xf.li | bdd93d5 | 2023-05-12 07:10:14 -0700 | [diff] [blame^] | 1 | /* gmp.h -- Definitions for GNU multiple precision functions. |
| 2 | |
| 3 | Copyright (C) 1991-2016 Free Software Foundation, Inc. |
| 4 | |
| 5 | This file is part of the GNU MP Library. |
| 6 | |
| 7 | The GNU MP Library is free software; you can redistribute it and/or modify |
| 8 | it under the terms of the GNU Lesser General Public License as published by |
| 9 | the Free Software Foundation; either version 2.1 of the License, or (at your |
| 10 | option) any later version. |
| 11 | |
| 12 | The GNU MP Library is distributed in the hope that it will be useful, but |
| 13 | WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
| 14 | or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public |
| 15 | License for more details. |
| 16 | |
| 17 | You should have received a copy of the GNU Lesser General Public License |
| 18 | along with the GNU MP Library; see the file COPYING.LIB. If not, see |
| 19 | <http://www.gnu.org/licenses/>. */ |
| 20 | |
| 21 | #ifndef __GMP_H__ |
| 22 | |
| 23 | #include <features.h> |
| 24 | |
| 25 | #ifndef __GNU_MP__ |
| 26 | #define __GNU_MP__ 2 |
| 27 | #define __need_size_t |
| 28 | #include <stddef.h> |
| 29 | #undef __need_size_t |
| 30 | |
| 31 | #if defined (__STDC__) || defined (__cplusplus) |
| 32 | #define __gmp_const const |
| 33 | #else |
| 34 | #define __gmp_const |
| 35 | #endif |
| 36 | |
| 37 | #if defined (__GNUC__) |
| 38 | #define __gmp_inline __inline__ |
| 39 | #else |
| 40 | #define __gmp_inline |
| 41 | #endif |
| 42 | |
| 43 | #ifndef _EXTERN_INLINE |
| 44 | #ifdef __GNUC__ |
| 45 | #define _EXTERN_INLINE __extern_inline |
| 46 | #else |
| 47 | #define _EXTERN_INLINE static |
| 48 | #endif |
| 49 | #endif |
| 50 | |
| 51 | #ifdef _SHORT_LIMB |
| 52 | typedef unsigned int mp_limb_t; |
| 53 | typedef int mp_limb_signed_t; |
| 54 | #else |
| 55 | #ifdef _LONG_LONG_LIMB |
| 56 | typedef unsigned long long int mp_limb_t; |
| 57 | typedef long long int mp_limb_signed_t; |
| 58 | #else |
| 59 | typedef unsigned long int mp_limb_t; |
| 60 | typedef long int mp_limb_signed_t; |
| 61 | #endif |
| 62 | #endif |
| 63 | |
| 64 | typedef mp_limb_t * mp_ptr; |
| 65 | typedef __gmp_const mp_limb_t * mp_srcptr; |
| 66 | typedef long int mp_size_t; |
| 67 | typedef long int mp_exp_t; |
| 68 | |
| 69 | #ifndef __MP_SMALL__ |
| 70 | typedef struct |
| 71 | { |
| 72 | int _mp_alloc; /* Number of *limbs* allocated and pointed |
| 73 | to by the D field. */ |
| 74 | int _mp_size; /* abs(SIZE) is the number of limbs |
| 75 | the last field points to. If SIZE |
| 76 | is negative this is a negative |
| 77 | number. */ |
| 78 | mp_limb_t *_mp_d; /* Pointer to the limbs. */ |
| 79 | } __mpz_struct; |
| 80 | #else |
| 81 | typedef struct |
| 82 | { |
| 83 | short int _mp_alloc; /* Number of *limbs* allocated and pointed |
| 84 | to by the D field. */ |
| 85 | short int _mp_size; /* abs(SIZE) is the number of limbs |
| 86 | the last field points to. If SIZE |
| 87 | is negative this is a negative |
| 88 | number. */ |
| 89 | mp_limb_t *_mp_d; /* Pointer to the limbs. */ |
| 90 | } __mpz_struct; |
| 91 | #endif |
| 92 | #endif /* __GNU_MP__ */ |
| 93 | |
| 94 | /* User-visible types. */ |
| 95 | typedef __mpz_struct MP_INT; |
| 96 | typedef __mpz_struct mpz_t[1]; |
| 97 | |
| 98 | /* Structure for rational numbers. Zero is represented as 0/any, i.e. |
| 99 | the denominator is ignored. Negative numbers have the sign in |
| 100 | the numerator. */ |
| 101 | typedef struct |
| 102 | { |
| 103 | __mpz_struct _mp_num; |
| 104 | __mpz_struct _mp_den; |
| 105 | #if 0 |
| 106 | int _mp_num_alloc; /* Number of limbs allocated |
| 107 | for the numerator. */ |
| 108 | int _mp_num_size; /* The absolute value of this field is the |
| 109 | length of the numerator; the sign is the |
| 110 | sign of the entire rational number. */ |
| 111 | mp_ptr _mp_num; /* Pointer to the numerator limbs. */ |
| 112 | int _mp_den_alloc; /* Number of limbs allocated |
| 113 | for the denominator. */ |
| 114 | int _mp_den_size; /* Length of the denominator. (This field |
| 115 | should always be positive.) */ |
| 116 | mp_ptr _mp_den; /* Pointer to the denominator limbs. */ |
| 117 | #endif |
| 118 | } __mpq_struct; |
| 119 | |
| 120 | typedef __mpq_struct MP_RAT; |
| 121 | typedef __mpq_struct mpq_t[1]; |
| 122 | |
| 123 | typedef struct |
| 124 | { |
| 125 | int _mp_prec; /* Max precision, in number of `mp_limb_t's. |
| 126 | Set by mpf_init and modified by |
| 127 | mpf_set_prec. The area pointed to |
| 128 | by the `d' field contains `prec' + 1 |
| 129 | limbs. */ |
| 130 | int _mp_size; /* abs(SIZE) is the number of limbs |
| 131 | the last field points to. If SIZE |
| 132 | is negative this is a negative |
| 133 | number. */ |
| 134 | mp_exp_t _mp_exp; /* Exponent, in the base of `mp_limb_t'. */ |
| 135 | mp_limb_t *_mp_d; /* Pointer to the limbs. */ |
| 136 | } __mpf_struct; |
| 137 | |
| 138 | /* typedef __mpf_struct MP_FLOAT; */ |
| 139 | typedef __mpf_struct mpf_t[1]; |
| 140 | |
| 141 | /* Types for function declarations in gmp files. */ |
| 142 | /* ??? Should not pollute user name space with these ??? */ |
| 143 | typedef __gmp_const __mpz_struct *mpz_srcptr; |
| 144 | typedef __mpz_struct *mpz_ptr; |
| 145 | typedef __gmp_const __mpf_struct *mpf_srcptr; |
| 146 | typedef __mpf_struct *mpf_ptr; |
| 147 | typedef __gmp_const __mpq_struct *mpq_srcptr; |
| 148 | typedef __mpq_struct *mpq_ptr; |
| 149 | |
| 150 | #ifndef _PROTO |
| 151 | #if defined (__STDC__) || defined (__cplusplus) |
| 152 | #define _PROTO(x) x |
| 153 | #else |
| 154 | #define _PROTO(x) () |
| 155 | #endif |
| 156 | #endif |
| 157 | |
| 158 | #ifndef __MPN |
| 159 | #if defined (__STDC__) || defined (__cplusplus) |
| 160 | #define __MPN(x) __mpn_##x |
| 161 | #else |
| 162 | #define __MPN(x) __mpn_/**/x |
| 163 | #endif |
| 164 | #endif |
| 165 | |
| 166 | #if defined (FILE) || defined (_STDIO_H_) || defined (__STDIO_H__) || defined (H_STDIO) |
| 167 | #define _GMP_H_HAVE_FILE 1 |
| 168 | #endif |
| 169 | |
| 170 | void mp_set_memory_functions _PROTO ((void *(*) (size_t), |
| 171 | void *(*) (void *, size_t, size_t), |
| 172 | void (*) (void *, size_t))); |
| 173 | extern const int mp_bits_per_limb; |
| 174 | |
| 175 | /**************** Integer (i.e. Z) routines. ****************/ |
| 176 | |
| 177 | #if defined (__cplusplus) |
| 178 | extern "C" { |
| 179 | #endif |
| 180 | void *_mpz_realloc _PROTO ((mpz_ptr, mp_size_t)); |
| 181 | |
| 182 | void mpz_abs _PROTO ((mpz_ptr, mpz_srcptr)); |
| 183 | void mpz_add _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)); |
| 184 | void mpz_add_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); |
| 185 | void mpz_and _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)); |
| 186 | void mpz_array_init _PROTO ((mpz_ptr, mp_size_t, mp_size_t)); |
| 187 | void mpz_cdiv_q _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)); |
| 188 | unsigned long int mpz_cdiv_q_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); |
| 189 | void mpz_cdiv_qr _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr)); |
| 190 | unsigned long int mpz_cdiv_qr_ui _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int)); |
| 191 | void mpz_cdiv_r _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)); |
| 192 | unsigned long int mpz_cdiv_r_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); |
| 193 | unsigned long int mpz_cdiv_ui _PROTO ((mpz_srcptr, unsigned long int)); |
| 194 | void mpz_clear _PROTO ((mpz_ptr)); |
| 195 | void mpz_clrbit _PROTO ((mpz_ptr, unsigned long int)); |
| 196 | int mpz_cmp _PROTO ((mpz_srcptr, mpz_srcptr)); |
| 197 | int mpz_cmp_si _PROTO ((mpz_srcptr, signed long int)); |
| 198 | int mpz_cmp_ui _PROTO ((mpz_srcptr, unsigned long int)); |
| 199 | void mpz_com _PROTO ((mpz_ptr, mpz_srcptr)); |
| 200 | void mpz_divexact _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)); |
| 201 | void mpz_fac_ui _PROTO ((mpz_ptr, unsigned long int)); |
| 202 | void mpz_fdiv_q _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)); |
| 203 | void mpz_fdiv_q_2exp _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); |
| 204 | unsigned long int mpz_fdiv_q_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); |
| 205 | void mpz_fdiv_qr _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr)); |
| 206 | unsigned long int mpz_fdiv_qr_ui _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int)); |
| 207 | void mpz_fdiv_r _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)); |
| 208 | void mpz_fdiv_r_2exp _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); |
| 209 | unsigned long int mpz_fdiv_r_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); |
| 210 | unsigned long int mpz_fdiv_ui _PROTO ((mpz_srcptr, unsigned long int)); |
| 211 | void mpz_gcd _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)); |
| 212 | unsigned long int mpz_gcd_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); |
| 213 | void mpz_gcdext _PROTO ((mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr)); |
| 214 | /* signed */ long int mpz_get_si _PROTO ((mpz_srcptr)); |
| 215 | char *mpz_get_str _PROTO ((char *, int, mpz_srcptr)); |
| 216 | unsigned long int mpz_get_ui _PROTO ((mpz_srcptr)); |
| 217 | mp_limb_t mpz_getlimbn _PROTO ((mpz_srcptr, mp_size_t)); |
| 218 | unsigned long int mpz_hamdist _PROTO ((mpz_srcptr, mpz_srcptr)); |
| 219 | void mpz_init _PROTO ((mpz_ptr)); |
| 220 | #ifdef _GMP_H_HAVE_FILE |
| 221 | size_t mpz_inp_binary _PROTO ((mpz_ptr, FILE *)); |
| 222 | size_t mpz_inp_raw _PROTO ((mpz_ptr, FILE *)); |
| 223 | size_t mpz_inp_str _PROTO ((mpz_ptr, FILE *, int)); |
| 224 | #endif |
| 225 | void mpz_init_set _PROTO ((mpz_ptr, mpz_srcptr)); |
| 226 | void mpz_init_set_d _PROTO ((mpz_ptr, double)); |
| 227 | void mpz_init_set_si _PROTO ((mpz_ptr, signed long int)); |
| 228 | int mpz_init_set_str _PROTO ((mpz_ptr, const char *, int)); |
| 229 | void mpz_init_set_ui _PROTO ((mpz_ptr, unsigned long int)); |
| 230 | int mpz_invert _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)); |
| 231 | void mpz_ior _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)); |
| 232 | int mpz_jacobi _PROTO ((mpz_srcptr, mpz_srcptr)); |
| 233 | int mpz_legendre _PROTO ((mpz_srcptr, mpz_srcptr)); |
| 234 | void mpz_mod _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)); |
| 235 | void mpz_mul _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)); |
| 236 | void mpz_mul_2exp _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); |
| 237 | void mpz_mul_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); |
| 238 | void mpz_neg _PROTO ((mpz_ptr, mpz_srcptr)); |
| 239 | #ifdef _GMP_H_HAVE_FILE |
| 240 | size_t mpz_out_binary _PROTO ((FILE *, mpz_srcptr)); |
| 241 | size_t mpz_out_raw _PROTO ((FILE *, mpz_srcptr)); |
| 242 | size_t mpz_out_str _PROTO ((FILE *, int, mpz_srcptr)); |
| 243 | #endif |
| 244 | int mpz_perfect_square_p _PROTO ((mpz_srcptr)); |
| 245 | unsigned long int mpz_popcount _PROTO ((mpz_srcptr)); |
| 246 | void mpz_pow_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); |
| 247 | void mpz_powm _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr)); |
| 248 | void mpz_powm_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr)); |
| 249 | int mpz_probab_prime_p _PROTO ((mpz_srcptr, int)); |
| 250 | void mpz_random _PROTO ((mpz_ptr, mp_size_t)); |
| 251 | void mpz_random2 _PROTO ((mpz_ptr, mp_size_t)); |
| 252 | unsigned long int mpz_scan0 _PROTO ((mpz_srcptr, unsigned long int)); |
| 253 | unsigned long int mpz_scan1 _PROTO ((mpz_srcptr, unsigned long int)); |
| 254 | void mpz_set _PROTO ((mpz_ptr, mpz_srcptr)); |
| 255 | void mpz_set_d _PROTO ((mpz_ptr, double)); |
| 256 | void mpz_set_si _PROTO ((mpz_ptr, signed long int)); |
| 257 | int mpz_set_str _PROTO ((mpz_ptr, const char *, int)); |
| 258 | void mpz_set_ui _PROTO ((mpz_ptr, unsigned long int)); |
| 259 | void mpz_setbit _PROTO ((mpz_ptr, unsigned long int)); |
| 260 | size_t mpz_size _PROTO ((mpz_srcptr)); |
| 261 | size_t mpz_sizeinbase _PROTO ((mpz_srcptr, int)); |
| 262 | void mpz_sqrt _PROTO ((mpz_ptr, mpz_srcptr)); |
| 263 | void mpz_sqrtrem _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr)); |
| 264 | void mpz_sub _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)); |
| 265 | void mpz_sub_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); |
| 266 | void mpz_tdiv_q _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)); |
| 267 | void mpz_tdiv_q_2exp _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); |
| 268 | void mpz_tdiv_q_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); |
| 269 | void mpz_tdiv_qr _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr)); |
| 270 | void mpz_tdiv_qr_ui _PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int)); |
| 271 | void mpz_tdiv_r _PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)); |
| 272 | void mpz_tdiv_r_2exp _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); |
| 273 | void mpz_tdiv_r_ui _PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); |
| 274 | void mpz_ui_pow_ui _PROTO ((mpz_ptr, unsigned long int, unsigned long int)); |
| 275 | |
| 276 | /**************** Rational (i.e. Q) routines. ****************/ |
| 277 | |
| 278 | void mpq_init _PROTO ((mpq_ptr)); |
| 279 | void mpq_clear _PROTO ((mpq_ptr)); |
| 280 | void mpq_set _PROTO ((mpq_ptr, mpq_srcptr)); |
| 281 | void mpq_set_ui _PROTO ((mpq_ptr, unsigned long int, unsigned long int)); |
| 282 | void mpq_set_si _PROTO ((mpq_ptr, signed long int, unsigned long int)); |
| 283 | void mpq_add _PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr)); |
| 284 | void mpq_sub _PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr)); |
| 285 | void mpq_mul _PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr)); |
| 286 | void mpq_div _PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr)); |
| 287 | void mpq_neg _PROTO ((mpq_ptr, mpq_srcptr)); |
| 288 | int mpq_cmp _PROTO ((mpq_srcptr, mpq_srcptr)); |
| 289 | int mpq_cmp_ui _PROTO ((mpq_srcptr, unsigned long int, unsigned long int)); |
| 290 | void mpq_inv _PROTO ((mpq_ptr, mpq_srcptr)); |
| 291 | void mpq_set_num _PROTO ((mpq_ptr, mpz_srcptr)); |
| 292 | void mpq_set_den _PROTO ((mpq_ptr, mpz_srcptr)); |
| 293 | void mpq_get_num _PROTO ((mpz_ptr, mpq_srcptr)); |
| 294 | void mpq_get_den _PROTO ((mpz_ptr, mpq_srcptr)); |
| 295 | double mpq_get_d _PROTO ((mpq_srcptr)); |
| 296 | void mpq_canonicalize _PROTO ((mpq_ptr)); |
| 297 | |
| 298 | /**************** Float (i.e. F) routines. ****************/ |
| 299 | |
| 300 | void mpf_abs _PROTO ((mpf_ptr, mpf_srcptr)); |
| 301 | void mpf_add _PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr)); |
| 302 | void mpf_add_ui _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int)); |
| 303 | void mpf_clear _PROTO ((mpf_ptr)); |
| 304 | int mpf_cmp _PROTO ((mpf_srcptr, mpf_srcptr)); |
| 305 | int mpf_cmp_si _PROTO ((mpf_srcptr, signed long int)); |
| 306 | int mpf_cmp_ui _PROTO ((mpf_srcptr, unsigned long int)); |
| 307 | void mpf_div _PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr)); |
| 308 | void mpf_div_2exp _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int)); |
| 309 | void mpf_div_ui _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int)); |
| 310 | void mpf_dump _PROTO ((mpf_srcptr)); |
| 311 | int mpf_eq _PROTO ((mpf_srcptr, mpf_srcptr, unsigned long int)); |
| 312 | unsigned long int mpf_get_prec _PROTO ((mpf_srcptr)); |
| 313 | char *mpf_get_str _PROTO ((char *, mp_exp_t *, int, size_t, mpf_srcptr)); |
| 314 | void mpf_init _PROTO ((mpf_ptr)); |
| 315 | void mpf_init2 _PROTO ((mpf_ptr, unsigned long int)); |
| 316 | #ifdef _GMP_H_HAVE_FILE |
| 317 | size_t mpf_inp_str _PROTO ((mpf_ptr, FILE *, int)); |
| 318 | #endif |
| 319 | void mpf_init_set _PROTO ((mpf_ptr, mpf_srcptr)); |
| 320 | void mpf_init_set_d _PROTO ((mpf_ptr, double)); |
| 321 | void mpf_init_set_si _PROTO ((mpf_ptr, signed long int)); |
| 322 | int mpf_init_set_str _PROTO ((mpf_ptr, char *, int)); |
| 323 | void mpf_init_set_ui _PROTO ((mpf_ptr, unsigned long int)); |
| 324 | void mpf_mul _PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr)); |
| 325 | void mpf_mul_2exp _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int)); |
| 326 | void mpf_mul_ui _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int)); |
| 327 | void mpf_neg _PROTO ((mpf_ptr, mpf_srcptr)); |
| 328 | #ifdef _GMP_H_HAVE_FILE |
| 329 | size_t mpf_out_str _PROTO ((FILE *, int, size_t, mpf_srcptr)); |
| 330 | #endif |
| 331 | void mpf_random2 _PROTO ((mpf_ptr, mp_size_t, mp_exp_t)); |
| 332 | void mpf_reldiff _PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr)); |
| 333 | void mpf_set _PROTO ((mpf_ptr, mpf_srcptr)); |
| 334 | void mpf_set_d _PROTO ((mpf_ptr, double)); |
| 335 | void mpf_set_default_prec _PROTO ((unsigned long int)); |
| 336 | void mpf_set_prec _PROTO ((mpf_ptr, unsigned long int)); |
| 337 | void mpf_set_prec_raw _PROTO ((mpf_ptr, unsigned long int)); |
| 338 | void mpf_set_si _PROTO ((mpf_ptr, signed long int)); |
| 339 | int mpf_set_str _PROTO ((mpf_ptr, const char *, int)); |
| 340 | void mpf_set_ui _PROTO ((mpf_ptr, unsigned long int)); |
| 341 | size_t mpf_size _PROTO ((mpf_srcptr)); |
| 342 | void mpf_sqrt _PROTO ((mpf_ptr, mpf_srcptr)); |
| 343 | void mpf_sqrt_ui _PROTO ((mpf_ptr, unsigned long int)); |
| 344 | void mpf_sub _PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr)); |
| 345 | void mpf_sub_ui _PROTO ((mpf_ptr, mpf_srcptr, unsigned long int)); |
| 346 | void mpf_ui_div _PROTO ((mpf_ptr, unsigned long int, mpf_srcptr)); |
| 347 | void mpf_ui_sub _PROTO ((mpf_ptr, unsigned long int, mpf_srcptr)); |
| 348 | #if defined (__cplusplus) |
| 349 | } |
| 350 | #endif |
| 351 | /************ Low level positive-integer (i.e. N) routines. ************/ |
| 352 | |
| 353 | /* This is ugly, but we need to make usr calls reach the prefixed function. */ |
| 354 | #define mpn_add __MPN(add) |
| 355 | #define mpn_add_1 __MPN(add_1) |
| 356 | #define mpn_add_n __MPN(add_n) |
| 357 | #define mpn_addmul_1 __MPN(addmul_1) |
| 358 | #define mpn_bdivmod __MPN(bdivmod) |
| 359 | #define mpn_cmp __MPN(cmp) |
| 360 | #define mpn_divmod_1 __MPN(divmod_1) |
| 361 | #define mpn_divrem __MPN(divrem) |
| 362 | #define mpn_divrem_1 __MPN(divrem_1) |
| 363 | #define mpn_dump __MPN(dump) |
| 364 | #define mpn_gcd __MPN(gcd) |
| 365 | #define mpn_gcd_1 __MPN(gcd_1) |
| 366 | #define mpn_gcdext __MPN(gcdext) |
| 367 | #define mpn_get_str __MPN(get_str) |
| 368 | #define mpn_hamdist __MPN(hamdist) |
| 369 | #define mpn_lshift __MPN(lshift) |
| 370 | #define mpn_mod_1 __MPN(mod_1) |
| 371 | #define mpn_mul __MPN(mul) |
| 372 | #define mpn_mul_1 __MPN(mul_1) |
| 373 | #define mpn_mul_n __MPN(mul_n) |
| 374 | #define mpn_perfect_square_p __MPN(perfect_square_p) |
| 375 | #define mpn_popcount __MPN(popcount) |
| 376 | #define mpn_preinv_mod_1 __MPN(preinv_mod_1) |
| 377 | #define mpn_random2 __MPN(random2) |
| 378 | #define mpn_rshift __MPN(rshift) |
| 379 | #define mpn_scan0 __MPN(scan0) |
| 380 | #define mpn_scan1 __MPN(scan1) |
| 381 | #define mpn_set_str __MPN(set_str) |
| 382 | #define mpn_sqrtrem __MPN(sqrtrem) |
| 383 | #define mpn_sub __MPN(sub) |
| 384 | #define mpn_sub_1 __MPN(sub_1) |
| 385 | #define mpn_sub_n __MPN(sub_n) |
| 386 | #define mpn_submul_1 __MPN(submul_1) |
| 387 | #define mpn_udiv_w_sdiv __MPN(udiv_w_sdiv) |
| 388 | |
| 389 | #if defined (__cplusplus) |
| 390 | extern "C" { |
| 391 | #endif |
| 392 | mp_limb_t mpn_add _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr,mp_size_t)); |
| 393 | mp_limb_t mpn_add_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)); |
| 394 | mp_limb_t mpn_add_n _PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)); |
| 395 | mp_limb_t mpn_addmul_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)); |
| 396 | mp_limb_t mpn_bdivmod _PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, unsigned long int)); |
| 397 | int mpn_cmp _PROTO ((mp_srcptr, mp_srcptr, mp_size_t)); |
| 398 | mp_limb_t mpn_divmod_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)); |
| 399 | mp_limb_t mpn_divrem _PROTO ((mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t)); |
| 400 | mp_limb_t mpn_divrem_1 _PROTO ((mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t)); |
| 401 | void mpn_dump _PROTO ((mp_srcptr, mp_size_t)); |
| 402 | mp_size_t mpn_gcd _PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t)); |
| 403 | mp_limb_t mpn_gcd_1 _PROTO ((mp_srcptr, mp_size_t, mp_limb_t)); |
| 404 | mp_size_t mpn_gcdext _PROTO ((mp_ptr, mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t)); |
| 405 | size_t mpn_get_str _PROTO ((unsigned char *, int, mp_ptr, mp_size_t)); |
| 406 | unsigned long int mpn_hamdist _PROTO ((mp_srcptr, mp_srcptr, mp_size_t)); |
| 407 | mp_limb_t mpn_lshift _PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int)); |
| 408 | mp_limb_t mpn_mod_1 _PROTO ((mp_srcptr, mp_size_t, mp_limb_t)); |
| 409 | mp_limb_t mpn_mul _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t)); |
| 410 | mp_limb_t mpn_mul_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)); |
| 411 | void mpn_mul_n _PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)); |
| 412 | int mpn_perfect_square_p _PROTO ((mp_srcptr, mp_size_t)); |
| 413 | unsigned long int mpn_popcount _PROTO ((mp_srcptr, mp_size_t)); |
| 414 | mp_limb_t mpn_preinv_mod_1 _PROTO ((mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t)); |
| 415 | void mpn_random2 _PROTO ((mp_ptr, mp_size_t)); |
| 416 | mp_limb_t mpn_rshift _PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int)); |
| 417 | unsigned long int mpn_scan0 _PROTO ((mp_srcptr, unsigned long int)); |
| 418 | unsigned long int mpn_scan1 _PROTO ((mp_srcptr, unsigned long int)); |
| 419 | mp_size_t mpn_set_str _PROTO ((mp_ptr, const unsigned char *, size_t, int)); |
| 420 | mp_size_t mpn_sqrtrem _PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_size_t)); |
| 421 | mp_limb_t mpn_sub _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr,mp_size_t)); |
| 422 | mp_limb_t mpn_sub_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)); |
| 423 | mp_limb_t mpn_sub_n _PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)); |
| 424 | mp_limb_t mpn_submul_1 _PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)); |
| 425 | #if defined (__cplusplus) |
| 426 | } |
| 427 | #endif |
| 428 | |
| 429 | #if defined (__GNUC__) || defined (_FORCE_INLINES) |
| 430 | _EXTERN_INLINE mp_limb_t |
| 431 | #if defined (__STDC__) || defined (__cplusplus) |
| 432 | mpn_add_1 (register mp_ptr res_ptr, |
| 433 | register mp_srcptr s1_ptr, |
| 434 | register mp_size_t s1_size, |
| 435 | register mp_limb_t s2_limb) |
| 436 | #else |
| 437 | mpn_add_1 (res_ptr, s1_ptr, s1_size, s2_limb) |
| 438 | register mp_ptr res_ptr; |
| 439 | register mp_srcptr s1_ptr; |
| 440 | register mp_size_t s1_size; |
| 441 | register mp_limb_t s2_limb; |
| 442 | #endif |
| 443 | { |
| 444 | register mp_limb_t x; |
| 445 | |
| 446 | x = *s1_ptr++; |
| 447 | s2_limb = x + s2_limb; |
| 448 | *res_ptr++ = s2_limb; |
| 449 | if (s2_limb < x) |
| 450 | { |
| 451 | while (--s1_size != 0) |
| 452 | { |
| 453 | x = *s1_ptr++ + 1; |
| 454 | *res_ptr++ = x; |
| 455 | if (x != 0) |
| 456 | goto fin; |
| 457 | } |
| 458 | |
| 459 | return 1; |
| 460 | } |
| 461 | |
| 462 | fin: |
| 463 | if (res_ptr != s1_ptr) |
| 464 | { |
| 465 | mp_size_t i; |
| 466 | for (i = 0; i < s1_size - 1; i++) |
| 467 | res_ptr[i] = s1_ptr[i]; |
| 468 | } |
| 469 | return 0; |
| 470 | } |
| 471 | |
| 472 | _EXTERN_INLINE mp_limb_t |
| 473 | #if defined (__STDC__) || defined (__cplusplus) |
| 474 | mpn_add (register mp_ptr res_ptr, |
| 475 | register mp_srcptr s1_ptr, |
| 476 | register mp_size_t s1_size, |
| 477 | register mp_srcptr s2_ptr, |
| 478 | register mp_size_t s2_size) |
| 479 | #else |
| 480 | mpn_add (res_ptr, s1_ptr, s1_size, s2_ptr, s2_size) |
| 481 | register mp_ptr res_ptr; |
| 482 | register mp_srcptr s1_ptr; |
| 483 | register mp_size_t s1_size; |
| 484 | register mp_srcptr s2_ptr; |
| 485 | register mp_size_t s2_size; |
| 486 | #endif |
| 487 | { |
| 488 | mp_limb_t cy_limb = 0; |
| 489 | |
| 490 | if (s2_size != 0) |
| 491 | cy_limb = mpn_add_n (res_ptr, s1_ptr, s2_ptr, s2_size); |
| 492 | |
| 493 | if (s1_size - s2_size != 0) |
| 494 | cy_limb = mpn_add_1 (res_ptr + s2_size, |
| 495 | s1_ptr + s2_size, |
| 496 | s1_size - s2_size, |
| 497 | cy_limb); |
| 498 | return cy_limb; |
| 499 | } |
| 500 | |
| 501 | _EXTERN_INLINE mp_limb_t |
| 502 | #if defined (__STDC__) || defined (__cplusplus) |
| 503 | mpn_sub_1 (register mp_ptr res_ptr, |
| 504 | register mp_srcptr s1_ptr, |
| 505 | register mp_size_t s1_size, |
| 506 | register mp_limb_t s2_limb) |
| 507 | #else |
| 508 | mpn_sub_1 (res_ptr, s1_ptr, s1_size, s2_limb) |
| 509 | register mp_ptr res_ptr; |
| 510 | register mp_srcptr s1_ptr; |
| 511 | register mp_size_t s1_size; |
| 512 | register mp_limb_t s2_limb; |
| 513 | #endif |
| 514 | { |
| 515 | register mp_limb_t x; |
| 516 | |
| 517 | x = *s1_ptr++; |
| 518 | s2_limb = x - s2_limb; |
| 519 | *res_ptr++ = s2_limb; |
| 520 | if (s2_limb > x) |
| 521 | { |
| 522 | while (--s1_size != 0) |
| 523 | { |
| 524 | x = *s1_ptr++; |
| 525 | *res_ptr++ = x - 1; |
| 526 | if (x != 0) |
| 527 | goto fin; |
| 528 | } |
| 529 | |
| 530 | return 1; |
| 531 | } |
| 532 | |
| 533 | fin: |
| 534 | if (res_ptr != s1_ptr) |
| 535 | { |
| 536 | mp_size_t i; |
| 537 | for (i = 0; i < s1_size - 1; i++) |
| 538 | res_ptr[i] = s1_ptr[i]; |
| 539 | } |
| 540 | return 0; |
| 541 | } |
| 542 | |
| 543 | _EXTERN_INLINE mp_limb_t |
| 544 | #if defined (__STDC__) || defined (__cplusplus) |
| 545 | mpn_sub (register mp_ptr res_ptr, |
| 546 | register mp_srcptr s1_ptr, |
| 547 | register mp_size_t s1_size, |
| 548 | register mp_srcptr s2_ptr, |
| 549 | register mp_size_t s2_size) |
| 550 | #else |
| 551 | mpn_sub (res_ptr, s1_ptr, s1_size, s2_ptr, s2_size) |
| 552 | register mp_ptr res_ptr; |
| 553 | register mp_srcptr s1_ptr; |
| 554 | register mp_size_t s1_size; |
| 555 | register mp_srcptr s2_ptr; |
| 556 | register mp_size_t s2_size; |
| 557 | #endif |
| 558 | { |
| 559 | mp_limb_t cy_limb = 0; |
| 560 | |
| 561 | if (s2_size != 0) |
| 562 | cy_limb = mpn_sub_n (res_ptr, s1_ptr, s2_ptr, s2_size); |
| 563 | |
| 564 | if (s1_size - s2_size != 0) |
| 565 | cy_limb = mpn_sub_1 (res_ptr + s2_size, |
| 566 | s1_ptr + s2_size, |
| 567 | s1_size - s2_size, |
| 568 | cy_limb); |
| 569 | return cy_limb; |
| 570 | } |
| 571 | #endif /* __GNUC__ */ |
| 572 | |
| 573 | /* Allow faster testing for negative, zero, and positive. */ |
| 574 | #define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0) |
| 575 | #define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0) |
| 576 | #define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0) |
| 577 | |
| 578 | /* Allow direct user access to numerator and denominator of a mpq_t object. */ |
| 579 | #define mpq_numref(Q) (&((Q)->_mp_num)) |
| 580 | #define mpq_denref(Q) (&((Q)->_mp_den)) |
| 581 | |
| 582 | /* When using GCC, optimize certain common comparisons. */ |
| 583 | #if defined (__GNUC__) |
| 584 | #define mpz_cmp_ui(Z,UI) \ |
| 585 | (__builtin_constant_p (UI) && (UI) == 0 \ |
| 586 | ? mpz_sgn (Z) : mpz_cmp_ui (Z,UI)) |
| 587 | #define mpz_cmp_si(Z,UI) \ |
| 588 | (__builtin_constant_p (UI) && (UI) == 0 ? mpz_sgn (Z) \ |
| 589 | : __builtin_constant_p (UI) && (UI) > 0 ? mpz_cmp_ui (Z,UI) \ |
| 590 | : mpz_cmp_si (Z,UI)) |
| 591 | #define mpq_cmp_ui(Q,NUI,DUI) \ |
| 592 | (__builtin_constant_p (NUI) && (NUI) == 0 \ |
| 593 | ? mpq_sgn (Q) : mpq_cmp_ui (Q,NUI,DUI)) |
| 594 | #endif |
| 595 | |
| 596 | #define mpn_divmod(qp,np,nsize,dp,dsize) mpn_divrem (qp,0,np,nsize,dp,dsize) |
| 597 | #if 0 |
| 598 | #define mpn_divmod_1(qp,np,nsize,dlimb) mpn_divrem_1 (qp,0,np,nsize,dlimb) |
| 599 | #endif |
| 600 | |
| 601 | /* Compatibility with GMP 1. */ |
| 602 | #define mpz_mdiv mpz_fdiv_q |
| 603 | #define mpz_mdivmod mpz_fdiv_qr |
| 604 | #define mpz_mmod mpz_fdiv_r |
| 605 | #define mpz_mdiv_ui mpz_fdiv_q_ui |
| 606 | #define mpz_mdivmod_ui(q,r,n,d) \ |
| 607 | ((r == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d)) |
| 608 | #define mpz_mmod_ui(r,n,d) \ |
| 609 | ((r == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d)) |
| 610 | |
| 611 | /* Useful synonyms, but not quite compatible with GMP 1. */ |
| 612 | #define mpz_div mpz_fdiv_q |
| 613 | #define mpz_divmod mpz_fdiv_qr |
| 614 | #define mpz_div_ui mpz_fdiv_q_ui |
| 615 | #define mpz_divmod_ui mpz_fdiv_qr_ui |
| 616 | #define mpz_mod_ui mpz_fdiv_r_ui |
| 617 | #define mpz_div_2exp mpz_fdiv_q_2exp |
| 618 | #define mpz_mod_2exp mpz_fdiv_r_2exp |
| 619 | |
| 620 | #define __GNU_MP_VERSION 2 |
| 621 | #define __GNU_MP_VERSION_MINOR 0 |
| 622 | #define __GMP_H__ |
| 623 | #endif /* __GMP_H__ */ |