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gmp.h revision 1.4
      1 /* Definitions for GNU multiple precision functions.   -*- mode: c -*-
      2 
      3 Copyright 1991, 1993-1997, 1999-2016 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                      32
     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 #define __GMP_NOTHROW  throw ()
    345 #else
    346 #define __GMP_NOTHROW
    347 #endif
    348 
    349 
    350 /* PORTME: What other compilers have a useful "extern inline"?  "static
    351    inline" would be an acceptable substitute if the compiler (or linker)
    352    discards unused statics.  */
    353 
    354  /* gcc has __inline__ in all modes, including strict ansi.  Give a prototype
    355     for an inline too, so as to correctly specify "dllimport" on windows, in
    356     case the function is called rather than inlined.
    357     GCC 4.3 and above with -std=c99 or -std=gnu99 implements ISO C99
    358     inline semantics, unless -fgnu89-inline is used.  */
    359 #ifdef __GNUC__
    360 #if (defined __GNUC_STDC_INLINE__) || (__GNUC__ == 4 && __GNUC_MINOR__ == 2) \
    361   || (defined __GNUC_GNU_INLINE__ && defined __cplusplus)
    362 #define __GMP_EXTERN_INLINE extern __inline__ __attribute__ ((__gnu_inline__))
    363 #else
    364 #define __GMP_EXTERN_INLINE      extern __inline__
    365 #endif
    366 #define __GMP_INLINE_PROTOTYPES  1
    367 #endif
    368 
    369 /* DEC C (eg. version 5.9) supports "static __inline foo()", even in -std1
    370    strict ANSI mode.  Inlining is done even when not optimizing (ie. -O0
    371    mode, which is the default), but an unnecessary local copy of foo is
    372    emitted unless -O is used.  "extern __inline" is accepted, but the
    373    "extern" appears to be ignored, ie. it becomes a plain global function
    374    but which is inlined within its file.  Don't know if all old versions of
    375    DEC C supported __inline, but as a start let's do the right thing for
    376    current versions.  */
    377 #ifdef __DECC
    378 #define __GMP_EXTERN_INLINE  static __inline
    379 #endif
    380 
    381 /* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict
    382    ANSI mode (__STDC__ is 1 in that mode).  Inlining only actually takes
    383    place under -O.  Without -O "foo" seems to be emitted whether it's used
    384    or not, which is wasteful.  "extern inline foo()" isn't useful, the
    385    "extern" is apparently ignored, so foo is inlined if possible but also
    386    emitted as a global, which causes multiple definition errors when
    387    building a shared libgmp.  */
    388 #ifdef __SCO_VERSION__
    389 #if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
    390   && ! defined (__GMP_EXTERN_INLINE)
    391 #define __GMP_EXTERN_INLINE  static inline
    392 #endif
    393 #endif
    394 
    395 /* Microsoft's C compiler accepts __inline */
    396 #ifdef _MSC_VER
    397 #define __GMP_EXTERN_INLINE  __inline
    398 #endif
    399 
    400 /* Recent enough Sun C compilers want "inline" */
    401 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x560 \
    402   && ! defined (__GMP_EXTERN_INLINE)
    403 #define __GMP_EXTERN_INLINE  inline
    404 #endif
    405 
    406 /* Somewhat older Sun C compilers want "static inline" */
    407 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x540 \
    408   && ! defined (__GMP_EXTERN_INLINE)
    409 #define __GMP_EXTERN_INLINE  static inline
    410 #endif
    411 
    412 
    413 /* C++ always has "inline" and since it's a normal feature the linker should
    414    discard duplicate non-inlined copies, or if it doesn't then that's a
    415    problem for everyone, not just GMP.  */
    416 #if defined (__cplusplus) && ! defined (__GMP_EXTERN_INLINE)
    417 #define __GMP_EXTERN_INLINE  inline
    418 #endif
    419 
    420 /* Don't do any inlining within a configure run, since if the compiler ends
    421    up emitting copies of the code into the object file it can end up
    422    demanding the various support routines (like mpn_popcount) for linking,
    423    making the "alloca" test and perhaps others fail.  And on hppa ia64 a
    424    pre-release gcc 3.2 was seen not respecting the "extern" in "extern
    425    __inline__", triggering this problem too.  */
    426 #if defined (__GMP_WITHIN_CONFIGURE) && ! __GMP_WITHIN_CONFIGURE_INLINE
    427 #undef __GMP_EXTERN_INLINE
    428 #endif
    429 
    430 /* By default, don't give a prototype when there's going to be an inline
    431    version.  Note in particular that Cray C++ objects to the combination of
    432    prototype and inline.  */
    433 #ifdef __GMP_EXTERN_INLINE
    434 #ifndef __GMP_INLINE_PROTOTYPES
    435 #define __GMP_INLINE_PROTOTYPES  0
    436 #endif
    437 #else
    438 #define __GMP_INLINE_PROTOTYPES  1
    439 #endif
    440 
    441 
    442 #define __GMP_ABS(x)   ((x) >= 0 ? (x) : -(x))
    443 #define __GMP_MAX(h,i) ((h) > (i) ? (h) : (i))
    444 
    445 
    446 /* __builtin_expect is in gcc 3.0, and not in 2.95. */
    447 #if __GMP_GNUC_PREREQ (3,0)
    448 #define __GMP_LIKELY(cond)    __builtin_expect ((cond) != 0, 1)
    449 #define __GMP_UNLIKELY(cond)  __builtin_expect ((cond) != 0, 0)
    450 #else
    451 #define __GMP_LIKELY(cond)    (cond)
    452 #define __GMP_UNLIKELY(cond)  (cond)
    453 #endif
    454 
    455 #ifdef _CRAY
    456 #define __GMP_CRAY_Pragma(str)  _Pragma (str)
    457 #else
    458 #define __GMP_CRAY_Pragma(str)
    459 #endif
    460 
    461 
    462 /* Allow direct user access to numerator and denominator of an mpq_t object.  */
    463 #define mpq_numref(Q) (&((Q)->_mp_num))
    464 #define mpq_denref(Q) (&((Q)->_mp_den))
    465 
    466 
    467 #if defined (__cplusplus)
    468 extern "C" {
    469 using std::FILE;
    470 #endif
    471 
    472 #define mp_set_memory_functions __gmp_set_memory_functions
    473 __GMP_DECLSPEC void mp_set_memory_functions (void *(*) (size_t),
    474 				      void *(*) (void *, size_t, size_t),
    475 				      void (*) (void *, size_t)) __GMP_NOTHROW;
    476 
    477 #define mp_get_memory_functions __gmp_get_memory_functions
    478 __GMP_DECLSPEC void mp_get_memory_functions (void *(**) (size_t),
    479 				      void *(**) (void *, size_t, size_t),
    480 				      void (**) (void *, size_t)) __GMP_NOTHROW;
    481 
    482 #define mp_bits_per_limb __gmp_bits_per_limb
    483 __GMP_DECLSPEC extern const int mp_bits_per_limb;
    484 
    485 #define gmp_errno __gmp_errno
    486 __GMP_DECLSPEC extern int gmp_errno;
    487 
    488 #define gmp_version __gmp_version
    489 __GMP_DECLSPEC extern const char * const gmp_version;
    490 
    491 
    492 /**************** Random number routines.  ****************/
    493 
    494 /* obsolete */
    495 #define gmp_randinit __gmp_randinit
    496 __GMP_DECLSPEC void gmp_randinit (gmp_randstate_t, gmp_randalg_t, ...);
    497 
    498 #define gmp_randinit_default __gmp_randinit_default
    499 __GMP_DECLSPEC void gmp_randinit_default (gmp_randstate_t);
    500 
    501 #define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
    502 __GMP_DECLSPEC void gmp_randinit_lc_2exp (gmp_randstate_t, mpz_srcptr, unsigned long int, mp_bitcnt_t);
    503 
    504 #define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size
    505 __GMP_DECLSPEC int gmp_randinit_lc_2exp_size (gmp_randstate_t, mp_bitcnt_t);
    506 
    507 #define gmp_randinit_mt __gmp_randinit_mt
    508 __GMP_DECLSPEC void gmp_randinit_mt (gmp_randstate_t);
    509 
    510 #define gmp_randinit_set __gmp_randinit_set
    511 __GMP_DECLSPEC void gmp_randinit_set (gmp_randstate_t, const __gmp_randstate_struct *);
    512 
    513 #define gmp_randseed __gmp_randseed
    514 __GMP_DECLSPEC void gmp_randseed (gmp_randstate_t, mpz_srcptr);
    515 
    516 #define gmp_randseed_ui __gmp_randseed_ui
    517 __GMP_DECLSPEC void gmp_randseed_ui (gmp_randstate_t, unsigned long int);
    518 
    519 #define gmp_randclear __gmp_randclear
    520 __GMP_DECLSPEC void gmp_randclear (gmp_randstate_t);
    521 
    522 #define gmp_urandomb_ui __gmp_urandomb_ui
    523 __GMP_DECLSPEC unsigned long gmp_urandomb_ui (gmp_randstate_t, unsigned long);
    524 
    525 #define gmp_urandomm_ui __gmp_urandomm_ui
    526 __GMP_DECLSPEC unsigned long gmp_urandomm_ui (gmp_randstate_t, unsigned long);
    527 
    528 
    529 /**************** Formatted output routines.  ****************/
    530 
    531 #define gmp_asprintf __gmp_asprintf
    532 __GMP_DECLSPEC int gmp_asprintf (char **, const char *, ...);
    533 
    534 #define gmp_fprintf __gmp_fprintf
    535 #ifdef _GMP_H_HAVE_FILE
    536 __GMP_DECLSPEC int gmp_fprintf (FILE *, const char *, ...);
    537 #endif
    538 
    539 #define gmp_obstack_printf __gmp_obstack_printf
    540 #if defined (_GMP_H_HAVE_OBSTACK)
    541 __GMP_DECLSPEC int gmp_obstack_printf (struct obstack *, const char *, ...);
    542 #endif
    543 
    544 #define gmp_obstack_vprintf __gmp_obstack_vprintf
    545 #if defined (_GMP_H_HAVE_OBSTACK) && defined (_GMP_H_HAVE_VA_LIST)
    546 __GMP_DECLSPEC int gmp_obstack_vprintf (struct obstack *, const char *, va_list);
    547 #endif
    548 
    549 #define gmp_printf __gmp_printf
    550 __GMP_DECLSPEC int gmp_printf (const char *, ...);
    551 
    552 #define gmp_snprintf __gmp_snprintf
    553 __GMP_DECLSPEC int gmp_snprintf (char *, size_t, const char *, ...);
    554 
    555 #define gmp_sprintf __gmp_sprintf
    556 __GMP_DECLSPEC int gmp_sprintf (char *, const char *, ...);
    557 
    558 #define gmp_vasprintf __gmp_vasprintf
    559 #if defined (_GMP_H_HAVE_VA_LIST)
    560 __GMP_DECLSPEC int gmp_vasprintf (char **, const char *, va_list);
    561 #endif
    562 
    563 #define gmp_vfprintf __gmp_vfprintf
    564 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
    565 __GMP_DECLSPEC int gmp_vfprintf (FILE *, const char *, va_list);
    566 #endif
    567 
    568 #define gmp_vprintf __gmp_vprintf
    569 #if defined (_GMP_H_HAVE_VA_LIST)
    570 __GMP_DECLSPEC int gmp_vprintf (const char *, va_list);
    571 #endif
    572 
    573 #define gmp_vsnprintf __gmp_vsnprintf
    574 #if defined (_GMP_H_HAVE_VA_LIST)
    575 __GMP_DECLSPEC int gmp_vsnprintf (char *, size_t, const char *, va_list);
    576 #endif
    577 
    578 #define gmp_vsprintf __gmp_vsprintf
    579 #if defined (_GMP_H_HAVE_VA_LIST)
    580 __GMP_DECLSPEC int gmp_vsprintf (char *, const char *, va_list);
    581 #endif
    582 
    583 
    584 /**************** Formatted input routines.  ****************/
    585 
    586 #define gmp_fscanf __gmp_fscanf
    587 #ifdef _GMP_H_HAVE_FILE
    588 __GMP_DECLSPEC int gmp_fscanf (FILE *, const char *, ...);
    589 #endif
    590 
    591 #define gmp_scanf __gmp_scanf
    592 __GMP_DECLSPEC int gmp_scanf (const char *, ...);
    593 
    594 #define gmp_sscanf __gmp_sscanf
    595 __GMP_DECLSPEC int gmp_sscanf (const char *, const char *, ...);
    596 
    597 #define gmp_vfscanf __gmp_vfscanf
    598 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
    599 __GMP_DECLSPEC int gmp_vfscanf (FILE *, const char *, va_list);
    600 #endif
    601 
    602 #define gmp_vscanf __gmp_vscanf
    603 #if defined (_GMP_H_HAVE_VA_LIST)
    604 __GMP_DECLSPEC int gmp_vscanf (const char *, va_list);
    605 #endif
    606 
    607 #define gmp_vsscanf __gmp_vsscanf
    608 #if defined (_GMP_H_HAVE_VA_LIST)
    609 __GMP_DECLSPEC int gmp_vsscanf (const char *, const char *, va_list);
    610 #endif
    611 
    612 
    613 /**************** Integer (i.e. Z) routines.  ****************/
    614 
    615 #define _mpz_realloc __gmpz_realloc
    616 #define mpz_realloc __gmpz_realloc
    617 __GMP_DECLSPEC void *_mpz_realloc (mpz_ptr, mp_size_t);
    618 
    619 #define mpz_abs __gmpz_abs
    620 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs)
    621 __GMP_DECLSPEC void mpz_abs (mpz_ptr, mpz_srcptr);
    622 #endif
    623 
    624 #define mpz_add __gmpz_add
    625 __GMP_DECLSPEC void mpz_add (mpz_ptr, mpz_srcptr, mpz_srcptr);
    626 
    627 #define mpz_add_ui __gmpz_add_ui
    628 __GMP_DECLSPEC void mpz_add_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    629 
    630 #define mpz_addmul __gmpz_addmul
    631 __GMP_DECLSPEC void mpz_addmul (mpz_ptr, mpz_srcptr, mpz_srcptr);
    632 
    633 #define mpz_addmul_ui __gmpz_addmul_ui
    634 __GMP_DECLSPEC void mpz_addmul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    635 
    636 #define mpz_and __gmpz_and
    637 __GMP_DECLSPEC void mpz_and (mpz_ptr, mpz_srcptr, mpz_srcptr);
    638 
    639 #define mpz_array_init __gmpz_array_init
    640 __GMP_DECLSPEC void mpz_array_init (mpz_ptr, mp_size_t, mp_size_t);
    641 
    642 #define mpz_bin_ui __gmpz_bin_ui
    643 __GMP_DECLSPEC void mpz_bin_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    644 
    645 #define mpz_bin_uiui __gmpz_bin_uiui
    646 __GMP_DECLSPEC void mpz_bin_uiui (mpz_ptr, unsigned long int, unsigned long int);
    647 
    648 #define mpz_cdiv_q __gmpz_cdiv_q
    649 __GMP_DECLSPEC void mpz_cdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
    650 
    651 #define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
    652 __GMP_DECLSPEC void mpz_cdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
    653 
    654 #define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
    655 __GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    656 
    657 #define mpz_cdiv_qr __gmpz_cdiv_qr
    658 __GMP_DECLSPEC void mpz_cdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
    659 
    660 #define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
    661 __GMP_DECLSPEC unsigned long int mpz_cdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
    662 
    663 #define mpz_cdiv_r __gmpz_cdiv_r
    664 __GMP_DECLSPEC void mpz_cdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
    665 
    666 #define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
    667 __GMP_DECLSPEC void mpz_cdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
    668 
    669 #define mpz_cdiv_r_ui __gmpz_cdiv_r_ui
    670 __GMP_DECLSPEC unsigned long int mpz_cdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    671 
    672 #define mpz_cdiv_ui __gmpz_cdiv_ui
    673 __GMP_DECLSPEC unsigned long int mpz_cdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
    674 
    675 #define mpz_clear __gmpz_clear
    676 __GMP_DECLSPEC void mpz_clear (mpz_ptr);
    677 
    678 #define mpz_clears __gmpz_clears
    679 __GMP_DECLSPEC void mpz_clears (mpz_ptr, ...);
    680 
    681 #define mpz_clrbit __gmpz_clrbit
    682 __GMP_DECLSPEC void mpz_clrbit (mpz_ptr, mp_bitcnt_t);
    683 
    684 #define mpz_cmp __gmpz_cmp
    685 __GMP_DECLSPEC int mpz_cmp (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    686 
    687 #define mpz_cmp_d __gmpz_cmp_d
    688 __GMP_DECLSPEC int mpz_cmp_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
    689 
    690 #define _mpz_cmp_si __gmpz_cmp_si
    691 __GMP_DECLSPEC int _mpz_cmp_si (mpz_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    692 
    693 #define _mpz_cmp_ui __gmpz_cmp_ui
    694 __GMP_DECLSPEC int _mpz_cmp_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    695 
    696 #define mpz_cmpabs __gmpz_cmpabs
    697 __GMP_DECLSPEC int mpz_cmpabs (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    698 
    699 #define mpz_cmpabs_d __gmpz_cmpabs_d
    700 __GMP_DECLSPEC int mpz_cmpabs_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
    701 
    702 #define mpz_cmpabs_ui __gmpz_cmpabs_ui
    703 __GMP_DECLSPEC int mpz_cmpabs_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    704 
    705 #define mpz_com __gmpz_com
    706 __GMP_DECLSPEC void mpz_com (mpz_ptr, mpz_srcptr);
    707 
    708 #define mpz_combit __gmpz_combit
    709 __GMP_DECLSPEC void mpz_combit (mpz_ptr, mp_bitcnt_t);
    710 
    711 #define mpz_congruent_p __gmpz_congruent_p
    712 __GMP_DECLSPEC int mpz_congruent_p (mpz_srcptr, mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    713 
    714 #define mpz_congruent_2exp_p __gmpz_congruent_2exp_p
    715 __GMP_DECLSPEC int mpz_congruent_2exp_p (mpz_srcptr, mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    716 
    717 #define mpz_congruent_ui_p __gmpz_congruent_ui_p
    718 __GMP_DECLSPEC int mpz_congruent_ui_p (mpz_srcptr, unsigned long, unsigned long) __GMP_ATTRIBUTE_PURE;
    719 
    720 #define mpz_divexact __gmpz_divexact
    721 __GMP_DECLSPEC void mpz_divexact (mpz_ptr, mpz_srcptr, mpz_srcptr);
    722 
    723 #define mpz_divexact_ui __gmpz_divexact_ui
    724 __GMP_DECLSPEC void mpz_divexact_ui (mpz_ptr, mpz_srcptr, unsigned long);
    725 
    726 #define mpz_divisible_p __gmpz_divisible_p
    727 __GMP_DECLSPEC int mpz_divisible_p (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    728 
    729 #define mpz_divisible_ui_p __gmpz_divisible_ui_p
    730 __GMP_DECLSPEC int mpz_divisible_ui_p (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
    731 
    732 #define mpz_divisible_2exp_p __gmpz_divisible_2exp_p
    733 __GMP_DECLSPEC int mpz_divisible_2exp_p (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    734 
    735 #define mpz_dump __gmpz_dump
    736 __GMP_DECLSPEC void mpz_dump (mpz_srcptr);
    737 
    738 #define mpz_export __gmpz_export
    739 __GMP_DECLSPEC void *mpz_export (void *, size_t *, int, size_t, int, size_t, mpz_srcptr);
    740 
    741 #define mpz_fac_ui __gmpz_fac_ui
    742 __GMP_DECLSPEC void mpz_fac_ui (mpz_ptr, unsigned long int);
    743 
    744 #define mpz_2fac_ui __gmpz_2fac_ui
    745 __GMP_DECLSPEC void mpz_2fac_ui (mpz_ptr, unsigned long int);
    746 
    747 #define mpz_mfac_uiui __gmpz_mfac_uiui
    748 __GMP_DECLSPEC void mpz_mfac_uiui (mpz_ptr, unsigned long int, unsigned long int);
    749 
    750 #define mpz_primorial_ui __gmpz_primorial_ui
    751 __GMP_DECLSPEC void mpz_primorial_ui (mpz_ptr, unsigned long int);
    752 
    753 #define mpz_fdiv_q __gmpz_fdiv_q
    754 __GMP_DECLSPEC void mpz_fdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
    755 
    756 #define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
    757 __GMP_DECLSPEC void mpz_fdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
    758 
    759 #define mpz_fdiv_q_ui __gmpz_fdiv_q_ui
    760 __GMP_DECLSPEC unsigned long int mpz_fdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    761 
    762 #define mpz_fdiv_qr __gmpz_fdiv_qr
    763 __GMP_DECLSPEC void mpz_fdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
    764 
    765 #define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui
    766 __GMP_DECLSPEC unsigned long int mpz_fdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
    767 
    768 #define mpz_fdiv_r __gmpz_fdiv_r
    769 __GMP_DECLSPEC void mpz_fdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
    770 
    771 #define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
    772 __GMP_DECLSPEC void mpz_fdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
    773 
    774 #define mpz_fdiv_r_ui __gmpz_fdiv_r_ui
    775 __GMP_DECLSPEC unsigned long int mpz_fdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    776 
    777 #define mpz_fdiv_ui __gmpz_fdiv_ui
    778 __GMP_DECLSPEC unsigned long int mpz_fdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
    779 
    780 #define mpz_fib_ui __gmpz_fib_ui
    781 __GMP_DECLSPEC void mpz_fib_ui (mpz_ptr, unsigned long int);
    782 
    783 #define mpz_fib2_ui __gmpz_fib2_ui
    784 __GMP_DECLSPEC void mpz_fib2_ui (mpz_ptr, mpz_ptr, unsigned long int);
    785 
    786 #define mpz_fits_sint_p __gmpz_fits_sint_p
    787 __GMP_DECLSPEC int mpz_fits_sint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    788 
    789 #define mpz_fits_slong_p __gmpz_fits_slong_p
    790 __GMP_DECLSPEC int mpz_fits_slong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    791 
    792 #define mpz_fits_sshort_p __gmpz_fits_sshort_p
    793 __GMP_DECLSPEC int mpz_fits_sshort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    794 
    795 #define mpz_fits_uint_p __gmpz_fits_uint_p
    796 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_uint_p)
    797 __GMP_DECLSPEC int mpz_fits_uint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    798 #endif
    799 
    800 #define mpz_fits_ulong_p __gmpz_fits_ulong_p
    801 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ulong_p)
    802 __GMP_DECLSPEC int mpz_fits_ulong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    803 #endif
    804 
    805 #define mpz_fits_ushort_p __gmpz_fits_ushort_p
    806 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ushort_p)
    807 __GMP_DECLSPEC int mpz_fits_ushort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    808 #endif
    809 
    810 #define mpz_gcd __gmpz_gcd
    811 __GMP_DECLSPEC void mpz_gcd (mpz_ptr, mpz_srcptr, mpz_srcptr);
    812 
    813 #define mpz_gcd_ui __gmpz_gcd_ui
    814 __GMP_DECLSPEC unsigned long int mpz_gcd_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    815 
    816 #define mpz_gcdext __gmpz_gcdext
    817 __GMP_DECLSPEC void mpz_gcdext (mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
    818 
    819 #define mpz_get_d __gmpz_get_d
    820 __GMP_DECLSPEC double mpz_get_d (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    821 
    822 #define mpz_get_d_2exp __gmpz_get_d_2exp
    823 __GMP_DECLSPEC double mpz_get_d_2exp (signed long int *, mpz_srcptr);
    824 
    825 #define mpz_get_si __gmpz_get_si
    826 __GMP_DECLSPEC /* signed */ long int mpz_get_si (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    827 
    828 #define mpz_get_str __gmpz_get_str
    829 __GMP_DECLSPEC char *mpz_get_str (char *, int, mpz_srcptr);
    830 
    831 #define mpz_get_ui __gmpz_get_ui
    832 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_get_ui)
    833 __GMP_DECLSPEC unsigned long int mpz_get_ui (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    834 #endif
    835 
    836 #define mpz_getlimbn __gmpz_getlimbn
    837 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_getlimbn)
    838 __GMP_DECLSPEC mp_limb_t mpz_getlimbn (mpz_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    839 #endif
    840 
    841 #define mpz_hamdist __gmpz_hamdist
    842 __GMP_DECLSPEC mp_bitcnt_t mpz_hamdist (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    843 
    844 #define mpz_import __gmpz_import
    845 __GMP_DECLSPEC void mpz_import (mpz_ptr, size_t, int, size_t, int, size_t, const void *);
    846 
    847 #define mpz_init __gmpz_init
    848 __GMP_DECLSPEC void mpz_init (mpz_ptr);
    849 
    850 #define mpz_init2 __gmpz_init2
    851 __GMP_DECLSPEC void mpz_init2 (mpz_ptr, mp_bitcnt_t);
    852 
    853 #define mpz_inits __gmpz_inits
    854 __GMP_DECLSPEC void mpz_inits (mpz_ptr, ...);
    855 
    856 #define mpz_init_set __gmpz_init_set
    857 __GMP_DECLSPEC void mpz_init_set (mpz_ptr, mpz_srcptr);
    858 
    859 #define mpz_init_set_d __gmpz_init_set_d
    860 __GMP_DECLSPEC void mpz_init_set_d (mpz_ptr, double);
    861 
    862 #define mpz_init_set_si __gmpz_init_set_si
    863 __GMP_DECLSPEC void mpz_init_set_si (mpz_ptr, signed long int);
    864 
    865 #define mpz_init_set_str __gmpz_init_set_str
    866 __GMP_DECLSPEC int mpz_init_set_str (mpz_ptr, const char *, int);
    867 
    868 #define mpz_init_set_ui __gmpz_init_set_ui
    869 __GMP_DECLSPEC void mpz_init_set_ui (mpz_ptr, unsigned long int);
    870 
    871 #define mpz_inp_raw __gmpz_inp_raw
    872 #ifdef _GMP_H_HAVE_FILE
    873 __GMP_DECLSPEC size_t mpz_inp_raw (mpz_ptr, FILE *);
    874 #endif
    875 
    876 #define mpz_inp_str __gmpz_inp_str
    877 #ifdef _GMP_H_HAVE_FILE
    878 __GMP_DECLSPEC size_t mpz_inp_str (mpz_ptr, FILE *, int);
    879 #endif
    880 
    881 #define mpz_invert __gmpz_invert
    882 __GMP_DECLSPEC int mpz_invert (mpz_ptr, mpz_srcptr, mpz_srcptr);
    883 
    884 #define mpz_ior __gmpz_ior
    885 __GMP_DECLSPEC void mpz_ior (mpz_ptr, mpz_srcptr, mpz_srcptr);
    886 
    887 #define mpz_jacobi __gmpz_jacobi
    888 __GMP_DECLSPEC int mpz_jacobi (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    889 
    890 #define mpz_kronecker mpz_jacobi  /* alias */
    891 
    892 #define mpz_kronecker_si __gmpz_kronecker_si
    893 __GMP_DECLSPEC int mpz_kronecker_si (mpz_srcptr, long) __GMP_ATTRIBUTE_PURE;
    894 
    895 #define mpz_kronecker_ui __gmpz_kronecker_ui
    896 __GMP_DECLSPEC int mpz_kronecker_ui (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
    897 
    898 #define mpz_si_kronecker __gmpz_si_kronecker
    899 __GMP_DECLSPEC int mpz_si_kronecker (long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    900 
    901 #define mpz_ui_kronecker __gmpz_ui_kronecker
    902 __GMP_DECLSPEC int mpz_ui_kronecker (unsigned long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    903 
    904 #define mpz_lcm __gmpz_lcm
    905 __GMP_DECLSPEC void mpz_lcm (mpz_ptr, mpz_srcptr, mpz_srcptr);
    906 
    907 #define mpz_lcm_ui __gmpz_lcm_ui
    908 __GMP_DECLSPEC void mpz_lcm_ui (mpz_ptr, mpz_srcptr, unsigned long);
    909 
    910 #define mpz_legendre mpz_jacobi  /* alias */
    911 
    912 #define mpz_lucnum_ui __gmpz_lucnum_ui
    913 __GMP_DECLSPEC void mpz_lucnum_ui (mpz_ptr, unsigned long int);
    914 
    915 #define mpz_lucnum2_ui __gmpz_lucnum2_ui
    916 __GMP_DECLSPEC void mpz_lucnum2_ui (mpz_ptr, mpz_ptr, unsigned long int);
    917 
    918 #define mpz_millerrabin __gmpz_millerrabin
    919 __GMP_DECLSPEC int mpz_millerrabin (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
    920 
    921 #define mpz_mod __gmpz_mod
    922 __GMP_DECLSPEC void mpz_mod (mpz_ptr, mpz_srcptr, mpz_srcptr);
    923 
    924 #define mpz_mod_ui mpz_fdiv_r_ui /* same as fdiv_r because divisor unsigned */
    925 
    926 #define mpz_mul __gmpz_mul
    927 __GMP_DECLSPEC void mpz_mul (mpz_ptr, mpz_srcptr, mpz_srcptr);
    928 
    929 #define mpz_mul_2exp __gmpz_mul_2exp
    930 __GMP_DECLSPEC void mpz_mul_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
    931 
    932 #define mpz_mul_si __gmpz_mul_si
    933 __GMP_DECLSPEC void mpz_mul_si (mpz_ptr, mpz_srcptr, long int);
    934 
    935 #define mpz_mul_ui __gmpz_mul_ui
    936 __GMP_DECLSPEC void mpz_mul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    937 
    938 #define mpz_neg __gmpz_neg
    939 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_neg)
    940 __GMP_DECLSPEC void mpz_neg (mpz_ptr, mpz_srcptr);
    941 #endif
    942 
    943 #define mpz_nextprime __gmpz_nextprime
    944 __GMP_DECLSPEC void mpz_nextprime (mpz_ptr, mpz_srcptr);
    945 
    946 #define mpz_out_raw __gmpz_out_raw
    947 #ifdef _GMP_H_HAVE_FILE
    948 __GMP_DECLSPEC size_t mpz_out_raw (FILE *, mpz_srcptr);
    949 #endif
    950 
    951 #define mpz_out_str __gmpz_out_str
    952 #ifdef _GMP_H_HAVE_FILE
    953 __GMP_DECLSPEC size_t mpz_out_str (FILE *, int, mpz_srcptr);
    954 #endif
    955 
    956 #define mpz_perfect_power_p __gmpz_perfect_power_p
    957 __GMP_DECLSPEC int mpz_perfect_power_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    958 
    959 #define mpz_perfect_square_p __gmpz_perfect_square_p
    960 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_perfect_square_p)
    961 __GMP_DECLSPEC int mpz_perfect_square_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
    962 #endif
    963 
    964 #define mpz_popcount __gmpz_popcount
    965 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_popcount)
    966 __GMP_DECLSPEC mp_bitcnt_t mpz_popcount (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
    967 #endif
    968 
    969 #define mpz_pow_ui __gmpz_pow_ui
    970 __GMP_DECLSPEC void mpz_pow_ui (mpz_ptr, mpz_srcptr, unsigned long int);
    971 
    972 #define mpz_powm __gmpz_powm
    973 __GMP_DECLSPEC void mpz_powm (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
    974 
    975 #define mpz_powm_sec __gmpz_powm_sec
    976 __GMP_DECLSPEC void mpz_powm_sec (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
    977 
    978 #define mpz_powm_ui __gmpz_powm_ui
    979 __GMP_DECLSPEC void mpz_powm_ui (mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr);
    980 
    981 #define mpz_probab_prime_p __gmpz_probab_prime_p
    982 __GMP_DECLSPEC int mpz_probab_prime_p (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
    983 
    984 #define mpz_random __gmpz_random
    985 __GMP_DECLSPEC void mpz_random (mpz_ptr, mp_size_t);
    986 
    987 #define mpz_random2 __gmpz_random2
    988 __GMP_DECLSPEC void mpz_random2 (mpz_ptr, mp_size_t);
    989 
    990 #define mpz_realloc2 __gmpz_realloc2
    991 __GMP_DECLSPEC void mpz_realloc2 (mpz_ptr, mp_bitcnt_t);
    992 
    993 #define mpz_remove __gmpz_remove
    994 __GMP_DECLSPEC mp_bitcnt_t mpz_remove (mpz_ptr, mpz_srcptr, mpz_srcptr);
    995 
    996 #define mpz_root __gmpz_root
    997 __GMP_DECLSPEC int mpz_root (mpz_ptr, mpz_srcptr, unsigned long int);
    998 
    999 #define mpz_rootrem __gmpz_rootrem
   1000 __GMP_DECLSPEC void mpz_rootrem (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
   1001 
   1002 #define mpz_rrandomb __gmpz_rrandomb
   1003 __GMP_DECLSPEC void mpz_rrandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
   1004 
   1005 #define mpz_scan0 __gmpz_scan0
   1006 __GMP_DECLSPEC mp_bitcnt_t mpz_scan0 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1007 
   1008 #define mpz_scan1 __gmpz_scan1
   1009 __GMP_DECLSPEC mp_bitcnt_t mpz_scan1 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1010 
   1011 #define mpz_set __gmpz_set
   1012 __GMP_DECLSPEC void mpz_set (mpz_ptr, mpz_srcptr);
   1013 
   1014 #define mpz_set_d __gmpz_set_d
   1015 __GMP_DECLSPEC void mpz_set_d (mpz_ptr, double);
   1016 
   1017 #define mpz_set_f __gmpz_set_f
   1018 __GMP_DECLSPEC void mpz_set_f (mpz_ptr, mpf_srcptr);
   1019 
   1020 #define mpz_set_q __gmpz_set_q
   1021 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_set_q)
   1022 __GMP_DECLSPEC void mpz_set_q (mpz_ptr, mpq_srcptr);
   1023 #endif
   1024 
   1025 #define mpz_set_si __gmpz_set_si
   1026 __GMP_DECLSPEC void mpz_set_si (mpz_ptr, signed long int);
   1027 
   1028 #define mpz_set_str __gmpz_set_str
   1029 __GMP_DECLSPEC int mpz_set_str (mpz_ptr, const char *, int);
   1030 
   1031 #define mpz_set_ui __gmpz_set_ui
   1032 __GMP_DECLSPEC void mpz_set_ui (mpz_ptr, unsigned long int);
   1033 
   1034 #define mpz_setbit __gmpz_setbit
   1035 __GMP_DECLSPEC void mpz_setbit (mpz_ptr, mp_bitcnt_t);
   1036 
   1037 #define mpz_size __gmpz_size
   1038 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_size)
   1039 __GMP_DECLSPEC size_t mpz_size (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1040 #endif
   1041 
   1042 #define mpz_sizeinbase __gmpz_sizeinbase
   1043 __GMP_DECLSPEC size_t mpz_sizeinbase (mpz_srcptr, int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1044 
   1045 #define mpz_sqrt __gmpz_sqrt
   1046 __GMP_DECLSPEC void mpz_sqrt (mpz_ptr, mpz_srcptr);
   1047 
   1048 #define mpz_sqrtrem __gmpz_sqrtrem
   1049 __GMP_DECLSPEC void mpz_sqrtrem (mpz_ptr, mpz_ptr, mpz_srcptr);
   1050 
   1051 #define mpz_sub __gmpz_sub
   1052 __GMP_DECLSPEC void mpz_sub (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1053 
   1054 #define mpz_sub_ui __gmpz_sub_ui
   1055 __GMP_DECLSPEC void mpz_sub_ui (mpz_ptr, mpz_srcptr, unsigned long int);
   1056 
   1057 #define mpz_ui_sub __gmpz_ui_sub
   1058 __GMP_DECLSPEC void mpz_ui_sub (mpz_ptr, unsigned long int, mpz_srcptr);
   1059 
   1060 #define mpz_submul __gmpz_submul
   1061 __GMP_DECLSPEC void mpz_submul (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1062 
   1063 #define mpz_submul_ui __gmpz_submul_ui
   1064 __GMP_DECLSPEC void mpz_submul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
   1065 
   1066 #define mpz_swap __gmpz_swap
   1067 __GMP_DECLSPEC void mpz_swap (mpz_ptr, mpz_ptr) __GMP_NOTHROW;
   1068 
   1069 #define mpz_tdiv_ui __gmpz_tdiv_ui
   1070 __GMP_DECLSPEC unsigned long int mpz_tdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
   1071 
   1072 #define mpz_tdiv_q __gmpz_tdiv_q
   1073 __GMP_DECLSPEC void mpz_tdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1074 
   1075 #define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp
   1076 __GMP_DECLSPEC void mpz_tdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
   1077 
   1078 #define mpz_tdiv_q_ui __gmpz_tdiv_q_ui
   1079 __GMP_DECLSPEC unsigned long int mpz_tdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
   1080 
   1081 #define mpz_tdiv_qr __gmpz_tdiv_qr
   1082 __GMP_DECLSPEC void mpz_tdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
   1083 
   1084 #define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui
   1085 __GMP_DECLSPEC unsigned long int mpz_tdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
   1086 
   1087 #define mpz_tdiv_r __gmpz_tdiv_r
   1088 __GMP_DECLSPEC void mpz_tdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1089 
   1090 #define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp
   1091 __GMP_DECLSPEC void mpz_tdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
   1092 
   1093 #define mpz_tdiv_r_ui __gmpz_tdiv_r_ui
   1094 __GMP_DECLSPEC unsigned long int mpz_tdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
   1095 
   1096 #define mpz_tstbit __gmpz_tstbit
   1097 __GMP_DECLSPEC int mpz_tstbit (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1098 
   1099 #define mpz_ui_pow_ui __gmpz_ui_pow_ui
   1100 __GMP_DECLSPEC void mpz_ui_pow_ui (mpz_ptr, unsigned long int, unsigned long int);
   1101 
   1102 #define mpz_urandomb __gmpz_urandomb
   1103 __GMP_DECLSPEC void mpz_urandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
   1104 
   1105 #define mpz_urandomm __gmpz_urandomm
   1106 __GMP_DECLSPEC void mpz_urandomm (mpz_ptr, gmp_randstate_t, mpz_srcptr);
   1107 
   1108 #define mpz_xor __gmpz_xor
   1109 #define mpz_eor __gmpz_xor
   1110 __GMP_DECLSPEC void mpz_xor (mpz_ptr, mpz_srcptr, mpz_srcptr);
   1111 
   1112 #define mpz_limbs_read __gmpz_limbs_read
   1113 __GMP_DECLSPEC mp_srcptr mpz_limbs_read (mpz_srcptr);
   1114 
   1115 #define mpz_limbs_write __gmpz_limbs_write
   1116 __GMP_DECLSPEC mp_ptr mpz_limbs_write (mpz_ptr, mp_size_t);
   1117 
   1118 #define mpz_limbs_modify __gmpz_limbs_modify
   1119 __GMP_DECLSPEC mp_ptr mpz_limbs_modify (mpz_ptr, mp_size_t);
   1120 
   1121 #define mpz_limbs_finish __gmpz_limbs_finish
   1122 __GMP_DECLSPEC void mpz_limbs_finish (mpz_ptr, mp_size_t);
   1123 
   1124 #define mpz_roinit_n __gmpz_roinit_n
   1125 __GMP_DECLSPEC mpz_srcptr mpz_roinit_n (mpz_ptr, mp_srcptr, mp_size_t);
   1126 
   1127 #define MPZ_ROINIT_N(xp, xs) {{0, (xs),(xp) }}
   1128 
   1129 /**************** Rational (i.e. Q) routines.  ****************/
   1130 
   1131 #define mpq_abs __gmpq_abs
   1132 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_abs)
   1133 __GMP_DECLSPEC void mpq_abs (mpq_ptr, mpq_srcptr);
   1134 #endif
   1135 
   1136 #define mpq_add __gmpq_add
   1137 __GMP_DECLSPEC void mpq_add (mpq_ptr, mpq_srcptr, mpq_srcptr);
   1138 
   1139 #define mpq_canonicalize __gmpq_canonicalize
   1140 __GMP_DECLSPEC void mpq_canonicalize (mpq_ptr);
   1141 
   1142 #define mpq_clear __gmpq_clear
   1143 __GMP_DECLSPEC void mpq_clear (mpq_ptr);
   1144 
   1145 #define mpq_clears __gmpq_clears
   1146 __GMP_DECLSPEC void mpq_clears (mpq_ptr, ...);
   1147 
   1148 #define mpq_cmp __gmpq_cmp
   1149 __GMP_DECLSPEC int mpq_cmp (mpq_srcptr, mpq_srcptr) __GMP_ATTRIBUTE_PURE;
   1150 
   1151 #define _mpq_cmp_si __gmpq_cmp_si
   1152 __GMP_DECLSPEC int _mpq_cmp_si (mpq_srcptr, long, unsigned long) __GMP_ATTRIBUTE_PURE;
   1153 
   1154 #define _mpq_cmp_ui __gmpq_cmp_ui
   1155 __GMP_DECLSPEC int _mpq_cmp_ui (mpq_srcptr, unsigned long int, unsigned long int) __GMP_ATTRIBUTE_PURE;
   1156 
   1157 #define mpq_cmp_z __gmpq_cmp_z
   1158 __GMP_DECLSPEC int mpq_cmp_z (mpq_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
   1159 
   1160 #define mpq_div __gmpq_div
   1161 __GMP_DECLSPEC void mpq_div (mpq_ptr, mpq_srcptr, mpq_srcptr);
   1162 
   1163 #define mpq_div_2exp __gmpq_div_2exp
   1164 __GMP_DECLSPEC void mpq_div_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
   1165 
   1166 #define mpq_equal __gmpq_equal
   1167 __GMP_DECLSPEC int mpq_equal (mpq_srcptr, mpq_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1168 
   1169 #define mpq_get_num __gmpq_get_num
   1170 __GMP_DECLSPEC void mpq_get_num (mpz_ptr, mpq_srcptr);
   1171 
   1172 #define mpq_get_den __gmpq_get_den
   1173 __GMP_DECLSPEC void mpq_get_den (mpz_ptr, mpq_srcptr);
   1174 
   1175 #define mpq_get_d __gmpq_get_d
   1176 __GMP_DECLSPEC double mpq_get_d (mpq_srcptr) __GMP_ATTRIBUTE_PURE;
   1177 
   1178 #define mpq_get_str __gmpq_get_str
   1179 __GMP_DECLSPEC char *mpq_get_str (char *, int, mpq_srcptr);
   1180 
   1181 #define mpq_init __gmpq_init
   1182 __GMP_DECLSPEC void mpq_init (mpq_ptr);
   1183 
   1184 #define mpq_inits __gmpq_inits
   1185 __GMP_DECLSPEC void mpq_inits (mpq_ptr, ...);
   1186 
   1187 #define mpq_inp_str __gmpq_inp_str
   1188 #ifdef _GMP_H_HAVE_FILE
   1189 __GMP_DECLSPEC size_t mpq_inp_str (mpq_ptr, FILE *, int);
   1190 #endif
   1191 
   1192 #define mpq_inv __gmpq_inv
   1193 __GMP_DECLSPEC void mpq_inv (mpq_ptr, mpq_srcptr);
   1194 
   1195 #define mpq_mul __gmpq_mul
   1196 __GMP_DECLSPEC void mpq_mul (mpq_ptr, mpq_srcptr, mpq_srcptr);
   1197 
   1198 #define mpq_mul_2exp __gmpq_mul_2exp
   1199 __GMP_DECLSPEC void mpq_mul_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
   1200 
   1201 #define mpq_neg __gmpq_neg
   1202 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_neg)
   1203 __GMP_DECLSPEC void mpq_neg (mpq_ptr, mpq_srcptr);
   1204 #endif
   1205 
   1206 #define mpq_out_str __gmpq_out_str
   1207 #ifdef _GMP_H_HAVE_FILE
   1208 __GMP_DECLSPEC size_t mpq_out_str (FILE *, int, mpq_srcptr);
   1209 #endif
   1210 
   1211 #define mpq_set __gmpq_set
   1212 __GMP_DECLSPEC void mpq_set (mpq_ptr, mpq_srcptr);
   1213 
   1214 #define mpq_set_d __gmpq_set_d
   1215 __GMP_DECLSPEC void mpq_set_d (mpq_ptr, double);
   1216 
   1217 #define mpq_set_den __gmpq_set_den
   1218 __GMP_DECLSPEC void mpq_set_den (mpq_ptr, mpz_srcptr);
   1219 
   1220 #define mpq_set_f __gmpq_set_f
   1221 __GMP_DECLSPEC void mpq_set_f (mpq_ptr, mpf_srcptr);
   1222 
   1223 #define mpq_set_num __gmpq_set_num
   1224 __GMP_DECLSPEC void mpq_set_num (mpq_ptr, mpz_srcptr);
   1225 
   1226 #define mpq_set_si __gmpq_set_si
   1227 __GMP_DECLSPEC void mpq_set_si (mpq_ptr, signed long int, unsigned long int);
   1228 
   1229 #define mpq_set_str __gmpq_set_str
   1230 __GMP_DECLSPEC int mpq_set_str (mpq_ptr, const char *, int);
   1231 
   1232 #define mpq_set_ui __gmpq_set_ui
   1233 __GMP_DECLSPEC void mpq_set_ui (mpq_ptr, unsigned long int, unsigned long int);
   1234 
   1235 #define mpq_set_z __gmpq_set_z
   1236 __GMP_DECLSPEC void mpq_set_z (mpq_ptr, mpz_srcptr);
   1237 
   1238 #define mpq_sub __gmpq_sub
   1239 __GMP_DECLSPEC void mpq_sub (mpq_ptr, mpq_srcptr, mpq_srcptr);
   1240 
   1241 #define mpq_swap __gmpq_swap
   1242 __GMP_DECLSPEC void mpq_swap (mpq_ptr, mpq_ptr) __GMP_NOTHROW;
   1243 
   1244 
   1245 /**************** Float (i.e. F) routines.  ****************/
   1246 
   1247 #define mpf_abs __gmpf_abs
   1248 __GMP_DECLSPEC void mpf_abs (mpf_ptr, mpf_srcptr);
   1249 
   1250 #define mpf_add __gmpf_add
   1251 __GMP_DECLSPEC void mpf_add (mpf_ptr, mpf_srcptr, mpf_srcptr);
   1252 
   1253 #define mpf_add_ui __gmpf_add_ui
   1254 __GMP_DECLSPEC void mpf_add_ui (mpf_ptr, mpf_srcptr, unsigned long int);
   1255 #define mpf_ceil __gmpf_ceil
   1256 __GMP_DECLSPEC void mpf_ceil (mpf_ptr, mpf_srcptr);
   1257 
   1258 #define mpf_clear __gmpf_clear
   1259 __GMP_DECLSPEC void mpf_clear (mpf_ptr);
   1260 
   1261 #define mpf_clears __gmpf_clears
   1262 __GMP_DECLSPEC void mpf_clears (mpf_ptr, ...);
   1263 
   1264 #define mpf_cmp __gmpf_cmp
   1265 __GMP_DECLSPEC int mpf_cmp (mpf_srcptr, mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1266 
   1267 #define mpf_cmp_z __gmpf_cmp_z
   1268 __GMP_DECLSPEC int mpf_cmp_z (mpf_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1269 
   1270 #define mpf_cmp_d __gmpf_cmp_d
   1271 __GMP_DECLSPEC int mpf_cmp_d (mpf_srcptr, double) __GMP_ATTRIBUTE_PURE;
   1272 
   1273 #define mpf_cmp_si __gmpf_cmp_si
   1274 __GMP_DECLSPEC int mpf_cmp_si (mpf_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1275 
   1276 #define mpf_cmp_ui __gmpf_cmp_ui
   1277 __GMP_DECLSPEC int mpf_cmp_ui (mpf_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1278 
   1279 #define mpf_div __gmpf_div
   1280 __GMP_DECLSPEC void mpf_div (mpf_ptr, mpf_srcptr, mpf_srcptr);
   1281 
   1282 #define mpf_div_2exp __gmpf_div_2exp
   1283 __GMP_DECLSPEC void mpf_div_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
   1284 
   1285 #define mpf_div_ui __gmpf_div_ui
   1286 __GMP_DECLSPEC void mpf_div_ui (mpf_ptr, mpf_srcptr, unsigned long int);
   1287 
   1288 #define mpf_dump __gmpf_dump
   1289 __GMP_DECLSPEC void mpf_dump (mpf_srcptr);
   1290 
   1291 #define mpf_eq __gmpf_eq
   1292 __GMP_DECLSPEC int mpf_eq (mpf_srcptr, mpf_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
   1293 
   1294 #define mpf_fits_sint_p __gmpf_fits_sint_p
   1295 __GMP_DECLSPEC int mpf_fits_sint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1296 
   1297 #define mpf_fits_slong_p __gmpf_fits_slong_p
   1298 __GMP_DECLSPEC int mpf_fits_slong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1299 
   1300 #define mpf_fits_sshort_p __gmpf_fits_sshort_p
   1301 __GMP_DECLSPEC int mpf_fits_sshort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1302 
   1303 #define mpf_fits_uint_p __gmpf_fits_uint_p
   1304 __GMP_DECLSPEC int mpf_fits_uint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1305 
   1306 #define mpf_fits_ulong_p __gmpf_fits_ulong_p
   1307 __GMP_DECLSPEC int mpf_fits_ulong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1308 
   1309 #define mpf_fits_ushort_p __gmpf_fits_ushort_p
   1310 __GMP_DECLSPEC int mpf_fits_ushort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1311 
   1312 #define mpf_floor __gmpf_floor
   1313 __GMP_DECLSPEC void mpf_floor (mpf_ptr, mpf_srcptr);
   1314 
   1315 #define mpf_get_d __gmpf_get_d
   1316 __GMP_DECLSPEC double mpf_get_d (mpf_srcptr) __GMP_ATTRIBUTE_PURE;
   1317 
   1318 #define mpf_get_d_2exp __gmpf_get_d_2exp
   1319 __GMP_DECLSPEC double mpf_get_d_2exp (signed long int *, mpf_srcptr);
   1320 
   1321 #define mpf_get_default_prec __gmpf_get_default_prec
   1322 __GMP_DECLSPEC mp_bitcnt_t mpf_get_default_prec (void) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1323 
   1324 #define mpf_get_prec __gmpf_get_prec
   1325 __GMP_DECLSPEC mp_bitcnt_t mpf_get_prec (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1326 
   1327 #define mpf_get_si __gmpf_get_si
   1328 __GMP_DECLSPEC long mpf_get_si (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1329 
   1330 #define mpf_get_str __gmpf_get_str
   1331 __GMP_DECLSPEC char *mpf_get_str (char *, mp_exp_t *, int, size_t, mpf_srcptr);
   1332 
   1333 #define mpf_get_ui __gmpf_get_ui
   1334 __GMP_DECLSPEC unsigned long mpf_get_ui (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1335 
   1336 #define mpf_init __gmpf_init
   1337 __GMP_DECLSPEC void mpf_init (mpf_ptr);
   1338 
   1339 #define mpf_init2 __gmpf_init2
   1340 __GMP_DECLSPEC void mpf_init2 (mpf_ptr, mp_bitcnt_t);
   1341 
   1342 #define mpf_inits __gmpf_inits
   1343 __GMP_DECLSPEC void mpf_inits (mpf_ptr, ...);
   1344 
   1345 #define mpf_init_set __gmpf_init_set
   1346 __GMP_DECLSPEC void mpf_init_set (mpf_ptr, mpf_srcptr);
   1347 
   1348 #define mpf_init_set_d __gmpf_init_set_d
   1349 __GMP_DECLSPEC void mpf_init_set_d (mpf_ptr, double);
   1350 
   1351 #define mpf_init_set_si __gmpf_init_set_si
   1352 __GMP_DECLSPEC void mpf_init_set_si (mpf_ptr, signed long int);
   1353 
   1354 #define mpf_init_set_str __gmpf_init_set_str
   1355 __GMP_DECLSPEC int mpf_init_set_str (mpf_ptr, const char *, int);
   1356 
   1357 #define mpf_init_set_ui __gmpf_init_set_ui
   1358 __GMP_DECLSPEC void mpf_init_set_ui (mpf_ptr, unsigned long int);
   1359 
   1360 #define mpf_inp_str __gmpf_inp_str
   1361 #ifdef _GMP_H_HAVE_FILE
   1362 __GMP_DECLSPEC size_t mpf_inp_str (mpf_ptr, FILE *, int);
   1363 #endif
   1364 
   1365 #define mpf_integer_p __gmpf_integer_p
   1366 __GMP_DECLSPEC int mpf_integer_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1367 
   1368 #define mpf_mul __gmpf_mul
   1369 __GMP_DECLSPEC void mpf_mul (mpf_ptr, mpf_srcptr, mpf_srcptr);
   1370 
   1371 #define mpf_mul_2exp __gmpf_mul_2exp
   1372 __GMP_DECLSPEC void mpf_mul_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
   1373 
   1374 #define mpf_mul_ui __gmpf_mul_ui
   1375 __GMP_DECLSPEC void mpf_mul_ui (mpf_ptr, mpf_srcptr, unsigned long int);
   1376 
   1377 #define mpf_neg __gmpf_neg
   1378 __GMP_DECLSPEC void mpf_neg (mpf_ptr, mpf_srcptr);
   1379 
   1380 #define mpf_out_str __gmpf_out_str
   1381 #ifdef _GMP_H_HAVE_FILE
   1382 __GMP_DECLSPEC size_t mpf_out_str (FILE *, int, size_t, mpf_srcptr);
   1383 #endif
   1384 
   1385 #define mpf_pow_ui __gmpf_pow_ui
   1386 __GMP_DECLSPEC void mpf_pow_ui (mpf_ptr, mpf_srcptr, unsigned long int);
   1387 
   1388 #define mpf_random2 __gmpf_random2
   1389 __GMP_DECLSPEC void mpf_random2 (mpf_ptr, mp_size_t, mp_exp_t);
   1390 
   1391 #define mpf_reldiff __gmpf_reldiff
   1392 __GMP_DECLSPEC void mpf_reldiff (mpf_ptr, mpf_srcptr, mpf_srcptr);
   1393 
   1394 #define mpf_set __gmpf_set
   1395 __GMP_DECLSPEC void mpf_set (mpf_ptr, mpf_srcptr);
   1396 
   1397 #define mpf_set_d __gmpf_set_d
   1398 __GMP_DECLSPEC void mpf_set_d (mpf_ptr, double);
   1399 
   1400 #define mpf_set_default_prec __gmpf_set_default_prec
   1401 __GMP_DECLSPEC void mpf_set_default_prec (mp_bitcnt_t) __GMP_NOTHROW;
   1402 
   1403 #define mpf_set_prec __gmpf_set_prec
   1404 __GMP_DECLSPEC void mpf_set_prec (mpf_ptr, mp_bitcnt_t);
   1405 
   1406 #define mpf_set_prec_raw __gmpf_set_prec_raw
   1407 __GMP_DECLSPEC void mpf_set_prec_raw (mpf_ptr, mp_bitcnt_t) __GMP_NOTHROW;
   1408 
   1409 #define mpf_set_q __gmpf_set_q
   1410 __GMP_DECLSPEC void mpf_set_q (mpf_ptr, mpq_srcptr);
   1411 
   1412 #define mpf_set_si __gmpf_set_si
   1413 __GMP_DECLSPEC void mpf_set_si (mpf_ptr, signed long int);
   1414 
   1415 #define mpf_set_str __gmpf_set_str
   1416 __GMP_DECLSPEC int mpf_set_str (mpf_ptr, const char *, int);
   1417 
   1418 #define mpf_set_ui __gmpf_set_ui
   1419 __GMP_DECLSPEC void mpf_set_ui (mpf_ptr, unsigned long int);
   1420 
   1421 #define mpf_set_z __gmpf_set_z
   1422 __GMP_DECLSPEC void mpf_set_z (mpf_ptr, mpz_srcptr);
   1423 
   1424 #define mpf_size __gmpf_size
   1425 __GMP_DECLSPEC size_t mpf_size (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1426 
   1427 #define mpf_sqrt __gmpf_sqrt
   1428 __GMP_DECLSPEC void mpf_sqrt (mpf_ptr, mpf_srcptr);
   1429 
   1430 #define mpf_sqrt_ui __gmpf_sqrt_ui
   1431 __GMP_DECLSPEC void mpf_sqrt_ui (mpf_ptr, unsigned long int);
   1432 
   1433 #define mpf_sub __gmpf_sub
   1434 __GMP_DECLSPEC void mpf_sub (mpf_ptr, mpf_srcptr, mpf_srcptr);
   1435 
   1436 #define mpf_sub_ui __gmpf_sub_ui
   1437 __GMP_DECLSPEC void mpf_sub_ui (mpf_ptr, mpf_srcptr, unsigned long int);
   1438 
   1439 #define mpf_swap __gmpf_swap
   1440 __GMP_DECLSPEC void mpf_swap (mpf_ptr, mpf_ptr) __GMP_NOTHROW;
   1441 
   1442 #define mpf_trunc __gmpf_trunc
   1443 __GMP_DECLSPEC void mpf_trunc (mpf_ptr, mpf_srcptr);
   1444 
   1445 #define mpf_ui_div __gmpf_ui_div
   1446 __GMP_DECLSPEC void mpf_ui_div (mpf_ptr, unsigned long int, mpf_srcptr);
   1447 
   1448 #define mpf_ui_sub __gmpf_ui_sub
   1449 __GMP_DECLSPEC void mpf_ui_sub (mpf_ptr, unsigned long int, mpf_srcptr);
   1450 
   1451 #define mpf_urandomb __gmpf_urandomb
   1452 __GMP_DECLSPEC void mpf_urandomb (mpf_t, gmp_randstate_t, mp_bitcnt_t);
   1453 
   1454 
   1455 /************ Low level positive-integer (i.e. N) routines.  ************/
   1456 
   1457 /* This is ugly, but we need to make user calls reach the prefixed function. */
   1458 
   1459 #define mpn_add __MPN(add)
   1460 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add)
   1461 __GMP_DECLSPEC mp_limb_t mpn_add (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
   1462 #endif
   1463 
   1464 #define mpn_add_1 __MPN(add_1)
   1465 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add_1)
   1466 __GMP_DECLSPEC mp_limb_t mpn_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
   1467 #endif
   1468 
   1469 #define mpn_add_n __MPN(add_n)
   1470 __GMP_DECLSPEC mp_limb_t mpn_add_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1471 
   1472 #define mpn_addmul_1 __MPN(addmul_1)
   1473 __GMP_DECLSPEC mp_limb_t mpn_addmul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
   1474 
   1475 #define mpn_cmp __MPN(cmp)
   1476 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_cmp)
   1477 __GMP_DECLSPEC int mpn_cmp (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1478 #endif
   1479 
   1480 #define mpn_zero_p __MPN(zero_p)
   1481 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_zero_p)
   1482 __GMP_DECLSPEC int mpn_zero_p (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1483 #endif
   1484 
   1485 #define mpn_divexact_1 __MPN(divexact_1)
   1486 __GMP_DECLSPEC void mpn_divexact_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
   1487 
   1488 #define mpn_divexact_by3(dst,src,size) \
   1489   mpn_divexact_by3c (dst, src, size, __GMP_CAST (mp_limb_t, 0))
   1490 
   1491 #define mpn_divexact_by3c __MPN(divexact_by3c)
   1492 __GMP_DECLSPEC mp_limb_t mpn_divexact_by3c (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
   1493 
   1494 #define mpn_divmod_1(qp,np,nsize,dlimb) \
   1495   mpn_divrem_1 (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dlimb)
   1496 
   1497 #define mpn_divrem __MPN(divrem)
   1498 __GMP_DECLSPEC mp_limb_t mpn_divrem (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t);
   1499 
   1500 #define mpn_divrem_1 __MPN(divrem_1)
   1501 __GMP_DECLSPEC mp_limb_t mpn_divrem_1 (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t);
   1502 
   1503 #define mpn_divrem_2 __MPN(divrem_2)
   1504 __GMP_DECLSPEC mp_limb_t mpn_divrem_2 (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr);
   1505 
   1506 #define mpn_div_qr_1 __MPN(div_qr_1)
   1507 __GMP_DECLSPEC mp_limb_t mpn_div_qr_1 (mp_ptr, mp_limb_t *, mp_srcptr, mp_size_t, mp_limb_t);
   1508 
   1509 #define mpn_div_qr_2 __MPN(div_qr_2)
   1510 __GMP_DECLSPEC mp_limb_t mpn_div_qr_2 (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
   1511 
   1512 #define mpn_gcd __MPN(gcd)
   1513 __GMP_DECLSPEC mp_size_t mpn_gcd (mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
   1514 
   1515 #define mpn_gcd_1 __MPN(gcd_1)
   1516 __GMP_DECLSPEC mp_limb_t mpn_gcd_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
   1517 
   1518 #define mpn_gcdext_1 __MPN(gcdext_1)
   1519 __GMP_DECLSPEC mp_limb_t mpn_gcdext_1 (mp_limb_signed_t *, mp_limb_signed_t *, mp_limb_t, mp_limb_t);
   1520 
   1521 #define mpn_gcdext __MPN(gcdext)
   1522 __GMP_DECLSPEC mp_size_t mpn_gcdext (mp_ptr, mp_ptr, mp_size_t *, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
   1523 
   1524 #define mpn_get_str __MPN(get_str)
   1525 __GMP_DECLSPEC size_t mpn_get_str (unsigned char *, int, mp_ptr, mp_size_t);
   1526 
   1527 #define mpn_hamdist __MPN(hamdist)
   1528 __GMP_DECLSPEC mp_bitcnt_t mpn_hamdist (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1529 
   1530 #define mpn_lshift __MPN(lshift)
   1531 __GMP_DECLSPEC mp_limb_t mpn_lshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
   1532 
   1533 #define mpn_mod_1 __MPN(mod_1)
   1534 __GMP_DECLSPEC mp_limb_t mpn_mod_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
   1535 
   1536 #define mpn_mul __MPN(mul)
   1537 __GMP_DECLSPEC mp_limb_t mpn_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
   1538 
   1539 #define mpn_mul_1 __MPN(mul_1)
   1540 __GMP_DECLSPEC mp_limb_t mpn_mul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
   1541 
   1542 #define mpn_mul_n __MPN(mul_n)
   1543 __GMP_DECLSPEC void mpn_mul_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1544 
   1545 #define mpn_sqr __MPN(sqr)
   1546 __GMP_DECLSPEC void mpn_sqr (mp_ptr, mp_srcptr, mp_size_t);
   1547 
   1548 #define mpn_neg __MPN(neg)
   1549 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_neg)
   1550 __GMP_DECLSPEC mp_limb_t mpn_neg (mp_ptr, mp_srcptr, mp_size_t);
   1551 #endif
   1552 
   1553 #define mpn_com __MPN(com)
   1554 __GMP_DECLSPEC void mpn_com (mp_ptr, mp_srcptr, mp_size_t);
   1555 
   1556 #define mpn_perfect_square_p __MPN(perfect_square_p)
   1557 __GMP_DECLSPEC int mpn_perfect_square_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
   1558 
   1559 #define mpn_perfect_power_p __MPN(perfect_power_p)
   1560 __GMP_DECLSPEC int mpn_perfect_power_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
   1561 
   1562 #define mpn_popcount __MPN(popcount)
   1563 __GMP_DECLSPEC mp_bitcnt_t mpn_popcount (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
   1564 
   1565 #define mpn_pow_1 __MPN(pow_1)
   1566 __GMP_DECLSPEC mp_size_t mpn_pow_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
   1567 
   1568 /* undocumented now, but retained here for upward compatibility */
   1569 #define mpn_preinv_mod_1 __MPN(preinv_mod_1)
   1570 __GMP_DECLSPEC mp_limb_t mpn_preinv_mod_1 (mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
   1571 
   1572 #define mpn_random __MPN(random)
   1573 __GMP_DECLSPEC void mpn_random (mp_ptr, mp_size_t);
   1574 
   1575 #define mpn_random2 __MPN(random2)
   1576 __GMP_DECLSPEC void mpn_random2 (mp_ptr, mp_size_t);
   1577 
   1578 #define mpn_rshift __MPN(rshift)
   1579 __GMP_DECLSPEC mp_limb_t mpn_rshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
   1580 
   1581 #define mpn_scan0 __MPN(scan0)
   1582 __GMP_DECLSPEC mp_bitcnt_t mpn_scan0 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
   1583 
   1584 #define mpn_scan1 __MPN(scan1)
   1585 __GMP_DECLSPEC mp_bitcnt_t mpn_scan1 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
   1586 
   1587 #define mpn_set_str __MPN(set_str)
   1588 __GMP_DECLSPEC mp_size_t mpn_set_str (mp_ptr, const unsigned char *, size_t, int);
   1589 
   1590 #define mpn_sizeinbase __MPN(sizeinbase)
   1591 __GMP_DECLSPEC size_t mpn_sizeinbase (mp_srcptr, mp_size_t, int);
   1592 
   1593 #define mpn_sqrtrem __MPN(sqrtrem)
   1594 __GMP_DECLSPEC mp_size_t mpn_sqrtrem (mp_ptr, mp_ptr, mp_srcptr, mp_size_t);
   1595 
   1596 #define mpn_sub __MPN(sub)
   1597 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub)
   1598 __GMP_DECLSPEC mp_limb_t mpn_sub (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
   1599 #endif
   1600 
   1601 #define mpn_sub_1 __MPN(sub_1)
   1602 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub_1)
   1603 __GMP_DECLSPEC mp_limb_t mpn_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
   1604 #endif
   1605 
   1606 #define mpn_sub_n __MPN(sub_n)
   1607 __GMP_DECLSPEC mp_limb_t mpn_sub_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1608 
   1609 #define mpn_submul_1 __MPN(submul_1)
   1610 __GMP_DECLSPEC mp_limb_t mpn_submul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
   1611 
   1612 #define mpn_tdiv_qr __MPN(tdiv_qr)
   1613 __GMP_DECLSPEC void mpn_tdiv_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
   1614 
   1615 #define mpn_and_n __MPN(and_n)
   1616 __GMP_DECLSPEC void mpn_and_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1617 #define mpn_andn_n __MPN(andn_n)
   1618 __GMP_DECLSPEC void mpn_andn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1619 #define mpn_nand_n __MPN(nand_n)
   1620 __GMP_DECLSPEC void mpn_nand_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1621 #define mpn_ior_n __MPN(ior_n)
   1622 __GMP_DECLSPEC void mpn_ior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1623 #define mpn_iorn_n __MPN(iorn_n)
   1624 __GMP_DECLSPEC void mpn_iorn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1625 #define mpn_nior_n __MPN(nior_n)
   1626 __GMP_DECLSPEC void mpn_nior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1627 #define mpn_xor_n __MPN(xor_n)
   1628 __GMP_DECLSPEC void mpn_xor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1629 #define mpn_xnor_n __MPN(xnor_n)
   1630 __GMP_DECLSPEC void mpn_xnor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1631 
   1632 #define mpn_copyi __MPN(copyi)
   1633 __GMP_DECLSPEC void mpn_copyi (mp_ptr, mp_srcptr, mp_size_t);
   1634 #define mpn_copyd __MPN(copyd)
   1635 __GMP_DECLSPEC void mpn_copyd (mp_ptr, mp_srcptr, mp_size_t);
   1636 #define mpn_zero __MPN(zero)
   1637 __GMP_DECLSPEC void mpn_zero (mp_ptr, mp_size_t);
   1638 
   1639 #define mpn_cnd_add_n __MPN(cnd_add_n)
   1640 __GMP_DECLSPEC mp_limb_t mpn_cnd_add_n (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1641 #define mpn_cnd_sub_n __MPN(cnd_sub_n)
   1642 __GMP_DECLSPEC mp_limb_t mpn_cnd_sub_n (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
   1643 
   1644 #define mpn_sec_add_1 __MPN(sec_add_1)
   1645 __GMP_DECLSPEC mp_limb_t mpn_sec_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
   1646 #define mpn_sec_add_1_itch __MPN(sec_add_1_itch)
   1647 __GMP_DECLSPEC mp_size_t mpn_sec_add_1_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
   1648 
   1649 #define mpn_sec_sub_1 __MPN(sec_sub_1)
   1650 __GMP_DECLSPEC mp_limb_t mpn_sec_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
   1651 #define mpn_sec_sub_1_itch __MPN(sec_sub_1_itch)
   1652 __GMP_DECLSPEC mp_size_t mpn_sec_sub_1_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
   1653 
   1654 #define mpn_cnd_swap  __MPN(cnd_swap)
   1655 __GMP_DECLSPEC void mpn_cnd_swap (mp_limb_t, volatile mp_limb_t *, volatile mp_limb_t *, mp_size_t);
   1656 
   1657 #define mpn_sec_mul __MPN(sec_mul)
   1658 __GMP_DECLSPEC void mpn_sec_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
   1659 #define mpn_sec_mul_itch __MPN(sec_mul_itch)
   1660 __GMP_DECLSPEC mp_size_t mpn_sec_mul_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
   1661 
   1662 #define mpn_sec_sqr __MPN(sec_sqr)
   1663 __GMP_DECLSPEC void mpn_sec_sqr (mp_ptr, mp_srcptr, mp_size_t, mp_ptr);
   1664 #define mpn_sec_sqr_itch __MPN(sec_sqr_itch)
   1665 __GMP_DECLSPEC mp_size_t mpn_sec_sqr_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
   1666 
   1667 #define mpn_sec_powm __MPN(sec_powm)
   1668 __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);
   1669 #define mpn_sec_powm_itch __MPN(sec_powm_itch)
   1670 __GMP_DECLSPEC mp_size_t mpn_sec_powm_itch (mp_size_t, mp_bitcnt_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
   1671 
   1672 #define mpn_sec_tabselect __MPN(sec_tabselect)
   1673 __GMP_DECLSPEC void mpn_sec_tabselect (volatile mp_limb_t *, volatile const mp_limb_t *, mp_size_t, mp_size_t, mp_size_t);
   1674 
   1675 #define mpn_sec_div_qr __MPN(sec_div_qr)
   1676 __GMP_DECLSPEC mp_limb_t mpn_sec_div_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
   1677 #define mpn_sec_div_qr_itch __MPN(sec_div_qr_itch)
   1678 __GMP_DECLSPEC mp_size_t mpn_sec_div_qr_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
   1679 #define mpn_sec_div_r __MPN(sec_div_r)
   1680 __GMP_DECLSPEC void mpn_sec_div_r (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
   1681 #define mpn_sec_div_r_itch __MPN(sec_div_r_itch)
   1682 __GMP_DECLSPEC mp_size_t mpn_sec_div_r_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
   1683 
   1684 #define mpn_sec_invert __MPN(sec_invert)
   1685 __GMP_DECLSPEC int mpn_sec_invert (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_bitcnt_t, mp_ptr);
   1686 #define mpn_sec_invert_itch __MPN(sec_invert_itch)
   1687 __GMP_DECLSPEC mp_size_t mpn_sec_invert_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
   1688 
   1689 
   1690 /**************** mpz inlines ****************/
   1691 
   1692 /* The following are provided as inlines where possible, but always exist as
   1693    library functions too, for binary compatibility.
   1694 
   1695    Within gmp itself this inlining generally isn't relied on, since it
   1696    doesn't get done for all compilers, whereas if something is worth
   1697    inlining then it's worth arranging always.
   1698 
   1699    There are two styles of inlining here.  When the same bit of code is
   1700    wanted for the inline as for the library version, then __GMP_FORCE_foo
   1701    arranges for that code to be emitted and the __GMP_EXTERN_INLINE
   1702    directive suppressed, eg. mpz_fits_uint_p.  When a different bit of code
   1703    is wanted for the inline than for the library version, then
   1704    __GMP_FORCE_foo arranges the inline to be suppressed, eg. mpz_abs.  */
   1705 
   1706 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_abs)
   1707 __GMP_EXTERN_INLINE void
   1708 mpz_abs (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
   1709 {
   1710   if (__gmp_w != __gmp_u)
   1711     mpz_set (__gmp_w, __gmp_u);
   1712   __gmp_w->_mp_size = __GMP_ABS (__gmp_w->_mp_size);
   1713 }
   1714 #endif
   1715 
   1716 #if GMP_NAIL_BITS == 0
   1717 #define __GMPZ_FITS_UTYPE_P(z,maxval)					\
   1718   mp_size_t  __gmp_n = z->_mp_size;					\
   1719   mp_ptr  __gmp_p = z->_mp_d;						\
   1720   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval));
   1721 #else
   1722 #define __GMPZ_FITS_UTYPE_P(z,maxval)					\
   1723   mp_size_t  __gmp_n = z->_mp_size;					\
   1724   mp_ptr  __gmp_p = z->_mp_d;						\
   1725   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval)	\
   1726 	  || (__gmp_n == 2 && __gmp_p[1] <= ((mp_limb_t) maxval >> GMP_NUMB_BITS)));
   1727 #endif
   1728 
   1729 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_uint_p)
   1730 #if ! defined (__GMP_FORCE_mpz_fits_uint_p)
   1731 __GMP_EXTERN_INLINE
   1732 #endif
   1733 int
   1734 mpz_fits_uint_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
   1735 {
   1736   __GMPZ_FITS_UTYPE_P (__gmp_z, UINT_MAX);
   1737 }
   1738 #endif
   1739 
   1740 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ulong_p)
   1741 #if ! defined (__GMP_FORCE_mpz_fits_ulong_p)
   1742 __GMP_EXTERN_INLINE
   1743 #endif
   1744 int
   1745 mpz_fits_ulong_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
   1746 {
   1747   __GMPZ_FITS_UTYPE_P (__gmp_z, ULONG_MAX);
   1748 }
   1749 #endif
   1750 
   1751 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ushort_p)
   1752 #if ! defined (__GMP_FORCE_mpz_fits_ushort_p)
   1753 __GMP_EXTERN_INLINE
   1754 #endif
   1755 int
   1756 mpz_fits_ushort_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
   1757 {
   1758   __GMPZ_FITS_UTYPE_P (__gmp_z, USHRT_MAX);
   1759 }
   1760 #endif
   1761 
   1762 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_get_ui)
   1763 #if ! defined (__GMP_FORCE_mpz_get_ui)
   1764 __GMP_EXTERN_INLINE
   1765 #endif
   1766 unsigned long
   1767 mpz_get_ui (mpz_srcptr __gmp_z) __GMP_NOTHROW
   1768 {
   1769   mp_ptr __gmp_p = __gmp_z->_mp_d;
   1770   mp_size_t __gmp_n = __gmp_z->_mp_size;
   1771   mp_limb_t __gmp_l = __gmp_p[0];
   1772   /* This is a "#if" rather than a plain "if" so as to avoid gcc warnings
   1773      about "<< GMP_NUMB_BITS" exceeding the type size, and to avoid Borland
   1774      C++ 6.0 warnings about condition always true for something like
   1775      "ULONG_MAX < GMP_NUMB_MASK".  */
   1776 #if GMP_NAIL_BITS == 0 || defined (_LONG_LONG_LIMB)
   1777   /* limb==long and no nails, or limb==longlong, one limb is enough */
   1778   return (__gmp_n != 0 ? __gmp_l : 0);
   1779 #else
   1780   /* limb==long and nails, need two limbs when available */
   1781   __gmp_n = __GMP_ABS (__gmp_n);
   1782   if (__gmp_n <= 1)
   1783     return (__gmp_n != 0 ? __gmp_l : 0);
   1784   else
   1785     return __gmp_l + (__gmp_p[1] << GMP_NUMB_BITS);
   1786 #endif
   1787 }
   1788 #endif
   1789 
   1790 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_getlimbn)
   1791 #if ! defined (__GMP_FORCE_mpz_getlimbn)
   1792 __GMP_EXTERN_INLINE
   1793 #endif
   1794 mp_limb_t
   1795 mpz_getlimbn (mpz_srcptr __gmp_z, mp_size_t __gmp_n) __GMP_NOTHROW
   1796 {
   1797   mp_limb_t  __gmp_result = 0;
   1798   if (__GMP_LIKELY (__gmp_n >= 0 && __gmp_n < __GMP_ABS (__gmp_z->_mp_size)))
   1799     __gmp_result = __gmp_z->_mp_d[__gmp_n];
   1800   return __gmp_result;
   1801 }
   1802 #endif
   1803 
   1804 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_neg)
   1805 __GMP_EXTERN_INLINE void
   1806 mpz_neg (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
   1807 {
   1808   if (__gmp_w != __gmp_u)
   1809     mpz_set (__gmp_w, __gmp_u);
   1810   __gmp_w->_mp_size = - __gmp_w->_mp_size;
   1811 }
   1812 #endif
   1813 
   1814 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_perfect_square_p)
   1815 #if ! defined (__GMP_FORCE_mpz_perfect_square_p)
   1816 __GMP_EXTERN_INLINE
   1817 #endif
   1818 int
   1819 mpz_perfect_square_p (mpz_srcptr __gmp_a)
   1820 {
   1821   mp_size_t __gmp_asize;
   1822   int       __gmp_result;
   1823 
   1824   __gmp_asize = __gmp_a->_mp_size;
   1825   __gmp_result = (__gmp_asize >= 0);  /* zero is a square, negatives are not */
   1826   if (__GMP_LIKELY (__gmp_asize > 0))
   1827     __gmp_result = mpn_perfect_square_p (__gmp_a->_mp_d, __gmp_asize);
   1828   return __gmp_result;
   1829 }
   1830 #endif
   1831 
   1832 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_popcount)
   1833 #if ! defined (__GMP_FORCE_mpz_popcount)
   1834 __GMP_EXTERN_INLINE
   1835 #endif
   1836 mp_bitcnt_t
   1837 mpz_popcount (mpz_srcptr __gmp_u) __GMP_NOTHROW
   1838 {
   1839   mp_size_t      __gmp_usize;
   1840   mp_bitcnt_t    __gmp_result;
   1841 
   1842   __gmp_usize = __gmp_u->_mp_size;
   1843   __gmp_result = (__gmp_usize < 0 ? ULONG_MAX : 0);
   1844   if (__GMP_LIKELY (__gmp_usize > 0))
   1845     __gmp_result =  mpn_popcount (__gmp_u->_mp_d, __gmp_usize);
   1846   return __gmp_result;
   1847 }
   1848 #endif
   1849 
   1850 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_set_q)
   1851 #if ! defined (__GMP_FORCE_mpz_set_q)
   1852 __GMP_EXTERN_INLINE
   1853 #endif
   1854 void
   1855 mpz_set_q (mpz_ptr __gmp_w, mpq_srcptr __gmp_u)
   1856 {
   1857   mpz_tdiv_q (__gmp_w, mpq_numref (__gmp_u), mpq_denref (__gmp_u));
   1858 }
   1859 #endif
   1860 
   1861 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_size)
   1862 #if ! defined (__GMP_FORCE_mpz_size)
   1863 __GMP_EXTERN_INLINE
   1864 #endif
   1865 size_t
   1866 mpz_size (mpz_srcptr __gmp_z) __GMP_NOTHROW
   1867 {
   1868   return __GMP_ABS (__gmp_z->_mp_size);
   1869 }
   1870 #endif
   1871 
   1872 
   1873 /**************** mpq inlines ****************/
   1874 
   1875 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_abs)
   1876 __GMP_EXTERN_INLINE void
   1877 mpq_abs (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
   1878 {
   1879   if (__gmp_w != __gmp_u)
   1880     mpq_set (__gmp_w, __gmp_u);
   1881   __gmp_w->_mp_num._mp_size = __GMP_ABS (__gmp_w->_mp_num._mp_size);
   1882 }
   1883 #endif
   1884 
   1885 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_neg)
   1886 __GMP_EXTERN_INLINE void
   1887 mpq_neg (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
   1888 {
   1889   if (__gmp_w != __gmp_u)
   1890     mpq_set (__gmp_w, __gmp_u);
   1891   __gmp_w->_mp_num._mp_size = - __gmp_w->_mp_num._mp_size;
   1892 }
   1893 #endif
   1894 
   1895 
   1896 /**************** mpn inlines ****************/
   1897 
   1898 /* The comments with __GMPN_ADD_1 below apply here too.
   1899 
   1900    The test for FUNCTION returning 0 should predict well.  If it's assumed
   1901    {yp,ysize} will usually have a random number of bits then the high limb
   1902    won't be full and a carry out will occur a good deal less than 50% of the
   1903    time.
   1904 
   1905    ysize==0 isn't a documented feature, but is used internally in a few
   1906    places.
   1907 
   1908    Producing cout last stops it using up a register during the main part of
   1909    the calculation, though gcc (as of 3.0) on an "if (mpn_add (...))"
   1910    doesn't seem able to move the true and false legs of the conditional up
   1911    to the two places cout is generated.  */
   1912 
   1913 #define __GMPN_AORS(cout, wp, xp, xsize, yp, ysize, FUNCTION, TEST)     \
   1914   do {                                                                  \
   1915     mp_size_t  __gmp_i;                                                 \
   1916     mp_limb_t  __gmp_x;                                                 \
   1917                                                                         \
   1918     /* ASSERT ((ysize) >= 0); */                                        \
   1919     /* ASSERT ((xsize) >= (ysize)); */                                  \
   1920     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, xp, xsize)); */      \
   1921     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, yp, ysize)); */      \
   1922                                                                         \
   1923     __gmp_i = (ysize);                                                  \
   1924     if (__gmp_i != 0)                                                   \
   1925       {                                                                 \
   1926         if (FUNCTION (wp, xp, yp, __gmp_i))                             \
   1927           {                                                             \
   1928             do                                                          \
   1929               {                                                         \
   1930                 if (__gmp_i >= (xsize))                                 \
   1931                   {                                                     \
   1932                     (cout) = 1;                                         \
   1933                     goto __gmp_done;                                    \
   1934                   }                                                     \
   1935                 __gmp_x = (xp)[__gmp_i];                                \
   1936               }                                                         \
   1937             while (TEST);                                               \
   1938           }                                                             \
   1939       }                                                                 \
   1940     if ((wp) != (xp))                                                   \
   1941       __GMPN_COPY_REST (wp, xp, xsize, __gmp_i);                        \
   1942     (cout) = 0;                                                         \
   1943   __gmp_done:                                                           \
   1944     ;                                                                   \
   1945   } while (0)
   1946 
   1947 #define __GMPN_ADD(cout, wp, xp, xsize, yp, ysize)              \
   1948   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_add_n,       \
   1949                (((wp)[__gmp_i++] = (__gmp_x + 1) & GMP_NUMB_MASK) == 0))
   1950 #define __GMPN_SUB(cout, wp, xp, xsize, yp, ysize)              \
   1951   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_sub_n,       \
   1952                (((wp)[__gmp_i++] = (__gmp_x - 1) & GMP_NUMB_MASK), __gmp_x == 0))
   1953 
   1954 
   1955 /* The use of __gmp_i indexing is designed to ensure a compile time src==dst
   1956    remains nice and clear to the compiler, so that __GMPN_COPY_REST can
   1957    disappear, and the load/add/store gets a chance to become a
   1958    read-modify-write on CISC CPUs.
   1959 
   1960    Alternatives:
   1961 
   1962    Using a pair of pointers instead of indexing would be possible, but gcc
   1963    isn't able to recognise compile-time src==dst in that case, even when the
   1964    pointers are incremented more or less together.  Other compilers would
   1965    very likely have similar difficulty.
   1966 
   1967    gcc could use "if (__builtin_constant_p(src==dst) && src==dst)" or
   1968    similar to detect a compile-time src==dst.  This works nicely on gcc
   1969    2.95.x, it's not good on gcc 3.0 where __builtin_constant_p(p==p) seems
   1970    to be always false, for a pointer p.  But the current code form seems
   1971    good enough for src==dst anyway.
   1972 
   1973    gcc on x86 as usual doesn't give particularly good flags handling for the
   1974    carry/borrow detection.  It's tempting to want some multi instruction asm
   1975    blocks to help it, and this was tried, but in truth there's only a few
   1976    instructions to save and any gain is all too easily lost by register
   1977    juggling setting up for the asm.  */
   1978 
   1979 #if GMP_NAIL_BITS == 0
   1980 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
   1981   do {								\
   1982     mp_size_t  __gmp_i;						\
   1983     mp_limb_t  __gmp_x, __gmp_r;                                \
   1984 								\
   1985     /* ASSERT ((n) >= 1); */					\
   1986     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
   1987 								\
   1988     __gmp_x = (src)[0];						\
   1989     __gmp_r = __gmp_x OP (v);                                   \
   1990     (dst)[0] = __gmp_r;						\
   1991     if (CB (__gmp_r, __gmp_x, (v)))                             \
   1992       {								\
   1993 	(cout) = 1;						\
   1994 	for (__gmp_i = 1; __gmp_i < (n);)                       \
   1995 	  {							\
   1996 	    __gmp_x = (src)[__gmp_i];                           \
   1997 	    __gmp_r = __gmp_x OP 1;                             \
   1998 	    (dst)[__gmp_i] = __gmp_r;                           \
   1999 	    ++__gmp_i;						\
   2000 	    if (!CB (__gmp_r, __gmp_x, 1))                      \
   2001 	      {							\
   2002 		if ((src) != (dst))				\
   2003 		  __GMPN_COPY_REST (dst, src, n, __gmp_i);      \
   2004 		(cout) = 0;					\
   2005 		break;						\
   2006 	      }							\
   2007 	  }							\
   2008       }								\
   2009     else							\
   2010       {								\
   2011 	if ((src) != (dst))					\
   2012 	  __GMPN_COPY_REST (dst, src, n, 1);			\
   2013 	(cout) = 0;						\
   2014       }								\
   2015   } while (0)
   2016 #endif
   2017 
   2018 #if GMP_NAIL_BITS >= 1
   2019 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
   2020   do {								\
   2021     mp_size_t  __gmp_i;						\
   2022     mp_limb_t  __gmp_x, __gmp_r;				\
   2023 								\
   2024     /* ASSERT ((n) >= 1); */					\
   2025     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
   2026 								\
   2027     __gmp_x = (src)[0];						\
   2028     __gmp_r = __gmp_x OP (v);					\
   2029     (dst)[0] = __gmp_r & GMP_NUMB_MASK;				\
   2030     if (__gmp_r >> GMP_NUMB_BITS != 0)				\
   2031       {								\
   2032 	(cout) = 1;						\
   2033 	for (__gmp_i = 1; __gmp_i < (n);)			\
   2034 	  {							\
   2035 	    __gmp_x = (src)[__gmp_i];				\
   2036 	    __gmp_r = __gmp_x OP 1;				\
   2037 	    (dst)[__gmp_i] = __gmp_r & GMP_NUMB_MASK;		\
   2038 	    ++__gmp_i;						\
   2039 	    if (__gmp_r >> GMP_NUMB_BITS == 0)			\
   2040 	      {							\
   2041 		if ((src) != (dst))				\
   2042 		  __GMPN_COPY_REST (dst, src, n, __gmp_i);	\
   2043 		(cout) = 0;					\
   2044 		break;						\
   2045 	      }							\
   2046 	  }							\
   2047       }								\
   2048     else							\
   2049       {								\
   2050 	if ((src) != (dst))					\
   2051 	  __GMPN_COPY_REST (dst, src, n, 1);			\
   2052 	(cout) = 0;						\
   2053       }								\
   2054   } while (0)
   2055 #endif
   2056 
   2057 #define __GMPN_ADDCB(r,x,y) ((r) < (y))
   2058 #define __GMPN_SUBCB(r,x,y) ((x) < (y))
   2059 
   2060 #define __GMPN_ADD_1(cout, dst, src, n, v)	     \
   2061   __GMPN_AORS_1(cout, dst, src, n, v, +, __GMPN_ADDCB)
   2062 #define __GMPN_SUB_1(cout, dst, src, n, v)	     \
   2063   __GMPN_AORS_1(cout, dst, src, n, v, -, __GMPN_SUBCB)
   2064 
   2065 
   2066 /* Compare {xp,size} and {yp,size}, setting "result" to positive, zero or
   2067    negative.  size==0 is allowed.  On random data usually only one limb will
   2068    need to be examined to get a result, so it's worth having it inline.  */
   2069 #define __GMPN_CMP(result, xp, yp, size)                                \
   2070   do {                                                                  \
   2071     mp_size_t  __gmp_i;                                                 \
   2072     mp_limb_t  __gmp_x, __gmp_y;                                        \
   2073                                                                         \
   2074     /* ASSERT ((size) >= 0); */                                         \
   2075                                                                         \
   2076     (result) = 0;                                                       \
   2077     __gmp_i = (size);                                                   \
   2078     while (--__gmp_i >= 0)                                              \
   2079       {                                                                 \
   2080         __gmp_x = (xp)[__gmp_i];                                        \
   2081         __gmp_y = (yp)[__gmp_i];                                        \
   2082         if (__gmp_x != __gmp_y)                                         \
   2083           {                                                             \
   2084             /* Cannot use __gmp_x - __gmp_y, may overflow an "int" */   \
   2085             (result) = (__gmp_x > __gmp_y ? 1 : -1);                    \
   2086             break;                                                      \
   2087           }                                                             \
   2088       }                                                                 \
   2089   } while (0)
   2090 
   2091 
   2092 #if defined (__GMPN_COPY) && ! defined (__GMPN_COPY_REST)
   2093 #define __GMPN_COPY_REST(dst, src, size, start)                 \
   2094   do {                                                          \
   2095     /* ASSERT ((start) >= 0); */                                \
   2096     /* ASSERT ((start) <= (size)); */                           \
   2097     __GMPN_COPY ((dst)+(start), (src)+(start), (size)-(start)); \
   2098   } while (0)
   2099 #endif
   2100 
   2101 /* Copy {src,size} to {dst,size}, starting at "start".  This is designed to
   2102    keep the indexing dst[j] and src[j] nice and simple for __GMPN_ADD_1,
   2103    __GMPN_ADD, etc.  */
   2104 #if ! defined (__GMPN_COPY_REST)
   2105 #define __GMPN_COPY_REST(dst, src, size, start)                 \
   2106   do {                                                          \
   2107     mp_size_t __gmp_j;                                          \
   2108     /* ASSERT ((size) >= 0); */                                 \
   2109     /* ASSERT ((start) >= 0); */                                \
   2110     /* ASSERT ((start) <= (size)); */                           \
   2111     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */     \
   2112     __GMP_CRAY_Pragma ("_CRI ivdep");                           \
   2113     for (__gmp_j = (start); __gmp_j < (size); __gmp_j++)        \
   2114       (dst)[__gmp_j] = (src)[__gmp_j];                          \
   2115   } while (0)
   2116 #endif
   2117 
   2118 /* Enhancement: Use some of the smarter code from gmp-impl.h.  Maybe use
   2119    mpn_copyi if there's a native version, and if we don't mind demanding
   2120    binary compatibility for it (on targets which use it).  */
   2121 
   2122 #if ! defined (__GMPN_COPY)
   2123 #define __GMPN_COPY(dst, src, size)   __GMPN_COPY_REST (dst, src, size, 0)
   2124 #endif
   2125 
   2126 
   2127 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add)
   2128 #if ! defined (__GMP_FORCE_mpn_add)
   2129 __GMP_EXTERN_INLINE
   2130 #endif
   2131 mp_limb_t
   2132 mpn_add (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
   2133 {
   2134   mp_limb_t  __gmp_c;
   2135   __GMPN_ADD (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
   2136   return __gmp_c;
   2137 }
   2138 #endif
   2139 
   2140 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add_1)
   2141 #if ! defined (__GMP_FORCE_mpn_add_1)
   2142 __GMP_EXTERN_INLINE
   2143 #endif
   2144 mp_limb_t
   2145 mpn_add_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
   2146 {
   2147   mp_limb_t  __gmp_c;
   2148   __GMPN_ADD_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
   2149   return __gmp_c;
   2150 }
   2151 #endif
   2152 
   2153 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_cmp)
   2154 #if ! defined (__GMP_FORCE_mpn_cmp)
   2155 __GMP_EXTERN_INLINE
   2156 #endif
   2157 int
   2158 mpn_cmp (mp_srcptr __gmp_xp, mp_srcptr __gmp_yp, mp_size_t __gmp_size) __GMP_NOTHROW
   2159 {
   2160   int __gmp_result;
   2161   __GMPN_CMP (__gmp_result, __gmp_xp, __gmp_yp, __gmp_size);
   2162   return __gmp_result;
   2163 }
   2164 #endif
   2165 
   2166 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_zero_p)
   2167 #if ! defined (__GMP_FORCE_mpn_zero_p)
   2168 __GMP_EXTERN_INLINE
   2169 #endif
   2170 int
   2171 mpn_zero_p (mp_srcptr __gmp_p, mp_size_t __gmp_n) __GMP_NOTHROW
   2172 {
   2173   /* if (__GMP_LIKELY (__gmp_n > 0)) */
   2174     do {
   2175       if (__gmp_p[--__gmp_n] != 0)
   2176 	return 0;
   2177     } while (__gmp_n != 0);
   2178   return 1;
   2179 }
   2180 #endif
   2181 
   2182 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub)
   2183 #if ! defined (__GMP_FORCE_mpn_sub)
   2184 __GMP_EXTERN_INLINE
   2185 #endif
   2186 mp_limb_t
   2187 mpn_sub (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
   2188 {
   2189   mp_limb_t  __gmp_c;
   2190   __GMPN_SUB (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
   2191   return __gmp_c;
   2192 }
   2193 #endif
   2194 
   2195 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub_1)
   2196 #if ! defined (__GMP_FORCE_mpn_sub_1)
   2197 __GMP_EXTERN_INLINE
   2198 #endif
   2199 mp_limb_t
   2200 mpn_sub_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
   2201 {
   2202   mp_limb_t  __gmp_c;
   2203   __GMPN_SUB_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
   2204   return __gmp_c;
   2205 }
   2206 #endif
   2207 
   2208 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_neg)
   2209 #if ! defined (__GMP_FORCE_mpn_neg)
   2210 __GMP_EXTERN_INLINE
   2211 #endif
   2212 mp_limb_t
   2213 mpn_neg (mp_ptr __gmp_rp, mp_srcptr __gmp_up, mp_size_t __gmp_n)
   2214 {
   2215   while (*__gmp_up == 0) /* Low zero limbs are unchanged by negation. */
   2216     {
   2217       *__gmp_rp = 0;
   2218       if (!--__gmp_n) /* All zero */
   2219 	return 0;
   2220       ++__gmp_up; ++__gmp_rp;
   2221     }
   2222 
   2223   *__gmp_rp = (- *__gmp_up) & GMP_NUMB_MASK;
   2224 
   2225   if (--__gmp_n) /* Higher limbs get complemented. */
   2226     mpn_com (++__gmp_rp, ++__gmp_up, __gmp_n);
   2227 
   2228   return 1;
   2229 }
   2230 #endif
   2231 
   2232 #if defined (__cplusplus)
   2233 }
   2234 #endif
   2235 
   2236 
   2237 /* Allow faster testing for negative, zero, and positive.  */
   2238 #define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0)
   2239 #define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0)
   2240 #define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0)
   2241 
   2242 /* When using GCC, optimize certain common comparisons.  */
   2243 #if defined (__GNUC__) && __GNUC__ >= 2
   2244 #define mpz_cmp_ui(Z,UI) \
   2245   (__builtin_constant_p (UI) && (UI) == 0				\
   2246    ? mpz_sgn (Z) : _mpz_cmp_ui (Z,UI))
   2247 #define mpz_cmp_si(Z,SI)						\
   2248   (__builtin_constant_p ((SI) >= 0) && (SI) >= 0			\
   2249    ? mpz_cmp_ui (Z, __GMP_CAST (unsigned long, SI))			\
   2250    : _mpz_cmp_si (Z,SI))
   2251 #define mpq_cmp_ui(Q,NUI,DUI)					\
   2252   (__builtin_constant_p (NUI) && (NUI) == 0 ? mpq_sgn (Q)	\
   2253    : __builtin_constant_p ((NUI) == (DUI)) && (NUI) == (DUI)	\
   2254    ? mpz_cmp (mpq_numref (Q), mpq_denref (Q))			\
   2255    : _mpq_cmp_ui (Q,NUI,DUI))
   2256 #define mpq_cmp_si(q,n,d)				\
   2257   (__builtin_constant_p ((n) >= 0) && (n) >= 0		\
   2258    ? mpq_cmp_ui (q, __GMP_CAST (unsigned long, n), d)	\
   2259    : _mpq_cmp_si (q, n, d))
   2260 #else
   2261 #define mpz_cmp_ui(Z,UI) _mpz_cmp_ui (Z,UI)
   2262 #define mpz_cmp_si(Z,UI) _mpz_cmp_si (Z,UI)
   2263 #define mpq_cmp_ui(Q,NUI,DUI) _mpq_cmp_ui (Q,NUI,DUI)
   2264 #define mpq_cmp_si(q,n,d)  _mpq_cmp_si(q,n,d)
   2265 #endif
   2266 
   2267 
   2268 /* Using "&" rather than "&&" means these can come out branch-free.  Every
   2269    mpz_t has at least one limb allocated, so fetching the low limb is always
   2270    allowed.  */
   2271 #define mpz_odd_p(z)   (((z)->_mp_size != 0) & __GMP_CAST (int, (z)->_mp_d[0]))
   2272 #define mpz_even_p(z)  (! mpz_odd_p (z))
   2273 
   2274 
   2275 /**************** C++ routines ****************/
   2276 
   2277 #ifdef __cplusplus
   2278 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpz_srcptr);
   2279 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpq_srcptr);
   2280 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpf_srcptr);
   2281 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpz_ptr);
   2282 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpq_ptr);
   2283 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpf_ptr);
   2284 #endif
   2285 
   2286 
   2287 /* Source-level compatibility with GMP 2 and earlier. */
   2288 #define mpn_divmod(qp,np,nsize,dp,dsize) \
   2289   mpn_divrem (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dp, dsize)
   2290 
   2291 /* Source-level compatibility with GMP 1.  */
   2292 #define mpz_mdiv	mpz_fdiv_q
   2293 #define mpz_mdivmod	mpz_fdiv_qr
   2294 #define mpz_mmod	mpz_fdiv_r
   2295 #define mpz_mdiv_ui	mpz_fdiv_q_ui
   2296 #define mpz_mdivmod_ui(q,r,n,d) \
   2297   (((r) == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d))
   2298 #define mpz_mmod_ui(r,n,d) \
   2299   (((r) == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d))
   2300 
   2301 /* Useful synonyms, but not quite compatible with GMP 1.  */
   2302 #define mpz_div		mpz_fdiv_q
   2303 #define mpz_divmod	mpz_fdiv_qr
   2304 #define mpz_div_ui	mpz_fdiv_q_ui
   2305 #define mpz_divmod_ui	mpz_fdiv_qr_ui
   2306 #define mpz_div_2exp	mpz_fdiv_q_2exp
   2307 #define mpz_mod_2exp	mpz_fdiv_r_2exp
   2308 
   2309 enum
   2310 {
   2311   GMP_ERROR_NONE = 0,
   2312   GMP_ERROR_UNSUPPORTED_ARGUMENT = 1,
   2313   GMP_ERROR_DIVISION_BY_ZERO = 2,
   2314   GMP_ERROR_SQRT_OF_NEGATIVE = 4,
   2315   GMP_ERROR_INVALID_ARGUMENT = 8
   2316 };
   2317 
   2318 /* Define CC and CFLAGS which were used to build this version of GMP */
   2319 #define __GMP_CC "gcc"
   2320 #define __GMP_CFLAGS "-O2 -pedantic -mabi=32"
   2321 
   2322 /* Major version number is the value of __GNU_MP__ too, above. */
   2323 #define __GNU_MP_VERSION            6
   2324 #define __GNU_MP_VERSION_MINOR      1
   2325 #define __GNU_MP_VERSION_PATCHLEVEL 2
   2326 #define __GNU_MP_RELEASE (__GNU_MP_VERSION * 10000 + __GNU_MP_VERSION_MINOR * 100 + __GNU_MP_VERSION_PATCHLEVEL)
   2327 
   2328 #define __GMP_H__
   2329 #endif /* __GMP_H__ */
   2330