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gmp.h revision 1.1.8.1
      1 /* Definitions for GNU multiple precision functions.   -*- mode: c -*-
      2 
      3 Copyright 1991, 1993, 1994, 1995, 1996, 1997, 1999, 2000, 2001, 2002,
      4 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012 Free
      5 Software Foundation, Inc.
      6 
      7 This file is part of the GNU MP Library.
      8 
      9 The GNU MP Library is free software; you can redistribute it and/or modify
     10 it under the terms of the GNU Lesser General Public License as published by
     11 the Free Software Foundation; either version 3 of the License, or (at your
     12 option) any later version.
     13 
     14 The GNU MP Library is distributed in the hope that it will be useful, but
     15 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
     16 or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
     17 License for more details.
     18 
     19 You should have received a copy of the GNU Lesser General Public License
     20 along with the GNU MP Library.  If not, see http://www.gnu.org/licenses/.  */
     21 
     22 #ifndef __GMP_H__
     23 
     24 #if defined (__cplusplus)
     25 #include <iosfwd>   /* for std::istream, std::ostream, std::string */
     26 #include <cstdio>
     27 #endif
     28 
     29 
     30 /* Instantiated by configure. */
     31 #if ! defined (__GMP_WITHIN_CONFIGURE)
     32 #define __GMP_HAVE_HOST_CPU_FAMILY_power   0
     33 #define __GMP_HAVE_HOST_CPU_FAMILY_powerpc 0
     34 #define GMP_LIMB_BITS                      32
     35 #define GMP_NAIL_BITS                      0
     36 #endif
     37 #define GMP_NUMB_BITS     (GMP_LIMB_BITS - GMP_NAIL_BITS)
     38 #define GMP_NUMB_MASK     ((~ __GMP_CAST (mp_limb_t, 0)) >> GMP_NAIL_BITS)
     39 #define GMP_NUMB_MAX      GMP_NUMB_MASK
     40 #define GMP_NAIL_MASK     (~ GMP_NUMB_MASK)
     41 
     42 
     43 /* The following (everything under ifndef __GNU_MP__) must be identical in
     44    gmp.h and mp.h to allow both to be included in an application or during
     45    the library build.  */
     46 #ifndef __GNU_MP__
     47 #define __GNU_MP__ 5
     48 
     49 #define __need_size_t  /* tell gcc stddef.h we only want size_t */
     50 #if defined (__cplusplus)
     51 #include <cstddef>     /* for size_t */
     52 #else
     53 #include <stddef.h>    /* for size_t */
     54 #endif
     55 #undef __need_size_t
     56 
     57 /* Instantiated by configure. */
     58 #if ! defined (__GMP_WITHIN_CONFIGURE)
     59 /* #undef _LONG_LONG_LIMB */
     60 #define __GMP_LIBGMP_DLL  0
     61 #endif
     62 
     63 
     64 /* __GMP_DECLSPEC supports Windows DLL versions of libgmp, and is empty in
     65    all other circumstances.
     66 
     67    When compiling objects for libgmp, __GMP_DECLSPEC is an export directive,
     68    or when compiling for an application it's an import directive.  The two
     69    cases are differentiated by __GMP_WITHIN_GMP defined by the GMP Makefiles
     70    (and not defined from an application).
     71 
     72    __GMP_DECLSPEC_XX is similarly used for libgmpxx.  __GMP_WITHIN_GMPXX
     73    indicates when building libgmpxx, and in that case libgmpxx functions are
     74    exports, but libgmp functions which might get called are imports.
     75 
     76    Libtool DLL_EXPORT define is not used.
     77 
     78    There's no attempt to support GMP built both static and DLL.  Doing so
     79    would mean applications would have to tell us which of the two is going
     80    to be used when linking, and that seems very tedious and error prone if
     81    using GMP by hand, and equally tedious from a package since autoconf and
     82    automake don't give much help.
     83 
     84    __GMP_DECLSPEC is required on all documented global functions and
     85    variables, the various internals in gmp-impl.h etc can be left unadorned.
     86    But internals used by the test programs or speed measuring programs
     87    should have __GMP_DECLSPEC, and certainly constants or variables must
     88    have it or the wrong address will be resolved.
     89 
     90    In gcc __declspec can go at either the start or end of a prototype.
     91 
     92    In Microsoft C __declspec must go at the start, or after the type like
     93    void __declspec(...) *foo()".  There's no __dllexport or anything to
     94    guard against someone foolish #defining dllexport.  _export used to be
     95    available, but no longer.
     96 
     97    In Borland C _export still exists, but needs to go after the type, like
     98    "void _export foo();".  Would have to change the __GMP_DECLSPEC syntax to
     99    make use of that.  Probably more trouble than it's worth.  */
    100 
    101 #if defined (__GNUC__)
    102 #define __GMP_DECLSPEC_EXPORT  __declspec(__dllexport__)
    103 #define __GMP_DECLSPEC_IMPORT  __declspec(__dllimport__)
    104 #endif
    105 #if defined (_MSC_VER) || defined (__BORLANDC__)
    106 #define __GMP_DECLSPEC_EXPORT  __declspec(dllexport)
    107 #define __GMP_DECLSPEC_IMPORT  __declspec(dllimport)
    108 #endif
    109 #ifdef __WATCOMC__
    110 #define __GMP_DECLSPEC_EXPORT  __export
    111 #define __GMP_DECLSPEC_IMPORT  __import
    112 #endif
    113 #ifdef __IBMC__
    114 #define __GMP_DECLSPEC_EXPORT  _Export
    115 #define __GMP_DECLSPEC_IMPORT  _Import
    116 #endif
    117 
    118 #if __GMP_LIBGMP_DLL
    119 #ifdef __GMP_WITHIN_GMP
    120 /* compiling to go into a DLL libgmp */
    121 #define __GMP_DECLSPEC  __GMP_DECLSPEC_EXPORT
    122 #else
    123 /* compiling to go into an application which will link to a DLL libgmp */
    124 #define __GMP_DECLSPEC  __GMP_DECLSPEC_IMPORT
    125 #endif
    126 #else
    127 /* all other cases */
    128 #define __GMP_DECLSPEC
    129 #endif
    130 
    131 
    132 #ifdef __GMP_SHORT_LIMB
    133 typedef unsigned int		mp_limb_t;
    134 typedef int			mp_limb_signed_t;
    135 #else
    136 #ifdef _LONG_LONG_LIMB
    137 typedef unsigned long long int	mp_limb_t;
    138 typedef long long int		mp_limb_signed_t;
    139 #else
    140 typedef unsigned long int	mp_limb_t;
    141 typedef long int		mp_limb_signed_t;
    142 #endif
    143 #endif
    144 typedef unsigned long int	mp_bitcnt_t;
    145 
    146 /* For reference, note that the name __mpz_struct gets into C++ mangled
    147    function names, which means although the "__" suggests an internal, we
    148    must leave this name for binary compatibility.  */
    149 typedef struct
    150 {
    151   int _mp_alloc;		/* Number of *limbs* allocated and pointed
    152 				   to by the _mp_d field.  */
    153   int _mp_size;			/* abs(_mp_size) is the number of limbs the
    154 				   last field points to.  If _mp_size is
    155 				   negative this is a negative number.  */
    156   mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
    157 } __mpz_struct;
    158 
    159 #endif /* __GNU_MP__ */
    160 
    161 
    162 typedef __mpz_struct MP_INT;    /* gmp 1 source compatibility */
    163 typedef __mpz_struct mpz_t[1];
    164 
    165 typedef mp_limb_t *		mp_ptr;
    166 typedef const mp_limb_t *	mp_srcptr;
    167 #if defined (_CRAY) && ! defined (_CRAYMPP)
    168 /* plain `int' is much faster (48 bits) */
    169 #define __GMP_MP_SIZE_T_INT     1
    170 typedef int			mp_size_t;
    171 typedef int			mp_exp_t;
    172 #else
    173 #define __GMP_MP_SIZE_T_INT     0
    174 typedef long int		mp_size_t;
    175 typedef long int		mp_exp_t;
    176 #endif
    177 
    178 typedef struct
    179 {
    180   __mpz_struct _mp_num;
    181   __mpz_struct _mp_den;
    182 } __mpq_struct;
    183 
    184 typedef __mpq_struct MP_RAT;    /* gmp 1 source compatibility */
    185 typedef __mpq_struct mpq_t[1];
    186 
    187 typedef struct
    188 {
    189   int _mp_prec;			/* Max precision, in number of `mp_limb_t's.
    190 				   Set by mpf_init and modified by
    191 				   mpf_set_prec.  The area pointed to by the
    192 				   _mp_d field contains `prec' + 1 limbs.  */
    193   int _mp_size;			/* abs(_mp_size) is the number of limbs the
    194 				   last field points to.  If _mp_size is
    195 				   negative this is a negative number.  */
    196   mp_exp_t _mp_exp;		/* Exponent, in the base of `mp_limb_t'.  */
    197   mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
    198 } __mpf_struct;
    199 
    200 /* typedef __mpf_struct MP_FLOAT; */
    201 typedef __mpf_struct mpf_t[1];
    202 
    203 /* Available random number generation algorithms.  */
    204 typedef enum
    205 {
    206   GMP_RAND_ALG_DEFAULT = 0,
    207   GMP_RAND_ALG_LC = GMP_RAND_ALG_DEFAULT /* Linear congruential.  */
    208 } gmp_randalg_t;
    209 
    210 /* Random state struct.  */
    211 typedef struct
    212 {
    213   mpz_t _mp_seed;	  /* _mp_d member points to state of the generator. */
    214   gmp_randalg_t _mp_alg;  /* Currently unused. */
    215   union {
    216     void *_mp_lc;         /* Pointer to function pointers structure.  */
    217   } _mp_algdata;
    218 } __gmp_randstate_struct;
    219 typedef __gmp_randstate_struct gmp_randstate_t[1];
    220 
    221 /* Types for function declarations in gmp files.  */
    222 /* ??? Should not pollute user name space with these ??? */
    223 typedef const __mpz_struct *mpz_srcptr;
    224 typedef __mpz_struct *mpz_ptr;
    225 typedef const __mpf_struct *mpf_srcptr;
    226 typedef __mpf_struct *mpf_ptr;
    227 typedef const __mpq_struct *mpq_srcptr;
    228 typedef __mpq_struct *mpq_ptr;
    229 
    230 
    231 /* This is not wanted in mp.h, so put it outside the __GNU_MP__ common
    232    section. */
    233 #if __GMP_LIBGMP_DLL
    234 #ifdef __GMP_WITHIN_GMPXX
    235 /* compiling to go into a DLL libgmpxx */
    236 #define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_EXPORT
    237 #else
    238 /* compiling to go into a application which will link to a DLL libgmpxx */
    239 #define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_IMPORT
    240 #endif
    241 #else
    242 /* all other cases */
    243 #define __GMP_DECLSPEC_XX
    244 #endif
    245 
    246 
    247 #ifndef __MPN
    248 #define __MPN(x) __gmpn_##x
    249 #endif
    250 
    251 /* For reference, "defined(EOF)" cannot be used here.  In g++ 2.95.4,
    252    <iostream> defines EOF but not FILE.  */
    253 #if defined (FILE)                                              \
    254   || defined (H_STDIO)                                          \
    255   || defined (_H_STDIO)               /* AIX */                 \
    256   || defined (_STDIO_H)               /* glibc, Sun, SCO */     \
    257   || defined (_STDIO_H_)              /* BSD, OSF */            \
    258   || defined (__STDIO_H)              /* Borland */             \
    259   || defined (__STDIO_H__)            /* IRIX */                \
    260   || defined (_STDIO_INCLUDED)        /* HPUX */                \
    261   || defined (__dj_include_stdio_h_)  /* DJGPP */               \
    262   || defined (_FILE_DEFINED)          /* Microsoft */           \
    263   || defined (__STDIO__)              /* Apple MPW MrC */       \
    264   || defined (_MSL_STDIO_H)           /* Metrowerks */          \
    265   || defined (_STDIO_H_INCLUDED)      /* QNX4 */		\
    266   || defined (_ISO_STDIO_ISO_H)       /* Sun C++ */		\
    267   || defined (__STDIO_LOADED)         /* VMS */
    268 #define _GMP_H_HAVE_FILE 1
    269 #endif
    270 
    271 /* In ISO C, if a prototype involving "struct obstack *" is given without
    272    that structure defined, then the struct is scoped down to just the
    273    prototype, causing a conflict if it's subsequently defined for real.  So
    274    only give prototypes if we've got obstack.h.  */
    275 #if defined (_OBSTACK_H)   /* glibc <obstack.h> */
    276 #define _GMP_H_HAVE_OBSTACK 1
    277 #endif
    278 
    279 /* The prototypes for gmp_vprintf etc are provided only if va_list is
    280    available, via an application having included <stdarg.h> or <varargs.h>.
    281    Usually va_list is a typedef so can't be tested directly, but C99
    282    specifies that va_start is a macro (and it was normally a macro on past
    283    systems too), so look for that.
    284 
    285    <stdio.h> will define some sort of va_list for vprintf and vfprintf, but
    286    let's not bother trying to use that since it's not standard and since
    287    application uses for gmp_vprintf etc will almost certainly require the
    288    whole <stdarg.h> or <varargs.h> anyway.  */
    289 
    290 #ifdef va_start
    291 #define _GMP_H_HAVE_VA_LIST 1
    292 #endif
    293 
    294 /* Test for gcc >= maj.min, as per __GNUC_PREREQ in glibc */
    295 #if defined (__GNUC__) && defined (__GNUC_MINOR__)
    296 #define __GMP_GNUC_PREREQ(maj, min) \
    297   ((__GNUC__ << 16) + __GNUC_MINOR__ >= ((maj) << 16) + (min))
    298 #else
    299 #define __GMP_GNUC_PREREQ(maj, min)  0
    300 #endif
    301 
    302 /* "pure" is in gcc 2.96 and up, see "(gcc)Function Attributes".  Basically
    303    it means a function does nothing but examine its arguments and memory
    304    (global or via arguments) to generate a return value, but changes nothing
    305    and has no side-effects.  __GMP_NO_ATTRIBUTE_CONST_PURE lets
    306    tune/common.c etc turn this off when trying to write timing loops.  */
    307 #if __GMP_GNUC_PREREQ (2,96) && ! defined (__GMP_NO_ATTRIBUTE_CONST_PURE)
    308 #define __GMP_ATTRIBUTE_PURE   __attribute__ ((__pure__))
    309 #else
    310 #define __GMP_ATTRIBUTE_PURE
    311 #endif
    312 
    313 
    314 /* __GMP_CAST allows us to use static_cast in C++, so our macros are clean
    315    to "g++ -Wold-style-cast".
    316 
    317    Casts in "extern inline" code within an extern "C" block don't induce
    318    these warnings, so __GMP_CAST only needs to be used on documented
    319    macros.  */
    320 
    321 #ifdef __cplusplus
    322 #define __GMP_CAST(type, expr)  (static_cast<type> (expr))
    323 #else
    324 #define __GMP_CAST(type, expr)  ((type) (expr))
    325 #endif
    326 
    327 
    328 /* An empty "throw ()" means the function doesn't throw any C++ exceptions,
    329    this can save some stack frame info in applications.
    330 
    331    Currently it's given only on functions which never divide-by-zero etc,
    332    don't allocate memory, and are expected to never need to allocate memory.
    333    This leaves open the possibility of a C++ throw from a future GMP
    334    exceptions scheme.
    335 
    336    mpz_set_ui etc are omitted to leave open the lazy allocation scheme
    337    described in doc/tasks.html.  mpz_get_d etc are omitted to leave open
    338    exceptions for float overflows.
    339 
    340    Note that __GMP_NOTHROW must be given on any inlines the same as on their
    341    prototypes (for g++ at least, where they're used together).  Note also
    342    that g++ 3.0 demands that __GMP_NOTHROW is before other attributes like
    343    __GMP_ATTRIBUTE_PURE.  */
    344 
    345 #if defined (__cplusplus)
    346 #define __GMP_NOTHROW  throw ()
    347 #else
    348 #define __GMP_NOTHROW
    349 #endif
    350 
    351 
    352 /* PORTME: What other compilers have a useful "extern inline"?  "static
    353    inline" would be an acceptable substitute if the compiler (or linker)
    354    discards unused statics.  */
    355 
    356  /* gcc has __inline__ in all modes, including strict ansi.  Give a prototype
    357     for an inline too, so as to correctly specify "dllimport" on windows, in
    358     case the function is called rather than inlined.
    359     GCC 4.3 and above with -std=c99 or -std=gnu99 implements ISO C99
    360     inline semantics, unless -fgnu89-inline is used.  */
    361 #ifdef __GNUC__
    362 #if (defined __GNUC_STDC_INLINE__) || \
    363     (__GNUC__ == 4 && __GNUC_MINOR__ >= 2) || (__GNUC__ > 4)
    364 #define __GMP_EXTERN_INLINE extern __inline__ __attribute__ ((__gnu_inline__))
    365 #endif
    366 #define __GMP_INLINE_PROTOTYPES  1
    367 #endif
    368 
    369 /* DEC C (eg. version 5.9) supports "static __inline foo()", even in -std1
    370    strict ANSI mode.  Inlining is done even when not optimizing (ie. -O0
    371    mode, which is the default), but an unnecessary local copy of foo is
    372    emitted unless -O is used.  "extern __inline" is accepted, but the
    373    "extern" appears to be ignored, ie. it becomes a plain global function
    374    but which is inlined within its file.  Don't know if all old versions of
    375    DEC C supported __inline, but as a start let's do the right thing for
    376    current versions.  */
    377 #ifdef __DECC
    378 #define __GMP_EXTERN_INLINE  static __inline
    379 #endif
    380 
    381 /* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict
    382    ANSI mode (__STDC__ is 1 in that mode).  Inlining only actually takes
    383    place under -O.  Without -O "foo" seems to be emitted whether it's used
    384    or not, which is wasteful.  "extern inline foo()" isn't useful, the
    385    "extern" is apparently ignored, so foo is inlined if possible but also
    386    emitted as a global, which causes multiple definition errors when
    387    building a shared libgmp.  */
    388 #ifdef __SCO_VERSION__
    389 #if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
    390   && ! defined (__GMP_EXTERN_INLINE)
    391 #define __GMP_EXTERN_INLINE  static inline
    392 #endif
    393 #endif
    394 
    395 /* Microsoft's C compiler accepts __inline */
    396 #ifdef _MSC_VER
    397 #define __GMP_EXTERN_INLINE  __inline
    398 #endif
    399 
    400 /* Recent enough Sun C compilers want "inline" */
    401 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x560 \
    402   && ! defined (__GMP_EXTERN_INLINE)
    403 #define __GMP_EXTERN_INLINE  inline
    404 #endif
    405 
    406 /* Somewhat older Sun C compilers want "static inline" */
    407 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x540 \
    408   && ! defined (__GMP_EXTERN_INLINE)
    409 #define __GMP_EXTERN_INLINE  static inline
    410 #endif
    411 
    412 
    413 /* C++ always has "inline" and since it's a normal feature the linker should
    414    discard duplicate non-inlined copies, or if it doesn't then that's a
    415    problem for everyone, not just GMP.  */
    416 #if defined (__cplusplus) && ! defined (__GMP_EXTERN_INLINE)
    417 #define __GMP_EXTERN_INLINE  inline
    418 #endif
    419 
    420 /* Don't do any inlining within a configure run, since if the compiler ends
    421    up emitting copies of the code into the object file it can end up
    422    demanding the various support routines (like mpn_popcount) for linking,
    423    making the "alloca" test and perhaps others fail.  And on hppa ia64 a
    424    pre-release gcc 3.2 was seen not respecting the "extern" in "extern
    425    __inline__", triggering this problem too.  */
    426 #if defined (__GMP_WITHIN_CONFIGURE) && ! __GMP_WITHIN_CONFIGURE_INLINE
    427 #undef __GMP_EXTERN_INLINE
    428 #endif
    429 
    430 /* By default, don't give a prototype when there's going to be an inline
    431    version.  Note in particular that Cray C++ objects to the combination of
    432    prototype and inline.  */
    433 #ifdef __GMP_EXTERN_INLINE
    434 #ifndef __GMP_INLINE_PROTOTYPES
    435 #define __GMP_INLINE_PROTOTYPES  0
    436 #endif
    437 #else
    438 #define __GMP_INLINE_PROTOTYPES  1
    439 #endif
    440 
    441 
    442 #define __GMP_ABS(x)   ((x) >= 0 ? (x) : -(x))
    443 #define __GMP_MAX(h,i) ((h) > (i) ? (h) : (i))
    444 
    445 /* __GMP_USHRT_MAX is not "~ (unsigned short) 0" because short is promoted
    446    to int by "~".  */
    447 #define __GMP_UINT_MAX   (~ (unsigned) 0)
    448 #define __GMP_ULONG_MAX  (~ (unsigned long) 0)
    449 #define __GMP_USHRT_MAX  ((unsigned short) ~0)
    450 
    451 
    452 /* __builtin_expect is in gcc 3.0, and not in 2.95. */
    453 #if __GMP_GNUC_PREREQ (3,0)
    454 #define __GMP_LIKELY(cond)    __builtin_expect ((cond) != 0, 1)
    455 #define __GMP_UNLIKELY(cond)  __builtin_expect ((cond) != 0, 0)
    456 #else
    457 #define __GMP_LIKELY(cond)    (cond)
    458 #define __GMP_UNLIKELY(cond)  (cond)
    459 #endif
    460 
    461 #ifdef _CRAY
    462 #define __GMP_CRAY_Pragma(str)  _Pragma (str)
    463 #else
    464 #define __GMP_CRAY_Pragma(str)
    465 #endif
    466 
    467 
    468 /* Allow direct user access to numerator and denominator of a mpq_t object.  */
    469 #define mpq_numref(Q) (&((Q)->_mp_num))
    470 #define mpq_denref(Q) (&((Q)->_mp_den))
    471 
    472 
    473 #if defined (__cplusplus)
    474 extern "C" {
    475 using std::FILE;
    476 #endif
    477 
    478 #define mp_set_memory_functions __gmp_set_memory_functions
    479 __GMP_DECLSPEC void mp_set_memory_functions (void *(*) (size_t),
    480 				      void *(*) (void *, size_t, size_t),
    481 				      void (*) (void *, size_t)) __GMP_NOTHROW;
    482 
    483 #define mp_get_memory_functions __gmp_get_memory_functions
    484 __GMP_DECLSPEC void mp_get_memory_functions (void *(**) (size_t),
    485                                       void *(**) (void *, size_t, size_t),
    486                                       void (**) (void *, size_t)) __GMP_NOTHROW;
    487 
    488 #define mp_bits_per_limb __gmp_bits_per_limb
    489 __GMP_DECLSPEC extern const int mp_bits_per_limb;
    490 
    491 #define gmp_errno __gmp_errno
    492 __GMP_DECLSPEC extern int gmp_errno;
    493 
    494 #define gmp_version __gmp_version
    495 __GMP_DECLSPEC extern const char * const gmp_version;
    496 
    497 
    498 /**************** Random number routines.  ****************/
    499 
    500 /* obsolete */
    501 #define gmp_randinit __gmp_randinit
    502 __GMP_DECLSPEC void gmp_randinit (gmp_randstate_t, gmp_randalg_t, ...);
    503 
    504 #define gmp_randinit_default __gmp_randinit_default
    505 __GMP_DECLSPEC void gmp_randinit_default (gmp_randstate_t);
    506 
    507 #define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
    508 __GMP_DECLSPEC void gmp_randinit_lc_2exp (gmp_randstate_t, mpz_srcptr, unsigned long int, mp_bitcnt_t);
    509 
    510 #define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size
    511 __GMP_DECLSPEC int gmp_randinit_lc_2exp_size (gmp_randstate_t, mp_bitcnt_t);
    512 
    513 #define gmp_randinit_mt __gmp_randinit_mt
    514 __GMP_DECLSPEC void gmp_randinit_mt (gmp_randstate_t);
    515 
    516 #define gmp_randinit_set __gmp_randinit_set
    517 __GMP_DECLSPEC void gmp_randinit_set (gmp_randstate_t, const __gmp_randstate_struct *);
    518 
    519 #define gmp_randseed __gmp_randseed
    520 __GMP_DECLSPEC void gmp_randseed (gmp_randstate_t, mpz_srcptr);
    521 
    522 #define gmp_randseed_ui __gmp_randseed_ui
    523 __GMP_DECLSPEC void gmp_randseed_ui (gmp_randstate_t, unsigned long int);
    524 
    525 #define gmp_randclear __gmp_randclear
    526 __GMP_DECLSPEC void gmp_randclear (gmp_randstate_t);
    527 
    528 #define gmp_urandomb_ui __gmp_urandomb_ui
    529 __GMP_DECLSPEC unsigned long gmp_urandomb_ui (gmp_randstate_t, unsigned long);
    530 
    531 #define gmp_urandomm_ui __gmp_urandomm_ui
    532 __GMP_DECLSPEC unsigned long gmp_urandomm_ui (gmp_randstate_t, unsigned long);
    533 
    534 
    535 /**************** Formatted output routines.  ****************/
    536 
    537 #define gmp_asprintf __gmp_asprintf
    538 __GMP_DECLSPEC int gmp_asprintf (char **, const char *, ...);
    539 
    540 #define gmp_fprintf __gmp_fprintf
    541 #ifdef _GMP_H_HAVE_FILE
    542 __GMP_DECLSPEC int gmp_fprintf (FILE *, const char *, ...);
    543 #endif
    544 
    545 #define gmp_obstack_printf __gmp_obstack_printf
    546 #if defined (_GMP_H_HAVE_OBSTACK)
    547 __GMP_DECLSPEC int gmp_obstack_printf (struct obstack *, const char *, ...);
    548 #endif
    549 
    550 #define gmp_obstack_vprintf __gmp_obstack_vprintf
    551 #if defined (_GMP_H_HAVE_OBSTACK) && defined (_GMP_H_HAVE_VA_LIST)
    552 __GMP_DECLSPEC int gmp_obstack_vprintf (struct obstack *, const char *, va_list);
    553 #endif
    554 
    555 #define gmp_printf __gmp_printf
    556 __GMP_DECLSPEC int gmp_printf (const char *, ...);
    557 
    558 #define gmp_snprintf __gmp_snprintf
    559 __GMP_DECLSPEC int gmp_snprintf (char *, size_t, const char *, ...);
    560 
    561 #define gmp_sprintf __gmp_sprintf
    562 __GMP_DECLSPEC int gmp_sprintf (char *, const char *, ...);
    563 
    564 #define gmp_vasprintf __gmp_vasprintf
    565 #if defined (_GMP_H_HAVE_VA_LIST)
    566 __GMP_DECLSPEC int gmp_vasprintf (char **, const char *, va_list);
    567 #endif
    568 
    569 #define gmp_vfprintf __gmp_vfprintf
    570 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
    571 __GMP_DECLSPEC int gmp_vfprintf (FILE *, const char *, va_list);
    572 #endif
    573 
    574 #define gmp_vprintf __gmp_vprintf
    575 #if defined (_GMP_H_HAVE_VA_LIST)
    576 __GMP_DECLSPEC int gmp_vprintf (const char *, va_list);
    577 #endif
    578 
    579 #define gmp_vsnprintf __gmp_vsnprintf
    580 #if defined (_GMP_H_HAVE_VA_LIST)
    581 __GMP_DECLSPEC int gmp_vsnprintf (char *, size_t, const char *, va_list);
    582 #endif
    583 
    584 #define gmp_vsprintf __gmp_vsprintf
    585 #if defined (_GMP_H_HAVE_VA_LIST)
    586 __GMP_DECLSPEC int gmp_vsprintf (char *, const char *, va_list);
    587 #endif
    588 
    589 
    590 /**************** Formatted input routines.  ****************/
    591 
    592 #define gmp_fscanf __gmp_fscanf
    593 #ifdef _GMP_H_HAVE_FILE
    594 __GMP_DECLSPEC int gmp_fscanf (FILE *, const char *, ...);
    595 #endif
    596 
    597 #define gmp_scanf __gmp_scanf
    598 __GMP_DECLSPEC int gmp_scanf (const char *, ...);
    599 
    600 #define gmp_sscanf __gmp_sscanf
    601 __GMP_DECLSPEC int gmp_sscanf (const char *, const char *, ...);
    602 
    603 #define gmp_vfscanf __gmp_vfscanf
    604 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
    605 __GMP_DECLSPEC int gmp_vfscanf (FILE *, const char *, va_list);
    606 #endif
    607 
    608 #define gmp_vscanf __gmp_vscanf
    609 #if defined (_GMP_H_HAVE_VA_LIST)
    610 __GMP_DECLSPEC int gmp_vscanf (const char *, va_list);
    611 #endif
    612 
    613 #define gmp_vsscanf __gmp_vsscanf
    614 #if defined (_GMP_H_HAVE_VA_LIST)
    615 __GMP_DECLSPEC int gmp_vsscanf (const char *, const char *, va_list);
    616 #endif
    617 
    618 
    619 /**************** Integer (i.e. Z) routines.  ****************/
    620 
    621 #define _mpz_realloc __gmpz_realloc
    622 #define mpz_realloc __gmpz_realloc
    623 __GMP_DECLSPEC void *_mpz_realloc (mpz_ptr, mp_size_t);
    624 
    625 #define mpz_abs __gmpz_abs
    626 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs)
    627 __GMP_DECLSPEC void mpz_abs (mpz_ptr, mpz_srcptr);
    628 #endif
    629 
    630 #define mpz_add __gmpz_add
    631 __GMP_DECLSPEC void mpz_add (mpz_ptr, mpz_srcptr, mpz_srcptr);
    632 
    633 #define mpz_add_ui __gmpz_add_ui
    634 __GMP_DECLSPEC void mpz_add_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    635 
    636 #define mpz_addmul __gmpz_addmul
    637 __GMP_DECLSPEC void mpz_addmul (mpz_ptr, mpz_srcptr, mpz_srcptr);
    638 
    639 #define mpz_addmul_ui __gmpz_addmul_ui
    640 __GMP_DECLSPEC void mpz_addmul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    641 
    642 #define mpz_and __gmpz_and
    643 __GMP_DECLSPEC void mpz_and (mpz_ptr, mpz_srcptr, mpz_srcptr);
    644 
    645 #define mpz_array_init __gmpz_array_init
    646 __GMP_DECLSPEC void mpz_array_init (mpz_ptr, mp_size_t, mp_size_t);
    647 
    648 #define mpz_bin_ui __gmpz_bin_ui
    649 __GMP_DECLSPEC void mpz_bin_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    650 
    651 #define mpz_bin_uiui __gmpz_bin_uiui
    652 __GMP_DECLSPEC void mpz_bin_uiui (mpz_ptr, unsigned long int, unsigned long int);
    653 
    654 #define mpz_cdiv_q __gmpz_cdiv_q
    655 __GMP_DECLSPEC void mpz_cdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
    656 
    657 #define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
    658 __GMP_DECLSPEC void mpz_cdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
    659 
    660 #define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
    661 __GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    662 
    663 #define mpz_cdiv_qr __gmpz_cdiv_qr
    664 __GMP_DECLSPEC void mpz_cdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
    665 
    666 #define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
    667 __GMP_DECLSPEC unsigned long int mpz_cdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
    668 
    669 #define mpz_cdiv_r __gmpz_cdiv_r
    670 __GMP_DECLSPEC void mpz_cdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
    671 
    672 #define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
    673 __GMP_DECLSPEC void mpz_cdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
    674 
    675 #define mpz_cdiv_r_ui __gmpz_cdiv_r_ui
    676 __GMP_DECLSPEC unsigned long int mpz_cdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    677 
    678 #define mpz_cdiv_ui __gmpz_cdiv_ui
    679 __GMP_DECLSPEC unsigned long int mpz_cdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
    680 
    681 #define mpz_clear __gmpz_clear
    682 __GMP_DECLSPEC void mpz_clear (mpz_ptr);
    683 
    684 #define mpz_clears __gmpz_clears
    685 __GMP_DECLSPEC void mpz_clears (mpz_ptr, ...);
    686 
    687 #define mpz_clrbit __gmpz_clrbit
    688 __GMP_DECLSPEC void mpz_clrbit (mpz_ptr, mp_bitcnt_t);
    689 
    690 #define mpz_cmp __gmpz_cmp
    691 __GMP_DECLSPEC int mpz_cmp (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    692 
    693 #define mpz_cmp_d __gmpz_cmp_d
    694 __GMP_DECLSPEC int mpz_cmp_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
    695 
    696 #define _mpz_cmp_si __gmpz_cmp_si
    697 __GMP_DECLSPEC int _mpz_cmp_si (mpz_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    698 
    699 #define _mpz_cmp_ui __gmpz_cmp_ui
    700 __GMP_DECLSPEC int _mpz_cmp_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    701 
    702 #define mpz_cmpabs __gmpz_cmpabs
    703 __GMP_DECLSPEC int mpz_cmpabs (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    704 
    705 #define mpz_cmpabs_d __gmpz_cmpabs_d
    706 __GMP_DECLSPEC int mpz_cmpabs_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
    707 
    708 #define mpz_cmpabs_ui __gmpz_cmpabs_ui
    709 __GMP_DECLSPEC int mpz_cmpabs_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    710 
    711 #define mpz_com __gmpz_com
    712 __GMP_DECLSPEC void mpz_com (mpz_ptr, mpz_srcptr);
    713 
    714 #define mpz_combit __gmpz_combit
    715 __GMP_DECLSPEC void mpz_combit (mpz_ptr, mp_bitcnt_t);
    716 
    717 #define mpz_congruent_p __gmpz_congruent_p
    718 __GMP_DECLSPEC int mpz_congruent_p (mpz_srcptr, mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    719 
    720 #define mpz_congruent_2exp_p __gmpz_congruent_2exp_p
    721 __GMP_DECLSPEC int mpz_congruent_2exp_p (mpz_srcptr, mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    722 
    723 #define mpz_congruent_ui_p __gmpz_congruent_ui_p
    724 __GMP_DECLSPEC int mpz_congruent_ui_p (mpz_srcptr, unsigned long, unsigned long) __GMP_ATTRIBUTE_PURE;
    725 
    726 #define mpz_divexact __gmpz_divexact
    727 __GMP_DECLSPEC void mpz_divexact (mpz_ptr, mpz_srcptr, mpz_srcptr);
    728 
    729 #define mpz_divexact_ui __gmpz_divexact_ui
    730 __GMP_DECLSPEC void mpz_divexact_ui (mpz_ptr, mpz_srcptr, unsigned long);
    731 
    732 #define mpz_divisible_p __gmpz_divisible_p
    733 __GMP_DECLSPEC int mpz_divisible_p (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    734 
    735 #define mpz_divisible_ui_p __gmpz_divisible_ui_p
    736 __GMP_DECLSPEC int mpz_divisible_ui_p (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
    737 
    738 #define mpz_divisible_2exp_p __gmpz_divisible_2exp_p
    739 __GMP_DECLSPEC int mpz_divisible_2exp_p (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    740 
    741 #define mpz_dump __gmpz_dump
    742 __GMP_DECLSPEC void mpz_dump (mpz_srcptr);
    743 
    744 #define mpz_export __gmpz_export
    745 __GMP_DECLSPEC void *mpz_export (void *, size_t *, int, size_t, int, size_t, mpz_srcptr);
    746 
    747 #define mpz_fac_ui __gmpz_fac_ui
    748 __GMP_DECLSPEC void mpz_fac_ui (mpz_ptr, unsigned long int);
    749 
    750 #define mpz_2fac_ui __gmpz_2fac_ui
    751 __GMP_DECLSPEC void mpz_2fac_ui (mpz_ptr, unsigned long int);
    752 
    753 #define mpz_mfac_uiui __gmpz_mfac_uiui
    754 __GMP_DECLSPEC void mpz_mfac_uiui (mpz_ptr, unsigned long int, unsigned long int);
    755 
    756 #define mpz_primorial_ui __gmpz_primorial_ui
    757 __GMP_DECLSPEC void mpz_primorial_ui (mpz_ptr, unsigned long int);
    758 
    759 #define mpz_fdiv_q __gmpz_fdiv_q
    760 __GMP_DECLSPEC void mpz_fdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
    761 
    762 #define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
    763 __GMP_DECLSPEC void mpz_fdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
    764 
    765 #define mpz_fdiv_q_ui __gmpz_fdiv_q_ui
    766 __GMP_DECLSPEC unsigned long int mpz_fdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    767 
    768 #define mpz_fdiv_qr __gmpz_fdiv_qr
    769 __GMP_DECLSPEC void mpz_fdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
    770 
    771 #define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui
    772 __GMP_DECLSPEC unsigned long int mpz_fdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
    773 
    774 #define mpz_fdiv_r __gmpz_fdiv_r
    775 __GMP_DECLSPEC void mpz_fdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
    776 
    777 #define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
    778 __GMP_DECLSPEC void mpz_fdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
    779 
    780 #define mpz_fdiv_r_ui __gmpz_fdiv_r_ui
    781 __GMP_DECLSPEC unsigned long int mpz_fdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    782 
    783 #define mpz_fdiv_ui __gmpz_fdiv_ui
    784 __GMP_DECLSPEC unsigned long int mpz_fdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
    785 
    786 #define mpz_fib_ui __gmpz_fib_ui
    787 __GMP_DECLSPEC void mpz_fib_ui (mpz_ptr, unsigned long int);
    788 
    789 #define mpz_fib2_ui __gmpz_fib2_ui
    790 __GMP_DECLSPEC void mpz_fib2_ui (mpz_ptr, mpz_ptr, unsigned long int);
    791 
    792 #define mpz_fits_sint_p __gmpz_fits_sint_p
    793 __GMP_DECLSPEC int mpz_fits_sint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    794 
    795 #define mpz_fits_slong_p __gmpz_fits_slong_p
    796 __GMP_DECLSPEC int mpz_fits_slong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    797 
    798 #define mpz_fits_sshort_p __gmpz_fits_sshort_p
    799 __GMP_DECLSPEC int mpz_fits_sshort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    800 
    801 #define mpz_fits_uint_p __gmpz_fits_uint_p
    802 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_uint_p)
    803 __GMP_DECLSPEC int mpz_fits_uint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    804 #endif
    805 
    806 #define mpz_fits_ulong_p __gmpz_fits_ulong_p
    807 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ulong_p)
    808 __GMP_DECLSPEC int mpz_fits_ulong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    809 #endif
    810 
    811 #define mpz_fits_ushort_p __gmpz_fits_ushort_p
    812 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ushort_p)
    813 __GMP_DECLSPEC int mpz_fits_ushort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    814 #endif
    815 
    816 #define mpz_gcd __gmpz_gcd
    817 __GMP_DECLSPEC void mpz_gcd (mpz_ptr, mpz_srcptr, mpz_srcptr);
    818 
    819 #define mpz_gcd_ui __gmpz_gcd_ui
    820 __GMP_DECLSPEC unsigned long int mpz_gcd_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    821 
    822 #define mpz_gcdext __gmpz_gcdext
    823 __GMP_DECLSPEC void mpz_gcdext (mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
    824 
    825 #define mpz_get_d __gmpz_get_d
    826 __GMP_DECLSPEC double mpz_get_d (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    827 
    828 #define mpz_get_d_2exp __gmpz_get_d_2exp
    829 __GMP_DECLSPEC double mpz_get_d_2exp (signed long int *, mpz_srcptr);
    830 
    831 #define mpz_get_si __gmpz_get_si
    832 __GMP_DECLSPEC /* signed */ long int mpz_get_si (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    833 
    834 #define mpz_get_str __gmpz_get_str
    835 __GMP_DECLSPEC char *mpz_get_str (char *, int, mpz_srcptr);
    836 
    837 #define mpz_get_ui __gmpz_get_ui
    838 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_get_ui)
    839 __GMP_DECLSPEC unsigned long int mpz_get_ui (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    840 #endif
    841 
    842 #define mpz_getlimbn __gmpz_getlimbn
    843 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_getlimbn)
    844 __GMP_DECLSPEC mp_limb_t mpz_getlimbn (mpz_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    845 #endif
    846 
    847 #define mpz_hamdist __gmpz_hamdist
    848 __GMP_DECLSPEC mp_bitcnt_t mpz_hamdist (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    849 
    850 #define mpz_import __gmpz_import
    851 __GMP_DECLSPEC void mpz_import (mpz_ptr, size_t, int, size_t, int, size_t, const void *);
    852 
    853 #define mpz_init __gmpz_init
    854 __GMP_DECLSPEC void mpz_init (mpz_ptr);
    855 
    856 #define mpz_init2 __gmpz_init2
    857 __GMP_DECLSPEC void mpz_init2 (mpz_ptr, mp_bitcnt_t);
    858 
    859 #define mpz_inits __gmpz_inits
    860 __GMP_DECLSPEC void mpz_inits (mpz_ptr, ...);
    861 
    862 #define mpz_init_set __gmpz_init_set
    863 __GMP_DECLSPEC void mpz_init_set (mpz_ptr, mpz_srcptr);
    864 
    865 #define mpz_init_set_d __gmpz_init_set_d
    866 __GMP_DECLSPEC void mpz_init_set_d (mpz_ptr, double);
    867 
    868 #define mpz_init_set_si __gmpz_init_set_si
    869 __GMP_DECLSPEC void mpz_init_set_si (mpz_ptr, signed long int);
    870 
    871 #define mpz_init_set_str __gmpz_init_set_str
    872 __GMP_DECLSPEC int mpz_init_set_str (mpz_ptr, const char *, int);
    873 
    874 #define mpz_init_set_ui __gmpz_init_set_ui
    875 __GMP_DECLSPEC void mpz_init_set_ui (mpz_ptr, unsigned long int);
    876 
    877 #define mpz_inp_raw __gmpz_inp_raw
    878 #ifdef _GMP_H_HAVE_FILE
    879 __GMP_DECLSPEC size_t mpz_inp_raw (mpz_ptr, FILE *);
    880 #endif
    881 
    882 #define mpz_inp_str __gmpz_inp_str
    883 #ifdef _GMP_H_HAVE_FILE
    884 __GMP_DECLSPEC size_t mpz_inp_str (mpz_ptr, FILE *, int);
    885 #endif
    886 
    887 #define mpz_invert __gmpz_invert
    888 __GMP_DECLSPEC int mpz_invert (mpz_ptr, mpz_srcptr, mpz_srcptr);
    889 
    890 #define mpz_ior __gmpz_ior
    891 __GMP_DECLSPEC void mpz_ior (mpz_ptr, mpz_srcptr, mpz_srcptr);
    892 
    893 #define mpz_jacobi __gmpz_jacobi
    894 __GMP_DECLSPEC int mpz_jacobi (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    895 
    896 #define mpz_kronecker mpz_jacobi  /* alias */
    897 
    898 #define mpz_kronecker_si __gmpz_kronecker_si
    899 __GMP_DECLSPEC int mpz_kronecker_si (mpz_srcptr, long) __GMP_ATTRIBUTE_PURE;
    900 
    901 #define mpz_kronecker_ui __gmpz_kronecker_ui
    902 __GMP_DECLSPEC int mpz_kronecker_ui (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
    903 
    904 #define mpz_si_kronecker __gmpz_si_kronecker
    905 __GMP_DECLSPEC int mpz_si_kronecker (long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    906 
    907 #define mpz_ui_kronecker __gmpz_ui_kronecker
    908 __GMP_DECLSPEC int mpz_ui_kronecker (unsigned long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    909 
    910 #define mpz_lcm __gmpz_lcm
    911 __GMP_DECLSPEC void mpz_lcm (mpz_ptr, mpz_srcptr, mpz_srcptr);
    912 
    913 #define mpz_lcm_ui __gmpz_lcm_ui
    914 __GMP_DECLSPEC void mpz_lcm_ui (mpz_ptr, mpz_srcptr, unsigned long);
    915 
    916 #define mpz_legendre mpz_jacobi  /* alias */
    917 
    918 #define mpz_lucnum_ui __gmpz_lucnum_ui
    919 __GMP_DECLSPEC void mpz_lucnum_ui (mpz_ptr, unsigned long int);
    920 
    921 #define mpz_lucnum2_ui __gmpz_lucnum2_ui
    922 __GMP_DECLSPEC void mpz_lucnum2_ui (mpz_ptr, mpz_ptr, unsigned long int);
    923 
    924 #define mpz_millerrabin __gmpz_millerrabin
    925 __GMP_DECLSPEC int mpz_millerrabin (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
    926 
    927 #define mpz_mod __gmpz_mod
    928 __GMP_DECLSPEC void mpz_mod (mpz_ptr, mpz_srcptr, mpz_srcptr);
    929 
    930 #define mpz_mod_ui mpz_fdiv_r_ui /* same as fdiv_r because divisor unsigned */
    931 
    932 #define mpz_mul __gmpz_mul
    933 __GMP_DECLSPEC void mpz_mul (mpz_ptr, mpz_srcptr, mpz_srcptr);
    934 
    935 #define mpz_mul_2exp __gmpz_mul_2exp
    936 __GMP_DECLSPEC void mpz_mul_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
    937 
    938 #define mpz_mul_si __gmpz_mul_si
    939 __GMP_DECLSPEC void mpz_mul_si (mpz_ptr, mpz_srcptr, long int);
    940 
    941 #define mpz_mul_ui __gmpz_mul_ui
    942 __GMP_DECLSPEC void mpz_mul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    943 
    944 #define mpz_neg __gmpz_neg
    945 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_neg)
    946 __GMP_DECLSPEC void mpz_neg (mpz_ptr, mpz_srcptr);
    947 #endif
    948 
    949 #define mpz_nextprime __gmpz_nextprime
    950 __GMP_DECLSPEC void mpz_nextprime (mpz_ptr, mpz_srcptr);
    951 
    952 #define mpz_out_raw __gmpz_out_raw
    953 #ifdef _GMP_H_HAVE_FILE
    954 __GMP_DECLSPEC size_t mpz_out_raw (FILE *, mpz_srcptr);
    955 #endif
    956 
    957 #define mpz_out_str __gmpz_out_str
    958 #ifdef _GMP_H_HAVE_FILE
    959 __GMP_DECLSPEC size_t mpz_out_str (FILE *, int, mpz_srcptr);
    960 #endif
    961 
    962 #define mpz_perfect_power_p __gmpz_perfect_power_p
    963 __GMP_DECLSPEC int mpz_perfect_power_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    964 
    965 #define mpz_perfect_square_p __gmpz_perfect_square_p
    966 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_perfect_square_p)
    967 __GMP_DECLSPEC int mpz_perfect_square_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    968 #endif
    969 
    970 #define mpz_popcount __gmpz_popcount
    971 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_popcount)
    972 __GMP_DECLSPEC mp_bitcnt_t mpz_popcount (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    973 #endif
    974 
    975 #define mpz_pow_ui __gmpz_pow_ui
    976 __GMP_DECLSPEC void mpz_pow_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    977 
    978 #define mpz_powm __gmpz_powm
    979 __GMP_DECLSPEC void mpz_powm (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
    980 
    981 #define mpz_powm_sec __gmpz_powm_sec
    982 __GMP_DECLSPEC void mpz_powm_sec (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
    983 
    984 #define mpz_powm_ui __gmpz_powm_ui
    985 __GMP_DECLSPEC void mpz_powm_ui (mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr);
    986 
    987 #define mpz_probab_prime_p __gmpz_probab_prime_p
    988 __GMP_DECLSPEC int mpz_probab_prime_p (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
    989 
    990 #define mpz_random __gmpz_random
    991 __GMP_DECLSPEC void mpz_random (mpz_ptr, mp_size_t);
    992 
    993 #define mpz_random2 __gmpz_random2
    994 __GMP_DECLSPEC void mpz_random2 (mpz_ptr, mp_size_t);
    995 
    996 #define mpz_realloc2 __gmpz_realloc2
    997 __GMP_DECLSPEC void mpz_realloc2 (mpz_ptr, mp_bitcnt_t);
    998 
    999 #define mpz_remove __gmpz_remove
   1000 __GMP_DECLSPEC mp_bitcnt_t mpz_remove (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1001 
   1002 #define mpz_root __gmpz_root
   1003 __GMP_DECLSPEC int mpz_root (mpz_ptr, mpz_srcptr, unsigned long int);
   1004 
   1005 #define mpz_rootrem __gmpz_rootrem
   1006 __GMP_DECLSPEC void mpz_rootrem (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
   1007 
   1008 #define mpz_rrandomb __gmpz_rrandomb
   1009 __GMP_DECLSPEC void mpz_rrandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
   1010 
   1011 #define mpz_scan0 __gmpz_scan0
   1012 __GMP_DECLSPEC mp_bitcnt_t mpz_scan0 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1013 
   1014 #define mpz_scan1 __gmpz_scan1
   1015 __GMP_DECLSPEC mp_bitcnt_t mpz_scan1 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1016 
   1017 #define mpz_set __gmpz_set
   1018 __GMP_DECLSPEC void mpz_set (mpz_ptr, mpz_srcptr);
   1019 
   1020 #define mpz_set_d __gmpz_set_d
   1021 __GMP_DECLSPEC void mpz_set_d (mpz_ptr, double);
   1022 
   1023 #define mpz_set_f __gmpz_set_f
   1024 __GMP_DECLSPEC void mpz_set_f (mpz_ptr, mpf_srcptr);
   1025 
   1026 #define mpz_set_q __gmpz_set_q
   1027 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_set_q)
   1028 __GMP_DECLSPEC void mpz_set_q (mpz_ptr, mpq_srcptr);
   1029 #endif
   1030 
   1031 #define mpz_set_si __gmpz_set_si
   1032 __GMP_DECLSPEC void mpz_set_si (mpz_ptr, signed long int);
   1033 
   1034 #define mpz_set_str __gmpz_set_str
   1035 __GMP_DECLSPEC int mpz_set_str (mpz_ptr, const char *, int);
   1036 
   1037 #define mpz_set_ui __gmpz_set_ui
   1038 __GMP_DECLSPEC void mpz_set_ui (mpz_ptr, unsigned long int);
   1039 
   1040 #define mpz_setbit __gmpz_setbit
   1041 __GMP_DECLSPEC void mpz_setbit (mpz_ptr, mp_bitcnt_t);
   1042 
   1043 #define mpz_size __gmpz_size
   1044 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_size)
   1045 __GMP_DECLSPEC size_t mpz_size (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1046 #endif
   1047 
   1048 #define mpz_sizeinbase __gmpz_sizeinbase
   1049 __GMP_DECLSPEC size_t mpz_sizeinbase (mpz_srcptr, int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1050 
   1051 #define mpz_sqrt __gmpz_sqrt
   1052 __GMP_DECLSPEC void mpz_sqrt (mpz_ptr, mpz_srcptr);
   1053 
   1054 #define mpz_sqrtrem __gmpz_sqrtrem
   1055 __GMP_DECLSPEC void mpz_sqrtrem (mpz_ptr, mpz_ptr, mpz_srcptr);
   1056 
   1057 #define mpz_sub __gmpz_sub
   1058 __GMP_DECLSPEC void mpz_sub (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1059 
   1060 #define mpz_sub_ui __gmpz_sub_ui
   1061 __GMP_DECLSPEC void mpz_sub_ui (mpz_ptr, mpz_srcptr, unsigned long int);
   1062 
   1063 #define mpz_ui_sub __gmpz_ui_sub
   1064 __GMP_DECLSPEC void mpz_ui_sub (mpz_ptr, unsigned long int, mpz_srcptr);
   1065 
   1066 #define mpz_submul __gmpz_submul
   1067 __GMP_DECLSPEC void mpz_submul (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1068 
   1069 #define mpz_submul_ui __gmpz_submul_ui
   1070 __GMP_DECLSPEC void mpz_submul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
   1071 
   1072 #define mpz_swap __gmpz_swap
   1073 __GMP_DECLSPEC void mpz_swap (mpz_ptr, mpz_ptr) __GMP_NOTHROW;
   1074 
   1075 #define mpz_tdiv_ui __gmpz_tdiv_ui
   1076 __GMP_DECLSPEC unsigned long int mpz_tdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
   1077 
   1078 #define mpz_tdiv_q __gmpz_tdiv_q
   1079 __GMP_DECLSPEC void mpz_tdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1080 
   1081 #define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp
   1082 __GMP_DECLSPEC void mpz_tdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
   1083 
   1084 #define mpz_tdiv_q_ui __gmpz_tdiv_q_ui
   1085 __GMP_DECLSPEC unsigned long int mpz_tdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
   1086 
   1087 #define mpz_tdiv_qr __gmpz_tdiv_qr
   1088 __GMP_DECLSPEC void mpz_tdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
   1089 
   1090 #define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui
   1091 __GMP_DECLSPEC unsigned long int mpz_tdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
   1092 
   1093 #define mpz_tdiv_r __gmpz_tdiv_r
   1094 __GMP_DECLSPEC void mpz_tdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1095 
   1096 #define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp
   1097 __GMP_DECLSPEC void mpz_tdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
   1098 
   1099 #define mpz_tdiv_r_ui __gmpz_tdiv_r_ui
   1100 __GMP_DECLSPEC unsigned long int mpz_tdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
   1101 
   1102 #define mpz_tstbit __gmpz_tstbit
   1103 __GMP_DECLSPEC int mpz_tstbit (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1104 
   1105 #define mpz_ui_pow_ui __gmpz_ui_pow_ui
   1106 __GMP_DECLSPEC void mpz_ui_pow_ui (mpz_ptr, unsigned long int, unsigned long int);
   1107 
   1108 #define mpz_urandomb __gmpz_urandomb
   1109 __GMP_DECLSPEC void mpz_urandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
   1110 
   1111 #define mpz_urandomm __gmpz_urandomm
   1112 __GMP_DECLSPEC void mpz_urandomm (mpz_ptr, gmp_randstate_t, mpz_srcptr);
   1113 
   1114 #define mpz_xor __gmpz_xor
   1115 #define mpz_eor __gmpz_xor
   1116 __GMP_DECLSPEC void mpz_xor (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1117 
   1118 
   1119 /**************** Rational (i.e. Q) routines.  ****************/
   1120 
   1121 #define mpq_abs __gmpq_abs
   1122 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_abs)
   1123 __GMP_DECLSPEC void mpq_abs (mpq_ptr, mpq_srcptr);
   1124 #endif
   1125 
   1126 #define mpq_add __gmpq_add
   1127 __GMP_DECLSPEC void mpq_add (mpq_ptr, mpq_srcptr, mpq_srcptr);
   1128 
   1129 #define mpq_canonicalize __gmpq_canonicalize
   1130 __GMP_DECLSPEC void mpq_canonicalize (mpq_ptr);
   1131 
   1132 #define mpq_clear __gmpq_clear
   1133 __GMP_DECLSPEC void mpq_clear (mpq_ptr);
   1134 
   1135 #define mpq_clears __gmpq_clears
   1136 __GMP_DECLSPEC void mpq_clears (mpq_ptr, ...);
   1137 
   1138 #define mpq_cmp __gmpq_cmp
   1139 __GMP_DECLSPEC int mpq_cmp (mpq_srcptr, mpq_srcptr) __GMP_ATTRIBUTE_PURE;
   1140 
   1141 #define _mpq_cmp_si __gmpq_cmp_si
   1142 __GMP_DECLSPEC int _mpq_cmp_si (mpq_srcptr, long, unsigned long) __GMP_ATTRIBUTE_PURE;
   1143 
   1144 #define _mpq_cmp_ui __gmpq_cmp_ui
   1145 __GMP_DECLSPEC int _mpq_cmp_ui (mpq_srcptr, unsigned long int, unsigned long int) __GMP_ATTRIBUTE_PURE;
   1146 
   1147 #define mpq_div __gmpq_div
   1148 __GMP_DECLSPEC void mpq_div (mpq_ptr, mpq_srcptr, mpq_srcptr);
   1149 
   1150 #define mpq_div_2exp __gmpq_div_2exp
   1151 __GMP_DECLSPEC void mpq_div_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
   1152 
   1153 #define mpq_equal __gmpq_equal
   1154 __GMP_DECLSPEC int mpq_equal (mpq_srcptr, mpq_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1155 
   1156 #define mpq_get_num __gmpq_get_num
   1157 __GMP_DECLSPEC void mpq_get_num (mpz_ptr, mpq_srcptr);
   1158 
   1159 #define mpq_get_den __gmpq_get_den
   1160 __GMP_DECLSPEC void mpq_get_den (mpz_ptr, mpq_srcptr);
   1161 
   1162 #define mpq_get_d __gmpq_get_d
   1163 __GMP_DECLSPEC double mpq_get_d (mpq_srcptr) __GMP_ATTRIBUTE_PURE;
   1164 
   1165 #define mpq_get_str __gmpq_get_str
   1166 __GMP_DECLSPEC char *mpq_get_str (char *, int, mpq_srcptr);
   1167 
   1168 #define mpq_init __gmpq_init
   1169 __GMP_DECLSPEC void mpq_init (mpq_ptr);
   1170 
   1171 #define mpq_inits __gmpq_inits
   1172 __GMP_DECLSPEC void mpq_inits (mpq_ptr, ...);
   1173 
   1174 #define mpq_inp_str __gmpq_inp_str
   1175 #ifdef _GMP_H_HAVE_FILE
   1176 __GMP_DECLSPEC size_t mpq_inp_str (mpq_ptr, FILE *, int);
   1177 #endif
   1178 
   1179 #define mpq_inv __gmpq_inv
   1180 __GMP_DECLSPEC void mpq_inv (mpq_ptr, mpq_srcptr);
   1181 
   1182 #define mpq_mul __gmpq_mul
   1183 __GMP_DECLSPEC void mpq_mul (mpq_ptr, mpq_srcptr, mpq_srcptr);
   1184 
   1185 #define mpq_mul_2exp __gmpq_mul_2exp
   1186 __GMP_DECLSPEC void mpq_mul_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
   1187 
   1188 #define mpq_neg __gmpq_neg
   1189 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_neg)
   1190 __GMP_DECLSPEC void mpq_neg (mpq_ptr, mpq_srcptr);
   1191 #endif
   1192 
   1193 #define mpq_out_str __gmpq_out_str
   1194 #ifdef _GMP_H_HAVE_FILE
   1195 __GMP_DECLSPEC size_t mpq_out_str (FILE *, int, mpq_srcptr);
   1196 #endif
   1197 
   1198 #define mpq_set __gmpq_set
   1199 __GMP_DECLSPEC void mpq_set (mpq_ptr, mpq_srcptr);
   1200 
   1201 #define mpq_set_d __gmpq_set_d
   1202 __GMP_DECLSPEC void mpq_set_d (mpq_ptr, double);
   1203 
   1204 #define mpq_set_den __gmpq_set_den
   1205 __GMP_DECLSPEC void mpq_set_den (mpq_ptr, mpz_srcptr);
   1206 
   1207 #define mpq_set_f __gmpq_set_f
   1208 __GMP_DECLSPEC void mpq_set_f (mpq_ptr, mpf_srcptr);
   1209 
   1210 #define mpq_set_num __gmpq_set_num
   1211 __GMP_DECLSPEC void mpq_set_num (mpq_ptr, mpz_srcptr);
   1212 
   1213 #define mpq_set_si __gmpq_set_si
   1214 __GMP_DECLSPEC void mpq_set_si (mpq_ptr, signed long int, unsigned long int);
   1215 
   1216 #define mpq_set_str __gmpq_set_str
   1217 __GMP_DECLSPEC int mpq_set_str (mpq_ptr, const char *, int);
   1218 
   1219 #define mpq_set_ui __gmpq_set_ui
   1220 __GMP_DECLSPEC void mpq_set_ui (mpq_ptr, unsigned long int, unsigned long int);
   1221 
   1222 #define mpq_set_z __gmpq_set_z
   1223 __GMP_DECLSPEC void mpq_set_z (mpq_ptr, mpz_srcptr);
   1224 
   1225 #define mpq_sub __gmpq_sub
   1226 __GMP_DECLSPEC void mpq_sub (mpq_ptr, mpq_srcptr, mpq_srcptr);
   1227 
   1228 #define mpq_swap __gmpq_swap
   1229 __GMP_DECLSPEC void mpq_swap (mpq_ptr, mpq_ptr) __GMP_NOTHROW;
   1230 
   1231 
   1232 /**************** Float (i.e. F) routines.  ****************/
   1233 
   1234 #define mpf_abs __gmpf_abs
   1235 __GMP_DECLSPEC void mpf_abs (mpf_ptr, mpf_srcptr);
   1236 
   1237 #define mpf_add __gmpf_add
   1238 __GMP_DECLSPEC void mpf_add (mpf_ptr, mpf_srcptr, mpf_srcptr);
   1239 
   1240 #define mpf_add_ui __gmpf_add_ui
   1241 __GMP_DECLSPEC void mpf_add_ui (mpf_ptr, mpf_srcptr, unsigned long int);
   1242 #define mpf_ceil __gmpf_ceil
   1243 __GMP_DECLSPEC void mpf_ceil (mpf_ptr, mpf_srcptr);
   1244 
   1245 #define mpf_clear __gmpf_clear
   1246 __GMP_DECLSPEC void mpf_clear (mpf_ptr);
   1247 
   1248 #define mpf_clears __gmpf_clears
   1249 __GMP_DECLSPEC void mpf_clears (mpf_ptr, ...);
   1250 
   1251 #define mpf_cmp __gmpf_cmp
   1252 __GMP_DECLSPEC int mpf_cmp (mpf_srcptr, mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1253 
   1254 #define mpf_cmp_d __gmpf_cmp_d
   1255 __GMP_DECLSPEC int mpf_cmp_d (mpf_srcptr, double) __GMP_ATTRIBUTE_PURE;
   1256 
   1257 #define mpf_cmp_si __gmpf_cmp_si
   1258 __GMP_DECLSPEC int mpf_cmp_si (mpf_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1259 
   1260 #define mpf_cmp_ui __gmpf_cmp_ui
   1261 __GMP_DECLSPEC int mpf_cmp_ui (mpf_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1262 
   1263 #define mpf_div __gmpf_div
   1264 __GMP_DECLSPEC void mpf_div (mpf_ptr, mpf_srcptr, mpf_srcptr);
   1265 
   1266 #define mpf_div_2exp __gmpf_div_2exp
   1267 __GMP_DECLSPEC void mpf_div_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
   1268 
   1269 #define mpf_div_ui __gmpf_div_ui
   1270 __GMP_DECLSPEC void mpf_div_ui (mpf_ptr, mpf_srcptr, unsigned long int);
   1271 
   1272 #define mpf_dump __gmpf_dump
   1273 __GMP_DECLSPEC void mpf_dump (mpf_srcptr);
   1274 
   1275 #define mpf_eq __gmpf_eq
   1276 __GMP_DECLSPEC int mpf_eq (mpf_srcptr, mpf_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
   1277 
   1278 #define mpf_fits_sint_p __gmpf_fits_sint_p
   1279 __GMP_DECLSPEC int mpf_fits_sint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1280 
   1281 #define mpf_fits_slong_p __gmpf_fits_slong_p
   1282 __GMP_DECLSPEC int mpf_fits_slong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1283 
   1284 #define mpf_fits_sshort_p __gmpf_fits_sshort_p
   1285 __GMP_DECLSPEC int mpf_fits_sshort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1286 
   1287 #define mpf_fits_uint_p __gmpf_fits_uint_p
   1288 __GMP_DECLSPEC int mpf_fits_uint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1289 
   1290 #define mpf_fits_ulong_p __gmpf_fits_ulong_p
   1291 __GMP_DECLSPEC int mpf_fits_ulong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1292 
   1293 #define mpf_fits_ushort_p __gmpf_fits_ushort_p
   1294 __GMP_DECLSPEC int mpf_fits_ushort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1295 
   1296 #define mpf_floor __gmpf_floor
   1297 __GMP_DECLSPEC void mpf_floor (mpf_ptr, mpf_srcptr);
   1298 
   1299 #define mpf_get_d __gmpf_get_d
   1300 __GMP_DECLSPEC double mpf_get_d (mpf_srcptr) __GMP_ATTRIBUTE_PURE;
   1301 
   1302 #define mpf_get_d_2exp __gmpf_get_d_2exp
   1303 __GMP_DECLSPEC double mpf_get_d_2exp (signed long int *, mpf_srcptr);
   1304 
   1305 #define mpf_get_default_prec __gmpf_get_default_prec
   1306 __GMP_DECLSPEC mp_bitcnt_t mpf_get_default_prec (void) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1307 
   1308 #define mpf_get_prec __gmpf_get_prec
   1309 __GMP_DECLSPEC mp_bitcnt_t mpf_get_prec (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1310 
   1311 #define mpf_get_si __gmpf_get_si
   1312 __GMP_DECLSPEC long mpf_get_si (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1313 
   1314 #define mpf_get_str __gmpf_get_str
   1315 __GMP_DECLSPEC char *mpf_get_str (char *, mp_exp_t *, int, size_t, mpf_srcptr);
   1316 
   1317 #define mpf_get_ui __gmpf_get_ui
   1318 __GMP_DECLSPEC unsigned long mpf_get_ui (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1319 
   1320 #define mpf_init __gmpf_init
   1321 __GMP_DECLSPEC void mpf_init (mpf_ptr);
   1322 
   1323 #define mpf_init2 __gmpf_init2
   1324 __GMP_DECLSPEC void mpf_init2 (mpf_ptr, mp_bitcnt_t);
   1325 
   1326 #define mpf_inits __gmpf_inits
   1327 __GMP_DECLSPEC void mpf_inits (mpf_ptr, ...);
   1328 
   1329 #define mpf_init_set __gmpf_init_set
   1330 __GMP_DECLSPEC void mpf_init_set (mpf_ptr, mpf_srcptr);
   1331 
   1332 #define mpf_init_set_d __gmpf_init_set_d
   1333 __GMP_DECLSPEC void mpf_init_set_d (mpf_ptr, double);
   1334 
   1335 #define mpf_init_set_si __gmpf_init_set_si
   1336 __GMP_DECLSPEC void mpf_init_set_si (mpf_ptr, signed long int);
   1337 
   1338 #define mpf_init_set_str __gmpf_init_set_str
   1339 __GMP_DECLSPEC int mpf_init_set_str (mpf_ptr, const char *, int);
   1340 
   1341 #define mpf_init_set_ui __gmpf_init_set_ui
   1342 __GMP_DECLSPEC void mpf_init_set_ui (mpf_ptr, unsigned long int);
   1343 
   1344 #define mpf_inp_str __gmpf_inp_str
   1345 #ifdef _GMP_H_HAVE_FILE
   1346 __GMP_DECLSPEC size_t mpf_inp_str (mpf_ptr, FILE *, int);
   1347 #endif
   1348 
   1349 #define mpf_integer_p __gmpf_integer_p
   1350 __GMP_DECLSPEC int mpf_integer_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1351 
   1352 #define mpf_mul __gmpf_mul
   1353 __GMP_DECLSPEC void mpf_mul (mpf_ptr, mpf_srcptr, mpf_srcptr);
   1354 
   1355 #define mpf_mul_2exp __gmpf_mul_2exp
   1356 __GMP_DECLSPEC void mpf_mul_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
   1357 
   1358 #define mpf_mul_ui __gmpf_mul_ui
   1359 __GMP_DECLSPEC void mpf_mul_ui (mpf_ptr, mpf_srcptr, unsigned long int);
   1360 
   1361 #define mpf_neg __gmpf_neg
   1362 __GMP_DECLSPEC void mpf_neg (mpf_ptr, mpf_srcptr);
   1363 
   1364 #define mpf_out_str __gmpf_out_str
   1365 #ifdef _GMP_H_HAVE_FILE
   1366 __GMP_DECLSPEC size_t mpf_out_str (FILE *, int, size_t, mpf_srcptr);
   1367 #endif
   1368 
   1369 #define mpf_pow_ui __gmpf_pow_ui
   1370 __GMP_DECLSPEC void mpf_pow_ui (mpf_ptr, mpf_srcptr, unsigned long int);
   1371 
   1372 #define mpf_random2 __gmpf_random2
   1373 __GMP_DECLSPEC void mpf_random2 (mpf_ptr, mp_size_t, mp_exp_t);
   1374 
   1375 #define mpf_reldiff __gmpf_reldiff
   1376 __GMP_DECLSPEC void mpf_reldiff (mpf_ptr, mpf_srcptr, mpf_srcptr);
   1377 
   1378 #define mpf_set __gmpf_set
   1379 __GMP_DECLSPEC void mpf_set (mpf_ptr, mpf_srcptr);
   1380 
   1381 #define mpf_set_d __gmpf_set_d
   1382 __GMP_DECLSPEC void mpf_set_d (mpf_ptr, double);
   1383 
   1384 #define mpf_set_default_prec __gmpf_set_default_prec
   1385 __GMP_DECLSPEC void mpf_set_default_prec (mp_bitcnt_t) __GMP_NOTHROW;
   1386 
   1387 #define mpf_set_prec __gmpf_set_prec
   1388 __GMP_DECLSPEC void mpf_set_prec (mpf_ptr, mp_bitcnt_t);
   1389 
   1390 #define mpf_set_prec_raw __gmpf_set_prec_raw
   1391 __GMP_DECLSPEC void mpf_set_prec_raw (mpf_ptr, mp_bitcnt_t) __GMP_NOTHROW;
   1392 
   1393 #define mpf_set_q __gmpf_set_q
   1394 __GMP_DECLSPEC void mpf_set_q (mpf_ptr, mpq_srcptr);
   1395 
   1396 #define mpf_set_si __gmpf_set_si
   1397 __GMP_DECLSPEC void mpf_set_si (mpf_ptr, signed long int);
   1398 
   1399 #define mpf_set_str __gmpf_set_str
   1400 __GMP_DECLSPEC int mpf_set_str (mpf_ptr, const char *, int);
   1401 
   1402 #define mpf_set_ui __gmpf_set_ui
   1403 __GMP_DECLSPEC void mpf_set_ui (mpf_ptr, unsigned long int);
   1404 
   1405 #define mpf_set_z __gmpf_set_z
   1406 __GMP_DECLSPEC void mpf_set_z (mpf_ptr, mpz_srcptr);
   1407 
   1408 #define mpf_size __gmpf_size
   1409 __GMP_DECLSPEC size_t mpf_size (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1410 
   1411 #define mpf_sqrt __gmpf_sqrt
   1412 __GMP_DECLSPEC void mpf_sqrt (mpf_ptr, mpf_srcptr);
   1413 
   1414 #define mpf_sqrt_ui __gmpf_sqrt_ui
   1415 __GMP_DECLSPEC void mpf_sqrt_ui (mpf_ptr, unsigned long int);
   1416 
   1417 #define mpf_sub __gmpf_sub
   1418 __GMP_DECLSPEC void mpf_sub (mpf_ptr, mpf_srcptr, mpf_srcptr);
   1419 
   1420 #define mpf_sub_ui __gmpf_sub_ui
   1421 __GMP_DECLSPEC void mpf_sub_ui (mpf_ptr, mpf_srcptr, unsigned long int);
   1422 
   1423 #define mpf_swap __gmpf_swap
   1424 __GMP_DECLSPEC void mpf_swap (mpf_ptr, mpf_ptr) __GMP_NOTHROW;
   1425 
   1426 #define mpf_trunc __gmpf_trunc
   1427 __GMP_DECLSPEC void mpf_trunc (mpf_ptr, mpf_srcptr);
   1428 
   1429 #define mpf_ui_div __gmpf_ui_div
   1430 __GMP_DECLSPEC void mpf_ui_div (mpf_ptr, unsigned long int, mpf_srcptr);
   1431 
   1432 #define mpf_ui_sub __gmpf_ui_sub
   1433 __GMP_DECLSPEC void mpf_ui_sub (mpf_ptr, unsigned long int, mpf_srcptr);
   1434 
   1435 #define mpf_urandomb __gmpf_urandomb
   1436 __GMP_DECLSPEC void mpf_urandomb (mpf_t, gmp_randstate_t, mp_bitcnt_t);
   1437 
   1438 
   1439 /************ Low level positive-integer (i.e. N) routines.  ************/
   1440 
   1441 /* This is ugly, but we need to make user calls reach the prefixed function. */
   1442 
   1443 #define mpn_add __MPN(add)
   1444 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add)
   1445 __GMP_DECLSPEC mp_limb_t mpn_add (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
   1446 #endif
   1447 
   1448 #define mpn_add_1 __MPN(add_1)
   1449 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add_1)
   1450 __GMP_DECLSPEC mp_limb_t mpn_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
   1451 #endif
   1452 
   1453 #define mpn_add_n __MPN(add_n)
   1454 __GMP_DECLSPEC mp_limb_t mpn_add_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1455 
   1456 #define mpn_addmul_1 __MPN(addmul_1)
   1457 __GMP_DECLSPEC mp_limb_t mpn_addmul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
   1458 
   1459 #define mpn_cmp __MPN(cmp)
   1460 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_cmp)
   1461 __GMP_DECLSPEC int mpn_cmp (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1462 #endif
   1463 
   1464 #define mpn_divexact_by3(dst,src,size) \
   1465   mpn_divexact_by3c (dst, src, size, __GMP_CAST (mp_limb_t, 0))
   1466 
   1467 #define mpn_divexact_by3c __MPN(divexact_by3c)
   1468 __GMP_DECLSPEC mp_limb_t mpn_divexact_by3c (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
   1469 
   1470 #define mpn_divmod_1(qp,np,nsize,dlimb) \
   1471   mpn_divrem_1 (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dlimb)
   1472 
   1473 #define mpn_divrem __MPN(divrem)
   1474 __GMP_DECLSPEC mp_limb_t mpn_divrem (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t);
   1475 
   1476 #define mpn_divrem_1 __MPN(divrem_1)
   1477 __GMP_DECLSPEC mp_limb_t mpn_divrem_1 (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t);
   1478 
   1479 #define mpn_divrem_2 __MPN(divrem_2)
   1480 __GMP_DECLSPEC mp_limb_t mpn_divrem_2 (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr);
   1481 
   1482 #define mpn_div_qr_2 __MPN(div_qr_2)
   1483 __GMP_DECLSPEC mp_limb_t mpn_div_qr_2 (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
   1484 
   1485 #define mpn_gcd __MPN(gcd)
   1486 __GMP_DECLSPEC mp_size_t mpn_gcd (mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
   1487 
   1488 #define mpn_gcd_1 __MPN(gcd_1)
   1489 __GMP_DECLSPEC mp_limb_t mpn_gcd_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
   1490 
   1491 #define mpn_gcdext_1 __MPN(gcdext_1)
   1492 __GMP_DECLSPEC mp_limb_t mpn_gcdext_1 (mp_limb_signed_t *, mp_limb_signed_t *, mp_limb_t, mp_limb_t);
   1493 
   1494 #define mpn_gcdext __MPN(gcdext)
   1495 __GMP_DECLSPEC mp_size_t mpn_gcdext (mp_ptr, mp_ptr, mp_size_t *, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
   1496 
   1497 #define mpn_get_str __MPN(get_str)
   1498 __GMP_DECLSPEC size_t mpn_get_str (unsigned char *, int, mp_ptr, mp_size_t);
   1499 
   1500 #define mpn_hamdist __MPN(hamdist)
   1501 __GMP_DECLSPEC mp_bitcnt_t mpn_hamdist (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1502 
   1503 #define mpn_lshift __MPN(lshift)
   1504 __GMP_DECLSPEC mp_limb_t mpn_lshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
   1505 
   1506 #define mpn_mod_1 __MPN(mod_1)
   1507 __GMP_DECLSPEC mp_limb_t mpn_mod_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
   1508 
   1509 #define mpn_mul __MPN(mul)
   1510 __GMP_DECLSPEC mp_limb_t mpn_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
   1511 
   1512 #define mpn_mul_1 __MPN(mul_1)
   1513 __GMP_DECLSPEC mp_limb_t mpn_mul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
   1514 
   1515 #define mpn_mul_n __MPN(mul_n)
   1516 __GMP_DECLSPEC void mpn_mul_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1517 
   1518 #define mpn_sqr __MPN(sqr)
   1519 __GMP_DECLSPEC void mpn_sqr (mp_ptr, mp_srcptr, mp_size_t);
   1520 
   1521 #define mpn_neg __MPN(neg)
   1522 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_neg)
   1523 __GMP_DECLSPEC mp_limb_t mpn_neg (mp_ptr, mp_srcptr, mp_size_t);
   1524 #endif
   1525 
   1526 #define mpn_com __MPN(com)
   1527 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_com)
   1528 __GMP_DECLSPEC void mpn_com (mp_ptr, mp_srcptr, mp_size_t);
   1529 #endif
   1530 
   1531 #define mpn_perfect_square_p __MPN(perfect_square_p)
   1532 __GMP_DECLSPEC int mpn_perfect_square_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
   1533 
   1534 #define mpn_perfect_power_p __MPN(perfect_power_p)
   1535 __GMP_DECLSPEC int mpn_perfect_power_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
   1536 
   1537 #define mpn_popcount __MPN(popcount)
   1538 __GMP_DECLSPEC mp_bitcnt_t mpn_popcount (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1539 
   1540 #define mpn_pow_1 __MPN(pow_1)
   1541 __GMP_DECLSPEC mp_size_t mpn_pow_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
   1542 
   1543 /* undocumented now, but retained here for upward compatibility */
   1544 #define mpn_preinv_mod_1 __MPN(preinv_mod_1)
   1545 __GMP_DECLSPEC mp_limb_t mpn_preinv_mod_1 (mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
   1546 
   1547 #define mpn_random __MPN(random)
   1548 __GMP_DECLSPEC void mpn_random (mp_ptr, mp_size_t);
   1549 
   1550 #define mpn_random2 __MPN(random2)
   1551 __GMP_DECLSPEC void mpn_random2 (mp_ptr, mp_size_t);
   1552 
   1553 #define mpn_rshift __MPN(rshift)
   1554 __GMP_DECLSPEC mp_limb_t mpn_rshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
   1555 
   1556 #define mpn_scan0 __MPN(scan0)
   1557 __GMP_DECLSPEC mp_bitcnt_t mpn_scan0 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
   1558 
   1559 #define mpn_scan1 __MPN(scan1)
   1560 __GMP_DECLSPEC mp_bitcnt_t mpn_scan1 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
   1561 
   1562 #define mpn_set_str __MPN(set_str)
   1563 __GMP_DECLSPEC mp_size_t mpn_set_str (mp_ptr, const unsigned char *, size_t, int);
   1564 
   1565 #define mpn_sqrtrem __MPN(sqrtrem)
   1566 __GMP_DECLSPEC mp_size_t mpn_sqrtrem (mp_ptr, mp_ptr, mp_srcptr, mp_size_t);
   1567 
   1568 #define mpn_sub __MPN(sub)
   1569 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub)
   1570 __GMP_DECLSPEC mp_limb_t mpn_sub (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
   1571 #endif
   1572 
   1573 #define mpn_sub_1 __MPN(sub_1)
   1574 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub_1)
   1575 __GMP_DECLSPEC mp_limb_t mpn_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
   1576 #endif
   1577 
   1578 #define mpn_sub_n __MPN(sub_n)
   1579 __GMP_DECLSPEC mp_limb_t mpn_sub_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1580 
   1581 #define mpn_submul_1 __MPN(submul_1)
   1582 __GMP_DECLSPEC mp_limb_t mpn_submul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
   1583 
   1584 #define mpn_tdiv_qr __MPN(tdiv_qr)
   1585 __GMP_DECLSPEC void mpn_tdiv_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
   1586 
   1587 #define mpn_and_n __MPN(and_n)
   1588 __GMP_DECLSPEC void mpn_and_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1589 #define mpn_andn_n __MPN(andn_n)
   1590 __GMP_DECLSPEC void mpn_andn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1591 #define mpn_nand_n __MPN(nand_n)
   1592 __GMP_DECLSPEC void mpn_nand_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1593 #define mpn_ior_n __MPN(ior_n)
   1594 __GMP_DECLSPEC void mpn_ior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1595 #define mpn_iorn_n __MPN(iorn_n)
   1596 __GMP_DECLSPEC void mpn_iorn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1597 #define mpn_nior_n __MPN(nior_n)
   1598 __GMP_DECLSPEC void mpn_nior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1599 #define mpn_xor_n __MPN(xor_n)
   1600 __GMP_DECLSPEC void mpn_xor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1601 #define mpn_xnor_n __MPN(xnor_n)
   1602 __GMP_DECLSPEC void mpn_xnor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1603 
   1604 #define mpn_copyi __MPN(copyi)
   1605 __GMP_DECLSPEC void mpn_copyi (mp_ptr, mp_srcptr, mp_size_t);
   1606 #define mpn_copyd __MPN(copyd)
   1607 __GMP_DECLSPEC void mpn_copyd (mp_ptr, mp_srcptr, mp_size_t);
   1608 #define mpn_zero __MPN(zero)
   1609 __GMP_DECLSPEC void mpn_zero (mp_ptr, mp_size_t);
   1610 
   1611 #define mpn_udiv_w_sdiv __MPN(udiv_w_sdiv)
   1612 __GMP_DECLSPEC mp_limb_t mpn_udiv_w_sdiv (mp_limb_t *, mp_limb_t, mp_limb_t, mp_limb_t);
   1613 
   1614 
   1615 /**************** mpz inlines ****************/
   1616 
   1617 /* The following are provided as inlines where possible, but always exist as
   1618    library functions too, for binary compatibility.
   1619 
   1620    Within gmp itself this inlining generally isn't relied on, since it
   1621    doesn't get done for all compilers, whereas if something is worth
   1622    inlining then it's worth arranging always.
   1623 
   1624    There are two styles of inlining here.  When the same bit of code is
   1625    wanted for the inline as for the library version, then __GMP_FORCE_foo
   1626    arranges for that code to be emitted and the __GMP_EXTERN_INLINE
   1627    directive suppressed, eg. mpz_fits_uint_p.  When a different bit of code
   1628    is wanted for the inline than for the library version, then
   1629    __GMP_FORCE_foo arranges the inline to be suppressed, eg. mpz_abs.  */
   1630 
   1631 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_abs)
   1632 __GMP_EXTERN_INLINE void
   1633 mpz_abs (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
   1634 {
   1635   if (__gmp_w != __gmp_u)
   1636     mpz_set (__gmp_w, __gmp_u);
   1637   __gmp_w->_mp_size = __GMP_ABS (__gmp_w->_mp_size);
   1638 }
   1639 #endif
   1640 
   1641 #if GMP_NAIL_BITS == 0
   1642 #define __GMPZ_FITS_UTYPE_P(z,maxval)					\
   1643   mp_size_t  __gmp_n = z->_mp_size;					\
   1644   mp_ptr  __gmp_p = z->_mp_d;						\
   1645   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval));
   1646 #else
   1647 #define __GMPZ_FITS_UTYPE_P(z,maxval)					\
   1648   mp_size_t  __gmp_n = z->_mp_size;					\
   1649   mp_ptr  __gmp_p = z->_mp_d;						\
   1650   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval)	\
   1651 	  || (__gmp_n == 2 && __gmp_p[1] <= ((mp_limb_t) maxval >> GMP_NUMB_BITS)));
   1652 #endif
   1653 
   1654 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_uint_p)
   1655 #if ! defined (__GMP_FORCE_mpz_fits_uint_p)
   1656 __GMP_EXTERN_INLINE
   1657 #endif
   1658 int
   1659 mpz_fits_uint_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
   1660 {
   1661   __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_UINT_MAX);
   1662 }
   1663 #endif
   1664 
   1665 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ulong_p)
   1666 #if ! defined (__GMP_FORCE_mpz_fits_ulong_p)
   1667 __GMP_EXTERN_INLINE
   1668 #endif
   1669 int
   1670 mpz_fits_ulong_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
   1671 {
   1672   __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_ULONG_MAX);
   1673 }
   1674 #endif
   1675 
   1676 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ushort_p)
   1677 #if ! defined (__GMP_FORCE_mpz_fits_ushort_p)
   1678 __GMP_EXTERN_INLINE
   1679 #endif
   1680 int
   1681 mpz_fits_ushort_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
   1682 {
   1683   __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_USHRT_MAX);
   1684 }
   1685 #endif
   1686 
   1687 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_get_ui)
   1688 #if ! defined (__GMP_FORCE_mpz_get_ui)
   1689 __GMP_EXTERN_INLINE
   1690 #endif
   1691 unsigned long
   1692 mpz_get_ui (mpz_srcptr __gmp_z) __GMP_NOTHROW
   1693 {
   1694   mp_ptr __gmp_p = __gmp_z->_mp_d;
   1695   mp_size_t __gmp_n = __gmp_z->_mp_size;
   1696   mp_limb_t __gmp_l = __gmp_p[0];
   1697   /* This is a "#if" rather than a plain "if" so as to avoid gcc warnings
   1698      about "<< GMP_NUMB_BITS" exceeding the type size, and to avoid Borland
   1699      C++ 6.0 warnings about condition always true for something like
   1700      "__GMP_ULONG_MAX < GMP_NUMB_MASK".  */
   1701 #if GMP_NAIL_BITS == 0 || defined (_LONG_LONG_LIMB)
   1702   /* limb==long and no nails, or limb==longlong, one limb is enough */
   1703   return (__gmp_n != 0 ? __gmp_l : 0);
   1704 #else
   1705   /* limb==long and nails, need two limbs when available */
   1706   __gmp_n = __GMP_ABS (__gmp_n);
   1707   if (__gmp_n <= 1)
   1708     return (__gmp_n != 0 ? __gmp_l : 0);
   1709   else
   1710     return __gmp_l + (__gmp_p[1] << GMP_NUMB_BITS);
   1711 #endif
   1712 }
   1713 #endif
   1714 
   1715 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_getlimbn)
   1716 #if ! defined (__GMP_FORCE_mpz_getlimbn)
   1717 __GMP_EXTERN_INLINE
   1718 #endif
   1719 mp_limb_t
   1720 mpz_getlimbn (mpz_srcptr __gmp_z, mp_size_t __gmp_n) __GMP_NOTHROW
   1721 {
   1722   mp_limb_t  __gmp_result = 0;
   1723   if (__GMP_LIKELY (__gmp_n >= 0 && __gmp_n < __GMP_ABS (__gmp_z->_mp_size)))
   1724     __gmp_result = __gmp_z->_mp_d[__gmp_n];
   1725   return __gmp_result;
   1726 }
   1727 #endif
   1728 
   1729 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_neg)
   1730 __GMP_EXTERN_INLINE void
   1731 mpz_neg (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
   1732 {
   1733   if (__gmp_w != __gmp_u)
   1734     mpz_set (__gmp_w, __gmp_u);
   1735   __gmp_w->_mp_size = - __gmp_w->_mp_size;
   1736 }
   1737 #endif
   1738 
   1739 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_perfect_square_p)
   1740 #if ! defined (__GMP_FORCE_mpz_perfect_square_p)
   1741 __GMP_EXTERN_INLINE
   1742 #endif
   1743 int
   1744 mpz_perfect_square_p (mpz_srcptr __gmp_a)
   1745 {
   1746   mp_size_t __gmp_asize;
   1747   int       __gmp_result;
   1748 
   1749   __gmp_asize = __gmp_a->_mp_size;
   1750   __gmp_result = (__gmp_asize >= 0);  /* zero is a square, negatives are not */
   1751   if (__GMP_LIKELY (__gmp_asize > 0))
   1752     __gmp_result = mpn_perfect_square_p (__gmp_a->_mp_d, __gmp_asize);
   1753   return __gmp_result;
   1754 }
   1755 #endif
   1756 
   1757 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_popcount)
   1758 #if ! defined (__GMP_FORCE_mpz_popcount)
   1759 __GMP_EXTERN_INLINE
   1760 #endif
   1761 mp_bitcnt_t
   1762 mpz_popcount (mpz_srcptr __gmp_u) __GMP_NOTHROW
   1763 {
   1764   mp_size_t      __gmp_usize;
   1765   mp_bitcnt_t    __gmp_result;
   1766 
   1767   __gmp_usize = __gmp_u->_mp_size;
   1768   __gmp_result = (__gmp_usize < 0 ? __GMP_ULONG_MAX : 0);
   1769   if (__GMP_LIKELY (__gmp_usize > 0))
   1770     __gmp_result =  mpn_popcount (__gmp_u->_mp_d, __gmp_usize);
   1771   return __gmp_result;
   1772 }
   1773 #endif
   1774 
   1775 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_set_q)
   1776 #if ! defined (__GMP_FORCE_mpz_set_q)
   1777 __GMP_EXTERN_INLINE
   1778 #endif
   1779 void
   1780 mpz_set_q (mpz_ptr __gmp_w, mpq_srcptr __gmp_u)
   1781 {
   1782   mpz_tdiv_q (__gmp_w, mpq_numref (__gmp_u), mpq_denref (__gmp_u));
   1783 }
   1784 #endif
   1785 
   1786 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_size)
   1787 #if ! defined (__GMP_FORCE_mpz_size)
   1788 __GMP_EXTERN_INLINE
   1789 #endif
   1790 size_t
   1791 mpz_size (mpz_srcptr __gmp_z) __GMP_NOTHROW
   1792 {
   1793   return __GMP_ABS (__gmp_z->_mp_size);
   1794 }
   1795 #endif
   1796 
   1797 
   1798 /**************** mpq inlines ****************/
   1799 
   1800 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_abs)
   1801 __GMP_EXTERN_INLINE void
   1802 mpq_abs (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
   1803 {
   1804   if (__gmp_w != __gmp_u)
   1805     mpq_set (__gmp_w, __gmp_u);
   1806   __gmp_w->_mp_num._mp_size = __GMP_ABS (__gmp_w->_mp_num._mp_size);
   1807 }
   1808 #endif
   1809 
   1810 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_neg)
   1811 __GMP_EXTERN_INLINE void
   1812 mpq_neg (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
   1813 {
   1814   if (__gmp_w != __gmp_u)
   1815     mpq_set (__gmp_w, __gmp_u);
   1816   __gmp_w->_mp_num._mp_size = - __gmp_w->_mp_num._mp_size;
   1817 }
   1818 #endif
   1819 
   1820 
   1821 /**************** mpn inlines ****************/
   1822 
   1823 /* The comments with __GMPN_ADD_1 below apply here too.
   1824 
   1825    The test for FUNCTION returning 0 should predict well.  If it's assumed
   1826    {yp,ysize} will usually have a random number of bits then the high limb
   1827    won't be full and a carry out will occur a good deal less than 50% of the
   1828    time.
   1829 
   1830    ysize==0 isn't a documented feature, but is used internally in a few
   1831    places.
   1832 
   1833    Producing cout last stops it using up a register during the main part of
   1834    the calculation, though gcc (as of 3.0) on an "if (mpn_add (...))"
   1835    doesn't seem able to move the true and false legs of the conditional up
   1836    to the two places cout is generated.  */
   1837 
   1838 #define __GMPN_AORS(cout, wp, xp, xsize, yp, ysize, FUNCTION, TEST)     \
   1839   do {                                                                  \
   1840     mp_size_t  __gmp_i;                                                 \
   1841     mp_limb_t  __gmp_x;                                                 \
   1842                                                                         \
   1843     /* ASSERT ((ysize) >= 0); */                                        \
   1844     /* ASSERT ((xsize) >= (ysize)); */                                  \
   1845     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, xp, xsize)); */      \
   1846     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, yp, ysize)); */      \
   1847                                                                         \
   1848     __gmp_i = (ysize);                                                  \
   1849     if (__gmp_i != 0)                                                   \
   1850       {                                                                 \
   1851         if (FUNCTION (wp, xp, yp, __gmp_i))                             \
   1852           {                                                             \
   1853             do                                                          \
   1854               {                                                         \
   1855                 if (__gmp_i >= (xsize))                                 \
   1856                   {                                                     \
   1857                     (cout) = 1;                                         \
   1858                     goto __gmp_done;                                    \
   1859                   }                                                     \
   1860                 __gmp_x = (xp)[__gmp_i];                                \
   1861               }                                                         \
   1862             while (TEST);                                               \
   1863           }                                                             \
   1864       }                                                                 \
   1865     if ((wp) != (xp))                                                   \
   1866       __GMPN_COPY_REST (wp, xp, xsize, __gmp_i);                        \
   1867     (cout) = 0;                                                         \
   1868   __gmp_done:                                                           \
   1869     ;                                                                   \
   1870   } while (0)
   1871 
   1872 #define __GMPN_ADD(cout, wp, xp, xsize, yp, ysize)              \
   1873   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_add_n,       \
   1874                (((wp)[__gmp_i++] = (__gmp_x + 1) & GMP_NUMB_MASK) == 0))
   1875 #define __GMPN_SUB(cout, wp, xp, xsize, yp, ysize)              \
   1876   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_sub_n,       \
   1877                (((wp)[__gmp_i++] = (__gmp_x - 1) & GMP_NUMB_MASK), __gmp_x == 0))
   1878 
   1879 
   1880 /* The use of __gmp_i indexing is designed to ensure a compile time src==dst
   1881    remains nice and clear to the compiler, so that __GMPN_COPY_REST can
   1882    disappear, and the load/add/store gets a chance to become a
   1883    read-modify-write on CISC CPUs.
   1884 
   1885    Alternatives:
   1886 
   1887    Using a pair of pointers instead of indexing would be possible, but gcc
   1888    isn't able to recognise compile-time src==dst in that case, even when the
   1889    pointers are incremented more or less together.  Other compilers would
   1890    very likely have similar difficulty.
   1891 
   1892    gcc could use "if (__builtin_constant_p(src==dst) && src==dst)" or
   1893    similar to detect a compile-time src==dst.  This works nicely on gcc
   1894    2.95.x, it's not good on gcc 3.0 where __builtin_constant_p(p==p) seems
   1895    to be always false, for a pointer p.  But the current code form seems
   1896    good enough for src==dst anyway.
   1897 
   1898    gcc on x86 as usual doesn't give particularly good flags handling for the
   1899    carry/borrow detection.  It's tempting to want some multi instruction asm
   1900    blocks to help it, and this was tried, but in truth there's only a few
   1901    instructions to save and any gain is all too easily lost by register
   1902    juggling setting up for the asm.  */
   1903 
   1904 #if GMP_NAIL_BITS == 0
   1905 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
   1906   do {								\
   1907     mp_size_t  __gmp_i;						\
   1908     mp_limb_t  __gmp_x, __gmp_r;                                \
   1909 								\
   1910     /* ASSERT ((n) >= 1); */					\
   1911     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
   1912 								\
   1913     __gmp_x = (src)[0];						\
   1914     __gmp_r = __gmp_x OP (v);                                   \
   1915     (dst)[0] = __gmp_r;						\
   1916     if (CB (__gmp_r, __gmp_x, (v)))                             \
   1917       {								\
   1918 	(cout) = 1;						\
   1919 	for (__gmp_i = 1; __gmp_i < (n);)                       \
   1920 	  {							\
   1921 	    __gmp_x = (src)[__gmp_i];                           \
   1922 	    __gmp_r = __gmp_x OP 1;                             \
   1923 	    (dst)[__gmp_i] = __gmp_r;                           \
   1924 	    ++__gmp_i;						\
   1925 	    if (!CB (__gmp_r, __gmp_x, 1))                      \
   1926 	      {							\
   1927 		if ((src) != (dst))				\
   1928 		  __GMPN_COPY_REST (dst, src, n, __gmp_i);      \
   1929 		(cout) = 0;					\
   1930 		break;						\
   1931 	      }							\
   1932 	  }							\
   1933       }								\
   1934     else							\
   1935       {								\
   1936 	if ((src) != (dst))					\
   1937 	  __GMPN_COPY_REST (dst, src, n, 1);			\
   1938 	(cout) = 0;						\
   1939       }								\
   1940   } while (0)
   1941 #endif
   1942 
   1943 #if GMP_NAIL_BITS >= 1
   1944 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
   1945   do {								\
   1946     mp_size_t  __gmp_i;						\
   1947     mp_limb_t  __gmp_x, __gmp_r;				\
   1948 								\
   1949     /* ASSERT ((n) >= 1); */					\
   1950     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
   1951 								\
   1952     __gmp_x = (src)[0];						\
   1953     __gmp_r = __gmp_x OP (v);					\
   1954     (dst)[0] = __gmp_r & GMP_NUMB_MASK;				\
   1955     if (__gmp_r >> GMP_NUMB_BITS != 0)				\
   1956       {								\
   1957 	(cout) = 1;						\
   1958 	for (__gmp_i = 1; __gmp_i < (n);)			\
   1959 	  {							\
   1960 	    __gmp_x = (src)[__gmp_i];				\
   1961 	    __gmp_r = __gmp_x OP 1;				\
   1962 	    (dst)[__gmp_i] = __gmp_r & GMP_NUMB_MASK;		\
   1963 	    ++__gmp_i;						\
   1964 	    if (__gmp_r >> GMP_NUMB_BITS == 0)			\
   1965 	      {							\
   1966 		if ((src) != (dst))				\
   1967 		  __GMPN_COPY_REST (dst, src, n, __gmp_i);	\
   1968 		(cout) = 0;					\
   1969 		break;						\
   1970 	      }							\
   1971 	  }							\
   1972       }								\
   1973     else							\
   1974       {								\
   1975 	if ((src) != (dst))					\
   1976 	  __GMPN_COPY_REST (dst, src, n, 1);			\
   1977 	(cout) = 0;						\
   1978       }								\
   1979   } while (0)
   1980 #endif
   1981 
   1982 #define __GMPN_ADDCB(r,x,y) ((r) < (y))
   1983 #define __GMPN_SUBCB(r,x,y) ((x) < (y))
   1984 
   1985 #define __GMPN_ADD_1(cout, dst, src, n, v)	     \
   1986   __GMPN_AORS_1(cout, dst, src, n, v, +, __GMPN_ADDCB)
   1987 #define __GMPN_SUB_1(cout, dst, src, n, v)	     \
   1988   __GMPN_AORS_1(cout, dst, src, n, v, -, __GMPN_SUBCB)
   1989 
   1990 
   1991 /* Compare {xp,size} and {yp,size}, setting "result" to positive, zero or
   1992    negative.  size==0 is allowed.  On random data usually only one limb will
   1993    need to be examined to get a result, so it's worth having it inline.  */
   1994 #define __GMPN_CMP(result, xp, yp, size)                                \
   1995   do {                                                                  \
   1996     mp_size_t  __gmp_i;                                                 \
   1997     mp_limb_t  __gmp_x, __gmp_y;                                        \
   1998                                                                         \
   1999     /* ASSERT ((size) >= 0); */                                         \
   2000                                                                         \
   2001     (result) = 0;                                                       \
   2002     __gmp_i = (size);                                                   \
   2003     while (--__gmp_i >= 0)                                              \
   2004       {                                                                 \
   2005         __gmp_x = (xp)[__gmp_i];                                        \
   2006         __gmp_y = (yp)[__gmp_i];                                        \
   2007         if (__gmp_x != __gmp_y)                                         \
   2008           {                                                             \
   2009             /* Cannot use __gmp_x - __gmp_y, may overflow an "int" */   \
   2010             (result) = (__gmp_x > __gmp_y ? 1 : -1);                    \
   2011             break;                                                      \
   2012           }                                                             \
   2013       }                                                                 \
   2014   } while (0)
   2015 
   2016 
   2017 #if defined (__GMPN_COPY) && ! defined (__GMPN_COPY_REST)
   2018 #define __GMPN_COPY_REST(dst, src, size, start)                 \
   2019   do {                                                          \
   2020     /* ASSERT ((start) >= 0); */                                \
   2021     /* ASSERT ((start) <= (size)); */                           \
   2022     __GMPN_COPY ((dst)+(start), (src)+(start), (size)-(start)); \
   2023   } while (0)
   2024 #endif
   2025 
   2026 /* Copy {src,size} to {dst,size}, starting at "start".  This is designed to
   2027    keep the indexing dst[j] and src[j] nice and simple for __GMPN_ADD_1,
   2028    __GMPN_ADD, etc.  */
   2029 #if ! defined (__GMPN_COPY_REST)
   2030 #define __GMPN_COPY_REST(dst, src, size, start)                 \
   2031   do {                                                          \
   2032     mp_size_t __gmp_j;                                          \
   2033     /* ASSERT ((size) >= 0); */                                 \
   2034     /* ASSERT ((start) >= 0); */                                \
   2035     /* ASSERT ((start) <= (size)); */                           \
   2036     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */     \
   2037     __GMP_CRAY_Pragma ("_CRI ivdep");                           \
   2038     for (__gmp_j = (start); __gmp_j < (size); __gmp_j++)        \
   2039       (dst)[__gmp_j] = (src)[__gmp_j];                          \
   2040   } while (0)
   2041 #endif
   2042 
   2043 /* Enhancement: Use some of the smarter code from gmp-impl.h.  Maybe use
   2044    mpn_copyi if there's a native version, and if we don't mind demanding
   2045    binary compatibility for it (on targets which use it).  */
   2046 
   2047 #if ! defined (__GMPN_COPY)
   2048 #define __GMPN_COPY(dst, src, size)   __GMPN_COPY_REST (dst, src, size, 0)
   2049 #endif
   2050 
   2051 
   2052 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add)
   2053 #if ! defined (__GMP_FORCE_mpn_add)
   2054 __GMP_EXTERN_INLINE
   2055 #endif
   2056 mp_limb_t
   2057 mpn_add (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
   2058 {
   2059   mp_limb_t  __gmp_c;
   2060   __GMPN_ADD (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
   2061   return __gmp_c;
   2062 }
   2063 #endif
   2064 
   2065 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add_1)
   2066 #if ! defined (__GMP_FORCE_mpn_add_1)
   2067 __GMP_EXTERN_INLINE
   2068 #endif
   2069 mp_limb_t
   2070 mpn_add_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
   2071 {
   2072   mp_limb_t  __gmp_c;
   2073   __GMPN_ADD_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
   2074   return __gmp_c;
   2075 }
   2076 #endif
   2077 
   2078 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_cmp)
   2079 #if ! defined (__GMP_FORCE_mpn_cmp)
   2080 __GMP_EXTERN_INLINE
   2081 #endif
   2082 int
   2083 mpn_cmp (mp_srcptr __gmp_xp, mp_srcptr __gmp_yp, mp_size_t __gmp_size) __GMP_NOTHROW
   2084 {
   2085   int __gmp_result;
   2086   __GMPN_CMP (__gmp_result, __gmp_xp, __gmp_yp, __gmp_size);
   2087   return __gmp_result;
   2088 }
   2089 #endif
   2090 
   2091 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub)
   2092 #if ! defined (__GMP_FORCE_mpn_sub)
   2093 __GMP_EXTERN_INLINE
   2094 #endif
   2095 mp_limb_t
   2096 mpn_sub (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
   2097 {
   2098   mp_limb_t  __gmp_c;
   2099   __GMPN_SUB (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
   2100   return __gmp_c;
   2101 }
   2102 #endif
   2103 
   2104 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub_1)
   2105 #if ! defined (__GMP_FORCE_mpn_sub_1)
   2106 __GMP_EXTERN_INLINE
   2107 #endif
   2108 mp_limb_t
   2109 mpn_sub_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
   2110 {
   2111   mp_limb_t  __gmp_c;
   2112   __GMPN_SUB_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
   2113   return __gmp_c;
   2114 }
   2115 #endif
   2116 
   2117 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_neg)
   2118 #if ! defined (__GMP_FORCE_mpn_neg)
   2119 __GMP_EXTERN_INLINE
   2120 #endif
   2121 mp_limb_t
   2122 mpn_neg (mp_ptr __gmp_rp, mp_srcptr __gmp_up, mp_size_t __gmp_n)
   2123 {
   2124   mp_limb_t __gmp_ul, __gmp_cy;
   2125   __gmp_cy = 0;
   2126   do {
   2127       __gmp_ul = *__gmp_up++;
   2128       *__gmp_rp++ = -__gmp_ul - __gmp_cy;
   2129       __gmp_cy |= __gmp_ul != 0;
   2130   } while (--__gmp_n != 0);
   2131   return __gmp_cy;
   2132 }
   2133 #endif
   2134 
   2135 #if defined (__cplusplus)
   2136 }
   2137 #endif
   2138 
   2139 
   2140 /* Allow faster testing for negative, zero, and positive.  */
   2141 #define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0)
   2142 #define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0)
   2143 #define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0)
   2144 
   2145 /* When using GCC, optimize certain common comparisons.  */
   2146 #if defined (__GNUC__) && __GNUC__ >= 2
   2147 #define mpz_cmp_ui(Z,UI) \
   2148   (__builtin_constant_p (UI) && (UI) == 0				\
   2149    ? mpz_sgn (Z) : _mpz_cmp_ui (Z,UI))
   2150 #define mpz_cmp_si(Z,SI) \
   2151   (__builtin_constant_p (SI) && (SI) == 0 ? mpz_sgn (Z)			\
   2152    : __builtin_constant_p (SI) && (SI) > 0				\
   2153     ? _mpz_cmp_ui (Z, __GMP_CAST (unsigned long int, SI))		\
   2154    : _mpz_cmp_si (Z,SI))
   2155 #define mpq_cmp_ui(Q,NUI,DUI) \
   2156   (__builtin_constant_p (NUI) && (NUI) == 0				\
   2157    ? mpq_sgn (Q) : _mpq_cmp_ui (Q,NUI,DUI))
   2158 #define mpq_cmp_si(q,n,d)                       \
   2159   (__builtin_constant_p ((n) >= 0) && (n) >= 0  \
   2160    ? mpq_cmp_ui (q, __GMP_CAST (unsigned long, n), d) \
   2161    : _mpq_cmp_si (q, n, d))
   2162 #else
   2163 #define mpz_cmp_ui(Z,UI) _mpz_cmp_ui (Z,UI)
   2164 #define mpz_cmp_si(Z,UI) _mpz_cmp_si (Z,UI)
   2165 #define mpq_cmp_ui(Q,NUI,DUI) _mpq_cmp_ui (Q,NUI,DUI)
   2166 #define mpq_cmp_si(q,n,d)  _mpq_cmp_si(q,n,d)
   2167 #endif
   2168 
   2169 
   2170 /* Using "&" rather than "&&" means these can come out branch-free.  Every
   2171    mpz_t has at least one limb allocated, so fetching the low limb is always
   2172    allowed.  */
   2173 #define mpz_odd_p(z)   (((z)->_mp_size != 0) & __GMP_CAST (int, (z)->_mp_d[0]))
   2174 #define mpz_even_p(z)  (! mpz_odd_p (z))
   2175 
   2176 
   2177 /**************** C++ routines ****************/
   2178 
   2179 #ifdef __cplusplus
   2180 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpz_srcptr);
   2181 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpq_srcptr);
   2182 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpf_srcptr);
   2183 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpz_ptr);
   2184 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpq_ptr);
   2185 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpf_ptr);
   2186 #endif
   2187 
   2188 
   2189 /* Source-level compatibility with GMP 2 and earlier. */
   2190 #define mpn_divmod(qp,np,nsize,dp,dsize) \
   2191   mpn_divrem (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dp, dsize)
   2192 
   2193 /* Source-level compatibility with GMP 1.  */
   2194 #define mpz_mdiv	mpz_fdiv_q
   2195 #define mpz_mdivmod	mpz_fdiv_qr
   2196 #define mpz_mmod	mpz_fdiv_r
   2197 #define mpz_mdiv_ui	mpz_fdiv_q_ui
   2198 #define mpz_mdivmod_ui(q,r,n,d) \
   2199   (((r) == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d))
   2200 #define mpz_mmod_ui(r,n,d) \
   2201   (((r) == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d))
   2202 
   2203 /* Useful synonyms, but not quite compatible with GMP 1.  */
   2204 #define mpz_div		mpz_fdiv_q
   2205 #define mpz_divmod	mpz_fdiv_qr
   2206 #define mpz_div_ui	mpz_fdiv_q_ui
   2207 #define mpz_divmod_ui	mpz_fdiv_qr_ui
   2208 #define mpz_div_2exp	mpz_fdiv_q_2exp
   2209 #define mpz_mod_2exp	mpz_fdiv_r_2exp
   2210 
   2211 enum
   2212 {
   2213   GMP_ERROR_NONE = 0,
   2214   GMP_ERROR_UNSUPPORTED_ARGUMENT = 1,
   2215   GMP_ERROR_DIVISION_BY_ZERO = 2,
   2216   GMP_ERROR_SQRT_OF_NEGATIVE = 4,
   2217   GMP_ERROR_INVALID_ARGUMENT = 8
   2218 };
   2219 
   2220 /* Define CC and CFLAGS which were used to build this version of GMP */
   2221 #define __GMP_CC "gcc -std=gnu99"
   2222 #define __GMP_CFLAGS "-marm -O2 -pedantic -fomit-frame-pointer"
   2223 
   2224 /* Major version number is the value of __GNU_MP__ too, above and in mp.h. */
   2225 #define __GNU_MP_VERSION            5
   2226 #define __GNU_MP_VERSION_MINOR      1
   2227 #define __GNU_MP_VERSION_PATCHLEVEL 3
   2228 #define __GNU_MP_RELEASE (__GNU_MP_VERSION * 10000 + __GNU_MP_VERSION_MINOR * 100 + __GNU_MP_VERSION_PATCHLEVEL)
   2229 
   2230 #define __GMP_H__
   2231 #endif /* __GMP_H__ */
   2232