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 /* Definitions for GNU multiple precision functions.   -*- mode: c -*-
 
 Copyright 1991, 1993-1997, 1999-2016, 2020, 2021 Free Software
 Foundation, Inc.
 
 This file is part of the GNU MP Library.
 
 The GNU MP Library is free software; you can redistribute it and/or modify
 it under the terms of either:
 
   * the GNU Lesser General Public License as published by the Free
     Software Foundation; either version 3 of the License, or (at your
     option) any later version.
 
 or
 
   * the GNU General Public License as published by the Free Software
     Foundation; either version 2 of the License, or (at your option) any
     later version.
 
 or both in parallel, as here.
 
 The GNU MP Library is distributed in the hope that it will be useful, but
 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
 or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
 for more details.
 
 You should have received copies of the GNU General Public License and the
 GNU Lesser General Public License along with the GNU MP Library.  If not,
 see https://www.gnu.org/licenses/.  */
 
 #ifndef __GMP_H__
 
 #if defined (__cplusplus)
 #include <iosfwd>   /* for std::istream, std::ostream, std::string */
 #include <cstdio>
 #endif
 
 
 /* Instantiated by configure. */
 #if ! defined (__GMP_WITHIN_CONFIGURE)
 #define __GMP_HAVE_HOST_CPU_FAMILY_power   0
 #define __GMP_HAVE_HOST_CPU_FAMILY_powerpc 0
 #define GMP_LIMB_BITS                      64
 #define GMP_NAIL_BITS                      0
 #endif
 #define GMP_NUMB_BITS     (GMP_LIMB_BITS - GMP_NAIL_BITS)
 #define GMP_NUMB_MASK     ((~ __GMP_CAST (mp_limb_t, 0)) >> GMP_NAIL_BITS)
 #define GMP_NUMB_MAX      GMP_NUMB_MASK
 #define GMP_NAIL_MASK     (~ GMP_NUMB_MASK)
 
 
 #ifndef __GNU_MP__
 #define __GNU_MP__ 6
 
 #include <stddef.h>    /* for size_t */
 #include <limits.h>
 
 /* Instantiated by configure. */
 #if ! defined (__GMP_WITHIN_CONFIGURE)
 /* #undef _LONG_LONG_LIMB */
 #define __GMP_LIBGMP_DLL  0
 #endif
 
 
 /* __GMP_DECLSPEC supports Windows DLL versions of libgmp, and is empty in
    all other circumstances.
 
    When compiling objects for libgmp, __GMP_DECLSPEC is an export directive,
    or when compiling for an application it's an import directive.  The two
    cases are differentiated by __GMP_WITHIN_GMP defined by the GMP Makefiles
    (and not defined from an application).
 
    __GMP_DECLSPEC_XX is similarly used for libgmpxx.  __GMP_WITHIN_GMPXX
    indicates when building libgmpxx, and in that case libgmpxx functions are
    exports, but libgmp functions which might get called are imports.
 
    Libtool DLL_EXPORT define is not used.
 
    There's no attempt to support GMP built both static and DLL.  Doing so
    would mean applications would have to tell us which of the two is going
    to be used when linking, and that seems very tedious and error prone if
    using GMP by hand, and equally tedious from a package since autoconf and
    automake don't give much help.
 
    __GMP_DECLSPEC is required on all documented global functions and
    variables, the various internals in gmp-impl.h etc can be left unadorned.
    But internals used by the test programs or speed measuring programs
    should have __GMP_DECLSPEC, and certainly constants or variables must
    have it or the wrong address will be resolved.
 
    In gcc __declspec can go at either the start or end of a prototype.
 
    In Microsoft C __declspec must go at the start, or after the type like
    void __declspec(...) *foo()".  There's no __dllexport or anything to
    guard against someone foolish #defining dllexport.  _export used to be
    available, but no longer.
 
    In Borland C _export still exists, but needs to go after the type, like
    "void _export foo();".  Would have to change the __GMP_DECLSPEC syntax to
    make use of that.  Probably more trouble than it's worth.  */
 
 #if defined (__GNUC__)
 #define __GMP_DECLSPEC_EXPORT  __declspec(__dllexport__)
 #define __GMP_DECLSPEC_IMPORT  __declspec(__dllimport__)
 #endif
 #if defined (_MSC_VER) || defined (__BORLANDC__)
 #define __GMP_DECLSPEC_EXPORT  __declspec(dllexport)
 #define __GMP_DECLSPEC_IMPORT  __declspec(dllimport)
 #endif
 #ifdef __WATCOMC__
 #define __GMP_DECLSPEC_EXPORT  __export
 #define __GMP_DECLSPEC_IMPORT  __import
 #endif
 #ifdef __IBMC__
 #define __GMP_DECLSPEC_EXPORT  _Export
 #define __GMP_DECLSPEC_IMPORT  _Import
 #endif
 
 #if __GMP_LIBGMP_DLL
 #ifdef __GMP_WITHIN_GMP
 /* compiling to go into a DLL libgmp */
 #define __GMP_DECLSPEC  __GMP_DECLSPEC_EXPORT
 #else
 /* compiling to go into an application which will link to a DLL libgmp */
 #define __GMP_DECLSPEC  __GMP_DECLSPEC_IMPORT
 #endif
 #else
 /* all other cases */
 #define __GMP_DECLSPEC
 #endif
 
 
 #ifdef __GMP_SHORT_LIMB
 typedef unsigned int        mp_limb_t;
 typedef int         mp_limb_signed_t;
 #else
 #ifdef _LONG_LONG_LIMB
 typedef unsigned long long int  mp_limb_t;
 typedef long long int       mp_limb_signed_t;
 #else
 typedef unsigned long int   mp_limb_t;
 typedef long int        mp_limb_signed_t;
 #endif
 #endif
 typedef unsigned long int   mp_bitcnt_t;
 
 /* For reference, note that the name __mpz_struct gets into C++ mangled
    function names, which means although the "__" suggests an internal, we
    must leave this name for binary compatibility.  */
 typedef struct
 {
   int _mp_alloc;        /* Number of *limbs* allocated and pointed
                    to by the _mp_d field.  */
   int _mp_size;         /* abs(_mp_size) is the number of limbs the
                    last field points to.  If _mp_size is
                    negative this is a negative number.  */
   mp_limb_t *_mp_d;     /* Pointer to the limbs.  */
 } __mpz_struct;
 
 #endif /* __GNU_MP__ */
 
 
 typedef __mpz_struct MP_INT;    /* gmp 1 source compatibility */
 typedef __mpz_struct mpz_t[1];
 
 typedef mp_limb_t *     mp_ptr;
 typedef const mp_limb_t *   mp_srcptr;
 #if defined (_CRAY) && ! defined (_CRAYMPP)
 /* plain `int' is much faster (48 bits) */
 #define __GMP_MP_SIZE_T_INT     1
 typedef int         mp_size_t;
 typedef int         mp_exp_t;
 #else
 #define __GMP_MP_SIZE_T_INT     0
 typedef long int        mp_size_t;
 typedef long int        mp_exp_t;
 #endif
 
 typedef struct
 {
   __mpz_struct _mp_num;
   __mpz_struct _mp_den;
 } __mpq_struct;
 
 typedef __mpq_struct MP_RAT;    /* gmp 1 source compatibility */
 typedef __mpq_struct mpq_t[1];
 
 typedef struct
 {
   int _mp_prec;         /* Max precision, in number of `mp_limb_t's.
                    Set by mpf_init and modified by
                    mpf_set_prec.  The area pointed to by the
                    _mp_d field contains `prec' + 1 limbs.  */
   int _mp_size;         /* abs(_mp_size) is the number of limbs the
                    last field points to.  If _mp_size is
                    negative this is a negative number.  */
   mp_exp_t _mp_exp;     /* Exponent, in the base of `mp_limb_t'.  */
   mp_limb_t *_mp_d;     /* Pointer to the limbs.  */
 } __mpf_struct;
 
 /* typedef __mpf_struct MP_FLOAT; */
 typedef __mpf_struct mpf_t[1];
 
 /* Available random number generation algorithms.  */
 typedef enum
 {
   GMP_RAND_ALG_DEFAULT = 0,
   GMP_RAND_ALG_LC = GMP_RAND_ALG_DEFAULT /* Linear congruential.  */
 } gmp_randalg_t;
 
 /* Random state struct.  */
 typedef struct
 {
   mpz_t _mp_seed;     /* _mp_d member points to state of the generator. */
   gmp_randalg_t _mp_alg;  /* Currently unused. */
   union {
     void *_mp_lc;         /* Pointer to function pointers structure.  */
   } _mp_algdata;
 } __gmp_randstate_struct;
 typedef __gmp_randstate_struct gmp_randstate_t[1];
 
 /* Types for function declarations in gmp files.  */
 /* ??? Should not pollute user name space with these ??? */
 typedef const __mpz_struct *mpz_srcptr;
 typedef __mpz_struct *mpz_ptr;
 typedef const __mpf_struct *mpf_srcptr;
 typedef __mpf_struct *mpf_ptr;
 typedef const __mpq_struct *mpq_srcptr;
 typedef __mpq_struct *mpq_ptr;
 typedef __gmp_randstate_struct *gmp_randstate_ptr;
 typedef const __gmp_randstate_struct *gmp_randstate_srcptr;
 
 
 #if __GMP_LIBGMP_DLL
 #ifdef __GMP_WITHIN_GMPXX
 /* compiling to go into a DLL libgmpxx */
 #define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_EXPORT
 #else
 /* compiling to go into a application which will link to a DLL libgmpxx */
 #define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_IMPORT
 #endif
 #else
 /* all other cases */
 #define __GMP_DECLSPEC_XX
 #endif
 
 
 #ifndef __MPN
 #define __MPN(x) __gmpn_##x
 #endif
 
 /* For reference, "defined(EOF)" cannot be used here.  In g++ 2.95.4,
    <iostream> defines EOF but not FILE.  */
 #if defined (FILE)                                              \
   || defined (H_STDIO)                                          \
   || defined (_H_STDIO)               /* AIX */                 \
   || defined (_STDIO_H)               /* glibc, Sun, SCO */     \
   || defined (_STDIO_H_)              /* BSD, OSF */            \
   || defined (__STDIO_H)              /* Borland */             \
   || defined (__STDIO_H__)            /* IRIX */                \
   || defined (_STDIO_INCLUDED)        /* HPUX */                \
   || defined (__dj_include_stdio_h_)  /* DJGPP */               \
   || defined (_FILE_DEFINED)          /* Microsoft */           \
   || defined (__STDIO__)              /* Apple MPW MrC */       \
   || defined (_MSL_STDIO_H)           /* Metrowerks */          \
   || defined (_STDIO_H_INCLUDED)      /* QNX4 */        \
   || defined (_ISO_STDIO_ISO_H)       /* Sun C++ */     \
   || defined (__STDIO_LOADED)         /* VMS */         \
   || defined (_STDIO)                 /* HPE NonStop */         \
   || defined (__DEFINED_FILE)         /* musl */
 #define _GMP_H_HAVE_FILE 1
 #endif
 
 /* In ISO C, if a prototype involving "struct obstack *" is given without
    that structure defined, then the struct is scoped down to just the
    prototype, causing a conflict if it's subsequently defined for real.  So
    only give prototypes if we've got obstack.h.  */
 #if defined (_OBSTACK_H)   /* glibc <obstack.h> */
 #define _GMP_H_HAVE_OBSTACK 1
 #endif
 
 /* The prototypes for gmp_vprintf etc are provided only if va_list is defined,
    via an application having included <stdarg.h>.  Usually va_list is a typedef
    so can't be tested directly, but C99 specifies that va_start is a macro.
 
    <stdio.h> will define some sort of va_list for vprintf and vfprintf, but
    let's not bother trying to use that since it's not standard and since
    application uses for gmp_vprintf etc will almost certainly require the
    whole <stdarg.h> anyway.  */
 
 #ifdef va_start
 #define _GMP_H_HAVE_VA_LIST 1
 #endif
 
 /* Test for gcc >= maj.min, as per __GNUC_PREREQ in glibc */
 #if defined (__GNUC__) && defined (__GNUC_MINOR__)
 #define __GMP_GNUC_PREREQ(maj, min) \
   ((__GNUC__ << 16) + __GNUC_MINOR__ >= ((maj) << 16) + (min))
 #else
 #define __GMP_GNUC_PREREQ(maj, min)  0
 #endif
 
 /* "pure" is in gcc 2.96 and up, see "(gcc)Function Attributes".  Basically
    it means a function does nothing but examine its arguments and memory
    (global or via arguments) to generate a return value, but changes nothing
    and has no side-effects.  __GMP_NO_ATTRIBUTE_CONST_PURE lets
    tune/common.c etc turn this off when trying to write timing loops.  */
 #if __GMP_GNUC_PREREQ (2,96) && ! defined (__GMP_NO_ATTRIBUTE_CONST_PURE)
 #define __GMP_ATTRIBUTE_PURE   __attribute__ ((__pure__))
 #else
 #define __GMP_ATTRIBUTE_PURE
 #endif
 
 
 /* __GMP_CAST allows us to use static_cast in C++, so our macros are clean
    to "g++ -Wold-style-cast".
 
    Casts in "extern inline" code within an extern "C" block don't induce
    these warnings, so __GMP_CAST only needs to be used on documented
    macros.  */
 
 #ifdef __cplusplus
 #define __GMP_CAST(type, expr)  (static_cast<type> (expr))
 #else
 #define __GMP_CAST(type, expr)  ((type) (expr))
 #endif
 
 
 /* An empty "throw ()" means the function doesn't throw any C++ exceptions,
    this can save some stack frame info in applications.
 
    Currently it's given only on functions which never divide-by-zero etc,
    don't allocate memory, and are expected to never need to allocate memory.
    This leaves open the possibility of a C++ throw from a future GMP
    exceptions scheme.
 
    mpz_set_ui etc are omitted to leave open the lazy allocation scheme
    described in doc/tasks.html.  mpz_get_d etc are omitted to leave open
    exceptions for float overflows.
 
    Note that __GMP_NOTHROW must be given on any inlines the same as on their
    prototypes (for g++ at least, where they're used together).  Note also
    that g++ 3.0 demands that __GMP_NOTHROW is before other attributes like
    __GMP_ATTRIBUTE_PURE.  */
 
 #if defined (__cplusplus)
 #if __cplusplus >= 201103L
 #define __GMP_NOTHROW  noexcept
 #else
 #define __GMP_NOTHROW  throw ()
 #endif
 #else
 #define __GMP_NOTHROW
 #endif
 
 
 /* PORTME: What other compilers have a useful "extern inline"?  "static
    inline" would be an acceptable substitute if the compiler (or linker)
    discards unused statics.  */
 
  /* gcc has __inline__ in all modes, including strict ansi.  Give a prototype
     for an inline too, so as to correctly specify "dllimport" on windows, in
     case the function is called rather than inlined.
     GCC 4.3 and above with -std=c99 or -std=gnu99 implements ISO C99
     inline semantics, unless -fgnu89-inline is used.  */
 #ifdef __GNUC__
 #if (defined __GNUC_STDC_INLINE__) || (__GNUC__ == 4 && __GNUC_MINOR__ == 2) \
   || (defined __GNUC_GNU_INLINE__ && defined __cplusplus)
 #define __GMP_EXTERN_INLINE extern __inline__ __attribute__ ((__gnu_inline__))
 #else
 #define __GMP_EXTERN_INLINE      extern __inline__
 #endif
 #define __GMP_INLINE_PROTOTYPES  1
 #endif
 
 /* DEC C (eg. version 5.9) supports "static __inline foo()", even in -std1
    strict ANSI mode.  Inlining is done even when not optimizing (ie. -O0
    mode, which is the default), but an unnecessary local copy of foo is
    emitted unless -O is used.  "extern __inline" is accepted, but the
    "extern" appears to be ignored, ie. it becomes a plain global function
    but which is inlined within its file.  Don't know if all old versions of
    DEC C supported __inline, but as a start let's do the right thing for
    current versions.  */
 #ifdef __DECC
 #define __GMP_EXTERN_INLINE  static __inline
 #endif
 
 /* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict
    ANSI mode (__STDC__ is 1 in that mode).  Inlining only actually takes
    place under -O.  Without -O "foo" seems to be emitted whether it's used
    or not, which is wasteful.  "extern inline foo()" isn't useful, the
    "extern" is apparently ignored, so foo is inlined if possible but also
    emitted as a global, which causes multiple definition errors when
    building a shared libgmp.  */
 #ifdef __SCO_VERSION__
 #if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
   && ! defined (__GMP_EXTERN_INLINE)
 #define __GMP_EXTERN_INLINE  static inline
 #endif
 #endif
 
 /* Microsoft's C compiler accepts __inline */
 #ifdef _MSC_VER
 #define __GMP_EXTERN_INLINE  __inline
 #endif
 
 /* Recent enough Sun C compilers want "inline" */
 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x560 \
   && ! defined (__GMP_EXTERN_INLINE)
 #define __GMP_EXTERN_INLINE  inline
 #endif
 
 /* Somewhat older Sun C compilers want "static inline" */
 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x540 \
   && ! defined (__GMP_EXTERN_INLINE)
 #define __GMP_EXTERN_INLINE  static inline
 #endif
 
 
 /* C++ always has "inline" and since it's a normal feature the linker should
    discard duplicate non-inlined copies, or if it doesn't then that's a
    problem for everyone, not just GMP.  */
 #if defined (__cplusplus) && ! defined (__GMP_EXTERN_INLINE)
 #define __GMP_EXTERN_INLINE  inline
 #endif
 
 /* Don't do any inlining within a configure run, since if the compiler ends
    up emitting copies of the code into the object file it can end up
    demanding the various support routines (like mpn_popcount) for linking,
    making the "alloca" test and perhaps others fail.  And on hppa ia64 a
    pre-release gcc 3.2 was seen not respecting the "extern" in "extern
    __inline__", triggering this problem too.  */
 #if defined (__GMP_WITHIN_CONFIGURE) && ! __GMP_WITHIN_CONFIGURE_INLINE
 #undef __GMP_EXTERN_INLINE
 #endif
 
 /* By default, don't give a prototype when there's going to be an inline
    version.  Note in particular that Cray C++ objects to the combination of
    prototype and inline.  */
 #ifdef __GMP_EXTERN_INLINE
 #ifndef __GMP_INLINE_PROTOTYPES
 #define __GMP_INLINE_PROTOTYPES  0
 #endif
 #else
 #define __GMP_INLINE_PROTOTYPES  1
 #endif
 
 
 #define __GMP_ABS(x)   ((x) >= 0 ? (x) : -(x))
 #define __GMP_MAX(h,i) ((h) > (i) ? (h) : (i))
 
 
 /* __builtin_expect is in gcc 3.0, and not in 2.95. */
 #if __GMP_GNUC_PREREQ (3,0)
 #define __GMP_LIKELY(cond)    __builtin_expect ((cond) != 0, 1)
 #define __GMP_UNLIKELY(cond)  __builtin_expect ((cond) != 0, 0)
 #else
 #define __GMP_LIKELY(cond)    (cond)
 #define __GMP_UNLIKELY(cond)  (cond)
 #endif
 
 #ifdef _CRAY
 #define __GMP_CRAY_Pragma(str)  _Pragma (str)
 #else
 #define __GMP_CRAY_Pragma(str)
 #endif
 
 
 /* Allow direct user access to numerator and denominator of an mpq_t object.  */
 #define mpq_numref(Q) (&((Q)->_mp_num))
 #define mpq_denref(Q) (&((Q)->_mp_den))
 
 
 #if defined (__cplusplus)
 extern "C" {
 using std::FILE;
 #endif
 
 #define mp_set_memory_functions __gmp_set_memory_functions
 __GMP_DECLSPEC void mp_set_memory_functions (void *(*) (size_t),
                       void *(*) (void *, size_t, size_t),
                       void (*) (void *, size_t)) __GMP_NOTHROW;
 
 #define mp_get_memory_functions __gmp_get_memory_functions
 __GMP_DECLSPEC void mp_get_memory_functions (void *(**) (size_t),
                       void *(**) (void *, size_t, size_t),
                       void (**) (void *, size_t)) __GMP_NOTHROW;
 
 #define mp_bits_per_limb __gmp_bits_per_limb
 __GMP_DECLSPEC extern const int mp_bits_per_limb;
 
 #define gmp_errno __gmp_errno
 __GMP_DECLSPEC extern int gmp_errno;
 
 #define gmp_version __gmp_version
 __GMP_DECLSPEC extern const char * const gmp_version;
 
 
 /**************** Random number routines.  ****************/
 
 /* obsolete */
 #define gmp_randinit __gmp_randinit
 __GMP_DECLSPEC void gmp_randinit (gmp_randstate_ptr, gmp_randalg_t, ...);
 
 #define gmp_randinit_default __gmp_randinit_default
 __GMP_DECLSPEC void gmp_randinit_default (gmp_randstate_ptr);
 
 #define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
 __GMP_DECLSPEC void gmp_randinit_lc_2exp (gmp_randstate_ptr, mpz_srcptr, unsigned long int, mp_bitcnt_t);
 
 #define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size
 __GMP_DECLSPEC int gmp_randinit_lc_2exp_size (gmp_randstate_ptr, mp_bitcnt_t);
 
 #define gmp_randinit_mt __gmp_randinit_mt
 __GMP_DECLSPEC void gmp_randinit_mt (gmp_randstate_ptr);
 
 #define gmp_randinit_set __gmp_randinit_set
 __GMP_DECLSPEC void gmp_randinit_set (gmp_randstate_ptr, gmp_randstate_srcptr);
 
 #define gmp_randseed __gmp_randseed
 __GMP_DECLSPEC void gmp_randseed (gmp_randstate_ptr, mpz_srcptr);
 
 #define gmp_randseed_ui __gmp_randseed_ui
 __GMP_DECLSPEC void gmp_randseed_ui (gmp_randstate_ptr, unsigned long int);
 
 #define gmp_randclear __gmp_randclear
 __GMP_DECLSPEC void gmp_randclear (gmp_randstate_ptr);
 
 #define gmp_urandomb_ui __gmp_urandomb_ui
 __GMP_DECLSPEC unsigned long gmp_urandomb_ui (gmp_randstate_ptr, unsigned long);
 
 #define gmp_urandomm_ui __gmp_urandomm_ui
 __GMP_DECLSPEC unsigned long gmp_urandomm_ui (gmp_randstate_ptr, unsigned long);
 
 
 /**************** Formatted output routines.  ****************/
 
 #define gmp_asprintf __gmp_asprintf
 __GMP_DECLSPEC int gmp_asprintf (char **, const char *, ...);
 
 #define gmp_fprintf __gmp_fprintf
 #ifdef _GMP_H_HAVE_FILE
 __GMP_DECLSPEC int gmp_fprintf (FILE *, const char *, ...);
 #endif
 
 #define gmp_obstack_printf __gmp_obstack_printf
 #if defined (_GMP_H_HAVE_OBSTACK)
 __GMP_DECLSPEC int gmp_obstack_printf (struct obstack *, const char *, ...);
 #endif
 
 #define gmp_obstack_vprintf __gmp_obstack_vprintf
 #if defined (_GMP_H_HAVE_OBSTACK) && defined (_GMP_H_HAVE_VA_LIST)
 __GMP_DECLSPEC int gmp_obstack_vprintf (struct obstack *, const char *, va_list);
 #endif
 
 #define gmp_printf __gmp_printf
 __GMP_DECLSPEC int gmp_printf (const char *, ...);
 
 #define gmp_snprintf __gmp_snprintf
 __GMP_DECLSPEC int gmp_snprintf (char *, size_t, const char *, ...);
 
 #define gmp_sprintf __gmp_sprintf
 __GMP_DECLSPEC int gmp_sprintf (char *, const char *, ...);
 
 #define gmp_vasprintf __gmp_vasprintf
 #if defined (_GMP_H_HAVE_VA_LIST)
 __GMP_DECLSPEC int gmp_vasprintf (char **, const char *, va_list);
 #endif
 
 #define gmp_vfprintf __gmp_vfprintf
 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
 __GMP_DECLSPEC int gmp_vfprintf (FILE *, const char *, va_list);
 #endif
 
 #define gmp_vprintf __gmp_vprintf
 #if defined (_GMP_H_HAVE_VA_LIST)
 __GMP_DECLSPEC int gmp_vprintf (const char *, va_list);
 #endif
 
 #define gmp_vsnprintf __gmp_vsnprintf
 #if defined (_GMP_H_HAVE_VA_LIST)
 __GMP_DECLSPEC int gmp_vsnprintf (char *, size_t, const char *, va_list);
 #endif
 
 #define gmp_vsprintf __gmp_vsprintf
 #if defined (_GMP_H_HAVE_VA_LIST)
 __GMP_DECLSPEC int gmp_vsprintf (char *, const char *, va_list);
 #endif
 
 
 /**************** Formatted input routines.  ****************/
 
 #define gmp_fscanf __gmp_fscanf
 #ifdef _GMP_H_HAVE_FILE
 __GMP_DECLSPEC int gmp_fscanf (FILE *, const char *, ...);
 #endif
 
 #define gmp_scanf __gmp_scanf
 __GMP_DECLSPEC int gmp_scanf (const char *, ...);
 
 #define gmp_sscanf __gmp_sscanf
 __GMP_DECLSPEC int gmp_sscanf (const char *, const char *, ...);
 
 #define gmp_vfscanf __gmp_vfscanf
 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
 __GMP_DECLSPEC int gmp_vfscanf (FILE *, const char *, va_list);
 #endif
 
 #define gmp_vscanf __gmp_vscanf
 #if defined (_GMP_H_HAVE_VA_LIST)
 __GMP_DECLSPEC int gmp_vscanf (const char *, va_list);
 #endif
 
 #define gmp_vsscanf __gmp_vsscanf
 #if defined (_GMP_H_HAVE_VA_LIST)
 __GMP_DECLSPEC int gmp_vsscanf (const char *, const char *, va_list);
 #endif
 
 
 /**************** Integer (i.e. Z) routines.  ****************/
 
 #define _mpz_realloc __gmpz_realloc
 #define mpz_realloc __gmpz_realloc
 __GMP_DECLSPEC void *_mpz_realloc (mpz_ptr, mp_size_t);
 
 #define mpz_abs __gmpz_abs
 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs)
 __GMP_DECLSPEC void mpz_abs (mpz_ptr, mpz_srcptr);
 #endif
 
 #define mpz_add __gmpz_add
 __GMP_DECLSPEC void mpz_add (mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_add_ui __gmpz_add_ui
 __GMP_DECLSPEC void mpz_add_ui (mpz_ptr, mpz_srcptr, unsigned long int);
 
 #define mpz_addmul __gmpz_addmul
 __GMP_DECLSPEC void mpz_addmul (mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_addmul_ui __gmpz_addmul_ui
 __GMP_DECLSPEC void mpz_addmul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
 
 #define mpz_and __gmpz_and
 __GMP_DECLSPEC void mpz_and (mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_array_init __gmpz_array_init
 __GMP_DECLSPEC void mpz_array_init (mpz_ptr, mp_size_t, mp_size_t);
 
 #define mpz_bin_ui __gmpz_bin_ui
 __GMP_DECLSPEC void mpz_bin_ui (mpz_ptr, mpz_srcptr, unsigned long int);
 
 #define mpz_bin_uiui __gmpz_bin_uiui
 __GMP_DECLSPEC void mpz_bin_uiui (mpz_ptr, unsigned long int, unsigned long int);
 
 #define mpz_cdiv_q __gmpz_cdiv_q
 __GMP_DECLSPEC void mpz_cdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
 __GMP_DECLSPEC void mpz_cdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
 
 #define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
 __GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
 
 #define mpz_cdiv_qr __gmpz_cdiv_qr
 __GMP_DECLSPEC void mpz_cdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
 __GMP_DECLSPEC unsigned long int mpz_cdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
 
 #define mpz_cdiv_r __gmpz_cdiv_r
 __GMP_DECLSPEC void mpz_cdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
 __GMP_DECLSPEC void mpz_cdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
 
 #define mpz_cdiv_r_ui __gmpz_cdiv_r_ui
 __GMP_DECLSPEC unsigned long int mpz_cdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
 
 #define mpz_cdiv_ui __gmpz_cdiv_ui
 __GMP_DECLSPEC unsigned long int mpz_cdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
 
 #define mpz_clear __gmpz_clear
 __GMP_DECLSPEC void mpz_clear (mpz_ptr);
 
 #define mpz_clears __gmpz_clears
 __GMP_DECLSPEC void mpz_clears (mpz_ptr, ...);
 
 #define mpz_clrbit __gmpz_clrbit
 __GMP_DECLSPEC void mpz_clrbit (mpz_ptr, mp_bitcnt_t);
 
 #define mpz_cmp __gmpz_cmp
 __GMP_DECLSPEC int mpz_cmp (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpz_cmp_d __gmpz_cmp_d
 __GMP_DECLSPEC int mpz_cmp_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
 
 #define _mpz_cmp_si __gmpz_cmp_si
 __GMP_DECLSPEC int _mpz_cmp_si (mpz_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define _mpz_cmp_ui __gmpz_cmp_ui
 __GMP_DECLSPEC int _mpz_cmp_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpz_cmpabs __gmpz_cmpabs
 __GMP_DECLSPEC int mpz_cmpabs (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpz_cmpabs_d __gmpz_cmpabs_d
 __GMP_DECLSPEC int mpz_cmpabs_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
 
 #define mpz_cmpabs_ui __gmpz_cmpabs_ui
 __GMP_DECLSPEC int mpz_cmpabs_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpz_com __gmpz_com
 __GMP_DECLSPEC void mpz_com (mpz_ptr, mpz_srcptr);
 
 #define mpz_combit __gmpz_combit
 __GMP_DECLSPEC void mpz_combit (mpz_ptr, mp_bitcnt_t);
 
 #define mpz_congruent_p __gmpz_congruent_p
 __GMP_DECLSPEC int mpz_congruent_p (mpz_srcptr, mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
 
 #define mpz_congruent_2exp_p __gmpz_congruent_2exp_p
 __GMP_DECLSPEC int mpz_congruent_2exp_p (mpz_srcptr, mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpz_congruent_ui_p __gmpz_congruent_ui_p
 __GMP_DECLSPEC int mpz_congruent_ui_p (mpz_srcptr, unsigned long, unsigned long) __GMP_ATTRIBUTE_PURE;
 
 #define mpz_divexact __gmpz_divexact
 __GMP_DECLSPEC void mpz_divexact (mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_divexact_ui __gmpz_divexact_ui
 __GMP_DECLSPEC void mpz_divexact_ui (mpz_ptr, mpz_srcptr, unsigned long);
 
 #define mpz_divisible_p __gmpz_divisible_p
 __GMP_DECLSPEC int mpz_divisible_p (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
 
 #define mpz_divisible_ui_p __gmpz_divisible_ui_p
 __GMP_DECLSPEC int mpz_divisible_ui_p (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
 
 #define mpz_divisible_2exp_p __gmpz_divisible_2exp_p
 __GMP_DECLSPEC int mpz_divisible_2exp_p (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpz_dump __gmpz_dump
 __GMP_DECLSPEC void mpz_dump (mpz_srcptr);
 
 #define mpz_export __gmpz_export
 __GMP_DECLSPEC void *mpz_export (void *, size_t *, int, size_t, int, size_t, mpz_srcptr);
 
 #define mpz_fac_ui __gmpz_fac_ui
 __GMP_DECLSPEC void mpz_fac_ui (mpz_ptr, unsigned long int);
 
 #define mpz_2fac_ui __gmpz_2fac_ui
 __GMP_DECLSPEC void mpz_2fac_ui (mpz_ptr, unsigned long int);
 
 #define mpz_mfac_uiui __gmpz_mfac_uiui
 __GMP_DECLSPEC void mpz_mfac_uiui (mpz_ptr, unsigned long int, unsigned long int);
 
 #define mpz_primorial_ui __gmpz_primorial_ui
 __GMP_DECLSPEC void mpz_primorial_ui (mpz_ptr, unsigned long int);
 
 #define mpz_fdiv_q __gmpz_fdiv_q
 __GMP_DECLSPEC void mpz_fdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
 __GMP_DECLSPEC void mpz_fdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
 
 #define mpz_fdiv_q_ui __gmpz_fdiv_q_ui
 __GMP_DECLSPEC unsigned long int mpz_fdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
 
 #define mpz_fdiv_qr __gmpz_fdiv_qr
 __GMP_DECLSPEC void mpz_fdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui
 __GMP_DECLSPEC unsigned long int mpz_fdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
 
 #define mpz_fdiv_r __gmpz_fdiv_r
 __GMP_DECLSPEC void mpz_fdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
 __GMP_DECLSPEC void mpz_fdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
 
 #define mpz_fdiv_r_ui __gmpz_fdiv_r_ui
 __GMP_DECLSPEC unsigned long int mpz_fdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
 
 #define mpz_fdiv_ui __gmpz_fdiv_ui
 __GMP_DECLSPEC unsigned long int mpz_fdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
 
 #define mpz_fib_ui __gmpz_fib_ui
 __GMP_DECLSPEC void mpz_fib_ui (mpz_ptr, unsigned long int);
 
 #define mpz_fib2_ui __gmpz_fib2_ui
 __GMP_DECLSPEC void mpz_fib2_ui (mpz_ptr, mpz_ptr, unsigned long int);
 
 #define mpz_fits_sint_p __gmpz_fits_sint_p
 __GMP_DECLSPEC int mpz_fits_sint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpz_fits_slong_p __gmpz_fits_slong_p
 __GMP_DECLSPEC int mpz_fits_slong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpz_fits_sshort_p __gmpz_fits_sshort_p
 __GMP_DECLSPEC int mpz_fits_sshort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpz_fits_uint_p __gmpz_fits_uint_p
 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_uint_p)
 __GMP_DECLSPEC int mpz_fits_uint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 #endif
 
 #define mpz_fits_ulong_p __gmpz_fits_ulong_p
 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ulong_p)
 __GMP_DECLSPEC int mpz_fits_ulong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 #endif
 
 #define mpz_fits_ushort_p __gmpz_fits_ushort_p
 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ushort_p)
 __GMP_DECLSPEC int mpz_fits_ushort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 #endif
 
 #define mpz_gcd __gmpz_gcd
 __GMP_DECLSPEC void mpz_gcd (mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_gcd_ui __gmpz_gcd_ui
 __GMP_DECLSPEC unsigned long int mpz_gcd_ui (mpz_ptr, mpz_srcptr, unsigned long int);
 
 #define mpz_gcdext __gmpz_gcdext
 __GMP_DECLSPEC void mpz_gcdext (mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_get_d __gmpz_get_d
 __GMP_DECLSPEC double mpz_get_d (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
 
 #define mpz_get_d_2exp __gmpz_get_d_2exp
 __GMP_DECLSPEC double mpz_get_d_2exp (signed long int *, mpz_srcptr);
 
 #define mpz_get_si __gmpz_get_si
 __GMP_DECLSPEC /* signed */ long int mpz_get_si (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpz_get_str __gmpz_get_str
 __GMP_DECLSPEC char *mpz_get_str (char *, int, mpz_srcptr);
 
 #define mpz_get_ui __gmpz_get_ui
 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_get_ui)
 __GMP_DECLSPEC unsigned long int mpz_get_ui (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 #endif
 
 #define mpz_getlimbn __gmpz_getlimbn
 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_getlimbn)
 __GMP_DECLSPEC mp_limb_t mpz_getlimbn (mpz_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 #endif
 
 #define mpz_hamdist __gmpz_hamdist
 __GMP_DECLSPEC mp_bitcnt_t mpz_hamdist (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpz_import __gmpz_import
 __GMP_DECLSPEC void mpz_import (mpz_ptr, size_t, int, size_t, int, size_t, const void *);
 
 #define mpz_init __gmpz_init
 __GMP_DECLSPEC void mpz_init (mpz_ptr) __GMP_NOTHROW;
 
 #define mpz_init2 __gmpz_init2
 __GMP_DECLSPEC void mpz_init2 (mpz_ptr, mp_bitcnt_t);
 
 #define mpz_inits __gmpz_inits
 __GMP_DECLSPEC void mpz_inits (mpz_ptr, ...) __GMP_NOTHROW;
 
 #define mpz_init_set __gmpz_init_set
 __GMP_DECLSPEC void mpz_init_set (mpz_ptr, mpz_srcptr);
 
 #define mpz_init_set_d __gmpz_init_set_d
 __GMP_DECLSPEC void mpz_init_set_d (mpz_ptr, double);
 
 #define mpz_init_set_si __gmpz_init_set_si
 __GMP_DECLSPEC void mpz_init_set_si (mpz_ptr, signed long int);
 
 #define mpz_init_set_str __gmpz_init_set_str
 __GMP_DECLSPEC int mpz_init_set_str (mpz_ptr, const char *, int);
 
 #define mpz_init_set_ui __gmpz_init_set_ui
 __GMP_DECLSPEC void mpz_init_set_ui (mpz_ptr, unsigned long int);
 
 #define mpz_inp_raw __gmpz_inp_raw
 #ifdef _GMP_H_HAVE_FILE
 __GMP_DECLSPEC size_t mpz_inp_raw (mpz_ptr, FILE *);
 #endif
 
 #define mpz_inp_str __gmpz_inp_str
 #ifdef _GMP_H_HAVE_FILE
 __GMP_DECLSPEC size_t mpz_inp_str (mpz_ptr, FILE *, int);
 #endif
 
 #define mpz_invert __gmpz_invert
 __GMP_DECLSPEC int mpz_invert (mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_ior __gmpz_ior
 __GMP_DECLSPEC void mpz_ior (mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_jacobi __gmpz_jacobi
 __GMP_DECLSPEC int mpz_jacobi (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
 
 #define mpz_kronecker mpz_jacobi  /* alias */
 
 #define mpz_kronecker_si __gmpz_kronecker_si
 __GMP_DECLSPEC int mpz_kronecker_si (mpz_srcptr, long) __GMP_ATTRIBUTE_PURE;
 
 #define mpz_kronecker_ui __gmpz_kronecker_ui
 __GMP_DECLSPEC int mpz_kronecker_ui (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
 
 #define mpz_si_kronecker __gmpz_si_kronecker
 __GMP_DECLSPEC int mpz_si_kronecker (long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
 
 #define mpz_ui_kronecker __gmpz_ui_kronecker
 __GMP_DECLSPEC int mpz_ui_kronecker (unsigned long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
 
 #define mpz_lcm __gmpz_lcm
 __GMP_DECLSPEC void mpz_lcm (mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_lcm_ui __gmpz_lcm_ui
 __GMP_DECLSPEC void mpz_lcm_ui (mpz_ptr, mpz_srcptr, unsigned long);
 
 #define mpz_legendre mpz_jacobi  /* alias */
 
 #define mpz_lucnum_ui __gmpz_lucnum_ui
 __GMP_DECLSPEC void mpz_lucnum_ui (mpz_ptr, unsigned long int);
 
 #define mpz_lucnum2_ui __gmpz_lucnum2_ui
 __GMP_DECLSPEC void mpz_lucnum2_ui (mpz_ptr, mpz_ptr, unsigned long int);
 
 #define mpz_millerrabin __gmpz_millerrabin
 __GMP_DECLSPEC int mpz_millerrabin (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
 
 #define mpz_mod __gmpz_mod
 __GMP_DECLSPEC void mpz_mod (mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_mod_ui mpz_fdiv_r_ui /* same as fdiv_r because divisor unsigned */
 
 #define mpz_mul __gmpz_mul
 __GMP_DECLSPEC void mpz_mul (mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_mul_2exp __gmpz_mul_2exp
 __GMP_DECLSPEC void mpz_mul_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
 
 #define mpz_mul_si __gmpz_mul_si
 __GMP_DECLSPEC void mpz_mul_si (mpz_ptr, mpz_srcptr, long int);
 
 #define mpz_mul_ui __gmpz_mul_ui
 __GMP_DECLSPEC void mpz_mul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
 
 #define mpz_neg __gmpz_neg
 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_neg)
 __GMP_DECLSPEC void mpz_neg (mpz_ptr, mpz_srcptr);
 #endif
 
 #define mpz_nextprime __gmpz_nextprime
 __GMP_DECLSPEC void mpz_nextprime (mpz_ptr, mpz_srcptr);
 
 #define mpz_prevprime __gmpz_prevprime
 __GMP_DECLSPEC int mpz_prevprime (mpz_ptr, mpz_srcptr);
 
 #define mpz_out_raw __gmpz_out_raw
 #ifdef _GMP_H_HAVE_FILE
 __GMP_DECLSPEC size_t mpz_out_raw (FILE *, mpz_srcptr);
 #endif
 
 #define mpz_out_str __gmpz_out_str
 #ifdef _GMP_H_HAVE_FILE
 __GMP_DECLSPEC size_t mpz_out_str (FILE *, int, mpz_srcptr);
 #endif
 
 #define mpz_perfect_power_p __gmpz_perfect_power_p
 __GMP_DECLSPEC int mpz_perfect_power_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
 
 #define mpz_perfect_square_p __gmpz_perfect_square_p
 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_perfect_square_p)
 __GMP_DECLSPEC int mpz_perfect_square_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
 #endif
 
 #define mpz_popcount __gmpz_popcount
 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_popcount)
 __GMP_DECLSPEC mp_bitcnt_t mpz_popcount (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 #endif
 
 #define mpz_pow_ui __gmpz_pow_ui
 __GMP_DECLSPEC void mpz_pow_ui (mpz_ptr, mpz_srcptr, unsigned long int);
 
 #define mpz_powm __gmpz_powm
 __GMP_DECLSPEC void mpz_powm (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_powm_sec __gmpz_powm_sec
 __GMP_DECLSPEC void mpz_powm_sec (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_powm_ui __gmpz_powm_ui
 __GMP_DECLSPEC void mpz_powm_ui (mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr);
 
 #define mpz_probab_prime_p __gmpz_probab_prime_p
 __GMP_DECLSPEC int mpz_probab_prime_p (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
 
 #define mpz_random __gmpz_random
 __GMP_DECLSPEC void mpz_random (mpz_ptr, mp_size_t);
 
 #define mpz_random2 __gmpz_random2
 __GMP_DECLSPEC void mpz_random2 (mpz_ptr, mp_size_t);
 
 #define mpz_realloc2 __gmpz_realloc2
 __GMP_DECLSPEC void mpz_realloc2 (mpz_ptr, mp_bitcnt_t);
 
 #define mpz_remove __gmpz_remove
 __GMP_DECLSPEC mp_bitcnt_t mpz_remove (mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_root __gmpz_root
 __GMP_DECLSPEC int mpz_root (mpz_ptr, mpz_srcptr, unsigned long int);
 
 #define mpz_rootrem __gmpz_rootrem
 __GMP_DECLSPEC void mpz_rootrem (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
 
 #define mpz_rrandomb __gmpz_rrandomb
 __GMP_DECLSPEC void mpz_rrandomb (mpz_ptr, gmp_randstate_ptr, mp_bitcnt_t);
 
 #define mpz_scan0 __gmpz_scan0
 __GMP_DECLSPEC mp_bitcnt_t mpz_scan0 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpz_scan1 __gmpz_scan1
 __GMP_DECLSPEC mp_bitcnt_t mpz_scan1 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpz_set __gmpz_set
 __GMP_DECLSPEC void mpz_set (mpz_ptr, mpz_srcptr);
 
 #define mpz_set_d __gmpz_set_d
 __GMP_DECLSPEC void mpz_set_d (mpz_ptr, double);
 
 #define mpz_set_f __gmpz_set_f
 __GMP_DECLSPEC void mpz_set_f (mpz_ptr, mpf_srcptr);
 
 #define mpz_set_q __gmpz_set_q
 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_set_q)
 __GMP_DECLSPEC void mpz_set_q (mpz_ptr, mpq_srcptr);
 #endif
 
 #define mpz_set_si __gmpz_set_si
 __GMP_DECLSPEC void mpz_set_si (mpz_ptr, signed long int);
 
 #define mpz_set_str __gmpz_set_str
 __GMP_DECLSPEC int mpz_set_str (mpz_ptr, const char *, int);
 
 #define mpz_set_ui __gmpz_set_ui
 __GMP_DECLSPEC void mpz_set_ui (mpz_ptr, unsigned long int);
 
 #define mpz_setbit __gmpz_setbit
 __GMP_DECLSPEC void mpz_setbit (mpz_ptr, mp_bitcnt_t);
 
 #define mpz_size __gmpz_size
 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_size)
 __GMP_DECLSPEC size_t mpz_size (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 #endif
 
 #define mpz_sizeinbase __gmpz_sizeinbase
 __GMP_DECLSPEC size_t mpz_sizeinbase (mpz_srcptr, int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpz_sqrt __gmpz_sqrt
 __GMP_DECLSPEC void mpz_sqrt (mpz_ptr, mpz_srcptr);
 
 #define mpz_sqrtrem __gmpz_sqrtrem
 __GMP_DECLSPEC void mpz_sqrtrem (mpz_ptr, mpz_ptr, mpz_srcptr);
 
 #define mpz_sub __gmpz_sub
 __GMP_DECLSPEC void mpz_sub (mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_sub_ui __gmpz_sub_ui
 __GMP_DECLSPEC void mpz_sub_ui (mpz_ptr, mpz_srcptr, unsigned long int);
 
 #define mpz_ui_sub __gmpz_ui_sub
 __GMP_DECLSPEC void mpz_ui_sub (mpz_ptr, unsigned long int, mpz_srcptr);
 
 #define mpz_submul __gmpz_submul
 __GMP_DECLSPEC void mpz_submul (mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_submul_ui __gmpz_submul_ui
 __GMP_DECLSPEC void mpz_submul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
 
 #define mpz_swap __gmpz_swap
 __GMP_DECLSPEC void mpz_swap (mpz_ptr, mpz_ptr) __GMP_NOTHROW;
 
 #define mpz_tdiv_ui __gmpz_tdiv_ui
 __GMP_DECLSPEC unsigned long int mpz_tdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
 
 #define mpz_tdiv_q __gmpz_tdiv_q
 __GMP_DECLSPEC void mpz_tdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp
 __GMP_DECLSPEC void mpz_tdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
 
 #define mpz_tdiv_q_ui __gmpz_tdiv_q_ui
 __GMP_DECLSPEC unsigned long int mpz_tdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
 
 #define mpz_tdiv_qr __gmpz_tdiv_qr
 __GMP_DECLSPEC void mpz_tdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui
 __GMP_DECLSPEC unsigned long int mpz_tdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
 
 #define mpz_tdiv_r __gmpz_tdiv_r
 __GMP_DECLSPEC void mpz_tdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp
 __GMP_DECLSPEC void mpz_tdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
 
 #define mpz_tdiv_r_ui __gmpz_tdiv_r_ui
 __GMP_DECLSPEC unsigned long int mpz_tdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
 
 #define mpz_tstbit __gmpz_tstbit
 __GMP_DECLSPEC int mpz_tstbit (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpz_ui_pow_ui __gmpz_ui_pow_ui
 __GMP_DECLSPEC void mpz_ui_pow_ui (mpz_ptr, unsigned long int, unsigned long int);
 
 #define mpz_urandomb __gmpz_urandomb
 __GMP_DECLSPEC void mpz_urandomb (mpz_ptr, gmp_randstate_ptr, mp_bitcnt_t);
 
 #define mpz_urandomm __gmpz_urandomm
 __GMP_DECLSPEC void mpz_urandomm (mpz_ptr, gmp_randstate_ptr, mpz_srcptr);
 
 #define mpz_xor __gmpz_xor
 #define mpz_eor __gmpz_xor
 __GMP_DECLSPEC void mpz_xor (mpz_ptr, mpz_srcptr, mpz_srcptr);
 
 #define mpz_limbs_read __gmpz_limbs_read
 __GMP_DECLSPEC mp_srcptr mpz_limbs_read (mpz_srcptr);
 
 #define mpz_limbs_write __gmpz_limbs_write
 __GMP_DECLSPEC mp_ptr mpz_limbs_write (mpz_ptr, mp_size_t);
 
 #define mpz_limbs_modify __gmpz_limbs_modify
 __GMP_DECLSPEC mp_ptr mpz_limbs_modify (mpz_ptr, mp_size_t);
 
 #define mpz_limbs_finish __gmpz_limbs_finish
 __GMP_DECLSPEC void mpz_limbs_finish (mpz_ptr, mp_size_t);
 
 #define mpz_roinit_n __gmpz_roinit_n
 __GMP_DECLSPEC mpz_srcptr mpz_roinit_n (mpz_ptr, mp_srcptr, mp_size_t);
 
 #define MPZ_ROINIT_N(xp, xs) {{0, (xs),(xp) }}
 
 /**************** Rational (i.e. Q) routines.  ****************/
 
 #define mpq_abs __gmpq_abs
 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_abs)
 __GMP_DECLSPEC void mpq_abs (mpq_ptr, mpq_srcptr);
 #endif
 
 #define mpq_add __gmpq_add
 __GMP_DECLSPEC void mpq_add (mpq_ptr, mpq_srcptr, mpq_srcptr);
 
 #define mpq_canonicalize __gmpq_canonicalize
 __GMP_DECLSPEC void mpq_canonicalize (mpq_ptr);
 
 #define mpq_clear __gmpq_clear
 __GMP_DECLSPEC void mpq_clear (mpq_ptr);
 
 #define mpq_clears __gmpq_clears
 __GMP_DECLSPEC void mpq_clears (mpq_ptr, ...);
 
 #define mpq_cmp __gmpq_cmp
 __GMP_DECLSPEC int mpq_cmp (mpq_srcptr, mpq_srcptr) __GMP_ATTRIBUTE_PURE;
 
 #define _mpq_cmp_si __gmpq_cmp_si
 __GMP_DECLSPEC int _mpq_cmp_si (mpq_srcptr, long, unsigned long) __GMP_ATTRIBUTE_PURE;
 
 #define _mpq_cmp_ui __gmpq_cmp_ui
 __GMP_DECLSPEC int _mpq_cmp_ui (mpq_srcptr, unsigned long int, unsigned long int) __GMP_ATTRIBUTE_PURE;
 
 #define mpq_cmp_z __gmpq_cmp_z
 __GMP_DECLSPEC int mpq_cmp_z (mpq_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
 
 #define mpq_div __gmpq_div
 __GMP_DECLSPEC void mpq_div (mpq_ptr, mpq_srcptr, mpq_srcptr);
 
 #define mpq_div_2exp __gmpq_div_2exp
 __GMP_DECLSPEC void mpq_div_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
 
 #define mpq_equal __gmpq_equal
 __GMP_DECLSPEC int mpq_equal (mpq_srcptr, mpq_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpq_get_num __gmpq_get_num
 __GMP_DECLSPEC void mpq_get_num (mpz_ptr, mpq_srcptr);
 
 #define mpq_get_den __gmpq_get_den
 __GMP_DECLSPEC void mpq_get_den (mpz_ptr, mpq_srcptr);
 
 #define mpq_get_d __gmpq_get_d
 __GMP_DECLSPEC double mpq_get_d (mpq_srcptr) __GMP_ATTRIBUTE_PURE;
 
 #define mpq_get_str __gmpq_get_str
 __GMP_DECLSPEC char *mpq_get_str (char *, int, mpq_srcptr);
 
 #define mpq_init __gmpq_init
 __GMP_DECLSPEC void mpq_init (mpq_ptr);
 
 #define mpq_inits __gmpq_inits
 __GMP_DECLSPEC void mpq_inits (mpq_ptr, ...);
 
 #define mpq_inp_str __gmpq_inp_str
 #ifdef _GMP_H_HAVE_FILE
 __GMP_DECLSPEC size_t mpq_inp_str (mpq_ptr, FILE *, int);
 #endif
 
 #define mpq_inv __gmpq_inv
 __GMP_DECLSPEC void mpq_inv (mpq_ptr, mpq_srcptr);
 
 #define mpq_mul __gmpq_mul
 __GMP_DECLSPEC void mpq_mul (mpq_ptr, mpq_srcptr, mpq_srcptr);
 
 #define mpq_mul_2exp __gmpq_mul_2exp
 __GMP_DECLSPEC void mpq_mul_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
 
 #define mpq_neg __gmpq_neg
 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_neg)
 __GMP_DECLSPEC void mpq_neg (mpq_ptr, mpq_srcptr);
 #endif
 
 #define mpq_out_str __gmpq_out_str
 #ifdef _GMP_H_HAVE_FILE
 __GMP_DECLSPEC size_t mpq_out_str (FILE *, int, mpq_srcptr);
 #endif
 
 #define mpq_set __gmpq_set
 __GMP_DECLSPEC void mpq_set (mpq_ptr, mpq_srcptr);
 
 #define mpq_set_d __gmpq_set_d
 __GMP_DECLSPEC void mpq_set_d (mpq_ptr, double);
 
 #define mpq_set_den __gmpq_set_den
 __GMP_DECLSPEC void mpq_set_den (mpq_ptr, mpz_srcptr);
 
 #define mpq_set_f __gmpq_set_f
 __GMP_DECLSPEC void mpq_set_f (mpq_ptr, mpf_srcptr);
 
 #define mpq_set_num __gmpq_set_num
 __GMP_DECLSPEC void mpq_set_num (mpq_ptr, mpz_srcptr);
 
 #define mpq_set_si __gmpq_set_si
 __GMP_DECLSPEC void mpq_set_si (mpq_ptr, signed long int, unsigned long int);
 
 #define mpq_set_str __gmpq_set_str
 __GMP_DECLSPEC int mpq_set_str (mpq_ptr, const char *, int);
 
 #define mpq_set_ui __gmpq_set_ui
 __GMP_DECLSPEC void mpq_set_ui (mpq_ptr, unsigned long int, unsigned long int);
 
 #define mpq_set_z __gmpq_set_z
 __GMP_DECLSPEC void mpq_set_z (mpq_ptr, mpz_srcptr);
 
 #define mpq_sub __gmpq_sub
 __GMP_DECLSPEC void mpq_sub (mpq_ptr, mpq_srcptr, mpq_srcptr);
 
 #define mpq_swap __gmpq_swap
 __GMP_DECLSPEC void mpq_swap (mpq_ptr, mpq_ptr) __GMP_NOTHROW;
 
 
 /**************** Float (i.e. F) routines.  ****************/
 
 #define mpf_abs __gmpf_abs
 __GMP_DECLSPEC void mpf_abs (mpf_ptr, mpf_srcptr);
 
 #define mpf_add __gmpf_add
 __GMP_DECLSPEC void mpf_add (mpf_ptr, mpf_srcptr, mpf_srcptr);
 
 #define mpf_add_ui __gmpf_add_ui
 __GMP_DECLSPEC void mpf_add_ui (mpf_ptr, mpf_srcptr, unsigned long int);
 #define mpf_ceil __gmpf_ceil
 __GMP_DECLSPEC void mpf_ceil (mpf_ptr, mpf_srcptr);
 
 #define mpf_clear __gmpf_clear
 __GMP_DECLSPEC void mpf_clear (mpf_ptr);
 
 #define mpf_clears __gmpf_clears
 __GMP_DECLSPEC void mpf_clears (mpf_ptr, ...);
 
 #define mpf_cmp __gmpf_cmp
 __GMP_DECLSPEC int mpf_cmp (mpf_srcptr, mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpf_cmp_z __gmpf_cmp_z
 __GMP_DECLSPEC int mpf_cmp_z (mpf_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpf_cmp_d __gmpf_cmp_d
 __GMP_DECLSPEC int mpf_cmp_d (mpf_srcptr, double) __GMP_ATTRIBUTE_PURE;
 
 #define mpf_cmp_si __gmpf_cmp_si
 __GMP_DECLSPEC int mpf_cmp_si (mpf_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpf_cmp_ui __gmpf_cmp_ui
 __GMP_DECLSPEC int mpf_cmp_ui (mpf_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpf_div __gmpf_div
 __GMP_DECLSPEC void mpf_div (mpf_ptr, mpf_srcptr, mpf_srcptr);
 
 #define mpf_div_2exp __gmpf_div_2exp
 __GMP_DECLSPEC void mpf_div_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
 
 #define mpf_div_ui __gmpf_div_ui
 __GMP_DECLSPEC void mpf_div_ui (mpf_ptr, mpf_srcptr, unsigned long int);
 
 #define mpf_dump __gmpf_dump
 __GMP_DECLSPEC void mpf_dump (mpf_srcptr);
 
 #define mpf_eq __gmpf_eq
 __GMP_DECLSPEC int mpf_eq (mpf_srcptr, mpf_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
 
 #define mpf_fits_sint_p __gmpf_fits_sint_p
 __GMP_DECLSPEC int mpf_fits_sint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpf_fits_slong_p __gmpf_fits_slong_p
 __GMP_DECLSPEC int mpf_fits_slong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpf_fits_sshort_p __gmpf_fits_sshort_p
 __GMP_DECLSPEC int mpf_fits_sshort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpf_fits_uint_p __gmpf_fits_uint_p
 __GMP_DECLSPEC int mpf_fits_uint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpf_fits_ulong_p __gmpf_fits_ulong_p
 __GMP_DECLSPEC int mpf_fits_ulong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpf_fits_ushort_p __gmpf_fits_ushort_p
 __GMP_DECLSPEC int mpf_fits_ushort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpf_floor __gmpf_floor
 __GMP_DECLSPEC void mpf_floor (mpf_ptr, mpf_srcptr);
 
 #define mpf_get_d __gmpf_get_d
 __GMP_DECLSPEC double mpf_get_d (mpf_srcptr) __GMP_ATTRIBUTE_PURE;
 
 #define mpf_get_d_2exp __gmpf_get_d_2exp
 __GMP_DECLSPEC double mpf_get_d_2exp (signed long int *, mpf_srcptr);
 
 #define mpf_get_default_prec __gmpf_get_default_prec
 __GMP_DECLSPEC mp_bitcnt_t mpf_get_default_prec (void) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpf_get_prec __gmpf_get_prec
 __GMP_DECLSPEC mp_bitcnt_t mpf_get_prec (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpf_get_si __gmpf_get_si
 __GMP_DECLSPEC long mpf_get_si (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpf_get_str __gmpf_get_str
 __GMP_DECLSPEC char *mpf_get_str (char *, mp_exp_t *, int, size_t, mpf_srcptr);
 
 #define mpf_get_ui __gmpf_get_ui
 __GMP_DECLSPEC unsigned long mpf_get_ui (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpf_init __gmpf_init
 __GMP_DECLSPEC void mpf_init (mpf_ptr);
 
 #define mpf_init2 __gmpf_init2
 __GMP_DECLSPEC void mpf_init2 (mpf_ptr, mp_bitcnt_t);
 
 #define mpf_inits __gmpf_inits
 __GMP_DECLSPEC void mpf_inits (mpf_ptr, ...);
 
 #define mpf_init_set __gmpf_init_set
 __GMP_DECLSPEC void mpf_init_set (mpf_ptr, mpf_srcptr);
 
 #define mpf_init_set_d __gmpf_init_set_d
 __GMP_DECLSPEC void mpf_init_set_d (mpf_ptr, double);
 
 #define mpf_init_set_si __gmpf_init_set_si
 __GMP_DECLSPEC void mpf_init_set_si (mpf_ptr, signed long int);
 
 #define mpf_init_set_str __gmpf_init_set_str
 __GMP_DECLSPEC int mpf_init_set_str (mpf_ptr, const char *, int);
 
 #define mpf_init_set_ui __gmpf_init_set_ui
 __GMP_DECLSPEC void mpf_init_set_ui (mpf_ptr, unsigned long int);
 
 #define mpf_inp_str __gmpf_inp_str
 #ifdef _GMP_H_HAVE_FILE
 __GMP_DECLSPEC size_t mpf_inp_str (mpf_ptr, FILE *, int);
 #endif
 
 #define mpf_integer_p __gmpf_integer_p
 __GMP_DECLSPEC int mpf_integer_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpf_mul __gmpf_mul
 __GMP_DECLSPEC void mpf_mul (mpf_ptr, mpf_srcptr, mpf_srcptr);
 
 #define mpf_mul_2exp __gmpf_mul_2exp
 __GMP_DECLSPEC void mpf_mul_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
 
 #define mpf_mul_ui __gmpf_mul_ui
 __GMP_DECLSPEC void mpf_mul_ui (mpf_ptr, mpf_srcptr, unsigned long int);
 
 #define mpf_neg __gmpf_neg
 __GMP_DECLSPEC void mpf_neg (mpf_ptr, mpf_srcptr);
 
 #define mpf_out_str __gmpf_out_str
 #ifdef _GMP_H_HAVE_FILE
 __GMP_DECLSPEC size_t mpf_out_str (FILE *, int, size_t, mpf_srcptr);
 #endif
 
 #define mpf_pow_ui __gmpf_pow_ui
 __GMP_DECLSPEC void mpf_pow_ui (mpf_ptr, mpf_srcptr, unsigned long int);
 
 #define mpf_random2 __gmpf_random2
 __GMP_DECLSPEC void mpf_random2 (mpf_ptr, mp_size_t, mp_exp_t);
 
 #define mpf_reldiff __gmpf_reldiff
 __GMP_DECLSPEC void mpf_reldiff (mpf_ptr, mpf_srcptr, mpf_srcptr);
 
 #define mpf_set __gmpf_set
 __GMP_DECLSPEC void mpf_set (mpf_ptr, mpf_srcptr);
 
 #define mpf_set_d __gmpf_set_d
 __GMP_DECLSPEC void mpf_set_d (mpf_ptr, double);
 
 #define mpf_set_default_prec __gmpf_set_default_prec
 __GMP_DECLSPEC void mpf_set_default_prec (mp_bitcnt_t) __GMP_NOTHROW;
 
 #define mpf_set_prec __gmpf_set_prec
 __GMP_DECLSPEC void mpf_set_prec (mpf_ptr, mp_bitcnt_t);
 
 #define mpf_set_prec_raw __gmpf_set_prec_raw
 __GMP_DECLSPEC void mpf_set_prec_raw (mpf_ptr, mp_bitcnt_t) __GMP_NOTHROW;
 
 #define mpf_set_q __gmpf_set_q
 __GMP_DECLSPEC void mpf_set_q (mpf_ptr, mpq_srcptr);
 
 #define mpf_set_si __gmpf_set_si
 __GMP_DECLSPEC void mpf_set_si (mpf_ptr, signed long int);
 
 #define mpf_set_str __gmpf_set_str
 __GMP_DECLSPEC int mpf_set_str (mpf_ptr, const char *, int);
 
 #define mpf_set_ui __gmpf_set_ui
 __GMP_DECLSPEC void mpf_set_ui (mpf_ptr, unsigned long int);
 
 #define mpf_set_z __gmpf_set_z
 __GMP_DECLSPEC void mpf_set_z (mpf_ptr, mpz_srcptr);
 
 #define mpf_size __gmpf_size
 __GMP_DECLSPEC size_t mpf_size (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpf_sqrt __gmpf_sqrt
 __GMP_DECLSPEC void mpf_sqrt (mpf_ptr, mpf_srcptr);
 
 #define mpf_sqrt_ui __gmpf_sqrt_ui
 __GMP_DECLSPEC void mpf_sqrt_ui (mpf_ptr, unsigned long int);
 
 #define mpf_sub __gmpf_sub
 __GMP_DECLSPEC void mpf_sub (mpf_ptr, mpf_srcptr, mpf_srcptr);
 
 #define mpf_sub_ui __gmpf_sub_ui
 __GMP_DECLSPEC void mpf_sub_ui (mpf_ptr, mpf_srcptr, unsigned long int);
 
 #define mpf_swap __gmpf_swap
 __GMP_DECLSPEC void mpf_swap (mpf_ptr, mpf_ptr) __GMP_NOTHROW;
 
 #define mpf_trunc __gmpf_trunc
 __GMP_DECLSPEC void mpf_trunc (mpf_ptr, mpf_srcptr);
 
 #define mpf_ui_div __gmpf_ui_div
 __GMP_DECLSPEC void mpf_ui_div (mpf_ptr, unsigned long int, mpf_srcptr);
 
 #define mpf_ui_sub __gmpf_ui_sub
 __GMP_DECLSPEC void mpf_ui_sub (mpf_ptr, unsigned long int, mpf_srcptr);
 
 #define mpf_urandomb __gmpf_urandomb
 __GMP_DECLSPEC void mpf_urandomb (mpf_ptr, gmp_randstate_ptr, mp_bitcnt_t);
 
 
 /************ Low level positive-integer (i.e. N) routines.  ************/
 
 /* This is ugly, but we need to make user calls reach the prefixed function. */
 
 #define mpn_add __MPN(add)
 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add)
 __GMP_DECLSPEC mp_limb_t mpn_add (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
 #endif
 
 #define mpn_add_1 __MPN(add_1)
 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add_1)
 __GMP_DECLSPEC mp_limb_t mpn_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
 #endif
 
 #define mpn_add_n __MPN(add_n)
 __GMP_DECLSPEC mp_limb_t mpn_add_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
 
 #define mpn_addmul_1 __MPN(addmul_1)
 __GMP_DECLSPEC mp_limb_t mpn_addmul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
 
 #define mpn_cmp __MPN(cmp)
 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_cmp)
 __GMP_DECLSPEC int mpn_cmp (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 #endif
 
 #define mpn_zero_p __MPN(zero_p)
 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_zero_p)
 __GMP_DECLSPEC int mpn_zero_p (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 #endif
 
 #define mpn_divexact_1 __MPN(divexact_1)
 __GMP_DECLSPEC void mpn_divexact_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
 
 #define mpn_divexact_by3(dst,src,size) \
   mpn_divexact_by3c (dst, src, size, __GMP_CAST (mp_limb_t, 0))
 
 #define mpn_divexact_by3c __MPN(divexact_by3c)
 __GMP_DECLSPEC mp_limb_t mpn_divexact_by3c (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
 
 #define mpn_divmod_1(qp,np,nsize,dlimb) \
   mpn_divrem_1 (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dlimb)
 
 #define mpn_divrem __MPN(divrem)
 __GMP_DECLSPEC mp_limb_t mpn_divrem (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t);
 
 #define mpn_divrem_1 __MPN(divrem_1)
 __GMP_DECLSPEC mp_limb_t mpn_divrem_1 (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t);
 
 #define mpn_divrem_2 __MPN(divrem_2)
 __GMP_DECLSPEC mp_limb_t mpn_divrem_2 (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr);
 
 #define mpn_div_qr_1 __MPN(div_qr_1)
 __GMP_DECLSPEC mp_limb_t mpn_div_qr_1 (mp_ptr, mp_limb_t *, mp_srcptr, mp_size_t, mp_limb_t);
 
 #define mpn_div_qr_2 __MPN(div_qr_2)
 __GMP_DECLSPEC mp_limb_t mpn_div_qr_2 (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
 
 #define mpn_gcd __MPN(gcd)
 __GMP_DECLSPEC mp_size_t mpn_gcd (mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
 
 #define mpn_gcd_11 __MPN(gcd_11)
 __GMP_DECLSPEC mp_limb_t mpn_gcd_11 (mp_limb_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
 
 #define mpn_gcd_1 __MPN(gcd_1)
 __GMP_DECLSPEC mp_limb_t mpn_gcd_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
 
 #define mpn_gcdext_1 __MPN(gcdext_1)
 __GMP_DECLSPEC mp_limb_t mpn_gcdext_1 (mp_limb_signed_t *, mp_limb_signed_t *, mp_limb_t, mp_limb_t);
 
 #define mpn_gcdext __MPN(gcdext)
 __GMP_DECLSPEC mp_size_t mpn_gcdext (mp_ptr, mp_ptr, mp_size_t *, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
 
 #define mpn_get_str __MPN(get_str)
 __GMP_DECLSPEC size_t mpn_get_str (unsigned char *, int, mp_ptr, mp_size_t);
 
 #define mpn_hamdist __MPN(hamdist)
 __GMP_DECLSPEC mp_bitcnt_t mpn_hamdist (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpn_lshift __MPN(lshift)
 __GMP_DECLSPEC mp_limb_t mpn_lshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
 
 #define mpn_mod_1 __MPN(mod_1)
 __GMP_DECLSPEC mp_limb_t mpn_mod_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
 
 #define mpn_mul __MPN(mul)
 __GMP_DECLSPEC mp_limb_t mpn_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
 
 #define mpn_mul_1 __MPN(mul_1)
 __GMP_DECLSPEC mp_limb_t mpn_mul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
 
 #define mpn_mul_n __MPN(mul_n)
 __GMP_DECLSPEC void mpn_mul_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
 
 #define mpn_sqr __MPN(sqr)
 __GMP_DECLSPEC void mpn_sqr (mp_ptr, mp_srcptr, mp_size_t);
 
 #define mpn_neg __MPN(neg)
 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_neg)
 __GMP_DECLSPEC mp_limb_t mpn_neg (mp_ptr, mp_srcptr, mp_size_t);
 #endif
 
 #define mpn_com __MPN(com)
 __GMP_DECLSPEC void mpn_com (mp_ptr, mp_srcptr, mp_size_t);
 
 #define mpn_perfect_square_p __MPN(perfect_square_p)
 __GMP_DECLSPEC int mpn_perfect_square_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
 
 #define mpn_perfect_power_p __MPN(perfect_power_p)
 __GMP_DECLSPEC int mpn_perfect_power_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
 
 #define mpn_popcount __MPN(popcount)
 __GMP_DECLSPEC mp_bitcnt_t mpn_popcount (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
 
 #define mpn_pow_1 __MPN(pow_1)
 __GMP_DECLSPEC mp_size_t mpn_pow_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
 
 /* undocumented now, but retained here for upward compatibility */
 #define mpn_preinv_mod_1 __MPN(preinv_mod_1)
 __GMP_DECLSPEC mp_limb_t mpn_preinv_mod_1 (mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
 
 #define mpn_random __MPN(random)
 __GMP_DECLSPEC void mpn_random (mp_ptr, mp_size_t);
 
 #define mpn_random2 __MPN(random2)
 __GMP_DECLSPEC void mpn_random2 (mp_ptr, mp_size_t);
 
 #define mpn_rshift __MPN(rshift)
 __GMP_DECLSPEC mp_limb_t mpn_rshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
 
 #define mpn_scan0 __MPN(scan0)
 __GMP_DECLSPEC mp_bitcnt_t mpn_scan0 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
 
 #define mpn_scan1 __MPN(scan1)
 __GMP_DECLSPEC mp_bitcnt_t mpn_scan1 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
 
 #define mpn_set_str __MPN(set_str)
 __GMP_DECLSPEC mp_size_t mpn_set_str (mp_ptr, const unsigned char *, size_t, int);
 
 #define mpn_sizeinbase __MPN(sizeinbase)
 __GMP_DECLSPEC size_t mpn_sizeinbase (mp_srcptr, mp_size_t, int);
 
 #define mpn_sqrtrem __MPN(sqrtrem)
 __GMP_DECLSPEC mp_size_t mpn_sqrtrem (mp_ptr, mp_ptr, mp_srcptr, mp_size_t);
 
 #define mpn_sub __MPN(sub)
 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub)
 __GMP_DECLSPEC mp_limb_t mpn_sub (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
 #endif
 
 #define mpn_sub_1 __MPN(sub_1)
 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub_1)
 __GMP_DECLSPEC mp_limb_t mpn_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
 #endif
 
 #define mpn_sub_n __MPN(sub_n)
 __GMP_DECLSPEC mp_limb_t mpn_sub_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
 
 #define mpn_submul_1 __MPN(submul_1)
 __GMP_DECLSPEC mp_limb_t mpn_submul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
 
 #define mpn_tdiv_qr __MPN(tdiv_qr)
 __GMP_DECLSPEC void mpn_tdiv_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
 
 #define mpn_and_n __MPN(and_n)
 __GMP_DECLSPEC void mpn_and_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
 #define mpn_andn_n __MPN(andn_n)
 __GMP_DECLSPEC void mpn_andn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
 #define mpn_nand_n __MPN(nand_n)
 __GMP_DECLSPEC void mpn_nand_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
 #define mpn_ior_n __MPN(ior_n)
 __GMP_DECLSPEC void mpn_ior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
 #define mpn_iorn_n __MPN(iorn_n)
 __GMP_DECLSPEC void mpn_iorn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
 #define mpn_nior_n __MPN(nior_n)
 __GMP_DECLSPEC void mpn_nior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
 #define mpn_xor_n __MPN(xor_n)
 __GMP_DECLSPEC void mpn_xor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
 #define mpn_xnor_n __MPN(xnor_n)
 __GMP_DECLSPEC void mpn_xnor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
 
 #define mpn_copyi __MPN(copyi)
 __GMP_DECLSPEC void mpn_copyi (mp_ptr, mp_srcptr, mp_size_t);
 #define mpn_copyd __MPN(copyd)
 __GMP_DECLSPEC void mpn_copyd (mp_ptr, mp_srcptr, mp_size_t);
 #define mpn_zero __MPN(zero)
 __GMP_DECLSPEC void mpn_zero (mp_ptr, mp_size_t);
 
 #define mpn_cnd_add_n __MPN(cnd_add_n)
 __GMP_DECLSPEC mp_limb_t mpn_cnd_add_n (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
 #define mpn_cnd_sub_n __MPN(cnd_sub_n)
 __GMP_DECLSPEC mp_limb_t mpn_cnd_sub_n (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
 
 #define mpn_sec_add_1 __MPN(sec_add_1)
 __GMP_DECLSPEC mp_limb_t mpn_sec_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
 #define mpn_sec_add_1_itch __MPN(sec_add_1_itch)
 __GMP_DECLSPEC mp_size_t mpn_sec_add_1_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
 
 #define mpn_sec_sub_1 __MPN(sec_sub_1)
 __GMP_DECLSPEC mp_limb_t mpn_sec_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
 #define mpn_sec_sub_1_itch __MPN(sec_sub_1_itch)
 __GMP_DECLSPEC mp_size_t mpn_sec_sub_1_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
 
 #define mpn_cnd_swap  __MPN(cnd_swap)
 __GMP_DECLSPEC void mpn_cnd_swap (mp_limb_t, volatile mp_limb_t *, volatile mp_limb_t *, mp_size_t);
 
 #define mpn_sec_mul __MPN(sec_mul)
 __GMP_DECLSPEC void mpn_sec_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
 #define mpn_sec_mul_itch __MPN(sec_mul_itch)
 __GMP_DECLSPEC mp_size_t mpn_sec_mul_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
 
 #define mpn_sec_sqr __MPN(sec_sqr)
 __GMP_DECLSPEC void mpn_sec_sqr (mp_ptr, mp_srcptr, mp_size_t, mp_ptr);
 #define mpn_sec_sqr_itch __MPN(sec_sqr_itch)
 __GMP_DECLSPEC mp_size_t mpn_sec_sqr_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
 
 #define mpn_sec_powm __MPN(sec_powm)
 __GMP_DECLSPEC void mpn_sec_powm (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_bitcnt_t, mp_srcptr, mp_size_t, mp_ptr);
 #define mpn_sec_powm_itch __MPN(sec_powm_itch)
 __GMP_DECLSPEC mp_size_t mpn_sec_powm_itch (mp_size_t, mp_bitcnt_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
 
 #define mpn_sec_tabselect __MPN(sec_tabselect)
 __GMP_DECLSPEC void mpn_sec_tabselect (volatile mp_limb_t *, volatile const mp_limb_t *, mp_size_t, mp_size_t, mp_size_t);
 
 #define mpn_sec_div_qr __MPN(sec_div_qr)
 __GMP_DECLSPEC mp_limb_t mpn_sec_div_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
 #define mpn_sec_div_qr_itch __MPN(sec_div_qr_itch)
 __GMP_DECLSPEC mp_size_t mpn_sec_div_qr_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
 #define mpn_sec_div_r __MPN(sec_div_r)
 __GMP_DECLSPEC void mpn_sec_div_r (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
 #define mpn_sec_div_r_itch __MPN(sec_div_r_itch)
 __GMP_DECLSPEC mp_size_t mpn_sec_div_r_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
 
 #define mpn_sec_invert __MPN(sec_invert)
 __GMP_DECLSPEC int mpn_sec_invert (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_bitcnt_t, mp_ptr);
 #define mpn_sec_invert_itch __MPN(sec_invert_itch)
 __GMP_DECLSPEC mp_size_t mpn_sec_invert_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
 
 
 /**************** mpz inlines ****************/
 
 /* The following are provided as inlines where possible, but always exist as
    library functions too, for binary compatibility.
 
    Within gmp itself this inlining generally isn't relied on, since it
    doesn't get done for all compilers, whereas if something is worth
    inlining then it's worth arranging always.
 
    There are two styles of inlining here.  When the same bit of code is
    wanted for the inline as for the library version, then __GMP_FORCE_foo
    arranges for that code to be emitted and the __GMP_EXTERN_INLINE
    directive suppressed, eg. mpz_fits_uint_p.  When a different bit of code
    is wanted for the inline than for the library version, then
    __GMP_FORCE_foo arranges the inline to be suppressed, eg. mpz_abs.  */
 
 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_abs)
 __GMP_EXTERN_INLINE void
 mpz_abs (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
 {
   if (__gmp_w != __gmp_u)
     mpz_set (__gmp_w, __gmp_u);
   __gmp_w->_mp_size = __GMP_ABS (__gmp_w->_mp_size);
 }
 #endif
 
 #if GMP_NAIL_BITS == 0
 #define __GMPZ_FITS_UTYPE_P(z,maxval)                   \
   mp_size_t  __gmp_n = z->_mp_size;                 \
   mp_ptr  __gmp_p = z->_mp_d;                       \
   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval));
 #else
 #define __GMPZ_FITS_UTYPE_P(z,maxval)                   \
   mp_size_t  __gmp_n = z->_mp_size;                 \
   mp_ptr  __gmp_p = z->_mp_d;                       \
   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval)    \
       || (__gmp_n == 2 && __gmp_p[1] <= ((mp_limb_t) maxval >> GMP_NUMB_BITS)));
 #endif
 
 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_uint_p)
 #if ! defined (__GMP_FORCE_mpz_fits_uint_p)
 __GMP_EXTERN_INLINE
 #endif
 int
 mpz_fits_uint_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
 {
   __GMPZ_FITS_UTYPE_P (__gmp_z, UINT_MAX);
 }
 #endif
 
 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ulong_p)
 #if ! defined (__GMP_FORCE_mpz_fits_ulong_p)
 __GMP_EXTERN_INLINE
 #endif
 int
 mpz_fits_ulong_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
 {
   __GMPZ_FITS_UTYPE_P (__gmp_z, ULONG_MAX);
 }
 #endif
 
 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ushort_p)
 #if ! defined (__GMP_FORCE_mpz_fits_ushort_p)
 __GMP_EXTERN_INLINE
 #endif
 int
 mpz_fits_ushort_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
 {
   __GMPZ_FITS_UTYPE_P (__gmp_z, USHRT_MAX);
 }
 #endif
 
 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_get_ui)
 #if ! defined (__GMP_FORCE_mpz_get_ui)
 __GMP_EXTERN_INLINE
 #endif
 unsigned long
 mpz_get_ui (mpz_srcptr __gmp_z) __GMP_NOTHROW
 {
   mp_ptr __gmp_p = __gmp_z->_mp_d;
   mp_size_t __gmp_n = __gmp_z->_mp_size;
   mp_limb_t __gmp_l = __gmp_p[0];
   /* This is a "#if" rather than a plain "if" so as to avoid gcc warnings
      about "<< GMP_NUMB_BITS" exceeding the type size, and to avoid Borland
      C++ 6.0 warnings about condition always true for something like
      "ULONG_MAX < GMP_NUMB_MASK".  */
 #if GMP_NAIL_BITS == 0 || defined (_LONG_LONG_LIMB)
   /* limb==long and no nails, or limb==longlong, one limb is enough */
   return (__gmp_n != 0 ? __gmp_l : 0);
 #else
   /* limb==long and nails, need two limbs when available */
   __gmp_n = __GMP_ABS (__gmp_n);
   if (__gmp_n <= 1)
     return (__gmp_n != 0 ? __gmp_l : 0);
   else
     return __gmp_l + (__gmp_p[1] << GMP_NUMB_BITS);
 #endif
 }
 #endif
 
 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_getlimbn)
 #if ! defined (__GMP_FORCE_mpz_getlimbn)
 __GMP_EXTERN_INLINE
 #endif
 mp_limb_t
 mpz_getlimbn (mpz_srcptr __gmp_z, mp_size_t __gmp_n) __GMP_NOTHROW
 {
   mp_limb_t  __gmp_result = 0;
   if (__GMP_LIKELY (__gmp_n >= 0 && __gmp_n < __GMP_ABS (__gmp_z->_mp_size)))
     __gmp_result = __gmp_z->_mp_d[__gmp_n];
   return __gmp_result;
 }
 #endif
 
 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_neg)
 __GMP_EXTERN_INLINE void
 mpz_neg (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
 {
   if (__gmp_w != __gmp_u)
     mpz_set (__gmp_w, __gmp_u);
   __gmp_w->_mp_size = - __gmp_w->_mp_size;
 }
 #endif
 
 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_perfect_square_p)
 #if ! defined (__GMP_FORCE_mpz_perfect_square_p)
 __GMP_EXTERN_INLINE
 #endif
 int
 mpz_perfect_square_p (mpz_srcptr __gmp_a)
 {
   mp_size_t __gmp_asize;
   int       __gmp_result;
 
   __gmp_asize = __gmp_a->_mp_size;
   __gmp_result = (__gmp_asize >= 0);  /* zero is a square, negatives are not */
   if (__GMP_LIKELY (__gmp_asize > 0))
     __gmp_result = mpn_perfect_square_p (__gmp_a->_mp_d, __gmp_asize);
   return __gmp_result;
 }
 #endif
 
 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_popcount)
 #if ! defined (__GMP_FORCE_mpz_popcount)
 __GMP_EXTERN_INLINE
 #endif
 mp_bitcnt_t
 mpz_popcount (mpz_srcptr __gmp_u) __GMP_NOTHROW
 {
   mp_size_t      __gmp_usize;
   mp_bitcnt_t    __gmp_result;
 
   __gmp_usize = __gmp_u->_mp_size;
   __gmp_result = (__gmp_usize < 0 ? ~ __GMP_CAST (mp_bitcnt_t, 0) : __GMP_CAST (mp_bitcnt_t, 0));
   if (__GMP_LIKELY (__gmp_usize > 0))
     __gmp_result =  mpn_popcount (__gmp_u->_mp_d, __gmp_usize);
   return __gmp_result;
 }
 #endif
 
 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_set_q)
 #if ! defined (__GMP_FORCE_mpz_set_q)
 __GMP_EXTERN_INLINE
 #endif
 void
 mpz_set_q (mpz_ptr __gmp_w, mpq_srcptr __gmp_u)
 {
   mpz_tdiv_q (__gmp_w, mpq_numref (__gmp_u), mpq_denref (__gmp_u));
 }
 #endif
 
 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_size)
 #if ! defined (__GMP_FORCE_mpz_size)
 __GMP_EXTERN_INLINE
 #endif
 size_t
 mpz_size (mpz_srcptr __gmp_z) __GMP_NOTHROW
 {
   return __GMP_ABS (__gmp_z->_mp_size);
 }
 #endif
 
 
 /**************** mpq inlines ****************/
 
 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_abs)
 __GMP_EXTERN_INLINE void
 mpq_abs (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
 {
   if (__gmp_w != __gmp_u)
     mpq_set (__gmp_w, __gmp_u);
   __gmp_w->_mp_num._mp_size = __GMP_ABS (__gmp_w->_mp_num._mp_size);
 }
 #endif
 
 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_neg)
 __GMP_EXTERN_INLINE void
 mpq_neg (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
 {
   if (__gmp_w != __gmp_u)
     mpq_set (__gmp_w, __gmp_u);
   __gmp_w->_mp_num._mp_size = - __gmp_w->_mp_num._mp_size;
 }
 #endif
 
 
 /**************** mpn inlines ****************/
 
 /* The comments with __GMPN_ADD_1 below apply here too.
 
    The test for FUNCTION returning 0 should predict well.  If it's assumed
    {yp,ysize} will usually have a random number of bits then the high limb
    won't be full and a carry out will occur a good deal less than 50% of the
    time.
 
    ysize==0 isn't a documented feature, but is used internally in a few
    places.
 
    Producing cout last stops it using up a register during the main part of
    the calculation, though gcc (as of 3.0) on an "if (mpn_add (...))"
    doesn't seem able to move the true and false legs of the conditional up
    to the two places cout is generated.  */
 
 #define __GMPN_AORS(cout, wp, xp, xsize, yp, ysize, FUNCTION, TEST)     \
   do {                                                                  \
     mp_size_t  __gmp_i;                                                 \
     mp_limb_t  __gmp_x;                                                 \
                                                                         \
     /* ASSERT ((ysize) >= 0); */                                        \
     /* ASSERT ((xsize) >= (ysize)); */                                  \
     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, xp, xsize)); */      \
     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, yp, ysize)); */      \
                                                                         \
     __gmp_i = (ysize);                                                  \
     if (__gmp_i != 0)                                                   \
       {                                                                 \
         if (FUNCTION (wp, xp, yp, __gmp_i))                             \
           {                                                             \
             do                                                          \
               {                                                         \
                 if (__gmp_i >= (xsize))                                 \
                   {                                                     \
                     (cout) = 1;                                         \
                     goto __gmp_done;                                    \
                   }                                                     \
                 __gmp_x = (xp)[__gmp_i];                                \
               }                                                         \
             while (TEST);                                               \
           }                                                             \
       }                                                                 \
     if ((wp) != (xp))                                                   \
       __GMPN_COPY_REST (wp, xp, xsize, __gmp_i);                        \
     (cout) = 0;                                                         \
   __gmp_done:                                                           \
     ;                                                                   \
   } while (0)
 
 #define __GMPN_ADD(cout, wp, xp, xsize, yp, ysize)              \
   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_add_n,       \
                (((wp)[__gmp_i++] = (__gmp_x + 1) & GMP_NUMB_MASK) == 0))
 #define __GMPN_SUB(cout, wp, xp, xsize, yp, ysize)              \
   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_sub_n,       \
                (((wp)[__gmp_i++] = (__gmp_x - 1) & GMP_NUMB_MASK), __gmp_x == 0))
 
 
 /* The use of __gmp_i indexing is designed to ensure a compile time src==dst
    remains nice and clear to the compiler, so that __GMPN_COPY_REST can
    disappear, and the load/add/store gets a chance to become a
    read-modify-write on CISC CPUs.
 
    Alternatives:
 
    Using a pair of pointers instead of indexing would be possible, but gcc
    isn't able to recognise compile-time src==dst in that case, even when the
    pointers are incremented more or less together.  Other compilers would
    very likely have similar difficulty.
 
    gcc could use "if (__builtin_constant_p(src==dst) && src==dst)" or
    similar to detect a compile-time src==dst.  This works nicely on gcc
    2.95.x, it's not good on gcc 3.0 where __builtin_constant_p(p==p) seems
    to be always false, for a pointer p.  But the current code form seems
    good enough for src==dst anyway.
 
    gcc on x86 as usual doesn't give particularly good flags handling for the
    carry/borrow detection.  It's tempting to want some multi instruction asm
    blocks to help it, and this was tried, but in truth there's only a few
    instructions to save and any gain is all too easily lost by register
    juggling setting up for the asm.  */
 
 #if GMP_NAIL_BITS == 0
 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)     \
   do {                              \
     mp_size_t  __gmp_i;                     \
     mp_limb_t  __gmp_x, __gmp_r;                                \
                                 \
     /* ASSERT ((n) >= 1); */                    \
     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */    \
                                 \
     __gmp_x = (src)[0];                     \
     __gmp_r = __gmp_x OP (v);                                   \
     (dst)[0] = __gmp_r;                     \
     if (CB (__gmp_r, __gmp_x, (v)))                             \
       {                             \
     (cout) = 1;                     \
     for (__gmp_i = 1; __gmp_i < (n);)                       \
       {                         \
         __gmp_x = (src)[__gmp_i];                           \
         __gmp_r = __gmp_x OP 1;                             \
         (dst)[__gmp_i] = __gmp_r;                           \
         ++__gmp_i;                      \
         if (!CB (__gmp_r, __gmp_x, 1))                      \
           {                         \
         if ((src) != (dst))             \
           __GMPN_COPY_REST (dst, src, n, __gmp_i);      \
         (cout) = 0;                 \
         break;                      \
           }                         \
       }                         \
       }                             \
     else                            \
       {                             \
     if ((src) != (dst))                 \
       __GMPN_COPY_REST (dst, src, n, 1);            \
     (cout) = 0;                     \
       }                             \
   } while (0)
 #endif
 
 #if GMP_NAIL_BITS >= 1
 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)     \
   do {                              \
     mp_size_t  __gmp_i;                     \
     mp_limb_t  __gmp_x, __gmp_r;                \
                                 \
     /* ASSERT ((n) >= 1); */                    \
     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */    \
                                 \
     __gmp_x = (src)[0];                     \
     __gmp_r = __gmp_x OP (v);                   \
     (dst)[0] = __gmp_r & GMP_NUMB_MASK;             \
     if (__gmp_r >> GMP_NUMB_BITS != 0)              \
       {                             \
     (cout) = 1;                     \
     for (__gmp_i = 1; __gmp_i < (n);)           \
       {                         \
         __gmp_x = (src)[__gmp_i];               \
         __gmp_r = __gmp_x OP 1;             \
         (dst)[__gmp_i] = __gmp_r & GMP_NUMB_MASK;       \
         ++__gmp_i;                      \
         if (__gmp_r >> GMP_NUMB_BITS == 0)          \
           {                         \
         if ((src) != (dst))             \
           __GMPN_COPY_REST (dst, src, n, __gmp_i);  \
         (cout) = 0;                 \
         break;                      \
           }                         \
       }                         \
       }                             \
     else                            \
       {                             \
     if ((src) != (dst))                 \
       __GMPN_COPY_REST (dst, src, n, 1);            \
     (cout) = 0;                     \
       }                             \
   } while (0)
 #endif
 
 #define __GMPN_ADDCB(r,x,y) ((r) < (y))
 #define __GMPN_SUBCB(r,x,y) ((x) < (y))
 
 #define __GMPN_ADD_1(cout, dst, src, n, v)       \
   __GMPN_AORS_1(cout, dst, src, n, v, +, __GMPN_ADDCB)
 #define __GMPN_SUB_1(cout, dst, src, n, v)       \
   __GMPN_AORS_1(cout, dst, src, n, v, -, __GMPN_SUBCB)
 
 
 /* Compare {xp,size} and {yp,size}, setting "result" to positive, zero or
    negative.  size==0 is allowed.  On random data usually only one limb will
    need to be examined to get a result, so it's worth having it inline.  */
 #define __GMPN_CMP(result, xp, yp, size)                                \
   do {                                                                  \
     mp_size_t  __gmp_i;                                                 \
     mp_limb_t  __gmp_x, __gmp_y;                                        \
                                                                         \
     /* ASSERT ((size) >= 0); */                                         \
                                                                         \
     (result) = 0;                                                       \
     __gmp_i = (size);                                                   \
     while (--__gmp_i >= 0)                                              \
       {                                                                 \
         __gmp_x = (xp)[__gmp_i];                                        \
         __gmp_y = (yp)[__gmp_i];                                        \
         if (__gmp_x != __gmp_y)                                         \
           {                                                             \
             /* Cannot use __gmp_x - __gmp_y, may overflow an "int" */   \
             (result) = (__gmp_x > __gmp_y ? 1 : -1);                    \
             break;                                                      \
           }                                                             \
       }                                                                 \
   } while (0)
 
 
 #if defined (__GMPN_COPY) && ! defined (__GMPN_COPY_REST)
 #define __GMPN_COPY_REST(dst, src, size, start)                 \
   do {                                                          \
     /* ASSERT ((start) >= 0); */                                \
     /* ASSERT ((start) <= (size)); */                           \
     __GMPN_COPY ((dst)+(start), (src)+(start), (size)-(start)); \
   } while (0)
 #endif
 
 /* Copy {src,size} to {dst,size}, starting at "start".  This is designed to
    keep the indexing dst[j] and src[j] nice and simple for __GMPN_ADD_1,
    __GMPN_ADD, etc.  */
 #if ! defined (__GMPN_COPY_REST)
 #define __GMPN_COPY_REST(dst, src, size, start)                 \
   do {                                                          \
     mp_size_t __gmp_j;                                          \
     /* ASSERT ((size) >= 0); */                                 \
     /* ASSERT ((start) >= 0); */                                \
     /* ASSERT ((start) <= (size)); */                           \
     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */     \
     __GMP_CRAY_Pragma ("_CRI ivdep");                           \
     for (__gmp_j = (start); __gmp_j < (size); __gmp_j++)        \
       (dst)[__gmp_j] = (src)[__gmp_j];                          \
   } while (0)
 #endif
 
 /* Enhancement: Use some of the smarter code from gmp-impl.h.  Maybe use
    mpn_copyi if there's a native version, and if we don't mind demanding
    binary compatibility for it (on targets which use it).  */
 
 #if ! defined (__GMPN_COPY)
 #define __GMPN_COPY(dst, src, size)   __GMPN_COPY_REST (dst, src, size, 0)
 #endif
 
 
 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add)
 #if ! defined (__GMP_FORCE_mpn_add)
 __GMP_EXTERN_INLINE
 #endif
 mp_limb_t
 mpn_add (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
 {
   mp_limb_t  __gmp_c;
   __GMPN_ADD (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
   return __gmp_c;
 }
 #endif
 
 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add_1)
 #if ! defined (__GMP_FORCE_mpn_add_1)
 __GMP_EXTERN_INLINE
 #endif
 mp_limb_t
 mpn_add_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
 {
   mp_limb_t  __gmp_c;
   __GMPN_ADD_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
   return __gmp_c;
 }
 #endif
 
 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_cmp)
 #if ! defined (__GMP_FORCE_mpn_cmp)
 __GMP_EXTERN_INLINE
 #endif
 int
 mpn_cmp (mp_srcptr __gmp_xp, mp_srcptr __gmp_yp, mp_size_t __gmp_size) __GMP_NOTHROW
 {
   int __gmp_result;
   __GMPN_CMP (__gmp_result, __gmp_xp, __gmp_yp, __gmp_size);
   return __gmp_result;
 }
 #endif
 
 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_zero_p)
 #if ! defined (__GMP_FORCE_mpn_zero_p)
 __GMP_EXTERN_INLINE
 #endif
 int
 mpn_zero_p (mp_srcptr __gmp_p, mp_size_t __gmp_n) __GMP_NOTHROW
 {
   /* if (__GMP_LIKELY (__gmp_n > 0)) */
     do {
       if (__gmp_p[--__gmp_n] != 0)
     return 0;
     } while (__gmp_n != 0);
   return 1;
 }
 #endif
 
 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub)
 #if ! defined (__GMP_FORCE_mpn_sub)
 __GMP_EXTERN_INLINE
 #endif
 mp_limb_t
 mpn_sub (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
 {
   mp_limb_t  __gmp_c;
   __GMPN_SUB (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
   return __gmp_c;
 }
 #endif
 
 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub_1)
 #if ! defined (__GMP_FORCE_mpn_sub_1)
 __GMP_EXTERN_INLINE
 #endif
 mp_limb_t
 mpn_sub_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
 {
   mp_limb_t  __gmp_c;
   __GMPN_SUB_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
   return __gmp_c;
 }
 #endif
 
 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_neg)
 #if ! defined (__GMP_FORCE_mpn_neg)
 __GMP_EXTERN_INLINE
 #endif
 mp_limb_t
 mpn_neg (mp_ptr __gmp_rp, mp_srcptr __gmp_up, mp_size_t __gmp_n)
 {
   while (*__gmp_up == 0) /* Low zero limbs are unchanged by negation. */
     {
       *__gmp_rp = 0;
       if (!--__gmp_n) /* All zero */
     return 0;
       ++__gmp_up; ++__gmp_rp;
     }
 
   *__gmp_rp = (- *__gmp_up) & GMP_NUMB_MASK;
 
   if (--__gmp_n) /* Higher limbs get complemented. */
     mpn_com (++__gmp_rp, ++__gmp_up, __gmp_n);
 
   return 1;
 }
 #endif
 
 #if defined (__cplusplus)
 }
 #endif
 
 
 /* Allow faster testing for negative, zero, and positive.  */
 #define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0)
 #define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0)
 #define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0)
 
 /* When using GCC, optimize certain common comparisons.  */
 #if defined (__GNUC__) && __GNUC__ >= 2
 #define mpz_cmp_ui(Z,UI) \
   (__builtin_constant_p (UI) && (UI) == 0               \
    ? mpz_sgn (Z) : _mpz_cmp_ui (Z,UI))
 #define mpz_cmp_si(Z,SI)                        \
   (__builtin_constant_p ((SI) >= 0) && (SI) >= 0            \
    ? mpz_cmp_ui (Z, __GMP_CAST (unsigned long, SI))         \
    : _mpz_cmp_si (Z,SI))
 #define mpq_cmp_ui(Q,NUI,DUI)                   \
   (__builtin_constant_p (NUI) && (NUI) == 0 ? mpq_sgn (Q)   \
    : __builtin_constant_p ((NUI) == (DUI)) && (NUI) == (DUI)    \
    ? mpz_cmp (mpq_numref (Q), mpq_denref (Q))           \
    : _mpq_cmp_ui (Q,NUI,DUI))
 #define mpq_cmp_si(q,n,d)               \
   (__builtin_constant_p ((n) >= 0) && (n) >= 0      \
    ? mpq_cmp_ui (q, __GMP_CAST (unsigned long, n), d)   \
    : _mpq_cmp_si (q, n, d))
 #else
 #define mpz_cmp_ui(Z,UI) _mpz_cmp_ui (Z,UI)
 #define mpz_cmp_si(Z,UI) _mpz_cmp_si (Z,UI)
 #define mpq_cmp_ui(Q,NUI,DUI) _mpq_cmp_ui (Q,NUI,DUI)
 #define mpq_cmp_si(q,n,d)  _mpq_cmp_si(q,n,d)
 #endif
 
 
 /* Using "&" rather than "&&" means these can come out branch-free.  Every
    mpz_t has at least one limb allocated, so fetching the low limb is always
    allowed.  */
 #define mpz_odd_p(z)   (((z)->_mp_size != 0) & __GMP_CAST (int, (z)->_mp_d[0]))
 #define mpz_even_p(z)  (! mpz_odd_p (z))
 
 
 /**************** C++ routines ****************/
 
 #ifdef __cplusplus
 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpz_srcptr);
 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpq_srcptr);
 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpf_srcptr);
 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpz_ptr);
 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpq_ptr);
 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpf_ptr);
 #endif
 
 
 /* Source-level compatibility with GMP 2 and earlier. */
 #define mpn_divmod(qp,np,nsize,dp,dsize) \
   mpn_divrem (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dp, dsize)
 
 /* Source-level compatibility with GMP 1.  */
 #define mpz_mdiv    mpz_fdiv_q
 #define mpz_mdivmod mpz_fdiv_qr
 #define mpz_mmod    mpz_fdiv_r
 #define mpz_mdiv_ui mpz_fdiv_q_ui
 #define mpz_mdivmod_ui(q,r,n,d) \
   (((r) == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d))
 #define mpz_mmod_ui(r,n,d) \
   (((r) == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d))
 
 /* Useful synonyms, but not quite compatible with GMP 1.  */
 #define mpz_div     mpz_fdiv_q
 #define mpz_divmod  mpz_fdiv_qr
 #define mpz_div_ui  mpz_fdiv_q_ui
 #define mpz_divmod_ui   mpz_fdiv_qr_ui
 #define mpz_div_2exp    mpz_fdiv_q_2exp
 #define mpz_mod_2exp    mpz_fdiv_r_2exp
 
 enum
 {
   GMP_ERROR_NONE = 0,
   GMP_ERROR_UNSUPPORTED_ARGUMENT = 1,
   GMP_ERROR_DIVISION_BY_ZERO = 2,
   GMP_ERROR_SQRT_OF_NEGATIVE = 4,
   GMP_ERROR_INVALID_ARGUMENT = 8,
   GMP_ERROR_MPZ_OVERFLOW = 16
 };
 
 /* Define CC and CFLAGS which were used to build this version of GMP */
 #define __GMP_CC "/opt/spack/lib/spack/env/gcc/gcc"
 #define __GMP_CFLAGS "-O2 -pedantic -fomit-frame-pointer -m64 -mtune=k8 -march=k8"
 
 /* Major version number is the value of __GNU_MP__ too, above. */
 #define __GNU_MP_VERSION            6
 #define __GNU_MP_VERSION_MINOR      3
 #define __GNU_MP_VERSION_PATCHLEVEL 0
 #define __GNU_MP_RELEASE (__GNU_MP_VERSION * 10000 + __GNU_MP_VERSION_MINOR * 100 + __GNU_MP_VERSION_PATCHLEVEL)
 
 #define __GMP_H__
 #endif /* __GMP_H__ */

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