1 /* mpc.h -- Include file for mpc. 2 3 Copyright (C) 2002, 2003, 2004, 2005, 2007, 2008, 2009, 2010, 2011, 2012 INRIA 4 5 This file is part of GNU MPC. 6 7 GNU MPC is free software; you can redistribute it and/or modify it under 8 the terms of the GNU Lesser General Public License as published by the 9 Free Software Foundation; either version 3 of the License, or (at your 10 option) any later version. 11 12 GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY 13 WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS 14 FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for 15 more details. 16 17 You should have received a copy of the GNU Lesser General Public License 18 along with this program. If not, see http://www.gnu.org/licenses/ . 19 */ 20 21 #ifndef __MPC_H 22 #define __MPC_H 23 24 #include "gmp.h" 25 #include "mpfr.h" 26 27 /* Backwards compatibility with mpfr<3.0.0 */ 28 #ifndef mpfr_exp_t 29 #define mpfr_exp_t mp_exp_t 30 #endif 31 32 /* Define MPC version number */ 33 #define MPC_VERSION_MAJOR 1 34 #define MPC_VERSION_MINOR 0 35 #define MPC_VERSION_PATCHLEVEL 1 36 #define MPC_VERSION_STRING "1.0.1" 37 38 /* Macros dealing with MPC VERSION */ 39 #define MPC_VERSION_NUM(a,b,c) (((a) << 16L) | ((b) << 8) | (c)) 40 #define MPC_VERSION \ 41 MPC_VERSION_NUM(MPC_VERSION_MAJOR,MPC_VERSION_MINOR,MPC_VERSION_PATCHLEVEL) 42 43 /* Check if stdint.h/inttypes.h is included */ 44 #if defined (INTMAX_C) && defined (UINTMAX_C) 45 #define _MPC_H_HAVE_INTMAX_T 1 46 #endif 47 48 /* Return values */ 49 50 /* Transform negative to 2, positive to 1, leave 0 unchanged */ 51 #define MPC_INEX_POS(inex) (((inex) < 0) ? 2 : ((inex) == 0) ? 0 : 1) 52 /* Transform 2 to negative, 1 to positive, leave 0 unchanged */ 53 #define MPC_INEX_NEG(inex) (((inex) == 2) ? -1 : ((inex) == 0) ? 0 : 1) 54 55 /* The global inexact flag is made of (real flag) + 4 * (imaginary flag), where 56 each of the real and imaginary inexact flag are: 57 0 when the result is exact (no rounding error) 58 1 when the result is larger than the exact value 59 2 when the result is smaller than the exact value */ 60 #define MPC_INEX(inex_re, inex_im) \ 61 (MPC_INEX_POS(inex_re) | (MPC_INEX_POS(inex_im) << 2)) 62 #define MPC_INEX_RE(inex) MPC_INEX_NEG((inex) & 3) 63 #define MPC_INEX_IM(inex) MPC_INEX_NEG((inex) >> 2) 64 65 /* For functions computing two results, the return value is 66 inexact1+16*inexact2, which is 0 iif both results are exact. */ 67 #define MPC_INEX12(inex1, inex2) (inex1 | (inex2 << 4)) 68 #define MPC_INEX1(inex) (inex & 15) 69 #define MPC_INEX2(inex) (inex >> 4) 70 71 /* Definition of rounding modes */ 72 73 /* a complex rounding mode is just a pair of two real rounding modes 74 we reserve four bits for a real rounding mode. */ 75 typedef int mpc_rnd_t; 76 77 #define MPC_RND(r1,r2) (((int)(r1)) + ((int)(r2) << 4)) 78 #define MPC_RND_RE(x) ((mpfr_rnd_t)((x) & 0x0F)) 79 #define MPC_RND_IM(x) ((mpfr_rnd_t)((x) >> 4)) 80 81 #define MPC_RNDNN MPC_RND (GMP_RNDN,GMP_RNDN) 82 #define MPC_RNDNZ MPC_RND (GMP_RNDN,GMP_RNDZ) 83 #define MPC_RNDNU MPC_RND (GMP_RNDN,GMP_RNDU) 84 #define MPC_RNDND MPC_RND (GMP_RNDN,GMP_RNDD) 85 86 #define MPC_RNDZN MPC_RND (GMP_RNDZ,GMP_RNDN) 87 #define MPC_RNDZZ MPC_RND (GMP_RNDZ,GMP_RNDZ) 88 #define MPC_RNDZU MPC_RND (GMP_RNDZ,GMP_RNDU) 89 #define MPC_RNDZD MPC_RND (GMP_RNDZ,GMP_RNDD) 90 91 #define MPC_RNDUN MPC_RND (GMP_RNDU,GMP_RNDN) 92 #define MPC_RNDUZ MPC_RND (GMP_RNDU,GMP_RNDZ) 93 #define MPC_RNDUU MPC_RND (GMP_RNDU,GMP_RNDU) 94 #define MPC_RNDUD MPC_RND (GMP_RNDU,GMP_RNDD) 95 96 #define MPC_RNDDN MPC_RND (GMP_RNDD,GMP_RNDN) 97 #define MPC_RNDDZ MPC_RND (GMP_RNDD,GMP_RNDZ) 98 #define MPC_RNDDU MPC_RND (GMP_RNDD,GMP_RNDU) 99 #define MPC_RNDDD MPC_RND (GMP_RNDD,GMP_RNDD) 100 101 102 /* Definitions of types and their semantics */ 103 104 typedef struct { 105 mpfr_t re; 106 mpfr_t im; 107 } 108 __mpc_struct; 109 110 typedef __mpc_struct mpc_t[1]; 111 typedef __mpc_struct *mpc_ptr; 112 typedef const __mpc_struct *mpc_srcptr; 113 114 /* Support for WINDOWS DLL, see 115 http://lists.gforge.inria.fr/pipermail/mpc-discuss/2011-November/000990.html; 116 when building the DLL, export symbols, otherwise behave as GMP */ 117 #if defined (__MPC_LIBRARY_BUILD) && __GMP_LIBGMP_DLL 118 #define __MPC_DECLSPEC __GMP_DECLSPEC_EXPORT 119 #else 120 #define __MPC_DECLSPEC __GMP_DECLSPEC 121 #endif 122 123 #if defined (__cplusplus) 124 extern "C" { 125 #endif 126 127 __MPC_DECLSPEC int mpc_add (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); 128 __MPC_DECLSPEC int mpc_add_fr (mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t); 129 __MPC_DECLSPEC int mpc_add_si (mpc_ptr, mpc_srcptr, long int, mpc_rnd_t); 130 __MPC_DECLSPEC int mpc_add_ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t); 131 __MPC_DECLSPEC int mpc_sub (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); 132 __MPC_DECLSPEC int mpc_sub_fr (mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t); 133 __MPC_DECLSPEC int mpc_fr_sub (mpc_ptr, mpfr_srcptr, mpc_srcptr, mpc_rnd_t); 134 __MPC_DECLSPEC int mpc_sub_ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t); 135 __MPC_DECLSPEC int mpc_ui_ui_sub (mpc_ptr, unsigned long int, unsigned long int, mpc_srcptr, mpc_rnd_t); 136 __MPC_DECLSPEC int mpc_mul (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); 137 __MPC_DECLSPEC int mpc_mul_fr (mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t); 138 __MPC_DECLSPEC int mpc_mul_ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t); 139 __MPC_DECLSPEC int mpc_mul_si (mpc_ptr, mpc_srcptr, long int, mpc_rnd_t); 140 __MPC_DECLSPEC int mpc_mul_i (mpc_ptr, mpc_srcptr, int, mpc_rnd_t); 141 __MPC_DECLSPEC int mpc_sqr (mpc_ptr, mpc_srcptr, mpc_rnd_t); 142 __MPC_DECLSPEC int mpc_div (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); 143 __MPC_DECLSPEC int mpc_pow (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); 144 __MPC_DECLSPEC int mpc_pow_fr (mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t); 145 __MPC_DECLSPEC int mpc_pow_ld (mpc_ptr, mpc_srcptr, long double, mpc_rnd_t); 146 __MPC_DECLSPEC int mpc_pow_d (mpc_ptr, mpc_srcptr, double, mpc_rnd_t); 147 __MPC_DECLSPEC int mpc_pow_si (mpc_ptr, mpc_srcptr, long, mpc_rnd_t); 148 __MPC_DECLSPEC int mpc_pow_ui (mpc_ptr, mpc_srcptr, unsigned long, mpc_rnd_t); 149 __MPC_DECLSPEC int mpc_pow_z (mpc_ptr, mpc_srcptr, mpz_srcptr, mpc_rnd_t); 150 __MPC_DECLSPEC int mpc_div_fr (mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t); 151 __MPC_DECLSPEC int mpc_fr_div (mpc_ptr, mpfr_srcptr, mpc_srcptr, mpc_rnd_t); 152 __MPC_DECLSPEC int mpc_div_ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t); 153 __MPC_DECLSPEC int mpc_ui_div (mpc_ptr, unsigned long int, mpc_srcptr, mpc_rnd_t); 154 __MPC_DECLSPEC int mpc_div_2ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t); 155 __MPC_DECLSPEC int mpc_mul_2ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t); 156 __MPC_DECLSPEC int mpc_div_2si (mpc_ptr, mpc_srcptr, long int, mpc_rnd_t); 157 __MPC_DECLSPEC int mpc_mul_2si (mpc_ptr, mpc_srcptr, long int, mpc_rnd_t); 158 __MPC_DECLSPEC int mpc_conj (mpc_ptr, mpc_srcptr, mpc_rnd_t); 159 __MPC_DECLSPEC int mpc_neg (mpc_ptr, mpc_srcptr, mpc_rnd_t); 160 __MPC_DECLSPEC int mpc_norm (mpfr_ptr, mpc_srcptr, mpfr_rnd_t); 161 __MPC_DECLSPEC int mpc_abs (mpfr_ptr, mpc_srcptr, mpfr_rnd_t); 162 __MPC_DECLSPEC int mpc_sqrt (mpc_ptr, mpc_srcptr, mpc_rnd_t); 163 __MPC_DECLSPEC int mpc_set (mpc_ptr, mpc_srcptr, mpc_rnd_t); 164 __MPC_DECLSPEC int mpc_set_d (mpc_ptr, double, mpc_rnd_t); 165 __MPC_DECLSPEC int mpc_set_d_d (mpc_ptr, double, double, mpc_rnd_t); 166 __MPC_DECLSPEC int mpc_set_ld (mpc_ptr, long double, mpc_rnd_t); 167 __MPC_DECLSPEC int mpc_set_ld_ld (mpc_ptr, long double, long double, mpc_rnd_t); 168 __MPC_DECLSPEC int mpc_set_f (mpc_ptr, mpf_srcptr, mpc_rnd_t); 169 __MPC_DECLSPEC int mpc_set_f_f (mpc_ptr, mpf_srcptr, mpf_srcptr, mpc_rnd_t); 170 __MPC_DECLSPEC int mpc_set_fr (mpc_ptr, mpfr_srcptr, mpc_rnd_t); 171 __MPC_DECLSPEC int mpc_set_fr_fr (mpc_ptr, mpfr_srcptr, mpfr_srcptr, mpc_rnd_t); 172 __MPC_DECLSPEC int mpc_set_q (mpc_ptr, mpq_srcptr, mpc_rnd_t); 173 __MPC_DECLSPEC int mpc_set_q_q (mpc_ptr, mpq_srcptr, mpq_srcptr, mpc_rnd_t); 174 __MPC_DECLSPEC int mpc_set_si (mpc_ptr, long int, mpc_rnd_t); 175 __MPC_DECLSPEC int mpc_set_si_si (mpc_ptr, long int, long int, mpc_rnd_t); 176 __MPC_DECLSPEC int mpc_set_ui (mpc_ptr, unsigned long int, mpc_rnd_t); 177 __MPC_DECLSPEC int mpc_set_ui_ui (mpc_ptr, unsigned long int, unsigned long int, mpc_rnd_t); 178 __MPC_DECLSPEC int mpc_set_z (mpc_ptr, mpz_srcptr, mpc_rnd_t); 179 __MPC_DECLSPEC int mpc_set_z_z (mpc_ptr, mpz_srcptr, mpz_srcptr, mpc_rnd_t); 180 __MPC_DECLSPEC void mpc_swap (mpc_ptr, mpc_ptr); 181 __MPC_DECLSPEC int mpc_fma (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); 182 183 __MPC_DECLSPEC void mpc_set_nan (mpc_ptr); 184 185 __MPC_DECLSPEC int mpc_real (mpfr_ptr, mpc_srcptr, mpfr_rnd_t); 186 __MPC_DECLSPEC int mpc_imag (mpfr_ptr, mpc_srcptr, mpfr_rnd_t); 187 __MPC_DECLSPEC int mpc_arg (mpfr_ptr, mpc_srcptr, mpfr_rnd_t); 188 __MPC_DECLSPEC int mpc_proj (mpc_ptr, mpc_srcptr, mpc_rnd_t); 189 __MPC_DECLSPEC int mpc_cmp (mpc_srcptr, mpc_srcptr); 190 __MPC_DECLSPEC int mpc_cmp_si_si (mpc_srcptr, long int, long int); 191 __MPC_DECLSPEC int mpc_exp (mpc_ptr, mpc_srcptr, mpc_rnd_t); 192 __MPC_DECLSPEC int mpc_log (mpc_ptr, mpc_srcptr, mpc_rnd_t); 193 __MPC_DECLSPEC int mpc_log10 (mpc_ptr, mpc_srcptr, mpc_rnd_t); 194 __MPC_DECLSPEC int mpc_sin (mpc_ptr, mpc_srcptr, mpc_rnd_t); 195 __MPC_DECLSPEC int mpc_cos (mpc_ptr, mpc_srcptr, mpc_rnd_t); 196 __MPC_DECLSPEC int mpc_sin_cos (mpc_ptr, mpc_ptr, mpc_srcptr, mpc_rnd_t, mpc_rnd_t); 197 __MPC_DECLSPEC int mpc_tan (mpc_ptr, mpc_srcptr, mpc_rnd_t); 198 __MPC_DECLSPEC int mpc_sinh (mpc_ptr, mpc_srcptr, mpc_rnd_t); 199 __MPC_DECLSPEC int mpc_cosh (mpc_ptr, mpc_srcptr, mpc_rnd_t); 200 __MPC_DECLSPEC int mpc_tanh (mpc_ptr, mpc_srcptr, mpc_rnd_t); 201 __MPC_DECLSPEC int mpc_asin (mpc_ptr, mpc_srcptr, mpc_rnd_t); 202 __MPC_DECLSPEC int mpc_acos (mpc_ptr, mpc_srcptr, mpc_rnd_t); 203 __MPC_DECLSPEC int mpc_atan (mpc_ptr, mpc_srcptr, mpc_rnd_t); 204 __MPC_DECLSPEC int mpc_asinh (mpc_ptr, mpc_srcptr, mpc_rnd_t); 205 __MPC_DECLSPEC int mpc_acosh (mpc_ptr, mpc_srcptr, mpc_rnd_t); 206 __MPC_DECLSPEC int mpc_atanh (mpc_ptr, mpc_srcptr, mpc_rnd_t); 207 __MPC_DECLSPEC void mpc_clear (mpc_ptr); 208 __MPC_DECLSPEC int mpc_urandom (mpc_ptr, gmp_randstate_t); 209 __MPC_DECLSPEC void mpc_init2 (mpc_ptr, mpfr_prec_t); 210 __MPC_DECLSPEC void mpc_init3 (mpc_ptr, mpfr_prec_t, mpfr_prec_t); 211 __MPC_DECLSPEC mpfr_prec_t mpc_get_prec (mpc_srcptr x); 212 __MPC_DECLSPEC void mpc_get_prec2 (mpfr_prec_t *pr, mpfr_prec_t *pi, mpc_srcptr x); 213 __MPC_DECLSPEC void mpc_set_prec (mpc_ptr, mpfr_prec_t); 214 __MPC_DECLSPEC const char * mpc_get_version (void); 215 216 __MPC_DECLSPEC int mpc_strtoc (mpc_ptr, const char *, char **, int, mpc_rnd_t); 217 __MPC_DECLSPEC int mpc_set_str (mpc_ptr, const char *, int, mpc_rnd_t); 218 __MPC_DECLSPEC char * mpc_get_str (int, size_t, mpc_srcptr, mpc_rnd_t); 219 __MPC_DECLSPEC void mpc_free_str (char *); 220 221 /* declare certain functions only if appropriate headers have been included */ 222 #ifdef _MPC_H_HAVE_INTMAX_T 223 __MPC_DECLSPEC int mpc_set_sj (mpc_ptr, intmax_t, mpc_rnd_t); 224 __MPC_DECLSPEC int mpc_set_uj (mpc_ptr, uintmax_t, mpc_rnd_t); 225 __MPC_DECLSPEC int mpc_set_sj_sj (mpc_ptr, intmax_t, intmax_t, mpc_rnd_t); 226 __MPC_DECLSPEC int mpc_set_uj_uj (mpc_ptr, uintmax_t, uintmax_t, mpc_rnd_t); 227 #endif 228 229 #ifdef _Complex_I 230 __MPC_DECLSPEC int mpc_set_dc (mpc_ptr, double _Complex, mpc_rnd_t); 231 __MPC_DECLSPEC int mpc_set_ldc (mpc_ptr, long double _Complex, mpc_rnd_t); 232 __MPC_DECLSPEC double _Complex mpc_get_dc (mpc_srcptr, mpc_rnd_t); 233 __MPC_DECLSPEC long double _Complex mpc_get_ldc (mpc_srcptr, mpc_rnd_t); 234 #endif 235 236 #ifdef _GMP_H_HAVE_FILE 237 __MPC_DECLSPEC int mpc_inp_str (mpc_ptr, FILE *, size_t *, int, mpc_rnd_t); 238 __MPC_DECLSPEC size_t mpc_out_str (FILE *, int, size_t, mpc_srcptr, mpc_rnd_t); 239 #endif 240 241 #if defined (__cplusplus) 242 } 243 #endif 244 245 #define mpc_realref(x) ((x)->re) 246 #define mpc_imagref(x) ((x)->im) 247 248 #define mpc_cmp_si(x, y) \ 249 ( mpc_cmp_si_si ((x), (y), 0l) ) 250 #define mpc_ui_sub(x, y, z, r) mpc_ui_ui_sub (x, y, 0ul, z, r) 251 252 /* 253 Define a fake mpfr_set_fr so that, for instance, mpc_set_fr_z would 254 be defined as follows: 255 mpc_set_fr_z (mpc_t rop, mpfr_t x, mpz_t y, mpc_rnd_t rnd) 256 MPC_SET_X_Y (fr, z, rop, x, y, rnd) 257 */ 258 #ifndef mpfr_set_fr 259 #define mpfr_set_fr mpfr_set 260 #endif 261 #define MPC_SET_X_Y(real_t, imag_t, z, real_value, imag_value, rnd) \ 262 { \ 263 int _inex_re, _inex_im; \ 264 _inex_re = (mpfr_set_ ## real_t) (mpc_realref (z), (real_value), MPC_RND_RE (rnd)); \ 265 _inex_im = (mpfr_set_ ## imag_t) (mpc_imagref (z), (imag_value), MPC_RND_IM (rnd)); \ 266 return MPC_INEX (_inex_re, _inex_im); \ 267 } 268 269 #endif /* ifndef __MPC_H */ 270
