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270 lines
12 KiB
C
270 lines
12 KiB
C
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/* mpc.h -- Include file for mpc.
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Copyright (C) 2002, 2003, 2004, 2005, 2007, 2008, 2009, 2010, 2011, 2012, 2014, 2015 INRIA
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This file is part of GNU MPC.
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GNU MPC is free software; you can redistribute it and/or modify it under
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the terms of the GNU Lesser General Public License as published by the
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Free Software Foundation; either version 3 of the License, or (at your
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option) any later version.
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GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY
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WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for
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more details.
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You should have received a copy of the GNU Lesser General Public License
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along with this program. If not, see http://www.gnu.org/licenses/ .
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*/
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#ifndef __MPC_H
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#define __MPC_H
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#include "gmp.h"
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#include "mpfr.h"
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/* Backwards compatibility with mpfr<3.0.0 */
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#ifndef mpfr_exp_t
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#define mpfr_exp_t mp_exp_t
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#endif
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/* Define MPC version number */
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#define MPC_VERSION_MAJOR 1
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#define MPC_VERSION_MINOR 0
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#define MPC_VERSION_PATCHLEVEL 3
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#define MPC_VERSION_STRING "1.0.3"
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/* Macros dealing with MPC VERSION */
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#define MPC_VERSION_NUM(a,b,c) (((a) << 16L) | ((b) << 8) | (c))
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#define MPC_VERSION \
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MPC_VERSION_NUM(MPC_VERSION_MAJOR,MPC_VERSION_MINOR,MPC_VERSION_PATCHLEVEL)
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/* Check if stdint.h/inttypes.h is included */
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#if defined (INTMAX_C) && defined (UINTMAX_C)
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#define _MPC_H_HAVE_INTMAX_T 1
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#endif
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/* Return values */
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/* Transform negative to 2, positive to 1, leave 0 unchanged */
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#define MPC_INEX_POS(inex) (((inex) < 0) ? 2 : ((inex) == 0) ? 0 : 1)
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/* Transform 2 to negative, 1 to positive, leave 0 unchanged */
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#define MPC_INEX_NEG(inex) (((inex) == 2) ? -1 : ((inex) == 0) ? 0 : 1)
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/* The global inexact flag is made of (real flag) + 4 * (imaginary flag), where
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each of the real and imaginary inexact flag are:
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0 when the result is exact (no rounding error)
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1 when the result is larger than the exact value
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2 when the result is smaller than the exact value */
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#define MPC_INEX(inex_re, inex_im) \
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(MPC_INEX_POS(inex_re) | (MPC_INEX_POS(inex_im) << 2))
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#define MPC_INEX_RE(inex) MPC_INEX_NEG((inex) & 3)
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#define MPC_INEX_IM(inex) MPC_INEX_NEG((inex) >> 2)
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/* For functions computing two results, the return value is
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inexact1+16*inexact2, which is 0 iif both results are exact. */
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#define MPC_INEX12(inex1, inex2) (inex1 | (inex2 << 4))
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#define MPC_INEX1(inex) (inex & 15)
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#define MPC_INEX2(inex) (inex >> 4)
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/* Definition of rounding modes */
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/* a complex rounding mode is just a pair of two real rounding modes
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we reserve four bits for a real rounding mode. */
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typedef int mpc_rnd_t;
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#define MPC_RND(r1,r2) (((int)(r1)) + ((int)(r2) << 4))
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#define MPC_RND_RE(x) ((mpfr_rnd_t)((x) & 0x0F))
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#define MPC_RND_IM(x) ((mpfr_rnd_t)((x) >> 4))
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#define MPC_RNDNN MPC_RND (GMP_RNDN,GMP_RNDN)
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#define MPC_RNDNZ MPC_RND (GMP_RNDN,GMP_RNDZ)
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#define MPC_RNDNU MPC_RND (GMP_RNDN,GMP_RNDU)
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#define MPC_RNDND MPC_RND (GMP_RNDN,GMP_RNDD)
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#define MPC_RNDZN MPC_RND (GMP_RNDZ,GMP_RNDN)
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#define MPC_RNDZZ MPC_RND (GMP_RNDZ,GMP_RNDZ)
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#define MPC_RNDZU MPC_RND (GMP_RNDZ,GMP_RNDU)
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#define MPC_RNDZD MPC_RND (GMP_RNDZ,GMP_RNDD)
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#define MPC_RNDUN MPC_RND (GMP_RNDU,GMP_RNDN)
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#define MPC_RNDUZ MPC_RND (GMP_RNDU,GMP_RNDZ)
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#define MPC_RNDUU MPC_RND (GMP_RNDU,GMP_RNDU)
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#define MPC_RNDUD MPC_RND (GMP_RNDU,GMP_RNDD)
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#define MPC_RNDDN MPC_RND (GMP_RNDD,GMP_RNDN)
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#define MPC_RNDDZ MPC_RND (GMP_RNDD,GMP_RNDZ)
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#define MPC_RNDDU MPC_RND (GMP_RNDD,GMP_RNDU)
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#define MPC_RNDDD MPC_RND (GMP_RNDD,GMP_RNDD)
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/* Definitions of types and their semantics */
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typedef struct {
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mpfr_t re;
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mpfr_t im;
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}
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__mpc_struct;
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typedef __mpc_struct mpc_t[1];
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typedef __mpc_struct *mpc_ptr;
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typedef const __mpc_struct *mpc_srcptr;
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/* Support for WINDOWS DLL, see
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http://lists.gforge.inria.fr/pipermail/mpc-discuss/2011-November/000990.html;
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when building the DLL, export symbols, otherwise behave as GMP */
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#if defined (__MPC_LIBRARY_BUILD) && __GMP_LIBGMP_DLL
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#define __MPC_DECLSPEC __GMP_DECLSPEC_EXPORT
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#else
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#define __MPC_DECLSPEC __GMP_DECLSPEC
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#endif
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#if defined (__cplusplus)
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extern "C" {
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#endif
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__MPC_DECLSPEC int mpc_add (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_add_fr (mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_add_si (mpc_ptr, mpc_srcptr, long int, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_add_ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_sub (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_sub_fr (mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_fr_sub (mpc_ptr, mpfr_srcptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_sub_ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_ui_ui_sub (mpc_ptr, unsigned long int, unsigned long int, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_mul (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_mul_fr (mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_mul_ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_mul_si (mpc_ptr, mpc_srcptr, long int, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_mul_i (mpc_ptr, mpc_srcptr, int, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_sqr (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_div (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_pow (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_pow_fr (mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_pow_ld (mpc_ptr, mpc_srcptr, long double, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_pow_d (mpc_ptr, mpc_srcptr, double, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_pow_si (mpc_ptr, mpc_srcptr, long, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_pow_ui (mpc_ptr, mpc_srcptr, unsigned long, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_pow_z (mpc_ptr, mpc_srcptr, mpz_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_div_fr (mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_fr_div (mpc_ptr, mpfr_srcptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_div_ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_ui_div (mpc_ptr, unsigned long int, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_div_2ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_mul_2ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_div_2si (mpc_ptr, mpc_srcptr, long int, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_mul_2si (mpc_ptr, mpc_srcptr, long int, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_conj (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_neg (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_norm (mpfr_ptr, mpc_srcptr, mpfr_rnd_t);
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__MPC_DECLSPEC int mpc_abs (mpfr_ptr, mpc_srcptr, mpfr_rnd_t);
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__MPC_DECLSPEC int mpc_sqrt (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set_d (mpc_ptr, double, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set_d_d (mpc_ptr, double, double, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set_ld (mpc_ptr, long double, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set_ld_ld (mpc_ptr, long double, long double, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set_f (mpc_ptr, mpf_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set_f_f (mpc_ptr, mpf_srcptr, mpf_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set_fr (mpc_ptr, mpfr_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set_fr_fr (mpc_ptr, mpfr_srcptr, mpfr_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set_q (mpc_ptr, mpq_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set_q_q (mpc_ptr, mpq_srcptr, mpq_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set_si (mpc_ptr, long int, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set_si_si (mpc_ptr, long int, long int, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set_ui (mpc_ptr, unsigned long int, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set_ui_ui (mpc_ptr, unsigned long int, unsigned long int, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set_z (mpc_ptr, mpz_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set_z_z (mpc_ptr, mpz_srcptr, mpz_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC void mpc_swap (mpc_ptr, mpc_ptr);
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__MPC_DECLSPEC int mpc_fma (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC void mpc_set_nan (mpc_ptr);
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__MPC_DECLSPEC int mpc_real (mpfr_ptr, mpc_srcptr, mpfr_rnd_t);
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__MPC_DECLSPEC int mpc_imag (mpfr_ptr, mpc_srcptr, mpfr_rnd_t);
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__MPC_DECLSPEC int mpc_arg (mpfr_ptr, mpc_srcptr, mpfr_rnd_t);
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__MPC_DECLSPEC int mpc_proj (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_cmp (mpc_srcptr, mpc_srcptr);
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__MPC_DECLSPEC int mpc_cmp_si_si (mpc_srcptr, long int, long int);
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__MPC_DECLSPEC int mpc_exp (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_log (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_log10 (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_sin (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_cos (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_sin_cos (mpc_ptr, mpc_ptr, mpc_srcptr, mpc_rnd_t, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_tan (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_sinh (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_cosh (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_tanh (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_asin (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_acos (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_atan (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_asinh (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_acosh (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_atanh (mpc_ptr, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC void mpc_clear (mpc_ptr);
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__MPC_DECLSPEC int mpc_urandom (mpc_ptr, gmp_randstate_t);
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__MPC_DECLSPEC void mpc_init2 (mpc_ptr, mpfr_prec_t);
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__MPC_DECLSPEC void mpc_init3 (mpc_ptr, mpfr_prec_t, mpfr_prec_t);
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__MPC_DECLSPEC mpfr_prec_t mpc_get_prec (mpc_srcptr x);
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__MPC_DECLSPEC void mpc_get_prec2 (mpfr_prec_t *pr, mpfr_prec_t *pi, mpc_srcptr x);
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__MPC_DECLSPEC void mpc_set_prec (mpc_ptr, mpfr_prec_t);
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__MPC_DECLSPEC const char * mpc_get_version (void);
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__MPC_DECLSPEC int mpc_strtoc (mpc_ptr, const char *, char **, int, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set_str (mpc_ptr, const char *, int, mpc_rnd_t);
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__MPC_DECLSPEC char * mpc_get_str (int, size_t, mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC void mpc_free_str (char *);
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/* declare certain functions only if appropriate headers have been included */
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#ifdef _MPC_H_HAVE_INTMAX_T
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__MPC_DECLSPEC int mpc_set_sj (mpc_ptr, intmax_t, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set_uj (mpc_ptr, uintmax_t, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set_sj_sj (mpc_ptr, intmax_t, intmax_t, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set_uj_uj (mpc_ptr, uintmax_t, uintmax_t, mpc_rnd_t);
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#endif
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#ifdef _Complex_I
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__MPC_DECLSPEC int mpc_set_dc (mpc_ptr, double _Complex, mpc_rnd_t);
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__MPC_DECLSPEC int mpc_set_ldc (mpc_ptr, long double _Complex, mpc_rnd_t);
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__MPC_DECLSPEC double _Complex mpc_get_dc (mpc_srcptr, mpc_rnd_t);
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__MPC_DECLSPEC long double _Complex mpc_get_ldc (mpc_srcptr, mpc_rnd_t);
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#endif
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#ifdef _GMP_H_HAVE_FILE
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__MPC_DECLSPEC int mpc_inp_str (mpc_ptr, FILE *, size_t *, int, mpc_rnd_t);
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__MPC_DECLSPEC size_t mpc_out_str (FILE *, int, size_t, mpc_srcptr, mpc_rnd_t);
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#endif
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||
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#if defined (__cplusplus)
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}
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#endif
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#define mpc_realref(x) ((x)->re)
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#define mpc_imagref(x) ((x)->im)
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#define mpc_cmp_si(x, y) \
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( mpc_cmp_si_si ((x), (y), 0l) )
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#define mpc_ui_sub(x, y, z, r) mpc_ui_ui_sub (x, y, 0ul, z, r)
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/*
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Define a fake mpfr_set_fr so that, for instance, mpc_set_fr_z would
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be defined as follows:
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mpc_set_fr_z (mpc_t rop, mpfr_t x, mpz_t y, mpc_rnd_t rnd)
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MPC_SET_X_Y (fr, z, rop, x, y, rnd)
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*/
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#ifndef mpfr_set_fr
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#define mpfr_set_fr mpfr_set
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#endif
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#define MPC_SET_X_Y(real_t, imag_t, z, real_value, imag_value, rnd) \
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{ \
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int _inex_re, _inex_im; \
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_inex_re = (mpfr_set_ ## real_t) (mpc_realref (z), (real_value), MPC_RND_RE (rnd)); \
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_inex_im = (mpfr_set_ ## imag_t) (mpc_imagref (z), (imag_value), MPC_RND_IM (rnd)); \
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return MPC_INEX (_inex_re, _inex_im); \
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||
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}
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||
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#endif /* ifndef __MPC_H */
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