1 /* 2 * ***************************************************************************** 3 * 4 * Copyright (c) 2018-2020 Gavin D. Howard and contributors. 5 * 6 * All rights reserved. 7 * 8 * Redistribution and use in source and binary forms, with or without 9 * modification, are permitted provided that the following conditions are met: 10 * 11 * * Redistributions of source code must retain the above copyright notice, this 12 * list of conditions and the following disclaimer. 13 * 14 * * Redistributions in binary form must reproduce the above copyright notice, 15 * this list of conditions and the following disclaimer in the documentation 16 * and/or other materials provided with the distribution. 17 * 18 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" 19 * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 20 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 21 * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE 22 * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR 23 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF 24 * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS 25 * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN 26 * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) 27 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE 28 * POSSIBILITY OF SUCH DAMAGE. 29 * 30 * ***************************************************************************** 31 * 32 * Definitions for the num type. 33 * 34 */ 35 36 #ifndef BC_NUM_H 37 #define BC_NUM_H 38 39 #include <limits.h> 40 #include <stdbool.h> 41 #include <stddef.h> 42 #include <stdint.h> 43 44 #include <sys/types.h> 45 46 #include <status.h> 47 #include <vector.h> 48 49 #ifndef BC_ENABLE_EXTRA_MATH 50 #define BC_ENABLE_EXTRA_MATH (1) 51 #endif // BC_ENABLE_EXTRA_MATH 52 53 #define BC_BASE (10) 54 55 typedef unsigned long ulong; 56 57 // For some reason, LONG_BIT is not defined in some versions of gcc. 58 // I define it here to the minimum accepted value in the POSIX standard. 59 #ifndef LONG_BIT 60 #define LONG_BIT (32) 61 #endif // LONG_BIT 62 63 #ifndef BC_LONG_BIT 64 #define BC_LONG_BIT LONG_BIT 65 #endif // BC_LONG_BIT 66 67 #if BC_LONG_BIT > LONG_BIT 68 #error BC_LONG_BIT cannot be greater than LONG_BIT 69 #endif // BC_LONG_BIT > LONG_BIT 70 71 #if BC_LONG_BIT >= 64 72 73 typedef int_least32_t BcDig; 74 typedef uint64_t BcBigDig; 75 76 #define BC_NUM_BIGDIG_MAX ((BcBigDig) UINT64_MAX) 77 78 #define BC_BASE_DIGS (9) 79 #define BC_BASE_POW (1000000000) 80 81 #define BC_NUM_BIGDIG_C UINT64_C 82 83 #elif BC_LONG_BIT >= 32 84 85 typedef int_least16_t BcDig; 86 typedef uint32_t BcBigDig; 87 88 #define BC_NUM_BIGDIG_MAX ((BcBigDig) UINT32_MAX) 89 90 #define BC_BASE_DIGS (4) 91 #define BC_BASE_POW (10000) 92 93 #define BC_NUM_BIGDIG_C UINT32_C 94 95 #else 96 97 #error BC_LONG_BIT must be at least 32 98 99 #endif // BC_LONG_BIT >= 64 100 101 #define BC_NUM_DEF_SIZE (8) 102 103 typedef struct BcNum { 104 BcDig *restrict num; 105 size_t rdx; 106 size_t scale; 107 size_t len; 108 size_t cap; 109 bool neg; 110 } BcNum; 111 112 #if BC_ENABLE_EXTRA_MATH 113 // Forward declaration 114 struct BcRNG; 115 #endif // BC_ENABLE_EXTRA_MATH 116 117 #define BC_NUM_MIN_BASE (BC_NUM_BIGDIG_C(2)) 118 #define BC_NUM_MAX_POSIX_IBASE (BC_NUM_BIGDIG_C(16)) 119 #define BC_NUM_MAX_IBASE (BC_NUM_BIGDIG_C(36)) 120 // This is the max base allowed by bc_num_parseChar(). 121 #define BC_NUM_MAX_LBASE (BC_NUM_BIGDIG_C('Z' + BC_BASE + 1)) 122 #define BC_NUM_PRINT_WIDTH (BC_NUM_BIGDIG_C(69)) 123 124 #ifndef BC_NUM_KARATSUBA_LEN 125 #define BC_NUM_KARATSUBA_LEN (BC_NUM_BIGDIG_C(32)) 126 #elif BC_NUM_KARATSUBA_LEN < 16 127 #error BC_NUM_KARATSUBA_LEN must be at least 16. 128 #endif // BC_NUM_KARATSUBA_LEN 129 130 // A crude, but always big enough, calculation of 131 // the size required for ibase and obase BcNum's. 132 #define BC_NUM_BIGDIG_LOG10 (BC_NUM_DEF_SIZE) 133 134 #define BC_NUM_NONZERO(n) ((n)->len) 135 #define BC_NUM_ZERO(n) (!BC_NUM_NONZERO(n)) 136 #define BC_NUM_ONE(n) ((n)->len == 1 && (n)->rdx == 0 && (n)->num[0] == 1) 137 138 #define BC_NUM_NUM_LETTER(c) ((c) - 'A' + BC_BASE) 139 140 #define BC_NUM_KARATSUBA_ALLOCS (6) 141 142 #define BC_NUM_ROUND_POW(s) (bc_vm_growSize((s), BC_BASE_DIGS - 1)) 143 #define BC_NUM_RDX(s) (BC_NUM_ROUND_POW(s) / BC_BASE_DIGS) 144 145 #define BC_NUM_SIZE(n) ((n) * sizeof(BcDig)) 146 147 #if BC_DEBUG_CODE 148 #define BC_NUM_PRINT(x) fprintf(stderr, "%s = %lu\n", #x, (unsigned long)(x)) 149 #define DUMP_NUM bc_num_dump 150 #else // BC_DEBUG_CODE 151 #undef DUMP_NUM 152 #define DUMP_NUM(x,y) 153 #define BC_NUM_PRINT(x) 154 #endif // BC_DEBUG_CODE 155 156 typedef void (*BcNumBinaryOp)(BcNum*, BcNum*, BcNum*, size_t); 157 typedef size_t (*BcNumBinaryOpReq)(const BcNum*, const BcNum*, size_t); 158 typedef void (*BcNumDigitOp)(size_t, size_t, bool); 159 typedef void (*BcNumShiftAddOp)(BcDig*, const BcDig*, size_t); 160 161 void bc_num_init(BcNum *restrict n, size_t req); 162 void bc_num_setup(BcNum *restrict n, BcDig *restrict num, size_t cap); 163 void bc_num_copy(BcNum *d, const BcNum *s); 164 void bc_num_createCopy(BcNum *d, const BcNum *s); 165 void bc_num_createFromBigdig(BcNum *n, BcBigDig val); 166 void bc_num_clear(BcNum *restrict n); 167 void bc_num_free(void *num); 168 169 size_t bc_num_scale(const BcNum *restrict n); 170 size_t bc_num_len(const BcNum *restrict n); 171 172 void bc_num_bigdig(const BcNum *restrict n, BcBigDig *result); 173 void bc_num_bigdig2(const BcNum *restrict n, BcBigDig *result); 174 void bc_num_bigdig2num(BcNum *restrict n, BcBigDig val); 175 176 #if BC_ENABLE_EXTRA_MATH 177 void bc_num_irand(const BcNum *restrict a, BcNum *restrict b, 178 struct BcRNG *restrict rng); 179 void bc_num_rng(const BcNum *restrict n, struct BcRNG *rng); 180 void bc_num_createFromRNG(BcNum *restrict n, struct BcRNG *rng); 181 #endif // BC_ENABLE_EXTRA_MATH 182 183 void bc_num_add(BcNum *a, BcNum *b, BcNum *c, size_t scale); 184 void bc_num_sub(BcNum *a, BcNum *b, BcNum *c, size_t scale); 185 void bc_num_mul(BcNum *a, BcNum *b, BcNum *c, size_t scale); 186 void bc_num_div(BcNum *a, BcNum *b, BcNum *c, size_t scale); 187 void bc_num_mod(BcNum *a, BcNum *b, BcNum *c, size_t scale); 188 void bc_num_pow(BcNum *a, BcNum *b, BcNum *c, size_t scale); 189 #if BC_ENABLE_EXTRA_MATH 190 void bc_num_places(BcNum *a, BcNum *b, BcNum *c, size_t scale); 191 void bc_num_lshift(BcNum *a, BcNum *b, BcNum *c, size_t scale); 192 void bc_num_rshift(BcNum *a, BcNum *b, BcNum *c, size_t scale); 193 #endif // BC_ENABLE_EXTRA_MATH 194 void bc_num_sqrt(BcNum *restrict a, BcNum *restrict b, size_t scale); 195 void bc_num_divmod(BcNum *a, BcNum *b, BcNum *c, BcNum *d, size_t scale); 196 197 size_t bc_num_addReq(const BcNum* a, const BcNum* b, size_t scale); 198 199 size_t bc_num_mulReq(const BcNum *a, const BcNum *b, size_t scale); 200 size_t bc_num_powReq(const BcNum *a, const BcNum *b, size_t scale); 201 #if BC_ENABLE_EXTRA_MATH 202 size_t bc_num_placesReq(const BcNum *a, const BcNum *b, size_t scale); 203 #endif // BC_ENABLE_EXTRA_MATH 204 205 void bc_num_truncate(BcNum *restrict n, size_t places); 206 ssize_t bc_num_cmp(const BcNum *a, const BcNum *b); 207 208 #if DC_ENABLED 209 void bc_num_modexp(BcNum *a, BcNum *b, BcNum *c, BcNum *restrict d); 210 #endif // DC_ENABLED 211 212 void bc_num_one(BcNum *restrict n); 213 ssize_t bc_num_cmpZero(const BcNum *n); 214 215 void bc_num_parse(BcNum *restrict n, const char *restrict val, 216 BcBigDig base, bool letter); 217 void bc_num_print(BcNum *restrict n, BcBigDig base, bool newline); 218 #if DC_ENABLED 219 void bc_num_stream(BcNum *restrict n, BcBigDig base); 220 #endif // DC_ENABLED 221 222 #if BC_DEBUG_CODE 223 void bc_num_printDebug(const BcNum *n, const char *name, bool emptyline); 224 void bc_num_printDigs(const BcDig* n, size_t len, bool emptyline); 225 void bc_num_printWithDigs(const BcNum *n, const char *name, bool emptyline); 226 void bc_num_dump(const char *varname, const BcNum *n); 227 #endif // BC_DEBUG_CODE 228 229 extern const char bc_num_hex_digits[]; 230 extern const BcBigDig bc_num_pow10[BC_BASE_DIGS + 1]; 231 232 extern const BcDig bc_num_bigdigMax[]; 233 extern const size_t bc_num_bigdigMax_size; 234 235 #endif // BC_NUM_H 236