android-gmp

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gmp.h (84208B)


      1 /* Definitions for GNU multiple precision functions.   -*- mode: c -*-
      2 
      3 Copyright 1991, 1993-1997, 1999-2016, 2020 Free Software Foundation, Inc.
      4 
      5 This file is part of the GNU MP Library.
      6 
      7 The GNU MP Library is free software; you can redistribute it and/or modify
      8 it under the terms of either:
      9 
     10   * the GNU Lesser General Public License as published by the Free
     11     Software Foundation; either version 3 of the License, or (at your
     12     option) any later version.
     13 
     14 or
     15 
     16   * the GNU General Public License as published by the Free Software
     17     Foundation; either version 2 of the License, or (at your option) any
     18     later version.
     19 
     20 or both in parallel, as here.
     21 
     22 The GNU MP Library is distributed in the hope that it will be useful, but
     23 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
     24 or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
     25 for more details.
     26 
     27 You should have received copies of the GNU General Public License and the
     28 GNU Lesser General Public License along with the GNU MP Library.  If not,
     29 see https://www.gnu.org/licenses/.  */
     30 
     31 #ifndef __GMP_H__
     32 
     33 #if defined (__cplusplus)
     34 #include <iosfwd>   /* for std::istream, std::ostream, std::string */
     35 #include <cstdio>
     36 #endif
     37 
     38 
     39 /* Instantiated by configure. */
     40 #if ! defined (__GMP_WITHIN_CONFIGURE)
     41 #define __GMP_HAVE_HOST_CPU_FAMILY_power   0
     42 #define __GMP_HAVE_HOST_CPU_FAMILY_powerpc 0
     43 #define GMP_LIMB_BITS                      64
     44 #define GMP_NAIL_BITS                      0
     45 #endif
     46 #define GMP_NUMB_BITS     (GMP_LIMB_BITS - GMP_NAIL_BITS)
     47 #define GMP_NUMB_MASK     ((~ __GMP_CAST (mp_limb_t, 0)) >> GMP_NAIL_BITS)
     48 #define GMP_NUMB_MAX      GMP_NUMB_MASK
     49 #define GMP_NAIL_MASK     (~ GMP_NUMB_MASK)
     50 
     51 
     52 #ifndef __GNU_MP__
     53 #define __GNU_MP__ 6
     54 
     55 #include <stddef.h>    /* for size_t */
     56 #include <limits.h>
     57 
     58 /* Instantiated by configure. */
     59 #if ! defined (__GMP_WITHIN_CONFIGURE)
     60 /* #undef _LONG_LONG_LIMB */
     61 #define __GMP_LIBGMP_DLL  0
     62 #endif
     63 
     64 
     65 /* __GMP_DECLSPEC supports Windows DLL versions of libgmp, and is empty in
     66    all other circumstances.
     67 
     68    When compiling objects for libgmp, __GMP_DECLSPEC is an export directive,
     69    or when compiling for an application it's an import directive.  The two
     70    cases are differentiated by __GMP_WITHIN_GMP defined by the GMP Makefiles
     71    (and not defined from an application).
     72 
     73    __GMP_DECLSPEC_XX is similarly used for libgmpxx.  __GMP_WITHIN_GMPXX
     74    indicates when building libgmpxx, and in that case libgmpxx functions are
     75    exports, but libgmp functions which might get called are imports.
     76 
     77    Libtool DLL_EXPORT define is not used.
     78 
     79    There's no attempt to support GMP built both static and DLL.  Doing so
     80    would mean applications would have to tell us which of the two is going
     81    to be used when linking, and that seems very tedious and error prone if
     82    using GMP by hand, and equally tedious from a package since autoconf and
     83    automake don't give much help.
     84 
     85    __GMP_DECLSPEC is required on all documented global functions and
     86    variables, the various internals in gmp-impl.h etc can be left unadorned.
     87    But internals used by the test programs or speed measuring programs
     88    should have __GMP_DECLSPEC, and certainly constants or variables must
     89    have it or the wrong address will be resolved.
     90 
     91    In gcc __declspec can go at either the start or end of a prototype.
     92 
     93    In Microsoft C __declspec must go at the start, or after the type like
     94    void __declspec(...) *foo()".  There's no __dllexport or anything to
     95    guard against someone foolish #defining dllexport.  _export used to be
     96    available, but no longer.
     97 
     98    In Borland C _export still exists, but needs to go after the type, like
     99    "void _export foo();".  Would have to change the __GMP_DECLSPEC syntax to
    100    make use of that.  Probably more trouble than it's worth.  */
    101 
    102 #if defined (__GNUC__)
    103 #define __GMP_DECLSPEC_EXPORT  __declspec(__dllexport__)
    104 #define __GMP_DECLSPEC_IMPORT  __declspec(__dllimport__)
    105 #endif
    106 #if defined (_MSC_VER) || defined (__BORLANDC__)
    107 #define __GMP_DECLSPEC_EXPORT  __declspec(dllexport)
    108 #define __GMP_DECLSPEC_IMPORT  __declspec(dllimport)
    109 #endif
    110 #ifdef __WATCOMC__
    111 #define __GMP_DECLSPEC_EXPORT  __export
    112 #define __GMP_DECLSPEC_IMPORT  __import
    113 #endif
    114 #ifdef __IBMC__
    115 #define __GMP_DECLSPEC_EXPORT  _Export
    116 #define __GMP_DECLSPEC_IMPORT  _Import
    117 #endif
    118 
    119 #if __GMP_LIBGMP_DLL
    120 #ifdef __GMP_WITHIN_GMP
    121 /* compiling to go into a DLL libgmp */
    122 #define __GMP_DECLSPEC  __GMP_DECLSPEC_EXPORT
    123 #else
    124 /* compiling to go into an application which will link to a DLL libgmp */
    125 #define __GMP_DECLSPEC  __GMP_DECLSPEC_IMPORT
    126 #endif
    127 #else
    128 /* all other cases */
    129 #define __GMP_DECLSPEC
    130 #endif
    131 
    132 
    133 #ifdef __GMP_SHORT_LIMB
    134 typedef unsigned int		mp_limb_t;
    135 typedef int			mp_limb_signed_t;
    136 #else
    137 #ifdef _LONG_LONG_LIMB
    138 typedef unsigned long long int	mp_limb_t;
    139 typedef long long int		mp_limb_signed_t;
    140 #else
    141 typedef unsigned long int	mp_limb_t;
    142 typedef long int		mp_limb_signed_t;
    143 #endif
    144 #endif
    145 typedef unsigned long int	mp_bitcnt_t;
    146 
    147 /* For reference, note that the name __mpz_struct gets into C++ mangled
    148    function names, which means although the "__" suggests an internal, we
    149    must leave this name for binary compatibility.  */
    150 typedef struct
    151 {
    152   int _mp_alloc;		/* Number of *limbs* allocated and pointed
    153 				   to by the _mp_d field.  */
    154   int _mp_size;			/* abs(_mp_size) is the number of limbs the
    155 				   last field points to.  If _mp_size is
    156 				   negative this is a negative number.  */
    157   mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
    158 } __mpz_struct;
    159 
    160 #endif /* __GNU_MP__ */
    161 
    162 
    163 typedef __mpz_struct MP_INT;    /* gmp 1 source compatibility */
    164 typedef __mpz_struct mpz_t[1];
    165 
    166 typedef mp_limb_t *		mp_ptr;
    167 typedef const mp_limb_t *	mp_srcptr;
    168 #if defined (_CRAY) && ! defined (_CRAYMPP)
    169 /* plain `int' is much faster (48 bits) */
    170 #define __GMP_MP_SIZE_T_INT     1
    171 typedef int			mp_size_t;
    172 typedef int			mp_exp_t;
    173 #else
    174 #define __GMP_MP_SIZE_T_INT     0
    175 typedef long int		mp_size_t;
    176 typedef long int		mp_exp_t;
    177 #endif
    178 
    179 typedef struct
    180 {
    181   __mpz_struct _mp_num;
    182   __mpz_struct _mp_den;
    183 } __mpq_struct;
    184 
    185 typedef __mpq_struct MP_RAT;    /* gmp 1 source compatibility */
    186 typedef __mpq_struct mpq_t[1];
    187 
    188 typedef struct
    189 {
    190   int _mp_prec;			/* Max precision, in number of `mp_limb_t's.
    191 				   Set by mpf_init and modified by
    192 				   mpf_set_prec.  The area pointed to by the
    193 				   _mp_d field contains `prec' + 1 limbs.  */
    194   int _mp_size;			/* abs(_mp_size) is the number of limbs the
    195 				   last field points to.  If _mp_size is
    196 				   negative this is a negative number.  */
    197   mp_exp_t _mp_exp;		/* Exponent, in the base of `mp_limb_t'.  */
    198   mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
    199 } __mpf_struct;
    200 
    201 /* typedef __mpf_struct MP_FLOAT; */
    202 typedef __mpf_struct mpf_t[1];
    203 
    204 /* Available random number generation algorithms.  */
    205 typedef enum
    206 {
    207   GMP_RAND_ALG_DEFAULT = 0,
    208   GMP_RAND_ALG_LC = GMP_RAND_ALG_DEFAULT /* Linear congruential.  */
    209 } gmp_randalg_t;
    210 
    211 /* Random state struct.  */
    212 typedef struct
    213 {
    214   mpz_t _mp_seed;	  /* _mp_d member points to state of the generator. */
    215   gmp_randalg_t _mp_alg;  /* Currently unused. */
    216   union {
    217     void *_mp_lc;         /* Pointer to function pointers structure.  */
    218   } _mp_algdata;
    219 } __gmp_randstate_struct;
    220 typedef __gmp_randstate_struct gmp_randstate_t[1];
    221 
    222 /* Types for function declarations in gmp files.  */
    223 /* ??? Should not pollute user name space with these ??? */
    224 typedef const __mpz_struct *mpz_srcptr;
    225 typedef __mpz_struct *mpz_ptr;
    226 typedef const __mpf_struct *mpf_srcptr;
    227 typedef __mpf_struct *mpf_ptr;
    228 typedef const __mpq_struct *mpq_srcptr;
    229 typedef __mpq_struct *mpq_ptr;
    230 
    231 
    232 #if __GMP_LIBGMP_DLL
    233 #ifdef __GMP_WITHIN_GMPXX
    234 /* compiling to go into a DLL libgmpxx */
    235 #define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_EXPORT
    236 #else
    237 /* compiling to go into a application which will link to a DLL libgmpxx */
    238 #define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_IMPORT
    239 #endif
    240 #else
    241 /* all other cases */
    242 #define __GMP_DECLSPEC_XX
    243 #endif
    244 
    245 
    246 #ifndef __MPN
    247 #define __MPN(x) __gmpn_##x
    248 #endif
    249 
    250 /* For reference, "defined(EOF)" cannot be used here.  In g++ 2.95.4,
    251    <iostream> defines EOF but not FILE.  */
    252 #if defined (FILE)                                              \
    253   || defined (H_STDIO)                                          \
    254   || defined (_H_STDIO)               /* AIX */                 \
    255   || defined (_STDIO_H)               /* glibc, Sun, SCO */     \
    256   || defined (_STDIO_H_)              /* BSD, OSF */            \
    257   || defined (__STDIO_H)              /* Borland */             \
    258   || defined (__STDIO_H__)            /* IRIX */                \
    259   || defined (_STDIO_INCLUDED)        /* HPUX */                \
    260   || defined (__dj_include_stdio_h_)  /* DJGPP */               \
    261   || defined (_FILE_DEFINED)          /* Microsoft */           \
    262   || defined (__STDIO__)              /* Apple MPW MrC */       \
    263   || defined (_MSL_STDIO_H)           /* Metrowerks */          \
    264   || defined (_STDIO_H_INCLUDED)      /* QNX4 */		\
    265   || defined (_ISO_STDIO_ISO_H)       /* Sun C++ */		\
    266   || defined (__STDIO_LOADED)         /* VMS */			\
    267   || defined (__DEFINED_FILE)         /* musl */
    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 defined,
    280    via an application having included <stdarg.h>.  Usually va_list is a typedef
    281    so can't be tested directly, but C99 specifies that va_start is a macro.
    282 
    283    <stdio.h> will define some sort of va_list for vprintf and vfprintf, but
    284    let's not bother trying to use that since it's not standard and since
    285    application uses for gmp_vprintf etc will almost certainly require the
    286    whole <stdarg.h> anyway.  */
    287 
    288 #ifdef va_start
    289 #define _GMP_H_HAVE_VA_LIST 1
    290 #endif
    291 
    292 /* Test for gcc >= maj.min, as per __GNUC_PREREQ in glibc */
    293 #if defined (__GNUC__) && defined (__GNUC_MINOR__)
    294 #define __GMP_GNUC_PREREQ(maj, min) \
    295   ((__GNUC__ << 16) + __GNUC_MINOR__ >= ((maj) << 16) + (min))
    296 #else
    297 #define __GMP_GNUC_PREREQ(maj, min)  0
    298 #endif
    299 
    300 /* "pure" is in gcc 2.96 and up, see "(gcc)Function Attributes".  Basically
    301    it means a function does nothing but examine its arguments and memory
    302    (global or via arguments) to generate a return value, but changes nothing
    303    and has no side-effects.  __GMP_NO_ATTRIBUTE_CONST_PURE lets
    304    tune/common.c etc turn this off when trying to write timing loops.  */
    305 #if __GMP_GNUC_PREREQ (2,96) && ! defined (__GMP_NO_ATTRIBUTE_CONST_PURE)
    306 #define __GMP_ATTRIBUTE_PURE   __attribute__ ((__pure__))
    307 #else
    308 #define __GMP_ATTRIBUTE_PURE
    309 #endif
    310 
    311 
    312 /* __GMP_CAST allows us to use static_cast in C++, so our macros are clean
    313    to "g++ -Wold-style-cast".
    314 
    315    Casts in "extern inline" code within an extern "C" block don't induce
    316    these warnings, so __GMP_CAST only needs to be used on documented
    317    macros.  */
    318 
    319 #ifdef __cplusplus
    320 #define __GMP_CAST(type, expr)  (static_cast<type> (expr))
    321 #else
    322 #define __GMP_CAST(type, expr)  ((type) (expr))
    323 #endif
    324 
    325 
    326 /* An empty "throw ()" means the function doesn't throw any C++ exceptions,
    327    this can save some stack frame info in applications.
    328 
    329    Currently it's given only on functions which never divide-by-zero etc,
    330    don't allocate memory, and are expected to never need to allocate memory.
    331    This leaves open the possibility of a C++ throw from a future GMP
    332    exceptions scheme.
    333 
    334    mpz_set_ui etc are omitted to leave open the lazy allocation scheme
    335    described in doc/tasks.html.  mpz_get_d etc are omitted to leave open
    336    exceptions for float overflows.
    337 
    338    Note that __GMP_NOTHROW must be given on any inlines the same as on their
    339    prototypes (for g++ at least, where they're used together).  Note also
    340    that g++ 3.0 demands that __GMP_NOTHROW is before other attributes like
    341    __GMP_ATTRIBUTE_PURE.  */
    342 
    343 #if defined (__cplusplus)
    344 #if __cplusplus >= 201103L
    345 #define __GMP_NOTHROW  noexcept
    346 #else
    347 #define __GMP_NOTHROW  throw ()
    348 #endif
    349 #else
    350 #define __GMP_NOTHROW
    351 #endif
    352 
    353 
    354 /* PORTME: What other compilers have a useful "extern inline"?  "static
    355    inline" would be an acceptable substitute if the compiler (or linker)
    356    discards unused statics.  */
    357 
    358  /* gcc has __inline__ in all modes, including strict ansi.  Give a prototype
    359     for an inline too, so as to correctly specify "dllimport" on windows, in
    360     case the function is called rather than inlined.
    361     GCC 4.3 and above with -std=c99 or -std=gnu99 implements ISO C99
    362     inline semantics, unless -fgnu89-inline is used.  */
    363 #ifdef __GNUC__
    364 #if (defined __GNUC_STDC_INLINE__) || (__GNUC__ == 4 && __GNUC_MINOR__ == 2) \
    365   || (defined __GNUC_GNU_INLINE__ && defined __cplusplus)
    366 #define __GMP_EXTERN_INLINE extern __inline__ __attribute__ ((__gnu_inline__))
    367 #else
    368 #define __GMP_EXTERN_INLINE      extern __inline__
    369 #endif
    370 #define __GMP_INLINE_PROTOTYPES  1
    371 #endif
    372 
    373 /* DEC C (eg. version 5.9) supports "static __inline foo()", even in -std1
    374    strict ANSI mode.  Inlining is done even when not optimizing (ie. -O0
    375    mode, which is the default), but an unnecessary local copy of foo is
    376    emitted unless -O is used.  "extern __inline" is accepted, but the
    377    "extern" appears to be ignored, ie. it becomes a plain global function
    378    but which is inlined within its file.  Don't know if all old versions of
    379    DEC C supported __inline, but as a start let's do the right thing for
    380    current versions.  */
    381 #ifdef __DECC
    382 #define __GMP_EXTERN_INLINE  static __inline
    383 #endif
    384 
    385 /* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict
    386    ANSI mode (__STDC__ is 1 in that mode).  Inlining only actually takes
    387    place under -O.  Without -O "foo" seems to be emitted whether it's used
    388    or not, which is wasteful.  "extern inline foo()" isn't useful, the
    389    "extern" is apparently ignored, so foo is inlined if possible but also
    390    emitted as a global, which causes multiple definition errors when
    391    building a shared libgmp.  */
    392 #ifdef __SCO_VERSION__
    393 #if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
    394   && ! defined (__GMP_EXTERN_INLINE)
    395 #define __GMP_EXTERN_INLINE  static inline
    396 #endif
    397 #endif
    398 
    399 /* Microsoft's C compiler accepts __inline */
    400 #ifdef _MSC_VER
    401 #define __GMP_EXTERN_INLINE  __inline
    402 #endif
    403 
    404 /* Recent enough Sun C compilers want "inline" */
    405 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x560 \
    406   && ! defined (__GMP_EXTERN_INLINE)
    407 #define __GMP_EXTERN_INLINE  inline
    408 #endif
    409 
    410 /* Somewhat older Sun C compilers want "static inline" */
    411 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x540 \
    412   && ! defined (__GMP_EXTERN_INLINE)
    413 #define __GMP_EXTERN_INLINE  static inline
    414 #endif
    415 
    416 
    417 /* C++ always has "inline" and since it's a normal feature the linker should
    418    discard duplicate non-inlined copies, or if it doesn't then that's a
    419    problem for everyone, not just GMP.  */
    420 #if defined (__cplusplus) && ! defined (__GMP_EXTERN_INLINE)
    421 #define __GMP_EXTERN_INLINE  inline
    422 #endif
    423 
    424 /* Don't do any inlining within a configure run, since if the compiler ends
    425    up emitting copies of the code into the object file it can end up
    426    demanding the various support routines (like mpn_popcount) for linking,
    427    making the "alloca" test and perhaps others fail.  And on hppa ia64 a
    428    pre-release gcc 3.2 was seen not respecting the "extern" in "extern
    429    __inline__", triggering this problem too.  */
    430 #if defined (__GMP_WITHIN_CONFIGURE) && ! __GMP_WITHIN_CONFIGURE_INLINE
    431 #undef __GMP_EXTERN_INLINE
    432 #endif
    433 
    434 /* By default, don't give a prototype when there's going to be an inline
    435    version.  Note in particular that Cray C++ objects to the combination of
    436    prototype and inline.  */
    437 #ifdef __GMP_EXTERN_INLINE
    438 #ifndef __GMP_INLINE_PROTOTYPES
    439 #define __GMP_INLINE_PROTOTYPES  0
    440 #endif
    441 #else
    442 #define __GMP_INLINE_PROTOTYPES  1
    443 #endif
    444 
    445 
    446 #define __GMP_ABS(x)   ((x) >= 0 ? (x) : -(x))
    447 #define __GMP_MAX(h,i) ((h) > (i) ? (h) : (i))
    448 
    449 
    450 /* __builtin_expect is in gcc 3.0, and not in 2.95. */
    451 #if __GMP_GNUC_PREREQ (3,0)
    452 #define __GMP_LIKELY(cond)    __builtin_expect ((cond) != 0, 1)
    453 #define __GMP_UNLIKELY(cond)  __builtin_expect ((cond) != 0, 0)
    454 #else
    455 #define __GMP_LIKELY(cond)    (cond)
    456 #define __GMP_UNLIKELY(cond)  (cond)
    457 #endif
    458 
    459 #ifdef _CRAY
    460 #define __GMP_CRAY_Pragma(str)  _Pragma (str)
    461 #else
    462 #define __GMP_CRAY_Pragma(str)
    463 #endif
    464 
    465 
    466 /* Allow direct user access to numerator and denominator of an mpq_t object.  */
    467 #define mpq_numref(Q) (&((Q)->_mp_num))
    468 #define mpq_denref(Q) (&((Q)->_mp_den))
    469 
    470 
    471 #if defined (__cplusplus)
    472 extern "C" {
    473 using std::FILE;
    474 #endif
    475 
    476 #define mp_set_memory_functions __gmp_set_memory_functions
    477 __GMP_DECLSPEC void mp_set_memory_functions (void *(*) (size_t),
    478 				      void *(*) (void *, size_t, size_t),
    479 				      void (*) (void *, size_t)) __GMP_NOTHROW;
    480 
    481 #define mp_get_memory_functions __gmp_get_memory_functions
    482 __GMP_DECLSPEC void mp_get_memory_functions (void *(**) (size_t),
    483 				      void *(**) (void *, size_t, size_t),
    484 				      void (**) (void *, size_t)) __GMP_NOTHROW;
    485 
    486 #define mp_bits_per_limb __gmp_bits_per_limb
    487 __GMP_DECLSPEC extern const int mp_bits_per_limb;
    488 
    489 #define gmp_errno __gmp_errno
    490 __GMP_DECLSPEC extern int gmp_errno;
    491 
    492 #define gmp_version __gmp_version
    493 __GMP_DECLSPEC extern const char * const gmp_version;
    494 
    495 
    496 /**************** Random number routines.  ****************/
    497 
    498 /* obsolete */
    499 #define gmp_randinit __gmp_randinit
    500 __GMP_DECLSPEC void gmp_randinit (gmp_randstate_t, gmp_randalg_t, ...);
    501 
    502 #define gmp_randinit_default __gmp_randinit_default
    503 __GMP_DECLSPEC void gmp_randinit_default (gmp_randstate_t);
    504 
    505 #define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
    506 __GMP_DECLSPEC void gmp_randinit_lc_2exp (gmp_randstate_t, mpz_srcptr, unsigned long int, mp_bitcnt_t);
    507 
    508 #define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size
    509 __GMP_DECLSPEC int gmp_randinit_lc_2exp_size (gmp_randstate_t, mp_bitcnt_t);
    510 
    511 #define gmp_randinit_mt __gmp_randinit_mt
    512 __GMP_DECLSPEC void gmp_randinit_mt (gmp_randstate_t);
    513 
    514 #define gmp_randinit_set __gmp_randinit_set
    515 __GMP_DECLSPEC void gmp_randinit_set (gmp_randstate_t, const __gmp_randstate_struct *);
    516 
    517 #define gmp_randseed __gmp_randseed
    518 __GMP_DECLSPEC void gmp_randseed (gmp_randstate_t, mpz_srcptr);
    519 
    520 #define gmp_randseed_ui __gmp_randseed_ui
    521 __GMP_DECLSPEC void gmp_randseed_ui (gmp_randstate_t, unsigned long int);
    522 
    523 #define gmp_randclear __gmp_randclear
    524 __GMP_DECLSPEC void gmp_randclear (gmp_randstate_t);
    525 
    526 #define gmp_urandomb_ui __gmp_urandomb_ui
    527 __GMP_DECLSPEC unsigned long gmp_urandomb_ui (gmp_randstate_t, unsigned long);
    528 
    529 #define gmp_urandomm_ui __gmp_urandomm_ui
    530 __GMP_DECLSPEC unsigned long gmp_urandomm_ui (gmp_randstate_t, unsigned long);
    531 
    532 
    533 /**************** Formatted output routines.  ****************/
    534 
    535 #define gmp_asprintf __gmp_asprintf
    536 __GMP_DECLSPEC int gmp_asprintf (char **, const char *, ...);
    537 
    538 #define gmp_fprintf __gmp_fprintf
    539 #ifdef _GMP_H_HAVE_FILE
    540 __GMP_DECLSPEC int gmp_fprintf (FILE *, const char *, ...);
    541 #endif
    542 
    543 #define gmp_obstack_printf __gmp_obstack_printf
    544 #if defined (_GMP_H_HAVE_OBSTACK)
    545 __GMP_DECLSPEC int gmp_obstack_printf (struct obstack *, const char *, ...);
    546 #endif
    547 
    548 #define gmp_obstack_vprintf __gmp_obstack_vprintf
    549 #if defined (_GMP_H_HAVE_OBSTACK) && defined (_GMP_H_HAVE_VA_LIST)
    550 __GMP_DECLSPEC int gmp_obstack_vprintf (struct obstack *, const char *, va_list);
    551 #endif
    552 
    553 #define gmp_printf __gmp_printf
    554 __GMP_DECLSPEC int gmp_printf (const char *, ...);
    555 
    556 #define gmp_snprintf __gmp_snprintf
    557 __GMP_DECLSPEC int gmp_snprintf (char *, size_t, const char *, ...);
    558 
    559 #define gmp_sprintf __gmp_sprintf
    560 __GMP_DECLSPEC int gmp_sprintf (char *, const char *, ...);
    561 
    562 #define gmp_vasprintf __gmp_vasprintf
    563 #if defined (_GMP_H_HAVE_VA_LIST)
    564 __GMP_DECLSPEC int gmp_vasprintf (char **, const char *, va_list);
    565 #endif
    566 
    567 #define gmp_vfprintf __gmp_vfprintf
    568 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
    569 __GMP_DECLSPEC int gmp_vfprintf (FILE *, const char *, va_list);
    570 #endif
    571 
    572 #define gmp_vprintf __gmp_vprintf
    573 #if defined (_GMP_H_HAVE_VA_LIST)
    574 __GMP_DECLSPEC int gmp_vprintf (const char *, va_list);
    575 #endif
    576 
    577 #define gmp_vsnprintf __gmp_vsnprintf
    578 #if defined (_GMP_H_HAVE_VA_LIST)
    579 __GMP_DECLSPEC int gmp_vsnprintf (char *, size_t, const char *, va_list);
    580 #endif
    581 
    582 #define gmp_vsprintf __gmp_vsprintf
    583 #if defined (_GMP_H_HAVE_VA_LIST)
    584 __GMP_DECLSPEC int gmp_vsprintf (char *, const char *, va_list);
    585 #endif
    586 
    587 
    588 /**************** Formatted input routines.  ****************/
    589 
    590 #define gmp_fscanf __gmp_fscanf
    591 #ifdef _GMP_H_HAVE_FILE
    592 __GMP_DECLSPEC int gmp_fscanf (FILE *, const char *, ...);
    593 #endif
    594 
    595 #define gmp_scanf __gmp_scanf
    596 __GMP_DECLSPEC int gmp_scanf (const char *, ...);
    597 
    598 #define gmp_sscanf __gmp_sscanf
    599 __GMP_DECLSPEC int gmp_sscanf (const char *, const char *, ...);
    600 
    601 #define gmp_vfscanf __gmp_vfscanf
    602 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
    603 __GMP_DECLSPEC int gmp_vfscanf (FILE *, const char *, va_list);
    604 #endif
    605 
    606 #define gmp_vscanf __gmp_vscanf
    607 #if defined (_GMP_H_HAVE_VA_LIST)
    608 __GMP_DECLSPEC int gmp_vscanf (const char *, va_list);
    609 #endif
    610 
    611 #define gmp_vsscanf __gmp_vsscanf
    612 #if defined (_GMP_H_HAVE_VA_LIST)
    613 __GMP_DECLSPEC int gmp_vsscanf (const char *, const char *, va_list);
    614 #endif
    615 
    616 
    617 /**************** Integer (i.e. Z) routines.  ****************/
    618 
    619 #define _mpz_realloc __gmpz_realloc
    620 #define mpz_realloc __gmpz_realloc
    621 __GMP_DECLSPEC void *_mpz_realloc (mpz_ptr, mp_size_t);
    622 
    623 #define mpz_abs __gmpz_abs
    624 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs)
    625 __GMP_DECLSPEC void mpz_abs (mpz_ptr, mpz_srcptr);
    626 #endif
    627 
    628 #define mpz_add __gmpz_add
    629 __GMP_DECLSPEC void mpz_add (mpz_ptr, mpz_srcptr, mpz_srcptr);
    630 
    631 #define mpz_add_ui __gmpz_add_ui
    632 __GMP_DECLSPEC void mpz_add_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    633 
    634 #define mpz_addmul __gmpz_addmul
    635 __GMP_DECLSPEC void mpz_addmul (mpz_ptr, mpz_srcptr, mpz_srcptr);
    636 
    637 #define mpz_addmul_ui __gmpz_addmul_ui
    638 __GMP_DECLSPEC void mpz_addmul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    639 
    640 #define mpz_and __gmpz_and
    641 __GMP_DECLSPEC void mpz_and (mpz_ptr, mpz_srcptr, mpz_srcptr);
    642 
    643 #define mpz_array_init __gmpz_array_init
    644 __GMP_DECLSPEC void mpz_array_init (mpz_ptr, mp_size_t, mp_size_t);
    645 
    646 #define mpz_bin_ui __gmpz_bin_ui
    647 __GMP_DECLSPEC void mpz_bin_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    648 
    649 #define mpz_bin_uiui __gmpz_bin_uiui
    650 __GMP_DECLSPEC void mpz_bin_uiui (mpz_ptr, unsigned long int, unsigned long int);
    651 
    652 #define mpz_cdiv_q __gmpz_cdiv_q
    653 __GMP_DECLSPEC void mpz_cdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
    654 
    655 #define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
    656 __GMP_DECLSPEC void mpz_cdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
    657 
    658 #define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
    659 __GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    660 
    661 #define mpz_cdiv_qr __gmpz_cdiv_qr
    662 __GMP_DECLSPEC void mpz_cdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
    663 
    664 #define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
    665 __GMP_DECLSPEC unsigned long int mpz_cdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
    666 
    667 #define mpz_cdiv_r __gmpz_cdiv_r
    668 __GMP_DECLSPEC void mpz_cdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
    669 
    670 #define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
    671 __GMP_DECLSPEC void mpz_cdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
    672 
    673 #define mpz_cdiv_r_ui __gmpz_cdiv_r_ui
    674 __GMP_DECLSPEC unsigned long int mpz_cdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    675 
    676 #define mpz_cdiv_ui __gmpz_cdiv_ui
    677 __GMP_DECLSPEC unsigned long int mpz_cdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
    678 
    679 #define mpz_clear __gmpz_clear
    680 __GMP_DECLSPEC void mpz_clear (mpz_ptr);
    681 
    682 #define mpz_clears __gmpz_clears
    683 __GMP_DECLSPEC void mpz_clears (mpz_ptr, ...);
    684 
    685 #define mpz_clrbit __gmpz_clrbit
    686 __GMP_DECLSPEC void mpz_clrbit (mpz_ptr, mp_bitcnt_t);
    687 
    688 #define mpz_cmp __gmpz_cmp
    689 __GMP_DECLSPEC int mpz_cmp (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    690 
    691 #define mpz_cmp_d __gmpz_cmp_d
    692 __GMP_DECLSPEC int mpz_cmp_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
    693 
    694 #define _mpz_cmp_si __gmpz_cmp_si
    695 __GMP_DECLSPEC int _mpz_cmp_si (mpz_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    696 
    697 #define _mpz_cmp_ui __gmpz_cmp_ui
    698 __GMP_DECLSPEC int _mpz_cmp_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    699 
    700 #define mpz_cmpabs __gmpz_cmpabs
    701 __GMP_DECLSPEC int mpz_cmpabs (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    702 
    703 #define mpz_cmpabs_d __gmpz_cmpabs_d
    704 __GMP_DECLSPEC int mpz_cmpabs_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
    705 
    706 #define mpz_cmpabs_ui __gmpz_cmpabs_ui
    707 __GMP_DECLSPEC int mpz_cmpabs_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    708 
    709 #define mpz_com __gmpz_com
    710 __GMP_DECLSPEC void mpz_com (mpz_ptr, mpz_srcptr);
    711 
    712 #define mpz_combit __gmpz_combit
    713 __GMP_DECLSPEC void mpz_combit (mpz_ptr, mp_bitcnt_t);
    714 
    715 #define mpz_congruent_p __gmpz_congruent_p
    716 __GMP_DECLSPEC int mpz_congruent_p (mpz_srcptr, mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    717 
    718 #define mpz_congruent_2exp_p __gmpz_congruent_2exp_p
    719 __GMP_DECLSPEC int mpz_congruent_2exp_p (mpz_srcptr, mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    720 
    721 #define mpz_congruent_ui_p __gmpz_congruent_ui_p
    722 __GMP_DECLSPEC int mpz_congruent_ui_p (mpz_srcptr, unsigned long, unsigned long) __GMP_ATTRIBUTE_PURE;
    723 
    724 #define mpz_divexact __gmpz_divexact
    725 __GMP_DECLSPEC void mpz_divexact (mpz_ptr, mpz_srcptr, mpz_srcptr);
    726 
    727 #define mpz_divexact_ui __gmpz_divexact_ui
    728 __GMP_DECLSPEC void mpz_divexact_ui (mpz_ptr, mpz_srcptr, unsigned long);
    729 
    730 #define mpz_divisible_p __gmpz_divisible_p
    731 __GMP_DECLSPEC int mpz_divisible_p (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    732 
    733 #define mpz_divisible_ui_p __gmpz_divisible_ui_p
    734 __GMP_DECLSPEC int mpz_divisible_ui_p (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
    735 
    736 #define mpz_divisible_2exp_p __gmpz_divisible_2exp_p
    737 __GMP_DECLSPEC int mpz_divisible_2exp_p (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    738 
    739 #define mpz_dump __gmpz_dump
    740 __GMP_DECLSPEC void mpz_dump (mpz_srcptr);
    741 
    742 #define mpz_export __gmpz_export
    743 __GMP_DECLSPEC void *mpz_export (void *, size_t *, int, size_t, int, size_t, mpz_srcptr);
    744 
    745 #define mpz_fac_ui __gmpz_fac_ui
    746 __GMP_DECLSPEC void mpz_fac_ui (mpz_ptr, unsigned long int);
    747 
    748 #define mpz_2fac_ui __gmpz_2fac_ui
    749 __GMP_DECLSPEC void mpz_2fac_ui (mpz_ptr, unsigned long int);
    750 
    751 #define mpz_mfac_uiui __gmpz_mfac_uiui
    752 __GMP_DECLSPEC void mpz_mfac_uiui (mpz_ptr, unsigned long int, unsigned long int);
    753 
    754 #define mpz_primorial_ui __gmpz_primorial_ui
    755 __GMP_DECLSPEC void mpz_primorial_ui (mpz_ptr, unsigned long int);
    756 
    757 #define mpz_fdiv_q __gmpz_fdiv_q
    758 __GMP_DECLSPEC void mpz_fdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
    759 
    760 #define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
    761 __GMP_DECLSPEC void mpz_fdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
    762 
    763 #define mpz_fdiv_q_ui __gmpz_fdiv_q_ui
    764 __GMP_DECLSPEC unsigned long int mpz_fdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    765 
    766 #define mpz_fdiv_qr __gmpz_fdiv_qr
    767 __GMP_DECLSPEC void mpz_fdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
    768 
    769 #define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui
    770 __GMP_DECLSPEC unsigned long int mpz_fdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
    771 
    772 #define mpz_fdiv_r __gmpz_fdiv_r
    773 __GMP_DECLSPEC void mpz_fdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
    774 
    775 #define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
    776 __GMP_DECLSPEC void mpz_fdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
    777 
    778 #define mpz_fdiv_r_ui __gmpz_fdiv_r_ui
    779 __GMP_DECLSPEC unsigned long int mpz_fdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    780 
    781 #define mpz_fdiv_ui __gmpz_fdiv_ui
    782 __GMP_DECLSPEC unsigned long int mpz_fdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
    783 
    784 #define mpz_fib_ui __gmpz_fib_ui
    785 __GMP_DECLSPEC void mpz_fib_ui (mpz_ptr, unsigned long int);
    786 
    787 #define mpz_fib2_ui __gmpz_fib2_ui
    788 __GMP_DECLSPEC void mpz_fib2_ui (mpz_ptr, mpz_ptr, unsigned long int);
    789 
    790 #define mpz_fits_sint_p __gmpz_fits_sint_p
    791 __GMP_DECLSPEC int mpz_fits_sint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    792 
    793 #define mpz_fits_slong_p __gmpz_fits_slong_p
    794 __GMP_DECLSPEC int mpz_fits_slong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    795 
    796 #define mpz_fits_sshort_p __gmpz_fits_sshort_p
    797 __GMP_DECLSPEC int mpz_fits_sshort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    798 
    799 #define mpz_fits_uint_p __gmpz_fits_uint_p
    800 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_uint_p)
    801 __GMP_DECLSPEC int mpz_fits_uint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    802 #endif
    803 
    804 #define mpz_fits_ulong_p __gmpz_fits_ulong_p
    805 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ulong_p)
    806 __GMP_DECLSPEC int mpz_fits_ulong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    807 #endif
    808 
    809 #define mpz_fits_ushort_p __gmpz_fits_ushort_p
    810 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ushort_p)
    811 __GMP_DECLSPEC int mpz_fits_ushort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    812 #endif
    813 
    814 #define mpz_gcd __gmpz_gcd
    815 __GMP_DECLSPEC void mpz_gcd (mpz_ptr, mpz_srcptr, mpz_srcptr);
    816 
    817 #define mpz_gcd_ui __gmpz_gcd_ui
    818 __GMP_DECLSPEC unsigned long int mpz_gcd_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    819 
    820 #define mpz_gcdext __gmpz_gcdext
    821 __GMP_DECLSPEC void mpz_gcdext (mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
    822 
    823 #define mpz_get_d __gmpz_get_d
    824 __GMP_DECLSPEC double mpz_get_d (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    825 
    826 #define mpz_get_d_2exp __gmpz_get_d_2exp
    827 __GMP_DECLSPEC double mpz_get_d_2exp (signed long int *, mpz_srcptr);
    828 
    829 #define mpz_get_si __gmpz_get_si
    830 __GMP_DECLSPEC /* signed */ long int mpz_get_si (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    831 
    832 #define mpz_get_str __gmpz_get_str
    833 __GMP_DECLSPEC char *mpz_get_str (char *, int, mpz_srcptr);
    834 
    835 #define mpz_get_ui __gmpz_get_ui
    836 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_get_ui)
    837 __GMP_DECLSPEC unsigned long int mpz_get_ui (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    838 #endif
    839 
    840 #define mpz_getlimbn __gmpz_getlimbn
    841 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_getlimbn)
    842 __GMP_DECLSPEC mp_limb_t mpz_getlimbn (mpz_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    843 #endif
    844 
    845 #define mpz_hamdist __gmpz_hamdist
    846 __GMP_DECLSPEC mp_bitcnt_t mpz_hamdist (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    847 
    848 #define mpz_import __gmpz_import
    849 __GMP_DECLSPEC void mpz_import (mpz_ptr, size_t, int, size_t, int, size_t, const void *);
    850 
    851 #define mpz_init __gmpz_init
    852 __GMP_DECLSPEC void mpz_init (mpz_ptr) __GMP_NOTHROW;
    853 
    854 #define mpz_init2 __gmpz_init2
    855 __GMP_DECLSPEC void mpz_init2 (mpz_ptr, mp_bitcnt_t);
    856 
    857 #define mpz_inits __gmpz_inits
    858 __GMP_DECLSPEC void mpz_inits (mpz_ptr, ...) __GMP_NOTHROW;
    859 
    860 #define mpz_init_set __gmpz_init_set
    861 __GMP_DECLSPEC void mpz_init_set (mpz_ptr, mpz_srcptr);
    862 
    863 #define mpz_init_set_d __gmpz_init_set_d
    864 __GMP_DECLSPEC void mpz_init_set_d (mpz_ptr, double);
    865 
    866 #define mpz_init_set_si __gmpz_init_set_si
    867 __GMP_DECLSPEC void mpz_init_set_si (mpz_ptr, signed long int);
    868 
    869 #define mpz_init_set_str __gmpz_init_set_str
    870 __GMP_DECLSPEC int mpz_init_set_str (mpz_ptr, const char *, int);
    871 
    872 #define mpz_init_set_ui __gmpz_init_set_ui
    873 __GMP_DECLSPEC void mpz_init_set_ui (mpz_ptr, unsigned long int);
    874 
    875 #define mpz_inp_raw __gmpz_inp_raw
    876 #ifdef _GMP_H_HAVE_FILE
    877 __GMP_DECLSPEC size_t mpz_inp_raw (mpz_ptr, FILE *);
    878 #endif
    879 
    880 #define mpz_inp_str __gmpz_inp_str
    881 #ifdef _GMP_H_HAVE_FILE
    882 __GMP_DECLSPEC size_t mpz_inp_str (mpz_ptr, FILE *, int);
    883 #endif
    884 
    885 #define mpz_invert __gmpz_invert
    886 __GMP_DECLSPEC int mpz_invert (mpz_ptr, mpz_srcptr, mpz_srcptr);
    887 
    888 #define mpz_ior __gmpz_ior
    889 __GMP_DECLSPEC void mpz_ior (mpz_ptr, mpz_srcptr, mpz_srcptr);
    890 
    891 #define mpz_jacobi __gmpz_jacobi
    892 __GMP_DECLSPEC int mpz_jacobi (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    893 
    894 #define mpz_kronecker mpz_jacobi  /* alias */
    895 
    896 #define mpz_kronecker_si __gmpz_kronecker_si
    897 __GMP_DECLSPEC int mpz_kronecker_si (mpz_srcptr, long) __GMP_ATTRIBUTE_PURE;
    898 
    899 #define mpz_kronecker_ui __gmpz_kronecker_ui
    900 __GMP_DECLSPEC int mpz_kronecker_ui (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
    901 
    902 #define mpz_si_kronecker __gmpz_si_kronecker
    903 __GMP_DECLSPEC int mpz_si_kronecker (long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    904 
    905 #define mpz_ui_kronecker __gmpz_ui_kronecker
    906 __GMP_DECLSPEC int mpz_ui_kronecker (unsigned long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    907 
    908 #define mpz_lcm __gmpz_lcm
    909 __GMP_DECLSPEC void mpz_lcm (mpz_ptr, mpz_srcptr, mpz_srcptr);
    910 
    911 #define mpz_lcm_ui __gmpz_lcm_ui
    912 __GMP_DECLSPEC void mpz_lcm_ui (mpz_ptr, mpz_srcptr, unsigned long);
    913 
    914 #define mpz_legendre mpz_jacobi  /* alias */
    915 
    916 #define mpz_lucnum_ui __gmpz_lucnum_ui
    917 __GMP_DECLSPEC void mpz_lucnum_ui (mpz_ptr, unsigned long int);
    918 
    919 #define mpz_lucnum2_ui __gmpz_lucnum2_ui
    920 __GMP_DECLSPEC void mpz_lucnum2_ui (mpz_ptr, mpz_ptr, unsigned long int);
    921 
    922 #define mpz_millerrabin __gmpz_millerrabin
    923 __GMP_DECLSPEC int mpz_millerrabin (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
    924 
    925 #define mpz_mod __gmpz_mod
    926 __GMP_DECLSPEC void mpz_mod (mpz_ptr, mpz_srcptr, mpz_srcptr);
    927 
    928 #define mpz_mod_ui mpz_fdiv_r_ui /* same as fdiv_r because divisor unsigned */
    929 
    930 #define mpz_mul __gmpz_mul
    931 __GMP_DECLSPEC void mpz_mul (mpz_ptr, mpz_srcptr, mpz_srcptr);
    932 
    933 #define mpz_mul_2exp __gmpz_mul_2exp
    934 __GMP_DECLSPEC void mpz_mul_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
    935 
    936 #define mpz_mul_si __gmpz_mul_si
    937 __GMP_DECLSPEC void mpz_mul_si (mpz_ptr, mpz_srcptr, long int);
    938 
    939 #define mpz_mul_ui __gmpz_mul_ui
    940 __GMP_DECLSPEC void mpz_mul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    941 
    942 #define mpz_neg __gmpz_neg
    943 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_neg)
    944 __GMP_DECLSPEC void mpz_neg (mpz_ptr, mpz_srcptr);
    945 #endif
    946 
    947 #define mpz_nextprime __gmpz_nextprime
    948 __GMP_DECLSPEC void mpz_nextprime (mpz_ptr, mpz_srcptr);
    949 
    950 #define mpz_out_raw __gmpz_out_raw
    951 #ifdef _GMP_H_HAVE_FILE
    952 __GMP_DECLSPEC size_t mpz_out_raw (FILE *, mpz_srcptr);
    953 #endif
    954 
    955 #define mpz_out_str __gmpz_out_str
    956 #ifdef _GMP_H_HAVE_FILE
    957 __GMP_DECLSPEC size_t mpz_out_str (FILE *, int, mpz_srcptr);
    958 #endif
    959 
    960 #define mpz_perfect_power_p __gmpz_perfect_power_p
    961 __GMP_DECLSPEC int mpz_perfect_power_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    962 
    963 #define mpz_perfect_square_p __gmpz_perfect_square_p
    964 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_perfect_square_p)
    965 __GMP_DECLSPEC int mpz_perfect_square_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    966 #endif
    967 
    968 #define mpz_popcount __gmpz_popcount
    969 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_popcount)
    970 __GMP_DECLSPEC mp_bitcnt_t mpz_popcount (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    971 #endif
    972 
    973 #define mpz_pow_ui __gmpz_pow_ui
    974 __GMP_DECLSPEC void mpz_pow_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    975 
    976 #define mpz_powm __gmpz_powm
    977 __GMP_DECLSPEC void mpz_powm (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
    978 
    979 #define mpz_powm_sec __gmpz_powm_sec
    980 __GMP_DECLSPEC void mpz_powm_sec (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
    981 
    982 #define mpz_powm_ui __gmpz_powm_ui
    983 __GMP_DECLSPEC void mpz_powm_ui (mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr);
    984 
    985 #define mpz_probab_prime_p __gmpz_probab_prime_p
    986 __GMP_DECLSPEC int mpz_probab_prime_p (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
    987 
    988 #define mpz_random __gmpz_random
    989 __GMP_DECLSPEC void mpz_random (mpz_ptr, mp_size_t);
    990 
    991 #define mpz_random2 __gmpz_random2
    992 __GMP_DECLSPEC void mpz_random2 (mpz_ptr, mp_size_t);
    993 
    994 #define mpz_realloc2 __gmpz_realloc2
    995 __GMP_DECLSPEC void mpz_realloc2 (mpz_ptr, mp_bitcnt_t);
    996 
    997 #define mpz_remove __gmpz_remove
    998 __GMP_DECLSPEC mp_bitcnt_t mpz_remove (mpz_ptr, mpz_srcptr, mpz_srcptr);
    999 
   1000 #define mpz_root __gmpz_root
   1001 __GMP_DECLSPEC int mpz_root (mpz_ptr, mpz_srcptr, unsigned long int);
   1002 
   1003 #define mpz_rootrem __gmpz_rootrem
   1004 __GMP_DECLSPEC void mpz_rootrem (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
   1005 
   1006 #define mpz_rrandomb __gmpz_rrandomb
   1007 __GMP_DECLSPEC void mpz_rrandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
   1008 
   1009 #define mpz_scan0 __gmpz_scan0
   1010 __GMP_DECLSPEC mp_bitcnt_t mpz_scan0 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1011 
   1012 #define mpz_scan1 __gmpz_scan1
   1013 __GMP_DECLSPEC mp_bitcnt_t mpz_scan1 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1014 
   1015 #define mpz_set __gmpz_set
   1016 __GMP_DECLSPEC void mpz_set (mpz_ptr, mpz_srcptr);
   1017 
   1018 #define mpz_set_d __gmpz_set_d
   1019 __GMP_DECLSPEC void mpz_set_d (mpz_ptr, double);
   1020 
   1021 #define mpz_set_f __gmpz_set_f
   1022 __GMP_DECLSPEC void mpz_set_f (mpz_ptr, mpf_srcptr);
   1023 
   1024 #define mpz_set_q __gmpz_set_q
   1025 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_set_q)
   1026 __GMP_DECLSPEC void mpz_set_q (mpz_ptr, mpq_srcptr);
   1027 #endif
   1028 
   1029 #define mpz_set_si __gmpz_set_si
   1030 __GMP_DECLSPEC void mpz_set_si (mpz_ptr, signed long int);
   1031 
   1032 #define mpz_set_str __gmpz_set_str
   1033 __GMP_DECLSPEC int mpz_set_str (mpz_ptr, const char *, int);
   1034 
   1035 #define mpz_set_ui __gmpz_set_ui
   1036 __GMP_DECLSPEC void mpz_set_ui (mpz_ptr, unsigned long int);
   1037 
   1038 #define mpz_setbit __gmpz_setbit
   1039 __GMP_DECLSPEC void mpz_setbit (mpz_ptr, mp_bitcnt_t);
   1040 
   1041 #define mpz_size __gmpz_size
   1042 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_size)
   1043 __GMP_DECLSPEC size_t mpz_size (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1044 #endif
   1045 
   1046 #define mpz_sizeinbase __gmpz_sizeinbase
   1047 __GMP_DECLSPEC size_t mpz_sizeinbase (mpz_srcptr, int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1048 
   1049 #define mpz_sqrt __gmpz_sqrt
   1050 __GMP_DECLSPEC void mpz_sqrt (mpz_ptr, mpz_srcptr);
   1051 
   1052 #define mpz_sqrtrem __gmpz_sqrtrem
   1053 __GMP_DECLSPEC void mpz_sqrtrem (mpz_ptr, mpz_ptr, mpz_srcptr);
   1054 
   1055 #define mpz_sub __gmpz_sub
   1056 __GMP_DECLSPEC void mpz_sub (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1057 
   1058 #define mpz_sub_ui __gmpz_sub_ui
   1059 __GMP_DECLSPEC void mpz_sub_ui (mpz_ptr, mpz_srcptr, unsigned long int);
   1060 
   1061 #define mpz_ui_sub __gmpz_ui_sub
   1062 __GMP_DECLSPEC void mpz_ui_sub (mpz_ptr, unsigned long int, mpz_srcptr);
   1063 
   1064 #define mpz_submul __gmpz_submul
   1065 __GMP_DECLSPEC void mpz_submul (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1066 
   1067 #define mpz_submul_ui __gmpz_submul_ui
   1068 __GMP_DECLSPEC void mpz_submul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
   1069 
   1070 #define mpz_swap __gmpz_swap
   1071 __GMP_DECLSPEC void mpz_swap (mpz_ptr, mpz_ptr) __GMP_NOTHROW;
   1072 
   1073 #define mpz_tdiv_ui __gmpz_tdiv_ui
   1074 __GMP_DECLSPEC unsigned long int mpz_tdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
   1075 
   1076 #define mpz_tdiv_q __gmpz_tdiv_q
   1077 __GMP_DECLSPEC void mpz_tdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1078 
   1079 #define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp
   1080 __GMP_DECLSPEC void mpz_tdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
   1081 
   1082 #define mpz_tdiv_q_ui __gmpz_tdiv_q_ui
   1083 __GMP_DECLSPEC unsigned long int mpz_tdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
   1084 
   1085 #define mpz_tdiv_qr __gmpz_tdiv_qr
   1086 __GMP_DECLSPEC void mpz_tdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
   1087 
   1088 #define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui
   1089 __GMP_DECLSPEC unsigned long int mpz_tdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
   1090 
   1091 #define mpz_tdiv_r __gmpz_tdiv_r
   1092 __GMP_DECLSPEC void mpz_tdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1093 
   1094 #define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp
   1095 __GMP_DECLSPEC void mpz_tdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
   1096 
   1097 #define mpz_tdiv_r_ui __gmpz_tdiv_r_ui
   1098 __GMP_DECLSPEC unsigned long int mpz_tdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
   1099 
   1100 #define mpz_tstbit __gmpz_tstbit
   1101 __GMP_DECLSPEC int mpz_tstbit (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1102 
   1103 #define mpz_ui_pow_ui __gmpz_ui_pow_ui
   1104 __GMP_DECLSPEC void mpz_ui_pow_ui (mpz_ptr, unsigned long int, unsigned long int);
   1105 
   1106 #define mpz_urandomb __gmpz_urandomb
   1107 __GMP_DECLSPEC void mpz_urandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
   1108 
   1109 #define mpz_urandomm __gmpz_urandomm
   1110 __GMP_DECLSPEC void mpz_urandomm (mpz_ptr, gmp_randstate_t, mpz_srcptr);
   1111 
   1112 #define mpz_xor __gmpz_xor
   1113 #define mpz_eor __gmpz_xor
   1114 __GMP_DECLSPEC void mpz_xor (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1115 
   1116 #define mpz_limbs_read __gmpz_limbs_read
   1117 __GMP_DECLSPEC mp_srcptr mpz_limbs_read (mpz_srcptr);
   1118 
   1119 #define mpz_limbs_write __gmpz_limbs_write
   1120 __GMP_DECLSPEC mp_ptr mpz_limbs_write (mpz_ptr, mp_size_t);
   1121 
   1122 #define mpz_limbs_modify __gmpz_limbs_modify
   1123 __GMP_DECLSPEC mp_ptr mpz_limbs_modify (mpz_ptr, mp_size_t);
   1124 
   1125 #define mpz_limbs_finish __gmpz_limbs_finish
   1126 __GMP_DECLSPEC void mpz_limbs_finish (mpz_ptr, mp_size_t);
   1127 
   1128 #define mpz_roinit_n __gmpz_roinit_n
   1129 __GMP_DECLSPEC mpz_srcptr mpz_roinit_n (mpz_ptr, mp_srcptr, mp_size_t);
   1130 
   1131 #define MPZ_ROINIT_N(xp, xs) {{0, (xs),(xp) }}
   1132 
   1133 /**************** Rational (i.e. Q) routines.  ****************/
   1134 
   1135 #define mpq_abs __gmpq_abs
   1136 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_abs)
   1137 __GMP_DECLSPEC void mpq_abs (mpq_ptr, mpq_srcptr);
   1138 #endif
   1139 
   1140 #define mpq_add __gmpq_add
   1141 __GMP_DECLSPEC void mpq_add (mpq_ptr, mpq_srcptr, mpq_srcptr);
   1142 
   1143 #define mpq_canonicalize __gmpq_canonicalize
   1144 __GMP_DECLSPEC void mpq_canonicalize (mpq_ptr);
   1145 
   1146 #define mpq_clear __gmpq_clear
   1147 __GMP_DECLSPEC void mpq_clear (mpq_ptr);
   1148 
   1149 #define mpq_clears __gmpq_clears
   1150 __GMP_DECLSPEC void mpq_clears (mpq_ptr, ...);
   1151 
   1152 #define mpq_cmp __gmpq_cmp
   1153 __GMP_DECLSPEC int mpq_cmp (mpq_srcptr, mpq_srcptr) __GMP_ATTRIBUTE_PURE;
   1154 
   1155 #define _mpq_cmp_si __gmpq_cmp_si
   1156 __GMP_DECLSPEC int _mpq_cmp_si (mpq_srcptr, long, unsigned long) __GMP_ATTRIBUTE_PURE;
   1157 
   1158 #define _mpq_cmp_ui __gmpq_cmp_ui
   1159 __GMP_DECLSPEC int _mpq_cmp_ui (mpq_srcptr, unsigned long int, unsigned long int) __GMP_ATTRIBUTE_PURE;
   1160 
   1161 #define mpq_cmp_z __gmpq_cmp_z
   1162 __GMP_DECLSPEC int mpq_cmp_z (mpq_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
   1163 
   1164 #define mpq_div __gmpq_div
   1165 __GMP_DECLSPEC void mpq_div (mpq_ptr, mpq_srcptr, mpq_srcptr);
   1166 
   1167 #define mpq_div_2exp __gmpq_div_2exp
   1168 __GMP_DECLSPEC void mpq_div_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
   1169 
   1170 #define mpq_equal __gmpq_equal
   1171 __GMP_DECLSPEC int mpq_equal (mpq_srcptr, mpq_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1172 
   1173 #define mpq_get_num __gmpq_get_num
   1174 __GMP_DECLSPEC void mpq_get_num (mpz_ptr, mpq_srcptr);
   1175 
   1176 #define mpq_get_den __gmpq_get_den
   1177 __GMP_DECLSPEC void mpq_get_den (mpz_ptr, mpq_srcptr);
   1178 
   1179 #define mpq_get_d __gmpq_get_d
   1180 __GMP_DECLSPEC double mpq_get_d (mpq_srcptr) __GMP_ATTRIBUTE_PURE;
   1181 
   1182 #define mpq_get_str __gmpq_get_str
   1183 __GMP_DECLSPEC char *mpq_get_str (char *, int, mpq_srcptr);
   1184 
   1185 #define mpq_init __gmpq_init
   1186 __GMP_DECLSPEC void mpq_init (mpq_ptr);
   1187 
   1188 #define mpq_inits __gmpq_inits
   1189 __GMP_DECLSPEC void mpq_inits (mpq_ptr, ...);
   1190 
   1191 #define mpq_inp_str __gmpq_inp_str
   1192 #ifdef _GMP_H_HAVE_FILE
   1193 __GMP_DECLSPEC size_t mpq_inp_str (mpq_ptr, FILE *, int);
   1194 #endif
   1195 
   1196 #define mpq_inv __gmpq_inv
   1197 __GMP_DECLSPEC void mpq_inv (mpq_ptr, mpq_srcptr);
   1198 
   1199 #define mpq_mul __gmpq_mul
   1200 __GMP_DECLSPEC void mpq_mul (mpq_ptr, mpq_srcptr, mpq_srcptr);
   1201 
   1202 #define mpq_mul_2exp __gmpq_mul_2exp
   1203 __GMP_DECLSPEC void mpq_mul_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
   1204 
   1205 #define mpq_neg __gmpq_neg
   1206 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_neg)
   1207 __GMP_DECLSPEC void mpq_neg (mpq_ptr, mpq_srcptr);
   1208 #endif
   1209 
   1210 #define mpq_out_str __gmpq_out_str
   1211 #ifdef _GMP_H_HAVE_FILE
   1212 __GMP_DECLSPEC size_t mpq_out_str (FILE *, int, mpq_srcptr);
   1213 #endif
   1214 
   1215 #define mpq_set __gmpq_set
   1216 __GMP_DECLSPEC void mpq_set (mpq_ptr, mpq_srcptr);
   1217 
   1218 #define mpq_set_d __gmpq_set_d
   1219 __GMP_DECLSPEC void mpq_set_d (mpq_ptr, double);
   1220 
   1221 #define mpq_set_den __gmpq_set_den
   1222 __GMP_DECLSPEC void mpq_set_den (mpq_ptr, mpz_srcptr);
   1223 
   1224 #define mpq_set_f __gmpq_set_f
   1225 __GMP_DECLSPEC void mpq_set_f (mpq_ptr, mpf_srcptr);
   1226 
   1227 #define mpq_set_num __gmpq_set_num
   1228 __GMP_DECLSPEC void mpq_set_num (mpq_ptr, mpz_srcptr);
   1229 
   1230 #define mpq_set_si __gmpq_set_si
   1231 __GMP_DECLSPEC void mpq_set_si (mpq_ptr, signed long int, unsigned long int);
   1232 
   1233 #define mpq_set_str __gmpq_set_str
   1234 __GMP_DECLSPEC int mpq_set_str (mpq_ptr, const char *, int);
   1235 
   1236 #define mpq_set_ui __gmpq_set_ui
   1237 __GMP_DECLSPEC void mpq_set_ui (mpq_ptr, unsigned long int, unsigned long int);
   1238 
   1239 #define mpq_set_z __gmpq_set_z
   1240 __GMP_DECLSPEC void mpq_set_z (mpq_ptr, mpz_srcptr);
   1241 
   1242 #define mpq_sub __gmpq_sub
   1243 __GMP_DECLSPEC void mpq_sub (mpq_ptr, mpq_srcptr, mpq_srcptr);
   1244 
   1245 #define mpq_swap __gmpq_swap
   1246 __GMP_DECLSPEC void mpq_swap (mpq_ptr, mpq_ptr) __GMP_NOTHROW;
   1247 
   1248 
   1249 /**************** Float (i.e. F) routines.  ****************/
   1250 
   1251 #define mpf_abs __gmpf_abs
   1252 __GMP_DECLSPEC void mpf_abs (mpf_ptr, mpf_srcptr);
   1253 
   1254 #define mpf_add __gmpf_add
   1255 __GMP_DECLSPEC void mpf_add (mpf_ptr, mpf_srcptr, mpf_srcptr);
   1256 
   1257 #define mpf_add_ui __gmpf_add_ui
   1258 __GMP_DECLSPEC void mpf_add_ui (mpf_ptr, mpf_srcptr, unsigned long int);
   1259 #define mpf_ceil __gmpf_ceil
   1260 __GMP_DECLSPEC void mpf_ceil (mpf_ptr, mpf_srcptr);
   1261 
   1262 #define mpf_clear __gmpf_clear
   1263 __GMP_DECLSPEC void mpf_clear (mpf_ptr);
   1264 
   1265 #define mpf_clears __gmpf_clears
   1266 __GMP_DECLSPEC void mpf_clears (mpf_ptr, ...);
   1267 
   1268 #define mpf_cmp __gmpf_cmp
   1269 __GMP_DECLSPEC int mpf_cmp (mpf_srcptr, mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1270 
   1271 #define mpf_cmp_z __gmpf_cmp_z
   1272 __GMP_DECLSPEC int mpf_cmp_z (mpf_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1273 
   1274 #define mpf_cmp_d __gmpf_cmp_d
   1275 __GMP_DECLSPEC int mpf_cmp_d (mpf_srcptr, double) __GMP_ATTRIBUTE_PURE;
   1276 
   1277 #define mpf_cmp_si __gmpf_cmp_si
   1278 __GMP_DECLSPEC int mpf_cmp_si (mpf_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1279 
   1280 #define mpf_cmp_ui __gmpf_cmp_ui
   1281 __GMP_DECLSPEC int mpf_cmp_ui (mpf_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1282 
   1283 #define mpf_div __gmpf_div
   1284 __GMP_DECLSPEC void mpf_div (mpf_ptr, mpf_srcptr, mpf_srcptr);
   1285 
   1286 #define mpf_div_2exp __gmpf_div_2exp
   1287 __GMP_DECLSPEC void mpf_div_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
   1288 
   1289 #define mpf_div_ui __gmpf_div_ui
   1290 __GMP_DECLSPEC void mpf_div_ui (mpf_ptr, mpf_srcptr, unsigned long int);
   1291 
   1292 #define mpf_dump __gmpf_dump
   1293 __GMP_DECLSPEC void mpf_dump (mpf_srcptr);
   1294 
   1295 #define mpf_eq __gmpf_eq
   1296 __GMP_DECLSPEC int mpf_eq (mpf_srcptr, mpf_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
   1297 
   1298 #define mpf_fits_sint_p __gmpf_fits_sint_p
   1299 __GMP_DECLSPEC int mpf_fits_sint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1300 
   1301 #define mpf_fits_slong_p __gmpf_fits_slong_p
   1302 __GMP_DECLSPEC int mpf_fits_slong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1303 
   1304 #define mpf_fits_sshort_p __gmpf_fits_sshort_p
   1305 __GMP_DECLSPEC int mpf_fits_sshort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1306 
   1307 #define mpf_fits_uint_p __gmpf_fits_uint_p
   1308 __GMP_DECLSPEC int mpf_fits_uint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1309 
   1310 #define mpf_fits_ulong_p __gmpf_fits_ulong_p
   1311 __GMP_DECLSPEC int mpf_fits_ulong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1312 
   1313 #define mpf_fits_ushort_p __gmpf_fits_ushort_p
   1314 __GMP_DECLSPEC int mpf_fits_ushort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1315 
   1316 #define mpf_floor __gmpf_floor
   1317 __GMP_DECLSPEC void mpf_floor (mpf_ptr, mpf_srcptr);
   1318 
   1319 #define mpf_get_d __gmpf_get_d
   1320 __GMP_DECLSPEC double mpf_get_d (mpf_srcptr) __GMP_ATTRIBUTE_PURE;
   1321 
   1322 #define mpf_get_d_2exp __gmpf_get_d_2exp
   1323 __GMP_DECLSPEC double mpf_get_d_2exp (signed long int *, mpf_srcptr);
   1324 
   1325 #define mpf_get_default_prec __gmpf_get_default_prec
   1326 __GMP_DECLSPEC mp_bitcnt_t mpf_get_default_prec (void) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1327 
   1328 #define mpf_get_prec __gmpf_get_prec
   1329 __GMP_DECLSPEC mp_bitcnt_t mpf_get_prec (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1330 
   1331 #define mpf_get_si __gmpf_get_si
   1332 __GMP_DECLSPEC long mpf_get_si (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1333 
   1334 #define mpf_get_str __gmpf_get_str
   1335 __GMP_DECLSPEC char *mpf_get_str (char *, mp_exp_t *, int, size_t, mpf_srcptr);
   1336 
   1337 #define mpf_get_ui __gmpf_get_ui
   1338 __GMP_DECLSPEC unsigned long mpf_get_ui (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1339 
   1340 #define mpf_init __gmpf_init
   1341 __GMP_DECLSPEC void mpf_init (mpf_ptr);
   1342 
   1343 #define mpf_init2 __gmpf_init2
   1344 __GMP_DECLSPEC void mpf_init2 (mpf_ptr, mp_bitcnt_t);
   1345 
   1346 #define mpf_inits __gmpf_inits
   1347 __GMP_DECLSPEC void mpf_inits (mpf_ptr, ...);
   1348 
   1349 #define mpf_init_set __gmpf_init_set
   1350 __GMP_DECLSPEC void mpf_init_set (mpf_ptr, mpf_srcptr);
   1351 
   1352 #define mpf_init_set_d __gmpf_init_set_d
   1353 __GMP_DECLSPEC void mpf_init_set_d (mpf_ptr, double);
   1354 
   1355 #define mpf_init_set_si __gmpf_init_set_si
   1356 __GMP_DECLSPEC void mpf_init_set_si (mpf_ptr, signed long int);
   1357 
   1358 #define mpf_init_set_str __gmpf_init_set_str
   1359 __GMP_DECLSPEC int mpf_init_set_str (mpf_ptr, const char *, int);
   1360 
   1361 #define mpf_init_set_ui __gmpf_init_set_ui
   1362 __GMP_DECLSPEC void mpf_init_set_ui (mpf_ptr, unsigned long int);
   1363 
   1364 #define mpf_inp_str __gmpf_inp_str
   1365 #ifdef _GMP_H_HAVE_FILE
   1366 __GMP_DECLSPEC size_t mpf_inp_str (mpf_ptr, FILE *, int);
   1367 #endif
   1368 
   1369 #define mpf_integer_p __gmpf_integer_p
   1370 __GMP_DECLSPEC int mpf_integer_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1371 
   1372 #define mpf_mul __gmpf_mul
   1373 __GMP_DECLSPEC void mpf_mul (mpf_ptr, mpf_srcptr, mpf_srcptr);
   1374 
   1375 #define mpf_mul_2exp __gmpf_mul_2exp
   1376 __GMP_DECLSPEC void mpf_mul_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
   1377 
   1378 #define mpf_mul_ui __gmpf_mul_ui
   1379 __GMP_DECLSPEC void mpf_mul_ui (mpf_ptr, mpf_srcptr, unsigned long int);
   1380 
   1381 #define mpf_neg __gmpf_neg
   1382 __GMP_DECLSPEC void mpf_neg (mpf_ptr, mpf_srcptr);
   1383 
   1384 #define mpf_out_str __gmpf_out_str
   1385 #ifdef _GMP_H_HAVE_FILE
   1386 __GMP_DECLSPEC size_t mpf_out_str (FILE *, int, size_t, mpf_srcptr);
   1387 #endif
   1388 
   1389 #define mpf_pow_ui __gmpf_pow_ui
   1390 __GMP_DECLSPEC void mpf_pow_ui (mpf_ptr, mpf_srcptr, unsigned long int);
   1391 
   1392 #define mpf_random2 __gmpf_random2
   1393 __GMP_DECLSPEC void mpf_random2 (mpf_ptr, mp_size_t, mp_exp_t);
   1394 
   1395 #define mpf_reldiff __gmpf_reldiff
   1396 __GMP_DECLSPEC void mpf_reldiff (mpf_ptr, mpf_srcptr, mpf_srcptr);
   1397 
   1398 #define mpf_set __gmpf_set
   1399 __GMP_DECLSPEC void mpf_set (mpf_ptr, mpf_srcptr);
   1400 
   1401 #define mpf_set_d __gmpf_set_d
   1402 __GMP_DECLSPEC void mpf_set_d (mpf_ptr, double);
   1403 
   1404 #define mpf_set_default_prec __gmpf_set_default_prec
   1405 __GMP_DECLSPEC void mpf_set_default_prec (mp_bitcnt_t) __GMP_NOTHROW;
   1406 
   1407 #define mpf_set_prec __gmpf_set_prec
   1408 __GMP_DECLSPEC void mpf_set_prec (mpf_ptr, mp_bitcnt_t);
   1409 
   1410 #define mpf_set_prec_raw __gmpf_set_prec_raw
   1411 __GMP_DECLSPEC void mpf_set_prec_raw (mpf_ptr, mp_bitcnt_t) __GMP_NOTHROW;
   1412 
   1413 #define mpf_set_q __gmpf_set_q
   1414 __GMP_DECLSPEC void mpf_set_q (mpf_ptr, mpq_srcptr);
   1415 
   1416 #define mpf_set_si __gmpf_set_si
   1417 __GMP_DECLSPEC void mpf_set_si (mpf_ptr, signed long int);
   1418 
   1419 #define mpf_set_str __gmpf_set_str
   1420 __GMP_DECLSPEC int mpf_set_str (mpf_ptr, const char *, int);
   1421 
   1422 #define mpf_set_ui __gmpf_set_ui
   1423 __GMP_DECLSPEC void mpf_set_ui (mpf_ptr, unsigned long int);
   1424 
   1425 #define mpf_set_z __gmpf_set_z
   1426 __GMP_DECLSPEC void mpf_set_z (mpf_ptr, mpz_srcptr);
   1427 
   1428 #define mpf_size __gmpf_size
   1429 __GMP_DECLSPEC size_t mpf_size (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1430 
   1431 #define mpf_sqrt __gmpf_sqrt
   1432 __GMP_DECLSPEC void mpf_sqrt (mpf_ptr, mpf_srcptr);
   1433 
   1434 #define mpf_sqrt_ui __gmpf_sqrt_ui
   1435 __GMP_DECLSPEC void mpf_sqrt_ui (mpf_ptr, unsigned long int);
   1436 
   1437 #define mpf_sub __gmpf_sub
   1438 __GMP_DECLSPEC void mpf_sub (mpf_ptr, mpf_srcptr, mpf_srcptr);
   1439 
   1440 #define mpf_sub_ui __gmpf_sub_ui
   1441 __GMP_DECLSPEC void mpf_sub_ui (mpf_ptr, mpf_srcptr, unsigned long int);
   1442 
   1443 #define mpf_swap __gmpf_swap
   1444 __GMP_DECLSPEC void mpf_swap (mpf_ptr, mpf_ptr) __GMP_NOTHROW;
   1445 
   1446 #define mpf_trunc __gmpf_trunc
   1447 __GMP_DECLSPEC void mpf_trunc (mpf_ptr, mpf_srcptr);
   1448 
   1449 #define mpf_ui_div __gmpf_ui_div
   1450 __GMP_DECLSPEC void mpf_ui_div (mpf_ptr, unsigned long int, mpf_srcptr);
   1451 
   1452 #define mpf_ui_sub __gmpf_ui_sub
   1453 __GMP_DECLSPEC void mpf_ui_sub (mpf_ptr, unsigned long int, mpf_srcptr);
   1454 
   1455 #define mpf_urandomb __gmpf_urandomb
   1456 __GMP_DECLSPEC void mpf_urandomb (mpf_t, gmp_randstate_t, mp_bitcnt_t);
   1457 
   1458 
   1459 /************ Low level positive-integer (i.e. N) routines.  ************/
   1460 
   1461 /* This is ugly, but we need to make user calls reach the prefixed function. */
   1462 
   1463 #define mpn_add __MPN(add)
   1464 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add)
   1465 __GMP_DECLSPEC mp_limb_t mpn_add (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
   1466 #endif
   1467 
   1468 #define mpn_add_1 __MPN(add_1)
   1469 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add_1)
   1470 __GMP_DECLSPEC mp_limb_t mpn_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
   1471 #endif
   1472 
   1473 #define mpn_add_n __MPN(add_n)
   1474 __GMP_DECLSPEC mp_limb_t mpn_add_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1475 
   1476 #define mpn_addmul_1 __MPN(addmul_1)
   1477 __GMP_DECLSPEC mp_limb_t mpn_addmul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
   1478 
   1479 #define mpn_cmp __MPN(cmp)
   1480 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_cmp)
   1481 __GMP_DECLSPEC int mpn_cmp (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1482 #endif
   1483 
   1484 #define mpn_zero_p __MPN(zero_p)
   1485 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_zero_p)
   1486 __GMP_DECLSPEC int mpn_zero_p (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1487 #endif
   1488 
   1489 #define mpn_divexact_1 __MPN(divexact_1)
   1490 __GMP_DECLSPEC void mpn_divexact_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
   1491 
   1492 #define mpn_divexact_by3(dst,src,size) \
   1493   mpn_divexact_by3c (dst, src, size, __GMP_CAST (mp_limb_t, 0))
   1494 
   1495 #define mpn_divexact_by3c __MPN(divexact_by3c)
   1496 __GMP_DECLSPEC mp_limb_t mpn_divexact_by3c (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
   1497 
   1498 #define mpn_divmod_1(qp,np,nsize,dlimb) \
   1499   mpn_divrem_1 (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dlimb)
   1500 
   1501 #define mpn_divrem __MPN(divrem)
   1502 __GMP_DECLSPEC mp_limb_t mpn_divrem (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t);
   1503 
   1504 #define mpn_divrem_1 __MPN(divrem_1)
   1505 __GMP_DECLSPEC mp_limb_t mpn_divrem_1 (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t);
   1506 
   1507 #define mpn_divrem_2 __MPN(divrem_2)
   1508 __GMP_DECLSPEC mp_limb_t mpn_divrem_2 (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr);
   1509 
   1510 #define mpn_div_qr_1 __MPN(div_qr_1)
   1511 __GMP_DECLSPEC mp_limb_t mpn_div_qr_1 (mp_ptr, mp_limb_t *, mp_srcptr, mp_size_t, mp_limb_t);
   1512 
   1513 #define mpn_div_qr_2 __MPN(div_qr_2)
   1514 __GMP_DECLSPEC mp_limb_t mpn_div_qr_2 (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
   1515 
   1516 #define mpn_gcd __MPN(gcd)
   1517 __GMP_DECLSPEC mp_size_t mpn_gcd (mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
   1518 
   1519 #define mpn_gcd_11 __MPN(gcd_11)
   1520 __GMP_DECLSPEC mp_limb_t mpn_gcd_11 (mp_limb_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
   1521 
   1522 #define mpn_gcd_1 __MPN(gcd_1)
   1523 __GMP_DECLSPEC mp_limb_t mpn_gcd_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
   1524 
   1525 #define mpn_gcdext_1 __MPN(gcdext_1)
   1526 __GMP_DECLSPEC mp_limb_t mpn_gcdext_1 (mp_limb_signed_t *, mp_limb_signed_t *, mp_limb_t, mp_limb_t);
   1527 
   1528 #define mpn_gcdext __MPN(gcdext)
   1529 __GMP_DECLSPEC mp_size_t mpn_gcdext (mp_ptr, mp_ptr, mp_size_t *, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
   1530 
   1531 #define mpn_get_str __MPN(get_str)
   1532 __GMP_DECLSPEC size_t mpn_get_str (unsigned char *, int, mp_ptr, mp_size_t);
   1533 
   1534 #define mpn_hamdist __MPN(hamdist)
   1535 __GMP_DECLSPEC mp_bitcnt_t mpn_hamdist (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1536 
   1537 #define mpn_lshift __MPN(lshift)
   1538 __GMP_DECLSPEC mp_limb_t mpn_lshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
   1539 
   1540 #define mpn_mod_1 __MPN(mod_1)
   1541 __GMP_DECLSPEC mp_limb_t mpn_mod_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
   1542 
   1543 #define mpn_mul __MPN(mul)
   1544 __GMP_DECLSPEC mp_limb_t mpn_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
   1545 
   1546 #define mpn_mul_1 __MPN(mul_1)
   1547 __GMP_DECLSPEC mp_limb_t mpn_mul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
   1548 
   1549 #define mpn_mul_n __MPN(mul_n)
   1550 __GMP_DECLSPEC void mpn_mul_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1551 
   1552 #define mpn_sqr __MPN(sqr)
   1553 __GMP_DECLSPEC void mpn_sqr (mp_ptr, mp_srcptr, mp_size_t);
   1554 
   1555 #define mpn_neg __MPN(neg)
   1556 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_neg)
   1557 __GMP_DECLSPEC mp_limb_t mpn_neg (mp_ptr, mp_srcptr, mp_size_t);
   1558 #endif
   1559 
   1560 #define mpn_com __MPN(com)
   1561 __GMP_DECLSPEC void mpn_com (mp_ptr, mp_srcptr, mp_size_t);
   1562 
   1563 #define mpn_perfect_square_p __MPN(perfect_square_p)
   1564 __GMP_DECLSPEC int mpn_perfect_square_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
   1565 
   1566 #define mpn_perfect_power_p __MPN(perfect_power_p)
   1567 __GMP_DECLSPEC int mpn_perfect_power_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
   1568 
   1569 #define mpn_popcount __MPN(popcount)
   1570 __GMP_DECLSPEC mp_bitcnt_t mpn_popcount (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1571 
   1572 #define mpn_pow_1 __MPN(pow_1)
   1573 __GMP_DECLSPEC mp_size_t mpn_pow_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
   1574 
   1575 /* undocumented now, but retained here for upward compatibility */
   1576 #define mpn_preinv_mod_1 __MPN(preinv_mod_1)
   1577 __GMP_DECLSPEC mp_limb_t mpn_preinv_mod_1 (mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
   1578 
   1579 #define mpn_random __MPN(random)
   1580 __GMP_DECLSPEC void mpn_random (mp_ptr, mp_size_t);
   1581 
   1582 #define mpn_random2 __MPN(random2)
   1583 __GMP_DECLSPEC void mpn_random2 (mp_ptr, mp_size_t);
   1584 
   1585 #define mpn_rshift __MPN(rshift)
   1586 __GMP_DECLSPEC mp_limb_t mpn_rshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
   1587 
   1588 #define mpn_scan0 __MPN(scan0)
   1589 __GMP_DECLSPEC mp_bitcnt_t mpn_scan0 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
   1590 
   1591 #define mpn_scan1 __MPN(scan1)
   1592 __GMP_DECLSPEC mp_bitcnt_t mpn_scan1 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
   1593 
   1594 #define mpn_set_str __MPN(set_str)
   1595 __GMP_DECLSPEC mp_size_t mpn_set_str (mp_ptr, const unsigned char *, size_t, int);
   1596 
   1597 #define mpn_sizeinbase __MPN(sizeinbase)
   1598 __GMP_DECLSPEC size_t mpn_sizeinbase (mp_srcptr, mp_size_t, int);
   1599 
   1600 #define mpn_sqrtrem __MPN(sqrtrem)
   1601 __GMP_DECLSPEC mp_size_t mpn_sqrtrem (mp_ptr, mp_ptr, mp_srcptr, mp_size_t);
   1602 
   1603 #define mpn_sub __MPN(sub)
   1604 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub)
   1605 __GMP_DECLSPEC mp_limb_t mpn_sub (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
   1606 #endif
   1607 
   1608 #define mpn_sub_1 __MPN(sub_1)
   1609 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub_1)
   1610 __GMP_DECLSPEC mp_limb_t mpn_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
   1611 #endif
   1612 
   1613 #define mpn_sub_n __MPN(sub_n)
   1614 __GMP_DECLSPEC mp_limb_t mpn_sub_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1615 
   1616 #define mpn_submul_1 __MPN(submul_1)
   1617 __GMP_DECLSPEC mp_limb_t mpn_submul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
   1618 
   1619 #define mpn_tdiv_qr __MPN(tdiv_qr)
   1620 __GMP_DECLSPEC void mpn_tdiv_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
   1621 
   1622 #define mpn_and_n __MPN(and_n)
   1623 __GMP_DECLSPEC void mpn_and_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1624 #define mpn_andn_n __MPN(andn_n)
   1625 __GMP_DECLSPEC void mpn_andn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1626 #define mpn_nand_n __MPN(nand_n)
   1627 __GMP_DECLSPEC void mpn_nand_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1628 #define mpn_ior_n __MPN(ior_n)
   1629 __GMP_DECLSPEC void mpn_ior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1630 #define mpn_iorn_n __MPN(iorn_n)
   1631 __GMP_DECLSPEC void mpn_iorn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1632 #define mpn_nior_n __MPN(nior_n)
   1633 __GMP_DECLSPEC void mpn_nior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1634 #define mpn_xor_n __MPN(xor_n)
   1635 __GMP_DECLSPEC void mpn_xor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1636 #define mpn_xnor_n __MPN(xnor_n)
   1637 __GMP_DECLSPEC void mpn_xnor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1638 
   1639 #define mpn_copyi __MPN(copyi)
   1640 __GMP_DECLSPEC void mpn_copyi (mp_ptr, mp_srcptr, mp_size_t);
   1641 #define mpn_copyd __MPN(copyd)
   1642 __GMP_DECLSPEC void mpn_copyd (mp_ptr, mp_srcptr, mp_size_t);
   1643 #define mpn_zero __MPN(zero)
   1644 __GMP_DECLSPEC void mpn_zero (mp_ptr, mp_size_t);
   1645 
   1646 #define mpn_cnd_add_n __MPN(cnd_add_n)
   1647 __GMP_DECLSPEC mp_limb_t mpn_cnd_add_n (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1648 #define mpn_cnd_sub_n __MPN(cnd_sub_n)
   1649 __GMP_DECLSPEC mp_limb_t mpn_cnd_sub_n (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1650 
   1651 #define mpn_sec_add_1 __MPN(sec_add_1)
   1652 __GMP_DECLSPEC mp_limb_t mpn_sec_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
   1653 #define mpn_sec_add_1_itch __MPN(sec_add_1_itch)
   1654 __GMP_DECLSPEC mp_size_t mpn_sec_add_1_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
   1655 
   1656 #define mpn_sec_sub_1 __MPN(sec_sub_1)
   1657 __GMP_DECLSPEC mp_limb_t mpn_sec_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
   1658 #define mpn_sec_sub_1_itch __MPN(sec_sub_1_itch)
   1659 __GMP_DECLSPEC mp_size_t mpn_sec_sub_1_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
   1660 
   1661 #define mpn_cnd_swap  __MPN(cnd_swap)
   1662 __GMP_DECLSPEC void mpn_cnd_swap (mp_limb_t, volatile mp_limb_t *, volatile mp_limb_t *, mp_size_t);
   1663 
   1664 #define mpn_sec_mul __MPN(sec_mul)
   1665 __GMP_DECLSPEC void mpn_sec_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
   1666 #define mpn_sec_mul_itch __MPN(sec_mul_itch)
   1667 __GMP_DECLSPEC mp_size_t mpn_sec_mul_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
   1668 
   1669 #define mpn_sec_sqr __MPN(sec_sqr)
   1670 __GMP_DECLSPEC void mpn_sec_sqr (mp_ptr, mp_srcptr, mp_size_t, mp_ptr);
   1671 #define mpn_sec_sqr_itch __MPN(sec_sqr_itch)
   1672 __GMP_DECLSPEC mp_size_t mpn_sec_sqr_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
   1673 
   1674 #define mpn_sec_powm __MPN(sec_powm)
   1675 __GMP_DECLSPEC void mpn_sec_powm (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_bitcnt_t, mp_srcptr, mp_size_t, mp_ptr);
   1676 #define mpn_sec_powm_itch __MPN(sec_powm_itch)
   1677 __GMP_DECLSPEC mp_size_t mpn_sec_powm_itch (mp_size_t, mp_bitcnt_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
   1678 
   1679 #define mpn_sec_tabselect __MPN(sec_tabselect)
   1680 __GMP_DECLSPEC void mpn_sec_tabselect (volatile mp_limb_t *, volatile const mp_limb_t *, mp_size_t, mp_size_t, mp_size_t);
   1681 
   1682 #define mpn_sec_div_qr __MPN(sec_div_qr)
   1683 __GMP_DECLSPEC mp_limb_t mpn_sec_div_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
   1684 #define mpn_sec_div_qr_itch __MPN(sec_div_qr_itch)
   1685 __GMP_DECLSPEC mp_size_t mpn_sec_div_qr_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
   1686 #define mpn_sec_div_r __MPN(sec_div_r)
   1687 __GMP_DECLSPEC void mpn_sec_div_r (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
   1688 #define mpn_sec_div_r_itch __MPN(sec_div_r_itch)
   1689 __GMP_DECLSPEC mp_size_t mpn_sec_div_r_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
   1690 
   1691 #define mpn_sec_invert __MPN(sec_invert)
   1692 __GMP_DECLSPEC int mpn_sec_invert (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_bitcnt_t, mp_ptr);
   1693 #define mpn_sec_invert_itch __MPN(sec_invert_itch)
   1694 __GMP_DECLSPEC mp_size_t mpn_sec_invert_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
   1695 
   1696 
   1697 /**************** mpz inlines ****************/
   1698 
   1699 /* The following are provided as inlines where possible, but always exist as
   1700    library functions too, for binary compatibility.
   1701 
   1702    Within gmp itself this inlining generally isn't relied on, since it
   1703    doesn't get done for all compilers, whereas if something is worth
   1704    inlining then it's worth arranging always.
   1705 
   1706    There are two styles of inlining here.  When the same bit of code is
   1707    wanted for the inline as for the library version, then __GMP_FORCE_foo
   1708    arranges for that code to be emitted and the __GMP_EXTERN_INLINE
   1709    directive suppressed, eg. mpz_fits_uint_p.  When a different bit of code
   1710    is wanted for the inline than for the library version, then
   1711    __GMP_FORCE_foo arranges the inline to be suppressed, eg. mpz_abs.  */
   1712 
   1713 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_abs)
   1714 __GMP_EXTERN_INLINE void
   1715 mpz_abs (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
   1716 {
   1717   if (__gmp_w != __gmp_u)
   1718     mpz_set (__gmp_w, __gmp_u);
   1719   __gmp_w->_mp_size = __GMP_ABS (__gmp_w->_mp_size);
   1720 }
   1721 #endif
   1722 
   1723 #if GMP_NAIL_BITS == 0
   1724 #define __GMPZ_FITS_UTYPE_P(z,maxval)					\
   1725   mp_size_t  __gmp_n = z->_mp_size;					\
   1726   mp_ptr  __gmp_p = z->_mp_d;						\
   1727   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval));
   1728 #else
   1729 #define __GMPZ_FITS_UTYPE_P(z,maxval)					\
   1730   mp_size_t  __gmp_n = z->_mp_size;					\
   1731   mp_ptr  __gmp_p = z->_mp_d;						\
   1732   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval)	\
   1733 	  || (__gmp_n == 2 && __gmp_p[1] <= ((mp_limb_t) maxval >> GMP_NUMB_BITS)));
   1734 #endif
   1735 
   1736 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_uint_p)
   1737 #if ! defined (__GMP_FORCE_mpz_fits_uint_p)
   1738 __GMP_EXTERN_INLINE
   1739 #endif
   1740 int
   1741 mpz_fits_uint_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
   1742 {
   1743   __GMPZ_FITS_UTYPE_P (__gmp_z, UINT_MAX);
   1744 }
   1745 #endif
   1746 
   1747 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ulong_p)
   1748 #if ! defined (__GMP_FORCE_mpz_fits_ulong_p)
   1749 __GMP_EXTERN_INLINE
   1750 #endif
   1751 int
   1752 mpz_fits_ulong_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
   1753 {
   1754   __GMPZ_FITS_UTYPE_P (__gmp_z, ULONG_MAX);
   1755 }
   1756 #endif
   1757 
   1758 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ushort_p)
   1759 #if ! defined (__GMP_FORCE_mpz_fits_ushort_p)
   1760 __GMP_EXTERN_INLINE
   1761 #endif
   1762 int
   1763 mpz_fits_ushort_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
   1764 {
   1765   __GMPZ_FITS_UTYPE_P (__gmp_z, USHRT_MAX);
   1766 }
   1767 #endif
   1768 
   1769 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_get_ui)
   1770 #if ! defined (__GMP_FORCE_mpz_get_ui)
   1771 __GMP_EXTERN_INLINE
   1772 #endif
   1773 unsigned long
   1774 mpz_get_ui (mpz_srcptr __gmp_z) __GMP_NOTHROW
   1775 {
   1776   mp_ptr __gmp_p = __gmp_z->_mp_d;
   1777   mp_size_t __gmp_n = __gmp_z->_mp_size;
   1778   mp_limb_t __gmp_l = __gmp_p[0];
   1779   /* This is a "#if" rather than a plain "if" so as to avoid gcc warnings
   1780      about "<< GMP_NUMB_BITS" exceeding the type size, and to avoid Borland
   1781      C++ 6.0 warnings about condition always true for something like
   1782      "ULONG_MAX < GMP_NUMB_MASK".  */
   1783 #if GMP_NAIL_BITS == 0 || defined (_LONG_LONG_LIMB)
   1784   /* limb==long and no nails, or limb==longlong, one limb is enough */
   1785   return (__gmp_n != 0 ? __gmp_l : 0);
   1786 #else
   1787   /* limb==long and nails, need two limbs when available */
   1788   __gmp_n = __GMP_ABS (__gmp_n);
   1789   if (__gmp_n <= 1)
   1790     return (__gmp_n != 0 ? __gmp_l : 0);
   1791   else
   1792     return __gmp_l + (__gmp_p[1] << GMP_NUMB_BITS);
   1793 #endif
   1794 }
   1795 #endif
   1796 
   1797 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_getlimbn)
   1798 #if ! defined (__GMP_FORCE_mpz_getlimbn)
   1799 __GMP_EXTERN_INLINE
   1800 #endif
   1801 mp_limb_t
   1802 mpz_getlimbn (mpz_srcptr __gmp_z, mp_size_t __gmp_n) __GMP_NOTHROW
   1803 {
   1804   mp_limb_t  __gmp_result = 0;
   1805   if (__GMP_LIKELY (__gmp_n >= 0 && __gmp_n < __GMP_ABS (__gmp_z->_mp_size)))
   1806     __gmp_result = __gmp_z->_mp_d[__gmp_n];
   1807   return __gmp_result;
   1808 }
   1809 #endif
   1810 
   1811 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_neg)
   1812 __GMP_EXTERN_INLINE void
   1813 mpz_neg (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
   1814 {
   1815   if (__gmp_w != __gmp_u)
   1816     mpz_set (__gmp_w, __gmp_u);
   1817   __gmp_w->_mp_size = - __gmp_w->_mp_size;
   1818 }
   1819 #endif
   1820 
   1821 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_perfect_square_p)
   1822 #if ! defined (__GMP_FORCE_mpz_perfect_square_p)
   1823 __GMP_EXTERN_INLINE
   1824 #endif
   1825 int
   1826 mpz_perfect_square_p (mpz_srcptr __gmp_a)
   1827 {
   1828   mp_size_t __gmp_asize;
   1829   int       __gmp_result;
   1830 
   1831   __gmp_asize = __gmp_a->_mp_size;
   1832   __gmp_result = (__gmp_asize >= 0);  /* zero is a square, negatives are not */
   1833   if (__GMP_LIKELY (__gmp_asize > 0))
   1834     __gmp_result = mpn_perfect_square_p (__gmp_a->_mp_d, __gmp_asize);
   1835   return __gmp_result;
   1836 }
   1837 #endif
   1838 
   1839 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_popcount)
   1840 #if ! defined (__GMP_FORCE_mpz_popcount)
   1841 __GMP_EXTERN_INLINE
   1842 #endif
   1843 mp_bitcnt_t
   1844 mpz_popcount (mpz_srcptr __gmp_u) __GMP_NOTHROW
   1845 {
   1846   mp_size_t      __gmp_usize;
   1847   mp_bitcnt_t    __gmp_result;
   1848 
   1849   __gmp_usize = __gmp_u->_mp_size;
   1850   __gmp_result = (__gmp_usize < 0 ? ~ __GMP_CAST (mp_bitcnt_t, 0) : __GMP_CAST (mp_bitcnt_t, 0));
   1851   if (__GMP_LIKELY (__gmp_usize > 0))
   1852     __gmp_result =  mpn_popcount (__gmp_u->_mp_d, __gmp_usize);
   1853   return __gmp_result;
   1854 }
   1855 #endif
   1856 
   1857 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_set_q)
   1858 #if ! defined (__GMP_FORCE_mpz_set_q)
   1859 __GMP_EXTERN_INLINE
   1860 #endif
   1861 void
   1862 mpz_set_q (mpz_ptr __gmp_w, mpq_srcptr __gmp_u)
   1863 {
   1864   mpz_tdiv_q (__gmp_w, mpq_numref (__gmp_u), mpq_denref (__gmp_u));
   1865 }
   1866 #endif
   1867 
   1868 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_size)
   1869 #if ! defined (__GMP_FORCE_mpz_size)
   1870 __GMP_EXTERN_INLINE
   1871 #endif
   1872 size_t
   1873 mpz_size (mpz_srcptr __gmp_z) __GMP_NOTHROW
   1874 {
   1875   return __GMP_ABS (__gmp_z->_mp_size);
   1876 }
   1877 #endif
   1878 
   1879 
   1880 /**************** mpq inlines ****************/
   1881 
   1882 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_abs)
   1883 __GMP_EXTERN_INLINE void
   1884 mpq_abs (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
   1885 {
   1886   if (__gmp_w != __gmp_u)
   1887     mpq_set (__gmp_w, __gmp_u);
   1888   __gmp_w->_mp_num._mp_size = __GMP_ABS (__gmp_w->_mp_num._mp_size);
   1889 }
   1890 #endif
   1891 
   1892 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_neg)
   1893 __GMP_EXTERN_INLINE void
   1894 mpq_neg (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
   1895 {
   1896   if (__gmp_w != __gmp_u)
   1897     mpq_set (__gmp_w, __gmp_u);
   1898   __gmp_w->_mp_num._mp_size = - __gmp_w->_mp_num._mp_size;
   1899 }
   1900 #endif
   1901 
   1902 
   1903 /**************** mpn inlines ****************/
   1904 
   1905 /* The comments with __GMPN_ADD_1 below apply here too.
   1906 
   1907    The test for FUNCTION returning 0 should predict well.  If it's assumed
   1908    {yp,ysize} will usually have a random number of bits then the high limb
   1909    won't be full and a carry out will occur a good deal less than 50% of the
   1910    time.
   1911 
   1912    ysize==0 isn't a documented feature, but is used internally in a few
   1913    places.
   1914 
   1915    Producing cout last stops it using up a register during the main part of
   1916    the calculation, though gcc (as of 3.0) on an "if (mpn_add (...))"
   1917    doesn't seem able to move the true and false legs of the conditional up
   1918    to the two places cout is generated.  */
   1919 
   1920 #define __GMPN_AORS(cout, wp, xp, xsize, yp, ysize, FUNCTION, TEST)     \
   1921   do {                                                                  \
   1922     mp_size_t  __gmp_i;                                                 \
   1923     mp_limb_t  __gmp_x;                                                 \
   1924                                                                         \
   1925     /* ASSERT ((ysize) >= 0); */                                        \
   1926     /* ASSERT ((xsize) >= (ysize)); */                                  \
   1927     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, xp, xsize)); */      \
   1928     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, yp, ysize)); */      \
   1929                                                                         \
   1930     __gmp_i = (ysize);                                                  \
   1931     if (__gmp_i != 0)                                                   \
   1932       {                                                                 \
   1933         if (FUNCTION (wp, xp, yp, __gmp_i))                             \
   1934           {                                                             \
   1935             do                                                          \
   1936               {                                                         \
   1937                 if (__gmp_i >= (xsize))                                 \
   1938                   {                                                     \
   1939                     (cout) = 1;                                         \
   1940                     goto __gmp_done;                                    \
   1941                   }                                                     \
   1942                 __gmp_x = (xp)[__gmp_i];                                \
   1943               }                                                         \
   1944             while (TEST);                                               \
   1945           }                                                             \
   1946       }                                                                 \
   1947     if ((wp) != (xp))                                                   \
   1948       __GMPN_COPY_REST (wp, xp, xsize, __gmp_i);                        \
   1949     (cout) = 0;                                                         \
   1950   __gmp_done:                                                           \
   1951     ;                                                                   \
   1952   } while (0)
   1953 
   1954 #define __GMPN_ADD(cout, wp, xp, xsize, yp, ysize)              \
   1955   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_add_n,       \
   1956                (((wp)[__gmp_i++] = (__gmp_x + 1) & GMP_NUMB_MASK) == 0))
   1957 #define __GMPN_SUB(cout, wp, xp, xsize, yp, ysize)              \
   1958   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_sub_n,       \
   1959                (((wp)[__gmp_i++] = (__gmp_x - 1) & GMP_NUMB_MASK), __gmp_x == 0))
   1960 
   1961 
   1962 /* The use of __gmp_i indexing is designed to ensure a compile time src==dst
   1963    remains nice and clear to the compiler, so that __GMPN_COPY_REST can
   1964    disappear, and the load/add/store gets a chance to become a
   1965    read-modify-write on CISC CPUs.
   1966 
   1967    Alternatives:
   1968 
   1969    Using a pair of pointers instead of indexing would be possible, but gcc
   1970    isn't able to recognise compile-time src==dst in that case, even when the
   1971    pointers are incremented more or less together.  Other compilers would
   1972    very likely have similar difficulty.
   1973 
   1974    gcc could use "if (__builtin_constant_p(src==dst) && src==dst)" or
   1975    similar to detect a compile-time src==dst.  This works nicely on gcc
   1976    2.95.x, it's not good on gcc 3.0 where __builtin_constant_p(p==p) seems
   1977    to be always false, for a pointer p.  But the current code form seems
   1978    good enough for src==dst anyway.
   1979 
   1980    gcc on x86 as usual doesn't give particularly good flags handling for the
   1981    carry/borrow detection.  It's tempting to want some multi instruction asm
   1982    blocks to help it, and this was tried, but in truth there's only a few
   1983    instructions to save and any gain is all too easily lost by register
   1984    juggling setting up for the asm.  */
   1985 
   1986 #if GMP_NAIL_BITS == 0
   1987 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
   1988   do {								\
   1989     mp_size_t  __gmp_i;						\
   1990     mp_limb_t  __gmp_x, __gmp_r;                                \
   1991 								\
   1992     /* ASSERT ((n) >= 1); */					\
   1993     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
   1994 								\
   1995     __gmp_x = (src)[0];						\
   1996     __gmp_r = __gmp_x OP (v);                                   \
   1997     (dst)[0] = __gmp_r;						\
   1998     if (CB (__gmp_r, __gmp_x, (v)))                             \
   1999       {								\
   2000 	(cout) = 1;						\
   2001 	for (__gmp_i = 1; __gmp_i < (n);)                       \
   2002 	  {							\
   2003 	    __gmp_x = (src)[__gmp_i];                           \
   2004 	    __gmp_r = __gmp_x OP 1;                             \
   2005 	    (dst)[__gmp_i] = __gmp_r;                           \
   2006 	    ++__gmp_i;						\
   2007 	    if (!CB (__gmp_r, __gmp_x, 1))                      \
   2008 	      {							\
   2009 		if ((src) != (dst))				\
   2010 		  __GMPN_COPY_REST (dst, src, n, __gmp_i);      \
   2011 		(cout) = 0;					\
   2012 		break;						\
   2013 	      }							\
   2014 	  }							\
   2015       }								\
   2016     else							\
   2017       {								\
   2018 	if ((src) != (dst))					\
   2019 	  __GMPN_COPY_REST (dst, src, n, 1);			\
   2020 	(cout) = 0;						\
   2021       }								\
   2022   } while (0)
   2023 #endif
   2024 
   2025 #if GMP_NAIL_BITS >= 1
   2026 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
   2027   do {								\
   2028     mp_size_t  __gmp_i;						\
   2029     mp_limb_t  __gmp_x, __gmp_r;				\
   2030 								\
   2031     /* ASSERT ((n) >= 1); */					\
   2032     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
   2033 								\
   2034     __gmp_x = (src)[0];						\
   2035     __gmp_r = __gmp_x OP (v);					\
   2036     (dst)[0] = __gmp_r & GMP_NUMB_MASK;				\
   2037     if (__gmp_r >> GMP_NUMB_BITS != 0)				\
   2038       {								\
   2039 	(cout) = 1;						\
   2040 	for (__gmp_i = 1; __gmp_i < (n);)			\
   2041 	  {							\
   2042 	    __gmp_x = (src)[__gmp_i];				\
   2043 	    __gmp_r = __gmp_x OP 1;				\
   2044 	    (dst)[__gmp_i] = __gmp_r & GMP_NUMB_MASK;		\
   2045 	    ++__gmp_i;						\
   2046 	    if (__gmp_r >> GMP_NUMB_BITS == 0)			\
   2047 	      {							\
   2048 		if ((src) != (dst))				\
   2049 		  __GMPN_COPY_REST (dst, src, n, __gmp_i);	\
   2050 		(cout) = 0;					\
   2051 		break;						\
   2052 	      }							\
   2053 	  }							\
   2054       }								\
   2055     else							\
   2056       {								\
   2057 	if ((src) != (dst))					\
   2058 	  __GMPN_COPY_REST (dst, src, n, 1);			\
   2059 	(cout) = 0;						\
   2060       }								\
   2061   } while (0)
   2062 #endif
   2063 
   2064 #define __GMPN_ADDCB(r,x,y) ((r) < (y))
   2065 #define __GMPN_SUBCB(r,x,y) ((x) < (y))
   2066 
   2067 #define __GMPN_ADD_1(cout, dst, src, n, v)	     \
   2068   __GMPN_AORS_1(cout, dst, src, n, v, +, __GMPN_ADDCB)
   2069 #define __GMPN_SUB_1(cout, dst, src, n, v)	     \
   2070   __GMPN_AORS_1(cout, dst, src, n, v, -, __GMPN_SUBCB)
   2071 
   2072 
   2073 /* Compare {xp,size} and {yp,size}, setting "result" to positive, zero or
   2074    negative.  size==0 is allowed.  On random data usually only one limb will
   2075    need to be examined to get a result, so it's worth having it inline.  */
   2076 #define __GMPN_CMP(result, xp, yp, size)                                \
   2077   do {                                                                  \
   2078     mp_size_t  __gmp_i;                                                 \
   2079     mp_limb_t  __gmp_x, __gmp_y;                                        \
   2080                                                                         \
   2081     /* ASSERT ((size) >= 0); */                                         \
   2082                                                                         \
   2083     (result) = 0;                                                       \
   2084     __gmp_i = (size);                                                   \
   2085     while (--__gmp_i >= 0)                                              \
   2086       {                                                                 \
   2087         __gmp_x = (xp)[__gmp_i];                                        \
   2088         __gmp_y = (yp)[__gmp_i];                                        \
   2089         if (__gmp_x != __gmp_y)                                         \
   2090           {                                                             \
   2091             /* Cannot use __gmp_x - __gmp_y, may overflow an "int" */   \
   2092             (result) = (__gmp_x > __gmp_y ? 1 : -1);                    \
   2093             break;                                                      \
   2094           }                                                             \
   2095       }                                                                 \
   2096   } while (0)
   2097 
   2098 
   2099 #if defined (__GMPN_COPY) && ! defined (__GMPN_COPY_REST)
   2100 #define __GMPN_COPY_REST(dst, src, size, start)                 \
   2101   do {                                                          \
   2102     /* ASSERT ((start) >= 0); */                                \
   2103     /* ASSERT ((start) <= (size)); */                           \
   2104     __GMPN_COPY ((dst)+(start), (src)+(start), (size)-(start)); \
   2105   } while (0)
   2106 #endif
   2107 
   2108 /* Copy {src,size} to {dst,size}, starting at "start".  This is designed to
   2109    keep the indexing dst[j] and src[j] nice and simple for __GMPN_ADD_1,
   2110    __GMPN_ADD, etc.  */
   2111 #if ! defined (__GMPN_COPY_REST)
   2112 #define __GMPN_COPY_REST(dst, src, size, start)                 \
   2113   do {                                                          \
   2114     mp_size_t __gmp_j;                                          \
   2115     /* ASSERT ((size) >= 0); */                                 \
   2116     /* ASSERT ((start) >= 0); */                                \
   2117     /* ASSERT ((start) <= (size)); */                           \
   2118     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */     \
   2119     __GMP_CRAY_Pragma ("_CRI ivdep");                           \
   2120     for (__gmp_j = (start); __gmp_j < (size); __gmp_j++)        \
   2121       (dst)[__gmp_j] = (src)[__gmp_j];                          \
   2122   } while (0)
   2123 #endif
   2124 
   2125 /* Enhancement: Use some of the smarter code from gmp-impl.h.  Maybe use
   2126    mpn_copyi if there's a native version, and if we don't mind demanding
   2127    binary compatibility for it (on targets which use it).  */
   2128 
   2129 #if ! defined (__GMPN_COPY)
   2130 #define __GMPN_COPY(dst, src, size)   __GMPN_COPY_REST (dst, src, size, 0)
   2131 #endif
   2132 
   2133 
   2134 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add)
   2135 #if ! defined (__GMP_FORCE_mpn_add)
   2136 __GMP_EXTERN_INLINE
   2137 #endif
   2138 mp_limb_t
   2139 mpn_add (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
   2140 {
   2141   mp_limb_t  __gmp_c;
   2142   __GMPN_ADD (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
   2143   return __gmp_c;
   2144 }
   2145 #endif
   2146 
   2147 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add_1)
   2148 #if ! defined (__GMP_FORCE_mpn_add_1)
   2149 __GMP_EXTERN_INLINE
   2150 #endif
   2151 mp_limb_t
   2152 mpn_add_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
   2153 {
   2154   mp_limb_t  __gmp_c;
   2155   __GMPN_ADD_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
   2156   return __gmp_c;
   2157 }
   2158 #endif
   2159 
   2160 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_cmp)
   2161 #if ! defined (__GMP_FORCE_mpn_cmp)
   2162 __GMP_EXTERN_INLINE
   2163 #endif
   2164 int
   2165 mpn_cmp (mp_srcptr __gmp_xp, mp_srcptr __gmp_yp, mp_size_t __gmp_size) __GMP_NOTHROW
   2166 {
   2167   int __gmp_result;
   2168   __GMPN_CMP (__gmp_result, __gmp_xp, __gmp_yp, __gmp_size);
   2169   return __gmp_result;
   2170 }
   2171 #endif
   2172 
   2173 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_zero_p)
   2174 #if ! defined (__GMP_FORCE_mpn_zero_p)
   2175 __GMP_EXTERN_INLINE
   2176 #endif
   2177 int
   2178 mpn_zero_p (mp_srcptr __gmp_p, mp_size_t __gmp_n) __GMP_NOTHROW
   2179 {
   2180   /* if (__GMP_LIKELY (__gmp_n > 0)) */
   2181     do {
   2182       if (__gmp_p[--__gmp_n] != 0)
   2183 	return 0;
   2184     } while (__gmp_n != 0);
   2185   return 1;
   2186 }
   2187 #endif
   2188 
   2189 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub)
   2190 #if ! defined (__GMP_FORCE_mpn_sub)
   2191 __GMP_EXTERN_INLINE
   2192 #endif
   2193 mp_limb_t
   2194 mpn_sub (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
   2195 {
   2196   mp_limb_t  __gmp_c;
   2197   __GMPN_SUB (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
   2198   return __gmp_c;
   2199 }
   2200 #endif
   2201 
   2202 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub_1)
   2203 #if ! defined (__GMP_FORCE_mpn_sub_1)
   2204 __GMP_EXTERN_INLINE
   2205 #endif
   2206 mp_limb_t
   2207 mpn_sub_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
   2208 {
   2209   mp_limb_t  __gmp_c;
   2210   __GMPN_SUB_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
   2211   return __gmp_c;
   2212 }
   2213 #endif
   2214 
   2215 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_neg)
   2216 #if ! defined (__GMP_FORCE_mpn_neg)
   2217 __GMP_EXTERN_INLINE
   2218 #endif
   2219 mp_limb_t
   2220 mpn_neg (mp_ptr __gmp_rp, mp_srcptr __gmp_up, mp_size_t __gmp_n)
   2221 {
   2222   while (*__gmp_up == 0) /* Low zero limbs are unchanged by negation. */
   2223     {
   2224       *__gmp_rp = 0;
   2225       if (!--__gmp_n) /* All zero */
   2226 	return 0;
   2227       ++__gmp_up; ++__gmp_rp;
   2228     }
   2229 
   2230   *__gmp_rp = (- *__gmp_up) & GMP_NUMB_MASK;
   2231 
   2232   if (--__gmp_n) /* Higher limbs get complemented. */
   2233     mpn_com (++__gmp_rp, ++__gmp_up, __gmp_n);
   2234 
   2235   return 1;
   2236 }
   2237 #endif
   2238 
   2239 #if defined (__cplusplus)
   2240 }
   2241 #endif
   2242 
   2243 
   2244 /* Allow faster testing for negative, zero, and positive.  */
   2245 #define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0)
   2246 #define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0)
   2247 #define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0)
   2248 
   2249 /* When using GCC, optimize certain common comparisons.  */
   2250 #if defined (__GNUC__) && __GNUC__ >= 2
   2251 #define mpz_cmp_ui(Z,UI) \
   2252   (__builtin_constant_p (UI) && (UI) == 0				\
   2253    ? mpz_sgn (Z) : _mpz_cmp_ui (Z,UI))
   2254 #define mpz_cmp_si(Z,SI)						\
   2255   (__builtin_constant_p ((SI) >= 0) && (SI) >= 0			\
   2256    ? mpz_cmp_ui (Z, __GMP_CAST (unsigned long, SI))			\
   2257    : _mpz_cmp_si (Z,SI))
   2258 #define mpq_cmp_ui(Q,NUI,DUI)					\
   2259   (__builtin_constant_p (NUI) && (NUI) == 0 ? mpq_sgn (Q)	\
   2260    : __builtin_constant_p ((NUI) == (DUI)) && (NUI) == (DUI)	\
   2261    ? mpz_cmp (mpq_numref (Q), mpq_denref (Q))			\
   2262    : _mpq_cmp_ui (Q,NUI,DUI))
   2263 #define mpq_cmp_si(q,n,d)				\
   2264   (__builtin_constant_p ((n) >= 0) && (n) >= 0		\
   2265    ? mpq_cmp_ui (q, __GMP_CAST (unsigned long, n), d)	\
   2266    : _mpq_cmp_si (q, n, d))
   2267 #else
   2268 #define mpz_cmp_ui(Z,UI) _mpz_cmp_ui (Z,UI)
   2269 #define mpz_cmp_si(Z,UI) _mpz_cmp_si (Z,UI)
   2270 #define mpq_cmp_ui(Q,NUI,DUI) _mpq_cmp_ui (Q,NUI,DUI)
   2271 #define mpq_cmp_si(q,n,d)  _mpq_cmp_si(q,n,d)
   2272 #endif
   2273 
   2274 
   2275 /* Using "&" rather than "&&" means these can come out branch-free.  Every
   2276    mpz_t has at least one limb allocated, so fetching the low limb is always
   2277    allowed.  */
   2278 #define mpz_odd_p(z)   (((z)->_mp_size != 0) & __GMP_CAST (int, (z)->_mp_d[0]))
   2279 #define mpz_even_p(z)  (! mpz_odd_p (z))
   2280 
   2281 
   2282 /**************** C++ routines ****************/
   2283 
   2284 #ifdef __cplusplus
   2285 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpz_srcptr);
   2286 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpq_srcptr);
   2287 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpf_srcptr);
   2288 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpz_ptr);
   2289 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpq_ptr);
   2290 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpf_ptr);
   2291 #endif
   2292 
   2293 
   2294 /* Source-level compatibility with GMP 2 and earlier. */
   2295 #define mpn_divmod(qp,np,nsize,dp,dsize) \
   2296   mpn_divrem (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dp, dsize)
   2297 
   2298 /* Source-level compatibility with GMP 1.  */
   2299 #define mpz_mdiv	mpz_fdiv_q
   2300 #define mpz_mdivmod	mpz_fdiv_qr
   2301 #define mpz_mmod	mpz_fdiv_r
   2302 #define mpz_mdiv_ui	mpz_fdiv_q_ui
   2303 #define mpz_mdivmod_ui(q,r,n,d) \
   2304   (((r) == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d))
   2305 #define mpz_mmod_ui(r,n,d) \
   2306   (((r) == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d))
   2307 
   2308 /* Useful synonyms, but not quite compatible with GMP 1.  */
   2309 #define mpz_div		mpz_fdiv_q
   2310 #define mpz_divmod	mpz_fdiv_qr
   2311 #define mpz_div_ui	mpz_fdiv_q_ui
   2312 #define mpz_divmod_ui	mpz_fdiv_qr_ui
   2313 #define mpz_div_2exp	mpz_fdiv_q_2exp
   2314 #define mpz_mod_2exp	mpz_fdiv_r_2exp
   2315 
   2316 enum
   2317 {
   2318   GMP_ERROR_NONE = 0,
   2319   GMP_ERROR_UNSUPPORTED_ARGUMENT = 1,
   2320   GMP_ERROR_DIVISION_BY_ZERO = 2,
   2321   GMP_ERROR_SQRT_OF_NEGATIVE = 4,
   2322   GMP_ERROR_INVALID_ARGUMENT = 8
   2323 };
   2324 
   2325 /* Define CC and CFLAGS which were used to build this version of GMP */
   2326 #define __GMP_CC "/home/cody/Android/Sdk/ndk/21.1.6352462/toolchains/llvm/prebuilt/linux-x86_64/bin/aarch64-linux-android26-clang"
   2327 #define __GMP_CFLAGS "-O2 -g -pedantic -fomit-frame-pointer -Wa,--noexecstack -ffunction-sections -funwind-tables -no-canonical-prefixes -fno-strict-aliasing -fstack-protector-strong -finline-limit=300 -funswitch-loops"
   2328 
   2329 /* Major version number is the value of __GNU_MP__ too, above. */
   2330 #define __GNU_MP_VERSION            6
   2331 #define __GNU_MP_VERSION_MINOR      2
   2332 #define __GNU_MP_VERSION_PATCHLEVEL 0
   2333 #define __GNU_MP_RELEASE (__GNU_MP_VERSION * 10000 + __GNU_MP_VERSION_MINOR * 100 + __GNU_MP_VERSION_PATCHLEVEL)
   2334 
   2335 #define __GMP_H__
   2336 #endif /* __GMP_H__ */