(a, b, g)
|
---|
| 1875 | bignum *a;
|
---|
| 1876 | bignum *b;
|
---|
| 1877 | bignum *g;
|
---|
| 1878 | {
|
---|
| 1879 | bignum a1, b1, tmp;
|
---|
| 1880 |
|
---|
| 1881 | if (big_zerop(b))
|
---|
| 1882 | {
|
---|
| 1883 | big_abs(a, g);
|
---|
| 1884 | return big_errno;
|
---|
| 1885 | }
|
---|
| 1886 |
|
---|
| 1887 | big_create(&a1);
|
---|
| 1888 | big_create(&b1);
|
---|
| 1889 | big_create(&tmp);
|
---|
| 1890 |
|
---|
| 1891 | big_abs(a, &a1);
|
---|
| 1892 | big_abs(b, &b1);
|
---|
| 1893 |
|
---|
| 1894 | while (!big_zerop(&b1) && (big_errno == BIG_OK))
|
---|
| 1895 | {
|
---|
| 1896 | big_floor(&a1, &b1, &tmp, &a1);
|
---|
| 1897 | if (big_zerop(&a1))
|
---|
| 1898 | {
|
---|
| 1899 | break;
|
---|
| 1900 | }
|
---|
| 1901 | big_floor(&b1, &a1, &tmp, &b1);
|
---|
| 1902 | }
|
---|
| 1903 |
|
---|
| 1904 | if (big_zerop(&a1))
|
---|
| 1905 | {
|
---|
| 1906 | big_set_big(&b1, g);
|
---|
| 1907 | }
|
---|
| 1908 | else
|
---|
| 1909 | {
|
---|
| 1910 | big_set_big(&a1, g);
|
---|
| 1911 | }
|
---|
| 1912 |
|
---|
| 1913 | big_destroy(&tmp);
|
---|
| 1914 | big_destroy(&b1);
|
---|
| 1915 | big_destroy(&a1);
|
---|
| 1916 |
|
---|
| 1917 | return big_errno;
|
---|
| 1918 | }
|
---|
| 1919 | /* UNUSED_CODE */
|
---|
| 1920 | #endif
|
---|
| 1921 |
|
---|
| 1922 | /* #if (defined (SH_WITH_CLIENT) || defined (SH_WITH_SERVER)) */
|
---|
| 1923 | #endif
|
---|
| 1924 |
|
---|