/* mpc.h -- Include file for mpc. Copyright (C) INRIA, 2002, 2003, 2004, 2005, 2007, 2008, 2009, 2010, 2011 This file is part of the MPC Library. The MPC Library is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version. The MPC Library is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with the MPC Library; see the file COPYING.LIB. If not, write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ #ifndef __MPC_H #define __MPC_H #include "gmp.h" #include "mpfr.h" /* Backwards compatibility with mpfr<3.0.0 */ #ifndef mpfr_exp_t #define mpfr_exp_t mp_exp_t #endif /* Define MPC version number */ #define MPC_VERSION_MAJOR 0 #define MPC_VERSION_MINOR 9 #define MPC_VERSION_PATCHLEVEL 0 #define MPC_VERSION_STRING "0.9" /* Macros dealing with MPC VERSION */ #define MPC_VERSION_NUM(a,b,c) (((a) << 16L) | ((b) << 8) | (c)) #define MPC_VERSION \ MPC_VERSION_NUM(MPC_VERSION_MAJOR,MPC_VERSION_MINOR,MPC_VERSION_PATCHLEVEL) /* Check if stdio.h is included */ #if defined (_GMP_H_HAVE_FILE) # define _MPC_H_HAVE_FILE 1 #endif /* Check if stdint.h/inttypes.h is included */ #if defined (INTMAX_C) && defined (UINTMAX_C) # define _MPC_H_HAVE_INTMAX_T 1 #endif /* Check if complex.h is included */ #if defined (_COMPLEX_H) # define _MPC_H_HAVE_COMPLEX 1 #endif /* Return values */ /* Transform negative to 2, positive to 1, leave 0 unchanged */ #define MPC_INEX_POS(inex) (((inex) < 0) ? 2 : ((inex) == 0) ? 0 : 1) /* Transform 2 to negative, 1 to positive, leave 0 unchanged */ #define MPC_INEX_NEG(inex) (((inex) == 2) ? -1 : ((inex) == 0) ? 0 : 1) /* The global inexact flag is made of (real flag) + 4 * (imaginary flag), where each of the real and imaginary inexact flag are: 0 when the result is exact (no rounding error) 1 when the result is larger than the exact value 2 when the result is smaller than the exact value */ #define MPC_INEX(inex_re, inex_im) \ (MPC_INEX_POS(inex_re) | (MPC_INEX_POS(inex_im) << 2)) #define MPC_INEX_RE(inex) MPC_INEX_NEG((inex) & 3) #define MPC_INEX_IM(inex) MPC_INEX_NEG((inex) >> 2) /* For functions computing two results, the return value is inexact1+16*inexact2, which is 0 iif both results are exact. */ #define MPC_INEX12(inex1, inex2) (inex1 | (inex2 << 4)) #define MPC_INEX1(inex) (inex & 15) #define MPC_INEX2(inex) (inex >> 4) /* Definition of rounding modes */ /* a complex rounding mode is just a pair of two real rounding modes we reserve four bits for a real rounding mode. */ typedef int mpc_rnd_t; #define RNDC(r1,r2) (((int)(r1)) + ((int)(r2) << 4)) #define MPC_RND_RE(x) ((mpfr_rnd_t)((x) & 0x0F)) #define MPC_RND_IM(x) ((mpfr_rnd_t)((x) >> 4)) #define MPC_RNDNN RNDC(GMP_RNDN,GMP_RNDN) #define MPC_RNDNZ RNDC(GMP_RNDN,GMP_RNDZ) #define MPC_RNDNU RNDC(GMP_RNDN,GMP_RNDU) #define MPC_RNDND RNDC(GMP_RNDN,GMP_RNDD) #define MPC_RNDZN RNDC(GMP_RNDZ,GMP_RNDN) #define MPC_RNDZZ RNDC(GMP_RNDZ,GMP_RNDZ) #define MPC_RNDZU RNDC(GMP_RNDZ,GMP_RNDU) #define MPC_RNDZD RNDC(GMP_RNDZ,GMP_RNDD) #define MPC_RNDUN RNDC(GMP_RNDU,GMP_RNDN) #define MPC_RNDUZ RNDC(GMP_RNDU,GMP_RNDZ) #define MPC_RNDUU RNDC(GMP_RNDU,GMP_RNDU) #define MPC_RNDUD RNDC(GMP_RNDU,GMP_RNDD) #define MPC_RNDDN RNDC(GMP_RNDD,GMP_RNDN) #define MPC_RNDDZ RNDC(GMP_RNDD,GMP_RNDZ) #define MPC_RNDDU RNDC(GMP_RNDD,GMP_RNDU) #define MPC_RNDDD RNDC(GMP_RNDD,GMP_RNDD) /* Definitions of types and their semantics */ typedef struct { mpfr_t re; mpfr_t im; } __mpc_struct; typedef __mpc_struct mpc_t[1]; typedef __mpc_struct *mpc_ptr; typedef __gmp_const __mpc_struct *mpc_srcptr; /* Prototypes: Support of K&R compiler */ #if defined (__GMP_PROTO) # define __MPC_PROTO __GMP_PROTO #elif defined (__STDC__) || defined (__cplusplus) # define __MPC_PROTO(x) x #else # define __MPC_PROTO(x) () #endif /* Support for WINDOWS Dll: Check if we are inside a MPC build, and if so export the functions. Otherwise does the same thing as GMP */ #if defined(__MPC_WITHIN_MPC) && __GMP_LIBGMP_DLL # define __MPC_DECLSPEC __GMP_DECLSPEC_EXPORT #else # define __MPC_DECLSPEC __GMP_DECLSPEC #endif #if defined (__cplusplus) extern "C" { #endif __MPC_DECLSPEC int mpc_add __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_add_fr __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_add_si __MPC_PROTO ((mpc_ptr, mpc_srcptr, long int, mpc_rnd_t)); __MPC_DECLSPEC int mpc_add_ui __MPC_PROTO ((mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t)); __MPC_DECLSPEC int mpc_sub __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_sub_fr __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_fr_sub __MPC_PROTO ((mpc_ptr, mpfr_srcptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_sub_ui __MPC_PROTO ((mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t)); __MPC_DECLSPEC int mpc_ui_ui_sub __MPC_PROTO ((mpc_ptr, unsigned long int, unsigned long int, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_mul __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_mul_fr __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_mul_ui __MPC_PROTO ((mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t)); __MPC_DECLSPEC int mpc_mul_si __MPC_PROTO ((mpc_ptr, mpc_srcptr, long int, mpc_rnd_t)); __MPC_DECLSPEC int mpc_mul_i __MPC_PROTO ((mpc_ptr, mpc_srcptr, int, mpc_rnd_t)); __MPC_DECLSPEC int mpc_sqr __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_div __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_pow __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_pow_fr __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_pow_ld __MPC_PROTO ((mpc_ptr, mpc_srcptr, long double, mpc_rnd_t)); __MPC_DECLSPEC int mpc_pow_d __MPC_PROTO ((mpc_ptr, mpc_srcptr, double, mpc_rnd_t)); __MPC_DECLSPEC int mpc_pow_si __MPC_PROTO ((mpc_ptr, mpc_srcptr, long, mpc_rnd_t)); __MPC_DECLSPEC int mpc_pow_ui __MPC_PROTO ((mpc_ptr, mpc_srcptr, unsigned long, mpc_rnd_t)); __MPC_DECLSPEC int mpc_pow_z __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpz_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_div_fr __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_fr_div __MPC_PROTO ((mpc_ptr, mpfr_srcptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_div_ui __MPC_PROTO ((mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t)); __MPC_DECLSPEC int mpc_ui_div __MPC_PROTO ((mpc_ptr, unsigned long int, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_div_2exp __MPC_PROTO ((mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t)); __MPC_DECLSPEC int mpc_mul_2exp __MPC_PROTO ((mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t)); __MPC_DECLSPEC int mpc_conj __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_neg __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_norm __MPC_PROTO ((mpfr_ptr, mpc_srcptr, mpfr_rnd_t)); __MPC_DECLSPEC int mpc_abs __MPC_PROTO ((mpfr_ptr, mpc_srcptr, mpfr_rnd_t)); __MPC_DECLSPEC int mpc_sqrt __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set_d __MPC_PROTO ((mpc_ptr, double, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set_d_d __MPC_PROTO ((mpc_ptr, double, double, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set_ld __MPC_PROTO ((mpc_ptr, long double, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set_ld_ld __MPC_PROTO ((mpc_ptr, long double, long double, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set_f __MPC_PROTO ((mpc_ptr, mpf_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set_f_f __MPC_PROTO ((mpc_ptr, mpf_srcptr, mpf_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set_fr __MPC_PROTO ((mpc_ptr, mpfr_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set_fr_fr __MPC_PROTO ((mpc_ptr, mpfr_srcptr, mpfr_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set_q __MPC_PROTO ((mpc_ptr, mpq_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set_q_q __MPC_PROTO ((mpc_ptr, mpq_srcptr, mpq_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set_si __MPC_PROTO ((mpc_ptr, long int, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set_si_si __MPC_PROTO ((mpc_ptr, long int, long int, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set_ui __MPC_PROTO ((mpc_ptr, unsigned long int, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set_ui_ui __MPC_PROTO ((mpc_ptr, unsigned long int, unsigned long int, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set_z __MPC_PROTO ((mpc_ptr, mpz_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set_z_z __MPC_PROTO ((mpc_ptr, mpz_srcptr, mpz_srcptr, mpc_rnd_t)); __MPC_DECLSPEC void mpc_swap __MPC_PROTO ((mpc_ptr, mpc_ptr)); __MPC_DECLSPEC int mpc_fma __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t)); #ifdef _MPC_H_HAVE_INTMAX_T __MPC_DECLSPEC int mpc_set_sj __MPC_PROTO ((mpc_ptr, intmax_t, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set_uj __MPC_PROTO ((mpc_ptr, uintmax_t, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set_sj_sj __MPC_PROTO ((mpc_ptr, intmax_t, intmax_t, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set_uj_uj __MPC_PROTO ((mpc_ptr, uintmax_t, uintmax_t, mpc_rnd_t)); #endif #ifdef _MPC_H_HAVE_COMPLEX __MPC_DECLSPEC int mpc_set_dc __MPC_PROTO ((mpc_ptr, double _Complex, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set_ldc __MPC_PROTO ((mpc_ptr, long double _Complex, mpc_rnd_t)); __MPC_DECLSPEC double _Complex mpc_get_dc __MPC_PROTO ((mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC long double _Complex mpc_get_ldc __MPC_PROTO ((mpc_srcptr, mpc_rnd_t)); #endif __MPC_DECLSPEC void mpc_set_nan __MPC_PROTO ((mpc_ptr)); __MPC_DECLSPEC int mpc_real __MPC_PROTO ((mpfr_ptr, mpc_srcptr, mpfr_rnd_t)); __MPC_DECLSPEC int mpc_imag __MPC_PROTO ((mpfr_ptr, mpc_srcptr, mpfr_rnd_t)); __MPC_DECLSPEC int mpc_arg __MPC_PROTO ((mpfr_ptr, mpc_srcptr, mpfr_rnd_t)); __MPC_DECLSPEC int mpc_proj __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_cmp __MPC_PROTO ((mpc_srcptr, mpc_srcptr)); __MPC_DECLSPEC int mpc_cmp_si_si __MPC_PROTO ((mpc_srcptr, long int, long int)); __MPC_DECLSPEC int mpc_exp __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_log __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_sin __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_cos __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_sin_cos __MPC_PROTO ((mpc_ptr, mpc_ptr, mpc_srcptr, mpc_rnd_t, mpc_rnd_t)); __MPC_DECLSPEC int mpc_tan __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_sinh __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_cosh __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_tanh __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_asin __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_acos __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_atan __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_asinh __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_acosh __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC int mpc_atanh __MPC_PROTO ((mpc_ptr, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC void mpc_clear __MPC_PROTO ((mpc_ptr)); __MPC_DECLSPEC int mpc_urandom __MPC_PROTO ((mpc_ptr, gmp_randstate_t)); __MPC_DECLSPEC void mpc_init2 __MPC_PROTO ((mpc_ptr, mpfr_prec_t)); __MPC_DECLSPEC void mpc_init3 __MPC_PROTO ((mpc_ptr, mpfr_prec_t, mpfr_prec_t)); __MPC_DECLSPEC mpfr_prec_t mpc_get_prec __MPC_PROTO((mpc_srcptr x)); __MPC_DECLSPEC void mpc_get_prec2 __MPC_PROTO((mpfr_prec_t *pr, mpfr_prec_t *pi, mpc_srcptr x)); __MPC_DECLSPEC void mpc_set_prec __MPC_PROTO ((mpc_ptr, mpfr_prec_t)); __MPC_DECLSPEC __gmp_const char * mpc_get_version __MPC_PROTO ((void)); __MPC_DECLSPEC int mpc_strtoc _MPFR_PROTO ((mpc_ptr, const char *, char **, int, mpc_rnd_t)); __MPC_DECLSPEC int mpc_set_str _MPFR_PROTO ((mpc_ptr, const char *, int, mpc_rnd_t)); __MPC_DECLSPEC char * mpc_get_str _MPFR_PROTO ((int, size_t, mpc_srcptr, mpc_rnd_t)); __MPC_DECLSPEC void mpc_free_str _MPFR_PROTO ((char *)); #ifdef _MPC_H_HAVE_FILE __MPC_DECLSPEC int mpc_inp_str __MPC_PROTO ((mpc_ptr, FILE *, size_t *, int, mpc_rnd_t)); __MPC_DECLSPEC size_t mpc_out_str __MPC_PROTO ((FILE *, int, size_t, mpc_srcptr, mpc_rnd_t)); #endif #if defined (__cplusplus) } #endif #define mpc_realref(x) ((x)->re) #define mpc_imagref(x) ((x)->im) #define mpc_cmp_si(x, y) \ ( mpc_cmp_si_si ((x), (y), 0l) ) #define mpc_ui_sub(x, y, z, r) mpc_ui_ui_sub (x, y, 0ul, z, r) /* Define a fake mpfr_set_fr so that, for instance, mpc_set_fr_z would be defined as follows: mpc_set_fr_z (mpc_t rop, mpfr_t x, mpz_t y, mpc_rnd_t rnd) MPC_SET_X_Y (fr, z, rop, x, y, rnd) */ #ifndef mpfr_set_fr #define mpfr_set_fr mpfr_set #endif #define MPC_SET_X_Y(real_t, imag_t, z, real_value, imag_value, rnd) \ { \ int _inex_re, _inex_im; \ _inex_re = (mpfr_set_ ## real_t) (mpc_realref (z), (real_value), MPC_RND_RE (rnd)); \ _inex_im = (mpfr_set_ ## imag_t) (mpc_imagref (z), (imag_value), MPC_RND_IM (rnd)); \ return MPC_INEX (_inex_re, _inex_im); \ } #endif /* ifndef __MPC_H */