1 /* mpc-impl.h -- Internal include file for mpc. 2 3 Copyright (C) 2002, 2004, 2005, 2008, 2009, 2010, 2011, 2012, 2020, 2022 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_IMPL_H 22 #define __MPC_IMPL_H 23 #define __MPC_LIBRARY_BUILD 24 /* to indicate we are inside the library build */ 25 26 #include "config.h" 27 #ifdef HAVE_STDLIB_H 28 #include <stdlib.h> 29 #endif 30 #include "mpc.h" 31 32 /* 33 * Miscellaneous useful macros 34 */ 35 36 #define MPC_MIN(h,i) ((h) < (i) ? (h) : (i)) 37 #define MPC_MAX(h,i) ((h) > (i) ? (h) : (i)) 38 39 /* Safe absolute value (to avoid possible integer overflow) */ 40 /* type is the target (unsigned) type (copied from mpfr-impl.h) */ 41 #ifdef SAFE_ABS 42 #undef SAFE_ABS 43 #endif 44 #define SAFE_ABS(type,x) ((x) >= 0 ? (type)(x) : -(type)(x)) 45 46 47 /* 48 * MPFR constants and macros 49 */ 50 51 #ifndef BITS_PER_MP_LIMB 52 #define BITS_PER_MP_LIMB mp_bits_per_limb 53 #endif 54 55 #define MPFR_SIGNBIT(x) (mpfr_signbit (x) ? -1 : 1) 56 #define MPC_MPFR_SIGN(x) (mpfr_zero_p (x) ? 0 : MPFR_SIGNBIT (x)) 57 /* should be called MPFR_SIGN, but this is taken in mpfr.h */ 58 #define MPFR_CHANGE_SIGN(x) mpfr_neg(x,x,MPFR_RNDN) 59 #define MPFR_COPYSIGN(x,y,z,rnd) (mpfr_nan_p (z) ? \ 60 mpfr_setsign (x, y, 0, rnd) : \ 61 mpfr_copysign (x, y, z, rnd)) 62 /* work around spurious signs in nan */ 63 #define MPFR_ADD_ONE_ULP(x) \ 64 (MPFR_SIGN (x) > 0 ? mpfr_nextabove (x) : mpfr_nextbelow (x)) 65 #define MPFR_SUB_ONE_ULP(x) \ 66 (MPFR_SIGN (x) > 0 ? mpfr_nextbelow (x) : mpfr_nextabove (x)) 67 /* drop unused rounding mode from macros */ 68 #define MPFR_SWAP(a,b) do { mpfr_srcptr tmp; tmp = a; a = b; b = tmp; } while (0) 69 70 71 /* 72 * MPC macros 73 */ 74 75 #define MPC_PREC_RE(x) (mpfr_get_prec(mpc_realref(x))) 76 #define MPC_PREC_IM(x) (mpfr_get_prec(mpc_imagref(x))) 77 #define MPC_MAX_PREC(x) MPC_MAX(MPC_PREC_RE(x), MPC_PREC_IM(x)) 78 79 #define INV_RND(r) \ 80 (((r) == MPFR_RNDU) ? MPFR_RNDD : (((r) == MPFR_RNDD) ? MPFR_RNDU : (r))) 81 82 /* Return non-zero if 'rnd' rounds towards zero, for a number of sign 'sgn' */ 83 #define MPC_IS_LIKE_RNDZ(rnd, sgn) \ 84 ((rnd==MPFR_RNDZ) || (sgn<0 && rnd==MPFR_RNDU) || (sgn>0 && rnd==MPFR_RNDD)) 85 86 /* Return non-zero if 'rnd' rounds away from zero for a number of sign 'sgn' */ 87 #define MPC_IS_LIKE_RNDA(rnd, sgn) \ 88 ((sgn<0 && rnd==MPFR_RNDD) || (sgn>0 && rnd==MPFR_RNDU)) 89 90 #define mpc_inf_p(z) (mpfr_inf_p(mpc_realref(z))||mpfr_inf_p(mpc_imagref(z))) 91 /* Convention in C99 (G.3): z is regarded as an infinity if at least one of 92 its parts is infinite */ 93 #define mpc_zero_p(z) (mpfr_zero_p(mpc_realref(z))&&mpfr_zero_p(mpc_imagref(z))) 94 /* Convention in C99 (G.3): z is regarded as a zero if each of its parts is 95 a zero */ 96 #define mpc_fin_p(z) (mpfr_number_p(mpc_realref(z))&&mpfr_number_p(mpc_imagref(z))) 97 /* Convention in C99 (G.3): z is regarded as finite if both its parts are */ 98 #define mpc_nan_p(z) ((mpfr_nan_p(mpc_realref(z)) && !mpfr_inf_p(mpc_imagref(z))) || (mpfr_nan_p(mpc_imagref(z)) && !mpfr_inf_p(mpc_realref(z)))) 99 /* Consider as NaN all other numbers containing at least one NaN */ 100 101 102 /* 103 * ASSERT macros 104 */ 105 106 #ifdef NDEBUG 107 #define MPC_ASSERT(expr) \ 108 do { \ 109 } while (0) 110 #else 111 #define MPC_ASSERT(expr) \ 112 do { \ 113 if (!(expr)) \ 114 { \ 115 fprintf (stderr, "%s:%d: MPC assertion failed: %s\n", \ 116 __FILE__, __LINE__, #expr); \ 117 abort(); \ 118 } \ 119 } while (0) 120 #endif 121 122 123 /* 124 * Debug macros 125 */ 126 127 #define MPC_OUT(x) \ 128 do { \ 129 printf (#x "[%lu,%lu]=", (unsigned long int) MPC_PREC_RE (x), \ 130 (unsigned long int) MPC_PREC_IM (x)); \ 131 mpc_out_str (stdout, 2, 0, x, MPC_RNDNN); \ 132 printf ("\n"); \ 133 } while (0) 134 135 #define MPFR_OUT(x) \ 136 do { \ 137 printf (#x "[%lu]=", (unsigned long int) mpfr_get_prec (x)); \ 138 mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); \ 139 printf ("\n"); \ 140 } while (0) 141 142 #define MPFR_OUT_Q(x) \ 143 do { \ 144 mpq_t q; \ 145 mpq_init (q); \ 146 mpfr_get_q (q, x); \ 147 mpq_out_str (stdout, 10, q); \ 148 mpq_clear (q); \ 149 } while (0) 150 151 #define MPC_OUT_PARI(x) \ 152 do { \ 153 printf (#x "="); \ 154 MPFR_OUT_Q (mpc_realref (x)); \ 155 printf ("+I*("); \ 156 MPFR_OUT_Q (mpc_imagref (x)); \ 157 printf (");\n"); \ 158 } while (0) 159 160 161 /* 162 * Constants 163 */ 164 165 #ifndef MUL_KARATSUBA_THRESHOLD 166 #define MUL_KARATSUBA_THRESHOLD 23 167 #endif 168 169 170 /* 171 * Define internal functions 172 */ 173 174 #if defined (__cplusplus) 175 extern "C" { 176 #endif 177 178 /* Function for mpcb. */ 179 __MPC_DECLSPEC void mpcb_eta_err (mpcb_ptr eta, mpc_srcptr z, 180 unsigned long int err_re, unsigned long int err_im); 181 182 /* Functions for mpc. */ 183 __MPC_DECLSPEC int mpc_mul_naive (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); 184 __MPC_DECLSPEC int mpc_mul_karatsuba (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); 185 __MPC_DECLSPEC int mpc_fma_naive (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); 186 __MPC_DECLSPEC int mpc_pow_usi (mpc_ptr, mpc_srcptr, unsigned long, int, mpc_rnd_t); 187 __MPC_DECLSPEC char* mpc_alloc_str (size_t); 188 __MPC_DECLSPEC char* mpc_realloc_str (char*, size_t, size_t); 189 __MPC_DECLSPEC void mpc_free_str (char*); 190 __MPC_DECLSPEC mpfr_prec_t mpc_ceil_log2 (mpfr_prec_t); 191 __MPC_DECLSPEC int set_pi_over_2 (mpfr_ptr, int, mpfr_rnd_t); 192 __MPC_DECLSPEC int mpc_fix_inf (mpfr_t x, mpfr_rnd_t rnd); 193 __MPC_DECLSPEC int mpc_fix_zero (mpfr_t x, mpfr_rnd_t rnd); 194 195 #if defined (__cplusplus) 196 } 197 #endif 198 199 200 #endif 201