From 39b98658a9efefcbc1abd850134a060ba296d899 Mon Sep 17 00:00:00 2001 From: Unknown Date: Fri, 23 Dec 2016 10:59:16 +0100 Subject: [PATCH] - added all mpir files for linux --- src/external/inc/linux-g++/mpir-2.4.0/mpir.h | 2413 ++++++++++++ .../inc/linux-g++/mpir-2.4.0/mpirxx.h | 3403 +++++++++++++++++ src/external/lib/linux-g++/libmpir.a | Bin 0 -> 1299966 bytes src/external/lib/linux-g++/libmpirxx.a | Bin 0 -> 41644 bytes 4 files changed, 5816 insertions(+) create mode 100644 src/external/inc/linux-g++/mpir-2.4.0/mpir.h create mode 100644 src/external/inc/linux-g++/mpir-2.4.0/mpirxx.h create mode 100644 src/external/lib/linux-g++/libmpir.a create mode 100644 src/external/lib/linux-g++/libmpirxx.a diff --git a/src/external/inc/linux-g++/mpir-2.4.0/mpir.h b/src/external/inc/linux-g++/mpir-2.4.0/mpir.h new file mode 100644 index 000000000..efffdd47e --- /dev/null +++ b/src/external/inc/linux-g++/mpir-2.4.0/mpir.h @@ -0,0 +1,2413 @@ +/* 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 /* for std::istream, std::ostream, std::string */ +#include +#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) + + +#ifndef __GNU_MP__ +#define __GNU_MP__ 4 + +#define __need_size_t /* tell gcc stddef.h we only want size_t */ +#if defined (__cplusplus) +#include /* for size_t */ +#else +#include /* 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; +#define __GMP_BITCNT_MAX (~(unsigned long long) 0) +#else +typedef unsigned long int mp_bitcnt_t; +#define __GMP_BITCNT_MAX (~(unsigned long) 0) +#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; + + +#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, + 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 */ +#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 or . + 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. + + 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 or 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 (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, mp_bitcnt_t)); + +#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)); + +#define mpz_neg __gmpz_neg +#define __GMP_MPZ_NEG_MIN_ALLOC(x,y) (__GMP_ABS(y->_mp_size)) +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_neg) +__GMP_DECLSPEC void mpz_neg __GMP_PROTO ((mpz_ptr, mpz_srcptr)); +#endif + +#define mpz_nextprime __gmpz_nextprime +__GMP_DECLSPEC void mpz_nextprime __GMP_PROTO ((mpz_ptr, mpz_srcptr)); + +#define mpz_next_likely_prime __gmpz_next_likely_prime +__GMP_DECLSPEC void mpz_next_likely_prime __GMP_PROTO ((mpz_ptr, mpz_srcptr,gmp_randstate_t)); + +#define mpz_out_raw __gmpz_out_raw +#ifdef _GMP_H_HAVE_FILE +__GMP_DECLSPEC size_t mpz_out_raw __GMP_PROTO ((FILE *, mpz_srcptr)); +#endif + +#define mpz_out_str __gmpz_out_str +#ifdef _GMP_H_HAVE_FILE +__GMP_DECLSPEC size_t mpz_out_str __GMP_PROTO ((FILE *, int, mpz_srcptr)); +#endif + +#define mpz_perfect_power_p __gmpz_perfect_power_p +__GMP_DECLSPEC int mpz_perfect_power_p __GMP_PROTO ((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 __GMP_PROTO ((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 __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; +#endif + +#define mpz_pow_ui __gmpz_pow_ui +__GMP_DECLSPEC void mpz_pow_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); + +#define mpz_powm __gmpz_powm +__GMP_DECLSPEC void mpz_powm __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr)); + +#define mpz_powm_ui __gmpz_powm_ui +__GMP_DECLSPEC void mpz_powm_ui __GMP_PROTO ((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 __GMP_PROTO ((mpz_srcptr, int)) __GMP_ATTRIBUTE_PURE; + +#define mpz_probable_prime_p __gmpz_probable_prime_p +__GMP_DECLSPEC int mpz_probable_prime_p __GMP_PROTO ((mpz_srcptr,gmp_randstate_t, int,unsigned long)); + +#define mpz_likely_prime_p __gmpz_likely_prime_p +__GMP_DECLSPEC int mpz_likely_prime_p __GMP_PROTO ((mpz_srcptr,gmp_randstate_t, unsigned long)); + +#define mpz_realloc2 __gmpz_realloc2 +__GMP_DECLSPEC void mpz_realloc2 __GMP_PROTO ((mpz_ptr, mp_bitcnt_t)); + +#define mpz_remove __gmpz_remove +__GMP_DECLSPEC mp_bitcnt_t mpz_remove __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)); + +#define mpz_root __gmpz_root +__GMP_DECLSPEC int mpz_root __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); + +#define mpz_nthroot __gmpz_nthroot +__GMP_DECLSPEC void mpz_nthroot __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); + +#define mpz_rootrem __gmpz_rootrem +__GMP_DECLSPEC void mpz_rootrem __GMP_PROTO ((mpz_ptr,mpz_ptr, mpz_srcptr, unsigned long int)); + +#define mpz_rrandomb __gmpz_rrandomb +__GMP_DECLSPEC void mpz_rrandomb __GMP_PROTO ((mpz_ptr, gmp_randstate_t, mp_bitcnt_t)); + +#define mpz_scan0 __gmpz_scan0 +__GMP_DECLSPEC mp_bitcnt_t mpz_scan0 __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpz_scan1 __gmpz_scan1 +__GMP_DECLSPEC mp_bitcnt_t mpz_scan1 __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define __GMP_MPZ_SET_MIN_ALLOC(x,y) __GMP_ABS(y->_mp_size) +#define mpz_set __gmpz_set +__GMP_DECLSPEC void mpz_set __GMP_PROTO ((mpz_ptr, mpz_srcptr)); + +#define mpz_set_d __gmpz_set_d +__GMP_DECLSPEC void mpz_set_d __GMP_PROTO ((mpz_ptr, double)); + +#define mpz_set_f __gmpz_set_f +__GMP_DECLSPEC void mpz_set_f __GMP_PROTO ((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 __GMP_PROTO ((mpz_ptr, mpq_srcptr)); +#endif + +#define __GMP_MPZ_SET_SI_MIN_ALLOC(x,y) (1+(__GMP_BITS_PER_ULONG-1)/GMP_NUMB_BITS) +#define mpz_set_si __gmpz_set_si +__GMP_DECLSPEC void mpz_set_si __GMP_PROTO ((mpz_ptr, signed long int)); + +#define mpz_set_str __gmpz_set_str +__GMP_DECLSPEC int mpz_set_str __GMP_PROTO ((mpz_ptr, __gmp_const char *, int)); + +#define __GMP_MPZ_SET_UI_MIN_ALLOC(x,y) (1+(__GMP_BITS_PER_ULONG-1)/GMP_NUMB_BITS) +#define mpz_set_ui __gmpz_set_ui +__GMP_DECLSPEC void mpz_set_ui __GMP_PROTO ((mpz_ptr, unsigned long int)); + +#define mpz_setbit __gmpz_setbit +__GMP_DECLSPEC void mpz_setbit __GMP_PROTO ((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 __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; +#endif + +#define mpz_sizeinbase __gmpz_sizeinbase +__GMP_DECLSPEC size_t mpz_sizeinbase __GMP_PROTO ((mpz_srcptr, int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpz_sqrt __gmpz_sqrt +__GMP_DECLSPEC void mpz_sqrt __GMP_PROTO ((mpz_ptr, mpz_srcptr)); + +#define mpz_sqrtrem __gmpz_sqrtrem +__GMP_DECLSPEC void mpz_sqrtrem __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr)); + +#define __GMP_MPZ_SUB_MIN_ALLOC(x,y,z) (__GMP_MAX(__GMP_ABS(y->_mp_size),__GMP_ABS(z->_mp_size))+1) +#define mpz_sub __gmpz_sub +__GMP_DECLSPEC void mpz_sub __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)); + +#define __GMP_MPZ_SUB_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_sub_ui __gmpz_sub_ui +__GMP_DECLSPEC void mpz_sub_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); + +#define __GMP_MPZ_UI_SUB_MIN_ALLOC(x,y,z) (__GMP_MAX(__GMP_ABS(z->_mp_size),1+(__GMP_BITS_PER_ULONG-1)/GMP_NUMB_BITS)+1) +#define mpz_ui_sub __gmpz_ui_sub +__GMP_DECLSPEC void mpz_ui_sub __GMP_PROTO ((mpz_ptr, unsigned long int, mpz_srcptr)); + +#define mpz_submul __gmpz_submul +__GMP_DECLSPEC void mpz_submul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)); + +#define mpz_submul_ui __gmpz_submul_ui +__GMP_DECLSPEC void mpz_submul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); + +#define mpz_swap __gmpz_swap +__GMP_DECLSPEC void mpz_swap __GMP_PROTO ((mpz_ptr, mpz_ptr)) __GMP_NOTHROW; + +#define mpz_tdiv_ui __gmpz_tdiv_ui +__GMP_DECLSPEC unsigned long int mpz_tdiv_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE; + +#define mpz_tdiv_q __gmpz_tdiv_q +__GMP_DECLSPEC void mpz_tdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)); + +#define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp +__GMP_DECLSPEC void mpz_tdiv_q_2exp __GMP_PROTO ((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 __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); + +#define mpz_tdiv_qr __gmpz_tdiv_qr +__GMP_DECLSPEC void mpz_tdiv_qr __GMP_PROTO ((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 __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int)); + +#define mpz_tdiv_r __gmpz_tdiv_r +__GMP_DECLSPEC void mpz_tdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)); + +#define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp +__GMP_DECLSPEC void mpz_tdiv_r_2exp __GMP_PROTO ((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 __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int)); + +#define mpz_tstbit __gmpz_tstbit +__GMP_DECLSPEC int mpz_tstbit __GMP_PROTO ((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 __GMP_PROTO ((mpz_ptr, unsigned long int, unsigned long int)); + +#define mpz_urandomb __gmpz_urandomb +__GMP_DECLSPEC void mpz_urandomb __GMP_PROTO ((mpz_ptr, gmp_randstate_t, mp_bitcnt_t)); + +#define mpz_urandomm __gmpz_urandomm +__GMP_DECLSPEC void mpz_urandomm __GMP_PROTO ((mpz_ptr, gmp_randstate_t, mpz_srcptr)); + +#define mpz_xor __gmpz_xor +#define mpz_eor __gmpz_xor +__GMP_DECLSPEC void mpz_xor __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr)); + + +/****** Integer (i.e. Z) routines for intmaax_t/uintmax_t types ******/ + +#if defined( _STDINT_H ) || defined ( _STDINT_H_ ) || defined ( _STDINT ) + +#define __GMP_BITS_PER_UINTMAX (8*sizeof(uintmax_t)) + +#define mpz_get_ux __gmpz_get_ux +__GMP_DECLSPEC uintmax_t mpz_get_ux __GMP_PROTO ((mpz_srcptr)); + +#define mpz_get_sx __gmpz_get_sx +__GMP_DECLSPEC intmax_t mpz_get_sx __GMP_PROTO ((mpz_srcptr)); + +#define mpz_set_ux __gmpz_set_ux +__GMP_DECLSPEC void mpz_set_ux __GMP_PROTO ((mpz_ptr, uintmax_t)); + +#define mpz_set_sx __gmpz_set_sx +__GMP_DECLSPEC void mpz_set_sx __GMP_PROTO ((mpz_ptr, intmax_t)); + +#define mpz_init_set_ux __gmpz_init_set_ux +__GMP_DECLSPEC void mpz_init_set_ux __GMP_PROTO ((mpz_ptr, uintmax_t)); + +#define mpz_init_set_sx __gmpz_init_set_sx +__GMP_DECLSPEC void mpz_init_set_sx __GMP_PROTO ((mpz_ptr, intmax_t)); + +#endif + + +/**************** Rational (i.e. Q) routines. ****************/ + +#define mpq_abs __gmpq_abs +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_abs) +__GMP_DECLSPEC void mpq_abs __GMP_PROTO ((mpq_ptr, mpq_srcptr)); +#endif + +#define mpq_add __gmpq_add +__GMP_DECLSPEC void mpq_add __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr)); + +#define mpq_canonicalize __gmpq_canonicalize +__GMP_DECLSPEC void mpq_canonicalize __GMP_PROTO ((mpq_ptr)); + +#define mpq_clear __gmpq_clear +__GMP_DECLSPEC void mpq_clear __GMP_PROTO ((mpq_ptr)); + +#define mpq_clears __gmpq_clears +__GMP_DECLSPEC void mpq_clears __GMP_PROTO ((mpq_ptr, ...)); + +#define mpq_cmp __gmpq_cmp +__GMP_DECLSPEC int mpq_cmp __GMP_PROTO ((mpq_srcptr, mpq_srcptr)) __GMP_ATTRIBUTE_PURE; + +#define _mpq_cmp_si __gmpq_cmp_si +__GMP_DECLSPEC int _mpq_cmp_si __GMP_PROTO ((mpq_srcptr, long, unsigned long)) __GMP_ATTRIBUTE_PURE; + +#define _mpq_cmp_ui __gmpq_cmp_ui +__GMP_DECLSPEC int _mpq_cmp_ui __GMP_PROTO ((mpq_srcptr, unsigned long int, unsigned long int)) __GMP_ATTRIBUTE_PURE; + +#define mpq_div __gmpq_div +__GMP_DECLSPEC void mpq_div __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr)); + +#define mpq_div_2exp __gmpq_div_2exp +__GMP_DECLSPEC void mpq_div_2exp __GMP_PROTO ((mpq_ptr, mpq_srcptr, mp_bitcnt_t)); + +#define mpq_equal __gmpq_equal +__GMP_DECLSPEC int mpq_equal __GMP_PROTO ((mpq_srcptr, mpq_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpq_get_num __gmpq_get_num +__GMP_DECLSPEC void mpq_get_num __GMP_PROTO ((mpz_ptr, mpq_srcptr)); + +#define mpq_get_den __gmpq_get_den +__GMP_DECLSPEC void mpq_get_den __GMP_PROTO ((mpz_ptr, mpq_srcptr)); + +#define mpq_get_d __gmpq_get_d +__GMP_DECLSPEC double mpq_get_d __GMP_PROTO ((mpq_srcptr)) __GMP_ATTRIBUTE_PURE; + +#define mpq_get_str __gmpq_get_str +__GMP_DECLSPEC char *mpq_get_str __GMP_PROTO ((char *, int, mpq_srcptr)); + +#define mpq_init __gmpq_init +__GMP_DECLSPEC void mpq_init __GMP_PROTO ((mpq_ptr)); + +#define mpq_inits __gmpq_inits +__GMP_DECLSPEC void mpq_inits __GMP_PROTO ((mpq_ptr, ...)); + +#define mpq_inp_str __gmpq_inp_str +#ifdef _GMP_H_HAVE_FILE +__GMP_DECLSPEC size_t mpq_inp_str __GMP_PROTO ((mpq_ptr, FILE *, int)); +#endif + +#define mpq_inv __gmpq_inv +__GMP_DECLSPEC void mpq_inv __GMP_PROTO ((mpq_ptr, mpq_srcptr)); + +#define mpq_mul __gmpq_mul +__GMP_DECLSPEC void mpq_mul __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr)); + +#define mpq_mul_2exp __gmpq_mul_2exp +__GMP_DECLSPEC void mpq_mul_2exp __GMP_PROTO ((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 __GMP_PROTO ((mpq_ptr, mpq_srcptr)); +#endif + +#define mpq_out_str __gmpq_out_str +#ifdef _GMP_H_HAVE_FILE +__GMP_DECLSPEC size_t mpq_out_str __GMP_PROTO ((FILE *, int, mpq_srcptr)); +#endif + +#define mpq_set __gmpq_set +__GMP_DECLSPEC void mpq_set __GMP_PROTO ((mpq_ptr, mpq_srcptr)); + +#define mpq_set_d __gmpq_set_d +__GMP_DECLSPEC void mpq_set_d __GMP_PROTO ((mpq_ptr, double)); + +#define mpq_set_den __gmpq_set_den +__GMP_DECLSPEC void mpq_set_den __GMP_PROTO ((mpq_ptr, mpz_srcptr)); + +#define mpq_set_f __gmpq_set_f +__GMP_DECLSPEC void mpq_set_f __GMP_PROTO ((mpq_ptr, mpf_srcptr)); + +#define mpq_set_num __gmpq_set_num +__GMP_DECLSPEC void mpq_set_num __GMP_PROTO ((mpq_ptr, mpz_srcptr)); + +#define mpq_set_si __gmpq_set_si +__GMP_DECLSPEC void mpq_set_si __GMP_PROTO ((mpq_ptr, signed long int, unsigned long int)); + +#define mpq_set_str __gmpq_set_str +__GMP_DECLSPEC int mpq_set_str __GMP_PROTO ((mpq_ptr, __gmp_const char *, int)); + +#define mpq_set_ui __gmpq_set_ui +__GMP_DECLSPEC void mpq_set_ui __GMP_PROTO ((mpq_ptr, unsigned long int, unsigned long int)); + +#define mpq_set_z __gmpq_set_z +__GMP_DECLSPEC void mpq_set_z __GMP_PROTO ((mpq_ptr, mpz_srcptr)); + +#define mpq_sub __gmpq_sub +__GMP_DECLSPEC void mpq_sub __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr)); + +#define mpq_swap __gmpq_swap +__GMP_DECLSPEC void mpq_swap __GMP_PROTO ((mpq_ptr, mpq_ptr)) __GMP_NOTHROW; + + +/**************** Float (i.e. F) routines. ****************/ + +#define mpf_abs __gmpf_abs +__GMP_DECLSPEC void mpf_abs __GMP_PROTO ((mpf_ptr, mpf_srcptr)); + +#define mpf_add __gmpf_add +__GMP_DECLSPEC void mpf_add __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr)); + +#define mpf_add_ui __gmpf_add_ui +__GMP_DECLSPEC void mpf_add_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int)); +#define mpf_ceil __gmpf_ceil +__GMP_DECLSPEC void mpf_ceil __GMP_PROTO ((mpf_ptr, mpf_srcptr)); + +#define mpf_clear __gmpf_clear +__GMP_DECLSPEC void mpf_clear __GMP_PROTO ((mpf_ptr)); + +#define mpf_clears __gmpf_clears +__GMP_DECLSPEC void mpf_clears __GMP_PROTO ((mpf_ptr, ...)); + +#define mpf_cmp __gmpf_cmp +__GMP_DECLSPEC int mpf_cmp __GMP_PROTO ((mpf_srcptr, mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_cmp_d __gmpf_cmp_d +__GMP_DECLSPEC int mpf_cmp_d __GMP_PROTO ((mpf_srcptr, double)) __GMP_ATTRIBUTE_PURE; + +#define mpf_cmp_si __gmpf_cmp_si +__GMP_DECLSPEC int mpf_cmp_si __GMP_PROTO ((mpf_srcptr, signed long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_cmp_ui __gmpf_cmp_ui +__GMP_DECLSPEC int mpf_cmp_ui __GMP_PROTO ((mpf_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_div __gmpf_div +__GMP_DECLSPEC void mpf_div __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr)); + +#define mpf_div_2exp __gmpf_div_2exp +__GMP_DECLSPEC void mpf_div_2exp __GMP_PROTO ((mpf_ptr, mpf_srcptr, mp_bitcnt_t)); + +#define mpf_div_ui __gmpf_div_ui +__GMP_DECLSPEC void mpf_div_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int)); + +#define mpf_dump __gmpf_dump +__GMP_DECLSPEC void mpf_dump __GMP_PROTO ((mpf_srcptr)); + +#define mpf_eq __gmpf_eq +__GMP_DECLSPEC int mpf_eq __GMP_PROTO ((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 __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_fits_slong_p __gmpf_fits_slong_p +__GMP_DECLSPEC int mpf_fits_slong_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_fits_sshort_p __gmpf_fits_sshort_p +__GMP_DECLSPEC int mpf_fits_sshort_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_fits_uint_p __gmpf_fits_uint_p +__GMP_DECLSPEC int mpf_fits_uint_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_fits_ulong_p __gmpf_fits_ulong_p +__GMP_DECLSPEC int mpf_fits_ulong_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_fits_ushort_p __gmpf_fits_ushort_p +__GMP_DECLSPEC int mpf_fits_ushort_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_floor __gmpf_floor +__GMP_DECLSPEC void mpf_floor __GMP_PROTO ((mpf_ptr, mpf_srcptr)); + +#define mpf_get_d __gmpf_get_d +__GMP_DECLSPEC double mpf_get_d __GMP_PROTO ((mpf_srcptr)) __GMP_ATTRIBUTE_PURE; + +#define mpf_get_d_2exp __gmpf_get_d_2exp +__GMP_DECLSPEC double mpf_get_d_2exp __GMP_PROTO ((signed long int *, mpf_srcptr)); + +#define mpf_get_default_prec __gmpf_get_default_prec +__GMP_DECLSPEC mp_bitcnt_t mpf_get_default_prec __GMP_PROTO ((void)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_get_prec __gmpf_get_prec +__GMP_DECLSPEC mp_bitcnt_t mpf_get_prec __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_get_si __gmpf_get_si +__GMP_DECLSPEC long mpf_get_si __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_get_str __gmpf_get_str +__GMP_DECLSPEC char *mpf_get_str __GMP_PROTO ((char *, mp_exp_t *, int, size_t, mpf_srcptr)); + +#define mpf_get_ui __gmpf_get_ui +__GMP_DECLSPEC unsigned long mpf_get_ui __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_init __gmpf_init +__GMP_DECLSPEC void mpf_init __GMP_PROTO ((mpf_ptr)); + +#define mpf_init2 __gmpf_init2 +__GMP_DECLSPEC void mpf_init2 __GMP_PROTO ((mpf_ptr, mp_bitcnt_t)); + +#define mpf_inits __gmpf_inits +__GMP_DECLSPEC void mpf_inits __GMP_PROTO ((mpf_ptr, ...)); + +#define mpf_init_set __gmpf_init_set +__GMP_DECLSPEC void mpf_init_set __GMP_PROTO ((mpf_ptr, mpf_srcptr)); + +#define mpf_init_set_d __gmpf_init_set_d +__GMP_DECLSPEC void mpf_init_set_d __GMP_PROTO ((mpf_ptr, double)); + +#define mpf_init_set_si __gmpf_init_set_si +__GMP_DECLSPEC void mpf_init_set_si __GMP_PROTO ((mpf_ptr, signed long int)); + +#define mpf_init_set_str __gmpf_init_set_str +__GMP_DECLSPEC int mpf_init_set_str __GMP_PROTO ((mpf_ptr, __gmp_const char *, int)); + +#define mpf_init_set_ui __gmpf_init_set_ui +__GMP_DECLSPEC void mpf_init_set_ui __GMP_PROTO ((mpf_ptr, unsigned long int)); + +#define mpf_inp_str __gmpf_inp_str +#ifdef _GMP_H_HAVE_FILE +__GMP_DECLSPEC size_t mpf_inp_str __GMP_PROTO ((mpf_ptr, FILE *, int)); +#endif + +#define mpf_integer_p __gmpf_integer_p +__GMP_DECLSPEC int mpf_integer_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_mul __gmpf_mul +__GMP_DECLSPEC void mpf_mul __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr)); + +#define mpf_mul_2exp __gmpf_mul_2exp +__GMP_DECLSPEC void mpf_mul_2exp __GMP_PROTO ((mpf_ptr, mpf_srcptr, mp_bitcnt_t)); + +#define mpf_mul_ui __gmpf_mul_ui +__GMP_DECLSPEC void mpf_mul_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int)); + +#define mpf_neg __gmpf_neg +__GMP_DECLSPEC void mpf_neg __GMP_PROTO ((mpf_ptr, mpf_srcptr)); + +#define mpf_out_str __gmpf_out_str +#ifdef _GMP_H_HAVE_FILE +__GMP_DECLSPEC size_t mpf_out_str __GMP_PROTO ((FILE *, int, size_t, mpf_srcptr)); +#endif + +#define mpf_pow_ui __gmpf_pow_ui +__GMP_DECLSPEC void mpf_pow_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int)); + +#define mpf_random2 __gmpf_random2 +__GMP_DECLSPEC void mpf_random2 __GMP_PROTO ((mpf_ptr, mp_size_t, mp_exp_t)); + +#define mpf_rrandomb __gmpf_rrandomb +__GMP_DECLSPEC void mpf_rrandomb __GMP_PROTO ((mpf_ptr, gmp_randstate_t, mp_size_t, mp_exp_t)); + +#define mpf_reldiff __gmpf_reldiff +__GMP_DECLSPEC void mpf_reldiff __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr)); + +#define mpf_set __gmpf_set +__GMP_DECLSPEC void mpf_set __GMP_PROTO ((mpf_ptr, mpf_srcptr)); + +#define mpf_set_d __gmpf_set_d +__GMP_DECLSPEC void mpf_set_d __GMP_PROTO ((mpf_ptr, double)); + +#define mpf_set_default_prec __gmpf_set_default_prec +__GMP_DECLSPEC void mpf_set_default_prec __GMP_PROTO ((mp_bitcnt_t)) __GMP_NOTHROW; + +#define mpf_set_prec __gmpf_set_prec +__GMP_DECLSPEC void mpf_set_prec __GMP_PROTO ((mpf_ptr, mp_bitcnt_t)); + +#define mpf_set_prec_raw __gmpf_set_prec_raw +__GMP_DECLSPEC void mpf_set_prec_raw __GMP_PROTO ((mpf_ptr, mp_bitcnt_t)) __GMP_NOTHROW; + +#define mpf_set_q __gmpf_set_q +__GMP_DECLSPEC void mpf_set_q __GMP_PROTO ((mpf_ptr, mpq_srcptr)); + +#define mpf_set_si __gmpf_set_si +__GMP_DECLSPEC void mpf_set_si __GMP_PROTO ((mpf_ptr, signed long int)); + +#define mpf_set_str __gmpf_set_str +__GMP_DECLSPEC int mpf_set_str __GMP_PROTO ((mpf_ptr, __gmp_const char *, int)); + +#define mpf_set_ui __gmpf_set_ui +__GMP_DECLSPEC void mpf_set_ui __GMP_PROTO ((mpf_ptr, unsigned long int)); + +#define mpf_set_z __gmpf_set_z +__GMP_DECLSPEC void mpf_set_z __GMP_PROTO ((mpf_ptr, mpz_srcptr)); + +#define mpf_size __gmpf_size +__GMP_DECLSPEC size_t mpf_size __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_sqrt __gmpf_sqrt +__GMP_DECLSPEC void mpf_sqrt __GMP_PROTO ((mpf_ptr, mpf_srcptr)); + +#define mpf_sqrt_ui __gmpf_sqrt_ui +__GMP_DECLSPEC void mpf_sqrt_ui __GMP_PROTO ((mpf_ptr, unsigned long int)); + +#define mpf_sub __gmpf_sub +__GMP_DECLSPEC void mpf_sub __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr)); + +#define mpf_sub_ui __gmpf_sub_ui +__GMP_DECLSPEC void mpf_sub_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int)); + +#define mpf_swap __gmpf_swap +__GMP_DECLSPEC void mpf_swap __GMP_PROTO ((mpf_ptr, mpf_ptr)) __GMP_NOTHROW; + +#define mpf_trunc __gmpf_trunc +__GMP_DECLSPEC void mpf_trunc __GMP_PROTO ((mpf_ptr, mpf_srcptr)); + +#define mpf_ui_div __gmpf_ui_div +__GMP_DECLSPEC void mpf_ui_div __GMP_PROTO ((mpf_ptr, unsigned long int, mpf_srcptr)); + +#define mpf_ui_sub __gmpf_ui_sub +__GMP_DECLSPEC void mpf_ui_sub __GMP_PROTO ((mpf_ptr, unsigned long int, mpf_srcptr)); + +#define mpf_urandomb __gmpf_urandomb +__GMP_DECLSPEC void mpf_urandomb __GMP_PROTO ((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 __GMP_PROTO ((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 __GMP_PROTO ((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 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)); + +#define mpn_addmul_1 __MPN(addmul_1) +__GMP_DECLSPEC mp_limb_t mpn_addmul_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)); + +#define mpn_bdivmod __MPN(bdivmod) +__GMP_DECLSPEC mp_limb_t mpn_bdivmod __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, unsigned long int)); + +#define mpn_divrem __MPN(divrem) +__GMP_DECLSPEC mp_limb_t mpn_divrem __GMP_PROTO ((mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t)); + +#define mpn_mulmod_2expp1 __MPN(mulmod_2expp1) +__GMP_DECLSPEC int mpn_mulmod_2expp1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr,int,unsigned long, mp_ptr)); + +#define mpn_mulmod_2expm1 __MPN(mulmod_2expm1) +__GMP_DECLSPEC void mpn_mulmod_2expm1 __GMP_PROTO ((mp_ptr, mp_ptr, mp_ptr,unsigned long, mp_ptr)); + +#define mpn_cmp __MPN(cmp) +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_cmp) +__GMP_DECLSPEC int mpn_cmp __GMP_PROTO ((mp_srcptr, mp_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; +#endif + +#define mpn_redc_1 __MPN(redc_1) +__GMP_DECLSPEC void mpn_redc_1 __GMP_PROTO ((mp_ptr, 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 __GMP_PROTO ((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_1 __MPN(divrem_1) +__GMP_DECLSPEC mp_limb_t mpn_divrem_1 __GMP_PROTO ((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 __GMP_PROTO ((mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr)); + +#define mpn_invert __MPN(invert) +__GMP_DECLSPEC void mpn_invert __GMP_PROTO ((mp_ptr xp, mp_srcptr ap, mp_size_t n)); + +#define mpn_sb_divappr_q __MPN(sb_divappr_q) +__GMP_DECLSPEC mp_limb_t mpn_sb_divappr_q __GMP_PROTO ((mp_ptr qp, mp_ptr np, mp_size_t nn, + mp_srcptr dp, mp_size_t dn, mp_limb_t dip)); + +#define mpn_dc_divappr_q_n __MPN(dc_divappr_q_n) +__GMP_DECLSPEC mp_limb_t mpn_dc_divappr_q_n __GMP_PROTO ((mp_ptr qp, mp_ptr np, mp_srcptr dp, mp_size_t n, + mp_limb_t dip, mp_ptr tp)); + +#define mpn_dc_bdiv_q_n __MPN(dc_bdiv_q_n) +__GMP_DECLSPEC void mpn_dc_bdiv_q_n __GMP_PROTO ((mp_ptr qp, mp_ptr wp, mp_ptr np, mp_srcptr dp, mp_size_t n, + mp_limb_t dinv, mp_ptr scratch)); + +#define mpn_inv_divappr_q_n __MPN(inv_divappr_q_n) +__GMP_DECLSPEC mp_limb_t mpn_inv_divappr_q_n __GMP_PROTO ((mp_ptr qp, mp_ptr np, mp_srcptr dp, mp_size_t n, + mp_srcptr dip)); + +#define mpn_dc_divappr_q __MPN(dc_divappr_q) +__GMP_DECLSPEC mp_limb_t mpn_dc_divappr_q __GMP_PROTO ((mp_ptr qp, mp_ptr np, mp_size_t nn, mp_srcptr dp, mp_size_t n, + mp_limb_t dinv)); + +#define mpn_dc_div_q __MPN(dc_div_q) +__GMP_DECLSPEC mp_limb_t mpn_dc_div_q __GMP_PROTO ((mp_ptr qp, mp_ptr np, mp_size_t nn, + mp_srcptr dp, mp_size_t dn, mp_limb_t dinv)); + +#define mpn_inv_divappr_q __MPN(inv_divappr_q) +__GMP_DECLSPEC mp_limb_t mpn_inv_divappr_q __GMP_PROTO ((mp_ptr qp, mp_ptr np, mp_size_t nn, mp_srcptr dp, mp_size_t n, + mp_srcptr dinv)); + +#define mpn_inv_div_q __MPN(inv_div_q) +__GMP_DECLSPEC mp_limb_t mpn_inv_div_q __GMP_PROTO ((mp_ptr qp, mp_ptr np, mp_size_t nn, + mp_srcptr dp, mp_size_t dn, mp_srcptr dinv)); + +#define mpn_inv_div_qr __MPN(inv_div_qr) +__GMP_DECLSPEC mp_limb_t mpn_inv_div_qr __GMP_PROTO ((mp_ptr qp, mp_ptr np, mp_size_t nn, + mp_srcptr dp, mp_size_t dn, mp_srcptr dinv)); + +#define mpn_inv_div_qr_n __MPN(inv_div_qr_n) +__GMP_DECLSPEC mp_limb_t mpn_inv_div_qr_n __GMP_PROTO ((mp_ptr qp, mp_ptr np, + mp_srcptr dp, mp_size_t dn, mp_srcptr dinv)); + +#define mpn_dc_div_qr __MPN(dc_div_qr) +__GMP_DECLSPEC mp_limb_t mpn_dc_div_qr __GMP_PROTO ((mp_ptr qp, mp_ptr np, mp_size_t nn, + mp_srcptr dp, mp_size_t dn, mp_limb_t dinv)); + +#define mpn_dc_div_qr_n __MPN(dc_div_qr_n) +__GMP_DECLSPEC mp_limb_t mpn_dc_div_qr_n __GMP_PROTO ((mp_ptr qp, mp_ptr np, mp_srcptr dp, mp_size_t n, + mp_limb_t dinv, mp_ptr tp)); + +#define mpn_sb_div_q __MPN(sb_div_q) +__GMP_DECLSPEC mp_limb_t mpn_sb_div_q __GMP_PROTO ((mp_ptr qp, mp_ptr np, mp_size_t nn, + mp_srcptr dp, mp_size_t dn, mp_limb_t dinv)); + +#define mpn_sb_bdiv_q __MPN(sb_bdiv_q) +__GMP_DECLSPEC void mpn_sb_bdiv_q __GMP_PROTO ((mp_ptr qp, mp_ptr wp, mp_ptr np, mp_size_t nn, + mp_srcptr dp, mp_size_t dn, mp_limb_t dinv)); + +#define mpn_dc_bdiv_q __MPN(dc_bdiv_q) +__GMP_DECLSPEC void mpn_dc_bdiv_q __GMP_PROTO ((mp_ptr qp, mp_ptr np, mp_size_t nn, + mp_srcptr dp, mp_size_t dn, mp_limb_t dinv)); + +#define mpn_dc_bdiv_qr __MPN(dc_bdiv_qr) +__GMP_DECLSPEC mp_limb_t mpn_dc_bdiv_qr __GMP_PROTO ((mp_ptr qp, mp_ptr np, mp_size_t nn, + mp_srcptr dp, mp_size_t dn, mp_limb_t dinv)); + +#define mpn_dc_bdiv_qr_n __MPN(dc_bdiv_qr_n) +__GMP_DECLSPEC mp_limb_t mpn_dc_bdiv_qr_n __GMP_PROTO ((mp_ptr qp, mp_ptr np, + mp_srcptr dp, mp_size_t n, mp_limb_t dinv, mp_ptr tp)); + +#define mpn_sb_div_qr __MPN(sb_div_qr) +__GMP_DECLSPEC mp_limb_t mpn_sb_div_qr __GMP_PROTO ((mp_ptr qp, mp_ptr np, mp_size_t nn, + mp_srcptr dp, mp_size_t dn, mp_limb_t dinv)); + +#define mpn_sb_bdiv_qr __MPN(sb_bdiv_qr) +__GMP_DECLSPEC mp_limb_t mpn_sb_bdiv_qr __GMP_PROTO ((mp_ptr qp, mp_ptr np, mp_size_t nn, + mp_srcptr dp, mp_size_t dn, mp_limb_t dinv)); + +#define mpn_tdiv_q __MPN(tdiv_q) +__GMP_DECLSPEC void mpn_tdiv_q __GMP_PROTO ((mp_ptr qp, mp_srcptr np, mp_size_t nn, + mp_srcptr dp, mp_size_t dn)); + +#define mpn_divexact __MPN(divexact) +__GMP_DECLSPEC void mpn_divexact __GMP_PROTO ((mp_ptr qp, + mp_srcptr np, mp_size_t nn, mp_srcptr dp, mp_size_t dn)); + +#define mpn_gcd __MPN(gcd) +__GMP_DECLSPEC mp_size_t mpn_gcd __GMP_PROTO ((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 __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t)) __GMP_ATTRIBUTE_PURE; + +#define mpn_gcdext __MPN(gcdext) +__GMP_DECLSPEC mp_size_t mpn_gcdext __GMP_PROTO ((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 __GMP_PROTO ((unsigned char *, int, mp_ptr, mp_size_t)); + +#define mpn_hamdist __MPN(hamdist) +__GMP_DECLSPEC mp_bitcnt_t mpn_hamdist __GMP_PROTO ((mp_srcptr, mp_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpn_lshift __MPN(lshift) +__GMP_DECLSPEC mp_limb_t mpn_lshift __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int)); + +#define mpn_mod_1 __MPN(mod_1) +__GMP_DECLSPEC mp_limb_t mpn_mod_1 __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t)) __GMP_ATTRIBUTE_PURE; + +#define mpn_mul __MPN(mul) +__GMP_DECLSPEC mp_limb_t mpn_mul __GMP_PROTO ((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 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)); + +#define mpn_mul_n __MPN(mul_n) +__GMP_DECLSPEC void mpn_mul_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)); + +#define mpn_sqr __MPN(sqr) +__GMP_DECLSPEC void mpn_sqr __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t)); + +#define mpn_neg_n __MPN(neg_n) +#define mpn_neg __MPN(neg_n) +__GMP_DECLSPEC mp_limb_t mpn_neg_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t)); + +#define mpn_com_n __MPN(com_n) +#define mpn_com __MPN(com_n) +__GMP_DECLSPEC void mpn_com_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t)); + +#define mpn_perfect_square_p __MPN(perfect_square_p) +__GMP_DECLSPEC int mpn_perfect_square_p __GMP_PROTO ((mp_srcptr, mp_size_t)) __GMP_ATTRIBUTE_PURE; + +#define mpn_popcount __MPN(popcount) +__GMP_DECLSPEC mp_bitcnt_t mpn_popcount __GMP_PROTO ((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 __GMP_PROTO ((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 __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t)) __GMP_ATTRIBUTE_PURE; + +#define mpn_random __MPN(random) +__GMP_DECLSPEC void mpn_random __GMP_PROTO ((mp_ptr, mp_size_t)); + +#define mpn_random2 __MPN(random2) +__GMP_DECLSPEC void mpn_random2 __GMP_PROTO ((mp_ptr, mp_size_t)); + +#define mpn_urandomb __MPN(urandomb) +__GMP_DECLSPEC void mpn_urandomb __GMP_PROTO ((mp_ptr, gmp_randstate_t, unsigned long)); + +#define mpn_urandomm __MPN(urandomm) +__GMP_DECLSPEC void mpn_urandomm __GMP_PROTO ((mp_ptr, gmp_randstate_t, mp_srcptr, mp_size_t)); + +#define mpn_randomb __MPN(randomb) +__GMP_DECLSPEC void mpn_randomb __GMP_PROTO ((mp_ptr, gmp_randstate_t, mp_size_t)); + +#define mpn_rrandom __MPN(rrandom) +__GMP_DECLSPEC void mpn_rrandom __GMP_PROTO ((mp_ptr, gmp_randstate_t, mp_size_t)); + +#define mpn_rshift __MPN(rshift) +__GMP_DECLSPEC mp_limb_t mpn_rshift __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int)); + +#define mpn_scan0 __MPN(scan0) +__GMP_DECLSPEC mp_bitcnt_t mpn_scan0 __GMP_PROTO ((mp_srcptr, mp_bitcnt_t)) __GMP_ATTRIBUTE_PURE; + +#define mpn_scan1 __MPN(scan1) +__GMP_DECLSPEC mp_bitcnt_t mpn_scan1 __GMP_PROTO ((mp_srcptr, mp_bitcnt_t)) __GMP_ATTRIBUTE_PURE; + +#define mpn_set_str __MPN(set_str) +__GMP_DECLSPEC mp_size_t mpn_set_str __GMP_PROTO ((mp_ptr, __gmp_const unsigned char *, size_t, int)); + +#define mpn_sqrtrem __MPN(sqrtrem) +__GMP_DECLSPEC mp_size_t mpn_sqrtrem __GMP_PROTO ((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 __GMP_PROTO ((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 __GMP_PROTO ((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 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)); + +#define mpn_submul_1 __MPN(submul_1) +__GMP_DECLSPEC mp_limb_t mpn_submul_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)); + +#define mpn_tdiv_qr __MPN(tdiv_qr) +__GMP_DECLSPEC void mpn_tdiv_qr __GMP_PROTO ((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 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)); +#define mpn_andn_n __MPN(andn_n) +__GMP_DECLSPEC void mpn_andn_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)); +#define mpn_nand_n __MPN(nand_n) +__GMP_DECLSPEC void mpn_nand_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)); +#define mpn_ior_n __MPN(ior_n) +__GMP_DECLSPEC void mpn_ior_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)); +#define mpn_iorn_n __MPN(iorn_n) +__GMP_DECLSPEC void mpn_iorn_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)); +#define mpn_nior_n __MPN(nior_n) +__GMP_DECLSPEC void mpn_nior_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)); +#define mpn_xor_n __MPN(xor_n) +__GMP_DECLSPEC void mpn_xor_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)); +#define mpn_xnor_n __MPN(xnor_n) +__GMP_DECLSPEC void mpn_xnor_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)); + +#define mpn_copyi __MPN(copyi) +__GMP_DECLSPEC void mpn_copyi __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t)); +#define mpn_copyd __MPN(copyd) +__GMP_DECLSPEC void mpn_copyd __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t)); +#define mpn_zero __MPN(zero) +__GMP_DECLSPEC void mpn_zero __GMP_PROTO ((mp_ptr, mp_size_t)); + +/**************** 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, __GMP_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, __GMP_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, __GMP_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 + "__GMP_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 (unsigned long)(__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 ? __GMP_BITCNT_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)); */ \ + 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_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 (__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__) +#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) && (SI) == 0 ? mpz_sgn (Z) \ + : __builtin_constant_p (SI) && (SI) > 0 \ + ? _mpz_cmp_ui (Z, __GMP_CAST (unsigned long int, SI)) \ + : _mpz_cmp_si (Z,SI)) +#define mpq_cmp_ui(Q,NUI,DUI) \ + (__builtin_constant_p (NUI) && (NUI) == 0 \ + ? mpq_sgn (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 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)) + +#define gmp_randinit(x,y,z) gmp_randinit_lc_2exp_size(x,z) + +typedef __mpz_struct MP_INT; /* gmp 1 source compatibility */ +typedef __mpq_struct MP_RAT; /* gmp 1 source compatibility */ + +#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 +}; + +/* Major version number is the value of __GNU_MP__ too, above and in mp.h. */ +#define __GNU_MP_VERSION 5 +#define __GNU_MP_VERSION_MINOR 0 +#define __GNU_MP_VERSION_PATCHLEVEL 2 +#define GMP_VERSION "5.0.2" + +#define __MPIR_VERSION 2 +#define __MPIR_VERSION_MINOR 4 +#define __MPIR_VERSION_PATCHLEVEL 0 +#if defined( _MSC_VER ) +#define _MSC_MPIR_VERSION "2.4.0" +#endif + +/* These are for programs like MPFR to use the same CC and CFLAGS as MPIR */ + +#if ! defined (__GMP_WITHIN_CONFIGURE) +/* No __GMP_CC here as --enable-gmpcompat option not selected */ + +#define __MPIR_CC "gcc" +#define __MPIR_CFLAGS "-O2 -m64 -march=corei7 -mtune=corei7" +#endif + +#define __GMP_H__ +#endif /* __GMP_H__ */ diff --git a/src/external/inc/linux-g++/mpir-2.4.0/mpirxx.h b/src/external/inc/linux-g++/mpir-2.4.0/mpirxx.h new file mode 100644 index 000000000..3ad1dcf6f --- /dev/null +++ b/src/external/inc/linux-g++/mpir-2.4.0/mpirxx.h @@ -0,0 +1,3403 @@ +/* mpirxx.h -- C++ class wrapper for GMP types. -*- C++ -*- + +Copyright 2001, 2002, 2003, 2006, 2008 Free Software Foundation, Inc. + +Copyright 2009 William Hart + +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 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 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 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/. */ + +/* the C++ compiler must implement the following features: + - member templates + - partial specialization of templates + - namespace support + for g++, this means version 2.91 or higher + for other compilers, I don't know */ +#ifdef __GNUC__ +#if __GNUC__ < 2 || (__GNUC__ == 2 && __GNUC_MINOR__ < 91) +#error mpirxx.h requires g++ version 2.91 (egcs 1.1.2) or higher +#endif +#endif + +#ifndef __GMP_PLUSPLUS__ +#define __GMP_PLUSPLUS__ + +#include + +#include /* for strlen */ +#include +#include +#include +#include + + +/**************** Function objects ****************/ +/* Any evaluation of a __gmp_expr ends up calling one of these functions + all intermediate functions being inline, the evaluation should optimize + to a direct call to the relevant function, thus yielding no overhead + over the C interface. */ + +struct __gmp_unary_plus +{ + static void eval(mpz_ptr z, mpz_srcptr w) { mpz_set(z, w); } + static void eval(mpq_ptr q, mpq_srcptr r) { mpq_set(q, r); } + static void eval(mpf_ptr f, mpf_srcptr g) { mpf_set(f, g); } +}; + +struct __gmp_unary_minus +{ + static void eval(mpz_ptr z, mpz_srcptr w) { mpz_neg(z, w); } + static void eval(mpq_ptr q, mpq_srcptr r) { mpq_neg(q, r); } + static void eval(mpf_ptr f, mpf_srcptr g) { mpf_neg(f, g); } +}; + +struct __gmp_unary_com +{ + static void eval(mpz_ptr z, mpz_srcptr w) { mpz_com(z, w); } +}; + +struct __gmp_binary_plus +{ + static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v) + { mpz_add(z, w, v); } + + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { mpz_add_ui(z, w, l); } + static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w) + { mpz_add_ui(z, w, l); } + static void eval(mpz_ptr z, mpz_srcptr w, signed long int l) + { + if (l >= 0) + mpz_add_ui(z, w, l); + else + mpz_sub_ui(z, w, -l); + } + static void eval(mpz_ptr z, signed long int l, mpz_srcptr w) + { + if (l >= 0) + mpz_add_ui(z, w, l); + else + mpz_sub_ui(z, w, -l); + } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { + mpz_t temp; + mpz_init_set_d(temp, d); + mpz_add(z, w, temp); + mpz_clear(temp); + } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { + mpz_t temp; + mpz_init_set_d(temp, d); + mpz_add(z, temp, w); + mpz_clear(temp); + } + + static void eval(mpq_ptr q, mpq_srcptr r, mpq_srcptr s) + { mpq_add(q, r, s); } + + static void eval(mpq_ptr q, mpq_srcptr r, unsigned long int l) + { mpq_set(q, r); mpz_addmul_ui(mpq_numref(q), mpq_denref(q), l); } + static void eval(mpq_ptr q, unsigned long int l, mpq_srcptr r) + { mpq_set(q, r); mpz_addmul_ui(mpq_numref(q), mpq_denref(q), l); } + static void eval(mpq_ptr q, mpq_srcptr r, signed long int l) + { + mpq_set(q, r); + if (l >= 0) + mpz_addmul_ui(mpq_numref(q), mpq_denref(q), l); + else + mpz_submul_ui(mpq_numref(q), mpq_denref(q), -l); + } + static void eval(mpq_ptr q, signed long int l, mpq_srcptr r) + { + mpq_set(q, r); + if (l >= 0) + mpz_addmul_ui(mpq_numref(q), mpq_denref(q), l); + else + mpz_submul_ui(mpq_numref(q), mpq_denref(q), -l); + } + static void eval(mpq_ptr q, mpq_srcptr r, double d) + { + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + mpq_add(q, r, temp); + mpq_clear(temp); + } + static void eval(mpq_ptr q, double d, mpq_srcptr r) + { + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + mpq_add(q, temp, r); + mpq_clear(temp); + } + + static void eval(mpq_ptr q, mpq_srcptr r, mpz_srcptr z) + { mpq_set(q, r); mpz_addmul(mpq_numref(q), mpq_denref(q), z); } + static void eval(mpq_ptr q, mpz_srcptr z, mpq_srcptr r) + { mpq_set(q, r); mpz_addmul(mpq_numref(q), mpq_denref(q), z); } + + static void eval(mpf_ptr f, mpf_srcptr g, mpf_srcptr h) + { mpf_add(f, g, h); } + + static void eval(mpf_ptr f, mpf_srcptr g, unsigned long int l) + { mpf_add_ui(f, g, l); } + static void eval(mpf_ptr f, unsigned long int l, mpf_srcptr g) + { mpf_add_ui(f, g, l); } + static void eval(mpf_ptr f, mpf_srcptr g, signed long int l) + { + if (l >= 0) + mpf_add_ui(f, g, l); + else + mpf_sub_ui(f, g, -l); + } + static void eval(mpf_ptr f, signed long int l, mpf_srcptr g) + { + if (l >= 0) + mpf_add_ui(f, g, l); + else + mpf_sub_ui(f, g, -l); + } + static void eval(mpf_ptr f, mpf_srcptr g, double d) + { + mpf_t temp; + mpf_init2(temp, 8*sizeof(double)); + mpf_set_d(temp, d); + mpf_add(f, g, temp); + mpf_clear(temp); + } + static void eval(mpf_ptr f, double d, mpf_srcptr g) + { + mpf_t temp; + mpf_init2(temp, 8*sizeof(double)); + mpf_set_d(temp, d); + mpf_add(f, temp, g); + mpf_clear(temp); + } +}; + +struct __gmp_binary_minus +{ + static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v) + { mpz_sub(z, w, v); } + + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { mpz_sub_ui(z, w, l); } + static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w) + { mpz_ui_sub(z, l, w); } + static void eval(mpz_ptr z, mpz_srcptr w, signed long int l) + { + if (l >= 0) + mpz_sub_ui(z, w, l); + else + mpz_add_ui(z, w, -l); + } + static void eval(mpz_ptr z, signed long int l, mpz_srcptr w) + { + if (l >= 0) + mpz_ui_sub(z, l, w); + else + { + mpz_add_ui(z, w, -l); + mpz_neg(z, z); + } + } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { + mpz_t temp; + mpz_init_set_d(temp, d); + mpz_sub(z, w, temp); + mpz_clear(temp); + } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { + mpz_t temp; + mpz_init_set_d(temp, d); + mpz_sub(z, temp, w); + mpz_clear(temp); + } + + static void eval(mpq_ptr q, mpq_srcptr r, mpq_srcptr s) + { mpq_sub(q, r, s); } + + static void eval(mpq_ptr q, mpq_srcptr r, unsigned long int l) + { mpq_set(q, r); mpz_submul_ui(mpq_numref(q), mpq_denref(q), l); } + static void eval(mpq_ptr q, unsigned long int l, mpq_srcptr r) + { mpq_neg(q, r); mpz_addmul_ui(mpq_numref(q), mpq_denref(q), l); } + static void eval(mpq_ptr q, mpq_srcptr r, signed long int l) + { + mpq_set(q, r); + if (l >= 0) + mpz_submul_ui(mpq_numref(q), mpq_denref(q), l); + else + mpz_addmul_ui(mpq_numref(q), mpq_denref(q), -l); + } + static void eval(mpq_ptr q, signed long int l, mpq_srcptr r) + { + mpq_neg(q, r); + if (l >= 0) + mpz_addmul_ui(mpq_numref(q), mpq_denref(q), l); + else + mpz_submul_ui(mpq_numref(q), mpq_denref(q), -l); + } + static void eval(mpq_ptr q, mpq_srcptr r, double d) + { + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + mpq_sub(q, r, temp); + mpq_clear(temp); + } + static void eval(mpq_ptr q, double d, mpq_srcptr r) + { + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + mpq_sub(q, temp, r); + mpq_clear(temp); + } + + static void eval(mpq_ptr q, mpq_srcptr r, mpz_srcptr z) + { mpq_set(q, r); mpz_submul(mpq_numref(q), mpq_denref(q), z); } + static void eval(mpq_ptr q, mpz_srcptr z, mpq_srcptr r) + { mpq_neg(q, r); mpz_addmul(mpq_numref(q), mpq_denref(q), z); } + + static void eval(mpf_ptr f, mpf_srcptr g, mpf_srcptr h) + { mpf_sub(f, g, h); } + + static void eval(mpf_ptr f, mpf_srcptr g, unsigned long int l) + { mpf_sub_ui(f, g, l); } + static void eval(mpf_ptr f, unsigned long int l, mpf_srcptr g) + { mpf_ui_sub(f, l, g); } + static void eval(mpf_ptr f, mpf_srcptr g, signed long int l) + { + if (l >= 0) + mpf_sub_ui(f, g, l); + else + mpf_add_ui(f, g, -l); + } + static void eval(mpf_ptr f, signed long int l, mpf_srcptr g) + { + if (l >= 0) + mpf_sub_ui(f, g, l); + else + mpf_add_ui(f, g, -l); + mpf_neg(f, f); + } + static void eval(mpf_ptr f, mpf_srcptr g, double d) + { + mpf_t temp; + mpf_init2(temp, 8*sizeof(double)); + mpf_set_d(temp, d); + mpf_sub(f, g, temp); + mpf_clear(temp); + } + static void eval(mpf_ptr f, double d, mpf_srcptr g) + { + mpf_t temp; + mpf_init2(temp, 8*sizeof(double)); + mpf_set_d(temp, d); + mpf_sub(f, temp, g); + mpf_clear(temp); + } +}; + +struct __gmp_binary_multiplies +{ + static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v) + { mpz_mul(z, w, v); } + + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { mpz_mul_ui(z, w, l); } + static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w) + { mpz_mul_ui(z, w, l); } + static void eval(mpz_ptr z, mpz_srcptr w, signed long int l) + { mpz_mul_si (z, w, l); } + static void eval(mpz_ptr z, signed long int l, mpz_srcptr w) + { mpz_mul_si (z, w, l); } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { + mpz_t temp; + mpz_init_set_d(temp, d); + mpz_mul(z, w, temp); + mpz_clear(temp); + } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { + mpz_t temp; + mpz_init_set_d(temp, d); + mpz_mul(z, temp, w); + mpz_clear(temp); + } + + static void eval(mpq_ptr q, mpq_srcptr r, mpq_srcptr s) + { mpq_mul(q, r, s); } + + static void eval(mpq_ptr q, mpq_srcptr r, unsigned long int l) + { + mpq_t temp; + mpq_init(temp); + mpq_set_ui(temp, l, 1); + mpq_mul(q, r, temp); + mpq_clear(temp); + } + static void eval(mpq_ptr q, unsigned long int l, mpq_srcptr r) + { + mpq_t temp; + mpq_init(temp); + mpq_set_ui(temp, l, 1); + mpq_mul(q, temp, r); + mpq_clear(temp); + } + static void eval(mpq_ptr q, mpq_srcptr r, signed long int l) + { + mpq_t temp; + mpq_init(temp); + mpq_set_si(temp, l, 1); + mpq_mul(q, r, temp); + mpq_clear(temp); + } + static void eval(mpq_ptr q, signed long int l, mpq_srcptr r) + { + mpq_t temp; + mpq_init(temp); + mpq_set_si(temp, l, 1); + mpq_mul(q, temp, r); + mpq_clear(temp); + } + static void eval(mpq_ptr q, mpq_srcptr r, double d) + { + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + mpq_mul(q, r, temp); + mpq_clear(temp); + } + static void eval(mpq_ptr q, double d, mpq_srcptr r) + { + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + mpq_mul(q, temp, r); + mpq_clear(temp); + } + + static void eval(mpf_ptr f, mpf_srcptr g, mpf_srcptr h) + { mpf_mul(f, g, h); } + + static void eval(mpf_ptr f, mpf_srcptr g, unsigned long int l) + { mpf_mul_ui(f, g, l); } + static void eval(mpf_ptr f, unsigned long int l, mpf_srcptr g) + { mpf_mul_ui(f, g, l); } + static void eval(mpf_ptr f, mpf_srcptr g, signed long int l) + { + if (l >= 0) + mpf_mul_ui(f, g, l); + else + { + mpf_mul_ui(f, g, -l); + mpf_neg(f, f); + } + } + static void eval(mpf_ptr f, signed long int l, mpf_srcptr g) + { + if (l >= 0) + mpf_mul_ui(f, g, l); + else + { + mpf_mul_ui(f, g, -l); + mpf_neg(f, f); + } + } + static void eval(mpf_ptr f, mpf_srcptr g, double d) + { + mpf_t temp; + mpf_init2(temp, 8*sizeof(double)); + mpf_set_d(temp, d); + mpf_mul(f, g, temp); + mpf_clear(temp); + } + static void eval(mpf_ptr f, double d, mpf_srcptr g) + { + mpf_t temp; + mpf_init2(temp, 8*sizeof(double)); + mpf_set_d(temp, d); + mpf_mul(f, temp, g); + mpf_clear(temp); + } +}; + +struct __gmp_binary_divides +{ + static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v) + { mpz_tdiv_q(z, w, v); } + + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { mpz_tdiv_q_ui(z, w, l); } + static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w) + { + if (mpz_sgn(w) >= 0) + { + if (mpz_fits_ulong_p(w)) + mpz_set_ui(z, l / mpz_get_ui(w)); + else + mpz_set_ui(z, 0); + } + else + { + mpz_neg(z, w); + if (mpz_fits_ulong_p(z)) + { + mpz_set_ui(z, l / mpz_get_ui(z)); + mpz_neg(z, z); + } + else + mpz_set_ui(z, 0); + } + } + static void eval(mpz_ptr z, mpz_srcptr w, signed long int l) + { + if (l >= 0) + mpz_tdiv_q_ui(z, w, l); + else + { + mpz_tdiv_q_ui(z, w, -l); + mpz_neg(z, z); + } + } + static void eval(mpz_ptr z, signed long int l, mpz_srcptr w) + { + if (mpz_fits_slong_p(w)) + mpz_set_si(z, l / mpz_get_si(w)); + else + { + /* if w is bigger than a long then the quotient must be zero, unless + l==LONG_MIN and w==-LONG_MIN in which case the quotient is -1 */ + mpz_set_si (z, (mpz_cmpabs_ui (w, (l >= 0 ? l : -l)) == 0 ? -1 : 0)); + } + } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { + mpz_t temp; + mpz_init_set_d(temp, d); + mpz_tdiv_q(z, w, temp); + mpz_clear(temp); + } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { + mpz_t temp; + mpz_init_set_d(temp, d); + mpz_tdiv_q(z, temp, w); + mpz_clear(temp); + } + + static void eval(mpq_ptr q, mpq_srcptr r, mpq_srcptr s) + { mpq_div(q, r, s); } + + static void eval(mpq_ptr q, mpq_srcptr r, unsigned long int l) + { + mpq_t temp; + mpq_init(temp); + mpq_set_ui(temp, l, 1); + mpq_div(q, r, temp); + mpq_clear(temp); + } + static void eval(mpq_ptr q, unsigned long int l, mpq_srcptr r) + { + mpq_t temp; + mpq_init(temp); + mpq_set_ui(temp, l, 1); + mpq_div(q, temp, r); + mpq_clear(temp); + } + static void eval(mpq_ptr q, mpq_srcptr r, signed long int l) + { + mpq_t temp; + mpq_init(temp); + mpq_set_si(temp, l, 1); + mpq_div(q, r, temp); + mpq_clear(temp); + } + static void eval(mpq_ptr q, signed long int l, mpq_srcptr r) + { + mpq_t temp; + mpq_init(temp); + mpq_set_si(temp, l, 1); + mpq_div(q, temp, r); + mpq_clear(temp); + } + static void eval(mpq_ptr q, mpq_srcptr r, double d) + { + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + mpq_div(q, r, temp); + mpq_clear(temp); + } + static void eval(mpq_ptr q, double d, mpq_srcptr r) + { + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + mpq_div(q, temp, r); + mpq_clear(temp); + } + + static void eval(mpf_ptr f, mpf_srcptr g, mpf_srcptr h) + { mpf_div(f, g, h); } + + static void eval(mpf_ptr f, mpf_srcptr g, unsigned long int l) + { mpf_div_ui(f, g, l); } + static void eval(mpf_ptr f, unsigned long int l, mpf_srcptr g) + { mpf_ui_div(f, l, g); } + static void eval(mpf_ptr f, mpf_srcptr g, signed long int l) + { + if (l >= 0) + mpf_div_ui(f, g, l); + else + { + mpf_div_ui(f, g, -l); + mpf_neg(f, f); + } + } + static void eval(mpf_ptr f, signed long int l, mpf_srcptr g) + { + if (l >= 0) + mpf_ui_div(f, l, g); + else + { + mpf_ui_div(f, -l, g); + mpf_neg(f, f); + } + } + static void eval(mpf_ptr f, mpf_srcptr g, double d) + { + mpf_t temp; + mpf_init2(temp, 8*sizeof(double)); + mpf_set_d(temp, d); + mpf_div(f, g, temp); + mpf_clear(temp); + } + static void eval(mpf_ptr f, double d, mpf_srcptr g) + { + mpf_t temp; + mpf_init2(temp, 8*sizeof(double)); + mpf_set_d(temp, d); + mpf_div(f, temp, g); + mpf_clear(temp); + } +}; + +struct __gmp_binary_modulus +{ + static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v) + { mpz_tdiv_r(z, w, v); } + + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { mpz_tdiv_r_ui(z, w, l); } + static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w) + { + if (mpz_sgn(w) >= 0) + { + if (mpz_fits_ulong_p(w)) + mpz_set_ui(z, l % mpz_get_ui(w)); + else + mpz_set_ui(z, l); + } + else + { + mpz_neg(z, w); + if (mpz_fits_ulong_p(z)) + mpz_set_ui(z, l % mpz_get_ui(z)); + else + mpz_set_ui(z, l); + } + } + static void eval(mpz_ptr z, mpz_srcptr w, signed long int l) + { + mpz_tdiv_r_ui (z, w, (l >= 0 ? l : -l)); + } + static void eval(mpz_ptr z, signed long int l, mpz_srcptr w) + { + if (mpz_fits_slong_p(w)) + mpz_set_si(z, l % mpz_get_si(w)); + else + { + /* if w is bigger than a long then the remainder is l unchanged, + unless l==LONG_MIN and w==-LONG_MIN in which case it's 0 */ + mpz_set_si (z, mpz_cmpabs_ui (w, (l >= 0 ? l : -l)) == 0 ? 0 : l); + } + } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { + mpz_t temp; + mpz_init_set_d(temp, d); + mpz_tdiv_r(z, w, temp); + mpz_clear(temp); + } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { + mpz_t temp; + mpz_init_set_d(temp, d); + mpz_tdiv_r(z, temp, w); + mpz_clear(temp); + } +}; + +// Max allocations for plain types when converted to mpz_t +#define __GMP_DBL_LIMBS (2 + DBL_MAX_EXP / GMP_NUMB_BITS) +#define __GMP_ULI_LIMBS (1 + (8 * sizeof (long) - 1) / GMP_NUMB_BITS) + +#define __GMPXX_TMP_UI \ + mpz_t temp; \ + mp_limb_t limbs[__GMP_ULI_LIMBS]; \ + temp->_mp_d = limbs; \ + temp->_mp_alloc = __GMP_ULI_LIMBS; \ + mpz_set_ui (temp, l) +#define __GMPXX_TMP_SI \ + mpz_t temp; \ + mp_limb_t limbs[__GMP_ULI_LIMBS]; \ + temp->_mp_d = limbs; \ + temp->_mp_alloc = __GMP_ULI_LIMBS; \ + mpz_set_si (temp, l) +#define __GMPXX_TMP_D \ + mpz_t temp; \ + mp_limb_t limbs[__GMP_DBL_LIMBS]; \ + temp->_mp_d = limbs; \ + temp->_mp_alloc = __GMP_DBL_LIMBS; \ + mpz_set_d (temp, d) + +struct __gmp_binary_and +{ + static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v) + { mpz_and(z, w, v); } + + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { __GMPXX_TMP_UI; mpz_and (z, w, temp); } + static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w) + { __GMPXX_TMP_UI; mpz_and (z, w, temp); } + static void eval(mpz_ptr z, mpz_srcptr w, signed long int l) + { __GMPXX_TMP_SI; mpz_and (z, w, temp); } + static void eval(mpz_ptr z, signed long int l, mpz_srcptr w) + { __GMPXX_TMP_SI; mpz_and (z, w, temp); } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { __GMPXX_TMP_D; mpz_and (z, w, temp); } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { __GMPXX_TMP_D; mpz_and (z, w, temp); } +}; + +struct __gmp_binary_ior +{ + static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v) + { mpz_ior(z, w, v); } + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { __GMPXX_TMP_UI; mpz_ior (z, w, temp); } + static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w) + { __GMPXX_TMP_UI; mpz_ior (z, w, temp); } + static void eval(mpz_ptr z, mpz_srcptr w, signed long int l) + { __GMPXX_TMP_SI; mpz_ior (z, w, temp); } + static void eval(mpz_ptr z, signed long int l, mpz_srcptr w) + { __GMPXX_TMP_SI; mpz_ior (z, w, temp); } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { __GMPXX_TMP_D; mpz_ior (z, w, temp); } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { __GMPXX_TMP_D; mpz_ior (z, w, temp); } +}; + +struct __gmp_binary_xor +{ + static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v) + { mpz_xor(z, w, v); } + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { __GMPXX_TMP_UI; mpz_xor (z, w, temp); } + static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w) + { __GMPXX_TMP_UI; mpz_xor (z, w, temp); } + static void eval(mpz_ptr z, mpz_srcptr w, signed long int l) + { __GMPXX_TMP_SI; mpz_xor (z, w, temp); } + static void eval(mpz_ptr z, signed long int l, mpz_srcptr w) + { __GMPXX_TMP_SI; mpz_xor (z, w, temp); } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { __GMPXX_TMP_D; mpz_xor (z, w, temp); } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { __GMPXX_TMP_D; mpz_xor (z, w, temp); } +}; + +struct __gmp_binary_lshift +{ + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { mpz_mul_2exp(z, w, l); } + static void eval(mpq_ptr q, mpq_srcptr r, unsigned long int l) + { mpq_mul_2exp(q, r, l); } + static void eval(mpf_ptr f, mpf_srcptr g, unsigned long int l) + { mpf_mul_2exp(f, g, l); } +}; + +struct __gmp_binary_rshift +{ + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { mpz_fdiv_q_2exp(z, w, l); } + static void eval(mpq_ptr q, mpq_srcptr r, unsigned long int l) + { mpq_div_2exp(q, r, l); } + static void eval(mpf_ptr f, mpf_srcptr g, unsigned long int l) + { mpf_div_2exp(f, g, l); } +}; + +struct __gmp_binary_equal +{ + static bool eval(mpz_srcptr z, mpz_srcptr w) { return mpz_cmp(z, w) == 0; } + + static bool eval(mpz_srcptr z, unsigned long int l) + { return mpz_cmp_ui(z, l) == 0; } + static bool eval(unsigned long int l, mpz_srcptr z) + { return mpz_cmp_ui(z, l) == 0; } + static bool eval(mpz_srcptr z, signed long int l) + { return mpz_cmp_si(z, l) == 0; } + static bool eval(signed long int l, mpz_srcptr z) + { return mpz_cmp_si(z, l) == 0; } + static bool eval(mpz_srcptr z, double d) + { return mpz_cmp_d(z, d) == 0; } + static bool eval(double d, mpz_srcptr z) + { return mpz_cmp_d(z, d) == 0; } + + static bool eval(mpq_srcptr q, mpq_srcptr r) + { return mpq_equal(q, r) != 0; } + + static bool eval(mpq_srcptr q, unsigned long int l) + { return mpq_cmp_ui(q, l, 1) == 0; } + static bool eval(unsigned long int l, mpq_srcptr q) + { return mpq_cmp_ui(q, l, 1) == 0; } + static bool eval(mpq_srcptr q, signed long int l) + { return mpq_cmp_si(q, l, 1) == 0; } + static bool eval(signed long int l, mpq_srcptr q) + { return mpq_cmp_si(q, l, 1) == 0; } + static bool eval(mpq_srcptr q, double d) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_equal(q, temp) != 0); + mpq_clear(temp); + return b; + } + static bool eval(double d, mpq_srcptr q) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_equal(temp, q) != 0); + mpq_clear(temp); + return b; + } + + static bool eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g) == 0; } + + static bool eval(mpf_srcptr f, unsigned long int l) + { return mpf_cmp_ui(f, l) == 0; } + static bool eval(unsigned long int l, mpf_srcptr f) + { return mpf_cmp_ui(f, l) == 0; } + static bool eval(mpf_srcptr f, signed long int l) + { return mpf_cmp_si(f, l) == 0; } + static bool eval(signed long int l, mpf_srcptr f) + { return mpf_cmp_si(f, l) == 0; } + static bool eval(mpf_srcptr f, double d) + { return mpf_cmp_d(f, d) == 0; } + static bool eval(double d, mpf_srcptr f) + { return mpf_cmp_d(f, d) == 0; } +}; + +struct __gmp_binary_not_equal +{ + static bool eval(mpz_srcptr z, mpz_srcptr w) { return mpz_cmp(z, w) != 0; } + + static bool eval(mpz_srcptr z, unsigned long int l) + { return mpz_cmp_ui(z, l) != 0; } + static bool eval(unsigned long int l, mpz_srcptr z) + { return mpz_cmp_ui(z, l) != 0; } + static bool eval(mpz_srcptr z, signed long int l) + { return mpz_cmp_si(z, l) != 0; } + static bool eval(signed long int l, mpz_srcptr z) + { return mpz_cmp_si(z, l) != 0; } + static bool eval(mpz_srcptr z, double d) + { return mpz_cmp_d(z, d) != 0; } + static bool eval(double d, mpz_srcptr z) + { return mpz_cmp_d(z, d) != 0; } + + static bool eval(mpq_srcptr q, mpq_srcptr r) + { return mpq_equal(q, r) == 0; } + + static bool eval(mpq_srcptr q, unsigned long int l) + { return mpq_cmp_ui(q, l, 1) != 0; } + static bool eval(unsigned long int l, mpq_srcptr q) + { return mpq_cmp_ui(q, l, 1) != 0; } + static bool eval(mpq_srcptr q, signed long int l) + { return mpq_cmp_si(q, l, 1) != 0; } + static bool eval(signed long int l, mpq_srcptr q) + { return mpq_cmp_si(q, l, 1) != 0; } + static bool eval(mpq_srcptr q, double d) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_equal(q, temp) == 0); + mpq_clear(temp); + return b; + } + static bool eval(double d, mpq_srcptr q) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_equal(temp, q) == 0); + mpq_clear(temp); + return b; + } + + static bool eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g) != 0; } + + static bool eval(mpf_srcptr f, unsigned long int l) + { return mpf_cmp_ui(f, l) != 0; } + static bool eval(unsigned long int l, mpf_srcptr f) + { return mpf_cmp_ui(f, l) != 0; } + static bool eval(mpf_srcptr f, signed long int l) + { return mpf_cmp_si(f, l) != 0; } + static bool eval(signed long int l, mpf_srcptr f) + { return mpf_cmp_si(f, l) != 0; } + static bool eval(mpf_srcptr f, double d) + { return mpf_cmp_d(f, d) != 0; } + static bool eval(double d, mpf_srcptr f) + { return mpf_cmp_d(f, d) != 0; } +}; + +struct __gmp_binary_less +{ + static bool eval(mpz_srcptr z, mpz_srcptr w) { return mpz_cmp(z, w) < 0; } + + static bool eval(mpz_srcptr z, unsigned long int l) + { return mpz_cmp_ui(z, l) < 0; } + static bool eval(unsigned long int l, mpz_srcptr z) + { return mpz_cmp_ui(z, l) > 0; } + static bool eval(mpz_srcptr z, signed long int l) + { return mpz_cmp_si(z, l) < 0; } + static bool eval(signed long int l, mpz_srcptr z) + { return mpz_cmp_si(z, l) > 0; } + static bool eval(mpz_srcptr z, double d) + { return mpz_cmp_d(z, d) < 0; } + static bool eval(double d, mpz_srcptr z) + { return mpz_cmp_d(z, d) > 0; } + + static bool eval(mpq_srcptr q, mpq_srcptr r) { return mpq_cmp(q, r) < 0; } + + static bool eval(mpq_srcptr q, unsigned long int l) + { return mpq_cmp_ui(q, l, 1) < 0; } + static bool eval(unsigned long int l, mpq_srcptr q) + { return mpq_cmp_ui(q, l, 1) > 0; } + static bool eval(mpq_srcptr q, signed long int l) + { return mpq_cmp_si(q, l, 1) < 0; } + static bool eval(signed long int l, mpq_srcptr q) + { return mpq_cmp_si(q, l, 1) > 0; } + static bool eval(mpq_srcptr q, double d) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_cmp(q, temp) < 0); + mpq_clear(temp); + return b; + } + static bool eval(double d, mpq_srcptr q) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_cmp(temp, q) < 0); + mpq_clear(temp); + return b; + } + + static bool eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g) < 0; } + + static bool eval(mpf_srcptr f, unsigned long int l) + { return mpf_cmp_ui(f, l) < 0; } + static bool eval(unsigned long int l, mpf_srcptr f) + { return mpf_cmp_ui(f, l) > 0; } + static bool eval(mpf_srcptr f, signed long int l) + { return mpf_cmp_si(f, l) < 0; } + static bool eval(signed long int l, mpf_srcptr f) + { return mpf_cmp_si(f, l) > 0; } + static bool eval(mpf_srcptr f, double d) + { return mpf_cmp_d(f, d) < 0; } + static bool eval(double d, mpf_srcptr f) + { return mpf_cmp_d(f, d) > 0; } +}; + +struct __gmp_binary_less_equal +{ + static bool eval(mpz_srcptr z, mpz_srcptr w) { return mpz_cmp(z, w) <= 0; } + + static bool eval(mpz_srcptr z, unsigned long int l) + { return mpz_cmp_ui(z, l) <= 0; } + static bool eval(unsigned long int l, mpz_srcptr z) + { return mpz_cmp_ui(z, l) >= 0; } + static bool eval(mpz_srcptr z, signed long int l) + { return mpz_cmp_si(z, l) <= 0; } + static bool eval(signed long int l, mpz_srcptr z) + { return mpz_cmp_si(z, l) >= 0; } + static bool eval(mpz_srcptr z, double d) + { return mpz_cmp_d(z, d) <= 0; } + static bool eval(double d, mpz_srcptr z) + { return mpz_cmp_d(z, d) >= 0; } + + static bool eval(mpq_srcptr q, mpq_srcptr r) { return mpq_cmp(q, r) <= 0; } + + static bool eval(mpq_srcptr q, unsigned long int l) + { return mpq_cmp_ui(q, l, 1) <= 0; } + static bool eval(unsigned long int l, mpq_srcptr q) + { return mpq_cmp_ui(q, l, 1) >= 0; } + static bool eval(mpq_srcptr q, signed long int l) + { return mpq_cmp_si(q, l, 1) <= 0; } + static bool eval(signed long int l, mpq_srcptr q) + { return mpq_cmp_si(q, l, 1) >= 0; } + static bool eval(mpq_srcptr q, double d) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_cmp(q, temp) <= 0); + mpq_clear(temp); + return b; + } + static bool eval(double d, mpq_srcptr q) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_cmp(temp, q) <= 0); + mpq_clear(temp); + return b; + } + + static bool eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g) <= 0; } + + static bool eval(mpf_srcptr f, unsigned long int l) + { return mpf_cmp_ui(f, l) <= 0; } + static bool eval(unsigned long int l, mpf_srcptr f) + { return mpf_cmp_ui(f, l) >= 0; } + static bool eval(mpf_srcptr f, signed long int l) + { return mpf_cmp_si(f, l) <= 0; } + static bool eval(signed long int l, mpf_srcptr f) + { return mpf_cmp_si(f, l) >= 0; } + static bool eval(mpf_srcptr f, double d) + { return mpf_cmp_d(f, d) <= 0; } + static bool eval(double d, mpf_srcptr f) + { return mpf_cmp_d(f, d) >= 0; } +}; + +struct __gmp_binary_greater +{ + static bool eval(mpz_srcptr z, mpz_srcptr w) { return mpz_cmp(z, w) > 0; } + + static bool eval(mpz_srcptr z, unsigned long int l) + { return mpz_cmp_ui(z, l) > 0; } + static bool eval(unsigned long int l, mpz_srcptr z) + { return mpz_cmp_ui(z, l) < 0; } + static bool eval(mpz_srcptr z, signed long int l) + { return mpz_cmp_si(z, l) > 0; } + static bool eval(signed long int l, mpz_srcptr z) + { return mpz_cmp_si(z, l) < 0; } + static bool eval(mpz_srcptr z, double d) + { return mpz_cmp_d(z, d) > 0; } + static bool eval(double d, mpz_srcptr z) + { return mpz_cmp_d(z, d) < 0; } + + static bool eval(mpq_srcptr q, mpq_srcptr r) { return mpq_cmp(q, r) > 0; } + + static bool eval(mpq_srcptr q, unsigned long int l) + { return mpq_cmp_ui(q, l, 1) > 0; } + static bool eval(unsigned long int l, mpq_srcptr q) + { return mpq_cmp_ui(q, l, 1) < 0; } + static bool eval(mpq_srcptr q, signed long int l) + { return mpq_cmp_si(q, l, 1) > 0; } + static bool eval(signed long int l, mpq_srcptr q) + { return mpq_cmp_si(q, l, 1) < 0; } + static bool eval(mpq_srcptr q, double d) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_cmp(q, temp) > 0); + mpq_clear(temp); + return b; + } + static bool eval(double d, mpq_srcptr q) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_cmp(temp, q) > 0); + mpq_clear(temp); + return b; + } + + static bool eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g) > 0; } + + static bool eval(mpf_srcptr f, unsigned long int l) + { return mpf_cmp_ui(f, l) > 0; } + static bool eval(unsigned long int l, mpf_srcptr f) + { return mpf_cmp_ui(f, l) < 0; } + static bool eval(mpf_srcptr f, signed long int l) + { return mpf_cmp_si(f, l) > 0; } + static bool eval(signed long int l, mpf_srcptr f) + { return mpf_cmp_si(f, l) < 0; } + static bool eval(mpf_srcptr f, double d) + { return mpf_cmp_d(f, d) > 0; } + static bool eval(double d, mpf_srcptr f) + { return mpf_cmp_d(f, d) < 0; } +}; + +struct __gmp_binary_greater_equal +{ + static bool eval(mpz_srcptr z, mpz_srcptr w) { return mpz_cmp(z, w) >= 0; } + + static bool eval(mpz_srcptr z, unsigned long int l) + { return mpz_cmp_ui(z, l) >= 0; } + static bool eval(unsigned long int l, mpz_srcptr z) + { return mpz_cmp_ui(z, l) <= 0; } + static bool eval(mpz_srcptr z, signed long int l) + { return mpz_cmp_si(z, l) >= 0; } + static bool eval(signed long int l, mpz_srcptr z) + { return mpz_cmp_si(z, l) <= 0; } + static bool eval(mpz_srcptr z, double d) + { return mpz_cmp_d(z, d) >= 0; } + static bool eval(double d, mpz_srcptr z) + { return mpz_cmp_d(z, d) <= 0; } + + static bool eval(mpq_srcptr q, mpq_srcptr r) { return mpq_cmp(q, r) >= 0; } + + static bool eval(mpq_srcptr q, unsigned long int l) + { return mpq_cmp_ui(q, l, 1) >= 0; } + static bool eval(unsigned long int l, mpq_srcptr q) + { return mpq_cmp_ui(q, l, 1) <= 0; } + static bool eval(mpq_srcptr q, signed long int l) + { return mpq_cmp_si(q, l, 1) >= 0; } + static bool eval(signed long int l, mpq_srcptr q) + { return mpq_cmp_si(q, l, 1) <= 0; } + static bool eval(mpq_srcptr q, double d) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_cmp(q, temp) >= 0); + mpq_clear(temp); + return b; + } + static bool eval(double d, mpq_srcptr q) + { + bool b; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + b = (mpq_cmp(temp, q) >= 0); + mpq_clear(temp); + return b; + } + + static bool eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g) >= 0; } + + static bool eval(mpf_srcptr f, unsigned long int l) + { return mpf_cmp_ui(f, l) >= 0; } + static bool eval(unsigned long int l, mpf_srcptr f) + { return mpf_cmp_ui(f, l) <= 0; } + static bool eval(mpf_srcptr f, signed long int l) + { return mpf_cmp_si(f, l) >= 0; } + static bool eval(signed long int l, mpf_srcptr f) + { return mpf_cmp_si(f, l) <= 0; } + static bool eval(mpf_srcptr f, double d) + { return mpf_cmp_d(f, d) >= 0; } + static bool eval(double d, mpf_srcptr f) + { return mpf_cmp_d(f, d) <= 0; } +}; + +struct __gmp_unary_increment +{ + static void eval(mpz_ptr z) { mpz_add_ui(z, z, 1); } + static void eval(mpq_ptr q) + { mpz_add(mpq_numref(q), mpq_numref(q), mpq_denref(q)); } + static void eval(mpf_ptr f) { mpf_add_ui(f, f, 1); } +}; + +struct __gmp_unary_decrement +{ + static void eval(mpz_ptr z) { mpz_sub_ui(z, z, 1); } + static void eval(mpq_ptr q) + { mpz_sub(mpq_numref(q), mpq_numref(q), mpq_denref(q)); } + static void eval(mpf_ptr f) { mpf_sub_ui(f, f, 1); } +}; + +struct __gmp_abs_function +{ + static void eval(mpz_ptr z, mpz_srcptr w) { mpz_abs(z, w); } + static void eval(mpq_ptr q, mpq_srcptr r) { mpq_abs(q, r); } + static void eval(mpf_ptr f, mpf_srcptr g) { mpf_abs(f, g); } +}; + +struct __gmp_trunc_function +{ + static void eval(mpf_ptr f, mpf_srcptr g) { mpf_trunc(f, g); } +}; + +struct __gmp_floor_function +{ + static void eval(mpf_ptr f, mpf_srcptr g) { mpf_floor(f, g); } +}; + +struct __gmp_ceil_function +{ + static void eval(mpf_ptr f, mpf_srcptr g) { mpf_ceil(f, g); } +}; + +struct __gmp_sqrt_function +{ + static void eval(mpz_ptr z, mpz_srcptr w) { mpz_sqrt(z, w); } + static void eval(mpf_ptr f, mpf_srcptr g) { mpf_sqrt(f, g); } +}; + +struct __gmp_hypot_function +{ + static void eval(mpf_ptr f, mpf_srcptr g, mpf_srcptr h) + { + mpf_t temp; + mpf_init2(temp, mpf_get_prec(f)); + mpf_mul(temp, g, g); + mpf_mul(f, h, h); + mpf_add(f, f, temp); + mpf_sqrt(f, f); + mpf_clear(temp); + } + + static void eval(mpf_ptr f, mpf_srcptr g, unsigned long int l) + { + mpf_t temp; + mpf_init2(temp, mpf_get_prec(f)); + mpf_mul(temp, g, g); + mpf_set_ui(f, l); + mpf_mul(f, f, f); + mpf_add(f, f, temp); + mpf_sqrt(f, f); + mpf_clear(temp); + } + static void eval(mpf_ptr f, unsigned long int l, mpf_srcptr g) + { + mpf_t temp; + mpf_init2(temp, mpf_get_prec(f)); + mpf_mul(temp, g, g); + mpf_set_ui(f, l); + mpf_mul(f, f, f); + mpf_add(f, f, temp); + mpf_sqrt(f, f); + mpf_clear(temp); + } + static void eval(mpf_ptr f, mpf_srcptr g, signed long int l) + { + mpf_t temp; + mpf_init2(temp, mpf_get_prec(f)); + mpf_mul(temp, g, g); + mpf_set_si(f, l); + mpf_mul(f, f, f); + mpf_add(f, f, temp); + mpf_sqrt(f, f); + mpf_clear(temp); + } + static void eval(mpf_ptr f, signed long int l, mpf_srcptr g) + { + mpf_t temp; + mpf_init2(temp, mpf_get_prec(f)); + mpf_mul(temp, g, g); + mpf_set_si(f, l); + mpf_mul(f, f, f); + mpf_add(f, f, temp); + mpf_sqrt(f, f); + mpf_clear(temp); + } + static void eval(mpf_ptr f, mpf_srcptr g, double d) + { + mpf_t temp; + mpf_init2(temp, mpf_get_prec(f)); + mpf_mul(temp, g, g); + mpf_set_d(f, d); + mpf_mul(f, f, f); + mpf_add(f, f, temp); + mpf_sqrt(f, f); + mpf_clear(temp); + } + static void eval(mpf_ptr f, double d, mpf_srcptr g) + { + mpf_t temp; + mpf_init2(temp, mpf_get_prec(f)); + mpf_mul(temp, g, g); + mpf_set_d(f, d); + mpf_mul(f, f, f); + mpf_add(f, f, temp); + mpf_sqrt(f, f); + mpf_clear(temp); + } +}; + +struct __gmp_sgn_function +{ + static int eval(mpz_srcptr z) { return mpz_sgn(z); } + static int eval(mpq_srcptr q) { return mpq_sgn(q); } + static int eval(mpf_srcptr f) { return mpf_sgn(f); } +}; + +struct __gmp_cmp_function +{ + static int eval(mpz_srcptr z, mpz_srcptr w) { return mpz_cmp(z, w); } + + static int eval(mpz_srcptr z, unsigned long int l) + { return mpz_cmp_ui(z, l); } + static int eval(unsigned long int l, mpz_srcptr z) + { return -mpz_cmp_ui(z, l); } + static int eval(mpz_srcptr z, signed long int l) + { return mpz_cmp_si(z, l); } + static int eval(signed long int l, mpz_srcptr z) + { return -mpz_cmp_si(z, l); } + static int eval(mpz_srcptr z, double d) + { return mpz_cmp_d(z, d); } + static int eval(double d, mpz_srcptr z) + { return -mpz_cmp_d(z, d); } + + static int eval(mpq_srcptr q, mpq_srcptr r) { return mpq_cmp(q, r); } + + static int eval(mpq_srcptr q, unsigned long int l) + { return mpq_cmp_ui(q, l, 1); } + static int eval(unsigned long int l, mpq_srcptr q) + { return -mpq_cmp_ui(q, l, 1); } + static int eval(mpq_srcptr q, signed long int l) + { return mpq_cmp_si(q, l, 1); } + static int eval(signed long int l, mpq_srcptr q) + { return -mpq_cmp_si(q, l, 1); } + static int eval(mpq_srcptr q, double d) + { + int i; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + i = mpq_cmp(q, temp); + mpq_clear(temp); + return i; + } + static int eval(double d, mpq_srcptr q) + { + int i; + mpq_t temp; + mpq_init(temp); + mpq_set_d(temp, d); + i = mpq_cmp(temp, q); + mpq_clear(temp); + return i; + } + + static int eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g); } + + static int eval(mpf_srcptr f, unsigned long int l) + { return mpf_cmp_ui(f, l); } + static int eval(unsigned long int l, mpf_srcptr f) + { return -mpf_cmp_ui(f, l); } + static int eval(mpf_srcptr f, signed long int l) + { return mpf_cmp_si(f, l); } + static int eval(signed long int l, mpf_srcptr f) + { return -mpf_cmp_si(f, l); } + static int eval(mpf_srcptr f, double d) + { return mpf_cmp_d(f, d); } + static int eval(double d, mpf_srcptr f) + { return -mpf_cmp_d(f, d); } +}; + +struct __gmp_rand_function +{ + static void eval(mpz_ptr z, gmp_randstate_t s, unsigned long int l) + { mpz_urandomb(z, s, l); } + static void eval(mpz_ptr z, gmp_randstate_t s, mpz_srcptr w) + { mpz_urandomm(z, s, w); } + static void eval(mpf_ptr f, gmp_randstate_t s, mp_bitcnt_t prec) + { mpf_urandomb(f, s, prec); } +}; + + +/**************** Auxiliary classes ****************/ + +/* this is much the same as gmp_allocated_string in gmp-impl.h + since gmp-impl.h is not publicly available, I redefine it here + I use a different name to avoid possible clashes */ +extern "C" { +struct __gmp_alloc_cstring_c +{ + void (*free_func) (void *, size_t); +}; +} + +struct __gmp_alloc_cstring : __gmp_alloc_cstring_c +{ + char *str; + __gmp_alloc_cstring(char *s) { str = s; } + ~__gmp_alloc_cstring() + { + mp_get_memory_functions (NULL, NULL, &free_func); + (*free_func) (str, std::strlen(str)+1); + } +}; + +// general expression template class +template +class __gmp_expr; + + +// templates for resolving expression types +template +struct __gmp_resolve_ref +{ + typedef T ref_type; +}; + +template +struct __gmp_resolve_ref<__gmp_expr > +{ + typedef const __gmp_expr & ref_type; +}; + + +template +struct __gmp_resolve_expr; + +template <> +struct __gmp_resolve_expr +{ + typedef mpz_t value_type; + typedef mpz_ptr ptr_type; +}; + +template <> +struct __gmp_resolve_expr +{ + typedef mpq_t value_type; + typedef mpq_ptr ptr_type; +}; + +template <> +struct __gmp_resolve_expr +{ + typedef mpf_t value_type; + typedef mpf_ptr ptr_type; +}; + +template <> +struct __gmp_resolve_expr +{ + typedef mpq_t value_type; +}; + +template <> +struct __gmp_resolve_expr +{ + typedef mpq_t value_type; +}; + +template <> +struct __gmp_resolve_expr +{ + typedef mpf_t value_type; +}; + +template <> +struct __gmp_resolve_expr +{ + typedef mpf_t value_type; +}; + +template <> +struct __gmp_resolve_expr +{ + typedef mpf_t value_type; +}; + +template <> +struct __gmp_resolve_expr +{ + typedef mpf_t value_type; +}; + + + +template +struct __gmp_resolve_temp +{ + typedef __gmp_expr temp_type; +}; + +template +struct __gmp_resolve_temp +{ + typedef const __gmp_expr & temp_type; +}; + + +// classes for evaluating unary and binary expressions +template +struct __gmp_unary_expr +{ + const T &val; + + __gmp_unary_expr(const T &v) : val(v) { } +private: + __gmp_unary_expr(); +}; + +template +struct __gmp_binary_expr +{ + typename __gmp_resolve_ref::ref_type val1; + typename __gmp_resolve_ref::ref_type val2; + + __gmp_binary_expr(const T &v1, const U &v2) : val1(v1), val2(v2) { } +private: + __gmp_binary_expr(); +}; + + +// functions for evaluating expressions +template +void __gmp_set_expr(mpz_ptr, const __gmp_expr &); +template +void __gmp_set_expr(mpq_ptr, const __gmp_expr &); +template +void __gmp_set_expr(mpf_ptr, const __gmp_expr &); + + +/**************** Macros for in-class declarations ****************/ +/* This is just repetitive code that is easier to maintain if it's written + only once */ + +#define __GMPP_DECLARE_COMPOUND_OPERATOR(fun) \ + template \ + __gmp_expr & fun(const __gmp_expr &); + +#define __GMPN_DECLARE_COMPOUND_OPERATOR(fun) \ + __gmp_expr & fun(signed char); \ + __gmp_expr & fun(unsigned char); \ + __gmp_expr & fun(signed int); \ + __gmp_expr & fun(unsigned int); \ + __gmp_expr & fun(signed short int); \ + __gmp_expr & fun(unsigned short int); \ + __gmp_expr & fun(signed long int); \ + __gmp_expr & fun(unsigned long int); \ + __gmp_expr & fun(float); \ + __gmp_expr & fun(double); \ + __gmp_expr & fun(long double); + +#define __GMP_DECLARE_COMPOUND_OPERATOR(fun) \ +__GMPP_DECLARE_COMPOUND_OPERATOR(fun) \ +__GMPN_DECLARE_COMPOUND_OPERATOR(fun) + +#define __GMP_DECLARE_COMPOUND_OPERATOR_UI(fun) \ + __gmp_expr & fun(unsigned long int); + +#define __GMP_DECLARE_INCREMENT_OPERATOR(fun) \ + inline __gmp_expr & fun(); \ + inline __gmp_expr fun(int); + + +/**************** mpz_class -- wrapper for mpz_t ****************/ + +template <> +class __gmp_expr +{ +private: + typedef mpz_t value_type; + value_type mp; +public: + mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } + + // constructors and destructor + __gmp_expr() { mpz_init(mp); } + + __gmp_expr(const __gmp_expr &z) { mpz_init_set(mp, z.mp); } + template + __gmp_expr(const __gmp_expr &expr) + { mpz_init(mp); __gmp_set_expr(mp, expr); } + + __gmp_expr(signed char c) { mpz_init_set_si(mp, c); } + __gmp_expr(unsigned char c) { mpz_init_set_ui(mp, c); } + + __gmp_expr(signed int i) { mpz_init_set_si(mp, i); } + __gmp_expr(unsigned int i) { mpz_init_set_ui(mp, i); } + + __gmp_expr(signed short int s) { mpz_init_set_si(mp, s); } + __gmp_expr(unsigned short int s) { mpz_init_set_ui(mp, s); } + + __gmp_expr(signed long int l) { mpz_init_set_si(mp, l); } + __gmp_expr(unsigned long int l) { mpz_init_set_ui(mp, l); } + + __gmp_expr(float f) { mpz_init_set_d(mp, f); } + __gmp_expr(double d) { mpz_init_set_d(mp, d); } + // __gmp_expr(long double ld) { mpz_init_set_d(mp, ld); } + + explicit __gmp_expr(const char *s) + { + if (mpz_init_set_str (mp, s, 0) != 0) + { + mpz_clear (mp); + throw std::invalid_argument ("mpz_set_str"); + } + } + __gmp_expr(const char *s, int base) + { + if (mpz_init_set_str (mp, s, base) != 0) + { + mpz_clear (mp); + throw std::invalid_argument ("mpz_set_str"); + } + } + explicit __gmp_expr(const std::string &s) + { + if (mpz_init_set_str (mp, s.c_str(), 0) != 0) + { + mpz_clear (mp); + throw std::invalid_argument ("mpz_set_str"); + } + } + __gmp_expr(const std::string &s, int base) + { + if (mpz_init_set_str(mp, s.c_str(), base) != 0) + { + mpz_clear (mp); + throw std::invalid_argument ("mpz_set_str"); + } + } + + explicit __gmp_expr(mpz_srcptr z) { mpz_init_set(mp, z); } + + ~__gmp_expr() { mpz_clear(mp); } + + // assignment operators + __gmp_expr & operator=(const __gmp_expr &z) + { mpz_set(mp, z.mp); return *this; } + template + __gmp_expr & operator=(const __gmp_expr &expr) + { __gmp_set_expr(mp, expr); return *this; } + + __gmp_expr & operator=(signed char c) { mpz_set_si(mp, c); return *this; } + __gmp_expr & operator=(unsigned char c) { mpz_set_ui(mp, c); return *this; } + + __gmp_expr & operator=(signed int i) { mpz_set_si(mp, i); return *this; } + __gmp_expr & operator=(unsigned int i) { mpz_set_ui(mp, i); return *this; } + + __gmp_expr & operator=(signed short int s) + { mpz_set_si(mp, s); return *this; } + __gmp_expr & operator=(unsigned short int s) + { mpz_set_ui(mp, s); return *this; } + + __gmp_expr & operator=(signed long int l) + { mpz_set_si(mp, l); return *this; } + __gmp_expr & operator=(unsigned long int l) + { mpz_set_ui(mp, l); return *this; } + + __gmp_expr & operator=(float f) { mpz_set_d(mp, f); return *this; } + __gmp_expr & operator=(double d) { mpz_set_d(mp, d); return *this; } + // __gmp_expr & operator=(long double ld) + // { mpz_set_ld(mp, ld); return *this; } + + __gmp_expr & operator=(const char *s) + { + if (mpz_set_str (mp, s, 0) != 0) + throw std::invalid_argument ("mpz_set_str"); + return *this; + } + __gmp_expr & operator=(const std::string &s) + { + if (mpz_set_str(mp, s.c_str(), 0) != 0) + throw std::invalid_argument ("mpz_set_str"); + return *this; + } + + // string input/output functions + int set_str(const char *s, int base) + { return mpz_set_str(mp, s, base); } + int set_str(const std::string &s, int base) + { return mpz_set_str(mp, s.c_str(), base); } + std::string get_str(int base = 10) const + { + __gmp_alloc_cstring temp(mpz_get_str(0, base, mp)); + return std::string(temp.str); + } + + // conversion functions + mpz_srcptr __get_mp() const { return mp; } + mpz_ptr __get_mp() { return mp; } + mpz_srcptr get_mpz_t() const { return mp; } + mpz_ptr get_mpz_t() { return mp; } + + signed long int get_si() const { return mpz_get_si(mp); } + unsigned long int get_ui() const { return mpz_get_ui(mp); } + double get_d() const { return mpz_get_d(mp); } + + // bool fits_schar_p() const { return mpz_fits_schar_p(mp); } + // bool fits_uchar_p() const { return mpz_fits_uchar_p(mp); } + bool fits_sint_p() const { return mpz_fits_sint_p(mp); } + bool fits_uint_p() const { return mpz_fits_uint_p(mp); } + bool fits_sshort_p() const { return mpz_fits_sshort_p(mp); } + bool fits_ushort_p() const { return mpz_fits_ushort_p(mp); } + bool fits_slong_p() const { return mpz_fits_slong_p(mp); } + bool fits_ulong_p() const { return mpz_fits_ulong_p(mp); } + // bool fits_float_p() const { return mpz_fits_float_p(mp); } + // bool fits_double_p() const { return mpz_fits_double_p(mp); } + // bool fits_ldouble_p() const { return mpz_fits_ldouble_p(mp); } + + // member operators + __GMP_DECLARE_COMPOUND_OPERATOR(operator+=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator-=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator*=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator/=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator%=) + + __GMPP_DECLARE_COMPOUND_OPERATOR(operator&=) + __GMPP_DECLARE_COMPOUND_OPERATOR(operator|=) + __GMPP_DECLARE_COMPOUND_OPERATOR(operator^=) + + __GMP_DECLARE_COMPOUND_OPERATOR_UI(operator<<=) + __GMP_DECLARE_COMPOUND_OPERATOR_UI(operator>>=) + + __GMP_DECLARE_INCREMENT_OPERATOR(operator++) + __GMP_DECLARE_INCREMENT_OPERATOR(operator--) +}; + +typedef __gmp_expr mpz_class; + + +/**************** mpq_class -- wrapper for mpq_t ****************/ + +template <> +class __gmp_expr +{ +private: + typedef mpq_t value_type; + value_type mp; +public: + mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } + void canonicalize() { mpq_canonicalize(mp); } + + // constructors and destructor + __gmp_expr() { mpq_init(mp); } + + __gmp_expr(const __gmp_expr &q) { mpq_init(mp); mpq_set(mp, q.mp); } + template + __gmp_expr(const __gmp_expr &expr) + { mpq_init(mp); __gmp_set_expr(mp, expr); } + + __gmp_expr(signed char c) { mpq_init(mp); mpq_set_si(mp, c, 1); } + __gmp_expr(unsigned char c) { mpq_init(mp); mpq_set_ui(mp, c, 1); } + + __gmp_expr(signed int i) { mpq_init(mp); mpq_set_si(mp, i, 1); } + __gmp_expr(unsigned int i) { mpq_init(mp); mpq_set_ui(mp, i, 1); } + + __gmp_expr(signed short int s) { mpq_init(mp); mpq_set_si(mp, s, 1); } + __gmp_expr(unsigned short int s) { mpq_init(mp); mpq_set_ui(mp, s, 1); } + + __gmp_expr(signed long int l) { mpq_init(mp); mpq_set_si(mp, l, 1); } + __gmp_expr(unsigned long int l) { mpq_init(mp); mpq_set_ui(mp, l, 1); } + + __gmp_expr(float f) { mpq_init(mp); mpq_set_d(mp, f); } + __gmp_expr(double d) { mpq_init(mp); mpq_set_d(mp, d); } + // __gmp_expr(long double ld) { mpq_init(mp); mpq_set_ld(mp, ld); } + + explicit __gmp_expr(const char *s) + { + mpq_init (mp); + if (mpq_set_str (mp, s, 0) != 0) + { + mpq_clear (mp); + throw std::invalid_argument ("mpq_set_str"); + } + } + __gmp_expr(const char *s, int base) + { + mpq_init (mp); + if (mpq_set_str(mp, s, base) != 0) + { + mpq_clear (mp); + throw std::invalid_argument ("mpq_set_str"); + } + } + explicit __gmp_expr(const std::string &s) + { + mpq_init (mp); + if (mpq_set_str (mp, s.c_str(), 0) != 0) + { + mpq_clear (mp); + throw std::invalid_argument ("mpq_set_str"); + } + } + __gmp_expr(const std::string &s, int base) + { + mpq_init(mp); + if (mpq_set_str (mp, s.c_str(), base) != 0) + { + mpq_clear (mp); + throw std::invalid_argument ("mpq_set_str"); + } + } + explicit __gmp_expr(mpq_srcptr q) { mpq_init(mp); mpq_set(mp, q); } + + __gmp_expr(const mpz_class &num, const mpz_class &den) + { + mpq_init(mp); + mpz_set(mpq_numref(mp), num.get_mpz_t()); + mpz_set(mpq_denref(mp), den.get_mpz_t()); + } + + ~__gmp_expr() { mpq_clear(mp); } + + // assignment operators + __gmp_expr & operator=(const __gmp_expr &q) + { mpq_set(mp, q.mp); return *this; } + template + __gmp_expr & operator=(const __gmp_expr &expr) + { __gmp_set_expr(mp, expr); return *this; } + + __gmp_expr & operator=(signed char c) + { mpq_set_si(mp, c, 1); return *this; } + __gmp_expr & operator=(unsigned char c) + { mpq_set_ui(mp, c, 1); return *this; } + + __gmp_expr & operator=(signed int i) { mpq_set_si(mp, i, 1); return *this; } + __gmp_expr & operator=(unsigned int i) + { mpq_set_ui(mp, i, 1); return *this; } + + __gmp_expr & operator=(signed short int s) + { mpq_set_si(mp, s, 1); return *this; } + __gmp_expr & operator=(unsigned short int s) + { mpq_set_ui(mp, s, 1); return *this; } + + __gmp_expr & operator=(signed long int l) + { mpq_set_si(mp, l, 1); return *this; } + __gmp_expr & operator=(unsigned long int l) + { mpq_set_ui(mp, l, 1); return *this; } + + __gmp_expr & operator=(float f) { mpq_set_d(mp, f); return *this; } + __gmp_expr & operator=(double d) { mpq_set_d(mp, d); return *this; } + // __gmp_expr & operator=(long double ld) + // { mpq_set_ld(mp, ld); return *this; } + + __gmp_expr & operator=(const char *s) + { + if (mpq_set_str (mp, s, 0) != 0) + throw std::invalid_argument ("mpq_set_str"); + return *this; + } + __gmp_expr & operator=(const std::string &s) + { + if (mpq_set_str(mp, s.c_str(), 0) != 0) + throw std::invalid_argument ("mpq_set_str"); + return *this; + } + + // string input/output functions + int set_str(const char *s, int base) + { return mpq_set_str(mp, s, base); } + int set_str(const std::string &s, int base) + { return mpq_set_str(mp, s.c_str(), base); } + std::string get_str(int base = 10) const + { + __gmp_alloc_cstring temp(mpq_get_str(0, base, mp)); + return std::string(temp.str); + } + + // conversion functions + + // casting a reference to an mpz_t to mpz_class & is a dirty hack, + // but works because the internal representation of mpz_class is + // exactly an mpz_t + const mpz_class & get_num() const + { return reinterpret_cast(*mpq_numref(mp)); } + mpz_class & get_num() + { return reinterpret_cast(*mpq_numref(mp)); } + const mpz_class & get_den() const + { return reinterpret_cast(*mpq_denref(mp)); } + mpz_class & get_den() + { return reinterpret_cast(*mpq_denref(mp)); } + + mpq_srcptr __get_mp() const { return mp; } + mpq_ptr __get_mp() { return mp; } + mpq_srcptr get_mpq_t() const { return mp; } + mpq_ptr get_mpq_t() { return mp; } + + mpz_srcptr get_num_mpz_t() const { return mpq_numref(mp); } + mpz_ptr get_num_mpz_t() { return mpq_numref(mp); } + mpz_srcptr get_den_mpz_t() const { return mpq_denref(mp); } + mpz_ptr get_den_mpz_t() { return mpq_denref(mp); } + + double get_d() const { return mpq_get_d(mp); } + + // compound assignments + __GMP_DECLARE_COMPOUND_OPERATOR(operator+=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator-=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator*=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator/=) + + __GMP_DECLARE_COMPOUND_OPERATOR_UI(operator<<=) + __GMP_DECLARE_COMPOUND_OPERATOR_UI(operator>>=) + + __GMP_DECLARE_INCREMENT_OPERATOR(operator++) + __GMP_DECLARE_INCREMENT_OPERATOR(operator--) +}; + +typedef __gmp_expr mpq_class; + + +/**************** mpf_class -- wrapper for mpf_t ****************/ + +template <> +class __gmp_expr +{ +private: + typedef mpf_t value_type; + value_type mp; +public: + mp_bitcnt_t get_prec() const { return mpf_get_prec(mp); } + + void set_prec(mp_bitcnt_t prec) { mpf_set_prec(mp, prec); } + void set_prec_raw(mp_bitcnt_t prec) { mpf_set_prec_raw(mp, prec); } + + // constructors and destructor + __gmp_expr() { mpf_init(mp); } + + __gmp_expr(const __gmp_expr &f) + { mpf_init2(mp, f.get_prec()); mpf_set(mp, f.mp); } + __gmp_expr(const __gmp_expr &f, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set(mp, f.mp); } + template + __gmp_expr(const __gmp_expr &expr) + { mpf_init2(mp, expr.get_prec()); __gmp_set_expr(mp, expr); } + template + __gmp_expr(const __gmp_expr &expr, mp_bitcnt_t prec) + { mpf_init2(mp, prec); __gmp_set_expr(mp, expr); } + + __gmp_expr(signed char c) { mpf_init_set_si(mp, c); } + __gmp_expr(signed char c, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set_si(mp, c); } + __gmp_expr(unsigned char c) { mpf_init_set_ui(mp, c); } + __gmp_expr(unsigned char c, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set_ui(mp, c); } + + __gmp_expr(signed int i) { mpf_init_set_si(mp, i); } + __gmp_expr(signed int i, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set_si(mp, i); } + __gmp_expr(unsigned int i) { mpf_init_set_ui(mp, i); } + __gmp_expr(unsigned int i, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set_ui(mp, i); } + + __gmp_expr(signed short int s) { mpf_init_set_si(mp, s); } + __gmp_expr(signed short int s, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set_si(mp, s); } + __gmp_expr(unsigned short int s) { mpf_init_set_ui(mp, s); } + __gmp_expr(unsigned short int s, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set_ui(mp, s); } + + __gmp_expr(signed long int l) { mpf_init_set_si(mp, l); } + __gmp_expr(signed long int l, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set_si(mp, l); } + __gmp_expr(unsigned long int l) { mpf_init_set_ui(mp, l); } + __gmp_expr(unsigned long int l, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set_ui(mp, l); } + + __gmp_expr(float f) { mpf_init_set_d(mp, f); } + __gmp_expr(float f, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set_d(mp, f); } + __gmp_expr(double d) { mpf_init_set_d(mp, d); } + __gmp_expr(double d, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set_d(mp, d); } + // __gmp_expr(long double ld) { mpf_init_set_d(mp, ld); } + // __gmp_expr(long double ld, mp_bitcnt_t prec) + // { mpf_init2(mp, prec); mpf_set_d(mp, ld); } + + explicit __gmp_expr(const char *s) + { + if (mpf_init_set_str (mp, s, 0) != 0) + { + mpf_clear (mp); + throw std::invalid_argument ("mpf_set_str"); + } + } + __gmp_expr(const char *s, mp_bitcnt_t prec, int base = 0) + { + mpf_init2(mp, prec); + if (mpf_set_str(mp, s, base) != 0) + { + mpf_clear (mp); + throw std::invalid_argument ("mpf_set_str"); + } + } + explicit __gmp_expr(const std::string &s) + { + if (mpf_init_set_str(mp, s.c_str(), 0) != 0) + { + mpf_clear (mp); + throw std::invalid_argument ("mpf_set_str"); + } + } + __gmp_expr(const std::string &s, mp_bitcnt_t prec, int base = 0) + { + mpf_init2(mp, prec); + if (mpf_set_str(mp, s.c_str(), base) != 0) + { + mpf_clear (mp); + throw std::invalid_argument ("mpf_set_str"); + } + } + + explicit __gmp_expr(mpf_srcptr f) + { mpf_init2(mp, mpf_get_prec(f)); mpf_set(mp, f); } + __gmp_expr(mpf_srcptr f, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set(mp, f); } + + ~__gmp_expr() { mpf_clear(mp); } + + // assignment operators + __gmp_expr & operator=(const __gmp_expr &f) + { mpf_set(mp, f.mp); return *this; } + template + __gmp_expr & operator=(const __gmp_expr &expr) + { __gmp_set_expr(mp, expr); return *this; } + + __gmp_expr & operator=(signed char c) { mpf_set_si(mp, c); return *this; } + __gmp_expr & operator=(unsigned char c) { mpf_set_ui(mp, c); return *this; } + + __gmp_expr & operator=(signed int i) { mpf_set_si(mp, i); return *this; } + __gmp_expr & operator=(unsigned int i) { mpf_set_ui(mp, i); return *this; } + + __gmp_expr & operator=(signed short int s) + { mpf_set_si(mp, s); return *this; } + __gmp_expr & operator=(unsigned short int s) + { mpf_set_ui(mp, s); return *this; } + + __gmp_expr & operator=(signed long int l) + { mpf_set_si(mp, l); return *this; } + __gmp_expr & operator=(unsigned long int l) + { mpf_set_ui(mp, l); return *this; } + + __gmp_expr & operator=(float f) { mpf_set_d(mp, f); return *this; } + __gmp_expr & operator=(double d) { mpf_set_d(mp, d); return *this; } + // __gmp_expr & operator=(long double ld) + // { mpf_set_ld(mp, ld); return *this; } + + __gmp_expr & operator=(const char *s) + { + if (mpf_set_str (mp, s, 0) != 0) + throw std::invalid_argument ("mpf_set_str"); + return *this; + } + __gmp_expr & operator=(const std::string &s) + { + if (mpf_set_str(mp, s.c_str(), 0) != 0) + throw std::invalid_argument ("mpf_set_str"); + return *this; + } + + // string input/output functions + int set_str(const char *s, int base) + { return mpf_set_str(mp, s, base); } + int set_str(const std::string &s, int base) + { return mpf_set_str(mp, s.c_str(), base); } + std::string get_str(mp_exp_t &expo, int base = 10, size_t size = 0) const + { + __gmp_alloc_cstring temp(mpf_get_str(0, &expo, base, size, mp)); + return std::string(temp.str); + } + + // conversion functions + mpf_srcptr __get_mp() const { return mp; } + mpf_ptr __get_mp() { return mp; } + mpf_srcptr get_mpf_t() const { return mp; } + mpf_ptr get_mpf_t() { return mp; } + + signed long int get_si() const { return mpf_get_si(mp); } + unsigned long int get_ui() const { return mpf_get_ui(mp); } + double get_d() const { return mpf_get_d(mp); } + + // bool fits_schar_p() const { return mpf_fits_schar_p(mp); } + // bool fits_uchar_p() const { return mpf_fits_uchar_p(mp); } + bool fits_sint_p() const { return mpf_fits_sint_p(mp); } + bool fits_uint_p() const { return mpf_fits_uint_p(mp); } + bool fits_sshort_p() const { return mpf_fits_sshort_p(mp); } + bool fits_ushort_p() const { return mpf_fits_ushort_p(mp); } + bool fits_slong_p() const { return mpf_fits_slong_p(mp); } + bool fits_ulong_p() const { return mpf_fits_ulong_p(mp); } + // bool fits_float_p() const { return mpf_fits_float_p(mp); } + // bool fits_double_p() const { return mpf_fits_double_p(mp); } + // bool fits_ldouble_p() const { return mpf_fits_ldouble_p(mp); } + + // compound assignments + __GMP_DECLARE_COMPOUND_OPERATOR(operator+=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator-=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator*=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator/=) + + __GMP_DECLARE_COMPOUND_OPERATOR_UI(operator<<=) + __GMP_DECLARE_COMPOUND_OPERATOR_UI(operator>>=) + + __GMP_DECLARE_INCREMENT_OPERATOR(operator++) + __GMP_DECLARE_INCREMENT_OPERATOR(operator--) +}; + +typedef __gmp_expr mpf_class; + + + +/**************** I/O operators ****************/ + +// these should (and will) be provided separately + +template +inline std::ostream & operator<< +(std::ostream &o, const __gmp_expr &expr) +{ + return o << expr.__get_mp(); +} + +template +inline std::ostream & operator<< +(std::ostream &o, const __gmp_expr &expr) +{ + __gmp_expr temp(expr); + return o << temp.__get_mp(); +} + + +template +inline std::istream & operator>>(std::istream &i, __gmp_expr &expr) +{ + return i >> expr.__get_mp(); +} + +inline std::istream & operator>>(std::istream &i, mpq_class &q) +{ + i >> q.get_mpq_t(); + // q.canonicalize(); // you might want to uncomment this + return i; +} + + +/**************** Functions for type conversion ****************/ + +template <> +inline void __gmp_set_expr(mpz_ptr z, const mpz_class &w) +{ + mpz_set(z, w.get_mpz_t()); +} + +template +inline void __gmp_set_expr(mpz_ptr z, const __gmp_expr &expr) +{ + expr.eval(z); +} + +template <> +inline void __gmp_set_expr(mpz_ptr z, const mpq_class &q) +{ + mpz_set_q(z, q.get_mpq_t()); +} + +template +inline void __gmp_set_expr(mpz_ptr z, const __gmp_expr &expr) +{ + mpq_class temp(expr); + mpz_set_q(z, temp.get_mpq_t()); +} + +template +inline void __gmp_set_expr(mpz_ptr z, const mpf_class &f) +{ + mpz_set_f(z, f.get_mpf_t()); +} + +template +inline void __gmp_set_expr(mpz_ptr z, const __gmp_expr &expr) +{ + mpf_class temp(expr); + mpz_set_f(z, temp.get_mpf_t()); +} + +template <> +inline void __gmp_set_expr(mpq_ptr q, const mpz_class &z) +{ + mpq_set_z(q, z.get_mpz_t()); +} + +template +inline void __gmp_set_expr(mpq_ptr q, const __gmp_expr &expr) +{ + mpz_class temp(expr); + mpq_set_z(q, temp.get_mpz_t()); +} + +template <> +inline void __gmp_set_expr(mpq_ptr q, const mpq_class &r) +{ + mpq_set(q, r.get_mpq_t()); +} + +template +inline void __gmp_set_expr(mpq_ptr q, const __gmp_expr &expr) +{ + expr.eval(q); +} + +template +inline void __gmp_set_expr(mpq_ptr q, const mpf_class &f) +{ + mpq_set_f(q, f.get_mpf_t()); +} + +template +inline void __gmp_set_expr(mpq_ptr q, const __gmp_expr &expr) +{ + mpf_class temp(expr); + mpq_set_f(q, temp.get_mpf_t()); +} + +template +inline void __gmp_set_expr(mpf_ptr f, const mpz_class &z) +{ + mpf_set_z(f, z.get_mpz_t()); +} + +template +inline void __gmp_set_expr(mpf_ptr f, const __gmp_expr &expr) +{ + mpz_class temp(expr); + mpf_set_z(f, temp.get_mpz_t()); +} + +template +inline void __gmp_set_expr(mpf_ptr f, const mpq_class &q) +{ + mpf_set_q(f, q.get_mpq_t()); +} + +template +inline void __gmp_set_expr(mpf_ptr f, const __gmp_expr &expr) +{ + mpq_class temp(expr); + mpf_set_q(f, temp.get_mpq_t()); +} + +template <> +inline void __gmp_set_expr(mpf_ptr f, const mpf_class &g) +{ + mpf_set(f, g.get_mpf_t()); +} + +template +inline void __gmp_set_expr(mpf_ptr f, const __gmp_expr &expr) +{ + expr.eval(f, mpf_get_prec(f)); +} + + +/**************** Specializations of __gmp_expr ****************/ +/* The eval() method of __gmp_expr evaluates the corresponding + expression and assigns the result to its argument, which is either an + mpz_t, mpq_t, or mpf_t as specified by the T argument. + Compound expressions are evaluated recursively (temporaries are created + to hold intermediate values), while for simple expressions the eval() + method of the appropriate function object (available as the Op argument + of either __gmp_unary_expr or __gmp_binary_expr) is + called. */ + + +/**************** Unary expressions ****************/ +/* cases: + - simple: argument is mp*_class, that is, __gmp_expr + - compound: argument is __gmp_expr (with U not equal to T) */ + + +// simple expressions + +template +class __gmp_expr, Op> > +{ +private: + typedef __gmp_expr val_type; + + __gmp_unary_expr expr; +public: + __gmp_expr(const val_type &val) : expr(val) { } + void eval(typename __gmp_resolve_expr::ptr_type p, + unsigned long int = 0) const + { Op::eval(p, expr.val.__get_mp()); } + const val_type & get_val() const { return expr.val; } + unsigned long int get_prec() const { return expr.val.get_prec(); } +}; + + +// compound expressions + +template +class __gmp_expr, Op> > +{ +private: + typedef __gmp_expr val_type; + + __gmp_unary_expr expr; +public: + __gmp_expr(const val_type &val) : expr(val) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { __gmp_expr temp(expr.val); Op::eval(p, temp.__get_mp()); } + void eval(typename __gmp_resolve_expr::ptr_type p, + mp_bitcnt_t prec) const + { __gmp_expr temp(expr.val, prec); Op::eval(p, temp.__get_mp()); } + const val_type & get_val() const { return expr.val; } + unsigned long int get_prec() const { return expr.val.get_prec(); } +}; + + +/**************** Binary expressions ****************/ +/* simple: + - arguments are both mp*_class + - one argument is mp*_class, one is a built-in type + compound: + - one is mp*_class, one is __gmp_expr + - one is __gmp_expr, one is built-in + - both arguments are __gmp_expr<...> */ + + +// simple expressions + +template +class __gmp_expr +, __gmp_expr, Op> > +{ +private: + typedef __gmp_expr val1_type; + typedef __gmp_expr val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p, + unsigned long int = 0) const + { Op::eval(p, expr.val1.__get_mp(), expr.val2.__get_mp()); } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + unsigned long int get_prec() const + { + mp_bitcnt_t prec1 = expr.val1.get_prec(), + prec2 = expr.val2.get_prec(); + return (prec1 > prec2) ? prec1 : prec2; + } +}; + + +// simple expressions, T is a built-in numerical type + +template +class __gmp_expr, U, Op> > +{ +private: + typedef __gmp_expr val1_type; + typedef U val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p, + unsigned long int = 0) const + { Op::eval(p, expr.val1.__get_mp(), expr.val2); } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + unsigned long int get_prec() const { return expr.val1.get_prec(); } +}; + +template +class __gmp_expr, Op> > +{ +private: + typedef U val1_type; + typedef __gmp_expr val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p, + unsigned long int = 0) const + { Op::eval(p, expr.val1, expr.val2.__get_mp()); } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + unsigned long int get_prec() const { return expr.val2.get_prec(); } +}; + + +// compound expressions, one argument is a subexpression + +template +class __gmp_expr +, __gmp_expr, Op> > +{ +private: + typedef __gmp_expr val1_type; + typedef __gmp_expr val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { + __gmp_expr temp(expr.val2); + Op::eval(p, expr.val1.__get_mp(), temp.__get_mp()); + } + void eval(typename __gmp_resolve_expr::ptr_type p, + mp_bitcnt_t prec) const + { + __gmp_expr temp(expr.val2, prec); + Op::eval(p, expr.val1.__get_mp(), temp.__get_mp()); + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + unsigned long int get_prec() const + { + mp_bitcnt_t prec1 = expr.val1.get_prec(), + prec2 = expr.val2.get_prec(); + return (prec1 > prec2) ? prec1 : prec2; + } +}; + +template +class __gmp_expr +, __gmp_expr, Op> > +{ +private: + typedef __gmp_expr val1_type; + typedef __gmp_expr val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { + __gmp_expr temp(expr.val1); + Op::eval(p, temp.__get_mp(), expr.val2.__get_mp()); + } + void eval(typename __gmp_resolve_expr::ptr_type p, + mp_bitcnt_t prec) const + { + __gmp_expr temp(expr.val1, prec); + Op::eval(p, temp.__get_mp(), expr.val2.__get_mp()); + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + unsigned long int get_prec() const + { + mp_bitcnt_t prec1 = expr.val1.get_prec(), + prec2 = expr.val2.get_prec(); + return (prec1 > prec2) ? prec1 : prec2; + } +}; + +template +class __gmp_expr +, __gmp_expr, Op> > +{ +private: + typedef __gmp_expr val1_type; + typedef __gmp_expr val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { + __gmp_expr temp(expr.val2); + Op::eval(p, expr.val1.__get_mp(), temp.__get_mp()); + } + void eval(typename __gmp_resolve_expr::ptr_type p, + mp_bitcnt_t prec) const + { + __gmp_expr temp(expr.val2, prec); + Op::eval(p, expr.val1.__get_mp(), temp.__get_mp()); + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + unsigned long int get_prec() const + { + mp_bitcnt_t prec1 = expr.val1.get_prec(), + prec2 = expr.val2.get_prec(); + return (prec1 > prec2) ? prec1 : prec2; + } +}; + +template +class __gmp_expr +, __gmp_expr, Op> > +{ +private: + typedef __gmp_expr val1_type; + typedef __gmp_expr val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { + __gmp_expr temp(expr.val1); + Op::eval(p, temp.__get_mp(), expr.val2.__get_mp()); + } + void eval(typename __gmp_resolve_expr::ptr_type p, + mp_bitcnt_t prec) const + { + __gmp_expr temp(expr.val1, prec); + Op::eval(p, temp.__get_mp(), expr.val2.__get_mp()); + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + unsigned long int get_prec() const + { + mp_bitcnt_t prec1 = expr.val1.get_prec(), + prec2 = expr.val2.get_prec(); + return (prec1 > prec2) ? prec1 : prec2; + } +}; + + +// one argument is a subexpression, one is a built-in + +template +class __gmp_expr, V, Op> > +{ +private: + typedef __gmp_expr val1_type; + typedef V val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { + __gmp_expr temp(expr.val1); + Op::eval(p, temp.__get_mp(), expr.val2); + } + void eval(typename __gmp_resolve_expr::ptr_type p, + mp_bitcnt_t prec) const + { + __gmp_expr temp(expr.val1, prec); + Op::eval(p, temp.__get_mp(), expr.val2); + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + unsigned long int get_prec() const { return expr.val1.get_prec(); } +}; + +template +class __gmp_expr, Op> > +{ +private: + typedef U val1_type; + typedef __gmp_expr val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { + __gmp_expr temp(expr.val2); + Op::eval(p, expr.val1, temp.__get_mp()); + } + void eval(typename __gmp_resolve_expr::ptr_type p, + mp_bitcnt_t prec) const + { + __gmp_expr temp(expr.val2, prec); + Op::eval(p, expr.val1, temp.__get_mp()); + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + unsigned long int get_prec() const { return expr.val2.get_prec(); } +}; + + +// both arguments are subexpressions + +template +class __gmp_expr +, __gmp_expr, Op> > +{ +private: + typedef __gmp_expr val1_type; + typedef __gmp_expr val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { + __gmp_expr temp1(expr.val1), temp2(expr.val2); + Op::eval(p, temp1.__get_mp(), temp2.__get_mp()); + } + void eval(typename __gmp_resolve_expr::ptr_type p, + mp_bitcnt_t prec) const + { + __gmp_expr temp1(expr.val1, prec), temp2(expr.val2, prec); + Op::eval(p, temp1.__get_mp(), temp2.__get_mp()); + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + unsigned long int get_prec() const + { + mp_bitcnt_t prec1 = expr.val1.get_prec(), + prec2 = expr.val2.get_prec(); + return (prec1 > prec2) ? prec1 : prec2; + } +}; + +template +class __gmp_expr +, __gmp_expr, Op> > +{ +private: + typedef __gmp_expr val1_type; + typedef __gmp_expr val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { + __gmp_expr temp1(expr.val1), temp2(expr.val2); + Op::eval(p, temp1.__get_mp(), temp2.__get_mp()); + } + void eval(typename __gmp_resolve_expr::ptr_type p, + mp_bitcnt_t prec) const + { + __gmp_expr temp1(expr.val1, prec), temp2(expr.val2, prec); + Op::eval(p, temp1.__get_mp(), temp2.__get_mp()); + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + unsigned long int get_prec() const + { + mp_bitcnt_t prec1 = expr.val1.get_prec(), + prec2 = expr.val2.get_prec(); + return (prec1 > prec2) ? prec1 : prec2; + } +}; + +template +class __gmp_expr +, __gmp_expr, Op> > +{ +private: + typedef __gmp_expr val1_type; + typedef __gmp_expr val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { + __gmp_expr temp1(expr.val1), temp2(expr.val2); + Op::eval(p, temp1.__get_mp(), temp2.__get_mp()); + } + void eval(typename __gmp_resolve_expr::ptr_type p, + mp_bitcnt_t prec) const + { + __gmp_expr temp1(expr.val1, prec), temp2(expr.val2, prec); + Op::eval(p, temp1.__get_mp(), temp2.__get_mp()); + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + unsigned long int get_prec() const + { + mp_bitcnt_t prec1 = expr.val1.get_prec(), + prec2 = expr.val2.get_prec(); + return (prec1 > prec2) ? prec1 : prec2; + } +}; + + +/**************** Special cases ****************/ + +/* Some operations (i.e., add and subtract) with mixed mpz/mpq arguments + can be done directly without first converting the mpz to mpq. + Appropriate specializations of __gmp_expr are required. */ + + +#define __GMPZQ_DEFINE_EXPR(eval_fun) \ + \ +template <> \ +class __gmp_expr > \ +{ \ +private: \ + typedef mpz_class val1_type; \ + typedef mpq_class val2_type; \ + \ + __gmp_binary_expr expr; \ +public: \ + __gmp_expr(const val1_type &val1, const val2_type &val2) \ + : expr(val1, val2) { } \ + void eval(mpq_ptr q) const \ + { eval_fun::eval(q, expr.val1.get_mpz_t(), expr.val2.get_mpq_t()); } \ + const val1_type & get_val1() const { return expr.val1; } \ + const val2_type & get_val2() const { return expr.val2; } \ + unsigned long int get_prec() const { return mpf_get_default_prec(); } \ +}; \ + \ +template <> \ +class __gmp_expr > \ +{ \ +private: \ + typedef mpq_class val1_type; \ + typedef mpz_class val2_type; \ + \ + __gmp_binary_expr expr; \ +public: \ + __gmp_expr(const val1_type &val1, const val2_type &val2) \ + : expr(val1, val2) { } \ + void eval(mpq_ptr q) const \ + { eval_fun::eval(q, expr.val1.get_mpq_t(), expr.val2.get_mpz_t()); } \ + const val1_type & get_val1() const { return expr.val1; } \ + const val2_type & get_val2() const { return expr.val2; } \ + unsigned long int get_prec() const { return mpf_get_default_prec(); } \ +}; \ + \ +template \ +class __gmp_expr \ +, eval_fun> > \ +{ \ +private: \ + typedef mpz_class val1_type; \ + typedef __gmp_expr val2_type; \ + \ + __gmp_binary_expr expr; \ +public: \ + __gmp_expr(const val1_type &val1, const val2_type &val2) \ + : expr(val1, val2) { } \ + void eval(mpq_ptr q) const \ + { \ + mpq_class temp(expr.val2); \ + eval_fun::eval(q, expr.val1.get_mpz_t(), temp.get_mpq_t()); \ + } \ + const val1_type & get_val1() const { return expr.val1; } \ + const val2_type & get_val2() const { return expr.val2; } \ + unsigned long int get_prec() const { return mpf_get_default_prec(); } \ +}; \ + \ +template \ +class __gmp_expr \ +, eval_fun> > \ +{ \ +private: \ + typedef mpq_class val1_type; \ + typedef __gmp_expr val2_type; \ + \ + __gmp_binary_expr expr; \ +public: \ + __gmp_expr(const val1_type &val1, const val2_type &val2) \ + : expr(val1, val2) { } \ + void eval(mpq_ptr q) const \ + { \ + mpz_class temp(expr.val2); \ + eval_fun::eval(q, expr.val1.get_mpq_t(), temp.get_mpz_t()); \ + } \ + const val1_type & get_val1() const { return expr.val1; } \ + const val2_type & get_val2() const { return expr.val2; } \ + unsigned long int get_prec() const { return mpf_get_default_prec(); } \ +}; \ + \ +template \ +class __gmp_expr \ +, mpq_class, eval_fun> > \ +{ \ +private: \ + typedef __gmp_expr val1_type; \ + typedef mpq_class val2_type; \ + \ + __gmp_binary_expr expr; \ +public: \ + __gmp_expr(const val1_type &val1, const val2_type &val2) \ + : expr(val1, val2) { } \ + void eval(mpq_ptr q) const \ + { \ + mpz_class temp(expr.val1); \ + eval_fun::eval(q, temp.get_mpz_t(), expr.val2.get_mpq_t()); \ + } \ + const val1_type & get_val1() const { return expr.val1; } \ + const val2_type & get_val2() const { return expr.val2; } \ + unsigned long int get_prec() const { return mpf_get_default_prec(); } \ +}; \ + \ +template \ +class __gmp_expr \ +, mpz_class, eval_fun> > \ +{ \ +private: \ + typedef __gmp_expr val1_type; \ + typedef mpz_class val2_type; \ + \ + __gmp_binary_expr expr; \ +public: \ + __gmp_expr(const val1_type &val1, const val2_type &val2) \ + : expr(val1, val2) { } \ + void eval(mpq_ptr q) const \ + { \ + mpq_class temp(expr.val1); \ + eval_fun::eval(q, temp.get_mpq_t(), expr.val2.get_mpz_t()); \ + } \ + const val1_type & get_val1() const { return expr.val1; } \ + const val2_type & get_val2() const { return expr.val2; } \ + unsigned long int get_prec() const { return mpf_get_default_prec(); } \ +}; \ + \ +template \ +class __gmp_expr, __gmp_expr, eval_fun> > \ +{ \ +private: \ + typedef __gmp_expr val1_type; \ + typedef __gmp_expr val2_type; \ + \ + __gmp_binary_expr expr; \ +public: \ + __gmp_expr(const val1_type &val1, const val2_type &val2) \ + : expr(val1, val2) { } \ + void eval(mpq_ptr q) const \ + { \ + mpz_class temp1(expr.val1); \ + mpq_class temp2(expr.val2); \ + eval_fun::eval(q, temp1.get_mpz_t(), temp2.get_mpq_t()); \ + } \ + const val1_type & get_val1() const { return expr.val1; } \ + const val2_type & get_val2() const { return expr.val2; } \ + unsigned long int get_prec() const { return mpf_get_default_prec(); } \ +}; \ + \ +template \ +class __gmp_expr, __gmp_expr, eval_fun> > \ +{ \ +private: \ + typedef __gmp_expr val1_type; \ + typedef __gmp_expr val2_type; \ + \ + __gmp_binary_expr expr; \ +public: \ + __gmp_expr(const val1_type &val1, const val2_type &val2) \ + : expr(val1, val2) { } \ + void eval(mpq_ptr q) const \ + { \ + mpq_class temp1(expr.val1); \ + mpz_class temp2(expr.val2); \ + eval_fun::eval(q, temp1.get_mpq_t(), temp2.get_mpz_t()); \ + } \ + const val1_type & get_val1() const { return expr.val1; } \ + const val2_type & get_val2() const { return expr.val2; } \ + unsigned long int get_prec() const { return mpf_get_default_prec(); } \ +}; + + +__GMPZQ_DEFINE_EXPR(__gmp_binary_plus) +__GMPZQ_DEFINE_EXPR(__gmp_binary_minus) + +/**************** Macros for defining functions ****************/ +/* Results of operators and functions are instances of __gmp_expr. + T determines the numerical type of the expression: it can be either + mpz_t, mpq_t, or mpf_t. When the arguments of a binary + expression have different numerical types, __gmp_resolve_expr is used + to determine the "larger" type. + U is either __gmp_unary_expr or __gmp_binary_expr, + where V and W are the arguments' types -- they can in turn be + expressions, thus allowing to build compound expressions to any + degree of complexity. + Op is a function object that must have an eval() method accepting + appropriate arguments. + Actual evaluation of a __gmp_expr object is done when it gets + assigned to an mp*_class ("lazy" evaluation): this is done by calling + its eval() method. */ + + +// non-member unary operators and functions + +#define __GMP_DEFINE_UNARY_FUNCTION(fun, eval_fun) \ + \ +template \ +inline __gmp_expr, eval_fun> > \ +fun(const __gmp_expr &expr) \ +{ \ + return __gmp_expr, eval_fun> >(expr); \ +} + +#define __GMP_DEFINE_UNARY_TYPE_FUNCTION(type, fun, eval_fun) \ + \ +template \ +inline type fun(const __gmp_expr &expr) \ +{ \ + typename __gmp_resolve_temp::temp_type temp(expr); \ + return eval_fun::eval(temp.__get_mp()); \ +} + + +// non-member binary operators and functions + +#define __GMPP_DEFINE_BINARY_FUNCTION(fun, eval_fun) \ + \ +template \ +inline __gmp_expr::value_type, \ +__gmp_binary_expr<__gmp_expr, __gmp_expr, eval_fun> > \ +fun(const __gmp_expr &expr1, const __gmp_expr &expr2) \ +{ \ + return __gmp_expr::value_type, \ + __gmp_binary_expr<__gmp_expr, __gmp_expr, eval_fun> > \ + (expr1, expr2); \ +} + +#define __GMPNN_DEFINE_BINARY_FUNCTION(fun, eval_fun, type, bigtype) \ + \ +template \ +inline __gmp_expr \ +, bigtype, eval_fun> > \ +fun(const __gmp_expr &expr, type t) \ +{ \ + return __gmp_expr \ + , bigtype, eval_fun> >(expr, t); \ +} \ + \ +template \ +inline __gmp_expr \ +, eval_fun> > \ +fun(type t, const __gmp_expr &expr) \ +{ \ + return __gmp_expr \ + , eval_fun> >(t, expr); \ +} + +#define __GMPNS_DEFINE_BINARY_FUNCTION(fun, eval_fun, type) \ +__GMPNN_DEFINE_BINARY_FUNCTION(fun, eval_fun, type, signed long int) + +#define __GMPNU_DEFINE_BINARY_FUNCTION(fun, eval_fun, type) \ +__GMPNN_DEFINE_BINARY_FUNCTION(fun, eval_fun, type, unsigned long int) + +#define __GMPND_DEFINE_BINARY_FUNCTION(fun, eval_fun, type) \ +__GMPNN_DEFINE_BINARY_FUNCTION(fun, eval_fun, type, double) + +#define __GMPNLD_DEFINE_BINARY_FUNCTION(fun, eval_fun, type) \ +__GMPNN_DEFINE_BINARY_FUNCTION(fun, eval_fun, type, long double) + +#define __GMPN_DEFINE_BINARY_FUNCTION(fun, eval_fun) \ +__GMPNS_DEFINE_BINARY_FUNCTION(fun, eval_fun, signed char) \ +__GMPNU_DEFINE_BINARY_FUNCTION(fun, eval_fun, unsigned char) \ +__GMPNS_DEFINE_BINARY_FUNCTION(fun, eval_fun, signed int) \ +__GMPNU_DEFINE_BINARY_FUNCTION(fun, eval_fun, unsigned int) \ +__GMPNS_DEFINE_BINARY_FUNCTION(fun, eval_fun, signed short int) \ +__GMPNU_DEFINE_BINARY_FUNCTION(fun, eval_fun, unsigned short int) \ +__GMPNS_DEFINE_BINARY_FUNCTION(fun, eval_fun, signed long int) \ +__GMPNU_DEFINE_BINARY_FUNCTION(fun, eval_fun, unsigned long int) \ +__GMPND_DEFINE_BINARY_FUNCTION(fun, eval_fun, float) \ +__GMPND_DEFINE_BINARY_FUNCTION(fun, eval_fun, double) \ +__GMPNLD_DEFINE_BINARY_FUNCTION(fun, eval_fun, long double) + +#define __GMP_DEFINE_BINARY_FUNCTION(fun, eval_fun) \ +__GMPP_DEFINE_BINARY_FUNCTION(fun, eval_fun) \ +__GMPN_DEFINE_BINARY_FUNCTION(fun, eval_fun) + + +#define __GMP_DEFINE_BINARY_FUNCTION_UI(fun, eval_fun) \ + \ +template \ +inline __gmp_expr \ +, unsigned long int, eval_fun> > \ +fun(const __gmp_expr &expr, unsigned long int l) \ +{ \ + return __gmp_expr, unsigned long int, eval_fun> >(expr, l); \ +} + + +#define __GMPP_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun) \ + \ +template \ +inline type fun(const __gmp_expr &expr1, \ + const __gmp_expr &expr2) \ +{ \ + typedef typename __gmp_resolve_expr::value_type eval_type; \ + typename __gmp_resolve_temp::temp_type temp1(expr1); \ + typename __gmp_resolve_temp::temp_type temp2(expr2); \ + return eval_fun::eval(temp1.__get_mp(), temp2.__get_mp()); \ +} + +#define __GMPNN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, \ + type2, bigtype) \ + \ +template \ +inline type fun(const __gmp_expr &expr, type2 t) \ +{ \ + typename __gmp_resolve_temp::temp_type temp(expr); \ + return eval_fun::eval(temp.__get_mp(), static_cast(t)); \ +} \ + \ +template \ +inline type fun(type2 t, const __gmp_expr &expr) \ +{ \ + typename __gmp_resolve_temp::temp_type temp(expr); \ + return eval_fun::eval(static_cast(t), temp.__get_mp()); \ +} + +#define __GMPNS_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, type2) \ +__GMPNN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, \ + type2, signed long int) + +#define __GMPNU_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, type2) \ +__GMPNN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, \ + type2, unsigned long int) + +#define __GMPND_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, type2) \ +__GMPNN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, type2, double) + +#define __GMPNLD_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, type2) \ +__GMPNN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, type2, long double) + +#define __GMPN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun) \ +__GMPNS_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, signed char) \ +__GMPNU_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, unsigned char) \ +__GMPNS_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, signed int) \ +__GMPNU_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, unsigned int) \ +__GMPNS_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, signed short int) \ +__GMPNU_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, unsigned short int) \ +__GMPNS_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, signed long int) \ +__GMPNU_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, unsigned long int) \ +__GMPND_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, float) \ +__GMPND_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, double) \ +__GMPNLD_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, long double) + +#define __GMP_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun) \ +__GMPP_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun) \ +__GMPN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun) + + +// member operators + +#define __GMPP_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun) \ + \ +template \ +inline type##_class & type##_class::fun(const __gmp_expr &expr) \ +{ \ + __gmp_set_expr(mp, __gmp_expr, eval_fun> >(*this, expr)); \ + return *this; \ +} + +#define __GMPNN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, \ + type2, bigtype) \ + \ +inline type##_class & type##_class::fun(type2 t) \ +{ \ + __gmp_set_expr(mp, __gmp_expr >(*this, t)); \ + return *this; \ +} + +#define __GMPNS_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, type2) \ +__GMPNN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, \ + type2, signed long int) + +#define __GMPNU_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, type2) \ +__GMPNN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, \ + type2, unsigned long int) + +#define __GMPND_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, type2) \ +__GMPNN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, type2, double) + +#define __GMPNLD_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, type2) \ +__GMPNN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, type2, long double) + +#define __GMPN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun) \ +__GMPNS_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, signed char) \ +__GMPNU_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, unsigned char) \ +__GMPNS_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, signed int) \ +__GMPNU_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, unsigned int) \ +__GMPNS_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, signed short int) \ +__GMPNU_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, unsigned short int) \ +__GMPNS_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, signed long int) \ +__GMPNU_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, unsigned long int) \ +__GMPND_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, float) \ +__GMPND_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, double) \ +/* __GMPNLD_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, long double) */ + +#define __GMP_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun) \ +__GMPP_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun) \ +__GMPN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun) + +#define __GMPZ_DEFINE_COMPOUND_OPERATOR(fun, eval_fun) \ +__GMP_DEFINE_COMPOUND_OPERATOR(mpz, fun, eval_fun) + +#define __GMPZZ_DEFINE_COMPOUND_OPERATOR(fun, eval_fun) \ +__GMPP_DEFINE_COMPOUND_OPERATOR(mpz, fun, eval_fun) + +#define __GMPQ_DEFINE_COMPOUND_OPERATOR(fun, eval_fun) \ +__GMP_DEFINE_COMPOUND_OPERATOR(mpq, fun, eval_fun) + +#define __GMPF_DEFINE_COMPOUND_OPERATOR(fun, eval_fun) \ +__GMP_DEFINE_COMPOUND_OPERATOR(mpf, fun, eval_fun) + + + +#define __GMP_DEFINE_COMPOUND_OPERATOR_UI(type, fun, eval_fun) \ + \ +inline type##_class & type##_class::fun(unsigned long int l) \ +{ \ + __gmp_set_expr(mp, __gmp_expr >(*this, l)); \ + return *this; \ +} + +#define __GMPZ_DEFINE_COMPOUND_OPERATOR_UI(fun, eval_fun) \ +__GMP_DEFINE_COMPOUND_OPERATOR_UI(mpz, fun, eval_fun) + +#define __GMPQ_DEFINE_COMPOUND_OPERATOR_UI(fun, eval_fun) \ +__GMP_DEFINE_COMPOUND_OPERATOR_UI(mpq, fun, eval_fun) + +#define __GMPF_DEFINE_COMPOUND_OPERATOR_UI(fun, eval_fun) \ +__GMP_DEFINE_COMPOUND_OPERATOR_UI(mpf, fun, eval_fun) + + + +#define __GMP_DEFINE_INCREMENT_OPERATOR(type, fun, eval_fun) \ + \ +inline type##_class & type##_class::fun() \ +{ \ + eval_fun::eval(mp); \ + return *this; \ +} \ + \ +inline type##_class type##_class::fun(int) \ +{ \ + type##_class temp(*this); \ + eval_fun::eval(mp); \ + return temp; \ +} + +#define __GMPZ_DEFINE_INCREMENT_OPERATOR(fun, eval_fun) \ +__GMP_DEFINE_INCREMENT_OPERATOR(mpz, fun, eval_fun) + +#define __GMPQ_DEFINE_INCREMENT_OPERATOR(fun, eval_fun) \ +__GMP_DEFINE_INCREMENT_OPERATOR(mpq, fun, eval_fun) + +#define __GMPF_DEFINE_INCREMENT_OPERATOR(fun, eval_fun) \ +__GMP_DEFINE_INCREMENT_OPERATOR(mpf, fun, eval_fun) + + + +/**************** Arithmetic operators and functions ****************/ + +// non-member operators and functions + +__GMP_DEFINE_UNARY_FUNCTION(operator+, __gmp_unary_plus) +__GMP_DEFINE_UNARY_FUNCTION(operator-, __gmp_unary_minus) +__GMP_DEFINE_UNARY_FUNCTION(operator~, __gmp_unary_com) + +__GMP_DEFINE_BINARY_FUNCTION(operator+, __gmp_binary_plus) +__GMP_DEFINE_BINARY_FUNCTION(operator-, __gmp_binary_minus) +__GMP_DEFINE_BINARY_FUNCTION(operator*, __gmp_binary_multiplies) +__GMP_DEFINE_BINARY_FUNCTION(operator/, __gmp_binary_divides) +__GMP_DEFINE_BINARY_FUNCTION(operator%, __gmp_binary_modulus) +__GMP_DEFINE_BINARY_FUNCTION(operator&, __gmp_binary_and) +__GMP_DEFINE_BINARY_FUNCTION(operator|, __gmp_binary_ior) +__GMP_DEFINE_BINARY_FUNCTION(operator^, __gmp_binary_xor) + +__GMP_DEFINE_BINARY_FUNCTION_UI(operator<<, __gmp_binary_lshift) +__GMP_DEFINE_BINARY_FUNCTION_UI(operator>>, __gmp_binary_rshift) + +__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator==, __gmp_binary_equal) +__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator!=, __gmp_binary_not_equal) +__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator<, __gmp_binary_less) +__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator<=, __gmp_binary_less_equal) +__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator>, __gmp_binary_greater) +__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator>=, \ + __gmp_binary_greater_equal) + +__GMP_DEFINE_UNARY_FUNCTION(abs, __gmp_abs_function) +__GMP_DEFINE_UNARY_FUNCTION(trunc, __gmp_trunc_function) +__GMP_DEFINE_UNARY_FUNCTION(floor, __gmp_floor_function) +__GMP_DEFINE_UNARY_FUNCTION(ceil, __gmp_ceil_function) +__GMP_DEFINE_UNARY_FUNCTION(sqrt, __gmp_sqrt_function) +__GMP_DEFINE_BINARY_FUNCTION(hypot, __gmp_hypot_function) + +__GMP_DEFINE_UNARY_TYPE_FUNCTION(int, sgn, __gmp_sgn_function) +__GMP_DEFINE_BINARY_TYPE_FUNCTION(int, cmp, __gmp_cmp_function) + +// member operators for mpz_class + +__GMPZ_DEFINE_COMPOUND_OPERATOR(operator+=, __gmp_binary_plus) +__GMPZ_DEFINE_COMPOUND_OPERATOR(operator-=, __gmp_binary_minus) +__GMPZ_DEFINE_COMPOUND_OPERATOR(operator*=, __gmp_binary_multiplies) +__GMPZ_DEFINE_COMPOUND_OPERATOR(operator/=, __gmp_binary_divides) +__GMPZ_DEFINE_COMPOUND_OPERATOR(operator%=, __gmp_binary_modulus) + +__GMPZZ_DEFINE_COMPOUND_OPERATOR(operator&=, __gmp_binary_and) +__GMPZZ_DEFINE_COMPOUND_OPERATOR(operator|=, __gmp_binary_ior) +__GMPZZ_DEFINE_COMPOUND_OPERATOR(operator^=, __gmp_binary_xor) + +__GMPZ_DEFINE_COMPOUND_OPERATOR_UI(operator<<=, __gmp_binary_lshift) +__GMPZ_DEFINE_COMPOUND_OPERATOR_UI(operator>>=, __gmp_binary_rshift) + +__GMPZ_DEFINE_INCREMENT_OPERATOR(operator++, __gmp_unary_increment) +__GMPZ_DEFINE_INCREMENT_OPERATOR(operator--, __gmp_unary_decrement) + +// member operators for mpq_class + +__GMPQ_DEFINE_COMPOUND_OPERATOR(operator+=, __gmp_binary_plus) +__GMPQ_DEFINE_COMPOUND_OPERATOR(operator-=, __gmp_binary_minus) +__GMPQ_DEFINE_COMPOUND_OPERATOR(operator*=, __gmp_binary_multiplies) +__GMPQ_DEFINE_COMPOUND_OPERATOR(operator/=, __gmp_binary_divides) + +__GMPQ_DEFINE_COMPOUND_OPERATOR_UI(operator<<=, __gmp_binary_lshift) +__GMPQ_DEFINE_COMPOUND_OPERATOR_UI(operator>>=, __gmp_binary_rshift) + +__GMPQ_DEFINE_INCREMENT_OPERATOR(operator++, __gmp_unary_increment) +__GMPQ_DEFINE_INCREMENT_OPERATOR(operator--, __gmp_unary_decrement) + +// member operators for mpf_class + +__GMPF_DEFINE_COMPOUND_OPERATOR(operator+=, __gmp_binary_plus) +__GMPF_DEFINE_COMPOUND_OPERATOR(operator-=, __gmp_binary_minus) +__GMPF_DEFINE_COMPOUND_OPERATOR(operator*=, __gmp_binary_multiplies) +__GMPF_DEFINE_COMPOUND_OPERATOR(operator/=, __gmp_binary_divides) + +__GMPF_DEFINE_COMPOUND_OPERATOR_UI(operator<<=, __gmp_binary_lshift) +__GMPF_DEFINE_COMPOUND_OPERATOR_UI(operator>>=, __gmp_binary_rshift) + +__GMPF_DEFINE_INCREMENT_OPERATOR(operator++, __gmp_unary_increment) +__GMPF_DEFINE_INCREMENT_OPERATOR(operator--, __gmp_unary_decrement) + + + +/**************** Class wrapper for gmp_randstate_t ****************/ + +class __gmp_urandomb_value { }; +class __gmp_urandomm_value { }; + +template <> +class __gmp_expr +{ +private: + __gmp_randstate_struct *state; + unsigned long int bits; +public: + __gmp_expr(gmp_randstate_t s, unsigned long int l) : state(s), bits(l) { } + void eval(mpz_ptr z) const { __gmp_rand_function::eval(z, state, bits); } + unsigned long int get_prec() const { return mpf_get_default_prec(); } +}; + +template <> +class __gmp_expr +{ +private: + __gmp_randstate_struct *state; + mpz_class range; +public: + __gmp_expr(gmp_randstate_t s, const mpz_class &z) : state(s), range(z) { } + void eval(mpz_ptr z) const + { __gmp_rand_function::eval(z, state, range.get_mpz_t()); } + unsigned long int get_prec() const { return mpf_get_default_prec(); } +}; + +template <> +class __gmp_expr +{ +private: + __gmp_randstate_struct *state; + unsigned long int bits; +public: + __gmp_expr(gmp_randstate_t s, unsigned long int l) : state(s), bits(l) { } + void eval(mpf_ptr f, mp_bitcnt_t prec) const + { __gmp_rand_function::eval(f, state, (bits>0) ? get_prec() : prec); } + unsigned long int get_prec() const + { + if (bits == 0) + return mpf_get_default_prec(); + else + return bits; + } +}; + +extern "C" { + typedef void __gmp_randinit_default_t (gmp_randstate_t); + typedef void __gmp_randinit_lc_2exp_t (gmp_randstate_t, mpz_srcptr, unsigned long int, mp_bitcnt_t); + typedef int __gmp_randinit_lc_2exp_size_t (gmp_randstate_t, mp_bitcnt_t); +} + +class gmp_randclass +{ +private: + gmp_randstate_t state; + + // copy construction and assignment not allowed + gmp_randclass(const gmp_randclass &); + void operator=(const gmp_randclass &); +public: + // constructors and destructor + gmp_randclass(gmp_randalg_t alg, unsigned long int size) + { + switch (alg) + { + case GMP_RAND_ALG_LC: // no other cases for now + default: + gmp_randinit_lc_2exp_size(state, size); + break; + } + } + + // gmp_randinit_default + gmp_randclass(__gmp_randinit_default_t* f) { f(state); } + + // gmp_randinit_lc_2exp + gmp_randclass(__gmp_randinit_lc_2exp_t* f, + mpz_class z, unsigned long int l1, unsigned long int l2) + { f(state, z.get_mpz_t(), l1, l2); } + + // gmp_randinit_lc_2exp_size + gmp_randclass(__gmp_randinit_lc_2exp_size_t* f, + unsigned long int size) + { + if (f (state, size) == 0) + throw std::length_error ("gmp_randinit_lc_2exp_size"); + } + + ~gmp_randclass() { gmp_randclear(state); } + + // initialize + void seed(); // choose a random seed some way (?) + void seed(unsigned long int s) { gmp_randseed_ui(state, s); } + void seed(const mpz_class &z) { gmp_randseed(state, z.get_mpz_t()); } + + // get random number + __gmp_expr get_z_bits(unsigned long int l) + { return __gmp_expr(state, l); } + __gmp_expr get_z_bits(const mpz_class &z) + { return get_z_bits(z.get_ui()); } + + __gmp_expr get_z_range(const mpz_class &z) + { return __gmp_expr(state, z); } + + __gmp_expr get_f(unsigned long int prec = 0) + { return __gmp_expr(state, prec); } +}; + + +/**************** #undef all private macros ****************/ + +#undef __GMPP_DECLARE_COMPOUND_OPERATOR +#undef __GMPN_DECLARE_COMPOUND_OPERATOR +#undef __GMP_DECLARE_COMPOUND_OPERATOR +#undef __GMP_DECLARE_COMPOUND_OPERATOR_UI +#undef __GMP_DECLARE_INCREMENT_OPERATOR + +#undef __GMPZQ_DEFINE_EXPR +#undef __GMP_DEFINE_TERNARY_EXPR + +#undef __GMP_DEFINE_UNARY_FUNCTION +#undef __GMP_DEFINE_UNARY_TYPE_FUNCTION + +#undef __GMPP_DEFINE_BINARY_FUNCTION +#undef __GMPNN_DEFINE_BINARY_FUNCTION +#undef __GMPNS_DEFINE_BINARY_FUNCTION +#undef __GMPNU_DEFINE_BINARY_FUNCTION +#undef __GMPND_DEFINE_BINARY_FUNCTION +#undef __GMPNLD_DEFINE_BINARY_FUNCTION +#undef __GMPN_DEFINE_BINARY_FUNCTION +#undef __GMP_DEFINE_BINARY_FUNCTION + +#undef __GMP_DEFINE_BINARY_FUNCTION_UI + +#undef __GMPP_DEFINE_BINARY_TYPE_FUNCTION +#undef __GMPNN_DEFINE_BINARY_TYPE_FUNCTION +#undef __GMPNS_DEFINE_BINARY_TYPE_FUNCTION +#undef __GMPNU_DEFINE_BINARY_TYPE_FUNCTION +#undef __GMPND_DEFINE_BINARY_TYPE_FUNCTION +#undef __GMPNLD_DEFINE_BINARY_TYPE_FUNCTION +#undef __GMPN_DEFINE_BINARY_TYPE_FUNCTION +#undef __GMP_DEFINE_BINARY_TYPE_FUNCTION + +#undef __GMPP_DECLARE_COMPOUND_OPERATOR +#undef __GMPN_DECLARE_COMPOUND_OPERATOR +#undef __GMP_DECLARE_COMPOUND_OPERATOR + +#undef __GMP_DECLARE_COMPOUND_OPERATOR_UI +#undef __GMP_DECLARE_INCREMENT_OPERATOR + +#undef __GMPZ_DEFINE_COMPOUND_OPERATOR +#undef __GMPZZ_DEFINE_COMPOUND_OPERATOR +#undef __GMPZN_DEFINE_COMPOUND_OPERATOR +#undef __GMPZNN_DEFINE_COMPOUND_OPERATOR +#undef __GMPZNS_DEFINE_COMPOUND_OPERATOR +#undef __GMPZNU_DEFINE_COMPOUND_OPERATOR +#undef __GMPZND_DEFINE_COMPOUND_OPERATOR +#undef __GMPZNLD_DEFINE_COMPOUND_OPERATOR + +#undef __GMPP_DEFINE_COMPOUND_OPERATOR +#undef __GMPNN_DEFINE_COMPOUND_OPERATOR +#undef __GMPNS_DEFINE_COMPOUND_OPERATOR +#undef __GMPNU_DEFINE_COMPOUND_OPERATOR +#undef __GMPND_DEFINE_COMPOUND_OPERATOR +#undef __GMPNLD_DEFINE_COMPOUND_OPERATOR +#undef __GMPN_DEFINE_COMPOUND_OPERATOR +#undef __GMP_DEFINE_COMPOUND_OPERATOR + +#undef __GMPZ_DEFINE_COMPOUND_OPERATOR +#undef __GMPZZ_DEFINE_COMPOUND_OPERATOR +#undef __GMPQ_DEFINE_COMPOUND_OPERATOR +#undef __GMPF_DEFINE_COMPOUND_OPERATOR + +#undef __GMP_DEFINE_COMPOUND_OPERATOR_UI +#undef __GMPZ_DEFINE_COMPOUND_OPERATOR_UI +#undef __GMPQ_DEFINE_COMPOUND_OPERATOR_UI +#undef __GMPF_DEFINE_COMPOUND_OPERATOR_UI + +#undef __GMP_DEFINE_INCREMENT_OPERATOR +#undef __GMPZ_DEFINE_INCREMENT_OPERATOR +#undef __GMPQ_DEFINE_INCREMENT_OPERATOR +#undef __GMPF_DEFINE_INCREMENT_OPERATOR + +#endif /* __GMP_PLUSPLUS__ */ diff --git a/src/external/lib/linux-g++/libmpir.a b/src/external/lib/linux-g++/libmpir.a new file mode 100644 index 0000000000000000000000000000000000000000..dfd308c25fdd2fa680ea592dad23f7027c9c8362 GIT binary patch literal 1299966 zcmeEv2Ygh;_VA<^APE5xY%Ca&pu}u?5Meis8{7cWL@Y}xiKLP20!D#g09j)Y%Tp|1 zSDyM1u>lGufHV~;PsQ>CQIP;5pi*pn=gggRclKs4NqEKg{C|_*X6~FhXXZ>h=gi!> zGrb1pR^=BD3cbSQ>0+gz`Yiu9napvCi3uEMLMUUtd5k5zuKupt%NYJL7JL3|Rg8@e 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