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gmp.h revision 1.3
      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) || \
    364     (__GNUC__ > 4)
    365 #define __GMP_EXTERN_INLINE extern __inline__ __attribute__ ((__gnu_inline__))
    366 #endif
    367 #define __GMP_INLINE_PROTOTYPES  1
    368 #endif
    369 
    370 /* DEC C (eg. version 5.9) supports "static __inline foo()", even in -std1
    371    strict ANSI mode.  Inlining is done even when not optimizing (ie. -O0
    372    mode, which is the default), but an unnecessary local copy of foo is
    373    emitted unless -O is used.  "extern __inline" is accepted, but the
    374    "extern" appears to be ignored, ie. it becomes a plain global function
    375    but which is inlined within its file.  Don't know if all old versions of
    376    DEC C supported __inline, but as a start let's do the right thing for
    377    current versions.  */
    378 #ifdef __DECC
    379 #define __GMP_EXTERN_INLINE  static __inline
    380 #endif
    381 
    382 /* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict
    383    ANSI mode (__STDC__ is 1 in that mode).  Inlining only actually takes
    384    place under -O.  Without -O "foo" seems to be emitted whether it's used
    385    or not, which is wasteful.  "extern inline foo()" isn't useful, the
    386    "extern" is apparently ignored, so foo is inlined if possible but also
    387    emitted as a global, which causes multiple definition errors when
    388    building a shared libgmp.  */
    389 #ifdef __SCO_VERSION__
    390 #if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
    391   && ! defined (__GMP_EXTERN_INLINE)
    392 #define __GMP_EXTERN_INLINE  static inline
    393 #endif
    394 #endif
    395 
    396 /* Microsoft's C compiler accepts __inline */
    397 #ifdef _MSC_VER
    398 #define __GMP_EXTERN_INLINE  __inline
    399 #endif
    400 
    401 /* Recent enough Sun C compilers want "inline" */
    402 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x560 \
    403   && ! defined (__GMP_EXTERN_INLINE)
    404 #define __GMP_EXTERN_INLINE  inline
    405 #endif
    406 
    407 /* Somewhat older Sun C compilers want "static inline" */
    408 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x540 \
    409   && ! defined (__GMP_EXTERN_INLINE)
    410 #define __GMP_EXTERN_INLINE  static inline
    411 #endif
    412 
    413 
    414 /* C++ always has "inline" and since it's a normal feature the linker should
    415    discard duplicate non-inlined copies, or if it doesn't then that's a
    416    problem for everyone, not just GMP.  */
    417 #if defined (__cplusplus) && ! defined (__GMP_EXTERN_INLINE)
    418 #define __GMP_EXTERN_INLINE  inline
    419 #endif
    420 
    421 /* Don't do any inlining within a configure run, since if the compiler ends
    422    up emitting copies of the code into the object file it can end up
    423    demanding the various support routines (like mpn_popcount) for linking,
    424    making the "alloca" test and perhaps others fail.  And on hppa ia64 a
    425    pre-release gcc 3.2 was seen not respecting the "extern" in "extern
    426    __inline__", triggering this problem too.  */
    427 #if defined (__GMP_WITHIN_CONFIGURE) && ! __GMP_WITHIN_CONFIGURE_INLINE
    428 #undef __GMP_EXTERN_INLINE
    429 #endif
    430 
    431 /* By default, don't give a prototype when there's going to be an inline
    432    version.  Note in particular that Cray C++ objects to the combination of
    433    prototype and inline.  */
    434 #ifdef __GMP_EXTERN_INLINE
    435 #ifndef __GMP_INLINE_PROTOTYPES
    436 #define __GMP_INLINE_PROTOTYPES  0
    437 #endif
    438 #else
    439 #define __GMP_INLINE_PROTOTYPES  1
    440 #endif
    441 
    442 
    443 #define __GMP_ABS(x)   ((x) >= 0 ? (x) : -(x))
    444 #define __GMP_MAX(h,i) ((h) > (i) ? (h) : (i))
    445 
    446 /* __GMP_USHRT_MAX is not "~ (unsigned short) 0" because short is promoted
    447    to int by "~".  */
    448 #define __GMP_UINT_MAX   (~ (unsigned) 0)
    449 #define __GMP_ULONG_MAX  (~ (unsigned long) 0)
    450 #define __GMP_USHRT_MAX  ((unsigned short) ~0)
    451 
    452 
    453 /* __builtin_expect is in gcc 3.0, and not in 2.95. */
    454 #if __GMP_GNUC_PREREQ (3,0)
    455 #define __GMP_LIKELY(cond)    __builtin_expect ((cond) != 0, 1)
    456 #define __GMP_UNLIKELY(cond)  __builtin_expect ((cond) != 0, 0)
    457 #else
    458 #define __GMP_LIKELY(cond)    (cond)
    459 #define __GMP_UNLIKELY(cond)  (cond)
    460 #endif
    461 
    462 #ifdef _CRAY
    463 #define __GMP_CRAY_Pragma(str)  _Pragma (str)
    464 #else
    465 #define __GMP_CRAY_Pragma(str)
    466 #endif
    467 
    468 
    469 /* Allow direct user access to numerator and denominator of a mpq_t object.  */
    470 #define mpq_numref(Q) (&((Q)->_mp_num))
    471 #define mpq_denref(Q) (&((Q)->_mp_den))
    472 
    473 
    474 #if defined (__cplusplus)
    475 extern "C" {
    476 using std::FILE;
    477 #endif
    478 
    479 #define mp_set_memory_functions __gmp_set_memory_functions
    480 __GMP_DECLSPEC void mp_set_memory_functions (void *(*) (size_t),
    481 				      void *(*) (void *, size_t, size_t),
    482 				      void (*) (void *, size_t)) __GMP_NOTHROW;
    483 
    484 #define mp_get_memory_functions __gmp_get_memory_functions
    485 __GMP_DECLSPEC void mp_get_memory_functions (void *(**) (size_t),
    486                                       void *(**) (void *, size_t, size_t),
    487                                       void (**) (void *, size_t)) __GMP_NOTHROW;
    488 
    489 #define mp_bits_per_limb __gmp_bits_per_limb
    490 __GMP_DECLSPEC extern const int mp_bits_per_limb;
    491 
    492 #define gmp_errno __gmp_errno
    493 __GMP_DECLSPEC extern int gmp_errno;
    494 
    495 #define gmp_version __gmp_version
    496 __GMP_DECLSPEC extern const char * const gmp_version;
    497 
    498 
    499 /**************** Random number routines.  ****************/
    500 
    501 /* obsolete */
    502 #define gmp_randinit __gmp_randinit
    503 __GMP_DECLSPEC void gmp_randinit (gmp_randstate_t, gmp_randalg_t, ...);
    504 
    505 #define gmp_randinit_default __gmp_randinit_default
    506 __GMP_DECLSPEC void gmp_randinit_default (gmp_randstate_t);
    507 
    508 #define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
    509 __GMP_DECLSPEC void gmp_randinit_lc_2exp (gmp_randstate_t, mpz_srcptr, unsigned long int, mp_bitcnt_t);
    510 
    511 #define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size
    512 __GMP_DECLSPEC int gmp_randinit_lc_2exp_size (gmp_randstate_t, mp_bitcnt_t);
    513 
    514 #define gmp_randinit_mt __gmp_randinit_mt
    515 __GMP_DECLSPEC void gmp_randinit_mt (gmp_randstate_t);
    516 
    517 #define gmp_randinit_set __gmp_randinit_set
    518 __GMP_DECLSPEC void gmp_randinit_set (gmp_randstate_t, const __gmp_randstate_struct *);
    519 
    520 #define gmp_randseed __gmp_randseed
    521 __GMP_DECLSPEC void gmp_randseed (gmp_randstate_t, mpz_srcptr);
    522 
    523 #define gmp_randseed_ui __gmp_randseed_ui
    524 __GMP_DECLSPEC void gmp_randseed_ui (gmp_randstate_t, unsigned long int);
    525 
    526 #define gmp_randclear __gmp_randclear
    527 __GMP_DECLSPEC void gmp_randclear (gmp_randstate_t);
    528 
    529 #define gmp_urandomb_ui __gmp_urandomb_ui
    530 __GMP_DECLSPEC unsigned long gmp_urandomb_ui (gmp_randstate_t, unsigned long);
    531 
    532 #define gmp_urandomm_ui __gmp_urandomm_ui
    533 __GMP_DECLSPEC unsigned long gmp_urandomm_ui (gmp_randstate_t, unsigned long);
    534 
    535 
    536 /**************** Formatted output routines.  ****************/
    537 
    538 #define gmp_asprintf __gmp_asprintf
    539 __GMP_DECLSPEC int gmp_asprintf (char **, const char *, ...);
    540 
    541 #define gmp_fprintf __gmp_fprintf
    542 #ifdef _GMP_H_HAVE_FILE
    543 __GMP_DECLSPEC int gmp_fprintf (FILE *, const char *, ...);
    544 #endif
    545 
    546 #define gmp_obstack_printf __gmp_obstack_printf
    547 #if defined (_GMP_H_HAVE_OBSTACK)
    548 __GMP_DECLSPEC int gmp_obstack_printf (struct obstack *, const char *, ...);
    549 #endif
    550 
    551 #define gmp_obstack_vprintf __gmp_obstack_vprintf
    552 #if defined (_GMP_H_HAVE_OBSTACK) && defined (_GMP_H_HAVE_VA_LIST)
    553 __GMP_DECLSPEC int gmp_obstack_vprintf (struct obstack *, const char *, va_list);
    554 #endif
    555 
    556 #define gmp_printf __gmp_printf
    557 __GMP_DECLSPEC int gmp_printf (const char *, ...);
    558 
    559 #define gmp_snprintf __gmp_snprintf
    560 __GMP_DECLSPEC int gmp_snprintf (char *, size_t, const char *, ...);
    561 
    562 #define gmp_sprintf __gmp_sprintf
    563 __GMP_DECLSPEC int gmp_sprintf (char *, const char *, ...);
    564 
    565 #define gmp_vasprintf __gmp_vasprintf
    566 #if defined (_GMP_H_HAVE_VA_LIST)
    567 __GMP_DECLSPEC int gmp_vasprintf (char **, const char *, va_list);
    568 #endif
    569 
    570 #define gmp_vfprintf __gmp_vfprintf
    571 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
    572 __GMP_DECLSPEC int gmp_vfprintf (FILE *, const char *, va_list);
    573 #endif
    574 
    575 #define gmp_vprintf __gmp_vprintf
    576 #if defined (_GMP_H_HAVE_VA_LIST)
    577 __GMP_DECLSPEC int gmp_vprintf (const char *, va_list);
    578 #endif
    579 
    580 #define gmp_vsnprintf __gmp_vsnprintf
    581 #if defined (_GMP_H_HAVE_VA_LIST)
    582 __GMP_DECLSPEC int gmp_vsnprintf (char *, size_t, const char *, va_list);
    583 #endif
    584 
    585 #define gmp_vsprintf __gmp_vsprintf
    586 #if defined (_GMP_H_HAVE_VA_LIST)
    587 __GMP_DECLSPEC int gmp_vsprintf (char *, const char *, va_list);
    588 #endif
    589 
    590 
    591 /**************** Formatted input routines.  ****************/
    592 
    593 #define gmp_fscanf __gmp_fscanf
    594 #ifdef _GMP_H_HAVE_FILE
    595 __GMP_DECLSPEC int gmp_fscanf (FILE *, const char *, ...);
    596 #endif
    597 
    598 #define gmp_scanf __gmp_scanf
    599 __GMP_DECLSPEC int gmp_scanf (const char *, ...);
    600 
    601 #define gmp_sscanf __gmp_sscanf
    602 __GMP_DECLSPEC int gmp_sscanf (const char *, const char *, ...);
    603 
    604 #define gmp_vfscanf __gmp_vfscanf
    605 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
    606 __GMP_DECLSPEC int gmp_vfscanf (FILE *, const char *, va_list);
    607 #endif
    608 
    609 #define gmp_vscanf __gmp_vscanf
    610 #if defined (_GMP_H_HAVE_VA_LIST)
    611 __GMP_DECLSPEC int gmp_vscanf (const char *, va_list);
    612 #endif
    613 
    614 #define gmp_vsscanf __gmp_vsscanf
    615 #if defined (_GMP_H_HAVE_VA_LIST)
    616 __GMP_DECLSPEC int gmp_vsscanf (const char *, const char *, va_list);
    617 #endif
    618 
    619 
    620 /**************** Integer (i.e. Z) routines.  ****************/
    621 
    622 #define _mpz_realloc __gmpz_realloc
    623 #define mpz_realloc __gmpz_realloc
    624 __GMP_DECLSPEC void *_mpz_realloc (mpz_ptr, mp_size_t);
    625 
    626 #define mpz_abs __gmpz_abs
    627 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs)
    628 __GMP_DECLSPEC void mpz_abs (mpz_ptr, mpz_srcptr);
    629 #endif
    630 
    631 #define mpz_add __gmpz_add
    632 __GMP_DECLSPEC void mpz_add (mpz_ptr, mpz_srcptr, mpz_srcptr);
    633 
    634 #define mpz_add_ui __gmpz_add_ui
    635 __GMP_DECLSPEC void mpz_add_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    636 
    637 #define mpz_addmul __gmpz_addmul
    638 __GMP_DECLSPEC void mpz_addmul (mpz_ptr, mpz_srcptr, mpz_srcptr);
    639 
    640 #define mpz_addmul_ui __gmpz_addmul_ui
    641 __GMP_DECLSPEC void mpz_addmul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    642 
    643 #define mpz_and __gmpz_and
    644 __GMP_DECLSPEC void mpz_and (mpz_ptr, mpz_srcptr, mpz_srcptr);
    645 
    646 #define mpz_array_init __gmpz_array_init
    647 __GMP_DECLSPEC void mpz_array_init (mpz_ptr, mp_size_t, mp_size_t);
    648 
    649 #define mpz_bin_ui __gmpz_bin_ui
    650 __GMP_DECLSPEC void mpz_bin_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    651 
    652 #define mpz_bin_uiui __gmpz_bin_uiui
    653 __GMP_DECLSPEC void mpz_bin_uiui (mpz_ptr, unsigned long int, unsigned long int);
    654 
    655 #define mpz_cdiv_q __gmpz_cdiv_q
    656 __GMP_DECLSPEC void mpz_cdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
    657 
    658 #define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
    659 __GMP_DECLSPEC void mpz_cdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
    660 
    661 #define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
    662 __GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    663 
    664 #define mpz_cdiv_qr __gmpz_cdiv_qr
    665 __GMP_DECLSPEC void mpz_cdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
    666 
    667 #define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
    668 __GMP_DECLSPEC unsigned long int mpz_cdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
    669 
    670 #define mpz_cdiv_r __gmpz_cdiv_r
    671 __GMP_DECLSPEC void mpz_cdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
    672 
    673 #define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
    674 __GMP_DECLSPEC void mpz_cdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
    675 
    676 #define mpz_cdiv_r_ui __gmpz_cdiv_r_ui
    677 __GMP_DECLSPEC unsigned long int mpz_cdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    678 
    679 #define mpz_cdiv_ui __gmpz_cdiv_ui
    680 __GMP_DECLSPEC unsigned long int mpz_cdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
    681 
    682 #define mpz_clear __gmpz_clear
    683 __GMP_DECLSPEC void mpz_clear (mpz_ptr);
    684 
    685 #define mpz_clears __gmpz_clears
    686 __GMP_DECLSPEC void mpz_clears (mpz_ptr, ...);
    687 
    688 #define mpz_clrbit __gmpz_clrbit
    689 __GMP_DECLSPEC void mpz_clrbit (mpz_ptr, mp_bitcnt_t);
    690 
    691 #define mpz_cmp __gmpz_cmp
    692 __GMP_DECLSPEC int mpz_cmp (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    693 
    694 #define mpz_cmp_d __gmpz_cmp_d
    695 __GMP_DECLSPEC int mpz_cmp_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
    696 
    697 #define _mpz_cmp_si __gmpz_cmp_si
    698 __GMP_DECLSPEC int _mpz_cmp_si (mpz_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    699 
    700 #define _mpz_cmp_ui __gmpz_cmp_ui
    701 __GMP_DECLSPEC int _mpz_cmp_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    702 
    703 #define mpz_cmpabs __gmpz_cmpabs
    704 __GMP_DECLSPEC int mpz_cmpabs (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    705 
    706 #define mpz_cmpabs_d __gmpz_cmpabs_d
    707 __GMP_DECLSPEC int mpz_cmpabs_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
    708 
    709 #define mpz_cmpabs_ui __gmpz_cmpabs_ui
    710 __GMP_DECLSPEC int mpz_cmpabs_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    711 
    712 #define mpz_com __gmpz_com
    713 __GMP_DECLSPEC void mpz_com (mpz_ptr, mpz_srcptr);
    714 
    715 #define mpz_combit __gmpz_combit
    716 __GMP_DECLSPEC void mpz_combit (mpz_ptr, mp_bitcnt_t);
    717 
    718 #define mpz_congruent_p __gmpz_congruent_p
    719 __GMP_DECLSPEC int mpz_congruent_p (mpz_srcptr, mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    720 
    721 #define mpz_congruent_2exp_p __gmpz_congruent_2exp_p
    722 __GMP_DECLSPEC int mpz_congruent_2exp_p (mpz_srcptr, mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    723 
    724 #define mpz_congruent_ui_p __gmpz_congruent_ui_p
    725 __GMP_DECLSPEC int mpz_congruent_ui_p (mpz_srcptr, unsigned long, unsigned long) __GMP_ATTRIBUTE_PURE;
    726 
    727 #define mpz_divexact __gmpz_divexact
    728 __GMP_DECLSPEC void mpz_divexact (mpz_ptr, mpz_srcptr, mpz_srcptr);
    729 
    730 #define mpz_divexact_ui __gmpz_divexact_ui
    731 __GMP_DECLSPEC void mpz_divexact_ui (mpz_ptr, mpz_srcptr, unsigned long);
    732 
    733 #define mpz_divisible_p __gmpz_divisible_p
    734 __GMP_DECLSPEC int mpz_divisible_p (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    735 
    736 #define mpz_divisible_ui_p __gmpz_divisible_ui_p
    737 __GMP_DECLSPEC int mpz_divisible_ui_p (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
    738 
    739 #define mpz_divisible_2exp_p __gmpz_divisible_2exp_p
    740 __GMP_DECLSPEC int mpz_divisible_2exp_p (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    741 
    742 #define mpz_dump __gmpz_dump
    743 __GMP_DECLSPEC void mpz_dump (mpz_srcptr);
    744 
    745 #define mpz_export __gmpz_export
    746 __GMP_DECLSPEC void *mpz_export (void *, size_t *, int, size_t, int, size_t, mpz_srcptr);
    747 
    748 #define mpz_fac_ui __gmpz_fac_ui
    749 __GMP_DECLSPEC void mpz_fac_ui (mpz_ptr, unsigned long int);
    750 
    751 #define mpz_2fac_ui __gmpz_2fac_ui
    752 __GMP_DECLSPEC void mpz_2fac_ui (mpz_ptr, unsigned long int);
    753 
    754 #define mpz_mfac_uiui __gmpz_mfac_uiui
    755 __GMP_DECLSPEC void mpz_mfac_uiui (mpz_ptr, unsigned long int, unsigned long int);
    756 
    757 #define mpz_primorial_ui __gmpz_primorial_ui
    758 __GMP_DECLSPEC void mpz_primorial_ui (mpz_ptr, unsigned long int);
    759 
    760 #define mpz_fdiv_q __gmpz_fdiv_q
    761 __GMP_DECLSPEC void mpz_fdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
    762 
    763 #define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
    764 __GMP_DECLSPEC void mpz_fdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
    765 
    766 #define mpz_fdiv_q_ui __gmpz_fdiv_q_ui
    767 __GMP_DECLSPEC unsigned long int mpz_fdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    768 
    769 #define mpz_fdiv_qr __gmpz_fdiv_qr
    770 __GMP_DECLSPEC void mpz_fdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
    771 
    772 #define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui
    773 __GMP_DECLSPEC unsigned long int mpz_fdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
    774 
    775 #define mpz_fdiv_r __gmpz_fdiv_r
    776 __GMP_DECLSPEC void mpz_fdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
    777 
    778 #define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
    779 __GMP_DECLSPEC void mpz_fdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
    780 
    781 #define mpz_fdiv_r_ui __gmpz_fdiv_r_ui
    782 __GMP_DECLSPEC unsigned long int mpz_fdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    783 
    784 #define mpz_fdiv_ui __gmpz_fdiv_ui
    785 __GMP_DECLSPEC unsigned long int mpz_fdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
    786 
    787 #define mpz_fib_ui __gmpz_fib_ui
    788 __GMP_DECLSPEC void mpz_fib_ui (mpz_ptr, unsigned long int);
    789 
    790 #define mpz_fib2_ui __gmpz_fib2_ui
    791 __GMP_DECLSPEC void mpz_fib2_ui (mpz_ptr, mpz_ptr, unsigned long int);
    792 
    793 #define mpz_fits_sint_p __gmpz_fits_sint_p
    794 __GMP_DECLSPEC int mpz_fits_sint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    795 
    796 #define mpz_fits_slong_p __gmpz_fits_slong_p
    797 __GMP_DECLSPEC int mpz_fits_slong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    798 
    799 #define mpz_fits_sshort_p __gmpz_fits_sshort_p
    800 __GMP_DECLSPEC int mpz_fits_sshort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    801 
    802 #define mpz_fits_uint_p __gmpz_fits_uint_p
    803 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_uint_p)
    804 __GMP_DECLSPEC int mpz_fits_uint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    805 #endif
    806 
    807 #define mpz_fits_ulong_p __gmpz_fits_ulong_p
    808 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ulong_p)
    809 __GMP_DECLSPEC int mpz_fits_ulong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    810 #endif
    811 
    812 #define mpz_fits_ushort_p __gmpz_fits_ushort_p
    813 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ushort_p)
    814 __GMP_DECLSPEC int mpz_fits_ushort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    815 #endif
    816 
    817 #define mpz_gcd __gmpz_gcd
    818 __GMP_DECLSPEC void mpz_gcd (mpz_ptr, mpz_srcptr, mpz_srcptr);
    819 
    820 #define mpz_gcd_ui __gmpz_gcd_ui
    821 __GMP_DECLSPEC unsigned long int mpz_gcd_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    822 
    823 #define mpz_gcdext __gmpz_gcdext
    824 __GMP_DECLSPEC void mpz_gcdext (mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
    825 
    826 #define mpz_get_d __gmpz_get_d
    827 __GMP_DECLSPEC double mpz_get_d (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    828 
    829 #define mpz_get_d_2exp __gmpz_get_d_2exp
    830 __GMP_DECLSPEC double mpz_get_d_2exp (signed long int *, mpz_srcptr);
    831 
    832 #define mpz_get_si __gmpz_get_si
    833 __GMP_DECLSPEC /* signed */ long int mpz_get_si (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    834 
    835 #define mpz_get_str __gmpz_get_str
    836 __GMP_DECLSPEC char *mpz_get_str (char *, int, mpz_srcptr);
    837 
    838 #define mpz_get_ui __gmpz_get_ui
    839 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_get_ui)
    840 __GMP_DECLSPEC unsigned long int mpz_get_ui (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    841 #endif
    842 
    843 #define mpz_getlimbn __gmpz_getlimbn
    844 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_getlimbn)
    845 __GMP_DECLSPEC mp_limb_t mpz_getlimbn (mpz_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    846 #endif
    847 
    848 #define mpz_hamdist __gmpz_hamdist
    849 __GMP_DECLSPEC mp_bitcnt_t mpz_hamdist (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    850 
    851 #define mpz_import __gmpz_import
    852 __GMP_DECLSPEC void mpz_import (mpz_ptr, size_t, int, size_t, int, size_t, const void *);
    853 
    854 #define mpz_init __gmpz_init
    855 __GMP_DECLSPEC void mpz_init (mpz_ptr);
    856 
    857 #define mpz_init2 __gmpz_init2
    858 __GMP_DECLSPEC void mpz_init2 (mpz_ptr, mp_bitcnt_t);
    859 
    860 #define mpz_inits __gmpz_inits
    861 __GMP_DECLSPEC void mpz_inits (mpz_ptr, ...);
    862 
    863 #define mpz_init_set __gmpz_init_set
    864 __GMP_DECLSPEC void mpz_init_set (mpz_ptr, mpz_srcptr);
    865 
    866 #define mpz_init_set_d __gmpz_init_set_d
    867 __GMP_DECLSPEC void mpz_init_set_d (mpz_ptr, double);
    868 
    869 #define mpz_init_set_si __gmpz_init_set_si
    870 __GMP_DECLSPEC void mpz_init_set_si (mpz_ptr, signed long int);
    871 
    872 #define mpz_init_set_str __gmpz_init_set_str
    873 __GMP_DECLSPEC int mpz_init_set_str (mpz_ptr, const char *, int);
    874 
    875 #define mpz_init_set_ui __gmpz_init_set_ui
    876 __GMP_DECLSPEC void mpz_init_set_ui (mpz_ptr, unsigned long int);
    877 
    878 #define mpz_inp_raw __gmpz_inp_raw
    879 #ifdef _GMP_H_HAVE_FILE
    880 __GMP_DECLSPEC size_t mpz_inp_raw (mpz_ptr, FILE *);
    881 #endif
    882 
    883 #define mpz_inp_str __gmpz_inp_str
    884 #ifdef _GMP_H_HAVE_FILE
    885 __GMP_DECLSPEC size_t mpz_inp_str (mpz_ptr, FILE *, int);
    886 #endif
    887 
    888 #define mpz_invert __gmpz_invert
    889 __GMP_DECLSPEC int mpz_invert (mpz_ptr, mpz_srcptr, mpz_srcptr);
    890 
    891 #define mpz_ior __gmpz_ior
    892 __GMP_DECLSPEC void mpz_ior (mpz_ptr, mpz_srcptr, mpz_srcptr);
    893 
    894 #define mpz_jacobi __gmpz_jacobi
    895 __GMP_DECLSPEC int mpz_jacobi (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    896 
    897 #define mpz_kronecker mpz_jacobi  /* alias */
    898 
    899 #define mpz_kronecker_si __gmpz_kronecker_si
    900 __GMP_DECLSPEC int mpz_kronecker_si (mpz_srcptr, long) __GMP_ATTRIBUTE_PURE;
    901 
    902 #define mpz_kronecker_ui __gmpz_kronecker_ui
    903 __GMP_DECLSPEC int mpz_kronecker_ui (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
    904 
    905 #define mpz_si_kronecker __gmpz_si_kronecker
    906 __GMP_DECLSPEC int mpz_si_kronecker (long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    907 
    908 #define mpz_ui_kronecker __gmpz_ui_kronecker
    909 __GMP_DECLSPEC int mpz_ui_kronecker (unsigned long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    910 
    911 #define mpz_lcm __gmpz_lcm
    912 __GMP_DECLSPEC void mpz_lcm (mpz_ptr, mpz_srcptr, mpz_srcptr);
    913 
    914 #define mpz_lcm_ui __gmpz_lcm_ui
    915 __GMP_DECLSPEC void mpz_lcm_ui (mpz_ptr, mpz_srcptr, unsigned long);
    916 
    917 #define mpz_legendre mpz_jacobi  /* alias */
    918 
    919 #define mpz_lucnum_ui __gmpz_lucnum_ui
    920 __GMP_DECLSPEC void mpz_lucnum_ui (mpz_ptr, unsigned long int);
    921 
    922 #define mpz_lucnum2_ui __gmpz_lucnum2_ui
    923 __GMP_DECLSPEC void mpz_lucnum2_ui (mpz_ptr, mpz_ptr, unsigned long int);
    924 
    925 #define mpz_millerrabin __gmpz_millerrabin
    926 __GMP_DECLSPEC int mpz_millerrabin (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
    927 
    928 #define mpz_mod __gmpz_mod
    929 __GMP_DECLSPEC void mpz_mod (mpz_ptr, mpz_srcptr, mpz_srcptr);
    930 
    931 #define mpz_mod_ui mpz_fdiv_r_ui /* same as fdiv_r because divisor unsigned */
    932 
    933 #define mpz_mul __gmpz_mul
    934 __GMP_DECLSPEC void mpz_mul (mpz_ptr, mpz_srcptr, mpz_srcptr);
    935 
    936 #define mpz_mul_2exp __gmpz_mul_2exp
    937 __GMP_DECLSPEC void mpz_mul_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
    938 
    939 #define mpz_mul_si __gmpz_mul_si
    940 __GMP_DECLSPEC void mpz_mul_si (mpz_ptr, mpz_srcptr, long int);
    941 
    942 #define mpz_mul_ui __gmpz_mul_ui
    943 __GMP_DECLSPEC void mpz_mul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    944 
    945 #define mpz_neg __gmpz_neg
    946 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_neg)
    947 __GMP_DECLSPEC void mpz_neg (mpz_ptr, mpz_srcptr);
    948 #endif
    949 
    950 #define mpz_nextprime __gmpz_nextprime
    951 __GMP_DECLSPEC void mpz_nextprime (mpz_ptr, mpz_srcptr);
    952 
    953 #define mpz_out_raw __gmpz_out_raw
    954 #ifdef _GMP_H_HAVE_FILE
    955 __GMP_DECLSPEC size_t mpz_out_raw (FILE *, mpz_srcptr);
    956 #endif
    957 
    958 #define mpz_out_str __gmpz_out_str
    959 #ifdef _GMP_H_HAVE_FILE
    960 __GMP_DECLSPEC size_t mpz_out_str (FILE *, int, mpz_srcptr);
    961 #endif
    962 
    963 #define mpz_perfect_power_p __gmpz_perfect_power_p
    964 __GMP_DECLSPEC int mpz_perfect_power_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    965 
    966 #define mpz_perfect_square_p __gmpz_perfect_square_p
    967 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_perfect_square_p)
    968 __GMP_DECLSPEC int mpz_perfect_square_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    969 #endif
    970 
    971 #define mpz_popcount __gmpz_popcount
    972 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_popcount)
    973 __GMP_DECLSPEC mp_bitcnt_t mpz_popcount (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    974 #endif
    975 
    976 #define mpz_pow_ui __gmpz_pow_ui
    977 __GMP_DECLSPEC void mpz_pow_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    978 
    979 #define mpz_powm __gmpz_powm
    980 __GMP_DECLSPEC void mpz_powm (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
    981 
    982 #define mpz_powm_sec __gmpz_powm_sec
    983 __GMP_DECLSPEC void mpz_powm_sec (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
    984 
    985 #define mpz_powm_ui __gmpz_powm_ui
    986 __GMP_DECLSPEC void mpz_powm_ui (mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr);
    987 
    988 #define mpz_probab_prime_p __gmpz_probab_prime_p
    989 __GMP_DECLSPEC int mpz_probab_prime_p (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
    990 
    991 #define mpz_random __gmpz_random
    992 __GMP_DECLSPEC void mpz_random (mpz_ptr, mp_size_t);
    993 
    994 #define mpz_random2 __gmpz_random2
    995 __GMP_DECLSPEC void mpz_random2 (mpz_ptr, mp_size_t);
    996 
    997 #define mpz_realloc2 __gmpz_realloc2
    998 __GMP_DECLSPEC void mpz_realloc2 (mpz_ptr, mp_bitcnt_t);
    999 
   1000 #define mpz_remove __gmpz_remove
   1001 __GMP_DECLSPEC mp_bitcnt_t mpz_remove (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1002 
   1003 #define mpz_root __gmpz_root
   1004 __GMP_DECLSPEC int mpz_root (mpz_ptr, mpz_srcptr, unsigned long int);
   1005 
   1006 #define mpz_rootrem __gmpz_rootrem
   1007 __GMP_DECLSPEC void mpz_rootrem (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
   1008 
   1009 #define mpz_rrandomb __gmpz_rrandomb
   1010 __GMP_DECLSPEC void mpz_rrandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
   1011 
   1012 #define mpz_scan0 __gmpz_scan0
   1013 __GMP_DECLSPEC mp_bitcnt_t mpz_scan0 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1014 
   1015 #define mpz_scan1 __gmpz_scan1
   1016 __GMP_DECLSPEC mp_bitcnt_t mpz_scan1 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1017 
   1018 #define mpz_set __gmpz_set
   1019 __GMP_DECLSPEC void mpz_set (mpz_ptr, mpz_srcptr);
   1020 
   1021 #define mpz_set_d __gmpz_set_d
   1022 __GMP_DECLSPEC void mpz_set_d (mpz_ptr, double);
   1023 
   1024 #define mpz_set_f __gmpz_set_f
   1025 __GMP_DECLSPEC void mpz_set_f (mpz_ptr, mpf_srcptr);
   1026 
   1027 #define mpz_set_q __gmpz_set_q
   1028 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_set_q)
   1029 __GMP_DECLSPEC void mpz_set_q (mpz_ptr, mpq_srcptr);
   1030 #endif
   1031 
   1032 #define mpz_set_si __gmpz_set_si
   1033 __GMP_DECLSPEC void mpz_set_si (mpz_ptr, signed long int);
   1034 
   1035 #define mpz_set_str __gmpz_set_str
   1036 __GMP_DECLSPEC int mpz_set_str (mpz_ptr, const char *, int);
   1037 
   1038 #define mpz_set_ui __gmpz_set_ui
   1039 __GMP_DECLSPEC void mpz_set_ui (mpz_ptr, unsigned long int);
   1040 
   1041 #define mpz_setbit __gmpz_setbit
   1042 __GMP_DECLSPEC void mpz_setbit (mpz_ptr, mp_bitcnt_t);
   1043 
   1044 #define mpz_size __gmpz_size
   1045 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_size)
   1046 __GMP_DECLSPEC size_t mpz_size (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1047 #endif
   1048 
   1049 #define mpz_sizeinbase __gmpz_sizeinbase
   1050 __GMP_DECLSPEC size_t mpz_sizeinbase (mpz_srcptr, int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1051 
   1052 #define mpz_sqrt __gmpz_sqrt
   1053 __GMP_DECLSPEC void mpz_sqrt (mpz_ptr, mpz_srcptr);
   1054 
   1055 #define mpz_sqrtrem __gmpz_sqrtrem
   1056 __GMP_DECLSPEC void mpz_sqrtrem (mpz_ptr, mpz_ptr, mpz_srcptr);
   1057 
   1058 #define mpz_sub __gmpz_sub
   1059 __GMP_DECLSPEC void mpz_sub (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1060 
   1061 #define mpz_sub_ui __gmpz_sub_ui
   1062 __GMP_DECLSPEC void mpz_sub_ui (mpz_ptr, mpz_srcptr, unsigned long int);
   1063 
   1064 #define mpz_ui_sub __gmpz_ui_sub
   1065 __GMP_DECLSPEC void mpz_ui_sub (mpz_ptr, unsigned long int, mpz_srcptr);
   1066 
   1067 #define mpz_submul __gmpz_submul
   1068 __GMP_DECLSPEC void mpz_submul (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1069 
   1070 #define mpz_submul_ui __gmpz_submul_ui
   1071 __GMP_DECLSPEC void mpz_submul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
   1072 
   1073 #define mpz_swap __gmpz_swap
   1074 __GMP_DECLSPEC void mpz_swap (mpz_ptr, mpz_ptr) __GMP_NOTHROW;
   1075 
   1076 #define mpz_tdiv_ui __gmpz_tdiv_ui
   1077 __GMP_DECLSPEC unsigned long int mpz_tdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
   1078 
   1079 #define mpz_tdiv_q __gmpz_tdiv_q
   1080 __GMP_DECLSPEC void mpz_tdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1081 
   1082 #define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp
   1083 __GMP_DECLSPEC void mpz_tdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
   1084 
   1085 #define mpz_tdiv_q_ui __gmpz_tdiv_q_ui
   1086 __GMP_DECLSPEC unsigned long int mpz_tdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
   1087 
   1088 #define mpz_tdiv_qr __gmpz_tdiv_qr
   1089 __GMP_DECLSPEC void mpz_tdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
   1090 
   1091 #define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui
   1092 __GMP_DECLSPEC unsigned long int mpz_tdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
   1093 
   1094 #define mpz_tdiv_r __gmpz_tdiv_r
   1095 __GMP_DECLSPEC void mpz_tdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1096 
   1097 #define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp
   1098 __GMP_DECLSPEC void mpz_tdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
   1099 
   1100 #define mpz_tdiv_r_ui __gmpz_tdiv_r_ui
   1101 __GMP_DECLSPEC unsigned long int mpz_tdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
   1102 
   1103 #define mpz_tstbit __gmpz_tstbit
   1104 __GMP_DECLSPEC int mpz_tstbit (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1105 
   1106 #define mpz_ui_pow_ui __gmpz_ui_pow_ui
   1107 __GMP_DECLSPEC void mpz_ui_pow_ui (mpz_ptr, unsigned long int, unsigned long int);
   1108 
   1109 #define mpz_urandomb __gmpz_urandomb
   1110 __GMP_DECLSPEC void mpz_urandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
   1111 
   1112 #define mpz_urandomm __gmpz_urandomm
   1113 __GMP_DECLSPEC void mpz_urandomm (mpz_ptr, gmp_randstate_t, mpz_srcptr);
   1114 
   1115 #define mpz_xor __gmpz_xor
   1116 #define mpz_eor __gmpz_xor
   1117 __GMP_DECLSPEC void mpz_xor (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1118 
   1119 
   1120 /**************** Rational (i.e. Q) routines.  ****************/
   1121 
   1122 #define mpq_abs __gmpq_abs
   1123 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_abs)
   1124 __GMP_DECLSPEC void mpq_abs (mpq_ptr, mpq_srcptr);
   1125 #endif
   1126 
   1127 #define mpq_add __gmpq_add
   1128 __GMP_DECLSPEC void mpq_add (mpq_ptr, mpq_srcptr, mpq_srcptr);
   1129 
   1130 #define mpq_canonicalize __gmpq_canonicalize
   1131 __GMP_DECLSPEC void mpq_canonicalize (mpq_ptr);
   1132 
   1133 #define mpq_clear __gmpq_clear
   1134 __GMP_DECLSPEC void mpq_clear (mpq_ptr);
   1135 
   1136 #define mpq_clears __gmpq_clears
   1137 __GMP_DECLSPEC void mpq_clears (mpq_ptr, ...);
   1138 
   1139 #define mpq_cmp __gmpq_cmp
   1140 __GMP_DECLSPEC int mpq_cmp (mpq_srcptr, mpq_srcptr) __GMP_ATTRIBUTE_PURE;
   1141 
   1142 #define _mpq_cmp_si __gmpq_cmp_si
   1143 __GMP_DECLSPEC int _mpq_cmp_si (mpq_srcptr, long, unsigned long) __GMP_ATTRIBUTE_PURE;
   1144 
   1145 #define _mpq_cmp_ui __gmpq_cmp_ui
   1146 __GMP_DECLSPEC int _mpq_cmp_ui (mpq_srcptr, unsigned long int, unsigned long int) __GMP_ATTRIBUTE_PURE;
   1147 
   1148 #define mpq_div __gmpq_div
   1149 __GMP_DECLSPEC void mpq_div (mpq_ptr, mpq_srcptr, mpq_srcptr);
   1150 
   1151 #define mpq_div_2exp __gmpq_div_2exp
   1152 __GMP_DECLSPEC void mpq_div_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
   1153 
   1154 #define mpq_equal __gmpq_equal
   1155 __GMP_DECLSPEC int mpq_equal (mpq_srcptr, mpq_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1156 
   1157 #define mpq_get_num __gmpq_get_num
   1158 __GMP_DECLSPEC void mpq_get_num (mpz_ptr, mpq_srcptr);
   1159 
   1160 #define mpq_get_den __gmpq_get_den
   1161 __GMP_DECLSPEC void mpq_get_den (mpz_ptr, mpq_srcptr);
   1162 
   1163 #define mpq_get_d __gmpq_get_d
   1164 __GMP_DECLSPEC double mpq_get_d (mpq_srcptr) __GMP_ATTRIBUTE_PURE;
   1165 
   1166 #define mpq_get_str __gmpq_get_str
   1167 __GMP_DECLSPEC char *mpq_get_str (char *, int, mpq_srcptr);
   1168 
   1169 #define mpq_init __gmpq_init
   1170 __GMP_DECLSPEC void mpq_init (mpq_ptr);
   1171 
   1172 #define mpq_inits __gmpq_inits
   1173 __GMP_DECLSPEC void mpq_inits (mpq_ptr, ...);
   1174 
   1175 #define mpq_inp_str __gmpq_inp_str
   1176 #ifdef _GMP_H_HAVE_FILE
   1177 __GMP_DECLSPEC size_t mpq_inp_str (mpq_ptr, FILE *, int);
   1178 #endif
   1179 
   1180 #define mpq_inv __gmpq_inv
   1181 __GMP_DECLSPEC void mpq_inv (mpq_ptr, mpq_srcptr);
   1182 
   1183 #define mpq_mul __gmpq_mul
   1184 __GMP_DECLSPEC void mpq_mul (mpq_ptr, mpq_srcptr, mpq_srcptr);
   1185 
   1186 #define mpq_mul_2exp __gmpq_mul_2exp
   1187 __GMP_DECLSPEC void mpq_mul_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
   1188 
   1189 #define mpq_neg __gmpq_neg
   1190 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_neg)
   1191 __GMP_DECLSPEC void mpq_neg (mpq_ptr, mpq_srcptr);
   1192 #endif
   1193 
   1194 #define mpq_out_str __gmpq_out_str
   1195 #ifdef _GMP_H_HAVE_FILE
   1196 __GMP_DECLSPEC size_t mpq_out_str (FILE *, int, mpq_srcptr);
   1197 #endif
   1198 
   1199 #define mpq_set __gmpq_set
   1200 __GMP_DECLSPEC void mpq_set (mpq_ptr, mpq_srcptr);
   1201 
   1202 #define mpq_set_d __gmpq_set_d
   1203 __GMP_DECLSPEC void mpq_set_d (mpq_ptr, double);
   1204 
   1205 #define mpq_set_den __gmpq_set_den
   1206 __GMP_DECLSPEC void mpq_set_den (mpq_ptr, mpz_srcptr);
   1207 
   1208 #define mpq_set_f __gmpq_set_f
   1209 __GMP_DECLSPEC void mpq_set_f (mpq_ptr, mpf_srcptr);
   1210 
   1211 #define mpq_set_num __gmpq_set_num
   1212 __GMP_DECLSPEC void mpq_set_num (mpq_ptr, mpz_srcptr);
   1213 
   1214 #define mpq_set_si __gmpq_set_si
   1215 __GMP_DECLSPEC void mpq_set_si (mpq_ptr, signed long int, unsigned long int);
   1216 
   1217 #define mpq_set_str __gmpq_set_str
   1218 __GMP_DECLSPEC int mpq_set_str (mpq_ptr, const char *, int);
   1219 
   1220 #define mpq_set_ui __gmpq_set_ui
   1221 __GMP_DECLSPEC void mpq_set_ui (mpq_ptr, unsigned long int, unsigned long int);
   1222 
   1223 #define mpq_set_z __gmpq_set_z
   1224 __GMP_DECLSPEC void mpq_set_z (mpq_ptr, mpz_srcptr);
   1225 
   1226 #define mpq_sub __gmpq_sub
   1227 __GMP_DECLSPEC void mpq_sub (mpq_ptr, mpq_srcptr, mpq_srcptr);
   1228 
   1229 #define mpq_swap __gmpq_swap
   1230 __GMP_DECLSPEC void mpq_swap (mpq_ptr, mpq_ptr) __GMP_NOTHROW;
   1231 
   1232 
   1233 /**************** Float (i.e. F) routines.  ****************/
   1234 
   1235 #define mpf_abs __gmpf_abs
   1236 __GMP_DECLSPEC void mpf_abs (mpf_ptr, mpf_srcptr);
   1237 
   1238 #define mpf_add __gmpf_add
   1239 __GMP_DECLSPEC void mpf_add (mpf_ptr, mpf_srcptr, mpf_srcptr);
   1240 
   1241 #define mpf_add_ui __gmpf_add_ui
   1242 __GMP_DECLSPEC void mpf_add_ui (mpf_ptr, mpf_srcptr, unsigned long int);
   1243 #define mpf_ceil __gmpf_ceil
   1244 __GMP_DECLSPEC void mpf_ceil (mpf_ptr, mpf_srcptr);
   1245 
   1246 #define mpf_clear __gmpf_clear
   1247 __GMP_DECLSPEC void mpf_clear (mpf_ptr);
   1248 
   1249 #define mpf_clears __gmpf_clears
   1250 __GMP_DECLSPEC void mpf_clears (mpf_ptr, ...);
   1251 
   1252 #define mpf_cmp __gmpf_cmp
   1253 __GMP_DECLSPEC int mpf_cmp (mpf_srcptr, mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1254 
   1255 #define mpf_cmp_d __gmpf_cmp_d
   1256 __GMP_DECLSPEC int mpf_cmp_d (mpf_srcptr, double) __GMP_ATTRIBUTE_PURE;
   1257 
   1258 #define mpf_cmp_si __gmpf_cmp_si
   1259 __GMP_DECLSPEC int mpf_cmp_si (mpf_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1260 
   1261 #define mpf_cmp_ui __gmpf_cmp_ui
   1262 __GMP_DECLSPEC int mpf_cmp_ui (mpf_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1263 
   1264 #define mpf_div __gmpf_div
   1265 __GMP_DECLSPEC void mpf_div (mpf_ptr, mpf_srcptr, mpf_srcptr);
   1266 
   1267 #define mpf_div_2exp __gmpf_div_2exp
   1268 __GMP_DECLSPEC void mpf_div_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
   1269 
   1270 #define mpf_div_ui __gmpf_div_ui
   1271 __GMP_DECLSPEC void mpf_div_ui (mpf_ptr, mpf_srcptr, unsigned long int);
   1272 
   1273 #define mpf_dump __gmpf_dump
   1274 __GMP_DECLSPEC void mpf_dump (mpf_srcptr);
   1275 
   1276 #define mpf_eq __gmpf_eq
   1277 __GMP_DECLSPEC int mpf_eq (mpf_srcptr, mpf_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
   1278 
   1279 #define mpf_fits_sint_p __gmpf_fits_sint_p
   1280 __GMP_DECLSPEC int mpf_fits_sint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1281 
   1282 #define mpf_fits_slong_p __gmpf_fits_slong_p
   1283 __GMP_DECLSPEC int mpf_fits_slong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1284 
   1285 #define mpf_fits_sshort_p __gmpf_fits_sshort_p
   1286 __GMP_DECLSPEC int mpf_fits_sshort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1287 
   1288 #define mpf_fits_uint_p __gmpf_fits_uint_p
   1289 __GMP_DECLSPEC int mpf_fits_uint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1290 
   1291 #define mpf_fits_ulong_p __gmpf_fits_ulong_p
   1292 __GMP_DECLSPEC int mpf_fits_ulong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1293 
   1294 #define mpf_fits_ushort_p __gmpf_fits_ushort_p
   1295 __GMP_DECLSPEC int mpf_fits_ushort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1296 
   1297 #define mpf_floor __gmpf_floor
   1298 __GMP_DECLSPEC void mpf_floor (mpf_ptr, mpf_srcptr);
   1299 
   1300 #define mpf_get_d __gmpf_get_d
   1301 __GMP_DECLSPEC double mpf_get_d (mpf_srcptr) __GMP_ATTRIBUTE_PURE;
   1302 
   1303 #define mpf_get_d_2exp __gmpf_get_d_2exp
   1304 __GMP_DECLSPEC double mpf_get_d_2exp (signed long int *, mpf_srcptr);
   1305 
   1306 #define mpf_get_default_prec __gmpf_get_default_prec
   1307 __GMP_DECLSPEC mp_bitcnt_t mpf_get_default_prec (void) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1308 
   1309 #define mpf_get_prec __gmpf_get_prec
   1310 __GMP_DECLSPEC mp_bitcnt_t mpf_get_prec (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1311 
   1312 #define mpf_get_si __gmpf_get_si
   1313 __GMP_DECLSPEC long mpf_get_si (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1314 
   1315 #define mpf_get_str __gmpf_get_str
   1316 __GMP_DECLSPEC char *mpf_get_str (char *, mp_exp_t *, int, size_t, mpf_srcptr);
   1317 
   1318 #define mpf_get_ui __gmpf_get_ui
   1319 __GMP_DECLSPEC unsigned long mpf_get_ui (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1320 
   1321 #define mpf_init __gmpf_init
   1322 __GMP_DECLSPEC void mpf_init (mpf_ptr);
   1323 
   1324 #define mpf_init2 __gmpf_init2
   1325 __GMP_DECLSPEC void mpf_init2 (mpf_ptr, mp_bitcnt_t);
   1326 
   1327 #define mpf_inits __gmpf_inits
   1328 __GMP_DECLSPEC void mpf_inits (mpf_ptr, ...);
   1329 
   1330 #define mpf_init_set __gmpf_init_set
   1331 __GMP_DECLSPEC void mpf_init_set (mpf_ptr, mpf_srcptr);
   1332 
   1333 #define mpf_init_set_d __gmpf_init_set_d
   1334 __GMP_DECLSPEC void mpf_init_set_d (mpf_ptr, double);
   1335 
   1336 #define mpf_init_set_si __gmpf_init_set_si
   1337 __GMP_DECLSPEC void mpf_init_set_si (mpf_ptr, signed long int);
   1338 
   1339 #define mpf_init_set_str __gmpf_init_set_str
   1340 __GMP_DECLSPEC int mpf_init_set_str (mpf_ptr, const char *, int);
   1341 
   1342 #define mpf_init_set_ui __gmpf_init_set_ui
   1343 __GMP_DECLSPEC void mpf_init_set_ui (mpf_ptr, unsigned long int);
   1344 
   1345 #define mpf_inp_str __gmpf_inp_str
   1346 #ifdef _GMP_H_HAVE_FILE
   1347 __GMP_DECLSPEC size_t mpf_inp_str (mpf_ptr, FILE *, int);
   1348 #endif
   1349 
   1350 #define mpf_integer_p __gmpf_integer_p
   1351 __GMP_DECLSPEC int mpf_integer_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1352 
   1353 #define mpf_mul __gmpf_mul
   1354 __GMP_DECLSPEC void mpf_mul (mpf_ptr, mpf_srcptr, mpf_srcptr);
   1355 
   1356 #define mpf_mul_2exp __gmpf_mul_2exp
   1357 __GMP_DECLSPEC void mpf_mul_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
   1358 
   1359 #define mpf_mul_ui __gmpf_mul_ui
   1360 __GMP_DECLSPEC void mpf_mul_ui (mpf_ptr, mpf_srcptr, unsigned long int);
   1361 
   1362 #define mpf_neg __gmpf_neg
   1363 __GMP_DECLSPEC void mpf_neg (mpf_ptr, mpf_srcptr);
   1364 
   1365 #define mpf_out_str __gmpf_out_str
   1366 #ifdef _GMP_H_HAVE_FILE
   1367 __GMP_DECLSPEC size_t mpf_out_str (FILE *, int, size_t, mpf_srcptr);
   1368 #endif
   1369 
   1370 #define mpf_pow_ui __gmpf_pow_ui
   1371 __GMP_DECLSPEC void mpf_pow_ui (mpf_ptr, mpf_srcptr, unsigned long int);
   1372 
   1373 #define mpf_random2 __gmpf_random2
   1374 __GMP_DECLSPEC void mpf_random2 (mpf_ptr, mp_size_t, mp_exp_t);
   1375 
   1376 #define mpf_reldiff __gmpf_reldiff
   1377 __GMP_DECLSPEC void mpf_reldiff (mpf_ptr, mpf_srcptr, mpf_srcptr);
   1378 
   1379 #define mpf_set __gmpf_set
   1380 __GMP_DECLSPEC void mpf_set (mpf_ptr, mpf_srcptr);
   1381 
   1382 #define mpf_set_d __gmpf_set_d
   1383 __GMP_DECLSPEC void mpf_set_d (mpf_ptr, double);
   1384 
   1385 #define mpf_set_default_prec __gmpf_set_default_prec
   1386 __GMP_DECLSPEC void mpf_set_default_prec (mp_bitcnt_t) __GMP_NOTHROW;
   1387 
   1388 #define mpf_set_prec __gmpf_set_prec
   1389 __GMP_DECLSPEC void mpf_set_prec (mpf_ptr, mp_bitcnt_t);
   1390 
   1391 #define mpf_set_prec_raw __gmpf_set_prec_raw
   1392 __GMP_DECLSPEC void mpf_set_prec_raw (mpf_ptr, mp_bitcnt_t) __GMP_NOTHROW;
   1393 
   1394 #define mpf_set_q __gmpf_set_q
   1395 __GMP_DECLSPEC void mpf_set_q (mpf_ptr, mpq_srcptr);
   1396 
   1397 #define mpf_set_si __gmpf_set_si
   1398 __GMP_DECLSPEC void mpf_set_si (mpf_ptr, signed long int);
   1399 
   1400 #define mpf_set_str __gmpf_set_str
   1401 __GMP_DECLSPEC int mpf_set_str (mpf_ptr, const char *, int);
   1402 
   1403 #define mpf_set_ui __gmpf_set_ui
   1404 __GMP_DECLSPEC void mpf_set_ui (mpf_ptr, unsigned long int);
   1405 
   1406 #define mpf_set_z __gmpf_set_z
   1407 __GMP_DECLSPEC void mpf_set_z (mpf_ptr, mpz_srcptr);
   1408 
   1409 #define mpf_size __gmpf_size
   1410 __GMP_DECLSPEC size_t mpf_size (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1411 
   1412 #define mpf_sqrt __gmpf_sqrt
   1413 __GMP_DECLSPEC void mpf_sqrt (mpf_ptr, mpf_srcptr);
   1414 
   1415 #define mpf_sqrt_ui __gmpf_sqrt_ui
   1416 __GMP_DECLSPEC void mpf_sqrt_ui (mpf_ptr, unsigned long int);
   1417 
   1418 #define mpf_sub __gmpf_sub
   1419 __GMP_DECLSPEC void mpf_sub (mpf_ptr, mpf_srcptr, mpf_srcptr);
   1420 
   1421 #define mpf_sub_ui __gmpf_sub_ui
   1422 __GMP_DECLSPEC void mpf_sub_ui (mpf_ptr, mpf_srcptr, unsigned long int);
   1423 
   1424 #define mpf_swap __gmpf_swap
   1425 __GMP_DECLSPEC void mpf_swap (mpf_ptr, mpf_ptr) __GMP_NOTHROW;
   1426 
   1427 #define mpf_trunc __gmpf_trunc
   1428 __GMP_DECLSPEC void mpf_trunc (mpf_ptr, mpf_srcptr);
   1429 
   1430 #define mpf_ui_div __gmpf_ui_div
   1431 __GMP_DECLSPEC void mpf_ui_div (mpf_ptr, unsigned long int, mpf_srcptr);
   1432 
   1433 #define mpf_ui_sub __gmpf_ui_sub
   1434 __GMP_DECLSPEC void mpf_ui_sub (mpf_ptr, unsigned long int, mpf_srcptr);
   1435 
   1436 #define mpf_urandomb __gmpf_urandomb
   1437 __GMP_DECLSPEC void mpf_urandomb (mpf_t, gmp_randstate_t, mp_bitcnt_t);
   1438 
   1439 
   1440 /************ Low level positive-integer (i.e. N) routines.  ************/
   1441 
   1442 /* This is ugly, but we need to make user calls reach the prefixed function. */
   1443 
   1444 #define mpn_add __MPN(add)
   1445 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add)
   1446 __GMP_DECLSPEC mp_limb_t mpn_add (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
   1447 #endif
   1448 
   1449 #define mpn_add_1 __MPN(add_1)
   1450 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add_1)
   1451 __GMP_DECLSPEC mp_limb_t mpn_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
   1452 #endif
   1453 
   1454 #define mpn_add_n __MPN(add_n)
   1455 __GMP_DECLSPEC mp_limb_t mpn_add_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1456 
   1457 #define mpn_addmul_1 __MPN(addmul_1)
   1458 __GMP_DECLSPEC mp_limb_t mpn_addmul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
   1459 
   1460 #define mpn_cmp __MPN(cmp)
   1461 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_cmp)
   1462 __GMP_DECLSPEC int mpn_cmp (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1463 #endif
   1464 
   1465 #define mpn_divexact_by3(dst,src,size) \
   1466   mpn_divexact_by3c (dst, src, size, __GMP_CAST (mp_limb_t, 0))
   1467 
   1468 #define mpn_divexact_by3c __MPN(divexact_by3c)
   1469 __GMP_DECLSPEC mp_limb_t mpn_divexact_by3c (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
   1470 
   1471 #define mpn_divmod_1(qp,np,nsize,dlimb) \
   1472   mpn_divrem_1 (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dlimb)
   1473 
   1474 #define mpn_divrem __MPN(divrem)
   1475 __GMP_DECLSPEC mp_limb_t mpn_divrem (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t);
   1476 
   1477 #define mpn_divrem_1 __MPN(divrem_1)
   1478 __GMP_DECLSPEC mp_limb_t mpn_divrem_1 (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t);
   1479 
   1480 #define mpn_divrem_2 __MPN(divrem_2)
   1481 __GMP_DECLSPEC mp_limb_t mpn_divrem_2 (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr);
   1482 
   1483 #define mpn_div_qr_2 __MPN(div_qr_2)
   1484 __GMP_DECLSPEC mp_limb_t mpn_div_qr_2 (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
   1485 
   1486 #define mpn_gcd __MPN(gcd)
   1487 __GMP_DECLSPEC mp_size_t mpn_gcd (mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
   1488 
   1489 #define mpn_gcd_1 __MPN(gcd_1)
   1490 __GMP_DECLSPEC mp_limb_t mpn_gcd_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
   1491 
   1492 #define mpn_gcdext_1 __MPN(gcdext_1)
   1493 __GMP_DECLSPEC mp_limb_t mpn_gcdext_1 (mp_limb_signed_t *, mp_limb_signed_t *, mp_limb_t, mp_limb_t);
   1494 
   1495 #define mpn_gcdext __MPN(gcdext)
   1496 __GMP_DECLSPEC mp_size_t mpn_gcdext (mp_ptr, mp_ptr, mp_size_t *, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
   1497 
   1498 #define mpn_get_str __MPN(get_str)
   1499 __GMP_DECLSPEC size_t mpn_get_str (unsigned char *, int, mp_ptr, mp_size_t);
   1500 
   1501 #define mpn_hamdist __MPN(hamdist)
   1502 __GMP_DECLSPEC mp_bitcnt_t mpn_hamdist (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1503 
   1504 #define mpn_lshift __MPN(lshift)
   1505 __GMP_DECLSPEC mp_limb_t mpn_lshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
   1506 
   1507 #define mpn_mod_1 __MPN(mod_1)
   1508 __GMP_DECLSPEC mp_limb_t mpn_mod_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
   1509 
   1510 #define mpn_mul __MPN(mul)
   1511 __GMP_DECLSPEC mp_limb_t mpn_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
   1512 
   1513 #define mpn_mul_1 __MPN(mul_1)
   1514 __GMP_DECLSPEC mp_limb_t mpn_mul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
   1515 
   1516 #define mpn_mul_n __MPN(mul_n)
   1517 __GMP_DECLSPEC void mpn_mul_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1518 
   1519 #define mpn_sqr __MPN(sqr)
   1520 __GMP_DECLSPEC void mpn_sqr (mp_ptr, mp_srcptr, mp_size_t);
   1521 
   1522 #define mpn_neg __MPN(neg)
   1523 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_neg)
   1524 __GMP_DECLSPEC mp_limb_t mpn_neg (mp_ptr, mp_srcptr, mp_size_t);
   1525 #endif
   1526 
   1527 #define mpn_com __MPN(com)
   1528 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_com)
   1529 __GMP_DECLSPEC void mpn_com (mp_ptr, mp_srcptr, mp_size_t);
   1530 #endif
   1531 
   1532 #define mpn_perfect_square_p __MPN(perfect_square_p)
   1533 __GMP_DECLSPEC int mpn_perfect_square_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
   1534 
   1535 #define mpn_perfect_power_p __MPN(perfect_power_p)
   1536 __GMP_DECLSPEC int mpn_perfect_power_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
   1537 
   1538 #define mpn_popcount __MPN(popcount)
   1539 __GMP_DECLSPEC mp_bitcnt_t mpn_popcount (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1540 
   1541 #define mpn_pow_1 __MPN(pow_1)
   1542 __GMP_DECLSPEC mp_size_t mpn_pow_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
   1543 
   1544 /* undocumented now, but retained here for upward compatibility */
   1545 #define mpn_preinv_mod_1 __MPN(preinv_mod_1)
   1546 __GMP_DECLSPEC mp_limb_t mpn_preinv_mod_1 (mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
   1547 
   1548 #define mpn_random __MPN(random)
   1549 __GMP_DECLSPEC void mpn_random (mp_ptr, mp_size_t);
   1550 
   1551 #define mpn_random2 __MPN(random2)
   1552 __GMP_DECLSPEC void mpn_random2 (mp_ptr, mp_size_t);
   1553 
   1554 #define mpn_rshift __MPN(rshift)
   1555 __GMP_DECLSPEC mp_limb_t mpn_rshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
   1556 
   1557 #define mpn_scan0 __MPN(scan0)
   1558 __GMP_DECLSPEC mp_bitcnt_t mpn_scan0 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
   1559 
   1560 #define mpn_scan1 __MPN(scan1)
   1561 __GMP_DECLSPEC mp_bitcnt_t mpn_scan1 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
   1562 
   1563 #define mpn_set_str __MPN(set_str)
   1564 __GMP_DECLSPEC mp_size_t mpn_set_str (mp_ptr, const unsigned char *, size_t, int);
   1565 
   1566 #define mpn_sqrtrem __MPN(sqrtrem)
   1567 __GMP_DECLSPEC mp_size_t mpn_sqrtrem (mp_ptr, mp_ptr, mp_srcptr, mp_size_t);
   1568 
   1569 #define mpn_sub __MPN(sub)
   1570 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub)
   1571 __GMP_DECLSPEC mp_limb_t mpn_sub (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
   1572 #endif
   1573 
   1574 #define mpn_sub_1 __MPN(sub_1)
   1575 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub_1)
   1576 __GMP_DECLSPEC mp_limb_t mpn_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
   1577 #endif
   1578 
   1579 #define mpn_sub_n __MPN(sub_n)
   1580 __GMP_DECLSPEC mp_limb_t mpn_sub_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1581 
   1582 #define mpn_submul_1 __MPN(submul_1)
   1583 __GMP_DECLSPEC mp_limb_t mpn_submul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
   1584 
   1585 #define mpn_tdiv_qr __MPN(tdiv_qr)
   1586 __GMP_DECLSPEC void mpn_tdiv_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
   1587 
   1588 #define mpn_and_n __MPN(and_n)
   1589 __GMP_DECLSPEC void mpn_and_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1590 #define mpn_andn_n __MPN(andn_n)
   1591 __GMP_DECLSPEC void mpn_andn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1592 #define mpn_nand_n __MPN(nand_n)
   1593 __GMP_DECLSPEC void mpn_nand_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1594 #define mpn_ior_n __MPN(ior_n)
   1595 __GMP_DECLSPEC void mpn_ior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1596 #define mpn_iorn_n __MPN(iorn_n)
   1597 __GMP_DECLSPEC void mpn_iorn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1598 #define mpn_nior_n __MPN(nior_n)
   1599 __GMP_DECLSPEC void mpn_nior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1600 #define mpn_xor_n __MPN(xor_n)
   1601 __GMP_DECLSPEC void mpn_xor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1602 #define mpn_xnor_n __MPN(xnor_n)
   1603 __GMP_DECLSPEC void mpn_xnor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1604 
   1605 #define mpn_copyi __MPN(copyi)
   1606 __GMP_DECLSPEC void mpn_copyi (mp_ptr, mp_srcptr, mp_size_t);
   1607 #define mpn_copyd __MPN(copyd)
   1608 __GMP_DECLSPEC void mpn_copyd (mp_ptr, mp_srcptr, mp_size_t);
   1609 #define mpn_zero __MPN(zero)
   1610 __GMP_DECLSPEC void mpn_zero (mp_ptr, mp_size_t);
   1611 
   1612 #define mpn_udiv_w_sdiv __MPN(udiv_w_sdiv)
   1613 __GMP_DECLSPEC mp_limb_t mpn_udiv_w_sdiv (mp_limb_t *, mp_limb_t, mp_limb_t, mp_limb_t);
   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 "-O2 -pedantic -fomit-frame-pointer -m68000"
   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