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/* mpc.h -- Include file for mpc. |
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|
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Copyright (C) 2002, 2003, 2004, 2005, 2007, 2008, 2009, 2010, 2011, 2012, 2016, 2017, 2018, 2020 INRIA |
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|
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This file is part of GNU MPC. |
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|
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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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|
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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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|
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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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|
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#ifndef __MPC_H |
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#define __MPC_H |
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|
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#include "gmp.h" |
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#include "mpfr.h" |
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|
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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 2 |
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#define MPC_VERSION_PATCHLEVEL 1 |
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#define MPC_VERSION_STRING "1.2.1" |
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|
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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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|
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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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|
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/* Return values */ |
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|
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/* Transform negative to 2, positive to 1, leave 0 unchanged. |
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Warning: since inex is evaluated two times, we should avoid |
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MPC_INEX(mpc_mul (...), mpc_mul (...)) */ |
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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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|
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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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|
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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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|
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/* Definition of rounding modes */ |
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|
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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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|
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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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|
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#define MPC_RNDNN MPC_RND (MPFR_RNDN,MPFR_RNDN) |
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#define MPC_RNDNZ MPC_RND (MPFR_RNDN,MPFR_RNDZ) |
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#define MPC_RNDNU MPC_RND (MPFR_RNDN,MPFR_RNDU) |
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#define MPC_RNDND MPC_RND (MPFR_RNDN,MPFR_RNDD) |
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|
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#define MPC_RNDZN MPC_RND (MPFR_RNDZ,MPFR_RNDN) |
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#define MPC_RNDZZ MPC_RND (MPFR_RNDZ,MPFR_RNDZ) |
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#define MPC_RNDZU MPC_RND (MPFR_RNDZ,MPFR_RNDU) |
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#define MPC_RNDZD MPC_RND (MPFR_RNDZ,MPFR_RNDD) |
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|
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#define MPC_RNDUN MPC_RND (MPFR_RNDU,MPFR_RNDN) |
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#define MPC_RNDUZ MPC_RND (MPFR_RNDU,MPFR_RNDZ) |
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#define MPC_RNDUU MPC_RND (MPFR_RNDU,MPFR_RNDU) |
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#define MPC_RNDUD MPC_RND (MPFR_RNDU,MPFR_RNDD) |
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|
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#define MPC_RNDDN MPC_RND (MPFR_RNDD,MPFR_RNDN) |
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#define MPC_RNDDZ MPC_RND (MPFR_RNDD,MPFR_RNDZ) |
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#define MPC_RNDDU MPC_RND (MPFR_RNDD,MPFR_RNDU) |
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#define MPC_RNDDD MPC_RND (MPFR_RNDD,MPFR_RNDD) |
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|
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|
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/* Definitions of types and their semantics */ |
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|
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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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|
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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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|
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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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|
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#if defined (__cplusplus) |
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extern "C" { |
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#endif |
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|
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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_sum (mpc_ptr, const mpc_ptr *, unsigned long, mpc_rnd_t); |
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__MPC_DECLSPEC int mpc_dot (mpc_ptr, const mpc_ptr *, const mpc_ptr *, unsigned long, 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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|
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__MPC_DECLSPEC void mpc_set_nan (mpc_ptr); |
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|
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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_cmp_abs (mpc_srcptr, mpc_srcptr); |
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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 int mpc_rootofunity (mpc_ptr, unsigned long int, unsigned long int, 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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|
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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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|
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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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|
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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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|
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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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|
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#define mpc_realref(x) ((x)->re) |
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#define mpc_imagref(x) ((x)->im) |
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|
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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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/* |
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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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#endif /* ifndef __MPC_H */ |
