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gmp.h
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gmp.h
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/* Definitions for GNU multiple precision functions. -*- mode: c -*-
Copyright 1991, 1993-1997, 1999-2016, 2020 Free Software Foundation, Inc.
This file is part of the GNU MP Library.
The GNU MP Library is free software; you can redistribute it and/or modify
it under the terms of either:
* the GNU Lesser General Public License as published by the Free
Software Foundation; either version 3 of the License, or (at your
option) any later version.
or
* the GNU General Public License as published by the Free Software
Foundation; either version 2 of the License, or (at your option) any
later version.
or both in parallel, as here.
The GNU MP Library is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received copies of the GNU General Public License and the
GNU Lesser General Public License along with the GNU MP Library. If not,
see https://www.gnu.org/licenses/. */
#ifndef __GMP_H__
#if defined (__cplusplus)
#include <iosfwd> /* for std::istream, std::ostream, std::string */
#include <cstdio>
#endif
/* Instantiated by configure. */
#if ! defined (__GMP_WITHIN_CONFIGURE)
#define __GMP_HAVE_HOST_CPU_FAMILY_power 0
#define __GMP_HAVE_HOST_CPU_FAMILY_powerpc 0
#define GMP_LIMB_BITS 64
#define GMP_NAIL_BITS 0
#endif
#define GMP_NUMB_BITS (GMP_LIMB_BITS - GMP_NAIL_BITS)
#define GMP_NUMB_MASK ((~ __GMP_CAST (mp_limb_t, 0)) >> GMP_NAIL_BITS)
#define GMP_NUMB_MAX GMP_NUMB_MASK
#define GMP_NAIL_MASK (~ GMP_NUMB_MASK)
#ifndef __GNU_MP__
#define __GNU_MP__ 6
#include <stddef.h> /* for size_t */
#include <limits.h>
/* Instantiated by configure. */
#if ! defined (__GMP_WITHIN_CONFIGURE)
/* #undef _LONG_LONG_LIMB */
#define __GMP_LIBGMP_DLL 0
#endif
/* __GMP_DECLSPEC supports Windows DLL versions of libgmp, and is empty in
all other circumstances.
When compiling objects for libgmp, __GMP_DECLSPEC is an export directive,
or when compiling for an application it's an import directive. The two
cases are differentiated by __GMP_WITHIN_GMP defined by the GMP Makefiles
(and not defined from an application).
__GMP_DECLSPEC_XX is similarly used for libgmpxx. __GMP_WITHIN_GMPXX
indicates when building libgmpxx, and in that case libgmpxx functions are
exports, but libgmp functions which might get called are imports.
Libtool DLL_EXPORT define is not used.
There's no attempt to support GMP built both static and DLL. Doing so
would mean applications would have to tell us which of the two is going
to be used when linking, and that seems very tedious and error prone if
using GMP by hand, and equally tedious from a package since autoconf and
automake don't give much help.
__GMP_DECLSPEC is required on all documented global functions and
variables, the various internals in gmp-impl.h etc can be left unadorned.
But internals used by the test programs or speed measuring programs
should have __GMP_DECLSPEC, and certainly constants or variables must
have it or the wrong address will be resolved.
In gcc __declspec can go at either the start or end of a prototype.
In Microsoft C __declspec must go at the start, or after the type like
void __declspec(...) *foo()". There's no __dllexport or anything to
guard against someone foolish #defining dllexport. _export used to be
available, but no longer.
In Borland C _export still exists, but needs to go after the type, like
"void _export foo();". Would have to change the __GMP_DECLSPEC syntax to
make use of that. Probably more trouble than it's worth. */
#if defined (__GNUC__)
#define __GMP_DECLSPEC_EXPORT __declspec(__dllexport__)
#define __GMP_DECLSPEC_IMPORT __declspec(__dllimport__)
#endif
#if defined (_MSC_VER) || defined (__BORLANDC__)
#define __GMP_DECLSPEC_EXPORT __declspec(dllexport)
#define __GMP_DECLSPEC_IMPORT __declspec(dllimport)
#endif
#ifdef __WATCOMC__
#define __GMP_DECLSPEC_EXPORT __export
#define __GMP_DECLSPEC_IMPORT __import
#endif
#ifdef __IBMC__
#define __GMP_DECLSPEC_EXPORT _Export
#define __GMP_DECLSPEC_IMPORT _Import
#endif
#if __GMP_LIBGMP_DLL
#ifdef __GMP_WITHIN_GMP
/* compiling to go into a DLL libgmp */
#define __GMP_DECLSPEC __GMP_DECLSPEC_EXPORT
#else
/* compiling to go into an application which will link to a DLL libgmp */
#define __GMP_DECLSPEC __GMP_DECLSPEC_IMPORT
#endif
#else
/* all other cases */
#define __GMP_DECLSPEC
#endif
#ifdef __GMP_SHORT_LIMB
typedef unsigned int mp_limb_t;
typedef int mp_limb_signed_t;
#else
#ifdef _LONG_LONG_LIMB
typedef unsigned long long int mp_limb_t;
typedef long long int mp_limb_signed_t;
#else
typedef unsigned long int mp_limb_t;
typedef long int mp_limb_signed_t;
#endif
#endif
typedef unsigned long int mp_bitcnt_t;
/* For reference, note that the name __mpz_struct gets into C++ mangled
function names, which means although the "__" suggests an internal, we
must leave this name for binary compatibility. */
typedef struct
{
int _mp_alloc; /* Number of *limbs* allocated and pointed
to by the _mp_d field. */
int _mp_size; /* abs(_mp_size) is the number of limbs the
last field points to. If _mp_size is
negative this is a negative number. */
mp_limb_t *_mp_d; /* Pointer to the limbs. */
} __mpz_struct;
#endif /* __GNU_MP__ */
typedef __mpz_struct MP_INT; /* gmp 1 source compatibility */
typedef __mpz_struct mpz_t[1];
typedef mp_limb_t * mp_ptr;
typedef const mp_limb_t * mp_srcptr;
#if defined (_CRAY) && ! defined (_CRAYMPP)
/* plain `int' is much faster (48 bits) */
#define __GMP_MP_SIZE_T_INT 1
typedef int mp_size_t;
typedef int mp_exp_t;
#else
#define __GMP_MP_SIZE_T_INT 0
typedef long int mp_size_t;
typedef long int mp_exp_t;
#endif
typedef struct
{
__mpz_struct _mp_num;
__mpz_struct _mp_den;
} __mpq_struct;
typedef __mpq_struct MP_RAT; /* gmp 1 source compatibility */
typedef __mpq_struct mpq_t[1];
typedef struct
{
int _mp_prec; /* Max precision, in number of `mp_limb_t's.
Set by mpf_init and modified by
mpf_set_prec. The area pointed to by the
_mp_d field contains `prec' + 1 limbs. */
int _mp_size; /* abs(_mp_size) is the number of limbs the
last field points to. If _mp_size is
negative this is a negative number. */
mp_exp_t _mp_exp; /* Exponent, in the base of `mp_limb_t'. */
mp_limb_t *_mp_d; /* Pointer to the limbs. */
} __mpf_struct;
/* typedef __mpf_struct MP_FLOAT; */
typedef __mpf_struct mpf_t[1];
/* Available random number generation algorithms. */
typedef enum
{
GMP_RAND_ALG_DEFAULT = 0,
GMP_RAND_ALG_LC = GMP_RAND_ALG_DEFAULT /* Linear congruential. */
} gmp_randalg_t;
/* Random state struct. */
typedef struct
{
mpz_t _mp_seed; /* _mp_d member points to state of the generator. */
gmp_randalg_t _mp_alg; /* Currently unused. */
union {
void *_mp_lc; /* Pointer to function pointers structure. */
} _mp_algdata;
} __gmp_randstate_struct;
typedef __gmp_randstate_struct gmp_randstate_t[1];
/* Types for function declarations in gmp files. */
/* ??? Should not pollute user name space with these ??? */
typedef const __mpz_struct *mpz_srcptr;
typedef __mpz_struct *mpz_ptr;
typedef const __mpf_struct *mpf_srcptr;
typedef __mpf_struct *mpf_ptr;
typedef const __mpq_struct *mpq_srcptr;
typedef __mpq_struct *mpq_ptr;
#if __GMP_LIBGMP_DLL
#ifdef __GMP_WITHIN_GMPXX
/* compiling to go into a DLL libgmpxx */
#define __GMP_DECLSPEC_XX __GMP_DECLSPEC_EXPORT
#else
/* compiling to go into a application which will link to a DLL libgmpxx */
#define __GMP_DECLSPEC_XX __GMP_DECLSPEC_IMPORT
#endif
#else
/* all other cases */
#define __GMP_DECLSPEC_XX
#endif
#ifndef __MPN
#define __MPN(x) __gmpn_##x
#endif
/* For reference, "defined(EOF)" cannot be used here. In g++ 2.95.4,
<iostream> defines EOF but not FILE. */
#if defined (FILE) \
|| defined (H_STDIO) \
|| defined (_H_STDIO) /* AIX */ \
|| defined (_STDIO_H) /* glibc, Sun, SCO */ \
|| defined (_STDIO_H_) /* BSD, OSF */ \
|| defined (__STDIO_H) /* Borland */ \
|| defined (__STDIO_H__) /* IRIX */ \
|| defined (_STDIO_INCLUDED) /* HPUX */ \
|| defined (__dj_include_stdio_h_) /* DJGPP */ \
|| defined (_FILE_DEFINED) /* Microsoft */ \
|| defined (__STDIO__) /* Apple MPW MrC */ \
|| defined (_MSL_STDIO_H) /* Metrowerks */ \
|| defined (_STDIO_H_INCLUDED) /* QNX4 */ \
|| defined (_ISO_STDIO_ISO_H) /* Sun C++ */ \
|| defined (__STDIO_LOADED) /* VMS */ \
|| defined (__DEFINED_FILE) /* musl */
#define _GMP_H_HAVE_FILE 1
#endif
/* In ISO C, if a prototype involving "struct obstack *" is given without
that structure defined, then the struct is scoped down to just the
prototype, causing a conflict if it's subsequently defined for real. So
only give prototypes if we've got obstack.h. */
#if defined (_OBSTACK_H) /* glibc <obstack.h> */
#define _GMP_H_HAVE_OBSTACK 1
#endif
/* The prototypes for gmp_vprintf etc are provided only if va_list is defined,
via an application having included <stdarg.h>. Usually va_list is a typedef
so can't be tested directly, but C99 specifies that va_start is a macro.
<stdio.h> will define some sort of va_list for vprintf and vfprintf, but
let's not bother trying to use that since it's not standard and since
application uses for gmp_vprintf etc will almost certainly require the
whole <stdarg.h> anyway. */
#ifdef va_start
#define _GMP_H_HAVE_VA_LIST 1
#endif
/* Test for gcc >= maj.min, as per __GNUC_PREREQ in glibc */
#if defined (__GNUC__) && defined (__GNUC_MINOR__)
#define __GMP_GNUC_PREREQ(maj, min) \
((__GNUC__ << 16) + __GNUC_MINOR__ >= ((maj) << 16) + (min))
#else
#define __GMP_GNUC_PREREQ(maj, min) 0
#endif
/* "pure" is in gcc 2.96 and up, see "(gcc)Function Attributes". Basically
it means a function does nothing but examine its arguments and memory
(global or via arguments) to generate a return value, but changes nothing
and has no side-effects. __GMP_NO_ATTRIBUTE_CONST_PURE lets
tune/common.c etc turn this off when trying to write timing loops. */
#if __GMP_GNUC_PREREQ (2,96) && ! defined (__GMP_NO_ATTRIBUTE_CONST_PURE)
#define __GMP_ATTRIBUTE_PURE __attribute__ ((__pure__))
#else
#define __GMP_ATTRIBUTE_PURE
#endif
/* __GMP_CAST allows us to use static_cast in C++, so our macros are clean
to "g++ -Wold-style-cast".
Casts in "extern inline" code within an extern "C" block don't induce
these warnings, so __GMP_CAST only needs to be used on documented
macros. */
#ifdef __cplusplus
#define __GMP_CAST(type, expr) (static_cast<type> (expr))
#else
#define __GMP_CAST(type, expr) ((type) (expr))
#endif
/* An empty "throw ()" means the function doesn't throw any C++ exceptions,
this can save some stack frame info in applications.
Currently it's given only on functions which never divide-by-zero etc,
don't allocate memory, and are expected to never need to allocate memory.
This leaves open the possibility of a C++ throw from a future GMP
exceptions scheme.
mpz_set_ui etc are omitted to leave open the lazy allocation scheme
described in doc/tasks.html. mpz_get_d etc are omitted to leave open
exceptions for float overflows.
Note that __GMP_NOTHROW must be given on any inlines the same as on their
prototypes (for g++ at least, where they're used together). Note also
that g++ 3.0 demands that __GMP_NOTHROW is before other attributes like
__GMP_ATTRIBUTE_PURE. */
#if defined (__cplusplus)
#if __cplusplus >= 201103L
#define __GMP_NOTHROW noexcept
#else
#define __GMP_NOTHROW throw ()
#endif
#else
#define __GMP_NOTHROW
#endif
/* PORTME: What other compilers have a useful "extern inline"? "static
inline" would be an acceptable substitute if the compiler (or linker)
discards unused statics. */
/* gcc has __inline__ in all modes, including strict ansi. Give a prototype
for an inline too, so as to correctly specify "dllimport" on windows, in
case the function is called rather than inlined.
GCC 4.3 and above with -std=c99 or -std=gnu99 implements ISO C99
inline semantics, unless -fgnu89-inline is used. */
#ifdef __GNUC__
#if (defined __GNUC_STDC_INLINE__) || (__GNUC__ == 4 && __GNUC_MINOR__ == 2) \
|| (defined __GNUC_GNU_INLINE__ && defined __cplusplus)
#define __GMP_EXTERN_INLINE extern __inline__ __attribute__ ((__gnu_inline__))
#else
#define __GMP_EXTERN_INLINE extern __inline__
#endif
#define __GMP_INLINE_PROTOTYPES 1
#endif
/* DEC C (eg. version 5.9) supports "static __inline foo()", even in -std1
strict ANSI mode. Inlining is done even when not optimizing (ie. -O0
mode, which is the default), but an unnecessary local copy of foo is
emitted unless -O is used. "extern __inline" is accepted, but the
"extern" appears to be ignored, ie. it becomes a plain global function
but which is inlined within its file. Don't know if all old versions of
DEC C supported __inline, but as a start let's do the right thing for
current versions. */
#ifdef __DECC
#define __GMP_EXTERN_INLINE static __inline
#endif
/* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict
ANSI mode (__STDC__ is 1 in that mode). Inlining only actually takes
place under -O. Without -O "foo" seems to be emitted whether it's used
or not, which is wasteful. "extern inline foo()" isn't useful, the
"extern" is apparently ignored, so foo is inlined if possible but also
emitted as a global, which causes multiple definition errors when
building a shared libgmp. */
#ifdef __SCO_VERSION__
#if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
&& ! defined (__GMP_EXTERN_INLINE)
#define __GMP_EXTERN_INLINE static inline
#endif
#endif
/* Microsoft's C compiler accepts __inline */
#ifdef _MSC_VER
#define __GMP_EXTERN_INLINE __inline
#endif
/* Recent enough Sun C compilers want "inline" */
#if defined (__SUNPRO_C) && __SUNPRO_C >= 0x560 \
&& ! defined (__GMP_EXTERN_INLINE)
#define __GMP_EXTERN_INLINE inline
#endif
/* Somewhat older Sun C compilers want "static inline" */
#if defined (__SUNPRO_C) && __SUNPRO_C >= 0x540 \
&& ! defined (__GMP_EXTERN_INLINE)
#define __GMP_EXTERN_INLINE static inline
#endif
/* C++ always has "inline" and since it's a normal feature the linker should
discard duplicate non-inlined copies, or if it doesn't then that's a
problem for everyone, not just GMP. */
#if defined (__cplusplus) && ! defined (__GMP_EXTERN_INLINE)
#define __GMP_EXTERN_INLINE inline
#endif
/* Don't do any inlining within a configure run, since if the compiler ends
up emitting copies of the code into the object file it can end up
demanding the various support routines (like mpn_popcount) for linking,
making the "alloca" test and perhaps others fail. And on hppa ia64 a
pre-release gcc 3.2 was seen not respecting the "extern" in "extern
__inline__", triggering this problem too. */
#if defined (__GMP_WITHIN_CONFIGURE) && ! __GMP_WITHIN_CONFIGURE_INLINE
#undef __GMP_EXTERN_INLINE
#endif
/* By default, don't give a prototype when there's going to be an inline
version. Note in particular that Cray C++ objects to the combination of
prototype and inline. */
#ifdef __GMP_EXTERN_INLINE
#ifndef __GMP_INLINE_PROTOTYPES
#define __GMP_INLINE_PROTOTYPES 0
#endif
#else
#define __GMP_INLINE_PROTOTYPES 1
#endif
#define __GMP_ABS(x) ((x) >= 0 ? (x) : -(x))
#define __GMP_MAX(h,i) ((h) > (i) ? (h) : (i))
/* __builtin_expect is in gcc 3.0, and not in 2.95. */
#if __GMP_GNUC_PREREQ (3,0)
#define __GMP_LIKELY(cond) __builtin_expect ((cond) != 0, 1)
#define __GMP_UNLIKELY(cond) __builtin_expect ((cond) != 0, 0)
#else
#define __GMP_LIKELY(cond) (cond)
#define __GMP_UNLIKELY(cond) (cond)
#endif
#ifdef _CRAY
#define __GMP_CRAY_Pragma(str) _Pragma (str)
#else
#define __GMP_CRAY_Pragma(str)
#endif
/* Allow direct user access to numerator and denominator of an mpq_t object. */
#define mpq_numref(Q) (&((Q)->_mp_num))
#define mpq_denref(Q) (&((Q)->_mp_den))
#if defined (__cplusplus)
extern "C" {
using std::FILE;
#endif
#define mp_set_memory_functions __gmp_set_memory_functions
__GMP_DECLSPEC void mp_set_memory_functions (void *(*) (size_t),
void *(*) (void *, size_t, size_t),
void (*) (void *, size_t)) __GMP_NOTHROW;
#define mp_get_memory_functions __gmp_get_memory_functions
__GMP_DECLSPEC void mp_get_memory_functions (void *(**) (size_t),
void *(**) (void *, size_t, size_t),
void (**) (void *, size_t)) __GMP_NOTHROW;
#define mp_bits_per_limb __gmp_bits_per_limb
__GMP_DECLSPEC extern const int mp_bits_per_limb;
#define gmp_errno __gmp_errno
__GMP_DECLSPEC extern int gmp_errno;
#define gmp_version __gmp_version
__GMP_DECLSPEC extern const char * const gmp_version;
/**************** Random number routines. ****************/
/* obsolete */
#define gmp_randinit __gmp_randinit
__GMP_DECLSPEC void gmp_randinit (gmp_randstate_t, gmp_randalg_t, ...);
#define gmp_randinit_default __gmp_randinit_default
__GMP_DECLSPEC void gmp_randinit_default (gmp_randstate_t);
#define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
__GMP_DECLSPEC void gmp_randinit_lc_2exp (gmp_randstate_t, mpz_srcptr, unsigned long int, mp_bitcnt_t);
#define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size
__GMP_DECLSPEC int gmp_randinit_lc_2exp_size (gmp_randstate_t, mp_bitcnt_t);
#define gmp_randinit_mt __gmp_randinit_mt
__GMP_DECLSPEC void gmp_randinit_mt (gmp_randstate_t);
#define gmp_randinit_set __gmp_randinit_set
__GMP_DECLSPEC void gmp_randinit_set (gmp_randstate_t, const __gmp_randstate_struct *);
#define gmp_randseed __gmp_randseed
__GMP_DECLSPEC void gmp_randseed (gmp_randstate_t, mpz_srcptr);
#define gmp_randseed_ui __gmp_randseed_ui
__GMP_DECLSPEC void gmp_randseed_ui (gmp_randstate_t, unsigned long int);
#define gmp_randclear __gmp_randclear
__GMP_DECLSPEC void gmp_randclear (gmp_randstate_t);
#define gmp_urandomb_ui __gmp_urandomb_ui
__GMP_DECLSPEC unsigned long gmp_urandomb_ui (gmp_randstate_t, unsigned long);
#define gmp_urandomm_ui __gmp_urandomm_ui
__GMP_DECLSPEC unsigned long gmp_urandomm_ui (gmp_randstate_t, unsigned long);
/**************** Formatted output routines. ****************/
#define gmp_asprintf __gmp_asprintf
__GMP_DECLSPEC int gmp_asprintf (char **, const char *, ...);
#define gmp_fprintf __gmp_fprintf
#ifdef _GMP_H_HAVE_FILE
__GMP_DECLSPEC int gmp_fprintf (FILE *, const char *, ...);
#endif
#define gmp_obstack_printf __gmp_obstack_printf
#if defined (_GMP_H_HAVE_OBSTACK)
__GMP_DECLSPEC int gmp_obstack_printf (struct obstack *, const char *, ...);
#endif
#define gmp_obstack_vprintf __gmp_obstack_vprintf
#if defined (_GMP_H_HAVE_OBSTACK) && defined (_GMP_H_HAVE_VA_LIST)
__GMP_DECLSPEC int gmp_obstack_vprintf (struct obstack *, const char *, va_list);
#endif
#define gmp_printf __gmp_printf
__GMP_DECLSPEC int gmp_printf (const char *, ...);
#define gmp_snprintf __gmp_snprintf
__GMP_DECLSPEC int gmp_snprintf (char *, size_t, const char *, ...);
#define gmp_sprintf __gmp_sprintf
__GMP_DECLSPEC int gmp_sprintf (char *, const char *, ...);
#define gmp_vasprintf __gmp_vasprintf
#if defined (_GMP_H_HAVE_VA_LIST)
__GMP_DECLSPEC int gmp_vasprintf (char **, const char *, va_list);
#endif
#define gmp_vfprintf __gmp_vfprintf
#if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
__GMP_DECLSPEC int gmp_vfprintf (FILE *, const char *, va_list);
#endif
#define gmp_vprintf __gmp_vprintf
#if defined (_GMP_H_HAVE_VA_LIST)
__GMP_DECLSPEC int gmp_vprintf (const char *, va_list);
#endif
#define gmp_vsnprintf __gmp_vsnprintf
#if defined (_GMP_H_HAVE_VA_LIST)
__GMP_DECLSPEC int gmp_vsnprintf (char *, size_t, const char *, va_list);
#endif
#define gmp_vsprintf __gmp_vsprintf
#if defined (_GMP_H_HAVE_VA_LIST)
__GMP_DECLSPEC int gmp_vsprintf (char *, const char *, va_list);
#endif
/**************** Formatted input routines. ****************/
#define gmp_fscanf __gmp_fscanf
#ifdef _GMP_H_HAVE_FILE
__GMP_DECLSPEC int gmp_fscanf (FILE *, const char *, ...);
#endif
#define gmp_scanf __gmp_scanf
__GMP_DECLSPEC int gmp_scanf (const char *, ...);
#define gmp_sscanf __gmp_sscanf
__GMP_DECLSPEC int gmp_sscanf (const char *, const char *, ...);
#define gmp_vfscanf __gmp_vfscanf
#if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
__GMP_DECLSPEC int gmp_vfscanf (FILE *, const char *, va_list);
#endif
#define gmp_vscanf __gmp_vscanf
#if defined (_GMP_H_HAVE_VA_LIST)
__GMP_DECLSPEC int gmp_vscanf (const char *, va_list);
#endif
#define gmp_vsscanf __gmp_vsscanf
#if defined (_GMP_H_HAVE_VA_LIST)
__GMP_DECLSPEC int gmp_vsscanf (const char *, const char *, va_list);
#endif
/**************** Integer (i.e. Z) routines. ****************/
#define _mpz_realloc __gmpz_realloc
#define mpz_realloc __gmpz_realloc
__GMP_DECLSPEC void *_mpz_realloc (mpz_ptr, mp_size_t);
#define mpz_abs __gmpz_abs
#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs)
__GMP_DECLSPEC void mpz_abs (mpz_ptr, mpz_srcptr);
#endif
#define mpz_add __gmpz_add
__GMP_DECLSPEC void mpz_add (mpz_ptr, mpz_srcptr, mpz_srcptr);
#define mpz_add_ui __gmpz_add_ui
__GMP_DECLSPEC void mpz_add_ui (mpz_ptr, mpz_srcptr, unsigned long int);
#define mpz_addmul __gmpz_addmul
__GMP_DECLSPEC void mpz_addmul (mpz_ptr, mpz_srcptr, mpz_srcptr);
#define mpz_addmul_ui __gmpz_addmul_ui
__GMP_DECLSPEC void mpz_addmul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
#define mpz_and __gmpz_and
__GMP_DECLSPEC void mpz_and (mpz_ptr, mpz_srcptr, mpz_srcptr);
#define mpz_array_init __gmpz_array_init
__GMP_DECLSPEC void mpz_array_init (mpz_ptr, mp_size_t, mp_size_t);
#define mpz_bin_ui __gmpz_bin_ui
__GMP_DECLSPEC void mpz_bin_ui (mpz_ptr, mpz_srcptr, unsigned long int);
#define mpz_bin_uiui __gmpz_bin_uiui
__GMP_DECLSPEC void mpz_bin_uiui (mpz_ptr, unsigned long int, unsigned long int);
#define mpz_cdiv_q __gmpz_cdiv_q
__GMP_DECLSPEC void mpz_cdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
#define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
__GMP_DECLSPEC void mpz_cdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
#define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
__GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
#define mpz_cdiv_qr __gmpz_cdiv_qr
__GMP_DECLSPEC void mpz_cdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
#define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
__GMP_DECLSPEC unsigned long int mpz_cdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
#define mpz_cdiv_r __gmpz_cdiv_r
__GMP_DECLSPEC void mpz_cdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
#define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
__GMP_DECLSPEC void mpz_cdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
#define mpz_cdiv_r_ui __gmpz_cdiv_r_ui
__GMP_DECLSPEC unsigned long int mpz_cdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
#define mpz_cdiv_ui __gmpz_cdiv_ui
__GMP_DECLSPEC unsigned long int mpz_cdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
#define mpz_clear __gmpz_clear
__GMP_DECLSPEC void mpz_clear (mpz_ptr);
#define mpz_clears __gmpz_clears
__GMP_DECLSPEC void mpz_clears (mpz_ptr, ...);
#define mpz_clrbit __gmpz_clrbit
__GMP_DECLSPEC void mpz_clrbit (mpz_ptr, mp_bitcnt_t);
#define mpz_cmp __gmpz_cmp
__GMP_DECLSPEC int mpz_cmp (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define mpz_cmp_d __gmpz_cmp_d
__GMP_DECLSPEC int mpz_cmp_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
#define _mpz_cmp_si __gmpz_cmp_si
__GMP_DECLSPEC int _mpz_cmp_si (mpz_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define _mpz_cmp_ui __gmpz_cmp_ui
__GMP_DECLSPEC int _mpz_cmp_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define mpz_cmpabs __gmpz_cmpabs
__GMP_DECLSPEC int mpz_cmpabs (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define mpz_cmpabs_d __gmpz_cmpabs_d
__GMP_DECLSPEC int mpz_cmpabs_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
#define mpz_cmpabs_ui __gmpz_cmpabs_ui
__GMP_DECLSPEC int mpz_cmpabs_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define mpz_com __gmpz_com
__GMP_DECLSPEC void mpz_com (mpz_ptr, mpz_srcptr);
#define mpz_combit __gmpz_combit
__GMP_DECLSPEC void mpz_combit (mpz_ptr, mp_bitcnt_t);
#define mpz_congruent_p __gmpz_congruent_p
__GMP_DECLSPEC int mpz_congruent_p (mpz_srcptr, mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
#define mpz_congruent_2exp_p __gmpz_congruent_2exp_p
__GMP_DECLSPEC int mpz_congruent_2exp_p (mpz_srcptr, mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define mpz_congruent_ui_p __gmpz_congruent_ui_p
__GMP_DECLSPEC int mpz_congruent_ui_p (mpz_srcptr, unsigned long, unsigned long) __GMP_ATTRIBUTE_PURE;
#define mpz_divexact __gmpz_divexact
__GMP_DECLSPEC void mpz_divexact (mpz_ptr, mpz_srcptr, mpz_srcptr);
#define mpz_divexact_ui __gmpz_divexact_ui
__GMP_DECLSPEC void mpz_divexact_ui (mpz_ptr, mpz_srcptr, unsigned long);
#define mpz_divisible_p __gmpz_divisible_p
__GMP_DECLSPEC int mpz_divisible_p (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
#define mpz_divisible_ui_p __gmpz_divisible_ui_p
__GMP_DECLSPEC int mpz_divisible_ui_p (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
#define mpz_divisible_2exp_p __gmpz_divisible_2exp_p
__GMP_DECLSPEC int mpz_divisible_2exp_p (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define mpz_dump __gmpz_dump
__GMP_DECLSPEC void mpz_dump (mpz_srcptr);
#define mpz_export __gmpz_export
__GMP_DECLSPEC void *mpz_export (void *, size_t *, int, size_t, int, size_t, mpz_srcptr);
#define mpz_fac_ui __gmpz_fac_ui
__GMP_DECLSPEC void mpz_fac_ui (mpz_ptr, unsigned long int);
#define mpz_2fac_ui __gmpz_2fac_ui
__GMP_DECLSPEC void mpz_2fac_ui (mpz_ptr, unsigned long int);
#define mpz_mfac_uiui __gmpz_mfac_uiui
__GMP_DECLSPEC void mpz_mfac_uiui (mpz_ptr, unsigned long int, unsigned long int);
#define mpz_primorial_ui __gmpz_primorial_ui
__GMP_DECLSPEC void mpz_primorial_ui (mpz_ptr, unsigned long int);
#define mpz_fdiv_q __gmpz_fdiv_q
__GMP_DECLSPEC void mpz_fdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
#define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
__GMP_DECLSPEC void mpz_fdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
#define mpz_fdiv_q_ui __gmpz_fdiv_q_ui
__GMP_DECLSPEC unsigned long int mpz_fdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
#define mpz_fdiv_qr __gmpz_fdiv_qr
__GMP_DECLSPEC void mpz_fdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
#define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui
__GMP_DECLSPEC unsigned long int mpz_fdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
#define mpz_fdiv_r __gmpz_fdiv_r
__GMP_DECLSPEC void mpz_fdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
#define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
__GMP_DECLSPEC void mpz_fdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
#define mpz_fdiv_r_ui __gmpz_fdiv_r_ui
__GMP_DECLSPEC unsigned long int mpz_fdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
#define mpz_fdiv_ui __gmpz_fdiv_ui
__GMP_DECLSPEC unsigned long int mpz_fdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
#define mpz_fib_ui __gmpz_fib_ui
__GMP_DECLSPEC void mpz_fib_ui (mpz_ptr, unsigned long int);
#define mpz_fib2_ui __gmpz_fib2_ui
__GMP_DECLSPEC void mpz_fib2_ui (mpz_ptr, mpz_ptr, unsigned long int);
#define mpz_fits_sint_p __gmpz_fits_sint_p
__GMP_DECLSPEC int mpz_fits_sint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define mpz_fits_slong_p __gmpz_fits_slong_p
__GMP_DECLSPEC int mpz_fits_slong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define mpz_fits_sshort_p __gmpz_fits_sshort_p
__GMP_DECLSPEC int mpz_fits_sshort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define mpz_fits_uint_p __gmpz_fits_uint_p
#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_uint_p)
__GMP_DECLSPEC int mpz_fits_uint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#endif
#define mpz_fits_ulong_p __gmpz_fits_ulong_p
#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ulong_p)
__GMP_DECLSPEC int mpz_fits_ulong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#endif
#define mpz_fits_ushort_p __gmpz_fits_ushort_p
#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ushort_p)
__GMP_DECLSPEC int mpz_fits_ushort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#endif
#define mpz_gcd __gmpz_gcd
__GMP_DECLSPEC void mpz_gcd (mpz_ptr, mpz_srcptr, mpz_srcptr);
#define mpz_gcd_ui __gmpz_gcd_ui
__GMP_DECLSPEC unsigned long int mpz_gcd_ui (mpz_ptr, mpz_srcptr, unsigned long int);
#define mpz_gcdext __gmpz_gcdext
__GMP_DECLSPEC void mpz_gcdext (mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
#define mpz_get_d __gmpz_get_d
__GMP_DECLSPEC double mpz_get_d (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
#define mpz_get_d_2exp __gmpz_get_d_2exp
__GMP_DECLSPEC double mpz_get_d_2exp (signed long int *, mpz_srcptr);
#define mpz_get_si __gmpz_get_si
__GMP_DECLSPEC /* signed */ long int mpz_get_si (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define mpz_get_str __gmpz_get_str
__GMP_DECLSPEC char *mpz_get_str (char *, int, mpz_srcptr);
#define mpz_get_ui __gmpz_get_ui
#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_get_ui)
__GMP_DECLSPEC unsigned long int mpz_get_ui (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#endif
#define mpz_getlimbn __gmpz_getlimbn
#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_getlimbn)
__GMP_DECLSPEC mp_limb_t mpz_getlimbn (mpz_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#endif
#define mpz_hamdist __gmpz_hamdist
__GMP_DECLSPEC mp_bitcnt_t mpz_hamdist (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define mpz_import __gmpz_import
__GMP_DECLSPEC void mpz_import (mpz_ptr, size_t, int, size_t, int, size_t, const void *);
#define mpz_init __gmpz_init
__GMP_DECLSPEC void mpz_init (mpz_ptr) __GMP_NOTHROW;
#define mpz_init2 __gmpz_init2
__GMP_DECLSPEC void mpz_init2 (mpz_ptr, mp_bitcnt_t);
#define mpz_inits __gmpz_inits
__GMP_DECLSPEC void mpz_inits (mpz_ptr, ...) __GMP_NOTHROW;
#define mpz_init_set __gmpz_init_set
__GMP_DECLSPEC void mpz_init_set (mpz_ptr, mpz_srcptr);
#define mpz_init_set_d __gmpz_init_set_d
__GMP_DECLSPEC void mpz_init_set_d (mpz_ptr, double);
#define mpz_init_set_si __gmpz_init_set_si
__GMP_DECLSPEC void mpz_init_set_si (mpz_ptr, signed long int);
#define mpz_init_set_str __gmpz_init_set_str
__GMP_DECLSPEC int mpz_init_set_str (mpz_ptr, const char *, int);
#define mpz_init_set_ui __gmpz_init_set_ui
__GMP_DECLSPEC void mpz_init_set_ui (mpz_ptr, unsigned long int);
#define mpz_inp_raw __gmpz_inp_raw
#ifdef _GMP_H_HAVE_FILE
__GMP_DECLSPEC size_t mpz_inp_raw (mpz_ptr, FILE *);
#endif
#define mpz_inp_str __gmpz_inp_str
#ifdef _GMP_H_HAVE_FILE
__GMP_DECLSPEC size_t mpz_inp_str (mpz_ptr, FILE *, int);
#endif
#define mpz_invert __gmpz_invert
__GMP_DECLSPEC int mpz_invert (mpz_ptr, mpz_srcptr, mpz_srcptr);
#define mpz_ior __gmpz_ior
__GMP_DECLSPEC void mpz_ior (mpz_ptr, mpz_srcptr, mpz_srcptr);
#define mpz_jacobi __gmpz_jacobi
__GMP_DECLSPEC int mpz_jacobi (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
#define mpz_kronecker mpz_jacobi /* alias */
#define mpz_kronecker_si __gmpz_kronecker_si
__GMP_DECLSPEC int mpz_kronecker_si (mpz_srcptr, long) __GMP_ATTRIBUTE_PURE;
#define mpz_kronecker_ui __gmpz_kronecker_ui
__GMP_DECLSPEC int mpz_kronecker_ui (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
#define mpz_si_kronecker __gmpz_si_kronecker
__GMP_DECLSPEC int mpz_si_kronecker (long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
#define mpz_ui_kronecker __gmpz_ui_kronecker
__GMP_DECLSPEC int mpz_ui_kronecker (unsigned long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
#define mpz_lcm __gmpz_lcm
__GMP_DECLSPEC void mpz_lcm (mpz_ptr, mpz_srcptr, mpz_srcptr);
#define mpz_lcm_ui __gmpz_lcm_ui
__GMP_DECLSPEC void mpz_lcm_ui (mpz_ptr, mpz_srcptr, unsigned long);
#define mpz_legendre mpz_jacobi /* alias */
#define mpz_lucnum_ui __gmpz_lucnum_ui
__GMP_DECLSPEC void mpz_lucnum_ui (mpz_ptr, unsigned long int);
#define mpz_lucnum2_ui __gmpz_lucnum2_ui
__GMP_DECLSPEC void mpz_lucnum2_ui (mpz_ptr, mpz_ptr, unsigned long int);
#define mpz_millerrabin __gmpz_millerrabin
__GMP_DECLSPEC int mpz_millerrabin (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
#define mpz_mod __gmpz_mod
__GMP_DECLSPEC void mpz_mod (mpz_ptr, mpz_srcptr, mpz_srcptr);
#define mpz_mod_ui mpz_fdiv_r_ui /* same as fdiv_r because divisor unsigned */
#define mpz_mul __gmpz_mul
__GMP_DECLSPEC void mpz_mul (mpz_ptr, mpz_srcptr, mpz_srcptr);
#define mpz_mul_2exp __gmpz_mul_2exp
__GMP_DECLSPEC void mpz_mul_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
#define mpz_mul_si __gmpz_mul_si
__GMP_DECLSPEC void mpz_mul_si (mpz_ptr, mpz_srcptr, long int);
#define mpz_mul_ui __gmpz_mul_ui
__GMP_DECLSPEC void mpz_mul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
#define mpz_neg __gmpz_neg
#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_neg)
__GMP_DECLSPEC void mpz_neg (mpz_ptr, mpz_srcptr);
#endif
#define mpz_nextprime __gmpz_nextprime
__GMP_DECLSPEC void mpz_nextprime (mpz_ptr, mpz_srcptr);
#define mpz_out_raw __gmpz_out_raw
#ifdef _GMP_H_HAVE_FILE
__GMP_DECLSPEC size_t mpz_out_raw (FILE *, mpz_srcptr);
#endif
#define mpz_out_str __gmpz_out_str
#ifdef _GMP_H_HAVE_FILE
__GMP_DECLSPEC size_t mpz_out_str (FILE *, int, mpz_srcptr);
#endif
#define mpz_perfect_power_p __gmpz_perfect_power_p
__GMP_DECLSPEC int mpz_perfect_power_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
#define mpz_perfect_square_p __gmpz_perfect_square_p
#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_perfect_square_p)
__GMP_DECLSPEC int mpz_perfect_square_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
#endif
#define mpz_popcount __gmpz_popcount
#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_popcount)
__GMP_DECLSPEC mp_bitcnt_t mpz_popcount (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#endif
#define mpz_pow_ui __gmpz_pow_ui
__GMP_DECLSPEC void mpz_pow_ui (mpz_ptr, mpz_srcptr, unsigned long int);
#define mpz_powm __gmpz_powm
__GMP_DECLSPEC void mpz_powm (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
#define mpz_powm_sec __gmpz_powm_sec
__GMP_DECLSPEC void mpz_powm_sec (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
#define mpz_powm_ui __gmpz_powm_ui
__GMP_DECLSPEC void mpz_powm_ui (mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr);
#define mpz_probab_prime_p __gmpz_probab_prime_p
__GMP_DECLSPEC int mpz_probab_prime_p (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
#define mpz_random __gmpz_random
__GMP_DECLSPEC void mpz_random (mpz_ptr, mp_size_t);
#define mpz_random2 __gmpz_random2
__GMP_DECLSPEC void mpz_random2 (mpz_ptr, mp_size_t);
#define mpz_realloc2 __gmpz_realloc2
__GMP_DECLSPEC void mpz_realloc2 (mpz_ptr, mp_bitcnt_t);
#define mpz_remove __gmpz_remove
__GMP_DECLSPEC mp_bitcnt_t mpz_remove (mpz_ptr, mpz_srcptr, mpz_srcptr);
#define mpz_root __gmpz_root