1.2

1 files changed, 2182 insertions, 0 deletions

diff --git a/library/GMP/include/gmp.h b/library/GMP/include/gmp.h
new file mode 100644
index 00000000..1268c74d
--- /dev/null
+++ b/library/GMP/include/gmp.h
@@ -0,0 +1,2182 @@
+/* Definitions for GNU multiple precision functions.   -*- mode: c -*-
+
+Copyright 1991, 1993, 1994, 1995, 1996, 1997, 1999, 2000, 2001, 2002, 2003,
+2004, 2005, 2006, 2007 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library.
+
+The GNU MP Library is free software; you can redistribute it and/or modify
+it under the terms of 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/.  */
+
+#ifndef __GMP_H__
+
+#if defined (__cplusplus)
+#include <iosfwd>   /* for std::istream, std::ostream, std::string */
+#endif
+
+
+/* Instantiated by configure. */
+#if ! defined (__GMP_WITHIN_CONFIGURE)
+#define __GMP_BITS_PER_MP_LIMB             32
+#define __GMP_HAVE_HOST_CPU_FAMILY_power   0
+#define __GMP_HAVE_HOST_CPU_FAMILY_powerpc 0
+#define GMP_LIMB_BITS                      32
+#define GMP_NAIL_BITS                      0
+#endif
+#define GMP_NUMB_BITS     (GMP_LIMB_BITS - GMP_NAIL_BITS)
+#define GMP_NUMB_MASK     ((~ __GMP_CAST (mp_limb_t, 0)) >> GMP_NAIL_BITS)
+#define GMP_NUMB_MAX      GMP_NUMB_MASK
+#define GMP_NAIL_MASK     (~ GMP_NUMB_MASK)
+
+
+/* The following (everything under ifndef __GNU_MP__) must be identical in
+   gmp.h and mp.h to allow both to be included in an application or during
+   the library build.  */
+#ifndef __GNU_MP__
+#define __GNU_MP__ 4
+
+#define __need_size_t  /* tell gcc stddef.h we only want size_t */
+#if defined (__cplusplus)
+#include <cstddef>     /* for size_t */
+#else
+#include <stddef.h>    /* for size_t */
+#endif
+#undef __need_size_t
+
+/* Instantiated by configure. */
+#if ! defined (__GMP_WITHIN_CONFIGURE)
+/* #undef _LONG_LONG_LIMB */
+#define __GMP_LIBGMP_DLL  0
+#endif
+
+
+/* __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 libgmp, and is empty in
+   all other circumstances.
+
+   When compiling objects for libgmp, __GMP_DECLSPEC is an export directive,
+   or when compiling for an application it's an import directive.  The two
+   cases are differentiated by __GMP_WITHIN_GMP defined by the GMP Makefiles
+   (and not defined from an application).
+
+   __GMP_DECLSPEC_XX is similarly used for libgmpxx.  __GMP_WITHIN_GMPXX
+   indicates when building libgmpxx, and in that case libgmpxx functions are
+   exports, but libgmp functions which might get called are imports.
+
+   libmp.la uses __GMP_DECLSPEC, just as if it were libgmp.la.  libgmp 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 libgmp */
+#define __GMP_DECLSPEC  __GMP_DECLSPEC_EXPORT
+#else
+/* compiling to go into an application which will link to a DLL libgmp */
+#define __GMP_DECLSPEC  __GMP_DECLSPEC_IMPORT
+#endif
+#else
+/* all other cases */
+#define __GMP_DECLSPEC
+#endif
+
+
+#ifdef __GMP_SHORT_LIMB
+typedef unsigned int		mp_limb_t;
+typedef int			mp_limb_signed_t;
+#else
+#ifdef _LONG_LONG_LIMB
+typedef unsigned long long int	mp_limb_t;
+typedef long long int		mp_limb_signed_t;
+#else
+typedef unsigned long int	mp_limb_t;
+typedef long int		mp_limb_signed_t;
+#endif
+#endif
+
+/* For reference, note that the name __mpz_struct gets into C++ mangled
+   function names, which means although the "__" suggests an internal, we
+   must leave this name for binary compatibility.  */
+typedef struct
+{
+    int _mp_alloc;		/* Number of *limbs* allocated and pointed
+				   to by the _mp_d field.  */
+    int _mp_size;			/* abs(_mp_size) is the number of limbs the
+				   last field points to.  If _mp_size is
+				   negative this is a negative number.  */
+    mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
+} __mpz_struct;
+
+#endif /* __GNU_MP__ */
+
+
+typedef __mpz_struct MP_INT;    /* gmp 1 source compatibility */
+typedef __mpz_struct mpz_t[1];
+
+typedef mp_limb_t *		mp_ptr;
+typedef __gmp_const mp_limb_t *	mp_srcptr;
+#if defined (_CRAY) && ! defined (_CRAYMPP)
+/* plain `int' is much faster (48 bits) */
+#define __GMP_MP_SIZE_T_INT     1
+typedef int			mp_size_t;
+typedef int			mp_exp_t;
+#else
+#define __GMP_MP_SIZE_T_INT     0
+typedef long int		mp_size_t;
+typedef long int		mp_exp_t;
+#endif
+
+typedef struct
+{
+    __mpz_struct _mp_num;
+    __mpz_struct _mp_den;
+} __mpq_struct;
+
+typedef __mpq_struct MP_RAT;    /* gmp 1 source compatibility */
+typedef __mpq_struct mpq_t[1];
+
+typedef struct
+{
+    int _mp_prec;			/* Max precision, in number of `mp_limb_t's.
+				   Set by mpf_init and modified by
+				   mpf_set_prec.  The area pointed to by the
+				   _mp_d field contains `prec' + 1 limbs.  */
+    int _mp_size;			/* abs(_mp_size) is the number of limbs the
+				   last field points to.  If _mp_size is
+				   negative this is a negative number.  */
+    mp_exp_t _mp_exp;		/* Exponent, in the base of `mp_limb_t'.  */
+    mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
+} __mpf_struct;
+
+/* typedef __mpf_struct MP_FLOAT; */
+typedef __mpf_struct mpf_t[1];
+
+/* Available random number generation algorithms.  */
+typedef enum
+{
+    GMP_RAND_ALG_DEFAULT = 0,
+    GMP_RAND_ALG_LC = GMP_RAND_ALG_DEFAULT /* Linear congruential.  */
+} gmp_randalg_t;
+
+/* Random state struct.  */
+typedef struct
+{
+    mpz_t _mp_seed;	  /* _mp_d member points to state of the generator. */
+    gmp_randalg_t _mp_alg;  /* Currently unused. */
+    union
+    {
+        void *_mp_lc;         /* Pointer to function pointers structure.  */
+    } _mp_algdata;
+} __gmp_randstate_struct;
+typedef __gmp_randstate_struct gmp_randstate_t[1];
+
+/* Types for function declarations in gmp files.  */
+/* ??? Should not pollute user name space with these ??? */
+typedef __gmp_const __mpz_struct *mpz_srcptr;
+typedef __mpz_struct *mpz_ptr;
+typedef __gmp_const __mpf_struct *mpf_srcptr;
+typedef __mpf_struct *mpf_ptr;
+typedef __gmp_const __mpq_struct *mpq_srcptr;
+typedef __mpq_struct *mpq_ptr;
+
+
+/* This is not wanted in mp.h, so put it outside the __GNU_MP__ common
+   section. */
+#if __GMP_LIBGMP_DLL
+#if __GMP_WITHIN_GMPXX
+/* compiling to go into a DLL libgmpxx */
+#define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_EXPORT
+#else
+/* compiling to go into a application which will link to a DLL libgmpxx */
+#define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_IMPORT
+#endif
+#else
+/* all other cases */
+#define __GMP_DECLSPEC_XX
+#endif
+
+
+#if __GMP_HAVE_PROTOTYPES
+#define __GMP_PROTO(x) x
+#else
+#define __GMP_PROTO(x) ()
+#endif
+
+#ifndef __MPN
+#if __GMP_HAVE_TOKEN_PASTE
+#define __MPN(x) __gmpn_##x
+#else
+#define __MPN(x) __gmpn_/**/x
+#endif
+#endif
+
+/* For reference, "defined(EOF)" cannot be used here.  In g++ 2.95.4,
+   <iostream> defines EOF but not FILE.  */
+#if defined (FILE)                                              \
+  || defined (H_STDIO)                                          \
+  || defined (_H_STDIO)               /* AIX */                 \
+  || defined (_STDIO_H)               /* glibc, Sun, SCO */     \
+  || defined (_STDIO_H_)              /* BSD, OSF */            \
+  || defined (__STDIO_H)              /* Borland */             \
+  || defined (__STDIO_H__)            /* IRIX */                \
+  || defined (_STDIO_INCLUDED)        /* HPUX */                \
+  || defined (__dj_include_stdio_h_)  /* DJGPP */               \
+  || defined (_FILE_DEFINED)          /* Microsoft */           \
+  || defined (__STDIO__)              /* Apple MPW MrC */       \
+  || defined (_MSL_STDIO_H)           /* Metrowerks */          \
+  || defined (_STDIO_H_INCLUDED)      /* QNX4 */		\
+  || defined (_ISO_STDIO_ISO_H)       /* Sun C++ */
+#define _GMP_H_HAVE_FILE 1
+#endif
+
+/* In ISO C, if a prototype involving "struct obstack *" is given without
+   that structure defined, then the struct is scoped down to just the
+   prototype, causing a conflict if it's subsequently defined for real.  So
+   only give prototypes if we've got obstack.h.  */
+#if defined (_OBSTACK_H)   /* glibc <obstack.h> */
+#define _GMP_H_HAVE_OBSTACK 1
+#endif
+
+/* The prototypes for gmp_vprintf etc are provided only if va_list is
+   available, via an application having included <stdarg.h> or <varargs.h>.
+   Usually va_list is a typedef so can't be tested directly, but C99
+   specifies that va_start is a macro (and it was normally a macro on past
+   systems too), so look for that.
+
+   <stdio.h> will define some sort of va_list for vprintf and vfprintf, but
+   let's not bother trying to use that since it's not standard and since
+   application uses for gmp_vprintf etc will almost certainly require the
+   whole <stdarg.h> or <varargs.h> anyway.  */
+
+#ifdef va_start
+#define _GMP_H_HAVE_VA_LIST 1
+#endif
+
+/* Test for gcc >= maj.min, as per __GNUC_PREREQ in glibc */
+#if defined (__GNUC__) && defined (__GNUC_MINOR__)
+#define __GMP_GNUC_PREREQ(maj, min) \
+  ((__GNUC__ << 16) + __GNUC_MINOR__ >= ((maj) << 16) + (min))
+#else
+#define __GMP_GNUC_PREREQ(maj, min)  0
+#endif
+
+/* "pure" is in gcc 2.96 and up, see "(gcc)Function Attributes".  Basically
+   it means a function does nothing but examine its arguments and memory
+   (global or via arguments) to generate a return value, but changes nothing
+   and has no side-effects.  __GMP_NO_ATTRIBUTE_CONST_PURE lets
+   tune/common.c etc turn this off when trying to write timing loops.  */
+#if __GMP_GNUC_PREREQ (2,96) && ! defined (__GMP_NO_ATTRIBUTE_CONST_PURE)
+#define __GMP_ATTRIBUTE_PURE   __attribute__ ((__pure__))
+#else
+#define __GMP_ATTRIBUTE_PURE
+#endif
+
+
+/* __GMP_CAST allows us to use static_cast in C++, so our macros are clean
+   to "g++ -Wold-style-cast".
+
+   Casts in "extern inline" code within an extern "C" block don't induce
+   these warnings, so __GMP_CAST only needs to be used on documented
+   macros.  */
+
+#ifdef __cplusplus
+#define __GMP_CAST(type, expr)  (static_cast<type> (expr))
+#else
+#define __GMP_CAST(type, expr)  ((type) (expr))
+#endif
+
+
+/* An empty "throw ()" means the function doesn't throw any C++ exceptions,
+   this can save some stack frame info in applications.
+
+   Currently it's given only on functions which never divide-by-zero etc,
+   don't allocate memory, and are expected to never need to allocate memory.
+   This leaves open the possibility of a C++ throw from a future GMP
+   exceptions scheme.
+
+   mpz_set_ui etc are omitted to leave open the lazy allocation scheme
+   described in doc/tasks.html.  mpz_get_d etc are omitted to leave open
+   exceptions for float overflows.
+
+   Note that __GMP_NOTHROW must be given on any inlines the same as on their
+   prototypes (for g++ at least, where they're used together).  Note also
+   that g++ 3.0 demands that __GMP_NOTHROW is before other attributes like
+   __GMP_ATTRIBUTE_PURE.  */
+
+#if defined (__cplusplus)
+#define __GMP_NOTHROW  throw ()
+#else
+#define __GMP_NOTHROW
+#endif
+
+
+/* PORTME: What other compilers have a useful "extern inline"?  "static
+   inline" would be an acceptable substitute if the compiler (or linker)
+   discards unused statics.  */
+
+/* gcc has __inline__ in all modes, including strict ansi.  Give a prototype
+   for an inline too, so as to correctly specify "dllimport" on windows, in
+   case the function is called rather than inlined.
+   GCC 4.3 and above with -std=c99 or -std=gnu99 implements ISO C99
+   inline semantics, unless -fgnu89-inline is used.  */
+#ifdef __GNUC__
+#ifdef __GNUC_STDC_INLINE__
+#define __GMP_EXTERN_INLINE extern __inline__ __attribute__ ((__gnu_inline__))
+#else
+#define __GMP_EXTERN_INLINE      extern __inline__
+#endif
+#define __GMP_INLINE_PROTOTYPES  1
+#endif
+
+/* DEC C (eg. version 5.9) supports "static __inline foo()", even in -std1
+   strict ANSI mode.  Inlining is done even when not optimizing (ie. -O0
+   mode, which is the default), but an unnecessary local copy of foo is
+   emitted unless -O is used.  "extern __inline" is accepted, but the
+   "extern" appears to be ignored, ie. it becomes a plain global function
+   but which is inlined within its file.  Don't know if all old versions of
+   DEC C supported __inline, but as a start let's do the right thing for
+   current versions.  */
+#ifdef __DECC
+#define __GMP_EXTERN_INLINE  static __inline
+#endif
+
+/* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict
+   ANSI mode (__STDC__ is 1 in that mode).  Inlining only actually takes
+   place under -O.  Without -O "foo" seems to be emitted whether it's used
+   or not, which is wasteful.  "extern inline foo()" isn't useful, the
+   "extern" is apparently ignored, so foo is inlined if possible but also
+   emitted as a global, which causes multiple definition errors when
+   building a shared libgmp.  */
+#ifdef __SCO_VERSION__
+#if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
+  && ! defined (__GMP_EXTERN_INLINE)
+#define __GMP_EXTERN_INLINE  static inline
+#endif
+#endif
+
+/* 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
+
+#ifdef _CRAY
+#define __GMP_CRAY_Pragma(str)  _Pragma (str)
+#else
+#define __GMP_CRAY_Pragma(str)
+#endif
+
+
+/* Allow direct user access to numerator and denominator of a mpq_t object.  */
+#define mpq_numref(Q) (&((Q)->_mp_num))
+#define mpq_denref(Q) (&((Q)->_mp_den))
+
+
+#if defined (__cplusplus)
+extern "C"
+{
+#ifdef _GMP_H_HAVE_FILE
+    using std::FILE;
+#endif
+#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;
+
+
+    /**************** Random number routines.  ****************/
+
+    /* obsolete */
+#define gmp_randinit __gmp_randinit
+    __GMP_DECLSPEC void gmp_randinit __GMP_PROTO ((gmp_randstate_t, gmp_randalg_t, ...));
+
+#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,
+            unsigned long int));
+
+#define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size
+    __GMP_DECLSPEC int gmp_randinit_lc_2exp_size __GMP_PROTO ((gmp_randstate_t, unsigned long));
+
+#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
+    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
+    unsigned long gmp_urandomb_ui __GMP_PROTO ((gmp_randstate_t, unsigned long));
+
+#define gmp_urandomm_ui __gmp_urandomm_ui
+    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 _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
+#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs)
+    __GMP_DECLSPEC void mpz_abs __GMP_PROTO ((mpz_ptr, mpz_srcptr));
+#endif
+
+#define mpz_add __gmpz_add
+    __GMP_DECLSPEC void mpz_add __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+
+#define mpz_add_ui __gmpz_add_ui
+    __GMP_DECLSPEC void mpz_add_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+
+#define mpz_addmul __gmpz_addmul
+    __GMP_DECLSPEC void mpz_addmul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+
+#define mpz_addmul_ui __gmpz_addmul_ui
+    __GMP_DECLSPEC void mpz_addmul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+
+#define mpz_and __gmpz_and
+    __GMP_DECLSPEC void mpz_and __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+
+#define mpz_array_init __gmpz_array_init
+    __GMP_DECLSPEC void mpz_array_init __GMP_PROTO ((mpz_ptr, mp_size_t, mp_size_t));
+
+#define mpz_bin_ui __gmpz_bin_ui
+    __GMP_DECLSPEC void mpz_bin_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+
+#define mpz_bin_uiui __gmpz_bin_uiui
+    __GMP_DECLSPEC void mpz_bin_uiui __GMP_PROTO ((mpz_ptr, unsigned long int, unsigned long int));
+
+#define mpz_cdiv_q __gmpz_cdiv_q
+    __GMP_DECLSPEC void mpz_cdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+
+#define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
+    __GMP_DECLSPEC void mpz_cdiv_q_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long));
+
+#define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
+    __GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+
+#define mpz_cdiv_qr __gmpz_cdiv_qr
+    __GMP_DECLSPEC void mpz_cdiv_qr __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
+
+#define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
+    __GMP_DECLSPEC unsigned long int mpz_cdiv_qr_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
+
+#define mpz_cdiv_r __gmpz_cdiv_r
+    __GMP_DECLSPEC void mpz_cdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+
+#define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
+    __GMP_DECLSPEC void mpz_cdiv_r_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long));
+
+#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_clrbit __gmpz_clrbit
+    __GMP_DECLSPEC void mpz_clrbit __GMP_PROTO ((mpz_ptr, unsigned long int));
+
+#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, unsigned long int));
+
+#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, unsigned long)) __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, unsigned long)) __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, unsigned long int));
+
+#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, unsigned long int));
+
+#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 unsigned long int 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, unsigned long));
+
+#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 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, unsigned long int));
+
+#define mpz_mul_si __gmpz_mul_si
+    __GMP_DECLSPEC void mpz_mul_si __GMP_PROTO ((mpz_ptr, mpz_srcptr, long int));
+
+#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
+#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_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 unsigned long int 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_random __gmpz_random
+    __GMP_DECLSPEC void mpz_random __GMP_PROTO ((mpz_ptr, mp_size_t));
+
+#define mpz_random2 __gmpz_random2
+    __GMP_DECLSPEC void mpz_random2 __GMP_PROTO ((mpz_ptr, mp_size_t));
+
+#define mpz_realloc2 __gmpz_realloc2
+    __GMP_DECLSPEC void mpz_realloc2 __GMP_PROTO ((mpz_ptr, unsigned long));
+
+#define mpz_remove __gmpz_remove
+    __GMP_DECLSPEC unsigned long int 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_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, unsigned long int));
+
+#define mpz_scan0 __gmpz_scan0
+    __GMP_DECLSPEC unsigned long int mpz_scan0 __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
+
+#define mpz_scan1 __gmpz_scan1
+    __GMP_DECLSPEC unsigned long int mpz_scan1 __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
+
+#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 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 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, unsigned long int));
+
+#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 mpz_sub __gmpz_sub
+    __GMP_DECLSPEC void mpz_sub __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+
+#define mpz_sub_ui __gmpz_sub_ui
+    __GMP_DECLSPEC void mpz_sub_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
+
+#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, unsigned long int));
+
+#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, unsigned long int));
+
+#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, unsigned long int)) __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, unsigned long int));
+
+#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));
+
+
+    /**************** 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_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, unsigned long));
+
+#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_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, unsigned long));
+
+#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_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, unsigned long int));
+
+#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, unsigned long int)) __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 unsigned long int mpf_get_default_prec __GMP_PROTO ((void)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
+
+#define mpf_get_prec __gmpf_get_prec
+    __GMP_DECLSPEC unsigned long int 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, unsigned long int));
+
+#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, unsigned long int));
+
+#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_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 ((unsigned long int)) __GMP_NOTHROW;
+
+#define mpf_set_prec __gmpf_set_prec
+    __GMP_DECLSPEC void mpf_set_prec __GMP_PROTO ((mpf_ptr, unsigned long int));
+
+#define mpf_set_prec_raw __gmpf_set_prec_raw
+    __GMP_DECLSPEC void mpf_set_prec_raw __GMP_PROTO ((mpf_ptr, unsigned long int)) __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, unsigned long int));
+
+
+    /************ 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_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_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 __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_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_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 unsigned long int 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_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 unsigned long int 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_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 unsigned long int mpn_scan0 __GMP_PROTO ((mp_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
+
+#define mpn_scan1 __MPN(scan1)
+    __GMP_DECLSPEC unsigned long int mpn_scan1 __GMP_PROTO ((mp_srcptr, unsigned long int)) __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));
+
+
+    /**************** 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 (__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
+    unsigned long
+    mpz_popcount (mpz_srcptr __gmp_u) __GMP_NOTHROW
+    {
+        mp_size_t      __gmp_usize;
+        unsigned long  __gmp_result;
+
+        __gmp_usize = __gmp_u->_mp_size;
+        __gmp_result = (__gmp_usize < 0 ? __GMP_ULONG_MAX : 0);
+        if (__GMP_LIKELY (__gmp_usize > 0))
+            __gmp_result =  mpn_popcount (__gmp_u->_mp_d, __gmp_usize);
+        return __gmp_result;
+    }
+#endif
+
+#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_set_q)
+#if ! defined (__GMP_FORCE_mpz_set_q)
+    __GMP_EXTERN_INLINE
+#endif
+    void
+    mpz_set_q (mpz_ptr __gmp_w, mpq_srcptr __gmp_u)
+    {
+        mpz_tdiv_q (__gmp_w, mpq_numref (__gmp_u), mpq_denref (__gmp_u));
+    }
+#endif
+
+#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_size)
+#if ! defined (__GMP_FORCE_mpz_size)
+    __GMP_EXTERN_INLINE
+#endif
+    size_t
+    mpz_size (mpz_srcptr __gmp_z) __GMP_NOTHROW
+    {
+        return __GMP_ABS (__gmp_z->_mp_size);
+    }
+#endif
+
+
+    /**************** mpq inlines ****************/
+
+#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_abs)
+    __GMP_EXTERN_INLINE void
+    mpq_abs (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
+    {
+        if (__gmp_w != __gmp_u)
+            mpq_set (__gmp_w, __gmp_u);
+        __gmp_w->_mp_num._mp_size = __GMP_ABS (__gmp_w->_mp_num._mp_size);
+    }
+#endif
+
+#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_neg)
+    __GMP_EXTERN_INLINE void
+    mpq_neg (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
+    {
+        if (__gmp_w != __gmp_u)
+            mpq_set (__gmp_w, __gmp_u);
+        __gmp_w->_mp_num._mp_size = - __gmp_w->_mp_num._mp_size;
+    }
+#endif
+
+
+    /**************** mpn inlines ****************/
+
+    /* The comments with __GMPN_ADD_1 below apply here too.
+
+       The test for FUNCTION returning 0 should predict well.  If it's assumed
+       {yp,ysize} will usually have a random number of bits then the high limb
+       won't be full and a carry out will occur a good deal less than 50% of the
+       time.
+
+       ysize==0 isn't a documented feature, but is used internally in a few
+       places.
+
+       Producing cout last stops it using up a register during the main part of
+       the calculation, though gcc (as of 3.0) on an "if (mpn_add (...))"
+       doesn't seem able to move the true and false legs of the conditional up
+       to the two places cout is generated.  */
+
+#define __GMPN_AORS(cout, wp, xp, xsize, yp, ysize, FUNCTION, TEST)     \
+  do {                                                                  \
+    mp_size_t  __gmp_i;                                                 \
+    mp_limb_t  __gmp_x;                                                 \
+                                                                        \
+    /* ASSERT ((ysize) >= 0); */                                        \
+    /* ASSERT ((xsize) >= (ysize)); */                                  \
+    /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, xp, xsize)); */      \
+    /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, yp, ysize)); */      \
+                                                                        \
+    __gmp_i = (ysize);                                                  \
+    if (__gmp_i != 0)                                                   \
+      {                                                                 \
+        if (FUNCTION (wp, xp, yp, __gmp_i))                             \
+          {                                                             \
+            do                                                          \
+              {                                                         \
+                if (__gmp_i >= (xsize))                                 \
+                  {                                                     \
+                    (cout) = 1;                                         \
+                    goto __gmp_done;                                    \
+                  }                                                     \
+                __gmp_x = (xp)[__gmp_i];                                \
+              }                                                         \
+            while (TEST);                                               \
+          }                                                             \
+      }                                                                 \
+    if ((wp) != (xp))                                                   \
+      __GMPN_COPY_REST (wp, xp, xsize, __gmp_i);                        \
+    (cout) = 0;                                                         \
+  __gmp_done:                                                           \
+    ;                                                                   \
+  } while (0)
+
+#define __GMPN_ADD(cout, wp, xp, xsize, yp, ysize)              \
+  __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_add_n,       \
+               (((wp)[__gmp_i++] = (__gmp_x + 1) & GMP_NUMB_MASK) == 0))
+#define __GMPN_SUB(cout, wp, xp, xsize, yp, ysize)              \
+  __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_sub_n,       \
+               (((wp)[__gmp_i++] = (__gmp_x - 1) & GMP_NUMB_MASK), __gmp_x == 0))
+
+
+    /* The use of __gmp_i indexing is designed to ensure a compile time src==dst
+       remains nice and clear to the compiler, so that __GMPN_COPY_REST can
+       disappear, and the load/add/store gets a chance to become a
+       read-modify-write on CISC CPUs.
+
+       Alternatives:
+
+       Using a pair of pointers instead of indexing would be possible, but gcc
+       isn't able to recognise compile-time src==dst in that case, even when the
+       pointers are incremented more or less together.  Other compilers would
+       very likely have similar difficulty.
+
+       gcc could use "if (__builtin_constant_p(src==dst) && src==dst)" or
+       similar to detect a compile-time src==dst.  This works nicely on gcc
+       2.95.x, it's not good on gcc 3.0 where __builtin_constant_p(p==p) seems
+       to be always false, for a pointer p.  But the current code form seems
+       good enough for src==dst anyway.
+
+       gcc on x86 as usual doesn't give particularly good flags handling for the
+       carry/borrow detection.  It's tempting to want some multi instruction asm
+       blocks to help it, and this was tried, but in truth there's only a few
+       instructions to save and any gain is all too easily lost by register
+       juggling setting up for the asm.  */
+
+#if GMP_NAIL_BITS == 0
+#define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
+  do {								\
+    mp_size_t  __gmp_i;						\
+    mp_limb_t  __gmp_x, __gmp_r;                                \
+								\
+    /* ASSERT ((n) >= 1); */					\
+    /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
+								\
+    __gmp_x = (src)[0];						\
+    __gmp_r = __gmp_x OP (v);                                   \
+    (dst)[0] = __gmp_r;						\
+    if (CB (__gmp_r, __gmp_x, (v)))                             \
+      {								\
+	(cout) = 1;						\
+	for (__gmp_i = 1; __gmp_i < (n);)                       \
+	  {							\
+	    __gmp_x = (src)[__gmp_i];                           \
+	    __gmp_r = __gmp_x OP 1;                             \
+	    (dst)[__gmp_i] = __gmp_r;                           \
+	    ++__gmp_i;						\
+	    if (!CB (__gmp_r, __gmp_x, 1))                      \
+	      {							\
+		if ((src) != (dst))				\
+		  __GMPN_COPY_REST (dst, src, n, __gmp_i);      \
+		(cout) = 0;					\
+		break;						\
+	      }							\
+	  }							\
+      }								\
+    else							\
+      {								\
+	if ((src) != (dst))					\
+	  __GMPN_COPY_REST (dst, src, n, 1);			\
+	(cout) = 0;						\
+      }								\
+  } while (0)
+#endif
+
+#if GMP_NAIL_BITS >= 1
+#define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
+  do {								\
+    mp_size_t  __gmp_i;						\
+    mp_limb_t  __gmp_x, __gmp_r;				\
+								\
+    /* ASSERT ((n) >= 1); */					\
+    /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
+								\
+    __gmp_x = (src)[0];						\
+    __gmp_r = __gmp_x OP (v);					\
+    (dst)[0] = __gmp_r & GMP_NUMB_MASK;				\
+    if (__gmp_r >> GMP_NUMB_BITS != 0)				\
+      {								\
+	(cout) = 1;						\
+	for (__gmp_i = 1; __gmp_i < (n);)			\
+	  {							\
+	    __gmp_x = (src)[__gmp_i];				\
+	    __gmp_r = __gmp_x OP 1;				\
+	    (dst)[__gmp_i] = __gmp_r & GMP_NUMB_MASK;		\
+	    ++__gmp_i;						\
+	    if (__gmp_r >> GMP_NUMB_BITS == 0)			\
+	      {							\
+		if ((src) != (dst))				\
+		  __GMPN_COPY_REST (dst, src, n, __gmp_i);	\
+		(cout) = 0;					\
+		break;						\
+	      }							\
+	  }							\
+      }								\
+    else							\
+      {								\
+	if ((src) != (dst))					\
+	  __GMPN_COPY_REST (dst, src, n, 1);			\
+	(cout) = 0;						\
+      }								\
+  } while (0)
+#endif
+
+#define __GMPN_ADDCB(r,x,y) ((r) < (y))
+#define __GMPN_SUBCB(r,x,y) ((x) < (y))
+
+#define __GMPN_ADD_1(cout, dst, src, n, v)	     \
+  __GMPN_AORS_1(cout, dst, src, n, v, +, __GMPN_ADDCB)
+#define __GMPN_SUB_1(cout, dst, src, n, v)	     \
+  __GMPN_AORS_1(cout, dst, src, n, v, -, __GMPN_SUBCB)
+
+
+    /* Compare {xp,size} and {yp,size}, setting "result" to positive, zero or
+       negative.  size==0 is allowed.  On random data usually only one limb will
+       need to be examined to get a result, so it's worth having it inline.  */
+#define __GMPN_CMP(result, xp, yp, size)                                \
+  do {                                                                  \
+    mp_size_t  __gmp_i;                                                 \
+    mp_limb_t  __gmp_x, __gmp_y;                                        \
+                                                                        \
+    /* ASSERT ((size) >= 0); */                                         \
+                                                                        \
+    (result) = 0;                                                       \
+    __gmp_i = (size);                                                   \
+    while (--__gmp_i >= 0)                                              \
+      {                                                                 \
+        __gmp_x = (xp)[__gmp_i];                                        \
+        __gmp_y = (yp)[__gmp_i];                                        \
+        if (__gmp_x != __gmp_y)                                         \
+          {                                                             \
+            /* Cannot use __gmp_x - __gmp_y, may overflow an "int" */   \
+            (result) = (__gmp_x > __gmp_y ? 1 : -1);                    \
+            break;                                                      \
+          }                                                             \
+      }                                                                 \
+  } while (0)
+
+
+#if defined (__GMPN_COPY) && ! defined (__GMPN_COPY_REST)
+#define __GMPN_COPY_REST(dst, src, size, start)                 \
+  do {                                                          \
+    /* ASSERT ((start) >= 0); */                                \
+    /* ASSERT ((start) <= (size)); */                           \
+    __GMPN_COPY ((dst)+(start), (src)+(start), (size)-(start)); \
+  } while (0)
+#endif
+
+    /* Copy {src,size} to {dst,size}, starting at "start".  This is designed to
+       keep the indexing dst[j] and src[j] nice and simple for __GMPN_ADD_1,
+       __GMPN_ADD, etc.  */
+#if ! defined (__GMPN_COPY_REST)
+#define __GMPN_COPY_REST(dst, src, size, start)                 \
+  do {                                                          \
+    mp_size_t __gmp_j;                                          \
+    /* ASSERT ((size) >= 0); */                                 \
+    /* ASSERT ((start) >= 0); */                                \
+    /* ASSERT ((start) <= (size)); */                           \
+    /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */     \
+    __GMP_CRAY_Pragma ("_CRI ivdep");                           \
+    for (__gmp_j = (start); __gmp_j < (size); __gmp_j++)        \
+      (dst)[__gmp_j] = (src)[__gmp_j];                          \
+  } while (0)
+#endif
+
+    /* Enhancement: Use some of the smarter code from gmp-impl.h.  Maybe use
+       mpn_copyi if there's a native version, and if we don't mind demanding
+       binary compatibility for it (on targets which use it).  */
+
+#if ! defined (__GMPN_COPY)
+#define __GMPN_COPY(dst, src, size)   __GMPN_COPY_REST (dst, src, size, 0)
+#endif
+
+
+#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add)
+#if ! defined (__GMP_FORCE_mpn_add)
+    __GMP_EXTERN_INLINE
+#endif
+    mp_limb_t
+    mpn_add (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
+    {
+        mp_limb_t  __gmp_c;
+        __GMPN_ADD (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
+        return __gmp_c;
+    }
+#endif
+
+#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add_1)
+#if ! defined (__GMP_FORCE_mpn_add_1)
+    __GMP_EXTERN_INLINE
+#endif
+    mp_limb_t
+    mpn_add_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
+    {
+        mp_limb_t  __gmp_c;
+        __GMPN_ADD_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
+        return __gmp_c;
+    }
+#endif
+
+#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_cmp)
+#if ! defined (__GMP_FORCE_mpn_cmp)
+    __GMP_EXTERN_INLINE
+#endif
+    int
+    mpn_cmp (mp_srcptr __gmp_xp, mp_srcptr __gmp_yp, mp_size_t __gmp_size) __GMP_NOTHROW
+    {
+        int __gmp_result;
+        __GMPN_CMP (__gmp_result, __gmp_xp, __gmp_yp, __gmp_size);
+        return __gmp_result;
+    }
+#endif
+
+#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_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 2 and earlier. */
+#define mpn_divmod(qp,np,nsize,dp,dsize) \
+  mpn_divrem (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dp, dsize)
+
+/* Source-level compatibility with GMP 1.  */
+#define mpz_mdiv	mpz_fdiv_q
+#define mpz_mdivmod	mpz_fdiv_qr
+#define mpz_mmod	mpz_fdiv_r
+#define mpz_mdiv_ui	mpz_fdiv_q_ui
+#define mpz_mdivmod_ui(q,r,n,d) \
+  (((r) == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d))
+#define mpz_mmod_ui(r,n,d) \
+  (((r) == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d))
+
+/* Useful synonyms, but not quite compatible with GMP 1.  */
+#define mpz_div		mpz_fdiv_q
+#define mpz_divmod	mpz_fdiv_qr
+#define mpz_div_ui	mpz_fdiv_q_ui
+#define mpz_divmod_ui	mpz_fdiv_qr_ui
+#define mpz_div_2exp	mpz_fdiv_q_2exp
+#define mpz_mod_2exp	mpz_fdiv_r_2exp
+
+enum
+{
+    GMP_ERROR_NONE = 0,
+    GMP_ERROR_UNSUPPORTED_ARGUMENT = 1,
+    GMP_ERROR_DIVISION_BY_ZERO = 2,
+    GMP_ERROR_SQRT_OF_NEGATIVE = 4,
+    GMP_ERROR_INVALID_ARGUMENT = 8
+};
+
+/* Major version number is the value of __GNU_MP__ too, above and in mp.h. */
+#define __GNU_MP_VERSION 4
+#define __GNU_MP_VERSION_MINOR 2
+#define __GNU_MP_VERSION_PATCHLEVEL 2
+
+#define __GMP_H__
+#endif /* __GMP_H__ */