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mpir.h
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/* Definitions for GNU multiple precision functions. -*- mode: c -*-
Copyright 1991, 1993, 1994, 1995, 1996, 1997, 1999, 2000, 2001, 2002, 2003,
2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, Inc.
Copyright 2008 William Hart, Gonzalo Tornaria
This file is part of the MPIR Library.
The MPIR Library is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 3 of the License, or (at your
option) any later version.
The MPIR Library is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
License for more details.
You should have received a copy of the GNU Lesser General Public License
along with the GNU MP Library. If not, see http://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_BITS_PER_MP_LIMB 64
#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)
/* The following (everything under ifndef __GNU_MP__) must be identical in
mpir.h and mp.h to allow both to be included in an application or during
the library build. */
#ifndef __GNU_MP__
#define __GNU_MP__ 4
#define __need_size_t /* tell gcc stddef.h we only want size_t */
#if defined (__cplusplus)
#include <cstddef> /* for size_t */
#else
#include <stddef.h> /* for size_t */
#endif
#undef __need_size_t
/* Instantiated by configure. */
#if ! defined (__GMP_WITHIN_CONFIGURE)
/* #undef _LONG_LONG_LIMB */
#define __GMP_LIBGMP_DLL 0
#endif
/* #if defined(__GMP_WITHIN_CONFIGURE) && defined(_WIN64) */
#ifdef __WIN64
#define _LONG_LONG_LIMB 1
#endif
/* __STDC__ - some ANSI compilers define this only to 0, hence the use of
"defined" and not "__STDC__-0". In particular Sun workshop C 5.0
sets __STDC__ to 0, but requires "##" for token pasting.
_AIX - gnu ansidecl.h asserts that all known AIX compilers are ANSI but
don't always define __STDC__.
__DECC - current versions of DEC C (5.9 for instance) for alpha are ANSI,
but don't define __STDC__ in their default mode. Don't know if old
versions might have been K&R, but let's not worry about that unless
someone is still using one.
_mips - gnu ansidecl.h says the RISC/OS MIPS compiler is ANSI in SVR4
mode, but doesn't define __STDC__.
_MSC_VER - Microsoft C is ANSI, but __STDC__ is undefined unless the /Za
option is given (in which case it's 1).
_WIN32 - tested for by gnu ansidecl.h, no doubt on the assumption that
all w32 compilers are ansi.
Note: This same set of tests is used by gen-psqr.c and
demos/expr/expr-impl.h, so if anything needs adding, then be sure to
update those too. */
#if defined (__STDC__) \
|| defined (__cplusplus) \
|| defined (_AIX) \
|| defined (__DECC) \
|| (defined (__mips) && defined (_SYSTYPE_SVR4)) \
|| defined (_MSC_VER) \
|| defined (_WIN32)
#define __GMP_HAVE_CONST 1
#define __GMP_HAVE_PROTOTYPES 1
#define __GMP_HAVE_TOKEN_PASTE 1
#else
#define __GMP_HAVE_CONST 0
#define __GMP_HAVE_PROTOTYPES 0
#define __GMP_HAVE_TOKEN_PASTE 0
#endif
#if __GMP_HAVE_CONST
#define __gmp_const const
#define __gmp_signed signed
#else
#define __gmp_const
#define __gmp_signed
#endif
/* __GMP_DECLSPEC supports Windows DLL versions of libmpir, and is empty in
all other circumstances.
When compiling objects for libmpir, __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 libmpirxx. __GMP_WITHIN_GMPXX
indicates when building libmpirxx, and in that case libmpirxx functions are
exports, but libmpir functions which might get called are imports.
libmp.la uses __GMP_DECLSPEC, just as if it were libmpir.la. libmpir and
libmp don't call each other, so there's no conflict or confusion.
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
#if __GMP_WITHIN_GMP
/* compiling to go into a DLL libmpir */
#define __GMP_DECLSPEC __GMP_DECLSPEC_EXPORT
#else
/* compiling to go into an application which will link to a DLL libmpir */
#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
#ifdef _WIN64
typedef unsigned long long int mp_bitcnt_t;
#else
typedef unsigned long int mp_bitcnt_t;
#endif
/* 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 mpz_t[1];
typedef mp_limb_t * mp_ptr;
typedef __gmp_const mp_limb_t * mp_srcptr;
#if defined( _WIN64)
#define __GMP_MP_SIZE_T_INT 0
typedef long long int mp_size_t;
typedef long 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 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 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 __gmp_const __mpz_struct *mpz_srcptr;
typedef __mpz_struct *mpz_ptr;
typedef __gmp_const __mpf_struct *mpf_srcptr;
typedef __mpf_struct *mpf_ptr;
typedef __gmp_const __mpq_struct *mpq_srcptr;
typedef __mpq_struct *mpq_ptr;
/* This is not wanted in mp.h, so put it outside the __GNU_MP__ common
section. */
#if __GMP_LIBGMP_DLL
#if __GMP_WITHIN_GMPXX
/* compiling to go into a DLL libmpirxx */
#define __GMP_DECLSPEC_XX __GMP_DECLSPEC_EXPORT
#else
/* compiling to go into a application which will link to a DLL libmpirxx */
#define __GMP_DECLSPEC_XX __GMP_DECLSPEC_IMPORT
#endif
#else
/* all other cases */
#define __GMP_DECLSPEC_XX
#endif
#if __GMP_HAVE_PROTOTYPES
#define __GMP_PROTO(x) x
#else
#define __GMP_PROTO(x) ()
#endif
#ifndef __MPN
#if __GMP_HAVE_TOKEN_PASTE
#define __MPN(x) __gmpn_##x
#else
#define __MPN(x) __gmpn_/**/x
#endif
#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 (_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++ */
#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
available, via an application having included <stdarg.h> or <varargs.h>.
Usually va_list is a typedef so can't be tested directly, but C99
specifies that va_start is a macro (and it was normally a macro on past
systems too), so look for that.
<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> or <varargs.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)
#define __GMP_NOTHROW throw ()
#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. */
#ifdef __GNUC__
#if defined(__APPLE_CC__) && (__APPLE_CC__ != 1) /* FSF GCC sets this flag to 1 on Apple machines */
#if ! (__APPLE_CC__ >= 5465 && __STDC_VERSION__ >= 199901L)
#define __GMP_EXTERN_INLINE extern __inline__
#define __GMP_INLINE_PROTOTYPES 1
#endif
#else /*GNU CC*/
#if defined(__GNUC_STDC_INLINE__) || defined (__GNUC_GNU_INLINE__)
#define __GMP_EXTERN_INLINE extern __inline__ __attribute__((__gnu_inline__))
#else
#define __GMP_EXTERN_INLINE extern __inline__
#endif
#define __GMP_INLINE_PROTOTYPES 1
#endif
#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 libmpir. */
#ifdef __SCO_VERSION__
#if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
&& ! defined (__GMP_EXTERN_INLINE)
#define __GMP_EXTERN_INLINE static inline
#endif
#endif
#if defined _MSC_VER
#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))
/* __GMP_USHRT_MAX is not "~ (unsigned short) 0" because short is promoted
to int by "~". */
#define __GMP_UINT_MAX (~ (unsigned) 0)
#define __GMP_ULONG_MAX (~ (unsigned long) 0)
#define __GMP_USHRT_MAX ((unsigned short) ~0)
/* __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
/* Allow direct user access to numerator and denominator of a 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 __GMP_PROTO ((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 __GMP_PROTO ((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 __gmp_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 __gmp_const char * __gmp_const gmp_version;
#define mpir_version __mpir_version
__GMP_DECLSPEC extern __gmp_const char * __gmp_const mpir_version;
/**************** Random number routines. ****************/
#define gmp_randinit_default __gmp_randinit_default
__GMP_DECLSPEC void gmp_randinit_default __GMP_PROTO ((gmp_randstate_t));
#define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
__GMP_DECLSPEC void gmp_randinit_lc_2exp __GMP_PROTO ((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_PROTO ((gmp_randstate_t, mp_bitcnt_t));
#define gmp_randinit_mt __gmp_randinit_mt
__GMP_DECLSPEC void gmp_randinit_mt __GMP_PROTO ((gmp_randstate_t));
#define gmp_randinit_set __gmp_randinit_set
__GMP_DECLSPEC void gmp_randinit_set __GMP_PROTO ((gmp_randstate_t, __gmp_const __gmp_randstate_struct *));
#define gmp_randseed __gmp_randseed
__GMP_DECLSPEC void gmp_randseed __GMP_PROTO ((gmp_randstate_t, mpz_srcptr));
#define gmp_randseed_ui __gmp_randseed_ui
__GMP_DECLSPEC void gmp_randseed_ui __GMP_PROTO ((gmp_randstate_t, unsigned long int));
#define gmp_randclear __gmp_randclear
__GMP_DECLSPEC void gmp_randclear __GMP_PROTO ((gmp_randstate_t));
#define gmp_urandomb_ui __gmp_urandomb_ui
__GMP_DECLSPEC unsigned long gmp_urandomb_ui __GMP_PROTO ((gmp_randstate_t, unsigned long));
#define gmp_urandomm_ui __gmp_urandomm_ui
__GMP_DECLSPEC unsigned long gmp_urandomm_ui __GMP_PROTO ((gmp_randstate_t, unsigned long));
/**************** Formatted output routines. ****************/
#define gmp_asprintf __gmp_asprintf
__GMP_DECLSPEC int gmp_asprintf __GMP_PROTO ((char **, __gmp_const char *, ...));
#define gmp_fprintf __gmp_fprintf
#ifdef _GMP_H_HAVE_FILE
__GMP_DECLSPEC int gmp_fprintf __GMP_PROTO ((FILE *, __gmp_const char *, ...));
#endif
#define gmp_obstack_printf __gmp_obstack_printf
#if defined (_GMP_H_HAVE_OBSTACK)
__GMP_DECLSPEC int gmp_obstack_printf __GMP_PROTO ((struct obstack *, __gmp_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 __GMP_PROTO ((struct obstack *, __gmp_const char *, va_list));
#endif
#define gmp_printf __gmp_printf
__GMP_DECLSPEC int gmp_printf __GMP_PROTO ((__gmp_const char *, ...));
#define gmp_snprintf __gmp_snprintf
__GMP_DECLSPEC int gmp_snprintf __GMP_PROTO ((char *, size_t, __gmp_const char *, ...));
#define gmp_sprintf __gmp_sprintf
__GMP_DECLSPEC int gmp_sprintf __GMP_PROTO ((char *, __gmp_const char *, ...));
#define gmp_vasprintf __gmp_vasprintf
#if defined (_GMP_H_HAVE_VA_LIST)
__GMP_DECLSPEC int gmp_vasprintf __GMP_PROTO ((char **, __gmp_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 __GMP_PROTO ((FILE *, __gmp_const char *, va_list));
#endif
#define gmp_vprintf __gmp_vprintf
#if defined (_GMP_H_HAVE_VA_LIST)
__GMP_DECLSPEC int gmp_vprintf __GMP_PROTO ((__gmp_const char *, va_list));
#endif
#define gmp_vsnprintf __gmp_vsnprintf
#if defined (_GMP_H_HAVE_VA_LIST)
__GMP_DECLSPEC int gmp_vsnprintf __GMP_PROTO ((char *, size_t, __gmp_const char *, va_list));
#endif
#define gmp_vsprintf __gmp_vsprintf
#if defined (_GMP_H_HAVE_VA_LIST)
__GMP_DECLSPEC int gmp_vsprintf __GMP_PROTO ((char *, __gmp_const char *, va_list));
#endif
/**************** Formatted input routines. ****************/
#define gmp_fscanf __gmp_fscanf
#ifdef _GMP_H_HAVE_FILE
__GMP_DECLSPEC int gmp_fscanf __GMP_PROTO ((FILE *, __gmp_const char *, ...));
#endif
#define gmp_scanf __gmp_scanf
__GMP_DECLSPEC int gmp_scanf __GMP_PROTO ((__gmp_const char *, ...));
#define gmp_sscanf __gmp_sscanf
__GMP_DECLSPEC int gmp_sscanf __GMP_PROTO ((__gmp_const char *, __gmp_const char *, ...));
#define gmp_vfscanf __gmp_vfscanf
#if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
__GMP_DECLSPEC int gmp_vfscanf __GMP_PROTO ((FILE *, __gmp_const char *, va_list));
#endif
#define gmp_vscanf __gmp_vscanf
#if defined (_GMP_H_HAVE_VA_LIST)
__GMP_DECLSPEC int gmp_vscanf __GMP_PROTO ((__gmp_const char *, va_list));
#endif
#define gmp_vsscanf __gmp_vsscanf
#if defined (_GMP_H_HAVE_VA_LIST)
__GMP_DECLSPEC int gmp_vsscanf __GMP_PROTO ((__gmp_const char *, __gmp_const char *, va_list));
#endif
/**************** Integer (i.e. Z) routines. ****************/
#define __GMP_BITS_PER_ULONG (8*sizeof(unsigned long))
#define _mpz_realloc __gmpz_realloc
#define mpz_realloc __gmpz_realloc
__GMP_DECLSPEC void *_mpz_realloc __GMP_PROTO ((mpz_ptr, mp_size_t));
#define mpz_abs __gmpz_abs
#define __GMP_MPZ_ABS_MIN_ALLOC(x,y) (__GMP_ABS(y->_mp_size))
#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs)
__GMP_DECLSPEC void mpz_abs __GMP_PROTO ((mpz_ptr, mpz_srcptr));
#endif
#define __GMP_MPZ_ADD_MIN_ALLOC(x,y,z) (__GMP_MAX(__GMP_ABS(y->_mp_size),__GMP_ABS(z->_mp_size))+1)
#define mpz_add __gmpz_add
__GMP_DECLSPEC void mpz_add __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
#define __GMP_MPZ_ADD_UI_MIN_ALLOC(x,y,z) (__GMP_MAX(__GMP_ABS(y->_mp_size),1+(__GMP_BITS_PER_ULONG-1)/GMP_NUMB_BITS)+1)
#define mpz_add_ui __gmpz_add_ui
__GMP_DECLSPEC void mpz_add_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
#define mpz_addmul __gmpz_addmul
__GMP_DECLSPEC void mpz_addmul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
#define mpz_addmul_ui __gmpz_addmul_ui
__GMP_DECLSPEC void mpz_addmul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
#define mpz_and __gmpz_and
__GMP_DECLSPEC void mpz_and __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
#define mpz_array_init __gmpz_array_init
__GMP_DECLSPEC void mpz_array_init __GMP_PROTO ((mpz_ptr, mp_size_t, mp_size_t));
#define mpz_bin_ui __gmpz_bin_ui
__GMP_DECLSPEC void mpz_bin_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
#define mpz_bin_uiui __gmpz_bin_uiui
__GMP_DECLSPEC void mpz_bin_uiui __GMP_PROTO ((mpz_ptr, unsigned long int, unsigned long int));
#define mpz_cdiv_q __gmpz_cdiv_q
__GMP_DECLSPEC void mpz_cdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
#define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
__GMP_DECLSPEC void mpz_cdiv_q_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long));
#define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
__GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
#define mpz_cdiv_qr __gmpz_cdiv_qr
__GMP_DECLSPEC void mpz_cdiv_qr __GMP_PROTO ((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 __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
#define mpz_cdiv_r __gmpz_cdiv_r
__GMP_DECLSPEC void mpz_cdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
#define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
__GMP_DECLSPEC void mpz_cdiv_r_2exp __GMP_PROTO ((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 __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
#define mpz_cdiv_ui __gmpz_cdiv_ui
__GMP_DECLSPEC unsigned long int mpz_cdiv_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
#define mpz_clear __gmpz_clear
__GMP_DECLSPEC void mpz_clear __GMP_PROTO ((mpz_ptr));
#define mpz_clears __gmpz_clears
__GMP_DECLSPEC void mpz_clears __GMP_PROTO ((mpz_ptr, ...));
#define mpz_clrbit __gmpz_clrbit
__GMP_DECLSPEC void mpz_clrbit __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
#define mpz_cmp __gmpz_cmp
__GMP_DECLSPEC int mpz_cmp __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define mpz_cmp_d __gmpz_cmp_d
__GMP_DECLSPEC int mpz_cmp_d __GMP_PROTO ((mpz_srcptr, double)) __GMP_ATTRIBUTE_PURE;
#define _mpz_cmp_si __gmpz_cmp_si
__GMP_DECLSPEC int _mpz_cmp_si __GMP_PROTO ((mpz_srcptr, signed long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define _mpz_cmp_ui __gmpz_cmp_ui
__GMP_DECLSPEC int _mpz_cmp_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define mpz_cmpabs __gmpz_cmpabs
__GMP_DECLSPEC int mpz_cmpabs __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define mpz_cmpabs_d __gmpz_cmpabs_d
__GMP_DECLSPEC int mpz_cmpabs_d __GMP_PROTO ((mpz_srcptr, double)) __GMP_ATTRIBUTE_PURE;
#define mpz_cmpabs_ui __gmpz_cmpabs_ui
__GMP_DECLSPEC int mpz_cmpabs_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define mpz_com __gmpz_com
__GMP_DECLSPEC void mpz_com __GMP_PROTO ((mpz_ptr, mpz_srcptr));
#define mpz_combit __gmpz_combit
__GMP_DECLSPEC void mpz_combit __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
#define mpz_congruent_p __gmpz_congruent_p
__GMP_DECLSPEC int mpz_congruent_p __GMP_PROTO ((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 __GMP_PROTO ((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 __GMP_PROTO ((mpz_srcptr, unsigned long, unsigned long)) __GMP_ATTRIBUTE_PURE;
#define mpz_divexact __gmpz_divexact
__GMP_DECLSPEC void mpz_divexact __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
#define mpz_divexact_ui __gmpz_divexact_ui
__GMP_DECLSPEC void mpz_divexact_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long));
#define mpz_divisible_p __gmpz_divisible_p
__GMP_DECLSPEC int mpz_divisible_p __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
#define mpz_divisible_ui_p __gmpz_divisible_ui_p
__GMP_DECLSPEC int mpz_divisible_ui_p __GMP_PROTO ((mpz_srcptr, unsigned long)) __GMP_ATTRIBUTE_PURE;
#define mpz_divisible_2exp_p __gmpz_divisible_2exp_p
__GMP_DECLSPEC int mpz_divisible_2exp_p __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define mpz_dump __gmpz_dump
__GMP_DECLSPEC void mpz_dump __GMP_PROTO ((mpz_srcptr));
#define mpz_export __gmpz_export
__GMP_DECLSPEC void *mpz_export __GMP_PROTO ((void *, size_t *, int, size_t, int, size_t, mpz_srcptr));
#define mpz_fac_ui __gmpz_fac_ui
__GMP_DECLSPEC void mpz_fac_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
#define mpz_fdiv_q __gmpz_fdiv_q
__GMP_DECLSPEC void mpz_fdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
#define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
__GMP_DECLSPEC void mpz_fdiv_q_2exp __GMP_PROTO ((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 __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
#define mpz_fdiv_qr __gmpz_fdiv_qr
__GMP_DECLSPEC void mpz_fdiv_qr __GMP_PROTO ((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 __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
#define mpz_fdiv_r __gmpz_fdiv_r
__GMP_DECLSPEC void mpz_fdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
#define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
__GMP_DECLSPEC void mpz_fdiv_r_2exp __GMP_PROTO ((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 __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
#define mpz_fdiv_ui __gmpz_fdiv_ui
__GMP_DECLSPEC unsigned long int mpz_fdiv_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
#define mpz_fib_ui __gmpz_fib_ui
__GMP_DECLSPEC void mpz_fib_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
#define mpz_fib2_ui __gmpz_fib2_ui
__GMP_DECLSPEC void mpz_fib2_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, unsigned long int));
#define mpz_fits_sint_p __gmpz_fits_sint_p
__GMP_DECLSPEC int mpz_fits_sint_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define mpz_fits_slong_p __gmpz_fits_slong_p
__GMP_DECLSPEC int mpz_fits_slong_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define mpz_fits_sshort_p __gmpz_fits_sshort_p
__GMP_DECLSPEC int mpz_fits_sshort_p __GMP_PROTO ((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 __GMP_PROTO ((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 __GMP_PROTO ((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 __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#endif
#define mpz_gcd __gmpz_gcd
__GMP_DECLSPEC void mpz_gcd __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
#define mpz_gcd_ui __gmpz_gcd_ui
__GMP_DECLSPEC unsigned long int mpz_gcd_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
#define mpz_gcdext __gmpz_gcdext
__GMP_DECLSPEC void mpz_gcdext __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
#define mpz_get_d __gmpz_get_d
__GMP_DECLSPEC double mpz_get_d __GMP_PROTO ((mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
#define mpz_get_d_2exp __gmpz_get_d_2exp
__GMP_DECLSPEC double mpz_get_d_2exp __GMP_PROTO ((signed long int *, mpz_srcptr));
#define mpz_get_si __gmpz_get_si
__GMP_DECLSPEC /* signed */ long int mpz_get_si __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define mpz_get_str __gmpz_get_str
__GMP_DECLSPEC char *mpz_get_str __GMP_PROTO ((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 __GMP_PROTO ((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 __GMP_PROTO ((mpz_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#endif
#define mpz_hamdist __gmpz_hamdist
__GMP_DECLSPEC mp_bitcnt_t mpz_hamdist __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
#define mpz_import __gmpz_import
__GMP_DECLSPEC void mpz_import __GMP_PROTO ((mpz_ptr, size_t, int, size_t, int, size_t, __gmp_const void *));
#define mpz_init __gmpz_init
__GMP_DECLSPEC void mpz_init __GMP_PROTO ((mpz_ptr));
#define mpz_init2 __gmpz_init2
__GMP_DECLSPEC void mpz_init2 __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
#define mpz_inits __gmpz_inits
__GMP_DECLSPEC void mpz_inits __GMP_PROTO ((mpz_ptr, ...));
#define mpz_init_set __gmpz_init_set
__GMP_DECLSPEC void mpz_init_set __GMP_PROTO ((mpz_ptr, mpz_srcptr));
#define mpz_init_set_d __gmpz_init_set_d
__GMP_DECLSPEC void mpz_init_set_d __GMP_PROTO ((mpz_ptr, double));
#define mpz_init_set_si __gmpz_init_set_si
__GMP_DECLSPEC void mpz_init_set_si __GMP_PROTO ((mpz_ptr, signed long int));
#define mpz_init_set_str __gmpz_init_set_str
__GMP_DECLSPEC int mpz_init_set_str __GMP_PROTO ((mpz_ptr, __gmp_const char *, int));
#define mpz_init_set_ui __gmpz_init_set_ui
__GMP_DECLSPEC void mpz_init_set_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
#define mpz_inp_raw __gmpz_inp_raw
#ifdef _GMP_H_HAVE_FILE
__GMP_DECLSPEC size_t mpz_inp_raw __GMP_PROTO ((mpz_ptr, FILE *));
#endif
#define mpz_inp_str __gmpz_inp_str
#ifdef _GMP_H_HAVE_FILE
__GMP_DECLSPEC size_t mpz_inp_str __GMP_PROTO ((mpz_ptr, FILE *, int));
#endif
#define mpz_invert __gmpz_invert
__GMP_DECLSPEC int mpz_invert __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
#define mpz_ior __gmpz_ior
__GMP_DECLSPEC void mpz_ior __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
#define mpz_jacobi __gmpz_jacobi
__GMP_DECLSPEC int mpz_jacobi __GMP_PROTO ((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 __GMP_PROTO ((mpz_srcptr, long)) __GMP_ATTRIBUTE_PURE;
#define mpz_kronecker_ui __gmpz_kronecker_ui
__GMP_DECLSPEC int mpz_kronecker_ui __GMP_PROTO ((mpz_srcptr, unsigned long)) __GMP_ATTRIBUTE_PURE;
#define mpz_si_kronecker __gmpz_si_kronecker
__GMP_DECLSPEC int mpz_si_kronecker __GMP_PROTO ((long, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
#define mpz_ui_kronecker __gmpz_ui_kronecker
__GMP_DECLSPEC int mpz_ui_kronecker __GMP_PROTO ((unsigned long, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
#define mpz_lcm __gmpz_lcm
__GMP_DECLSPEC void mpz_lcm __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
#define mpz_lcm_ui __gmpz_lcm_ui
__GMP_DECLSPEC void mpz_lcm_ui __GMP_PROTO ((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 __GMP_PROTO ((mpz_ptr, unsigned long int));
#define mpz_lucnum2_ui __gmpz_lucnum2_ui
__GMP_DECLSPEC void mpz_lucnum2_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, unsigned long int));
#define mpz_millerrabin __gmpz_millerrabin
__GMP_DECLSPEC int mpz_millerrabin __GMP_PROTO ((mpz_srcptr, int)) __GMP_ATTRIBUTE_PURE;
#define mpz_mod __gmpz_mod
__GMP_DECLSPEC void mpz_mod __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
#define mpz_mod_ui mpz_fdiv_r_ui /* same as fdiv_r because divisor unsigned */
#define __GMP_MPZ_MUL_MIN_ALLOC(x,y,z) (__GMP_ABS(y->_mp_size)+__GMP_ABS(z->_mp_size)+1)
#define mpz_mul __gmpz_mul
__GMP_DECLSPEC void mpz_mul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
#define mpz_mul_2exp __gmpz_mul_2exp
__GMP_DECLSPEC void mpz_mul_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
#define __GMP_MPZ_MUL_SI_MIN_ALLOC(x,y,z) (__GMP_ABS(y->_mp_size)+(__GMP_BITS_PER_ULONG-1)/GMP_NUMB_BITS+1)
#define mpz_mul_si __gmpz_mul_si
__GMP_DECLSPEC void mpz_mul_si __GMP_PROTO ((mpz_ptr, mpz_srcptr, long int));
#define __GMP_MPZ_MUL_UI_MIN_ALLOC(x,y,z) (__GMP_ABS(y->_mp_size)+(__GMP_BITS_PER_ULONG-1)/GMP_NUMB_BITS+1)
#define mpz_mul_ui __gmpz_mul_ui
__GMP_DECLSPEC void mpz_mul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));