efee5258bc
The MPFR library is a C library for multiple-precision floating-point computations with exact rounding (also called correct rounding). It is based on the GMP multiple-precision library and should replace the MPF class in further releases of GMP. GCC >= 4.2 requires MPFR.
945 lines
47 KiB
C
945 lines
47 KiB
C
/* mpfr.h -- Include file for mpfr.
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Copyright 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software Foundation, Inc.
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Contributed by the Arenaire and Cacao projects, INRIA.
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This file is part of the GNU MPFR Library.
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The GNU MPFR Library is free software; you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation; either version 3 of the License, or (at your
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option) any later version.
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The GNU MPFR Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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License for 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 the GNU MPFR Library; see the file COPYING.LESSER. If not, see
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http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
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51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
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#ifndef __MPFR_H
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#define __MPFR_H
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/* Define MPFR version number */
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#define MPFR_VERSION_MAJOR 3
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#define MPFR_VERSION_MINOR 0
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#define MPFR_VERSION_PATCHLEVEL 1
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#define MPFR_VERSION_STRING "3.0.1"
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/* Macros dealing with MPFR VERSION */
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#define MPFR_VERSION_NUM(a,b,c) (((a) << 16L) | ((b) << 8) | (c))
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#define MPFR_VERSION \
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MPFR_VERSION_NUM(MPFR_VERSION_MAJOR,MPFR_VERSION_MINOR,MPFR_VERSION_PATCHLEVEL)
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/* Check if GMP is included, and try to include it (Works with local GMP) */
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#ifndef __GMP_H__
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# include <gmp.h>
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#endif
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/* Check if stdio.h is included or if the user wants FILE */
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#if defined (_GMP_H_HAVE_FILE) || defined (MPFR_USE_FILE)
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# define _MPFR_H_HAVE_FILE 1
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#endif
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#if defined (_GMP_H_HAVE_VA_LIST)
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# define _MPFR_H_HAVE_VA_LIST 1
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#endif
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/* Check if <stdint.h> / <inttypes.h> is included or if the user
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explicitly wants intmax_t. Automatical detection is done by
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checking:
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- INTMAX_C and UINTMAX_C, but not if the compiler is a C++ one
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(as suggested by Patrick Pelissier) because the test does not
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work well in this case. See:
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http://websympa.loria.fr/wwsympa/arc/mpfr/2010-02/msg00025.html
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We do not check INTMAX_MAX and UINTMAX_MAX because under Solaris,
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these macros are always defined by <limits.h> (i.e. even when
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<stdint.h> and <inttypes.h> are not included).
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- _STDINT_H (defined by the glibc) and _STDINT_H_ (defined under
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Mac OS X), but this test may not work with all implementations.
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Portable software should not rely on these tests.
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*/
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#if (defined (INTMAX_C) && defined (UINTMAX_C) && !defined(__cplusplus)) || \
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defined (MPFR_USE_INTMAX_T) || defined (_STDINT_H) || defined (_STDINT_H_)
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# define _MPFR_H_HAVE_INTMAX_T 1
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#endif
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/* Avoid some problems with macro expansion if the user defines macros
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with the same name as keywords. By convention, identifiers and macro
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names starting with mpfr_ are reserved by MPFR. */
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typedef void mpfr_void;
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typedef int mpfr_int;
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typedef unsigned int mpfr_uint;
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typedef long mpfr_long;
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typedef unsigned long mpfr_ulong;
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typedef size_t mpfr_size_t;
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/* Definition of rounding modes (DON'T USE MPFR_RNDNA!).
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Warning! Changing the contents of this enum should be seen as an
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interface change since the old and the new types are not compatible
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(the integer type compatible with the enumerated type can even change,
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see ISO C99, 6.7.2.2#4), and in Makefile.am, AGE should be set to 0.
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MPFR_RNDU must appear just before MPFR_RNDD (see
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MPFR_IS_RNDUTEST_OR_RNDDNOTTEST in mpfr-impl.h).
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MPFR_RNDF has been added, though not implemented yet, in order to avoid
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to break the ABI once faithful rounding gets implemented.
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If you change the order of the rounding modes, please update the routines
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in texceptions.c which assume 0=RNDN, 1=RNDZ, 2=RNDU, 3=RNDD, 4=RNDA.
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*/
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typedef enum {
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MPFR_RNDN=0, /* round to nearest, with ties to even */
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MPFR_RNDZ, /* round toward zero */
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MPFR_RNDU, /* round toward +Inf */
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MPFR_RNDD, /* round toward -Inf */
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MPFR_RNDA, /* round away from zero */
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MPFR_RNDF, /* faithful rounding (not implemented yet) */
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MPFR_RNDNA=-1 /* round to nearest, with ties away from zero (mpfr_round) */
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} mpfr_rnd_t;
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/* kept for compatibility with MPFR 2.4.x and before */
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#define GMP_RNDN MPFR_RNDN
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#define GMP_RNDZ MPFR_RNDZ
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#define GMP_RNDU MPFR_RNDU
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#define GMP_RNDD MPFR_RNDD
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/* Define precision : 1 (short), 2 (int) or 3 (long) (DON'T USE IT!)*/
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#ifndef _MPFR_PREC_FORMAT
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# if __GMP_MP_SIZE_T_INT == 1
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# define _MPFR_PREC_FORMAT 2
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# else
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# define _MPFR_PREC_FORMAT 3
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# endif
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#endif
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/* Let's make mpfr_prec_t signed in order to avoid problems due to the
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usual arithmetic conversions when mixing mpfr_prec_t and mpfr_exp_t
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in an expression (for error analysis) if casts are forgotten. */
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#if _MPFR_PREC_FORMAT == 1
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typedef short mpfr_prec_t;
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typedef unsigned short mpfr_uprec_t;
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#elif _MPFR_PREC_FORMAT == 2
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typedef int mpfr_prec_t;
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typedef unsigned int mpfr_uprec_t;
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#elif _MPFR_PREC_FORMAT == 3
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typedef long mpfr_prec_t;
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typedef unsigned long mpfr_uprec_t;
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#else
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# error "Invalid MPFR Prec format"
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#endif
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/* Definition of precision limits without needing <limits.h> */
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/* Note: the casts allows the expression to yield the wanted behavior
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for _MPFR_PREC_FORMAT == 1 (due to integer promotion rules). */
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#define MPFR_PREC_MIN 2
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#define MPFR_PREC_MAX ((mpfr_prec_t)((mpfr_uprec_t)(~(mpfr_uprec_t)0)>>1))
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/* Definition of sign */
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typedef int mpfr_sign_t;
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/* Definition of the exponent: same as in GMP. */
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typedef mp_exp_t mpfr_exp_t;
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/* Definition of the standard exponent limits */
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#define MPFR_EMAX_DEFAULT ((mpfr_exp_t) (((mpfr_ulong) 1 << 30) - 1))
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#define MPFR_EMIN_DEFAULT (-(MPFR_EMAX_DEFAULT))
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/* Definition of the main structure */
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typedef struct {
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mpfr_prec_t _mpfr_prec;
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mpfr_sign_t _mpfr_sign;
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mpfr_exp_t _mpfr_exp;
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mp_limb_t *_mpfr_d;
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} __mpfr_struct;
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/* Compatibility with previous types of MPFR */
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#ifndef mp_rnd_t
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# define mp_rnd_t mpfr_rnd_t
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#endif
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#ifndef mp_prec_t
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# define mp_prec_t mpfr_prec_t
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#endif
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/*
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The represented number is
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_sign*(_d[k-1]/B+_d[k-2]/B^2+...+_d[0]/B^k)*2^_exp
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where k=ceil(_mp_prec/GMP_NUMB_BITS) and B=2^GMP_NUMB_BITS.
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For the msb (most significant bit) normalized representation, we must have
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_d[k-1]>=B/2, unless the number is singular.
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We must also have the last k*GMP_NUMB_BITS-_prec bits set to zero.
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*/
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typedef __mpfr_struct mpfr_t[1];
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typedef __mpfr_struct *mpfr_ptr;
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typedef __gmp_const __mpfr_struct *mpfr_srcptr;
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/* For those who need a direct and fast access to the sign field.
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However it is not in the API, thus use it at your own risk: it might
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not be supported, or change name, in further versions!
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Unfortunately, it must be defined here (instead of MPFR's internal
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header file mpfr-impl.h) because it is used by some macros below.
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*/
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#define MPFR_SIGN(x) ((x)->_mpfr_sign)
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/* Stack interface */
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typedef enum {
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MPFR_NAN_KIND = 0,
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MPFR_INF_KIND = 1, MPFR_ZERO_KIND = 2, MPFR_REGULAR_KIND = 3
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} mpfr_kind_t;
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/* GMP defines:
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+ size_t: Standard size_t
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+ __GMP_ATTRIBUTE_PURE Attribute for math functions.
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+ __GMP_NOTHROW For C++: can't throw .
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+ __GMP_EXTERN_INLINE Attribute for inline function.
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* __gmp_const const (Supports for K&R compiler only for mpfr.h).
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+ __GMP_DECLSPEC_EXPORT compiling to go into a DLL
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+ __GMP_DECLSPEC_IMPORT compiling to go into a application
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*/
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/* Extra MPFR defines */
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#define __MPFR_SENTINEL_ATTR
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#if defined (__GNUC__)
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# if __GNUC__ >= 4
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# undef __MPFR_SENTINEL_ATTR
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# define __MPFR_SENTINEL_ATTR __attribute__ ((sentinel))
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# endif
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#endif
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/* Prototypes: Support of K&R compiler */
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#if defined (__GMP_PROTO)
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# define _MPFR_PROTO __GMP_PROTO
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#elif defined (__STDC__) || defined (__cplusplus)
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# define _MPFR_PROTO(x) x
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#else
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# define _MPFR_PROTO(x) ()
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#endif
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/* Support for WINDOWS Dll:
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Check if we are inside a MPFR build, and if so export the functions.
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Otherwise does the same thing as GMP */
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#if defined(__MPFR_WITHIN_MPFR) && __GMP_LIBGMP_DLL
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# define __MPFR_DECLSPEC __GMP_DECLSPEC_EXPORT
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#else
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# define __MPFR_DECLSPEC __GMP_DECLSPEC
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#endif
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/* Note: In order to be declared, some functions need a specific
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system header to be included *before* "mpfr.h". If the user
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forgets to include the header, the MPFR function prototype in
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the user object file is not correct. To avoid wrong results,
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we raise a linker error in that case by changing their internal
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name in the library (prefixed by __gmpfr instead of mpfr). See
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the lines of the form "#define mpfr_xxx __gmpfr_xxx" below. */
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#if defined (__cplusplus)
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extern "C" {
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#endif
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__MPFR_DECLSPEC __gmp_const char * mpfr_get_version _MPFR_PROTO ((void));
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__MPFR_DECLSPEC __gmp_const char * mpfr_get_patches _MPFR_PROTO ((void));
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__MPFR_DECLSPEC int mpfr_buildopt_tls_p _MPFR_PROTO ((void));
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__MPFR_DECLSPEC int mpfr_buildopt_decimal_p _MPFR_PROTO ((void));
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__MPFR_DECLSPEC mpfr_exp_t mpfr_get_emin _MPFR_PROTO ((void));
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__MPFR_DECLSPEC int mpfr_set_emin _MPFR_PROTO ((mpfr_exp_t));
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__MPFR_DECLSPEC mpfr_exp_t mpfr_get_emin_min _MPFR_PROTO ((void));
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__MPFR_DECLSPEC mpfr_exp_t mpfr_get_emin_max _MPFR_PROTO ((void));
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__MPFR_DECLSPEC mpfr_exp_t mpfr_get_emax _MPFR_PROTO ((void));
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__MPFR_DECLSPEC int mpfr_set_emax _MPFR_PROTO ((mpfr_exp_t));
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__MPFR_DECLSPEC mpfr_exp_t mpfr_get_emax_min _MPFR_PROTO ((void));
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__MPFR_DECLSPEC mpfr_exp_t mpfr_get_emax_max _MPFR_PROTO ((void));
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__MPFR_DECLSPEC void mpfr_set_default_rounding_mode _MPFR_PROTO((mpfr_rnd_t));
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__MPFR_DECLSPEC mpfr_rnd_t mpfr_get_default_rounding_mode _MPFR_PROTO((void));
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__MPFR_DECLSPEC __gmp_const char *
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mpfr_print_rnd_mode _MPFR_PROTO((mpfr_rnd_t));
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__MPFR_DECLSPEC void mpfr_clear_flags _MPFR_PROTO ((void));
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__MPFR_DECLSPEC void mpfr_clear_underflow _MPFR_PROTO ((void));
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__MPFR_DECLSPEC void mpfr_clear_overflow _MPFR_PROTO ((void));
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__MPFR_DECLSPEC void mpfr_clear_nanflag _MPFR_PROTO ((void));
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__MPFR_DECLSPEC void mpfr_clear_inexflag _MPFR_PROTO ((void));
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__MPFR_DECLSPEC void mpfr_clear_erangeflag _MPFR_PROTO ((void));
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__MPFR_DECLSPEC void mpfr_set_underflow _MPFR_PROTO ((void));
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__MPFR_DECLSPEC void mpfr_set_overflow _MPFR_PROTO ((void));
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__MPFR_DECLSPEC void mpfr_set_nanflag _MPFR_PROTO ((void));
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__MPFR_DECLSPEC void mpfr_set_inexflag _MPFR_PROTO ((void));
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__MPFR_DECLSPEC void mpfr_set_erangeflag _MPFR_PROTO ((void));
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__MPFR_DECLSPEC int mpfr_underflow_p _MPFR_PROTO ((void));
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__MPFR_DECLSPEC int mpfr_overflow_p _MPFR_PROTO ((void));
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__MPFR_DECLSPEC int mpfr_nanflag_p _MPFR_PROTO ((void));
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__MPFR_DECLSPEC int mpfr_inexflag_p _MPFR_PROTO ((void));
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__MPFR_DECLSPEC int mpfr_erangeflag_p _MPFR_PROTO ((void));
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__MPFR_DECLSPEC int
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mpfr_check_range _MPFR_PROTO ((mpfr_ptr, int, mpfr_rnd_t));
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__MPFR_DECLSPEC void mpfr_init2 _MPFR_PROTO ((mpfr_ptr, mpfr_prec_t));
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__MPFR_DECLSPEC void mpfr_init _MPFR_PROTO ((mpfr_ptr));
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__MPFR_DECLSPEC void mpfr_clear _MPFR_PROTO ((mpfr_ptr));
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__MPFR_DECLSPEC void
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mpfr_inits2 _MPFR_PROTO ((mpfr_prec_t, mpfr_ptr, ...)) __MPFR_SENTINEL_ATTR;
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__MPFR_DECLSPEC void
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mpfr_inits _MPFR_PROTO ((mpfr_ptr, ...)) __MPFR_SENTINEL_ATTR;
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__MPFR_DECLSPEC void
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mpfr_clears _MPFR_PROTO ((mpfr_ptr, ...)) __MPFR_SENTINEL_ATTR;
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__MPFR_DECLSPEC int
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mpfr_prec_round _MPFR_PROTO ((mpfr_ptr, mpfr_prec_t, mpfr_rnd_t));
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__MPFR_DECLSPEC int
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mpfr_can_round _MPFR_PROTO ((mpfr_srcptr, mpfr_exp_t, mpfr_rnd_t, mpfr_rnd_t,
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mpfr_prec_t));
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__MPFR_DECLSPEC mpfr_prec_t mpfr_min_prec _MPFR_PROTO ((mpfr_srcptr));
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__MPFR_DECLSPEC mpfr_exp_t mpfr_get_exp _MPFR_PROTO ((mpfr_srcptr));
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__MPFR_DECLSPEC int mpfr_set_exp _MPFR_PROTO ((mpfr_ptr, mpfr_exp_t));
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__MPFR_DECLSPEC mpfr_prec_t mpfr_get_prec _MPFR_PROTO((mpfr_srcptr));
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__MPFR_DECLSPEC void mpfr_set_prec _MPFR_PROTO((mpfr_ptr, mpfr_prec_t));
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__MPFR_DECLSPEC void mpfr_set_prec_raw _MPFR_PROTO((mpfr_ptr, mpfr_prec_t));
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__MPFR_DECLSPEC void mpfr_set_default_prec _MPFR_PROTO((mpfr_prec_t));
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__MPFR_DECLSPEC mpfr_prec_t mpfr_get_default_prec _MPFR_PROTO((void));
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__MPFR_DECLSPEC int mpfr_set_d _MPFR_PROTO ((mpfr_ptr, double, mpfr_rnd_t));
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__MPFR_DECLSPEC int mpfr_set_flt _MPFR_PROTO ((mpfr_ptr, float, mpfr_rnd_t));
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#ifdef MPFR_WANT_DECIMAL_FLOATS
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__MPFR_DECLSPEC int mpfr_set_decimal64 _MPFR_PROTO ((mpfr_ptr, _Decimal64,
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mpfr_rnd_t));
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#endif
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__MPFR_DECLSPEC int
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mpfr_set_ld _MPFR_PROTO ((mpfr_ptr, long double, mpfr_rnd_t));
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__MPFR_DECLSPEC int
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mpfr_set_z _MPFR_PROTO ((mpfr_ptr, mpz_srcptr, mpfr_rnd_t));
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__MPFR_DECLSPEC int
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mpfr_set_z_2exp _MPFR_PROTO ((mpfr_ptr, mpz_srcptr, mpfr_exp_t, mpfr_rnd_t));
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__MPFR_DECLSPEC void mpfr_set_nan _MPFR_PROTO ((mpfr_ptr));
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__MPFR_DECLSPEC void mpfr_set_inf _MPFR_PROTO ((mpfr_ptr, int));
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__MPFR_DECLSPEC void mpfr_set_zero _MPFR_PROTO ((mpfr_ptr, int));
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__MPFR_DECLSPEC int
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mpfr_set_f _MPFR_PROTO ((mpfr_ptr, mpf_srcptr, mpfr_rnd_t));
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__MPFR_DECLSPEC int
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mpfr_get_f _MPFR_PROTO ((mpf_ptr, mpfr_srcptr, mpfr_rnd_t));
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__MPFR_DECLSPEC int mpfr_set_si _MPFR_PROTO ((mpfr_ptr, long, mpfr_rnd_t));
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__MPFR_DECLSPEC int
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mpfr_set_ui _MPFR_PROTO ((mpfr_ptr, unsigned long, mpfr_rnd_t));
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__MPFR_DECLSPEC int
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mpfr_set_si_2exp _MPFR_PROTO ((mpfr_ptr, long, mpfr_exp_t, mpfr_rnd_t));
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__MPFR_DECLSPEC int
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mpfr_set_ui_2exp _MPFR_PROTO ((mpfr_ptr,unsigned long,mpfr_exp_t,mpfr_rnd_t));
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__MPFR_DECLSPEC int
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mpfr_set_q _MPFR_PROTO ((mpfr_ptr, mpq_srcptr, mpfr_rnd_t));
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__MPFR_DECLSPEC int
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mpfr_set_str _MPFR_PROTO ((mpfr_ptr, __gmp_const char *, int, mpfr_rnd_t));
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__MPFR_DECLSPEC int
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mpfr_init_set_str _MPFR_PROTO ((mpfr_ptr, __gmp_const char *, int,
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mpfr_rnd_t));
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__MPFR_DECLSPEC int
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mpfr_set4 _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_rnd_t, int));
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__MPFR_DECLSPEC int
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mpfr_abs _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_rnd_t));
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__MPFR_DECLSPEC int
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mpfr_set _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_rnd_t));
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__MPFR_DECLSPEC int mpfr_neg _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_rnd_t));
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__MPFR_DECLSPEC int mpfr_signbit _MPFR_PROTO ((mpfr_srcptr));
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__MPFR_DECLSPEC int
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mpfr_setsign _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr, int, mpfr_rnd_t));
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__MPFR_DECLSPEC int
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mpfr_copysign _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_srcptr, mpfr_rnd_t));
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#ifdef _MPFR_H_HAVE_INTMAX_T
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#define mpfr_set_sj __gmpfr_set_sj
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#define mpfr_set_sj_2exp __gmpfr_set_sj_2exp
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#define mpfr_set_uj __gmpfr_set_uj
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#define mpfr_set_uj_2exp __gmpfr_set_uj_2exp
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#define mpfr_get_sj __gmpfr_mpfr_get_sj
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#define mpfr_get_uj __gmpfr_mpfr_get_uj
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__MPFR_DECLSPEC int mpfr_set_sj _MPFR_PROTO ((mpfr_t, intmax_t, mpfr_rnd_t));
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__MPFR_DECLSPEC int
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mpfr_set_sj_2exp _MPFR_PROTO ((mpfr_t, intmax_t, intmax_t, mpfr_rnd_t));
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__MPFR_DECLSPEC int mpfr_set_uj _MPFR_PROTO ((mpfr_t, uintmax_t, mpfr_rnd_t));
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__MPFR_DECLSPEC int
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mpfr_set_uj_2exp _MPFR_PROTO ((mpfr_t, uintmax_t, intmax_t, mpfr_rnd_t));
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__MPFR_DECLSPEC intmax_t mpfr_get_sj _MPFR_PROTO ((mpfr_srcptr, mpfr_rnd_t));
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__MPFR_DECLSPEC uintmax_t mpfr_get_uj _MPFR_PROTO ((mpfr_srcptr, mpfr_rnd_t));
|
|
#endif
|
|
|
|
__MPFR_DECLSPEC mpfr_exp_t mpfr_get_z_2exp _MPFR_PROTO ((mpz_ptr, mpfr_srcptr));
|
|
__MPFR_DECLSPEC float mpfr_get_flt _MPFR_PROTO ((mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC double mpfr_get_d _MPFR_PROTO ((mpfr_srcptr, mpfr_rnd_t));
|
|
#ifdef MPFR_WANT_DECIMAL_FLOATS
|
|
__MPFR_DECLSPEC _Decimal64 mpfr_get_decimal64 _MPFR_PROTO ((mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
#endif
|
|
__MPFR_DECLSPEC long double mpfr_get_ld _MPFR_PROTO ((mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
__MPFR_DECLSPEC double mpfr_get_d1 _MPFR_PROTO ((mpfr_srcptr));
|
|
__MPFR_DECLSPEC double mpfr_get_d_2exp _MPFR_PROTO ((long*, mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
__MPFR_DECLSPEC long double mpfr_get_ld_2exp _MPFR_PROTO ((long*, mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
__MPFR_DECLSPEC long mpfr_get_si _MPFR_PROTO ((mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC unsigned long mpfr_get_ui _MPFR_PROTO ((mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
__MPFR_DECLSPEC char*mpfr_get_str _MPFR_PROTO ((char*, mpfr_exp_t*, int, size_t,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_get_z _MPFR_PROTO ((mpz_ptr z, mpfr_srcptr f,
|
|
mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC void mpfr_free_str _MPFR_PROTO ((char *));
|
|
|
|
__MPFR_DECLSPEC int mpfr_urandom _MPFR_PROTO ((mpfr_ptr, gmp_randstate_t,
|
|
mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_urandomb _MPFR_PROTO ((mpfr_ptr, gmp_randstate_t));
|
|
|
|
__MPFR_DECLSPEC void mpfr_nextabove _MPFR_PROTO ((mpfr_ptr));
|
|
__MPFR_DECLSPEC void mpfr_nextbelow _MPFR_PROTO ((mpfr_ptr));
|
|
__MPFR_DECLSPEC void mpfr_nexttoward _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr));
|
|
|
|
#ifdef _MPFR_H_HAVE_FILE
|
|
#define mpfr_inp_str __gmpfr_inp_str
|
|
#define mpfr_out_str __gmpfr_out_str
|
|
__MPFR_DECLSPEC size_t mpfr_inp_str _MPFR_PROTO ((mpfr_ptr, FILE*, int,
|
|
mpfr_rnd_t));
|
|
__MPFR_DECLSPEC size_t mpfr_out_str _MPFR_PROTO ((FILE*, int, size_t,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
#define mpfr_fprintf __gmpfr_fprintf
|
|
__MPFR_DECLSPEC int mpfr_fprintf _MPFR_PROTO ((FILE*, __gmp_const char*,
|
|
...));
|
|
#endif
|
|
__MPFR_DECLSPEC int mpfr_printf _MPFR_PROTO ((__gmp_const char*, ...));
|
|
__MPFR_DECLSPEC int mpfr_asprintf _MPFR_PROTO ((char**, __gmp_const char*,
|
|
...));
|
|
__MPFR_DECLSPEC int mpfr_sprintf _MPFR_PROTO ((char*, __gmp_const char*,
|
|
...));
|
|
__MPFR_DECLSPEC int mpfr_snprintf _MPFR_PROTO ((char*, size_t,
|
|
__gmp_const char*, ...));
|
|
|
|
#ifdef _MPFR_H_HAVE_VA_LIST
|
|
#ifdef _MPFR_H_HAVE_FILE
|
|
#define mpfr_vfprintf __gmpfr_vfprintf
|
|
__MPFR_DECLSPEC int mpfr_vfprintf _MPFR_PROTO ((FILE*, __gmp_const char*,
|
|
va_list));
|
|
#endif /* _MPFR_H_HAVE_FILE */
|
|
#define mpfr_vprintf __gmpfr_vprintf
|
|
#define mpfr_vasprintf __gmpfr_vasprintf
|
|
#define mpfr_vsprintf __gmpfr_vsprintf
|
|
#define mpfr_vsnprintf __gmpfr_vsnprintf
|
|
__MPFR_DECLSPEC int mpfr_vprintf _MPFR_PROTO ((__gmp_const char*, va_list));
|
|
__MPFR_DECLSPEC int mpfr_vasprintf _MPFR_PROTO ((char**, __gmp_const char*,
|
|
va_list));
|
|
__MPFR_DECLSPEC int mpfr_vsprintf _MPFR_PROTO ((char*, __gmp_const char*,
|
|
va_list));
|
|
__MPFR_DECLSPEC int mpfr_vsnprintf _MPFR_PROTO ((char*, size_t,
|
|
__gmp_const char*, va_list));
|
|
#endif /* _MPFR_H_HAVE_VA_LIST */
|
|
|
|
__MPFR_DECLSPEC int mpfr_pow _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_pow_si _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
long int, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_pow_ui _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
unsigned long int, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_ui_pow_ui _MPFR_PROTO ((mpfr_ptr, unsigned long int,
|
|
unsigned long int, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_ui_pow _MPFR_PROTO ((mpfr_ptr, unsigned long int,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_pow_z _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpz_srcptr, mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC int mpfr_sqrt _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_sqrt_ui _MPFR_PROTO ((mpfr_ptr, unsigned long,
|
|
mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_rec_sqrt _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC int mpfr_add _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_sub _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_mul _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_div _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC int mpfr_add_ui _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
unsigned long, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_sub_ui _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
unsigned long, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_ui_sub _MPFR_PROTO ((mpfr_ptr, unsigned long,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_mul_ui _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
unsigned long, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_div_ui _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
unsigned long, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_ui_div _MPFR_PROTO ((mpfr_ptr, unsigned long,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC int mpfr_add_si _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
long int, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_sub_si _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
long int, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_si_sub _MPFR_PROTO ((mpfr_ptr, long int,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_mul_si _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
long int, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_div_si _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
long int, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_si_div _MPFR_PROTO ((mpfr_ptr, long int,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC int mpfr_add_d _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
double, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_sub_d _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
double, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_d_sub _MPFR_PROTO ((mpfr_ptr, double,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_mul_d _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
double, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_div_d _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
double, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_d_div _MPFR_PROTO ((mpfr_ptr, double,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC int mpfr_sqr _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC int mpfr_const_pi _MPFR_PROTO ((mpfr_ptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_const_log2 _MPFR_PROTO ((mpfr_ptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_const_euler _MPFR_PROTO ((mpfr_ptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_const_catalan _MPFR_PROTO ((mpfr_ptr, mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC int mpfr_agm _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC int mpfr_log _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_log2 _MPFR_PROTO ((mpfr_ptr,mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_log10 _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_log1p _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC int mpfr_exp _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_exp2 _MPFR_PROTO ((mpfr_ptr,mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_exp10 _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_expm1 _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_eint _MPFR_PROTO ((mpfr_ptr,mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_li2 _MPFR_PROTO ((mpfr_ptr,mpfr_srcptr,mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC int mpfr_cmp _MPFR_PROTO ((mpfr_srcptr, mpfr_srcptr));
|
|
__MPFR_DECLSPEC int mpfr_cmp3 _MPFR_PROTO ((mpfr_srcptr, mpfr_srcptr, int));
|
|
__MPFR_DECLSPEC int mpfr_cmp_d _MPFR_PROTO ((mpfr_srcptr, double));
|
|
__MPFR_DECLSPEC int mpfr_cmp_ld _MPFR_PROTO ((mpfr_srcptr, long double));
|
|
__MPFR_DECLSPEC int mpfr_cmpabs _MPFR_PROTO ((mpfr_srcptr, mpfr_srcptr));
|
|
__MPFR_DECLSPEC int mpfr_cmp_ui _MPFR_PROTO ((mpfr_srcptr, unsigned long));
|
|
__MPFR_DECLSPEC int mpfr_cmp_si _MPFR_PROTO ((mpfr_srcptr, long));
|
|
__MPFR_DECLSPEC int mpfr_cmp_ui_2exp _MPFR_PROTO ((mpfr_srcptr, unsigned long,
|
|
mpfr_exp_t));
|
|
__MPFR_DECLSPEC int mpfr_cmp_si_2exp _MPFR_PROTO ((mpfr_srcptr, long,
|
|
mpfr_exp_t));
|
|
__MPFR_DECLSPEC void mpfr_reldiff _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_eq _MPFR_PROTO((mpfr_srcptr, mpfr_srcptr,
|
|
unsigned long));
|
|
__MPFR_DECLSPEC int mpfr_sgn _MPFR_PROTO ((mpfr_srcptr));
|
|
|
|
__MPFR_DECLSPEC int mpfr_mul_2exp _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
unsigned long, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_div_2exp _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
unsigned long, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_mul_2ui _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
unsigned long, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_div_2ui _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
unsigned long, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_mul_2si _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
long, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_div_2si _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
long, mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC int mpfr_rint _MPFR_PROTO((mpfr_ptr,mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_round _MPFR_PROTO((mpfr_ptr, mpfr_srcptr));
|
|
__MPFR_DECLSPEC int mpfr_trunc _MPFR_PROTO((mpfr_ptr, mpfr_srcptr));
|
|
__MPFR_DECLSPEC int mpfr_ceil _MPFR_PROTO((mpfr_ptr, mpfr_srcptr));
|
|
__MPFR_DECLSPEC int mpfr_floor _MPFR_PROTO((mpfr_ptr, mpfr_srcptr));
|
|
__MPFR_DECLSPEC int mpfr_rint_round _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_rint_trunc _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_rint_ceil _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_rint_floor _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_frac _MPFR_PROTO ((mpfr_ptr,mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_modf _MPFR_PROTO ((mpfr_ptr, mpfr_ptr, mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_remquo _MPFR_PROTO ((mpfr_ptr, long*, mpfr_srcptr,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_remainder _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_fmod _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC int mpfr_fits_ulong_p _MPFR_PROTO((mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_fits_slong_p _MPFR_PROTO((mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_fits_uint_p _MPFR_PROTO((mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_fits_sint_p _MPFR_PROTO((mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_fits_ushort_p _MPFR_PROTO((mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_fits_sshort_p _MPFR_PROTO((mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_fits_uintmax_p _MPFR_PROTO((mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_fits_intmax_p _MPFR_PROTO((mpfr_srcptr, mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC void mpfr_extract _MPFR_PROTO ((mpz_ptr, mpfr_srcptr,
|
|
unsigned int));
|
|
__MPFR_DECLSPEC void mpfr_swap _MPFR_PROTO ((mpfr_ptr, mpfr_ptr));
|
|
__MPFR_DECLSPEC void mpfr_dump _MPFR_PROTO ((mpfr_srcptr));
|
|
|
|
__MPFR_DECLSPEC int mpfr_nan_p _MPFR_PROTO((mpfr_srcptr));
|
|
__MPFR_DECLSPEC int mpfr_inf_p _MPFR_PROTO((mpfr_srcptr));
|
|
__MPFR_DECLSPEC int mpfr_number_p _MPFR_PROTO((mpfr_srcptr));
|
|
__MPFR_DECLSPEC int mpfr_integer_p _MPFR_PROTO ((mpfr_srcptr));
|
|
__MPFR_DECLSPEC int mpfr_zero_p _MPFR_PROTO ((mpfr_srcptr));
|
|
__MPFR_DECLSPEC int mpfr_regular_p _MPFR_PROTO ((mpfr_srcptr));
|
|
|
|
__MPFR_DECLSPEC int mpfr_greater_p _MPFR_PROTO ((mpfr_srcptr, mpfr_srcptr));
|
|
__MPFR_DECLSPEC int mpfr_greaterequal_p _MPFR_PROTO ((mpfr_srcptr,
|
|
mpfr_srcptr));
|
|
__MPFR_DECLSPEC int mpfr_less_p _MPFR_PROTO ((mpfr_srcptr, mpfr_srcptr));
|
|
__MPFR_DECLSPEC int mpfr_lessequal_p _MPFR_PROTO ((mpfr_srcptr, mpfr_srcptr));
|
|
__MPFR_DECLSPEC int mpfr_lessgreater_p _MPFR_PROTO((mpfr_srcptr,mpfr_srcptr));
|
|
__MPFR_DECLSPEC int mpfr_equal_p _MPFR_PROTO ((mpfr_srcptr, mpfr_srcptr));
|
|
__MPFR_DECLSPEC int mpfr_unordered_p _MPFR_PROTO ((mpfr_srcptr, mpfr_srcptr));
|
|
|
|
__MPFR_DECLSPEC int mpfr_atanh _MPFR_PROTO((mpfr_ptr,mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_acosh _MPFR_PROTO((mpfr_ptr,mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_asinh _MPFR_PROTO((mpfr_ptr,mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_cosh _MPFR_PROTO((mpfr_ptr,mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_sinh _MPFR_PROTO((mpfr_ptr,mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_tanh _MPFR_PROTO((mpfr_ptr,mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_sinh_cosh _MPFR_PROTO ((mpfr_ptr, mpfr_ptr,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC int mpfr_sech _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_csch _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_coth _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC int mpfr_acos _MPFR_PROTO ((mpfr_ptr,mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_asin _MPFR_PROTO ((mpfr_ptr,mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_atan _MPFR_PROTO ((mpfr_ptr,mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_sin _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_sin_cos _MPFR_PROTO ((mpfr_ptr, mpfr_ptr,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_cos _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_tan _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_atan2 _MPFR_PROTO ((mpfr_ptr,mpfr_srcptr,mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_sec _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_csc _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_cot _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC int mpfr_hypot _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_erf _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_erfc _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_cbrt _MPFR_PROTO ((mpfr_ptr,mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_root _MPFR_PROTO ((mpfr_ptr,mpfr_srcptr,unsigned long,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_gamma _MPFR_PROTO((mpfr_ptr,mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_lngamma _MPFR_PROTO((mpfr_ptr,mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_lgamma _MPFR_PROTO((mpfr_ptr,int*,mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_digamma _MPFR_PROTO((mpfr_ptr,mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_zeta _MPFR_PROTO ((mpfr_ptr,mpfr_srcptr,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_zeta_ui _MPFR_PROTO ((mpfr_ptr,unsigned long,mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_fac_ui _MPFR_PROTO ((mpfr_ptr, unsigned long int,
|
|
mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_j0 _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_j1 _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_jn _MPFR_PROTO ((mpfr_ptr, long, mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_y0 _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_y1 _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_yn _MPFR_PROTO ((mpfr_ptr, long, mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC int mpfr_ai _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC int mpfr_min _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_max _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_dim _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_srcptr,
|
|
mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC int mpfr_mul_z _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpz_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_div_z _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpz_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_add_z _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpz_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_sub_z _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpz_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_cmp_z _MPFR_PROTO ((mpfr_srcptr, mpz_srcptr));
|
|
|
|
__MPFR_DECLSPEC int mpfr_mul_q _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpq_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_div_q _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpq_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_add_q _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpq_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_sub_q _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr,
|
|
mpq_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_cmp_q _MPFR_PROTO ((mpfr_srcptr, mpq_srcptr));
|
|
|
|
__MPFR_DECLSPEC int mpfr_cmp_f _MPFR_PROTO ((mpfr_srcptr, mpf_srcptr));
|
|
|
|
__MPFR_DECLSPEC int mpfr_fma _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_srcptr,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_fms _MPFR_PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_srcptr,
|
|
mpfr_srcptr, mpfr_rnd_t));
|
|
__MPFR_DECLSPEC int mpfr_sum _MPFR_PROTO ((mpfr_ptr, mpfr_ptr *__gmp_const,
|
|
unsigned long, mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC void mpfr_free_cache _MPFR_PROTO ((void));
|
|
|
|
__MPFR_DECLSPEC int mpfr_subnormalize _MPFR_PROTO ((mpfr_ptr, int,
|
|
mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC int mpfr_strtofr _MPFR_PROTO ((mpfr_ptr, __gmp_const char *,
|
|
char **, int, mpfr_rnd_t));
|
|
|
|
__MPFR_DECLSPEC size_t mpfr_custom_get_size _MPFR_PROTO ((mpfr_prec_t));
|
|
__MPFR_DECLSPEC void mpfr_custom_init _MPFR_PROTO ((void *, mpfr_prec_t));
|
|
__MPFR_DECLSPEC void * mpfr_custom_get_significand _MPFR_PROTO ((mpfr_srcptr));
|
|
__MPFR_DECLSPEC mpfr_exp_t mpfr_custom_get_exp _MPFR_PROTO ((mpfr_srcptr));
|
|
__MPFR_DECLSPEC void mpfr_custom_move _MPFR_PROTO ((mpfr_ptr, void *));
|
|
__MPFR_DECLSPEC void mpfr_custom_init_set _MPFR_PROTO ((mpfr_ptr, int,
|
|
mpfr_exp_t, mpfr_prec_t, void *));
|
|
__MPFR_DECLSPEC int mpfr_custom_get_kind _MPFR_PROTO ((mpfr_srcptr));
|
|
|
|
#if defined (__cplusplus)
|
|
}
|
|
#endif
|
|
|
|
/* DON'T USE THIS! (For MPFR-public macros only, see below.)
|
|
The mpfr_sgn macro uses the fact that __MPFR_EXP_NAN and __MPFR_EXP_ZERO
|
|
are the smallest values.
|
|
FIXME: In the following macros, the cast of an unsigned type with MSB set
|
|
to the signed type mpfr_exp_t yields an integer overflow, which can give
|
|
unexpected results with future compilers and aggressive optimisations.
|
|
Why not working only with signed types, using INT_MIN and LONG_MIN? */
|
|
#if __GMP_MP_SIZE_T_INT
|
|
#define __MPFR_EXP_NAN ((mpfr_exp_t)((~((~(mpfr_uint)0)>>1))+2))
|
|
#define __MPFR_EXP_ZERO ((mpfr_exp_t)((~((~(mpfr_uint)0)>>1))+1))
|
|
#define __MPFR_EXP_INF ((mpfr_exp_t)((~((~(mpfr_uint)0)>>1))+3))
|
|
#else
|
|
#define __MPFR_EXP_NAN ((mpfr_exp_t)((~((~(mpfr_ulong)0)>>1))+2))
|
|
#define __MPFR_EXP_ZERO ((mpfr_exp_t)((~((~(mpfr_ulong)0)>>1))+1))
|
|
#define __MPFR_EXP_INF ((mpfr_exp_t)((~((~(mpfr_ulong)0)>>1))+3))
|
|
#endif
|
|
|
|
/* Define MPFR_USE_EXTENSION to avoid "gcc -pedantic" warnings. */
|
|
#ifndef MPFR_EXTENSION
|
|
# if defined(MPFR_USE_EXTENSION)
|
|
# define MPFR_EXTENSION __extension__
|
|
# else
|
|
# define MPFR_EXTENSION
|
|
# endif
|
|
#endif
|
|
|
|
/* Warning! This macro doesn't work with K&R C (e.g., compare the "gcc -E"
|
|
output with and without -traditional) and shouldn't be used internally.
|
|
For public use only, but see the MPFR manual. */
|
|
#define MPFR_DECL_INIT(_x, _p) \
|
|
MPFR_EXTENSION mp_limb_t __gmpfr_local_tab_##_x[((_p)-1)/GMP_NUMB_BITS+1]; \
|
|
MPFR_EXTENSION mpfr_t _x = {{(_p),1,__MPFR_EXP_NAN,__gmpfr_local_tab_##_x}}
|
|
|
|
/* Fast access macros to replace function interface.
|
|
If the USER don't want to use the macro interface, let him make happy
|
|
even if it produces faster and smaller code. */
|
|
#ifndef MPFR_USE_NO_MACRO
|
|
|
|
/* Inlining theses functions is both faster and smaller */
|
|
#define mpfr_nan_p(_x) ((_x)->_mpfr_exp == __MPFR_EXP_NAN)
|
|
#define mpfr_inf_p(_x) ((_x)->_mpfr_exp == __MPFR_EXP_INF)
|
|
#define mpfr_zero_p(_x) ((_x)->_mpfr_exp == __MPFR_EXP_ZERO)
|
|
#define mpfr_regular_p(_x) ((_x)->_mpfr_exp > __MPFR_EXP_INF)
|
|
#define mpfr_sgn(_x) \
|
|
((_x)->_mpfr_exp < __MPFR_EXP_INF ? \
|
|
(mpfr_nan_p (_x) ? mpfr_set_erangeflag () : (mpfr_void) 0), 0 : \
|
|
MPFR_SIGN (_x))
|
|
|
|
/* Prevent them from using as lvalues */
|
|
#define MPFR_VALUE_OF(x) (0 ? (x) : (x))
|
|
#define mpfr_get_prec(_x) MPFR_VALUE_OF((_x)->_mpfr_prec)
|
|
#define mpfr_get_exp(_x) MPFR_VALUE_OF((_x)->_mpfr_exp)
|
|
/* Note: if need be, the MPFR_VALUE_OF can be used for other expressions
|
|
(of any type). Thanks to Wojtek Lerch and Tim Rentsch for the idea. */
|
|
|
|
#define mpfr_round(a,b) mpfr_rint((a), (b), MPFR_RNDNA)
|
|
#define mpfr_trunc(a,b) mpfr_rint((a), (b), MPFR_RNDZ)
|
|
#define mpfr_ceil(a,b) mpfr_rint((a), (b), MPFR_RNDU)
|
|
#define mpfr_floor(a,b) mpfr_rint((a), (b), MPFR_RNDD)
|
|
|
|
#define mpfr_cmp_ui(b,i) mpfr_cmp_ui_2exp((b),(i),0)
|
|
#define mpfr_cmp_si(b,i) mpfr_cmp_si_2exp((b),(i),0)
|
|
#define mpfr_set(a,b,r) mpfr_set4(a,b,r,MPFR_SIGN(b))
|
|
#define mpfr_abs(a,b,r) mpfr_set4(a,b,r,1)
|
|
#define mpfr_copysign(a,b,c,r) mpfr_set4(a,b,r,MPFR_SIGN(c))
|
|
#define mpfr_setsign(a,b,s,r) mpfr_set4(a,b,r,(s) ? -1 : 1)
|
|
#define mpfr_signbit(x) (MPFR_SIGN(x) < 0)
|
|
#define mpfr_cmp(b, c) mpfr_cmp3(b, c, 1)
|
|
#define mpfr_mul_2exp(y,x,n,r) mpfr_mul_2ui((y),(x),(n),(r))
|
|
#define mpfr_div_2exp(y,x,n,r) mpfr_div_2ui((y),(x),(n),(r))
|
|
|
|
|
|
/* When using GCC, optimize certain common comparisons and affectations.
|
|
+ Remove ICC since it defines __GNUC__ but produces a
|
|
huge number of warnings if you use this code.
|
|
VL: I couldn't reproduce a single warning when enabling these macros
|
|
with icc 10.1 20080212 on Itanium. But with this version, __ICC isn't
|
|
defined (__INTEL_COMPILER is, though), so that these macros are enabled
|
|
anyway. Checking with other ICC versions is needed. Possibly detect
|
|
whether warnings are produced or not with a configure test.
|
|
+ Remove C++ too, since it complains too much. */
|
|
/* Added casts to improve robustness in case of undefined behavior and
|
|
compiler extensions based on UB (in particular -fwrapv). MPFR doesn't
|
|
use such extensions, but these macros will be used by 3rd-party code,
|
|
where such extensions may be required.
|
|
Moreover casts to unsigned long have been added to avoid warnings in
|
|
programs that use MPFR and are compiled with -Wconversion; such casts
|
|
are OK since if X is a constant expression, then (unsigned long) X is
|
|
also a constant expression, so that the optimizations still work. The
|
|
warnings are probably related to the following two bugs:
|
|
http://gcc.gnu.org/bugzilla/show_bug.cgi?id=4210
|
|
http://gcc.gnu.org/bugzilla/show_bug.cgi?id=38470 (possibly a variant)
|
|
and the casts could be removed once these bugs are fixed.
|
|
Casts shouldn't be used on the generic calls (to the ..._2exp functions),
|
|
where implicit conversions are performed. Indeed, having at least one
|
|
implicit conversion in the macro allows the compiler to emit diagnostics
|
|
when normally expected, for instance in the following call:
|
|
mpfr_set_ui (x, "foo", MPFR_RNDN);
|
|
If this is not possible (for future macros), one of the tricks described
|
|
on http://groups.google.com/group/comp.std.c/msg/e92abd24bf9eaf7b could
|
|
be used. */
|
|
#if defined (__GNUC__) && !defined(__ICC) && !defined(__cplusplus)
|
|
#if (__GNUC__ >= 2)
|
|
#undef mpfr_cmp_ui
|
|
/* We use the fact that mpfr_sgn on NaN sets the erange flag and returns 0.
|
|
But warning! mpfr_sgn is specified as a macro in the API, thus the macro
|
|
mustn't be used if side effects are possible, like here. */
|
|
#define mpfr_cmp_ui(_f,_u) \
|
|
(__builtin_constant_p (_u) && (mpfr_ulong) (_u) == 0 ? \
|
|
(mpfr_sgn) (_f) : \
|
|
mpfr_cmp_ui_2exp ((_f), (_u), 0))
|
|
#undef mpfr_cmp_si
|
|
#define mpfr_cmp_si(_f,_s) \
|
|
(__builtin_constant_p (_s) && (mpfr_long) (_s) >= 0 ? \
|
|
mpfr_cmp_ui ((_f), (mpfr_ulong) (mpfr_long) (_s)) : \
|
|
mpfr_cmp_si_2exp ((_f), (_s), 0))
|
|
#if __GNUC__ > 2 || __GNUC_MINOR__ >= 95
|
|
#undef mpfr_set_ui
|
|
#define mpfr_set_ui(_f,_u,_r) \
|
|
(__builtin_constant_p (_u) && (mpfr_ulong) (_u) == 0 ? \
|
|
__extension__ ({ \
|
|
mpfr_ptr _p = (_f); \
|
|
_p->_mpfr_sign = 1; \
|
|
_p->_mpfr_exp = __MPFR_EXP_ZERO; \
|
|
(mpfr_void) (_r); 0; }) : \
|
|
mpfr_set_ui_2exp ((_f), (_u), 0, (_r)))
|
|
#endif
|
|
#undef mpfr_set_si
|
|
#define mpfr_set_si(_f,_s,_r) \
|
|
(__builtin_constant_p (_s) && (mpfr_long) (_s) >= 0 ? \
|
|
mpfr_set_ui ((_f), (mpfr_ulong) (mpfr_long) (_s), (_r)) : \
|
|
mpfr_set_si_2exp ((_f), (_s), 0, (_r)))
|
|
#endif
|
|
#endif
|
|
|
|
/* Macro version of mpfr_stack interface for fast access */
|
|
#define mpfr_custom_get_size(p) ((mpfr_size_t) \
|
|
(((p)+GMP_NUMB_BITS-1)/GMP_NUMB_BITS*sizeof (mp_limb_t)))
|
|
#define mpfr_custom_init(m,p) do {} while (0)
|
|
#define mpfr_custom_get_significand(x) ((mpfr_void*)((x)->_mpfr_d))
|
|
#define mpfr_custom_get_exp(x) ((x)->_mpfr_exp)
|
|
#define mpfr_custom_move(x,m) do { ((x)->_mpfr_d = (mp_limb_t*)(m)); } while (0)
|
|
#define mpfr_custom_init_set(x,k,e,p,m) do { \
|
|
mpfr_ptr _x = (x); \
|
|
mpfr_exp_t _e; \
|
|
mpfr_kind_t _t; \
|
|
mpfr_int _s, _k; \
|
|
_k = (k); \
|
|
if (_k >= 0) { \
|
|
_t = (mpfr_kind_t) _k; \
|
|
_s = 1; \
|
|
} else { \
|
|
_t = (mpfr_kind_t) -k; \
|
|
_s = -1; \
|
|
} \
|
|
_e = _t == MPFR_REGULAR_KIND ? (e) : \
|
|
_t == MPFR_NAN_KIND ? __MPFR_EXP_NAN : \
|
|
_t == MPFR_INF_KIND ? __MPFR_EXP_INF : __MPFR_EXP_ZERO; \
|
|
_x->_mpfr_prec = (p); \
|
|
_x->_mpfr_sign = _s; \
|
|
_x->_mpfr_exp = _e; \
|
|
_x->_mpfr_d = (mp_limb_t*) (m); \
|
|
} while (0)
|
|
#define mpfr_custom_get_kind(x) \
|
|
( (x)->_mpfr_exp > __MPFR_EXP_INF ? \
|
|
(mpfr_int) MPFR_REGULAR_KIND * MPFR_SIGN (x) \
|
|
: (x)->_mpfr_exp == __MPFR_EXP_INF ? \
|
|
(mpfr_int) MPFR_INF_KIND * MPFR_SIGN (x) \
|
|
: (x)->_mpfr_exp == __MPFR_EXP_NAN ? (mpfr_int) MPFR_NAN_KIND \
|
|
: (mpfr_int) MPFR_ZERO_KIND * MPFR_SIGN (x) )
|
|
|
|
|
|
#endif /* MPFR_USE_NO_MACRO */
|
|
|
|
/* Theses are defined to be macros */
|
|
#define mpfr_init_set_si(x, i, rnd) \
|
|
( mpfr_init(x), mpfr_set_si((x), (i), (rnd)) )
|
|
#define mpfr_init_set_ui(x, i, rnd) \
|
|
( mpfr_init(x), mpfr_set_ui((x), (i), (rnd)) )
|
|
#define mpfr_init_set_d(x, d, rnd) \
|
|
( mpfr_init(x), mpfr_set_d((x), (d), (rnd)) )
|
|
#define mpfr_init_set_ld(x, d, rnd) \
|
|
( mpfr_init(x), mpfr_set_ld((x), (d), (rnd)) )
|
|
#define mpfr_init_set_z(x, i, rnd) \
|
|
( mpfr_init(x), mpfr_set_z((x), (i), (rnd)) )
|
|
#define mpfr_init_set_q(x, i, rnd) \
|
|
( mpfr_init(x), mpfr_set_q((x), (i), (rnd)) )
|
|
#define mpfr_init_set(x, y, rnd) \
|
|
( mpfr_init(x), mpfr_set((x), (y), (rnd)) )
|
|
#define mpfr_init_set_f(x, y, rnd) \
|
|
( mpfr_init(x), mpfr_set_f((x), (y), (rnd)) )
|
|
|
|
/* Compatibility layer -- obsolete functions and macros */
|
|
#define mpfr_cmp_abs mpfr_cmpabs
|
|
#define mpfr_round_prec(x,r,p) mpfr_prec_round(x,p,r)
|
|
#define __gmp_default_rounding_mode (mpfr_get_default_rounding_mode())
|
|
#define __mpfr_emin (mpfr_get_emin())
|
|
#define __mpfr_emax (mpfr_get_emax())
|
|
#define __mpfr_default_fp_bit_precision (mpfr_get_default_fp_bit_precision())
|
|
#define MPFR_EMIN_MIN mpfr_get_emin_min()
|
|
#define MPFR_EMIN_MAX mpfr_get_emin_max()
|
|
#define MPFR_EMAX_MIN mpfr_get_emax_min()
|
|
#define MPFR_EMAX_MAX mpfr_get_emax_max()
|
|
#define mpfr_version (mpfr_get_version())
|
|
#ifndef mpz_set_fr
|
|
# define mpz_set_fr mpfr_get_z
|
|
#endif
|
|
#define mpfr_add_one_ulp(x,r) \
|
|
(mpfr_sgn (x) > 0 ? mpfr_nextabove (x) : mpfr_nextbelow (x))
|
|
#define mpfr_sub_one_ulp(x,r) \
|
|
(mpfr_sgn (x) > 0 ? mpfr_nextbelow (x) : mpfr_nextabove (x))
|
|
#define mpfr_get_z_exp mpfr_get_z_2exp
|
|
#define mpfr_custom_get_mantissa mpfr_custom_get_significand
|
|
|
|
#endif /* __MPFR_H*/
|