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Diffstat (limited to 'gmp.h')
| -rw-r--r-- | gmp.h | 2329 |
1 files changed, 2329 insertions, 0 deletions
@@ -0,0 +1,2329 @@ +/* Definitions for GNU multiple precision functions. -*- mode: c -*- + +Copyright 1991, 1993-1997, 1999-2016 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) +#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. + 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); + +#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, ...); + +#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 +__GMP_DECLSPEC int mpz_root (mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_rootrem __gmpz_rootrem +__GMP_DECLSPEC void mpz_rootrem (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_rrandomb __gmpz_rrandomb +__GMP_DECLSPEC void mpz_rrandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t); + +#define mpz_scan0 __gmpz_scan0 +__GMP_DECLSPEC mp_bitcnt_t mpz_scan0 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpz_scan1 __gmpz_scan1 +__GMP_DECLSPEC mp_bitcnt_t mpz_scan1 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpz_set __gmpz_set +__GMP_DECLSPEC void mpz_set (mpz_ptr, mpz_srcptr); + +#define mpz_set_d __gmpz_set_d +__GMP_DECLSPEC void mpz_set_d (mpz_ptr, double); + +#define mpz_set_f __gmpz_set_f +__GMP_DECLSPEC void mpz_set_f (mpz_ptr, mpf_srcptr); + +#define mpz_set_q __gmpz_set_q +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_set_q) +__GMP_DECLSPEC void mpz_set_q (mpz_ptr, mpq_srcptr); +#endif + +#define mpz_set_si __gmpz_set_si +__GMP_DECLSPEC void mpz_set_si (mpz_ptr, signed long int); + +#define mpz_set_str __gmpz_set_str +__GMP_DECLSPEC int mpz_set_str (mpz_ptr, const char *, int); + +#define mpz_set_ui __gmpz_set_ui +__GMP_DECLSPEC void mpz_set_ui (mpz_ptr, unsigned long int); + +#define mpz_setbit __gmpz_setbit +__GMP_DECLSPEC void mpz_setbit (mpz_ptr, mp_bitcnt_t); + +#define mpz_size __gmpz_size +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_size) +__GMP_DECLSPEC size_t mpz_size (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; +#endif + +#define mpz_sizeinbase __gmpz_sizeinbase +__GMP_DECLSPEC size_t mpz_sizeinbase (mpz_srcptr, int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpz_sqrt __gmpz_sqrt +__GMP_DECLSPEC void mpz_sqrt (mpz_ptr, mpz_srcptr); + +#define mpz_sqrtrem __gmpz_sqrtrem +__GMP_DECLSPEC void mpz_sqrtrem (mpz_ptr, mpz_ptr, mpz_srcptr); + +#define mpz_sub __gmpz_sub +__GMP_DECLSPEC void mpz_sub (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_sub_ui __gmpz_sub_ui +__GMP_DECLSPEC void mpz_sub_ui (mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_ui_sub __gmpz_ui_sub +__GMP_DECLSPEC void mpz_ui_sub (mpz_ptr, unsigned long int, mpz_srcptr); + +#define mpz_submul __gmpz_submul +__GMP_DECLSPEC void mpz_submul (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_submul_ui __gmpz_submul_ui +__GMP_DECLSPEC void mpz_submul_ui (mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_swap __gmpz_swap +__GMP_DECLSPEC void mpz_swap (mpz_ptr, mpz_ptr) __GMP_NOTHROW; + +#define mpz_tdiv_ui __gmpz_tdiv_ui +__GMP_DECLSPEC unsigned long int mpz_tdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE; + +#define mpz_tdiv_q __gmpz_tdiv_q +__GMP_DECLSPEC void mpz_tdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp +__GMP_DECLSPEC void mpz_tdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t); + +#define mpz_tdiv_q_ui __gmpz_tdiv_q_ui +__GMP_DECLSPEC unsigned long int mpz_tdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_tdiv_qr __gmpz_tdiv_qr +__GMP_DECLSPEC void mpz_tdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui +__GMP_DECLSPEC unsigned long int mpz_tdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_tdiv_r __gmpz_tdiv_r +__GMP_DECLSPEC void mpz_tdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp +__GMP_DECLSPEC void mpz_tdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t); + +#define mpz_tdiv_r_ui __gmpz_tdiv_r_ui +__GMP_DECLSPEC unsigned long int mpz_tdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_tstbit __gmpz_tstbit +__GMP_DECLSPEC int mpz_tstbit (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpz_ui_pow_ui __gmpz_ui_pow_ui +__GMP_DECLSPEC void mpz_ui_pow_ui (mpz_ptr, unsigned long int, unsigned long int); + +#define mpz_urandomb __gmpz_urandomb +__GMP_DECLSPEC void mpz_urandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t); + +#define mpz_urandomm __gmpz_urandomm +__GMP_DECLSPEC void mpz_urandomm (mpz_ptr, gmp_randstate_t, mpz_srcptr); + +#define mpz_xor __gmpz_xor +#define mpz_eor __gmpz_xor +__GMP_DECLSPEC void mpz_xor (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_limbs_read __gmpz_limbs_read +__GMP_DECLSPEC mp_srcptr mpz_limbs_read (mpz_srcptr); + +#define mpz_limbs_write __gmpz_limbs_write +__GMP_DECLSPEC mp_ptr mpz_limbs_write (mpz_ptr, mp_size_t); + +#define mpz_limbs_modify __gmpz_limbs_modify +__GMP_DECLSPEC mp_ptr mpz_limbs_modify (mpz_ptr, mp_size_t); + +#define mpz_limbs_finish __gmpz_limbs_finish +__GMP_DECLSPEC void mpz_limbs_finish (mpz_ptr, mp_size_t); + +#define mpz_roinit_n __gmpz_roinit_n +__GMP_DECLSPEC mpz_srcptr mpz_roinit_n (mpz_ptr, mp_srcptr, mp_size_t); + +#define MPZ_ROINIT_N(xp, xs) {{0, (xs),(xp) }} + +/**************** Rational (i.e. Q) routines. ****************/ + +#define mpq_abs __gmpq_abs +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_abs) +__GMP_DECLSPEC void mpq_abs (mpq_ptr, mpq_srcptr); +#endif + +#define mpq_add __gmpq_add +__GMP_DECLSPEC void mpq_add (mpq_ptr, mpq_srcptr, mpq_srcptr); + +#define mpq_canonicalize __gmpq_canonicalize +__GMP_DECLSPEC void mpq_canonicalize (mpq_ptr); + +#define mpq_clear __gmpq_clear +__GMP_DECLSPEC void mpq_clear (mpq_ptr); + +#define mpq_clears __gmpq_clears +__GMP_DECLSPEC void mpq_clears (mpq_ptr, ...); + +#define mpq_cmp __gmpq_cmp +__GMP_DECLSPEC int mpq_cmp (mpq_srcptr, mpq_srcptr) __GMP_ATTRIBUTE_PURE; + +#define _mpq_cmp_si __gmpq_cmp_si +__GMP_DECLSPEC int _mpq_cmp_si (mpq_srcptr, long, unsigned long) __GMP_ATTRIBUTE_PURE; + +#define _mpq_cmp_ui __gmpq_cmp_ui +__GMP_DECLSPEC int _mpq_cmp_ui (mpq_srcptr, unsigned long int, unsigned long int) __GMP_ATTRIBUTE_PURE; + +#define mpq_cmp_z __gmpq_cmp_z +__GMP_DECLSPEC int mpq_cmp_z (mpq_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE; + +#define mpq_div __gmpq_div +__GMP_DECLSPEC void mpq_div (mpq_ptr, mpq_srcptr, mpq_srcptr); + +#define mpq_div_2exp __gmpq_div_2exp +__GMP_DECLSPEC void mpq_div_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t); + +#define mpq_equal __gmpq_equal +__GMP_DECLSPEC int mpq_equal (mpq_srcptr, mpq_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpq_get_num __gmpq_get_num +__GMP_DECLSPEC void mpq_get_num (mpz_ptr, mpq_srcptr); + +#define mpq_get_den __gmpq_get_den +__GMP_DECLSPEC void mpq_get_den (mpz_ptr, mpq_srcptr); + +#define mpq_get_d __gmpq_get_d +__GMP_DECLSPEC double mpq_get_d (mpq_srcptr) __GMP_ATTRIBUTE_PURE; + +#define mpq_get_str __gmpq_get_str +__GMP_DECLSPEC char *mpq_get_str (char *, int, mpq_srcptr); + +#define mpq_init __gmpq_init +__GMP_DECLSPEC void mpq_init (mpq_ptr); + +#define mpq_inits __gmpq_inits +__GMP_DECLSPEC void mpq_inits (mpq_ptr, ...); + +#define mpq_inp_str __gmpq_inp_str +#ifdef _GMP_H_HAVE_FILE +__GMP_DECLSPEC size_t mpq_inp_str (mpq_ptr, FILE *, int); +#endif + +#define mpq_inv __gmpq_inv +__GMP_DECLSPEC void mpq_inv (mpq_ptr, mpq_srcptr); + +#define mpq_mul __gmpq_mul +__GMP_DECLSPEC void mpq_mul (mpq_ptr, mpq_srcptr, mpq_srcptr); + +#define mpq_mul_2exp __gmpq_mul_2exp +__GMP_DECLSPEC void mpq_mul_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t); + +#define mpq_neg __gmpq_neg +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_neg) +__GMP_DECLSPEC void mpq_neg (mpq_ptr, mpq_srcptr); +#endif + +#define mpq_out_str __gmpq_out_str +#ifdef _GMP_H_HAVE_FILE +__GMP_DECLSPEC size_t mpq_out_str (FILE *, int, mpq_srcptr); +#endif + +#define mpq_set __gmpq_set +__GMP_DECLSPEC void mpq_set (mpq_ptr, mpq_srcptr); + +#define mpq_set_d __gmpq_set_d +__GMP_DECLSPEC void mpq_set_d (mpq_ptr, double); + +#define mpq_set_den __gmpq_set_den +__GMP_DECLSPEC void mpq_set_den (mpq_ptr, mpz_srcptr); + +#define mpq_set_f __gmpq_set_f +__GMP_DECLSPEC void mpq_set_f (mpq_ptr, mpf_srcptr); + +#define mpq_set_num __gmpq_set_num +__GMP_DECLSPEC void mpq_set_num (mpq_ptr, mpz_srcptr); + +#define mpq_set_si __gmpq_set_si +__GMP_DECLSPEC void mpq_set_si (mpq_ptr, signed long int, unsigned long int); + +#define mpq_set_str __gmpq_set_str +__GMP_DECLSPEC int mpq_set_str (mpq_ptr, const char *, int); + +#define mpq_set_ui __gmpq_set_ui +__GMP_DECLSPEC void mpq_set_ui (mpq_ptr, unsigned long int, unsigned long int); + +#define mpq_set_z __gmpq_set_z +__GMP_DECLSPEC void mpq_set_z (mpq_ptr, mpz_srcptr); + +#define mpq_sub __gmpq_sub +__GMP_DECLSPEC void mpq_sub (mpq_ptr, mpq_srcptr, mpq_srcptr); + +#define mpq_swap __gmpq_swap +__GMP_DECLSPEC void mpq_swap (mpq_ptr, mpq_ptr) __GMP_NOTHROW; + + +/**************** Float (i.e. F) routines. ****************/ + +#define mpf_abs __gmpf_abs +__GMP_DECLSPEC void mpf_abs (mpf_ptr, mpf_srcptr); + +#define mpf_add __gmpf_add +__GMP_DECLSPEC void mpf_add (mpf_ptr, mpf_srcptr, mpf_srcptr); + +#define mpf_add_ui __gmpf_add_ui +__GMP_DECLSPEC void mpf_add_ui (mpf_ptr, mpf_srcptr, unsigned long int); +#define mpf_ceil __gmpf_ceil +__GMP_DECLSPEC void mpf_ceil (mpf_ptr, mpf_srcptr); + +#define mpf_clear __gmpf_clear +__GMP_DECLSPEC void mpf_clear (mpf_ptr); + +#define mpf_clears __gmpf_clears +__GMP_DECLSPEC void mpf_clears (mpf_ptr, ...); + +#define mpf_cmp __gmpf_cmp +__GMP_DECLSPEC int mpf_cmp (mpf_srcptr, mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_cmp_z __gmpf_cmp_z +__GMP_DECLSPEC int mpf_cmp_z (mpf_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_cmp_d __gmpf_cmp_d +__GMP_DECLSPEC int mpf_cmp_d (mpf_srcptr, double) __GMP_ATTRIBUTE_PURE; + +#define mpf_cmp_si __gmpf_cmp_si +__GMP_DECLSPEC int mpf_cmp_si (mpf_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_cmp_ui __gmpf_cmp_ui +__GMP_DECLSPEC int mpf_cmp_ui (mpf_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_div __gmpf_div +__GMP_DECLSPEC void mpf_div (mpf_ptr, mpf_srcptr, mpf_srcptr); + +#define mpf_div_2exp __gmpf_div_2exp +__GMP_DECLSPEC void mpf_div_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t); + +#define mpf_div_ui __gmpf_div_ui +__GMP_DECLSPEC void mpf_div_ui (mpf_ptr, mpf_srcptr, unsigned long int); + +#define mpf_dump __gmpf_dump +__GMP_DECLSPEC void mpf_dump (mpf_srcptr); + +#define mpf_eq __gmpf_eq +__GMP_DECLSPEC int mpf_eq (mpf_srcptr, mpf_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE; + +#define mpf_fits_sint_p __gmpf_fits_sint_p +__GMP_DECLSPEC int mpf_fits_sint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_fits_slong_p __gmpf_fits_slong_p +__GMP_DECLSPEC int mpf_fits_slong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_fits_sshort_p __gmpf_fits_sshort_p +__GMP_DECLSPEC int mpf_fits_sshort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_fits_uint_p __gmpf_fits_uint_p +__GMP_DECLSPEC int mpf_fits_uint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_fits_ulong_p __gmpf_fits_ulong_p +__GMP_DECLSPEC int mpf_fits_ulong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_fits_ushort_p __gmpf_fits_ushort_p +__GMP_DECLSPEC int mpf_fits_ushort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_floor __gmpf_floor +__GMP_DECLSPEC void mpf_floor (mpf_ptr, mpf_srcptr); + +#define mpf_get_d __gmpf_get_d +__GMP_DECLSPEC double mpf_get_d (mpf_srcptr) __GMP_ATTRIBUTE_PURE; + +#define mpf_get_d_2exp __gmpf_get_d_2exp +__GMP_DECLSPEC double mpf_get_d_2exp (signed long int *, mpf_srcptr); + +#define mpf_get_default_prec __gmpf_get_default_prec +__GMP_DECLSPEC mp_bitcnt_t mpf_get_default_prec (void) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_get_prec __gmpf_get_prec +__GMP_DECLSPEC mp_bitcnt_t mpf_get_prec (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_get_si __gmpf_get_si +__GMP_DECLSPEC long mpf_get_si (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_get_str __gmpf_get_str +__GMP_DECLSPEC char *mpf_get_str (char *, mp_exp_t *, int, size_t, mpf_srcptr); + +#define mpf_get_ui __gmpf_get_ui +__GMP_DECLSPEC unsigned long mpf_get_ui (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_init __gmpf_init +__GMP_DECLSPEC void mpf_init (mpf_ptr); + +#define mpf_init2 __gmpf_init2 +__GMP_DECLSPEC void mpf_init2 (mpf_ptr, mp_bitcnt_t); + +#define mpf_inits __gmpf_inits +__GMP_DECLSPEC void mpf_inits (mpf_ptr, ...); + +#define mpf_init_set __gmpf_init_set +__GMP_DECLSPEC void mpf_init_set (mpf_ptr, mpf_srcptr); + +#define mpf_init_set_d __gmpf_init_set_d +__GMP_DECLSPEC void mpf_init_set_d (mpf_ptr, double); + +#define mpf_init_set_si __gmpf_init_set_si +__GMP_DECLSPEC void mpf_init_set_si (mpf_ptr, signed long int); + +#define mpf_init_set_str __gmpf_init_set_str +__GMP_DECLSPEC int mpf_init_set_str (mpf_ptr, const char *, int); + +#define mpf_init_set_ui __gmpf_init_set_ui +__GMP_DECLSPEC void mpf_init_set_ui (mpf_ptr, unsigned long int); + +#define mpf_inp_str __gmpf_inp_str +#ifdef _GMP_H_HAVE_FILE +__GMP_DECLSPEC size_t mpf_inp_str (mpf_ptr, FILE *, int); +#endif + +#define mpf_integer_p __gmpf_integer_p +__GMP_DECLSPEC int mpf_integer_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_mul __gmpf_mul +__GMP_DECLSPEC void mpf_mul (mpf_ptr, mpf_srcptr, mpf_srcptr); + +#define mpf_mul_2exp __gmpf_mul_2exp +__GMP_DECLSPEC void mpf_mul_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t); + +#define mpf_mul_ui __gmpf_mul_ui +__GMP_DECLSPEC void mpf_mul_ui (mpf_ptr, mpf_srcptr, unsigned long int); + +#define mpf_neg __gmpf_neg +__GMP_DECLSPEC void mpf_neg (mpf_ptr, mpf_srcptr); + +#define mpf_out_str __gmpf_out_str +#ifdef _GMP_H_HAVE_FILE +__GMP_DECLSPEC size_t mpf_out_str (FILE *, int, size_t, mpf_srcptr); +#endif + +#define mpf_pow_ui __gmpf_pow_ui +__GMP_DECLSPEC void mpf_pow_ui (mpf_ptr, mpf_srcptr, unsigned long int); + +#define mpf_random2 __gmpf_random2 +__GMP_DECLSPEC void mpf_random2 (mpf_ptr, mp_size_t, mp_exp_t); + +#define mpf_reldiff __gmpf_reldiff +__GMP_DECLSPEC void mpf_reldiff (mpf_ptr, mpf_srcptr, mpf_srcptr); + +#define mpf_set __gmpf_set +__GMP_DECLSPEC void mpf_set (mpf_ptr, mpf_srcptr); + +#define mpf_set_d __gmpf_set_d +__GMP_DECLSPEC void mpf_set_d (mpf_ptr, double); + +#define mpf_set_default_prec __gmpf_set_default_prec +__GMP_DECLSPEC void mpf_set_default_prec (mp_bitcnt_t) __GMP_NOTHROW; + +#define mpf_set_prec __gmpf_set_prec +__GMP_DECLSPEC void mpf_set_prec (mpf_ptr, mp_bitcnt_t); + +#define mpf_set_prec_raw __gmpf_set_prec_raw +__GMP_DECLSPEC void mpf_set_prec_raw (mpf_ptr, mp_bitcnt_t) __GMP_NOTHROW; + +#define mpf_set_q __gmpf_set_q +__GMP_DECLSPEC void mpf_set_q (mpf_ptr, mpq_srcptr); + +#define mpf_set_si __gmpf_set_si +__GMP_DECLSPEC void mpf_set_si (mpf_ptr, signed long int); + +#define mpf_set_str __gmpf_set_str +__GMP_DECLSPEC int mpf_set_str (mpf_ptr, const char *, int); + +#define mpf_set_ui __gmpf_set_ui +__GMP_DECLSPEC void mpf_set_ui (mpf_ptr, unsigned long int); + +#define mpf_set_z __gmpf_set_z +__GMP_DECLSPEC void mpf_set_z (mpf_ptr, mpz_srcptr); + +#define mpf_size __gmpf_size +__GMP_DECLSPEC size_t mpf_size (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_sqrt __gmpf_sqrt +__GMP_DECLSPEC void mpf_sqrt (mpf_ptr, mpf_srcptr); + +#define mpf_sqrt_ui __gmpf_sqrt_ui +__GMP_DECLSPEC void mpf_sqrt_ui (mpf_ptr, unsigned long int); + +#define mpf_sub __gmpf_sub +__GMP_DECLSPEC void mpf_sub (mpf_ptr, mpf_srcptr, mpf_srcptr); + +#define mpf_sub_ui __gmpf_sub_ui +__GMP_DECLSPEC void mpf_sub_ui (mpf_ptr, mpf_srcptr, unsigned long int); + +#define mpf_swap __gmpf_swap +__GMP_DECLSPEC void mpf_swap (mpf_ptr, mpf_ptr) __GMP_NOTHROW; + +#define mpf_trunc __gmpf_trunc +__GMP_DECLSPEC void mpf_trunc (mpf_ptr, mpf_srcptr); + +#define mpf_ui_div __gmpf_ui_div +__GMP_DECLSPEC void mpf_ui_div (mpf_ptr, unsigned long int, mpf_srcptr); + +#define mpf_ui_sub __gmpf_ui_sub +__GMP_DECLSPEC void mpf_ui_sub (mpf_ptr, unsigned long int, mpf_srcptr); + +#define mpf_urandomb __gmpf_urandomb +__GMP_DECLSPEC void mpf_urandomb (mpf_t, gmp_randstate_t, mp_bitcnt_t); + + +/************ Low level positive-integer (i.e. N) routines. ************/ + +/* This is ugly, but we need to make user calls reach the prefixed function. */ + +#define mpn_add __MPN(add) +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add) +__GMP_DECLSPEC mp_limb_t mpn_add (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t); +#endif + +#define mpn_add_1 __MPN(add_1) +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add_1) +__GMP_DECLSPEC mp_limb_t mpn_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW; +#endif + +#define mpn_add_n __MPN(add_n) +__GMP_DECLSPEC mp_limb_t mpn_add_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); + +#define mpn_addmul_1 __MPN(addmul_1) +__GMP_DECLSPEC mp_limb_t mpn_addmul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t); + +#define mpn_cmp __MPN(cmp) +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_cmp) +__GMP_DECLSPEC int mpn_cmp (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; +#endif + +#define mpn_zero_p __MPN(zero_p) +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_zero_p) +__GMP_DECLSPEC int mpn_zero_p (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; +#endif + +#define mpn_divexact_1 __MPN(divexact_1) +__GMP_DECLSPEC void mpn_divexact_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t); + +#define mpn_divexact_by3(dst,src,size) \ + mpn_divexact_by3c (dst, src, size, __GMP_CAST (mp_limb_t, 0)) + +#define mpn_divexact_by3c __MPN(divexact_by3c) +__GMP_DECLSPEC mp_limb_t mpn_divexact_by3c (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t); + +#define mpn_divmod_1(qp,np,nsize,dlimb) \ + mpn_divrem_1 (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dlimb) + +#define mpn_divrem __MPN(divrem) +__GMP_DECLSPEC mp_limb_t mpn_divrem (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t); + +#define mpn_divrem_1 __MPN(divrem_1) +__GMP_DECLSPEC mp_limb_t mpn_divrem_1 (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t); + +#define mpn_divrem_2 __MPN(divrem_2) +__GMP_DECLSPEC mp_limb_t mpn_divrem_2 (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr); + +#define mpn_div_qr_1 __MPN(div_qr_1) +__GMP_DECLSPEC mp_limb_t mpn_div_qr_1 (mp_ptr, mp_limb_t *, mp_srcptr, mp_size_t, mp_limb_t); + +#define mpn_div_qr_2 __MPN(div_qr_2) +__GMP_DECLSPEC mp_limb_t mpn_div_qr_2 (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_srcptr); + +#define mpn_gcd __MPN(gcd) +__GMP_DECLSPEC mp_size_t mpn_gcd (mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t); + +#define mpn_gcd_1 __MPN(gcd_1) +__GMP_DECLSPEC mp_limb_t mpn_gcd_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_gcdext_1 __MPN(gcdext_1) +__GMP_DECLSPEC mp_limb_t mpn_gcdext_1 (mp_limb_signed_t *, mp_limb_signed_t *, mp_limb_t, mp_limb_t); + +#define mpn_gcdext __MPN(gcdext) +__GMP_DECLSPEC mp_size_t mpn_gcdext (mp_ptr, mp_ptr, mp_size_t *, mp_ptr, mp_size_t, mp_ptr, mp_size_t); + +#define mpn_get_str __MPN(get_str) +__GMP_DECLSPEC size_t mpn_get_str (unsigned char *, int, mp_ptr, mp_size_t); + +#define mpn_hamdist __MPN(hamdist) +__GMP_DECLSPEC mp_bitcnt_t mpn_hamdist (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpn_lshift __MPN(lshift) +__GMP_DECLSPEC mp_limb_t mpn_lshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int); + +#define mpn_mod_1 __MPN(mod_1) +__GMP_DECLSPEC mp_limb_t mpn_mod_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_mul __MPN(mul) +__GMP_DECLSPEC mp_limb_t mpn_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t); + +#define mpn_mul_1 __MPN(mul_1) +__GMP_DECLSPEC mp_limb_t mpn_mul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t); + +#define mpn_mul_n __MPN(mul_n) +__GMP_DECLSPEC void mpn_mul_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); + +#define mpn_sqr __MPN(sqr) +__GMP_DECLSPEC void mpn_sqr (mp_ptr, mp_srcptr, mp_size_t); + +#define mpn_neg __MPN(neg) +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_neg) +__GMP_DECLSPEC mp_limb_t mpn_neg (mp_ptr, mp_srcptr, mp_size_t); +#endif + +#define mpn_com __MPN(com) +__GMP_DECLSPEC void mpn_com (mp_ptr, mp_srcptr, mp_size_t); + +#define mpn_perfect_square_p __MPN(perfect_square_p) +__GMP_DECLSPEC int mpn_perfect_square_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_perfect_power_p __MPN(perfect_power_p) +__GMP_DECLSPEC int mpn_perfect_power_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_popcount __MPN(popcount) +__GMP_DECLSPEC mp_bitcnt_t mpn_popcount (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpn_pow_1 __MPN(pow_1) +__GMP_DECLSPEC mp_size_t mpn_pow_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr); + +/* undocumented now, but retained here for upward compatibility */ +#define mpn_preinv_mod_1 __MPN(preinv_mod_1) +__GMP_DECLSPEC mp_limb_t mpn_preinv_mod_1 (mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_random __MPN(random) +__GMP_DECLSPEC void mpn_random (mp_ptr, mp_size_t); + +#define mpn_random2 __MPN(random2) +__GMP_DECLSPEC void mpn_random2 (mp_ptr, mp_size_t); + +#define mpn_rshift __MPN(rshift) +__GMP_DECLSPEC mp_limb_t mpn_rshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int); + +#define mpn_scan0 __MPN(scan0) +__GMP_DECLSPEC mp_bitcnt_t mpn_scan0 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_scan1 __MPN(scan1) +__GMP_DECLSPEC mp_bitcnt_t mpn_scan1 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_set_str __MPN(set_str) +__GMP_DECLSPEC mp_size_t mpn_set_str (mp_ptr, const unsigned char *, size_t, int); + +#define mpn_sizeinbase __MPN(sizeinbase) +__GMP_DECLSPEC size_t mpn_sizeinbase (mp_srcptr, mp_size_t, int); + +#define mpn_sqrtrem __MPN(sqrtrem) +__GMP_DECLSPEC mp_size_t mpn_sqrtrem (mp_ptr, mp_ptr, mp_srcptr, mp_size_t); + +#define mpn_sub __MPN(sub) +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub) +__GMP_DECLSPEC mp_limb_t mpn_sub (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t); +#endif + +#define mpn_sub_1 __MPN(sub_1) +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub_1) +__GMP_DECLSPEC mp_limb_t mpn_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW; +#endif + +#define mpn_sub_n __MPN(sub_n) +__GMP_DECLSPEC mp_limb_t mpn_sub_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); + +#define mpn_submul_1 __MPN(submul_1) +__GMP_DECLSPEC mp_limb_t mpn_submul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t); + +#define mpn_tdiv_qr __MPN(tdiv_qr) +__GMP_DECLSPEC void mpn_tdiv_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t); + +#define mpn_and_n __MPN(and_n) +__GMP_DECLSPEC void mpn_and_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); +#define mpn_andn_n __MPN(andn_n) +__GMP_DECLSPEC void mpn_andn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); +#define mpn_nand_n __MPN(nand_n) +__GMP_DECLSPEC void mpn_nand_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); +#define mpn_ior_n __MPN(ior_n) +__GMP_DECLSPEC void mpn_ior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); +#define mpn_iorn_n __MPN(iorn_n) +__GMP_DECLSPEC void mpn_iorn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); +#define mpn_nior_n __MPN(nior_n) +__GMP_DECLSPEC void mpn_nior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); +#define mpn_xor_n __MPN(xor_n) +__GMP_DECLSPEC void mpn_xor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); +#define mpn_xnor_n __MPN(xnor_n) +__GMP_DECLSPEC void mpn_xnor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); + +#define mpn_copyi __MPN(copyi) +__GMP_DECLSPEC void mpn_copyi (mp_ptr, mp_srcptr, mp_size_t); +#define mpn_copyd __MPN(copyd) +__GMP_DECLSPEC void mpn_copyd (mp_ptr, mp_srcptr, mp_size_t); +#define mpn_zero __MPN(zero) +__GMP_DECLSPEC void mpn_zero (mp_ptr, mp_size_t); + +#define mpn_cnd_add_n __MPN(cnd_add_n) +__GMP_DECLSPEC mp_limb_t mpn_cnd_add_n (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); +#define mpn_cnd_sub_n __MPN(cnd_sub_n) +__GMP_DECLSPEC mp_limb_t mpn_cnd_sub_n (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); + +#define mpn_sec_add_1 __MPN(sec_add_1) +__GMP_DECLSPEC mp_limb_t mpn_sec_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr); +#define mpn_sec_add_1_itch __MPN(sec_add_1_itch) +__GMP_DECLSPEC mp_size_t mpn_sec_add_1_itch (mp_size_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_sec_sub_1 __MPN(sec_sub_1) +__GMP_DECLSPEC mp_limb_t mpn_sec_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr); +#define mpn_sec_sub_1_itch __MPN(sec_sub_1_itch) +__GMP_DECLSPEC mp_size_t mpn_sec_sub_1_itch (mp_size_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_cnd_swap __MPN(cnd_swap) +__GMP_DECLSPEC void mpn_cnd_swap (mp_limb_t, volatile mp_limb_t *, volatile mp_limb_t *, mp_size_t); + +#define mpn_sec_mul __MPN(sec_mul) +__GMP_DECLSPEC void mpn_sec_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr); +#define mpn_sec_mul_itch __MPN(sec_mul_itch) +__GMP_DECLSPEC mp_size_t mpn_sec_mul_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_sec_sqr __MPN(sec_sqr) +__GMP_DECLSPEC void mpn_sec_sqr (mp_ptr, mp_srcptr, mp_size_t, mp_ptr); +#define mpn_sec_sqr_itch __MPN(sec_sqr_itch) +__GMP_DECLSPEC mp_size_t mpn_sec_sqr_itch (mp_size_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_sec_powm __MPN(sec_powm) +__GMP_DECLSPEC void mpn_sec_powm (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_bitcnt_t, mp_srcptr, mp_size_t, mp_ptr); +#define mpn_sec_powm_itch __MPN(sec_powm_itch) +__GMP_DECLSPEC mp_size_t mpn_sec_powm_itch (mp_size_t, mp_bitcnt_t, mp_size_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_sec_tabselect __MPN(sec_tabselect) +__GMP_DECLSPEC void mpn_sec_tabselect (volatile mp_limb_t *, volatile const mp_limb_t *, mp_size_t, mp_size_t, mp_size_t); + +#define mpn_sec_div_qr __MPN(sec_div_qr) +__GMP_DECLSPEC mp_limb_t mpn_sec_div_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr); +#define mpn_sec_div_qr_itch __MPN(sec_div_qr_itch) +__GMP_DECLSPEC mp_size_t mpn_sec_div_qr_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE; +#define mpn_sec_div_r __MPN(sec_div_r) +__GMP_DECLSPEC void mpn_sec_div_r (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr); +#define mpn_sec_div_r_itch __MPN(sec_div_r_itch) +__GMP_DECLSPEC mp_size_t mpn_sec_div_r_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_sec_invert __MPN(sec_invert) +__GMP_DECLSPEC int mpn_sec_invert (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_bitcnt_t, mp_ptr); +#define mpn_sec_invert_itch __MPN(sec_invert_itch) +__GMP_DECLSPEC mp_size_t mpn_sec_invert_itch (mp_size_t) __GMP_ATTRIBUTE_PURE; + + +/**************** mpz inlines ****************/ + +/* The following are provided as inlines where possible, but always exist as + library functions too, for binary compatibility. + + Within gmp itself this inlining generally isn't relied on, since it + doesn't get done for all compilers, whereas if something is worth + inlining then it's worth arranging always. + + There are two styles of inlining here. When the same bit of code is + wanted for the inline as for the library version, then __GMP_FORCE_foo + arranges for that code to be emitted and the __GMP_EXTERN_INLINE + directive suppressed, eg. mpz_fits_uint_p. When a different bit of code + is wanted for the inline than for the library version, then + __GMP_FORCE_foo arranges the inline to be suppressed, eg. mpz_abs. */ + +#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_abs) +__GMP_EXTERN_INLINE void +mpz_abs (mpz_ptr __gmp_w, mpz_srcptr __gmp_u) +{ + if (__gmp_w != __gmp_u) + mpz_set (__gmp_w, __gmp_u); + __gmp_w->_mp_size = __GMP_ABS (__gmp_w->_mp_size); +} +#endif + +#if GMP_NAIL_BITS == 0 +#define __GMPZ_FITS_UTYPE_P(z,maxval) \ + mp_size_t __gmp_n = z->_mp_size; \ + mp_ptr __gmp_p = z->_mp_d; \ + return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval)); +#else +#define __GMPZ_FITS_UTYPE_P(z,maxval) \ + mp_size_t __gmp_n = z->_mp_size; \ + mp_ptr __gmp_p = z->_mp_d; \ + return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval) \ + || (__gmp_n == 2 && __gmp_p[1] <= ((mp_limb_t) maxval >> GMP_NUMB_BITS))); +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_uint_p) +#if ! defined (__GMP_FORCE_mpz_fits_uint_p) +__GMP_EXTERN_INLINE +#endif +int +mpz_fits_uint_p (mpz_srcptr __gmp_z) __GMP_NOTHROW +{ + __GMPZ_FITS_UTYPE_P (__gmp_z, UINT_MAX); +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ulong_p) +#if ! defined (__GMP_FORCE_mpz_fits_ulong_p) +__GMP_EXTERN_INLINE +#endif +int +mpz_fits_ulong_p (mpz_srcptr __gmp_z) __GMP_NOTHROW +{ + __GMPZ_FITS_UTYPE_P (__gmp_z, ULONG_MAX); +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ushort_p) +#if ! defined (__GMP_FORCE_mpz_fits_ushort_p) +__GMP_EXTERN_INLINE +#endif +int +mpz_fits_ushort_p (mpz_srcptr __gmp_z) __GMP_NOTHROW +{ + __GMPZ_FITS_UTYPE_P (__gmp_z, USHRT_MAX); +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_get_ui) +#if ! defined (__GMP_FORCE_mpz_get_ui) +__GMP_EXTERN_INLINE +#endif +unsigned long +mpz_get_ui (mpz_srcptr __gmp_z) __GMP_NOTHROW +{ + mp_ptr __gmp_p = __gmp_z->_mp_d; + mp_size_t __gmp_n = __gmp_z->_mp_size; + mp_limb_t __gmp_l = __gmp_p[0]; + /* This is a "#if" rather than a plain "if" so as to avoid gcc warnings + about "<< GMP_NUMB_BITS" exceeding the type size, and to avoid Borland + C++ 6.0 warnings about condition always true for something like + "ULONG_MAX < GMP_NUMB_MASK". */ +#if GMP_NAIL_BITS == 0 || defined (_LONG_LONG_LIMB) + /* limb==long and no nails, or limb==longlong, one limb is enough */ + return (__gmp_n != 0 ? __gmp_l : 0); +#else + /* limb==long and nails, need two limbs when available */ + __gmp_n = __GMP_ABS (__gmp_n); + if (__gmp_n <= 1) + return (__gmp_n != 0 ? __gmp_l : 0); + else + return __gmp_l + (__gmp_p[1] << GMP_NUMB_BITS); +#endif +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_getlimbn) +#if ! defined (__GMP_FORCE_mpz_getlimbn) +__GMP_EXTERN_INLINE +#endif +mp_limb_t +mpz_getlimbn (mpz_srcptr __gmp_z, mp_size_t __gmp_n) __GMP_NOTHROW +{ + mp_limb_t __gmp_result = 0; + if (__GMP_LIKELY (__gmp_n >= 0 && __gmp_n < __GMP_ABS (__gmp_z->_mp_size))) + __gmp_result = __gmp_z->_mp_d[__gmp_n]; + return __gmp_result; +} +#endif + +#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_neg) +__GMP_EXTERN_INLINE void +mpz_neg (mpz_ptr __gmp_w, mpz_srcptr __gmp_u) +{ + if (__gmp_w != __gmp_u) + mpz_set (__gmp_w, __gmp_u); + __gmp_w->_mp_size = - __gmp_w->_mp_size; +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_perfect_square_p) +#if ! defined (__GMP_FORCE_mpz_perfect_square_p) +__GMP_EXTERN_INLINE +#endif +int +mpz_perfect_square_p (mpz_srcptr __gmp_a) +{ + mp_size_t __gmp_asize; + int __gmp_result; + + __gmp_asize = __gmp_a->_mp_size; + __gmp_result = (__gmp_asize >= 0); /* zero is a square, negatives are not */ + if (__GMP_LIKELY (__gmp_asize > 0)) + __gmp_result = mpn_perfect_square_p (__gmp_a->_mp_d, __gmp_asize); + return __gmp_result; +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_popcount) +#if ! defined (__GMP_FORCE_mpz_popcount) +__GMP_EXTERN_INLINE +#endif +mp_bitcnt_t +mpz_popcount (mpz_srcptr __gmp_u) __GMP_NOTHROW +{ + mp_size_t __gmp_usize; + mp_bitcnt_t __gmp_result; + + __gmp_usize = __gmp_u->_mp_size; + __gmp_result = (__gmp_usize < 0 ? ULONG_MAX : 0); + if (__GMP_LIKELY (__gmp_usize > 0)) + __gmp_result = mpn_popcount (__gmp_u->_mp_d, __gmp_usize); + return __gmp_result; +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_set_q) +#if ! defined (__GMP_FORCE_mpz_set_q) +__GMP_EXTERN_INLINE +#endif +void +mpz_set_q (mpz_ptr __gmp_w, mpq_srcptr __gmp_u) +{ + mpz_tdiv_q (__gmp_w, mpq_numref (__gmp_u), mpq_denref (__gmp_u)); +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_size) +#if ! defined (__GMP_FORCE_mpz_size) +__GMP_EXTERN_INLINE +#endif +size_t +mpz_size (mpz_srcptr __gmp_z) __GMP_NOTHROW +{ + return __GMP_ABS (__gmp_z->_mp_size); +} +#endif + + +/**************** mpq inlines ****************/ + +#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_abs) +__GMP_EXTERN_INLINE void +mpq_abs (mpq_ptr __gmp_w, mpq_srcptr __gmp_u) +{ + if (__gmp_w != __gmp_u) + mpq_set (__gmp_w, __gmp_u); + __gmp_w->_mp_num._mp_size = __GMP_ABS (__gmp_w->_mp_num._mp_size); +} +#endif + +#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_neg) +__GMP_EXTERN_INLINE void +mpq_neg (mpq_ptr __gmp_w, mpq_srcptr __gmp_u) +{ + if (__gmp_w != __gmp_u) + mpq_set (__gmp_w, __gmp_u); + __gmp_w->_mp_num._mp_size = - __gmp_w->_mp_num._mp_size; +} +#endif + + +/**************** mpn inlines ****************/ + +/* The comments with __GMPN_ADD_1 below apply here too. + + The test for FUNCTION returning 0 should predict well. If it's assumed + {yp,ysize} will usually have a random number of bits then the high limb + won't be full and a carry out will occur a good deal less than 50% of the + time. + + ysize==0 isn't a documented feature, but is used internally in a few + places. + + Producing cout last stops it using up a register during the main part of + the calculation, though gcc (as of 3.0) on an "if (mpn_add (...))" + doesn't seem able to move the true and false legs of the conditional up + to the two places cout is generated. */ + +#define __GMPN_AORS(cout, wp, xp, xsize, yp, ysize, FUNCTION, TEST) \ + do { \ + mp_size_t __gmp_i; \ + mp_limb_t __gmp_x; \ + \ + /* ASSERT ((ysize) >= 0); */ \ + /* ASSERT ((xsize) >= (ysize)); */ \ + /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, xp, xsize)); */ \ + /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, yp, ysize)); */ \ + \ + __gmp_i = (ysize); \ + if (__gmp_i != 0) \ + { \ + if (FUNCTION (wp, xp, yp, __gmp_i)) \ + { \ + do \ + { \ + if (__gmp_i >= (xsize)) \ + { \ + (cout) = 1; \ + goto __gmp_done; \ + } \ + __gmp_x = (xp)[__gmp_i]; \ + } \ + while (TEST); \ + } \ + } \ + if ((wp) != (xp)) \ + __GMPN_COPY_REST (wp, xp, xsize, __gmp_i); \ + (cout) = 0; \ + __gmp_done: \ + ; \ + } while (0) + +#define __GMPN_ADD(cout, wp, xp, xsize, yp, ysize) \ + __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_add_n, \ + (((wp)[__gmp_i++] = (__gmp_x + 1) & GMP_NUMB_MASK) == 0)) +#define __GMPN_SUB(cout, wp, xp, xsize, yp, ysize) \ + __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_sub_n, \ + (((wp)[__gmp_i++] = (__gmp_x - 1) & GMP_NUMB_MASK), __gmp_x == 0)) + + +/* The use of __gmp_i indexing is designed to ensure a compile time src==dst + remains nice and clear to the compiler, so that __GMPN_COPY_REST can + disappear, and the load/add/store gets a chance to become a + read-modify-write on CISC CPUs. + + Alternatives: + + Using a pair of pointers instead of indexing would be possible, but gcc + isn't able to recognise compile-time src==dst in that case, even when the + pointers are incremented more or less together. Other compilers would + very likely have similar difficulty. + + gcc could use "if (__builtin_constant_p(src==dst) && src==dst)" or + similar to detect a compile-time src==dst. This works nicely on gcc + 2.95.x, it's not good on gcc 3.0 where __builtin_constant_p(p==p) seems + to be always false, for a pointer p. But the current code form seems + good enough for src==dst anyway. + + gcc on x86 as usual doesn't give particularly good flags handling for the + carry/borrow detection. It's tempting to want some multi instruction asm + blocks to help it, and this was tried, but in truth there's only a few + instructions to save and any gain is all too easily lost by register + juggling setting up for the asm. */ + +#if GMP_NAIL_BITS == 0 +#define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB) \ + do { \ + mp_size_t __gmp_i; \ + mp_limb_t __gmp_x, __gmp_r; \ + \ + /* ASSERT ((n) >= 1); */ \ + /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */ \ + \ + __gmp_x = (src)[0]; \ + __gmp_r = __gmp_x OP (v); \ + (dst)[0] = __gmp_r; \ + if (CB (__gmp_r, __gmp_x, (v))) \ + { \ + (cout) = 1; \ + for (__gmp_i = 1; __gmp_i < (n);) \ + { \ + __gmp_x = (src)[__gmp_i]; \ + __gmp_r = __gmp_x OP 1; \ + (dst)[__gmp_i] = __gmp_r; \ + ++__gmp_i; \ + if (!CB (__gmp_r, __gmp_x, 1)) \ + { \ + if ((src) != (dst)) \ + __GMPN_COPY_REST (dst, src, n, __gmp_i); \ + (cout) = 0; \ + break; \ + } \ + } \ + } \ + else \ + { \ + if ((src) != (dst)) \ + __GMPN_COPY_REST (dst, src, n, 1); \ + (cout) = 0; \ + } \ + } while (0) +#endif + +#if GMP_NAIL_BITS >= 1 +#define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB) \ + do { \ + mp_size_t __gmp_i; \ + mp_limb_t __gmp_x, __gmp_r; \ + \ + /* ASSERT ((n) >= 1); */ \ + /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */ \ + \ + __gmp_x = (src)[0]; \ + __gmp_r = __gmp_x OP (v); \ + (dst)[0] = __gmp_r & GMP_NUMB_MASK; \ + if (__gmp_r >> GMP_NUMB_BITS != 0) \ + { \ + (cout) = 1; \ + for (__gmp_i = 1; __gmp_i < (n);) \ + { \ + __gmp_x = (src)[__gmp_i]; \ + __gmp_r = __gmp_x OP 1; \ + (dst)[__gmp_i] = __gmp_r & GMP_NUMB_MASK; \ + ++__gmp_i; \ + if (__gmp_r >> GMP_NUMB_BITS == 0) \ + { \ + if ((src) != (dst)) \ + __GMPN_COPY_REST (dst, src, n, __gmp_i); \ + (cout) = 0; \ + break; \ + } \ + } \ + } \ + else \ + { \ + if ((src) != (dst)) \ + __GMPN_COPY_REST (dst, src, n, 1); \ + (cout) = 0; \ + } \ + } while (0) +#endif + +#define __GMPN_ADDCB(r,x,y) ((r) < (y)) +#define __GMPN_SUBCB(r,x,y) ((x) < (y)) + +#define __GMPN_ADD_1(cout, dst, src, n, v) \ + __GMPN_AORS_1(cout, dst, src, n, v, +, __GMPN_ADDCB) +#define __GMPN_SUB_1(cout, dst, src, n, v) \ + __GMPN_AORS_1(cout, dst, src, n, v, -, __GMPN_SUBCB) + + +/* Compare {xp,size} and {yp,size}, setting "result" to positive, zero or + negative. size==0 is allowed. On random data usually only one limb will + need to be examined to get a result, so it's worth having it inline. */ +#define __GMPN_CMP(result, xp, yp, size) \ + do { \ + mp_size_t __gmp_i; \ + mp_limb_t __gmp_x, __gmp_y; \ + \ + /* ASSERT ((size) >= 0); */ \ + \ + (result) = 0; \ + __gmp_i = (size); \ + while (--__gmp_i >= 0) \ + { \ + __gmp_x = (xp)[__gmp_i]; \ + __gmp_y = (yp)[__gmp_i]; \ + if (__gmp_x != __gmp_y) \ + { \ + /* Cannot use __gmp_x - __gmp_y, may overflow an "int" */ \ + (result) = (__gmp_x > __gmp_y ? 1 : -1); \ + break; \ + } \ + } \ + } while (0) + + +#if defined (__GMPN_COPY) && ! defined (__GMPN_COPY_REST) +#define __GMPN_COPY_REST(dst, src, size, start) \ + do { \ + /* ASSERT ((start) >= 0); */ \ + /* ASSERT ((start) <= (size)); */ \ + __GMPN_COPY ((dst)+(start), (src)+(start), (size)-(start)); \ + } while (0) +#endif + +/* Copy {src,size} to {dst,size}, starting at "start". This is designed to + keep the indexing dst[j] and src[j] nice and simple for __GMPN_ADD_1, + __GMPN_ADD, etc. */ +#if ! defined (__GMPN_COPY_REST) +#define __GMPN_COPY_REST(dst, src, size, start) \ + do { \ + mp_size_t __gmp_j; \ + /* ASSERT ((size) >= 0); */ \ + /* ASSERT ((start) >= 0); */ \ + /* ASSERT ((start) <= (size)); */ \ + /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */ \ + __GMP_CRAY_Pragma ("_CRI ivdep"); \ + for (__gmp_j = (start); __gmp_j < (size); __gmp_j++) \ + (dst)[__gmp_j] = (src)[__gmp_j]; \ + } while (0) +#endif + +/* Enhancement: Use some of the smarter code from gmp-impl.h. Maybe use + mpn_copyi if there's a native version, and if we don't mind demanding + binary compatibility for it (on targets which use it). */ + +#if ! defined (__GMPN_COPY) +#define __GMPN_COPY(dst, src, size) __GMPN_COPY_REST (dst, src, size, 0) +#endif + + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add) +#if ! defined (__GMP_FORCE_mpn_add) +__GMP_EXTERN_INLINE +#endif +mp_limb_t +mpn_add (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize) +{ + mp_limb_t __gmp_c; + __GMPN_ADD (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize); + return __gmp_c; +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add_1) +#if ! defined (__GMP_FORCE_mpn_add_1) +__GMP_EXTERN_INLINE +#endif +mp_limb_t +mpn_add_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW +{ + mp_limb_t __gmp_c; + __GMPN_ADD_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n); + return __gmp_c; +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_cmp) +#if ! defined (__GMP_FORCE_mpn_cmp) +__GMP_EXTERN_INLINE +#endif +int +mpn_cmp (mp_srcptr __gmp_xp, mp_srcptr __gmp_yp, mp_size_t __gmp_size) __GMP_NOTHROW +{ + int __gmp_result; + __GMPN_CMP (__gmp_result, __gmp_xp, __gmp_yp, __gmp_size); + return __gmp_result; +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_zero_p) +#if ! defined (__GMP_FORCE_mpn_zero_p) +__GMP_EXTERN_INLINE +#endif +int +mpn_zero_p (mp_srcptr __gmp_p, mp_size_t __gmp_n) __GMP_NOTHROW +{ + /* if (__GMP_LIKELY (__gmp_n > 0)) */ + do { + if (__gmp_p[--__gmp_n] != 0) + return 0; + } while (__gmp_n != 0); + return 1; +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub) +#if ! defined (__GMP_FORCE_mpn_sub) +__GMP_EXTERN_INLINE +#endif +mp_limb_t +mpn_sub (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize) +{ + mp_limb_t __gmp_c; + __GMPN_SUB (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize); + return __gmp_c; +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub_1) +#if ! defined (__GMP_FORCE_mpn_sub_1) +__GMP_EXTERN_INLINE +#endif +mp_limb_t +mpn_sub_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW +{ + mp_limb_t __gmp_c; + __GMPN_SUB_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n); + return __gmp_c; +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_neg) +#if ! defined (__GMP_FORCE_mpn_neg) +__GMP_EXTERN_INLINE +#endif +mp_limb_t +mpn_neg (mp_ptr __gmp_rp, mp_srcptr __gmp_up, mp_size_t __gmp_n) +{ + while (*__gmp_up == 0) /* Low zero limbs are unchanged by negation. */ + { + *__gmp_rp = 0; + if (!--__gmp_n) /* All zero */ + return 0; + ++__gmp_up; ++__gmp_rp; + } + + *__gmp_rp = (- *__gmp_up) & GMP_NUMB_MASK; + + if (--__gmp_n) /* Higher limbs get complemented. */ + mpn_com (++__gmp_rp, ++__gmp_up, __gmp_n); + + return 1; +} +#endif + +#if defined (__cplusplus) +} +#endif + + +/* Allow faster testing for negative, zero, and positive. */ +#define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0) +#define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0) +#define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0) + +/* When using GCC, optimize certain common comparisons. */ +#if defined (__GNUC__) && __GNUC__ >= 2 +#define mpz_cmp_ui(Z,UI) \ + (__builtin_constant_p (UI) && (UI) == 0 \ + ? mpz_sgn (Z) : _mpz_cmp_ui (Z,UI)) +#define mpz_cmp_si(Z,SI) \ + (__builtin_constant_p ((SI) >= 0) && (SI) >= 0 \ + ? mpz_cmp_ui (Z, __GMP_CAST (unsigned long, SI)) \ + : _mpz_cmp_si (Z,SI)) +#define mpq_cmp_ui(Q,NUI,DUI) \ + (__builtin_constant_p (NUI) && (NUI) == 0 ? mpq_sgn (Q) \ + : __builtin_constant_p ((NUI) == (DUI)) && (NUI) == (DUI) \ + ? mpz_cmp (mpq_numref (Q), mpq_denref (Q)) \ + : _mpq_cmp_ui (Q,NUI,DUI)) +#define mpq_cmp_si(q,n,d) \ + (__builtin_constant_p ((n) >= 0) && (n) >= 0 \ + ? mpq_cmp_ui (q, __GMP_CAST (unsigned long, n), d) \ + : _mpq_cmp_si (q, n, d)) +#else +#define mpz_cmp_ui(Z,UI) _mpz_cmp_ui (Z,UI) +#define mpz_cmp_si(Z,UI) _mpz_cmp_si (Z,UI) +#define mpq_cmp_ui(Q,NUI,DUI) _mpq_cmp_ui (Q,NUI,DUI) +#define mpq_cmp_si(q,n,d) _mpq_cmp_si(q,n,d) +#endif + + +/* Using "&" rather than "&&" means these can come out branch-free. Every + mpz_t has at least one limb allocated, so fetching the low limb is always + allowed. */ +#define mpz_odd_p(z) (((z)->_mp_size != 0) & __GMP_CAST (int, (z)->_mp_d[0])) +#define mpz_even_p(z) (! mpz_odd_p (z)) + + +/**************** C++ routines ****************/ + +#ifdef __cplusplus +__GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpz_srcptr); +__GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpq_srcptr); +__GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpf_srcptr); +__GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpz_ptr); +__GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpq_ptr); +__GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpf_ptr); +#endif + + +/* Source-level compatibility with GMP 2 and earlier. */ +#define mpn_divmod(qp,np,nsize,dp,dsize) \ + mpn_divrem (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dp, dsize) + +/* Source-level compatibility with GMP 1. */ +#define mpz_mdiv mpz_fdiv_q +#define mpz_mdivmod mpz_fdiv_qr +#define mpz_mmod mpz_fdiv_r +#define mpz_mdiv_ui mpz_fdiv_q_ui +#define mpz_mdivmod_ui(q,r,n,d) \ + (((r) == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d)) +#define mpz_mmod_ui(r,n,d) \ + (((r) == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d)) + +/* Useful synonyms, but not quite compatible with GMP 1. */ +#define mpz_div mpz_fdiv_q +#define mpz_divmod mpz_fdiv_qr +#define mpz_div_ui mpz_fdiv_q_ui +#define mpz_divmod_ui mpz_fdiv_qr_ui +#define mpz_div_2exp mpz_fdiv_q_2exp +#define mpz_mod_2exp mpz_fdiv_r_2exp + +enum +{ + GMP_ERROR_NONE = 0, + GMP_ERROR_UNSUPPORTED_ARGUMENT = 1, + GMP_ERROR_DIVISION_BY_ZERO = 2, + GMP_ERROR_SQRT_OF_NEGATIVE = 4, + GMP_ERROR_INVALID_ARGUMENT = 8 +}; + +/* Define CC and CFLAGS which were used to build this version of GMP */ +#define __GMP_CC "x86_64-linux-gnu-gcc" +#define __GMP_CFLAGS "-g -O2 -fdebug-prefix-map=/build/gmp-KLDdGm/gmp-6.1.2+dfsg=. -fstack-protector-strong -Wformat -Werror=format-security -O3" + +/* Major version number is the value of __GNU_MP__ too, above. */ +#define __GNU_MP_VERSION 6 +#define __GNU_MP_VERSION_MINOR 1 +#define __GNU_MP_VERSION_PATCHLEVEL 2 +#define __GNU_MP_RELEASE (__GNU_MP_VERSION * 10000 + __GNU_MP_VERSION_MINOR * 100 + __GNU_MP_VERSION_PATCHLEVEL) + +#define __GMP_H__ +#endif /* __GMP_H__ */ |