1/* Definitions for GNU multiple precision functions.   -*- mode: c -*-
2
3Copyright 1991, 1993-1997, 1999-2016, 2020 Free Software Foundation, Inc.
4
5This file is part of the GNU MP Library.
6
7The GNU MP Library is free software; you can redistribute it and/or modify
8it 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
14or
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
20or both in parallel, as here.
21
22The GNU MP Library is distributed in the hope that it will be useful, but
23WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
24or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
25for more details.
26
27You should have received copies of the GNU General Public License and the
28GNU Lesser General Public License along with the GNU MP Library.  If not,
29see 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
134typedef unsigned int		mp_limb_t;
135typedef int			mp_limb_signed_t;
136#else
137#ifdef _LONG_LONG_LIMB
138typedef unsigned long long int	mp_limb_t;
139typedef long long int		mp_limb_signed_t;
140#else
141typedef unsigned long int	mp_limb_t;
142typedef long int		mp_limb_signed_t;
143#endif
144#endif
145typedef 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.  */
150typedef 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
163typedef __mpz_struct MP_INT;    /* gmp 1 source compatibility */
164typedef __mpz_struct mpz_t[1];
165
166typedef mp_limb_t *		mp_ptr;
167typedef 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
171typedef int			mp_size_t;
172typedef int			mp_exp_t;
173#else
174#define __GMP_MP_SIZE_T_INT     0
175typedef long int		mp_size_t;
176typedef long int		mp_exp_t;
177#endif
178
179typedef struct
180{
181  __mpz_struct _mp_num;
182  __mpz_struct _mp_den;
183} __mpq_struct;
184
185typedef __mpq_struct MP_RAT;    /* gmp 1 source compatibility */
186typedef __mpq_struct mpq_t[1];
187
188typedef 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; */
202typedef __mpf_struct mpf_t[1];
203
204/* Available random number generation algorithms.  */
205typedef 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.  */
212typedef 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;
220typedef __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 ??? */
224typedef const __mpz_struct *mpz_srcptr;
225typedef __mpz_struct *mpz_ptr;
226typedef const __mpf_struct *mpf_srcptr;
227typedef __mpf_struct *mpf_ptr;
228typedef const __mpq_struct *mpq_srcptr;
229typedef __mpq_struct *mpq_ptr;
230
231
232#if __GMP_LIBGMP_DLL
233#ifdef __GMP_WITHIN_GMPXX
234/* compiling to go into a DLL libgmpxx */
235#define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_EXPORT
236#else
237/* compiling to go into a application which will link to a DLL libgmpxx */
238#define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_IMPORT
239#endif
240#else
241/* all other cases */
242#define __GMP_DECLSPEC_XX
243#endif
244
245
246#ifndef __MPN
247#define __MPN(x) __gmpn_##x
248#endif
249
250/* For reference, "defined(EOF)" cannot be used here.  In g++ 2.95.4,
251   <iostream> defines EOF but not FILE.  */
252#if defined (FILE)                                              \
253  || defined (H_STDIO)                                          \
254  || defined (_H_STDIO)               /* AIX */                 \
255  || defined (_STDIO_H)               /* glibc, Sun, SCO */     \
256  || defined (_STDIO_H_)              /* BSD, OSF */            \
257  || defined (__STDIO_H)              /* Borland */             \
258  || defined (__STDIO_H__)            /* IRIX */                \
259  || defined (_STDIO_INCLUDED)        /* HPUX */                \
260  || defined (__dj_include_stdio_h_)  /* DJGPP */               \
261  || defined (_FILE_DEFINED)          /* Microsoft */           \
262  || defined (__STDIO__)              /* Apple MPW MrC */       \
263  || defined (_MSL_STDIO_H)           /* Metrowerks */          \
264  || defined (_STDIO_H_INCLUDED)      /* QNX4 */		\
265  || defined (_ISO_STDIO_ISO_H)       /* Sun C++ */		\
266  || defined (__STDIO_LOADED)         /* VMS */			\
267  || defined (__DEFINED_FILE)         /* musl */
268#define _GMP_H_HAVE_FILE 1
269#endif
270
271/* In ISO C, if a prototype involving "struct obstack *" is given without
272   that structure defined, then the struct is scoped down to just the
273   prototype, causing a conflict if it's subsequently defined for real.  So
274   only give prototypes if we've got obstack.h.  */
275#if defined (_OBSTACK_H)   /* glibc <obstack.h> */
276#define _GMP_H_HAVE_OBSTACK 1
277#endif
278
279/* The prototypes for gmp_vprintf etc are provided only if va_list is defined,
280   via an application having included <stdarg.h>.  Usually va_list is a typedef
281   so can't be tested directly, but C99 specifies that va_start is a macro.
282
283   <stdio.h> will define some sort of va_list for vprintf and vfprintf, but
284   let's not bother trying to use that since it's not standard and since
285   application uses for gmp_vprintf etc will almost certainly require the
286   whole <stdarg.h> anyway.  */
287
288#ifdef va_start
289#define _GMP_H_HAVE_VA_LIST 1
290#endif
291
292/* Test for gcc >= maj.min, as per __GNUC_PREREQ in glibc */
293#if defined (__GNUC__) && defined (__GNUC_MINOR__)
294#define __GMP_GNUC_PREREQ(maj, min) \
295  ((__GNUC__ << 16) + __GNUC_MINOR__ >= ((maj) << 16) + (min))
296#else
297#define __GMP_GNUC_PREREQ(maj, min)  0
298#endif
299
300/* "pure" is in gcc 2.96 and up, see "(gcc)Function Attributes".  Basically
301   it means a function does nothing but examine its arguments and memory
302   (global or via arguments) to generate a return value, but changes nothing
303   and has no side-effects.  __GMP_NO_ATTRIBUTE_CONST_PURE lets
304   tune/common.c etc turn this off when trying to write timing loops.  */
305#if __GMP_GNUC_PREREQ (2,96) && ! defined (__GMP_NO_ATTRIBUTE_CONST_PURE)
306#define __GMP_ATTRIBUTE_PURE   __attribute__ ((__pure__))
307#else
308#define __GMP_ATTRIBUTE_PURE
309#endif
310
311
312/* __GMP_CAST allows us to use static_cast in C++, so our macros are clean
313   to "g++ -Wold-style-cast".
314
315   Casts in "extern inline" code within an extern "C" block don't induce
316   these warnings, so __GMP_CAST only needs to be used on documented
317   macros.  */
318
319#ifdef __cplusplus
320#define __GMP_CAST(type, expr)  (static_cast<type> (expr))
321#else
322#define __GMP_CAST(type, expr)  ((type) (expr))
323#endif
324
325
326/* An empty "throw ()" means the function doesn't throw any C++ exceptions,
327   this can save some stack frame info in applications.
328
329   Currently it's given only on functions which never divide-by-zero etc,
330   don't allocate memory, and are expected to never need to allocate memory.
331   This leaves open the possibility of a C++ throw from a future GMP
332   exceptions scheme.
333
334   mpz_set_ui etc are omitted to leave open the lazy allocation scheme
335   described in doc/tasks.html.  mpz_get_d etc are omitted to leave open
336   exceptions for float overflows.
337
338   Note that __GMP_NOTHROW must be given on any inlines the same as on their
339   prototypes (for g++ at least, where they're used together).  Note also
340   that g++ 3.0 demands that __GMP_NOTHROW is before other attributes like
341   __GMP_ATTRIBUTE_PURE.  */
342
343#if defined (__cplusplus)
344#if __cplusplus >= 201103L
345#define __GMP_NOTHROW  noexcept
346#else
347#define __GMP_NOTHROW  throw ()
348#endif
349#else
350#define __GMP_NOTHROW
351#endif
352
353
354/* PORTME: What other compilers have a useful "extern inline"?  "static
355   inline" would be an acceptable substitute if the compiler (or linker)
356   discards unused statics.  */
357
358 /* gcc has __inline__ in all modes, including strict ansi.  Give a prototype
359    for an inline too, so as to correctly specify "dllimport" on windows, in
360    case the function is called rather than inlined.
361    GCC 4.3 and above with -std=c99 or -std=gnu99 implements ISO C99
362    inline semantics, unless -fgnu89-inline is used.  */
363#ifdef __GNUC__
364#if (defined __GNUC_STDC_INLINE__) || \
365    (__GNUC__ == 4 && __GNUC_MINOR__ >= 2) || (__GNUC__ > 4)
366#define __GMP_EXTERN_INLINE extern __inline__ __attribute__ ((__gnu_inline__))
367#endif
368#define __GMP_INLINE_PROTOTYPES  1
369#endif
370
371/* DEC C (eg. version 5.9) supports "static __inline foo()", even in -std1
372   strict ANSI mode.  Inlining is done even when not optimizing (ie. -O0
373   mode, which is the default), but an unnecessary local copy of foo is
374   emitted unless -O is used.  "extern __inline" is accepted, but the
375   "extern" appears to be ignored, ie. it becomes a plain global function
376   but which is inlined within its file.  Don't know if all old versions of
377   DEC C supported __inline, but as a start let's do the right thing for
378   current versions.  */
379#ifdef __DECC
380#define __GMP_EXTERN_INLINE  static __inline
381#endif
382
383/* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict
384   ANSI mode (__STDC__ is 1 in that mode).  Inlining only actually takes
385   place under -O.  Without -O "foo" seems to be emitted whether it's used
386   or not, which is wasteful.  "extern inline foo()" isn't useful, the
387   "extern" is apparently ignored, so foo is inlined if possible but also
388   emitted as a global, which causes multiple definition errors when
389   building a shared libgmp.  */
390#ifdef __SCO_VERSION__
391#if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
392  && ! defined (__GMP_EXTERN_INLINE)
393#define __GMP_EXTERN_INLINE  static inline
394#endif
395#endif
396
397/* Microsoft's C compiler accepts __inline */
398#ifdef _MSC_VER
399#define __GMP_EXTERN_INLINE  __inline
400#endif
401
402/* Recent enough Sun C compilers want "inline" */
403#if defined (__SUNPRO_C) && __SUNPRO_C >= 0x560 \
404  && ! defined (__GMP_EXTERN_INLINE)
405#define __GMP_EXTERN_INLINE  inline
406#endif
407
408/* Somewhat older Sun C compilers want "static inline" */
409#if defined (__SUNPRO_C) && __SUNPRO_C >= 0x540 \
410  && ! defined (__GMP_EXTERN_INLINE)
411#define __GMP_EXTERN_INLINE  static inline
412#endif
413
414
415/* C++ always has "inline" and since it's a normal feature the linker should
416   discard duplicate non-inlined copies, or if it doesn't then that's a
417   problem for everyone, not just GMP.  */
418#if defined (__cplusplus) && ! defined (__GMP_EXTERN_INLINE)
419#define __GMP_EXTERN_INLINE  inline
420#endif
421
422/* Don't do any inlining within a configure run, since if the compiler ends
423   up emitting copies of the code into the object file it can end up
424   demanding the various support routines (like mpn_popcount) for linking,
425   making the "alloca" test and perhaps others fail.  And on hppa ia64 a
426   pre-release gcc 3.2 was seen not respecting the "extern" in "extern
427   __inline__", triggering this problem too.  */
428#if defined (__GMP_WITHIN_CONFIGURE) && ! __GMP_WITHIN_CONFIGURE_INLINE
429#undef __GMP_EXTERN_INLINE
430#endif
431
432/* By default, don't give a prototype when there's going to be an inline
433   version.  Note in particular that Cray C++ objects to the combination of
434   prototype and inline.  */
435#ifdef __GMP_EXTERN_INLINE
436#ifndef __GMP_INLINE_PROTOTYPES
437#define __GMP_INLINE_PROTOTYPES  0
438#endif
439#else
440#define __GMP_INLINE_PROTOTYPES  1
441#endif
442
443
444#define __GMP_ABS(x)   ((x) >= 0 ? (x) : -(x))
445#define __GMP_MAX(h,i) ((h) > (i) ? (h) : (i))
446
447
448/* __builtin_expect is in gcc 3.0, and not in 2.95. */
449#if __GMP_GNUC_PREREQ (3,0)
450#define __GMP_LIKELY(cond)    __builtin_expect ((cond) != 0, 1)
451#define __GMP_UNLIKELY(cond)  __builtin_expect ((cond) != 0, 0)
452#else
453#define __GMP_LIKELY(cond)    (cond)
454#define __GMP_UNLIKELY(cond)  (cond)
455#endif
456
457#ifdef _CRAY
458#define __GMP_CRAY_Pragma(str)  _Pragma (str)
459#else
460#define __GMP_CRAY_Pragma(str)
461#endif
462
463
464/* Allow direct user access to numerator and denominator of an mpq_t object.  */
465#define mpq_numref(Q) (&((Q)->_mp_num))
466#define mpq_denref(Q) (&((Q)->_mp_den))
467
468
469#if defined (__cplusplus)
470extern "C" {
471using std::FILE;
472#endif
473
474#define mp_set_memory_functions __gmp_set_memory_functions
475__GMP_DECLSPEC void mp_set_memory_functions (void *(*) (size_t),
476				      void *(*) (void *, size_t, size_t),
477				      void (*) (void *, size_t)) __GMP_NOTHROW;
478
479#define mp_get_memory_functions __gmp_get_memory_functions
480__GMP_DECLSPEC void mp_get_memory_functions (void *(**) (size_t),
481				      void *(**) (void *, size_t, size_t),
482				      void (**) (void *, size_t)) __GMP_NOTHROW;
483
484#define mp_bits_per_limb __gmp_bits_per_limb
485__GMP_DECLSPEC extern const int mp_bits_per_limb;
486
487#define gmp_errno __gmp_errno
488__GMP_DECLSPEC extern int gmp_errno;
489
490#define gmp_version __gmp_version
491__GMP_DECLSPEC extern const char * const gmp_version;
492
493
494/**************** Random number routines.  ****************/
495
496/* obsolete */
497#define gmp_randinit __gmp_randinit
498__GMP_DECLSPEC void gmp_randinit (gmp_randstate_t, gmp_randalg_t, ...);
499
500#define gmp_randinit_default __gmp_randinit_default
501__GMP_DECLSPEC void gmp_randinit_default (gmp_randstate_t);
502
503#define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
504__GMP_DECLSPEC void gmp_randinit_lc_2exp (gmp_randstate_t, mpz_srcptr, unsigned long int, mp_bitcnt_t);
505
506#define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size
507__GMP_DECLSPEC int gmp_randinit_lc_2exp_size (gmp_randstate_t, mp_bitcnt_t);
508
509#define gmp_randinit_mt __gmp_randinit_mt
510__GMP_DECLSPEC void gmp_randinit_mt (gmp_randstate_t);
511
512#define gmp_randinit_set __gmp_randinit_set
513__GMP_DECLSPEC void gmp_randinit_set (gmp_randstate_t, const __gmp_randstate_struct *);
514
515#define gmp_randseed __gmp_randseed
516__GMP_DECLSPEC void gmp_randseed (gmp_randstate_t, mpz_srcptr);
517
518#define gmp_randseed_ui __gmp_randseed_ui
519__GMP_DECLSPEC void gmp_randseed_ui (gmp_randstate_t, unsigned long int);
520
521#define gmp_randclear __gmp_randclear
522__GMP_DECLSPEC void gmp_randclear (gmp_randstate_t);
523
524#define gmp_urandomb_ui __gmp_urandomb_ui
525__GMP_DECLSPEC unsigned long gmp_urandomb_ui (gmp_randstate_t, unsigned long);
526
527#define gmp_urandomm_ui __gmp_urandomm_ui
528__GMP_DECLSPEC unsigned long gmp_urandomm_ui (gmp_randstate_t, unsigned long);
529
530
531/**************** Formatted output routines.  ****************/
532
533#define gmp_asprintf __gmp_asprintf
534__GMP_DECLSPEC int gmp_asprintf (char **, const char *, ...);
535
536#define gmp_fprintf __gmp_fprintf
537#ifdef _GMP_H_HAVE_FILE
538__GMP_DECLSPEC int gmp_fprintf (FILE *, const char *, ...);
539#endif
540
541#define gmp_obstack_printf __gmp_obstack_printf
542#if defined (_GMP_H_HAVE_OBSTACK)
543__GMP_DECLSPEC int gmp_obstack_printf (struct obstack *, const char *, ...);
544#endif
545
546#define gmp_obstack_vprintf __gmp_obstack_vprintf
547#if defined (_GMP_H_HAVE_OBSTACK) && defined (_GMP_H_HAVE_VA_LIST)
548__GMP_DECLSPEC int gmp_obstack_vprintf (struct obstack *, const char *, va_list);
549#endif
550
551#define gmp_printf __gmp_printf
552__GMP_DECLSPEC int gmp_printf (const char *, ...);
553
554#define gmp_snprintf __gmp_snprintf
555__GMP_DECLSPEC int gmp_snprintf (char *, size_t, const char *, ...);
556
557#define gmp_sprintf __gmp_sprintf
558__GMP_DECLSPEC int gmp_sprintf (char *, const char *, ...);
559
560#define gmp_vasprintf __gmp_vasprintf
561#if defined (_GMP_H_HAVE_VA_LIST)
562__GMP_DECLSPEC int gmp_vasprintf (char **, const char *, va_list);
563#endif
564
565#define gmp_vfprintf __gmp_vfprintf
566#if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
567__GMP_DECLSPEC int gmp_vfprintf (FILE *, const char *, va_list);
568#endif
569
570#define gmp_vprintf __gmp_vprintf
571#if defined (_GMP_H_HAVE_VA_LIST)
572__GMP_DECLSPEC int gmp_vprintf (const char *, va_list);
573#endif
574
575#define gmp_vsnprintf __gmp_vsnprintf
576#if defined (_GMP_H_HAVE_VA_LIST)
577__GMP_DECLSPEC int gmp_vsnprintf (char *, size_t, const char *, va_list);
578#endif
579
580#define gmp_vsprintf __gmp_vsprintf
581#if defined (_GMP_H_HAVE_VA_LIST)
582__GMP_DECLSPEC int gmp_vsprintf (char *, const char *, va_list);
583#endif
584
585
586/**************** Formatted input routines.  ****************/
587
588#define gmp_fscanf __gmp_fscanf
589#ifdef _GMP_H_HAVE_FILE
590__GMP_DECLSPEC int gmp_fscanf (FILE *, const char *, ...);
591#endif
592
593#define gmp_scanf __gmp_scanf
594__GMP_DECLSPEC int gmp_scanf (const char *, ...);
595
596#define gmp_sscanf __gmp_sscanf
597__GMP_DECLSPEC int gmp_sscanf (const char *, const char *, ...);
598
599#define gmp_vfscanf __gmp_vfscanf
600#if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
601__GMP_DECLSPEC int gmp_vfscanf (FILE *, const char *, va_list);
602#endif
603
604#define gmp_vscanf __gmp_vscanf
605#if defined (_GMP_H_HAVE_VA_LIST)
606__GMP_DECLSPEC int gmp_vscanf (const char *, va_list);
607#endif
608
609#define gmp_vsscanf __gmp_vsscanf
610#if defined (_GMP_H_HAVE_VA_LIST)
611__GMP_DECLSPEC int gmp_vsscanf (const char *, const char *, va_list);
612#endif
613
614
615/**************** Integer (i.e. Z) routines.  ****************/
616
617#define _mpz_realloc __gmpz_realloc
618#define mpz_realloc __gmpz_realloc
619__GMP_DECLSPEC void *_mpz_realloc (mpz_ptr, mp_size_t);
620
621#define mpz_abs __gmpz_abs
622#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs)
623__GMP_DECLSPEC void mpz_abs (mpz_ptr, mpz_srcptr);
624#endif
625
626#define mpz_add __gmpz_add
627__GMP_DECLSPEC void mpz_add (mpz_ptr, mpz_srcptr, mpz_srcptr);
628
629#define mpz_add_ui __gmpz_add_ui
630__GMP_DECLSPEC void mpz_add_ui (mpz_ptr, mpz_srcptr, unsigned long int);
631
632#define mpz_addmul __gmpz_addmul
633__GMP_DECLSPEC void mpz_addmul (mpz_ptr, mpz_srcptr, mpz_srcptr);
634
635#define mpz_addmul_ui __gmpz_addmul_ui
636__GMP_DECLSPEC void mpz_addmul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
637
638#define mpz_and __gmpz_and
639__GMP_DECLSPEC void mpz_and (mpz_ptr, mpz_srcptr, mpz_srcptr);
640
641#define mpz_array_init __gmpz_array_init
642__GMP_DECLSPEC void mpz_array_init (mpz_ptr, mp_size_t, mp_size_t);
643
644#define mpz_bin_ui __gmpz_bin_ui
645__GMP_DECLSPEC void mpz_bin_ui (mpz_ptr, mpz_srcptr, unsigned long int);
646
647#define mpz_bin_uiui __gmpz_bin_uiui
648__GMP_DECLSPEC void mpz_bin_uiui (mpz_ptr, unsigned long int, unsigned long int);
649
650#define mpz_cdiv_q __gmpz_cdiv_q
651__GMP_DECLSPEC void mpz_cdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
652
653#define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
654__GMP_DECLSPEC void mpz_cdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
655
656#define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
657__GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
658
659#define mpz_cdiv_qr __gmpz_cdiv_qr
660__GMP_DECLSPEC void mpz_cdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
661
662#define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
663__GMP_DECLSPEC unsigned long int mpz_cdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
664
665#define mpz_cdiv_r __gmpz_cdiv_r
666__GMP_DECLSPEC void mpz_cdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
667
668#define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
669__GMP_DECLSPEC void mpz_cdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
670
671#define mpz_cdiv_r_ui __gmpz_cdiv_r_ui
672__GMP_DECLSPEC unsigned long int mpz_cdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
673
674#define mpz_cdiv_ui __gmpz_cdiv_ui
675__GMP_DECLSPEC unsigned long int mpz_cdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
676
677#define mpz_clear __gmpz_clear
678__GMP_DECLSPEC void mpz_clear (mpz_ptr);
679
680#define mpz_clears __gmpz_clears
681__GMP_DECLSPEC void mpz_clears (mpz_ptr, ...);
682
683#define mpz_clrbit __gmpz_clrbit
684__GMP_DECLSPEC void mpz_clrbit (mpz_ptr, mp_bitcnt_t);
685
686#define mpz_cmp __gmpz_cmp
687__GMP_DECLSPEC int mpz_cmp (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
688
689#define mpz_cmp_d __gmpz_cmp_d
690__GMP_DECLSPEC int mpz_cmp_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
691
692#define _mpz_cmp_si __gmpz_cmp_si
693__GMP_DECLSPEC int _mpz_cmp_si (mpz_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
694
695#define _mpz_cmp_ui __gmpz_cmp_ui
696__GMP_DECLSPEC int _mpz_cmp_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
697
698#define mpz_cmpabs __gmpz_cmpabs
699__GMP_DECLSPEC int mpz_cmpabs (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
700
701#define mpz_cmpabs_d __gmpz_cmpabs_d
702__GMP_DECLSPEC int mpz_cmpabs_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
703
704#define mpz_cmpabs_ui __gmpz_cmpabs_ui
705__GMP_DECLSPEC int mpz_cmpabs_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
706
707#define mpz_com __gmpz_com
708__GMP_DECLSPEC void mpz_com (mpz_ptr, mpz_srcptr);
709
710#define mpz_combit __gmpz_combit
711__GMP_DECLSPEC void mpz_combit (mpz_ptr, mp_bitcnt_t);
712
713#define mpz_congruent_p __gmpz_congruent_p
714__GMP_DECLSPEC int mpz_congruent_p (mpz_srcptr, mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
715
716#define mpz_congruent_2exp_p __gmpz_congruent_2exp_p
717__GMP_DECLSPEC int mpz_congruent_2exp_p (mpz_srcptr, mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
718
719#define mpz_congruent_ui_p __gmpz_congruent_ui_p
720__GMP_DECLSPEC int mpz_congruent_ui_p (mpz_srcptr, unsigned long, unsigned long) __GMP_ATTRIBUTE_PURE;
721
722#define mpz_divexact __gmpz_divexact
723__GMP_DECLSPEC void mpz_divexact (mpz_ptr, mpz_srcptr, mpz_srcptr);
724
725#define mpz_divexact_ui __gmpz_divexact_ui
726__GMP_DECLSPEC void mpz_divexact_ui (mpz_ptr, mpz_srcptr, unsigned long);
727
728#define mpz_divisible_p __gmpz_divisible_p
729__GMP_DECLSPEC int mpz_divisible_p (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
730
731#define mpz_divisible_ui_p __gmpz_divisible_ui_p
732__GMP_DECLSPEC int mpz_divisible_ui_p (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
733
734#define mpz_divisible_2exp_p __gmpz_divisible_2exp_p
735__GMP_DECLSPEC int mpz_divisible_2exp_p (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
736
737#define mpz_dump __gmpz_dump
738__GMP_DECLSPEC void mpz_dump (mpz_srcptr);
739
740#define mpz_export __gmpz_export
741__GMP_DECLSPEC void *mpz_export (void *, size_t *, int, size_t, int, size_t, mpz_srcptr);
742
743#define mpz_fac_ui __gmpz_fac_ui
744__GMP_DECLSPEC void mpz_fac_ui (mpz_ptr, unsigned long int);
745
746#define mpz_2fac_ui __gmpz_2fac_ui
747__GMP_DECLSPEC void mpz_2fac_ui (mpz_ptr, unsigned long int);
748
749#define mpz_mfac_uiui __gmpz_mfac_uiui
750__GMP_DECLSPEC void mpz_mfac_uiui (mpz_ptr, unsigned long int, unsigned long int);
751
752#define mpz_primorial_ui __gmpz_primorial_ui
753__GMP_DECLSPEC void mpz_primorial_ui (mpz_ptr, unsigned long int);
754
755#define mpz_fdiv_q __gmpz_fdiv_q
756__GMP_DECLSPEC void mpz_fdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
757
758#define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
759__GMP_DECLSPEC void mpz_fdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
760
761#define mpz_fdiv_q_ui __gmpz_fdiv_q_ui
762__GMP_DECLSPEC unsigned long int mpz_fdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
763
764#define mpz_fdiv_qr __gmpz_fdiv_qr
765__GMP_DECLSPEC void mpz_fdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
766
767#define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui
768__GMP_DECLSPEC unsigned long int mpz_fdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
769
770#define mpz_fdiv_r __gmpz_fdiv_r
771__GMP_DECLSPEC void mpz_fdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
772
773#define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
774__GMP_DECLSPEC void mpz_fdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
775
776#define mpz_fdiv_r_ui __gmpz_fdiv_r_ui
777__GMP_DECLSPEC unsigned long int mpz_fdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
778
779#define mpz_fdiv_ui __gmpz_fdiv_ui
780__GMP_DECLSPEC unsigned long int mpz_fdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
781
782#define mpz_fib_ui __gmpz_fib_ui
783__GMP_DECLSPEC void mpz_fib_ui (mpz_ptr, unsigned long int);
784
785#define mpz_fib2_ui __gmpz_fib2_ui
786__GMP_DECLSPEC void mpz_fib2_ui (mpz_ptr, mpz_ptr, unsigned long int);
787
788#define mpz_fits_sint_p __gmpz_fits_sint_p
789__GMP_DECLSPEC int mpz_fits_sint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
790
791#define mpz_fits_slong_p __gmpz_fits_slong_p
792__GMP_DECLSPEC int mpz_fits_slong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
793
794#define mpz_fits_sshort_p __gmpz_fits_sshort_p
795__GMP_DECLSPEC int mpz_fits_sshort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
796
797#define mpz_fits_uint_p __gmpz_fits_uint_p
798#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_uint_p)
799__GMP_DECLSPEC int mpz_fits_uint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
800#endif
801
802#define mpz_fits_ulong_p __gmpz_fits_ulong_p
803#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ulong_p)
804__GMP_DECLSPEC int mpz_fits_ulong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
805#endif
806
807#define mpz_fits_ushort_p __gmpz_fits_ushort_p
808#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ushort_p)
809__GMP_DECLSPEC int mpz_fits_ushort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
810#endif
811
812#define mpz_gcd __gmpz_gcd
813__GMP_DECLSPEC void mpz_gcd (mpz_ptr, mpz_srcptr, mpz_srcptr);
814
815#define mpz_gcd_ui __gmpz_gcd_ui
816__GMP_DECLSPEC unsigned long int mpz_gcd_ui (mpz_ptr, mpz_srcptr, unsigned long int);
817
818#define mpz_gcdext __gmpz_gcdext
819__GMP_DECLSPEC void mpz_gcdext (mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
820
821#define mpz_get_d __gmpz_get_d
822__GMP_DECLSPEC double mpz_get_d (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
823
824#define mpz_get_d_2exp __gmpz_get_d_2exp
825__GMP_DECLSPEC double mpz_get_d_2exp (signed long int *, mpz_srcptr);
826
827#define mpz_get_si __gmpz_get_si
828__GMP_DECLSPEC /* signed */ long int mpz_get_si (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
829
830#define mpz_get_str __gmpz_get_str
831__GMP_DECLSPEC char *mpz_get_str (char *, int, mpz_srcptr);
832
833#define mpz_get_ui __gmpz_get_ui
834#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_get_ui)
835__GMP_DECLSPEC unsigned long int mpz_get_ui (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
836#endif
837
838#define mpz_getlimbn __gmpz_getlimbn
839#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_getlimbn)
840__GMP_DECLSPEC mp_limb_t mpz_getlimbn (mpz_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
841#endif
842
843#define mpz_hamdist __gmpz_hamdist
844__GMP_DECLSPEC mp_bitcnt_t mpz_hamdist (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
845
846#define mpz_import __gmpz_import
847__GMP_DECLSPEC void mpz_import (mpz_ptr, size_t, int, size_t, int, size_t, const void *);
848
849#define mpz_init __gmpz_init
850__GMP_DECLSPEC void mpz_init (mpz_ptr) __GMP_NOTHROW;
851
852#define mpz_init2 __gmpz_init2
853__GMP_DECLSPEC void mpz_init2 (mpz_ptr, mp_bitcnt_t);
854
855#define mpz_inits __gmpz_inits
856__GMP_DECLSPEC void mpz_inits (mpz_ptr, ...) __GMP_NOTHROW;
857
858#define mpz_init_set __gmpz_init_set
859__GMP_DECLSPEC void mpz_init_set (mpz_ptr, mpz_srcptr);
860
861#define mpz_init_set_d __gmpz_init_set_d
862__GMP_DECLSPEC void mpz_init_set_d (mpz_ptr, double);
863
864#define mpz_init_set_si __gmpz_init_set_si
865__GMP_DECLSPEC void mpz_init_set_si (mpz_ptr, signed long int);
866
867#define mpz_init_set_str __gmpz_init_set_str
868__GMP_DECLSPEC int mpz_init_set_str (mpz_ptr, const char *, int);
869
870#define mpz_init_set_ui __gmpz_init_set_ui
871__GMP_DECLSPEC void mpz_init_set_ui (mpz_ptr, unsigned long int);
872
873#define mpz_inp_raw __gmpz_inp_raw
874#ifdef _GMP_H_HAVE_FILE
875__GMP_DECLSPEC size_t mpz_inp_raw (mpz_ptr, FILE *);
876#endif
877
878#define mpz_inp_str __gmpz_inp_str
879#ifdef _GMP_H_HAVE_FILE
880__GMP_DECLSPEC size_t mpz_inp_str (mpz_ptr, FILE *, int);
881#endif
882
883#define mpz_invert __gmpz_invert
884__GMP_DECLSPEC int mpz_invert (mpz_ptr, mpz_srcptr, mpz_srcptr);
885
886#define mpz_ior __gmpz_ior
887__GMP_DECLSPEC void mpz_ior (mpz_ptr, mpz_srcptr, mpz_srcptr);
888
889#define mpz_jacobi __gmpz_jacobi
890__GMP_DECLSPEC int mpz_jacobi (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
891
892#define mpz_kronecker mpz_jacobi  /* alias */
893
894#define mpz_kronecker_si __gmpz_kronecker_si
895__GMP_DECLSPEC int mpz_kronecker_si (mpz_srcptr, long) __GMP_ATTRIBUTE_PURE;
896
897#define mpz_kronecker_ui __gmpz_kronecker_ui
898__GMP_DECLSPEC int mpz_kronecker_ui (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
899
900#define mpz_si_kronecker __gmpz_si_kronecker
901__GMP_DECLSPEC int mpz_si_kronecker (long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
902
903#define mpz_ui_kronecker __gmpz_ui_kronecker
904__GMP_DECLSPEC int mpz_ui_kronecker (unsigned long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
905
906#define mpz_lcm __gmpz_lcm
907__GMP_DECLSPEC void mpz_lcm (mpz_ptr, mpz_srcptr, mpz_srcptr);
908
909#define mpz_lcm_ui __gmpz_lcm_ui
910__GMP_DECLSPEC void mpz_lcm_ui (mpz_ptr, mpz_srcptr, unsigned long);
911
912#define mpz_legendre mpz_jacobi  /* alias */
913
914#define mpz_lucnum_ui __gmpz_lucnum_ui
915__GMP_DECLSPEC void mpz_lucnum_ui (mpz_ptr, unsigned long int);
916
917#define mpz_lucnum2_ui __gmpz_lucnum2_ui
918__GMP_DECLSPEC void mpz_lucnum2_ui (mpz_ptr, mpz_ptr, unsigned long int);
919
920#define mpz_millerrabin __gmpz_millerrabin
921__GMP_DECLSPEC int mpz_millerrabin (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
922
923#define mpz_mod __gmpz_mod
924__GMP_DECLSPEC void mpz_mod (mpz_ptr, mpz_srcptr, mpz_srcptr);
925
926#define mpz_mod_ui mpz_fdiv_r_ui /* same as fdiv_r because divisor unsigned */
927
928#define mpz_mul __gmpz_mul
929__GMP_DECLSPEC void mpz_mul (mpz_ptr, mpz_srcptr, mpz_srcptr);
930
931#define mpz_mul_2exp __gmpz_mul_2exp
932__GMP_DECLSPEC void mpz_mul_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
933
934#define mpz_mul_si __gmpz_mul_si
935__GMP_DECLSPEC void mpz_mul_si (mpz_ptr, mpz_srcptr, long int);
936
937#define mpz_mul_ui __gmpz_mul_ui
938__GMP_DECLSPEC void mpz_mul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
939
940#define mpz_neg __gmpz_neg
941#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_neg)
942__GMP_DECLSPEC void mpz_neg (mpz_ptr, mpz_srcptr);
943#endif
944
945#define mpz_nextprime __gmpz_nextprime
946__GMP_DECLSPEC void mpz_nextprime (mpz_ptr, mpz_srcptr);
947
948#define mpz_out_raw __gmpz_out_raw
949#ifdef _GMP_H_HAVE_FILE
950__GMP_DECLSPEC size_t mpz_out_raw (FILE *, mpz_srcptr);
951#endif
952
953#define mpz_out_str __gmpz_out_str
954#ifdef _GMP_H_HAVE_FILE
955__GMP_DECLSPEC size_t mpz_out_str (FILE *, int, mpz_srcptr);
956#endif
957
958#define mpz_perfect_power_p __gmpz_perfect_power_p
959__GMP_DECLSPEC int mpz_perfect_power_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
960
961#define mpz_perfect_square_p __gmpz_perfect_square_p
962#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_perfect_square_p)
963__GMP_DECLSPEC int mpz_perfect_square_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
964#endif
965
966#define mpz_popcount __gmpz_popcount
967#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_popcount)
968__GMP_DECLSPEC mp_bitcnt_t mpz_popcount (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
969#endif
970
971#define mpz_pow_ui __gmpz_pow_ui
972__GMP_DECLSPEC void mpz_pow_ui (mpz_ptr, mpz_srcptr, unsigned long int);
973
974#define mpz_powm __gmpz_powm
975__GMP_DECLSPEC void mpz_powm (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
976
977#define mpz_powm_sec __gmpz_powm_sec
978__GMP_DECLSPEC void mpz_powm_sec (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
979
980#define mpz_powm_ui __gmpz_powm_ui
981__GMP_DECLSPEC void mpz_powm_ui (mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr);
982
983#define mpz_probab_prime_p __gmpz_probab_prime_p
984__GMP_DECLSPEC int mpz_probab_prime_p (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
985
986#define mpz_random __gmpz_random
987__GMP_DECLSPEC void mpz_random (mpz_ptr, mp_size_t);
988
989#define mpz_random2 __gmpz_random2
990__GMP_DECLSPEC void mpz_random2 (mpz_ptr, mp_size_t);
991
992#define mpz_realloc2 __gmpz_realloc2
993__GMP_DECLSPEC void mpz_realloc2 (mpz_ptr, mp_bitcnt_t);
994
995#define mpz_remove __gmpz_remove
996__GMP_DECLSPEC mp_bitcnt_t mpz_remove (mpz_ptr, mpz_srcptr, mpz_srcptr);
997
998#define mpz_root __gmpz_root
999__GMP_DECLSPEC int mpz_root (mpz_ptr, mpz_srcptr, unsigned long int);
1000
1001#define mpz_rootrem __gmpz_rootrem
1002__GMP_DECLSPEC void mpz_rootrem (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
1003
1004#define mpz_rrandomb __gmpz_rrandomb
1005__GMP_DECLSPEC void mpz_rrandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
1006
1007#define mpz_scan0 __gmpz_scan0
1008__GMP_DECLSPEC mp_bitcnt_t mpz_scan0 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1009
1010#define mpz_scan1 __gmpz_scan1
1011__GMP_DECLSPEC mp_bitcnt_t mpz_scan1 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1012
1013#define mpz_set __gmpz_set
1014__GMP_DECLSPEC void mpz_set (mpz_ptr, mpz_srcptr);
1015
1016#define mpz_set_d __gmpz_set_d
1017__GMP_DECLSPEC void mpz_set_d (mpz_ptr, double);
1018
1019#define mpz_set_f __gmpz_set_f
1020__GMP_DECLSPEC void mpz_set_f (mpz_ptr, mpf_srcptr);
1021
1022#define mpz_set_q __gmpz_set_q
1023#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_set_q)
1024__GMP_DECLSPEC void mpz_set_q (mpz_ptr, mpq_srcptr);
1025#endif
1026
1027#define mpz_set_si __gmpz_set_si
1028__GMP_DECLSPEC void mpz_set_si (mpz_ptr, signed long int);
1029
1030#define mpz_set_str __gmpz_set_str
1031__GMP_DECLSPEC int mpz_set_str (mpz_ptr, const char *, int);
1032
1033#define mpz_set_ui __gmpz_set_ui
1034__GMP_DECLSPEC void mpz_set_ui (mpz_ptr, unsigned long int);
1035
1036#define mpz_setbit __gmpz_setbit
1037__GMP_DECLSPEC void mpz_setbit (mpz_ptr, mp_bitcnt_t);
1038
1039#define mpz_size __gmpz_size
1040#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_size)
1041__GMP_DECLSPEC size_t mpz_size (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1042#endif
1043
1044#define mpz_sizeinbase __gmpz_sizeinbase
1045__GMP_DECLSPEC size_t mpz_sizeinbase (mpz_srcptr, int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1046
1047#define mpz_sqrt __gmpz_sqrt
1048__GMP_DECLSPEC void mpz_sqrt (mpz_ptr, mpz_srcptr);
1049
1050#define mpz_sqrtrem __gmpz_sqrtrem
1051__GMP_DECLSPEC void mpz_sqrtrem (mpz_ptr, mpz_ptr, mpz_srcptr);
1052
1053#define mpz_sub __gmpz_sub
1054__GMP_DECLSPEC void mpz_sub (mpz_ptr, mpz_srcptr, mpz_srcptr);
1055
1056#define mpz_sub_ui __gmpz_sub_ui
1057__GMP_DECLSPEC void mpz_sub_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1058
1059#define mpz_ui_sub __gmpz_ui_sub
1060__GMP_DECLSPEC void mpz_ui_sub (mpz_ptr, unsigned long int, mpz_srcptr);
1061
1062#define mpz_submul __gmpz_submul
1063__GMP_DECLSPEC void mpz_submul (mpz_ptr, mpz_srcptr, mpz_srcptr);
1064
1065#define mpz_submul_ui __gmpz_submul_ui
1066__GMP_DECLSPEC void mpz_submul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1067
1068#define mpz_swap __gmpz_swap
1069__GMP_DECLSPEC void mpz_swap (mpz_ptr, mpz_ptr) __GMP_NOTHROW;
1070
1071#define mpz_tdiv_ui __gmpz_tdiv_ui
1072__GMP_DECLSPEC unsigned long int mpz_tdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
1073
1074#define mpz_tdiv_q __gmpz_tdiv_q
1075__GMP_DECLSPEC void mpz_tdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
1076
1077#define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp
1078__GMP_DECLSPEC void mpz_tdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
1079
1080#define mpz_tdiv_q_ui __gmpz_tdiv_q_ui
1081__GMP_DECLSPEC unsigned long int mpz_tdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1082
1083#define mpz_tdiv_qr __gmpz_tdiv_qr
1084__GMP_DECLSPEC void mpz_tdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
1085
1086#define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui
1087__GMP_DECLSPEC unsigned long int mpz_tdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
1088
1089#define mpz_tdiv_r __gmpz_tdiv_r
1090__GMP_DECLSPEC void mpz_tdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
1091
1092#define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp
1093__GMP_DECLSPEC void mpz_tdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
1094
1095#define mpz_tdiv_r_ui __gmpz_tdiv_r_ui
1096__GMP_DECLSPEC unsigned long int mpz_tdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1097
1098#define mpz_tstbit __gmpz_tstbit
1099__GMP_DECLSPEC int mpz_tstbit (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1100
1101#define mpz_ui_pow_ui __gmpz_ui_pow_ui
1102__GMP_DECLSPEC void mpz_ui_pow_ui (mpz_ptr, unsigned long int, unsigned long int);
1103
1104#define mpz_urandomb __gmpz_urandomb
1105__GMP_DECLSPEC void mpz_urandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
1106
1107#define mpz_urandomm __gmpz_urandomm
1108__GMP_DECLSPEC void mpz_urandomm (mpz_ptr, gmp_randstate_t, mpz_srcptr);
1109
1110#define mpz_xor __gmpz_xor
1111#define mpz_eor __gmpz_xor
1112__GMP_DECLSPEC void mpz_xor (mpz_ptr, mpz_srcptr, mpz_srcptr);
1113
1114#define mpz_limbs_read __gmpz_limbs_read
1115__GMP_DECLSPEC mp_srcptr mpz_limbs_read (mpz_srcptr);
1116
1117#define mpz_limbs_write __gmpz_limbs_write
1118__GMP_DECLSPEC mp_ptr mpz_limbs_write (mpz_ptr, mp_size_t);
1119
1120#define mpz_limbs_modify __gmpz_limbs_modify
1121__GMP_DECLSPEC mp_ptr mpz_limbs_modify (mpz_ptr, mp_size_t);
1122
1123#define mpz_limbs_finish __gmpz_limbs_finish
1124__GMP_DECLSPEC void mpz_limbs_finish (mpz_ptr, mp_size_t);
1125
1126#define mpz_roinit_n __gmpz_roinit_n
1127__GMP_DECLSPEC mpz_srcptr mpz_roinit_n (mpz_ptr, mp_srcptr, mp_size_t);
1128
1129#define MPZ_ROINIT_N(xp, xs) {{0, (xs),(xp) }}
1130
1131/**************** Rational (i.e. Q) routines.  ****************/
1132
1133#define mpq_abs __gmpq_abs
1134#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_abs)
1135__GMP_DECLSPEC void mpq_abs (mpq_ptr, mpq_srcptr);
1136#endif
1137
1138#define mpq_add __gmpq_add
1139__GMP_DECLSPEC void mpq_add (mpq_ptr, mpq_srcptr, mpq_srcptr);
1140
1141#define mpq_canonicalize __gmpq_canonicalize
1142__GMP_DECLSPEC void mpq_canonicalize (mpq_ptr);
1143
1144#define mpq_clear __gmpq_clear
1145__GMP_DECLSPEC void mpq_clear (mpq_ptr);
1146
1147#define mpq_clears __gmpq_clears
1148__GMP_DECLSPEC void mpq_clears (mpq_ptr, ...);
1149
1150#define mpq_cmp __gmpq_cmp
1151__GMP_DECLSPEC int mpq_cmp (mpq_srcptr, mpq_srcptr) __GMP_ATTRIBUTE_PURE;
1152
1153#define _mpq_cmp_si __gmpq_cmp_si
1154__GMP_DECLSPEC int _mpq_cmp_si (mpq_srcptr, long, unsigned long) __GMP_ATTRIBUTE_PURE;
1155
1156#define _mpq_cmp_ui __gmpq_cmp_ui
1157__GMP_DECLSPEC int _mpq_cmp_ui (mpq_srcptr, unsigned long int, unsigned long int) __GMP_ATTRIBUTE_PURE;
1158
1159#define mpq_cmp_z __gmpq_cmp_z
1160__GMP_DECLSPEC int mpq_cmp_z (mpq_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
1161
1162#define mpq_div __gmpq_div
1163__GMP_DECLSPEC void mpq_div (mpq_ptr, mpq_srcptr, mpq_srcptr);
1164
1165#define mpq_div_2exp __gmpq_div_2exp
1166__GMP_DECLSPEC void mpq_div_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
1167
1168#define mpq_equal __gmpq_equal
1169__GMP_DECLSPEC int mpq_equal (mpq_srcptr, mpq_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1170
1171#define mpq_get_num __gmpq_get_num
1172__GMP_DECLSPEC void mpq_get_num (mpz_ptr, mpq_srcptr);
1173
1174#define mpq_get_den __gmpq_get_den
1175__GMP_DECLSPEC void mpq_get_den (mpz_ptr, mpq_srcptr);
1176
1177#define mpq_get_d __gmpq_get_d
1178__GMP_DECLSPEC double mpq_get_d (mpq_srcptr) __GMP_ATTRIBUTE_PURE;
1179
1180#define mpq_get_str __gmpq_get_str
1181__GMP_DECLSPEC char *mpq_get_str (char *, int, mpq_srcptr);
1182
1183#define mpq_init __gmpq_init
1184__GMP_DECLSPEC void mpq_init (mpq_ptr);
1185
1186#define mpq_inits __gmpq_inits
1187__GMP_DECLSPEC void mpq_inits (mpq_ptr, ...);
1188
1189#define mpq_inp_str __gmpq_inp_str
1190#ifdef _GMP_H_HAVE_FILE
1191__GMP_DECLSPEC size_t mpq_inp_str (mpq_ptr, FILE *, int);
1192#endif
1193
1194#define mpq_inv __gmpq_inv
1195__GMP_DECLSPEC void mpq_inv (mpq_ptr, mpq_srcptr);
1196
1197#define mpq_mul __gmpq_mul
1198__GMP_DECLSPEC void mpq_mul (mpq_ptr, mpq_srcptr, mpq_srcptr);
1199
1200#define mpq_mul_2exp __gmpq_mul_2exp
1201__GMP_DECLSPEC void mpq_mul_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
1202
1203#define mpq_neg __gmpq_neg
1204#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_neg)
1205__GMP_DECLSPEC void mpq_neg (mpq_ptr, mpq_srcptr);
1206#endif
1207
1208#define mpq_out_str __gmpq_out_str
1209#ifdef _GMP_H_HAVE_FILE
1210__GMP_DECLSPEC size_t mpq_out_str (FILE *, int, mpq_srcptr);
1211#endif
1212
1213#define mpq_set __gmpq_set
1214__GMP_DECLSPEC void mpq_set (mpq_ptr, mpq_srcptr);
1215
1216#define mpq_set_d __gmpq_set_d
1217__GMP_DECLSPEC void mpq_set_d (mpq_ptr, double);
1218
1219#define mpq_set_den __gmpq_set_den
1220__GMP_DECLSPEC void mpq_set_den (mpq_ptr, mpz_srcptr);
1221
1222#define mpq_set_f __gmpq_set_f
1223__GMP_DECLSPEC void mpq_set_f (mpq_ptr, mpf_srcptr);
1224
1225#define mpq_set_num __gmpq_set_num
1226__GMP_DECLSPEC void mpq_set_num (mpq_ptr, mpz_srcptr);
1227
1228#define mpq_set_si __gmpq_set_si
1229__GMP_DECLSPEC void mpq_set_si (mpq_ptr, signed long int, unsigned long int);
1230
1231#define mpq_set_str __gmpq_set_str
1232__GMP_DECLSPEC int mpq_set_str (mpq_ptr, const char *, int);
1233
1234#define mpq_set_ui __gmpq_set_ui
1235__GMP_DECLSPEC void mpq_set_ui (mpq_ptr, unsigned long int, unsigned long int);
1236
1237#define mpq_set_z __gmpq_set_z
1238__GMP_DECLSPEC void mpq_set_z (mpq_ptr, mpz_srcptr);
1239
1240#define mpq_sub __gmpq_sub
1241__GMP_DECLSPEC void mpq_sub (mpq_ptr, mpq_srcptr, mpq_srcptr);
1242
1243#define mpq_swap __gmpq_swap
1244__GMP_DECLSPEC void mpq_swap (mpq_ptr, mpq_ptr) __GMP_NOTHROW;
1245
1246
1247/**************** Float (i.e. F) routines.  ****************/
1248
1249#define mpf_abs __gmpf_abs
1250__GMP_DECLSPEC void mpf_abs (mpf_ptr, mpf_srcptr);
1251
1252#define mpf_add __gmpf_add
1253__GMP_DECLSPEC void mpf_add (mpf_ptr, mpf_srcptr, mpf_srcptr);
1254
1255#define mpf_add_ui __gmpf_add_ui
1256__GMP_DECLSPEC void mpf_add_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1257#define mpf_ceil __gmpf_ceil
1258__GMP_DECLSPEC void mpf_ceil (mpf_ptr, mpf_srcptr);
1259
1260#define mpf_clear __gmpf_clear
1261__GMP_DECLSPEC void mpf_clear (mpf_ptr);
1262
1263#define mpf_clears __gmpf_clears
1264__GMP_DECLSPEC void mpf_clears (mpf_ptr, ...);
1265
1266#define mpf_cmp __gmpf_cmp
1267__GMP_DECLSPEC int mpf_cmp (mpf_srcptr, mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1268
1269#define mpf_cmp_z __gmpf_cmp_z
1270__GMP_DECLSPEC int mpf_cmp_z (mpf_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1271
1272#define mpf_cmp_d __gmpf_cmp_d
1273__GMP_DECLSPEC int mpf_cmp_d (mpf_srcptr, double) __GMP_ATTRIBUTE_PURE;
1274
1275#define mpf_cmp_si __gmpf_cmp_si
1276__GMP_DECLSPEC int mpf_cmp_si (mpf_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1277
1278#define mpf_cmp_ui __gmpf_cmp_ui
1279__GMP_DECLSPEC int mpf_cmp_ui (mpf_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1280
1281#define mpf_div __gmpf_div
1282__GMP_DECLSPEC void mpf_div (mpf_ptr, mpf_srcptr, mpf_srcptr);
1283
1284#define mpf_div_2exp __gmpf_div_2exp
1285__GMP_DECLSPEC void mpf_div_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
1286
1287#define mpf_div_ui __gmpf_div_ui
1288__GMP_DECLSPEC void mpf_div_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1289
1290#define mpf_dump __gmpf_dump
1291__GMP_DECLSPEC void mpf_dump (mpf_srcptr);
1292
1293#define mpf_eq __gmpf_eq
1294__GMP_DECLSPEC int mpf_eq (mpf_srcptr, mpf_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
1295
1296#define mpf_fits_sint_p __gmpf_fits_sint_p
1297__GMP_DECLSPEC int mpf_fits_sint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1298
1299#define mpf_fits_slong_p __gmpf_fits_slong_p
1300__GMP_DECLSPEC int mpf_fits_slong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1301
1302#define mpf_fits_sshort_p __gmpf_fits_sshort_p
1303__GMP_DECLSPEC int mpf_fits_sshort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1304
1305#define mpf_fits_uint_p __gmpf_fits_uint_p
1306__GMP_DECLSPEC int mpf_fits_uint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1307
1308#define mpf_fits_ulong_p __gmpf_fits_ulong_p
1309__GMP_DECLSPEC int mpf_fits_ulong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1310
1311#define mpf_fits_ushort_p __gmpf_fits_ushort_p
1312__GMP_DECLSPEC int mpf_fits_ushort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1313
1314#define mpf_floor __gmpf_floor
1315__GMP_DECLSPEC void mpf_floor (mpf_ptr, mpf_srcptr);
1316
1317#define mpf_get_d __gmpf_get_d
1318__GMP_DECLSPEC double mpf_get_d (mpf_srcptr) __GMP_ATTRIBUTE_PURE;
1319
1320#define mpf_get_d_2exp __gmpf_get_d_2exp
1321__GMP_DECLSPEC double mpf_get_d_2exp (signed long int *, mpf_srcptr);
1322
1323#define mpf_get_default_prec __gmpf_get_default_prec
1324__GMP_DECLSPEC mp_bitcnt_t mpf_get_default_prec (void) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1325
1326#define mpf_get_prec __gmpf_get_prec
1327__GMP_DECLSPEC mp_bitcnt_t mpf_get_prec (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1328
1329#define mpf_get_si __gmpf_get_si
1330__GMP_DECLSPEC long mpf_get_si (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1331
1332#define mpf_get_str __gmpf_get_str
1333__GMP_DECLSPEC char *mpf_get_str (char *, mp_exp_t *, int, size_t, mpf_srcptr);
1334
1335#define mpf_get_ui __gmpf_get_ui
1336__GMP_DECLSPEC unsigned long mpf_get_ui (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1337
1338#define mpf_init __gmpf_init
1339__GMP_DECLSPEC void mpf_init (mpf_ptr);
1340
1341#define mpf_init2 __gmpf_init2
1342__GMP_DECLSPEC void mpf_init2 (mpf_ptr, mp_bitcnt_t);
1343
1344#define mpf_inits __gmpf_inits
1345__GMP_DECLSPEC void mpf_inits (mpf_ptr, ...);
1346
1347#define mpf_init_set __gmpf_init_set
1348__GMP_DECLSPEC void mpf_init_set (mpf_ptr, mpf_srcptr);
1349
1350#define mpf_init_set_d __gmpf_init_set_d
1351__GMP_DECLSPEC void mpf_init_set_d (mpf_ptr, double);
1352
1353#define mpf_init_set_si __gmpf_init_set_si
1354__GMP_DECLSPEC void mpf_init_set_si (mpf_ptr, signed long int);
1355
1356#define mpf_init_set_str __gmpf_init_set_str
1357__GMP_DECLSPEC int mpf_init_set_str (mpf_ptr, const char *, int);
1358
1359#define mpf_init_set_ui __gmpf_init_set_ui
1360__GMP_DECLSPEC void mpf_init_set_ui (mpf_ptr, unsigned long int);
1361
1362#define mpf_inp_str __gmpf_inp_str
1363#ifdef _GMP_H_HAVE_FILE
1364__GMP_DECLSPEC size_t mpf_inp_str (mpf_ptr, FILE *, int);
1365#endif
1366
1367#define mpf_integer_p __gmpf_integer_p
1368__GMP_DECLSPEC int mpf_integer_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1369
1370#define mpf_mul __gmpf_mul
1371__GMP_DECLSPEC void mpf_mul (mpf_ptr, mpf_srcptr, mpf_srcptr);
1372
1373#define mpf_mul_2exp __gmpf_mul_2exp
1374__GMP_DECLSPEC void mpf_mul_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
1375
1376#define mpf_mul_ui __gmpf_mul_ui
1377__GMP_DECLSPEC void mpf_mul_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1378
1379#define mpf_neg __gmpf_neg
1380__GMP_DECLSPEC void mpf_neg (mpf_ptr, mpf_srcptr);
1381
1382#define mpf_out_str __gmpf_out_str
1383#ifdef _GMP_H_HAVE_FILE
1384__GMP_DECLSPEC size_t mpf_out_str (FILE *, int, size_t, mpf_srcptr);
1385#endif
1386
1387#define mpf_pow_ui __gmpf_pow_ui
1388__GMP_DECLSPEC void mpf_pow_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1389
1390#define mpf_random2 __gmpf_random2
1391__GMP_DECLSPEC void mpf_random2 (mpf_ptr, mp_size_t, mp_exp_t);
1392
1393#define mpf_reldiff __gmpf_reldiff
1394__GMP_DECLSPEC void mpf_reldiff (mpf_ptr, mpf_srcptr, mpf_srcptr);
1395
1396#define mpf_set __gmpf_set
1397__GMP_DECLSPEC void mpf_set (mpf_ptr, mpf_srcptr);
1398
1399#define mpf_set_d __gmpf_set_d
1400__GMP_DECLSPEC void mpf_set_d (mpf_ptr, double);
1401
1402#define mpf_set_default_prec __gmpf_set_default_prec
1403__GMP_DECLSPEC void mpf_set_default_prec (mp_bitcnt_t) __GMP_NOTHROW;
1404
1405#define mpf_set_prec __gmpf_set_prec
1406__GMP_DECLSPEC void mpf_set_prec (mpf_ptr, mp_bitcnt_t);
1407
1408#define mpf_set_prec_raw __gmpf_set_prec_raw
1409__GMP_DECLSPEC void mpf_set_prec_raw (mpf_ptr, mp_bitcnt_t) __GMP_NOTHROW;
1410
1411#define mpf_set_q __gmpf_set_q
1412__GMP_DECLSPEC void mpf_set_q (mpf_ptr, mpq_srcptr);
1413
1414#define mpf_set_si __gmpf_set_si
1415__GMP_DECLSPEC void mpf_set_si (mpf_ptr, signed long int);
1416
1417#define mpf_set_str __gmpf_set_str
1418__GMP_DECLSPEC int mpf_set_str (mpf_ptr, const char *, int);
1419
1420#define mpf_set_ui __gmpf_set_ui
1421__GMP_DECLSPEC void mpf_set_ui (mpf_ptr, unsigned long int);
1422
1423#define mpf_set_z __gmpf_set_z
1424__GMP_DECLSPEC void mpf_set_z (mpf_ptr, mpz_srcptr);
1425
1426#define mpf_size __gmpf_size
1427__GMP_DECLSPEC size_t mpf_size (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1428
1429#define mpf_sqrt __gmpf_sqrt
1430__GMP_DECLSPEC void mpf_sqrt (mpf_ptr, mpf_srcptr);
1431
1432#define mpf_sqrt_ui __gmpf_sqrt_ui
1433__GMP_DECLSPEC void mpf_sqrt_ui (mpf_ptr, unsigned long int);
1434
1435#define mpf_sub __gmpf_sub
1436__GMP_DECLSPEC void mpf_sub (mpf_ptr, mpf_srcptr, mpf_srcptr);
1437
1438#define mpf_sub_ui __gmpf_sub_ui
1439__GMP_DECLSPEC void mpf_sub_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1440
1441#define mpf_swap __gmpf_swap
1442__GMP_DECLSPEC void mpf_swap (mpf_ptr, mpf_ptr) __GMP_NOTHROW;
1443
1444#define mpf_trunc __gmpf_trunc
1445__GMP_DECLSPEC void mpf_trunc (mpf_ptr, mpf_srcptr);
1446
1447#define mpf_ui_div __gmpf_ui_div
1448__GMP_DECLSPEC void mpf_ui_div (mpf_ptr, unsigned long int, mpf_srcptr);
1449
1450#define mpf_ui_sub __gmpf_ui_sub
1451__GMP_DECLSPEC void mpf_ui_sub (mpf_ptr, unsigned long int, mpf_srcptr);
1452
1453#define mpf_urandomb __gmpf_urandomb
1454__GMP_DECLSPEC void mpf_urandomb (mpf_t, gmp_randstate_t, mp_bitcnt_t);
1455
1456
1457/************ Low level positive-integer (i.e. N) routines.  ************/
1458
1459/* This is ugly, but we need to make user calls reach the prefixed function. */
1460
1461#define mpn_add __MPN(add)
1462#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add)
1463__GMP_DECLSPEC mp_limb_t mpn_add (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1464#endif
1465
1466#define mpn_add_1 __MPN(add_1)
1467#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add_1)
1468__GMP_DECLSPEC mp_limb_t mpn_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
1469#endif
1470
1471#define mpn_add_n __MPN(add_n)
1472__GMP_DECLSPEC mp_limb_t mpn_add_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1473
1474#define mpn_addmul_1 __MPN(addmul_1)
1475__GMP_DECLSPEC mp_limb_t mpn_addmul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1476
1477#define mpn_cmp __MPN(cmp)
1478#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_cmp)
1479__GMP_DECLSPEC int mpn_cmp (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1480#endif
1481
1482#define mpn_zero_p __MPN(zero_p)
1483#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_zero_p)
1484__GMP_DECLSPEC int mpn_zero_p (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1485#endif
1486
1487#define mpn_divexact_1 __MPN(divexact_1)
1488__GMP_DECLSPEC void mpn_divexact_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1489
1490#define mpn_divexact_by3(dst,src,size) \
1491  mpn_divexact_by3c (dst, src, size, __GMP_CAST (mp_limb_t, 0))
1492
1493#define mpn_divexact_by3c __MPN(divexact_by3c)
1494__GMP_DECLSPEC mp_limb_t mpn_divexact_by3c (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1495
1496#define mpn_divmod_1(qp,np,nsize,dlimb) \
1497  mpn_divrem_1 (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dlimb)
1498
1499#define mpn_divrem __MPN(divrem)
1500__GMP_DECLSPEC mp_limb_t mpn_divrem (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t);
1501
1502#define mpn_divrem_1 __MPN(divrem_1)
1503__GMP_DECLSPEC mp_limb_t mpn_divrem_1 (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t);
1504
1505#define mpn_divrem_2 __MPN(divrem_2)
1506__GMP_DECLSPEC mp_limb_t mpn_divrem_2 (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr);
1507
1508#define mpn_div_qr_1 __MPN(div_qr_1)
1509__GMP_DECLSPEC mp_limb_t mpn_div_qr_1 (mp_ptr, mp_limb_t *, mp_srcptr, mp_size_t, mp_limb_t);
1510
1511#define mpn_div_qr_2 __MPN(div_qr_2)
1512__GMP_DECLSPEC mp_limb_t mpn_div_qr_2 (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
1513
1514#define mpn_gcd __MPN(gcd)
1515__GMP_DECLSPEC mp_size_t mpn_gcd (mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
1516
1517#define mpn_gcd_11 __MPN(gcd_11)
1518__GMP_DECLSPEC mp_limb_t mpn_gcd_11 (mp_limb_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1519
1520#define mpn_gcd_1 __MPN(gcd_1)
1521__GMP_DECLSPEC mp_limb_t mpn_gcd_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1522
1523#define mpn_gcdext_1 __MPN(gcdext_1)
1524__GMP_DECLSPEC mp_limb_t mpn_gcdext_1 (mp_limb_signed_t *, mp_limb_signed_t *, mp_limb_t, mp_limb_t);
1525
1526#define mpn_gcdext __MPN(gcdext)
1527__GMP_DECLSPEC mp_size_t mpn_gcdext (mp_ptr, mp_ptr, mp_size_t *, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
1528
1529#define mpn_get_str __MPN(get_str)
1530__GMP_DECLSPEC size_t mpn_get_str (unsigned char *, int, mp_ptr, mp_size_t);
1531
1532#define mpn_hamdist __MPN(hamdist)
1533__GMP_DECLSPEC mp_bitcnt_t mpn_hamdist (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1534
1535#define mpn_lshift __MPN(lshift)
1536__GMP_DECLSPEC mp_limb_t mpn_lshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
1537
1538#define mpn_mod_1 __MPN(mod_1)
1539__GMP_DECLSPEC mp_limb_t mpn_mod_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1540
1541#define mpn_mul __MPN(mul)
1542__GMP_DECLSPEC mp_limb_t mpn_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1543
1544#define mpn_mul_1 __MPN(mul_1)
1545__GMP_DECLSPEC mp_limb_t mpn_mul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1546
1547#define mpn_mul_n __MPN(mul_n)
1548__GMP_DECLSPEC void mpn_mul_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1549
1550#define mpn_sqr __MPN(sqr)
1551__GMP_DECLSPEC void mpn_sqr (mp_ptr, mp_srcptr, mp_size_t);
1552
1553#define mpn_neg __MPN(neg)
1554#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_neg)
1555__GMP_DECLSPEC mp_limb_t mpn_neg (mp_ptr, mp_srcptr, mp_size_t);
1556#endif
1557
1558#define mpn_com __MPN(com)
1559__GMP_DECLSPEC void mpn_com (mp_ptr, mp_srcptr, mp_size_t);
1560
1561#define mpn_perfect_square_p __MPN(perfect_square_p)
1562__GMP_DECLSPEC int mpn_perfect_square_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
1563
1564#define mpn_perfect_power_p __MPN(perfect_power_p)
1565__GMP_DECLSPEC int mpn_perfect_power_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
1566
1567#define mpn_popcount __MPN(popcount)
1568__GMP_DECLSPEC mp_bitcnt_t mpn_popcount (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1569
1570#define mpn_pow_1 __MPN(pow_1)
1571__GMP_DECLSPEC mp_size_t mpn_pow_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
1572
1573/* undocumented now, but retained here for upward compatibility */
1574#define mpn_preinv_mod_1 __MPN(preinv_mod_1)
1575__GMP_DECLSPEC mp_limb_t mpn_preinv_mod_1 (mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1576
1577#define mpn_random __MPN(random)
1578__GMP_DECLSPEC void mpn_random (mp_ptr, mp_size_t);
1579
1580#define mpn_random2 __MPN(random2)
1581__GMP_DECLSPEC void mpn_random2 (mp_ptr, mp_size_t);
1582
1583#define mpn_rshift __MPN(rshift)
1584__GMP_DECLSPEC mp_limb_t mpn_rshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
1585
1586#define mpn_scan0 __MPN(scan0)
1587__GMP_DECLSPEC mp_bitcnt_t mpn_scan0 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
1588
1589#define mpn_scan1 __MPN(scan1)
1590__GMP_DECLSPEC mp_bitcnt_t mpn_scan1 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
1591
1592#define mpn_set_str __MPN(set_str)
1593__GMP_DECLSPEC mp_size_t mpn_set_str (mp_ptr, const unsigned char *, size_t, int);
1594
1595#define mpn_sizeinbase __MPN(sizeinbase)
1596__GMP_DECLSPEC size_t mpn_sizeinbase (mp_srcptr, mp_size_t, int);
1597
1598#define mpn_sqrtrem __MPN(sqrtrem)
1599__GMP_DECLSPEC mp_size_t mpn_sqrtrem (mp_ptr, mp_ptr, mp_srcptr, mp_size_t);
1600
1601#define mpn_sub __MPN(sub)
1602#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub)
1603__GMP_DECLSPEC mp_limb_t mpn_sub (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1604#endif
1605
1606#define mpn_sub_1 __MPN(sub_1)
1607#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub_1)
1608__GMP_DECLSPEC mp_limb_t mpn_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
1609#endif
1610
1611#define mpn_sub_n __MPN(sub_n)
1612__GMP_DECLSPEC mp_limb_t mpn_sub_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1613
1614#define mpn_submul_1 __MPN(submul_1)
1615__GMP_DECLSPEC mp_limb_t mpn_submul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1616
1617#define mpn_tdiv_qr __MPN(tdiv_qr)
1618__GMP_DECLSPEC void mpn_tdiv_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1619
1620#define mpn_and_n __MPN(and_n)
1621__GMP_DECLSPEC void mpn_and_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1622#define mpn_andn_n __MPN(andn_n)
1623__GMP_DECLSPEC void mpn_andn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1624#define mpn_nand_n __MPN(nand_n)
1625__GMP_DECLSPEC void mpn_nand_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1626#define mpn_ior_n __MPN(ior_n)
1627__GMP_DECLSPEC void mpn_ior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1628#define mpn_iorn_n __MPN(iorn_n)
1629__GMP_DECLSPEC void mpn_iorn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1630#define mpn_nior_n __MPN(nior_n)
1631__GMP_DECLSPEC void mpn_nior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1632#define mpn_xor_n __MPN(xor_n)
1633__GMP_DECLSPEC void mpn_xor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1634#define mpn_xnor_n __MPN(xnor_n)
1635__GMP_DECLSPEC void mpn_xnor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1636
1637#define mpn_copyi __MPN(copyi)
1638__GMP_DECLSPEC void mpn_copyi (mp_ptr, mp_srcptr, mp_size_t);
1639#define mpn_copyd __MPN(copyd)
1640__GMP_DECLSPEC void mpn_copyd (mp_ptr, mp_srcptr, mp_size_t);
1641#define mpn_zero __MPN(zero)
1642__GMP_DECLSPEC void mpn_zero (mp_ptr, mp_size_t);
1643
1644#define mpn_cnd_add_n __MPN(cnd_add_n)
1645__GMP_DECLSPEC mp_limb_t mpn_cnd_add_n (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1646#define mpn_cnd_sub_n __MPN(cnd_sub_n)
1647__GMP_DECLSPEC mp_limb_t mpn_cnd_sub_n (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1648
1649#define mpn_sec_add_1 __MPN(sec_add_1)
1650__GMP_DECLSPEC mp_limb_t mpn_sec_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
1651#define mpn_sec_add_1_itch __MPN(sec_add_1_itch)
1652__GMP_DECLSPEC mp_size_t mpn_sec_add_1_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
1653
1654#define mpn_sec_sub_1 __MPN(sec_sub_1)
1655__GMP_DECLSPEC mp_limb_t mpn_sec_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
1656#define mpn_sec_sub_1_itch __MPN(sec_sub_1_itch)
1657__GMP_DECLSPEC mp_size_t mpn_sec_sub_1_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
1658
1659#define mpn_cnd_swap  __MPN(cnd_swap)
1660__GMP_DECLSPEC void mpn_cnd_swap (mp_limb_t, volatile mp_limb_t *, volatile mp_limb_t *, mp_size_t);
1661
1662#define mpn_sec_mul __MPN(sec_mul)
1663__GMP_DECLSPEC void mpn_sec_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
1664#define mpn_sec_mul_itch __MPN(sec_mul_itch)
1665__GMP_DECLSPEC mp_size_t mpn_sec_mul_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
1666
1667#define mpn_sec_sqr __MPN(sec_sqr)
1668__GMP_DECLSPEC void mpn_sec_sqr (mp_ptr, mp_srcptr, mp_size_t, mp_ptr);
1669#define mpn_sec_sqr_itch __MPN(sec_sqr_itch)
1670__GMP_DECLSPEC mp_size_t mpn_sec_sqr_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
1671
1672#define mpn_sec_powm __MPN(sec_powm)
1673__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);
1674#define mpn_sec_powm_itch __MPN(sec_powm_itch)
1675__GMP_DECLSPEC mp_size_t mpn_sec_powm_itch (mp_size_t, mp_bitcnt_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
1676
1677#define mpn_sec_tabselect __MPN(sec_tabselect)
1678__GMP_DECLSPEC void mpn_sec_tabselect (volatile mp_limb_t *, volatile const mp_limb_t *, mp_size_t, mp_size_t, mp_size_t);
1679
1680#define mpn_sec_div_qr __MPN(sec_div_qr)
1681__GMP_DECLSPEC mp_limb_t mpn_sec_div_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
1682#define mpn_sec_div_qr_itch __MPN(sec_div_qr_itch)
1683__GMP_DECLSPEC mp_size_t mpn_sec_div_qr_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
1684#define mpn_sec_div_r __MPN(sec_div_r)
1685__GMP_DECLSPEC void mpn_sec_div_r (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
1686#define mpn_sec_div_r_itch __MPN(sec_div_r_itch)
1687__GMP_DECLSPEC mp_size_t mpn_sec_div_r_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
1688
1689#define mpn_sec_invert __MPN(sec_invert)
1690__GMP_DECLSPEC int mpn_sec_invert (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_bitcnt_t, mp_ptr);
1691#define mpn_sec_invert_itch __MPN(sec_invert_itch)
1692__GMP_DECLSPEC mp_size_t mpn_sec_invert_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
1693
1694#define mpn_udiv_w_sdiv __MPN(udiv_w_sdiv)
1695__GMP_DECLSPEC mp_limb_t mpn_udiv_w_sdiv (mp_limb_t *, mp_limb_t, mp_limb_t, mp_limb_t);
1696
1697
1698/**************** mpz inlines ****************/
1699
1700/* The following are provided as inlines where possible, but always exist as
1701   library functions too, for binary compatibility.
1702
1703   Within gmp itself this inlining generally isn't relied on, since it
1704   doesn't get done for all compilers, whereas if something is worth
1705   inlining then it's worth arranging always.
1706
1707   There are two styles of inlining here.  When the same bit of code is
1708   wanted for the inline as for the library version, then __GMP_FORCE_foo
1709   arranges for that code to be emitted and the __GMP_EXTERN_INLINE
1710   directive suppressed, eg. mpz_fits_uint_p.  When a different bit of code
1711   is wanted for the inline than for the library version, then
1712   __GMP_FORCE_foo arranges the inline to be suppressed, eg. mpz_abs.  */
1713
1714#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_abs)
1715__GMP_EXTERN_INLINE void
1716mpz_abs (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1717{
1718  if (__gmp_w != __gmp_u)
1719    mpz_set (__gmp_w, __gmp_u);
1720  __gmp_w->_mp_size = __GMP_ABS (__gmp_w->_mp_size);
1721}
1722#endif
1723
1724#if GMP_NAIL_BITS == 0
1725#define __GMPZ_FITS_UTYPE_P(z,maxval)					\
1726  mp_size_t  __gmp_n = z->_mp_size;					\
1727  mp_ptr  __gmp_p = z->_mp_d;						\
1728  return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval));
1729#else
1730#define __GMPZ_FITS_UTYPE_P(z,maxval)					\
1731  mp_size_t  __gmp_n = z->_mp_size;					\
1732  mp_ptr  __gmp_p = z->_mp_d;						\
1733  return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval)	\
1734	  || (__gmp_n == 2 && __gmp_p[1] <= ((mp_limb_t) maxval >> GMP_NUMB_BITS)));
1735#endif
1736
1737#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_uint_p)
1738#if ! defined (__GMP_FORCE_mpz_fits_uint_p)
1739__GMP_EXTERN_INLINE
1740#endif
1741int
1742mpz_fits_uint_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1743{
1744  __GMPZ_FITS_UTYPE_P (__gmp_z, UINT_MAX);
1745}
1746#endif
1747
1748#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ulong_p)
1749#if ! defined (__GMP_FORCE_mpz_fits_ulong_p)
1750__GMP_EXTERN_INLINE
1751#endif
1752int
1753mpz_fits_ulong_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1754{
1755  __GMPZ_FITS_UTYPE_P (__gmp_z, ULONG_MAX);
1756}
1757#endif
1758
1759#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ushort_p)
1760#if ! defined (__GMP_FORCE_mpz_fits_ushort_p)
1761__GMP_EXTERN_INLINE
1762#endif
1763int
1764mpz_fits_ushort_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1765{
1766  __GMPZ_FITS_UTYPE_P (__gmp_z, USHRT_MAX);
1767}
1768#endif
1769
1770#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_get_ui)
1771#if ! defined (__GMP_FORCE_mpz_get_ui)
1772__GMP_EXTERN_INLINE
1773#endif
1774unsigned long
1775mpz_get_ui (mpz_srcptr __gmp_z) __GMP_NOTHROW
1776{
1777  mp_ptr __gmp_p = __gmp_z->_mp_d;
1778  mp_size_t __gmp_n = __gmp_z->_mp_size;
1779  mp_limb_t __gmp_l = __gmp_p[0];
1780  /* This is a "#if" rather than a plain "if" so as to avoid gcc warnings
1781     about "<< GMP_NUMB_BITS" exceeding the type size, and to avoid Borland
1782     C++ 6.0 warnings about condition always true for something like
1783     "ULONG_MAX < GMP_NUMB_MASK".  */
1784#if GMP_NAIL_BITS == 0 || defined (_LONG_LONG_LIMB)
1785  /* limb==long and no nails, or limb==longlong, one limb is enough */
1786  return (__gmp_n != 0 ? __gmp_l : 0);
1787#else
1788  /* limb==long and nails, need two limbs when available */
1789  __gmp_n = __GMP_ABS (__gmp_n);
1790  if (__gmp_n <= 1)
1791    return (__gmp_n != 0 ? __gmp_l : 0);
1792  else
1793    return __gmp_l + (__gmp_p[1] << GMP_NUMB_BITS);
1794#endif
1795}
1796#endif
1797
1798#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_getlimbn)
1799#if ! defined (__GMP_FORCE_mpz_getlimbn)
1800__GMP_EXTERN_INLINE
1801#endif
1802mp_limb_t
1803mpz_getlimbn (mpz_srcptr __gmp_z, mp_size_t __gmp_n) __GMP_NOTHROW
1804{
1805  mp_limb_t  __gmp_result = 0;
1806  if (__GMP_LIKELY (__gmp_n >= 0 && __gmp_n < __GMP_ABS (__gmp_z->_mp_size)))
1807    __gmp_result = __gmp_z->_mp_d[__gmp_n];
1808  return __gmp_result;
1809}
1810#endif
1811
1812#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_neg)
1813__GMP_EXTERN_INLINE void
1814mpz_neg (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1815{
1816  if (__gmp_w != __gmp_u)
1817    mpz_set (__gmp_w, __gmp_u);
1818  __gmp_w->_mp_size = - __gmp_w->_mp_size;
1819}
1820#endif
1821
1822#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_perfect_square_p)
1823#if ! defined (__GMP_FORCE_mpz_perfect_square_p)
1824__GMP_EXTERN_INLINE
1825#endif
1826int
1827mpz_perfect_square_p (mpz_srcptr __gmp_a)
1828{
1829  mp_size_t __gmp_asize;
1830  int       __gmp_result;
1831
1832  __gmp_asize = __gmp_a->_mp_size;
1833  __gmp_result = (__gmp_asize >= 0);  /* zero is a square, negatives are not */
1834  if (__GMP_LIKELY (__gmp_asize > 0))
1835    __gmp_result = mpn_perfect_square_p (__gmp_a->_mp_d, __gmp_asize);
1836  return __gmp_result;
1837}
1838#endif
1839
1840#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_popcount)
1841#if ! defined (__GMP_FORCE_mpz_popcount)
1842__GMP_EXTERN_INLINE
1843#endif
1844mp_bitcnt_t
1845mpz_popcount (mpz_srcptr __gmp_u) __GMP_NOTHROW
1846{
1847  mp_size_t      __gmp_usize;
1848  mp_bitcnt_t    __gmp_result;
1849
1850  __gmp_usize = __gmp_u->_mp_size;
1851  __gmp_result = (__gmp_usize < 0 ? ~ __GMP_CAST (mp_bitcnt_t, 0) : __GMP_CAST (mp_bitcnt_t, 0));
1852  if (__GMP_LIKELY (__gmp_usize > 0))
1853    __gmp_result =  mpn_popcount (__gmp_u->_mp_d, __gmp_usize);
1854  return __gmp_result;
1855}
1856#endif
1857
1858#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_set_q)
1859#if ! defined (__GMP_FORCE_mpz_set_q)
1860__GMP_EXTERN_INLINE
1861#endif
1862void
1863mpz_set_q (mpz_ptr __gmp_w, mpq_srcptr __gmp_u)
1864{
1865  mpz_tdiv_q (__gmp_w, mpq_numref (__gmp_u), mpq_denref (__gmp_u));
1866}
1867#endif
1868
1869#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_size)
1870#if ! defined (__GMP_FORCE_mpz_size)
1871__GMP_EXTERN_INLINE
1872#endif
1873size_t
1874mpz_size (mpz_srcptr __gmp_z) __GMP_NOTHROW
1875{
1876  return __GMP_ABS (__gmp_z->_mp_size);
1877}
1878#endif
1879
1880
1881/**************** mpq inlines ****************/
1882
1883#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_abs)
1884__GMP_EXTERN_INLINE void
1885mpq_abs (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1886{
1887  if (__gmp_w != __gmp_u)
1888    mpq_set (__gmp_w, __gmp_u);
1889  __gmp_w->_mp_num._mp_size = __GMP_ABS (__gmp_w->_mp_num._mp_size);
1890}
1891#endif
1892
1893#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_neg)
1894__GMP_EXTERN_INLINE void
1895mpq_neg (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1896{
1897  if (__gmp_w != __gmp_u)
1898    mpq_set (__gmp_w, __gmp_u);
1899  __gmp_w->_mp_num._mp_size = - __gmp_w->_mp_num._mp_size;
1900}
1901#endif
1902
1903
1904/**************** mpn inlines ****************/
1905
1906/* The comments with __GMPN_ADD_1 below apply here too.
1907
1908   The test for FUNCTION returning 0 should predict well.  If it's assumed
1909   {yp,ysize} will usually have a random number of bits then the high limb
1910   won't be full and a carry out will occur a good deal less than 50% of the
1911   time.
1912
1913   ysize==0 isn't a documented feature, but is used internally in a few
1914   places.
1915
1916   Producing cout last stops it using up a register during the main part of
1917   the calculation, though gcc (as of 3.0) on an "if (mpn_add (...))"
1918   doesn't seem able to move the true and false legs of the conditional up
1919   to the two places cout is generated.  */
1920
1921#define __GMPN_AORS(cout, wp, xp, xsize, yp, ysize, FUNCTION, TEST)     \
1922  do {                                                                  \
1923    mp_size_t  __gmp_i;                                                 \
1924    mp_limb_t  __gmp_x;                                                 \
1925                                                                        \
1926    /* ASSERT ((ysize) >= 0); */                                        \
1927    /* ASSERT ((xsize) >= (ysize)); */                                  \
1928    /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, xp, xsize)); */      \
1929    /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, yp, ysize)); */      \
1930                                                                        \
1931    __gmp_i = (ysize);                                                  \
1932    if (__gmp_i != 0)                                                   \
1933      {                                                                 \
1934        if (FUNCTION (wp, xp, yp, __gmp_i))                             \
1935          {                                                             \
1936            do                                                          \
1937              {                                                         \
1938                if (__gmp_i >= (xsize))                                 \
1939                  {                                                     \
1940                    (cout) = 1;                                         \
1941                    goto __gmp_done;                                    \
1942                  }                                                     \
1943                __gmp_x = (xp)[__gmp_i];                                \
1944              }                                                         \
1945            while (TEST);                                               \
1946          }                                                             \
1947      }                                                                 \
1948    if ((wp) != (xp))                                                   \
1949      __GMPN_COPY_REST (wp, xp, xsize, __gmp_i);                        \
1950    (cout) = 0;                                                         \
1951  __gmp_done:                                                           \
1952    ;                                                                   \
1953  } while (0)
1954
1955#define __GMPN_ADD(cout, wp, xp, xsize, yp, ysize)              \
1956  __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_add_n,       \
1957               (((wp)[__gmp_i++] = (__gmp_x + 1) & GMP_NUMB_MASK) == 0))
1958#define __GMPN_SUB(cout, wp, xp, xsize, yp, ysize)              \
1959  __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_sub_n,       \
1960               (((wp)[__gmp_i++] = (__gmp_x - 1) & GMP_NUMB_MASK), __gmp_x == 0))
1961
1962
1963/* The use of __gmp_i indexing is designed to ensure a compile time src==dst
1964   remains nice and clear to the compiler, so that __GMPN_COPY_REST can
1965   disappear, and the load/add/store gets a chance to become a
1966   read-modify-write on CISC CPUs.
1967
1968   Alternatives:
1969
1970   Using a pair of pointers instead of indexing would be possible, but gcc
1971   isn't able to recognise compile-time src==dst in that case, even when the
1972   pointers are incremented more or less together.  Other compilers would
1973   very likely have similar difficulty.
1974
1975   gcc could use "if (__builtin_constant_p(src==dst) && src==dst)" or
1976   similar to detect a compile-time src==dst.  This works nicely on gcc
1977   2.95.x, it's not good on gcc 3.0 where __builtin_constant_p(p==p) seems
1978   to be always false, for a pointer p.  But the current code form seems
1979   good enough for src==dst anyway.
1980
1981   gcc on x86 as usual doesn't give particularly good flags handling for the
1982   carry/borrow detection.  It's tempting to want some multi instruction asm
1983   blocks to help it, and this was tried, but in truth there's only a few
1984   instructions to save and any gain is all too easily lost by register
1985   juggling setting up for the asm.  */
1986
1987#if GMP_NAIL_BITS == 0
1988#define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
1989  do {								\
1990    mp_size_t  __gmp_i;						\
1991    mp_limb_t  __gmp_x, __gmp_r;                                \
1992								\
1993    /* ASSERT ((n) >= 1); */					\
1994    /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
1995								\
1996    __gmp_x = (src)[0];						\
1997    __gmp_r = __gmp_x OP (v);                                   \
1998    (dst)[0] = __gmp_r;						\
1999    if (CB (__gmp_r, __gmp_x, (v)))                             \
2000      {								\
2001	(cout) = 1;						\
2002	for (__gmp_i = 1; __gmp_i < (n);)                       \
2003	  {							\
2004	    __gmp_x = (src)[__gmp_i];                           \
2005	    __gmp_r = __gmp_x OP 1;                             \
2006	    (dst)[__gmp_i] = __gmp_r;                           \
2007	    ++__gmp_i;						\
2008	    if (!CB (__gmp_r, __gmp_x, 1))                      \
2009	      {							\
2010		if ((src) != (dst))				\
2011		  __GMPN_COPY_REST (dst, src, n, __gmp_i);      \
2012		(cout) = 0;					\
2013		break;						\
2014	      }							\
2015	  }							\
2016      }								\
2017    else							\
2018      {								\
2019	if ((src) != (dst))					\
2020	  __GMPN_COPY_REST (dst, src, n, 1);			\
2021	(cout) = 0;						\
2022      }								\
2023  } while (0)
2024#endif
2025
2026#if GMP_NAIL_BITS >= 1
2027#define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
2028  do {								\
2029    mp_size_t  __gmp_i;						\
2030    mp_limb_t  __gmp_x, __gmp_r;				\
2031								\
2032    /* ASSERT ((n) >= 1); */					\
2033    /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
2034								\
2035    __gmp_x = (src)[0];						\
2036    __gmp_r = __gmp_x OP (v);					\
2037    (dst)[0] = __gmp_r & GMP_NUMB_MASK;				\
2038    if (__gmp_r >> GMP_NUMB_BITS != 0)				\
2039      {								\
2040	(cout) = 1;						\
2041	for (__gmp_i = 1; __gmp_i < (n);)			\
2042	  {							\
2043	    __gmp_x = (src)[__gmp_i];				\
2044	    __gmp_r = __gmp_x OP 1;				\
2045	    (dst)[__gmp_i] = __gmp_r & GMP_NUMB_MASK;		\
2046	    ++__gmp_i;						\
2047	    if (__gmp_r >> GMP_NUMB_BITS == 0)			\
2048	      {							\
2049		if ((src) != (dst))				\
2050		  __GMPN_COPY_REST (dst, src, n, __gmp_i);	\
2051		(cout) = 0;					\
2052		break;						\
2053	      }							\
2054	  }							\
2055      }								\
2056    else							\
2057      {								\
2058	if ((src) != (dst))					\
2059	  __GMPN_COPY_REST (dst, src, n, 1);			\
2060	(cout) = 0;						\
2061      }								\
2062  } while (0)
2063#endif
2064
2065#define __GMPN_ADDCB(r,x,y) ((r) < (y))
2066#define __GMPN_SUBCB(r,x,y) ((x) < (y))
2067
2068#define __GMPN_ADD_1(cout, dst, src, n, v)	     \
2069  __GMPN_AORS_1(cout, dst, src, n, v, +, __GMPN_ADDCB)
2070#define __GMPN_SUB_1(cout, dst, src, n, v)	     \
2071  __GMPN_AORS_1(cout, dst, src, n, v, -, __GMPN_SUBCB)
2072
2073
2074/* Compare {xp,size} and {yp,size}, setting "result" to positive, zero or
2075   negative.  size==0 is allowed.  On random data usually only one limb will
2076   need to be examined to get a result, so it's worth having it inline.  */
2077#define __GMPN_CMP(result, xp, yp, size)                                \
2078  do {                                                                  \
2079    mp_size_t  __gmp_i;                                                 \
2080    mp_limb_t  __gmp_x, __gmp_y;                                        \
2081                                                                        \
2082    /* ASSERT ((size) >= 0); */                                         \
2083                                                                        \
2084    (result) = 0;                                                       \
2085    __gmp_i = (size);                                                   \
2086    while (--__gmp_i >= 0)                                              \
2087      {                                                                 \
2088        __gmp_x = (xp)[__gmp_i];                                        \
2089        __gmp_y = (yp)[__gmp_i];                                        \
2090        if (__gmp_x != __gmp_y)                                         \
2091          {                                                             \
2092            /* Cannot use __gmp_x - __gmp_y, may overflow an "int" */   \
2093            (result) = (__gmp_x > __gmp_y ? 1 : -1);                    \
2094            break;                                                      \
2095          }                                                             \
2096      }                                                                 \
2097  } while (0)
2098
2099
2100#if defined (__GMPN_COPY) && ! defined (__GMPN_COPY_REST)
2101#define __GMPN_COPY_REST(dst, src, size, start)                 \
2102  do {                                                          \
2103    /* ASSERT ((start) >= 0); */                                \
2104    /* ASSERT ((start) <= (size)); */                           \
2105    __GMPN_COPY ((dst)+(start), (src)+(start), (size)-(start)); \
2106  } while (0)
2107#endif
2108
2109/* Copy {src,size} to {dst,size}, starting at "start".  This is designed to
2110   keep the indexing dst[j] and src[j] nice and simple for __GMPN_ADD_1,
2111   __GMPN_ADD, etc.  */
2112#if ! defined (__GMPN_COPY_REST)
2113#define __GMPN_COPY_REST(dst, src, size, start)                 \
2114  do {                                                          \
2115    mp_size_t __gmp_j;                                          \
2116    /* ASSERT ((size) >= 0); */                                 \
2117    /* ASSERT ((start) >= 0); */                                \
2118    /* ASSERT ((start) <= (size)); */                           \
2119    /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */     \
2120    __GMP_CRAY_Pragma ("_CRI ivdep");                           \
2121    for (__gmp_j = (start); __gmp_j < (size); __gmp_j++)        \
2122      (dst)[__gmp_j] = (src)[__gmp_j];                          \
2123  } while (0)
2124#endif
2125
2126/* Enhancement: Use some of the smarter code from gmp-impl.h.  Maybe use
2127   mpn_copyi if there's a native version, and if we don't mind demanding
2128   binary compatibility for it (on targets which use it).  */
2129
2130#if ! defined (__GMPN_COPY)
2131#define __GMPN_COPY(dst, src, size)   __GMPN_COPY_REST (dst, src, size, 0)
2132#endif
2133
2134
2135#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add)
2136#if ! defined (__GMP_FORCE_mpn_add)
2137__GMP_EXTERN_INLINE
2138#endif
2139mp_limb_t
2140mpn_add (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2141{
2142  mp_limb_t  __gmp_c;
2143  __GMPN_ADD (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2144  return __gmp_c;
2145}
2146#endif
2147
2148#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add_1)
2149#if ! defined (__GMP_FORCE_mpn_add_1)
2150__GMP_EXTERN_INLINE
2151#endif
2152mp_limb_t
2153mpn_add_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2154{
2155  mp_limb_t  __gmp_c;
2156  __GMPN_ADD_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2157  return __gmp_c;
2158}
2159#endif
2160
2161#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_cmp)
2162#if ! defined (__GMP_FORCE_mpn_cmp)
2163__GMP_EXTERN_INLINE
2164#endif
2165int
2166mpn_cmp (mp_srcptr __gmp_xp, mp_srcptr __gmp_yp, mp_size_t __gmp_size) __GMP_NOTHROW
2167{
2168  int __gmp_result;
2169  __GMPN_CMP (__gmp_result, __gmp_xp, __gmp_yp, __gmp_size);
2170  return __gmp_result;
2171}
2172#endif
2173
2174#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_zero_p)
2175#if ! defined (__GMP_FORCE_mpn_zero_p)
2176__GMP_EXTERN_INLINE
2177#endif
2178int
2179mpn_zero_p (mp_srcptr __gmp_p, mp_size_t __gmp_n) __GMP_NOTHROW
2180{
2181  /* if (__GMP_LIKELY (__gmp_n > 0)) */
2182    do {
2183      if (__gmp_p[--__gmp_n] != 0)
2184	return 0;
2185    } while (__gmp_n != 0);
2186  return 1;
2187}
2188#endif
2189
2190#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub)
2191#if ! defined (__GMP_FORCE_mpn_sub)
2192__GMP_EXTERN_INLINE
2193#endif
2194mp_limb_t
2195mpn_sub (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2196{
2197  mp_limb_t  __gmp_c;
2198  __GMPN_SUB (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2199  return __gmp_c;
2200}
2201#endif
2202
2203#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub_1)
2204#if ! defined (__GMP_FORCE_mpn_sub_1)
2205__GMP_EXTERN_INLINE
2206#endif
2207mp_limb_t
2208mpn_sub_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2209{
2210  mp_limb_t  __gmp_c;
2211  __GMPN_SUB_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2212  return __gmp_c;
2213}
2214#endif
2215
2216#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_neg)
2217#if ! defined (__GMP_FORCE_mpn_neg)
2218__GMP_EXTERN_INLINE
2219#endif
2220mp_limb_t
2221mpn_neg (mp_ptr __gmp_rp, mp_srcptr __gmp_up, mp_size_t __gmp_n)
2222{
2223  while (*__gmp_up == 0) /* Low zero limbs are unchanged by negation. */
2224    {
2225      *__gmp_rp = 0;
2226      if (!--__gmp_n) /* All zero */
2227	return 0;
2228      ++__gmp_up; ++__gmp_rp;
2229    }
2230
2231  *__gmp_rp = (- *__gmp_up) & GMP_NUMB_MASK;
2232
2233  if (--__gmp_n) /* Higher limbs get complemented. */
2234    mpn_com (++__gmp_rp, ++__gmp_up, __gmp_n);
2235
2236  return 1;
2237}
2238#endif
2239
2240#if defined (__cplusplus)
2241}
2242#endif
2243
2244
2245/* Allow faster testing for negative, zero, and positive.  */
2246#define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0)
2247#define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0)
2248#define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0)
2249
2250/* When using GCC, optimize certain common comparisons.  */
2251#if defined (__GNUC__) && __GNUC__ >= 2
2252#define mpz_cmp_ui(Z,UI) \
2253  (__builtin_constant_p (UI) && (UI) == 0				\
2254   ? mpz_sgn (Z) : _mpz_cmp_ui (Z,UI))
2255#define mpz_cmp_si(Z,SI)						\
2256  (__builtin_constant_p ((SI) >= 0) && (SI) >= 0			\
2257   ? mpz_cmp_ui (Z, __GMP_CAST (unsigned long, SI))			\
2258   : _mpz_cmp_si (Z,SI))
2259#define mpq_cmp_ui(Q,NUI,DUI)					\
2260  (__builtin_constant_p (NUI) && (NUI) == 0 ? mpq_sgn (Q)	\
2261   : __builtin_constant_p ((NUI) == (DUI)) && (NUI) == (DUI)	\
2262   ? mpz_cmp (mpq_numref (Q), mpq_denref (Q))			\
2263   : _mpq_cmp_ui (Q,NUI,DUI))
2264#define mpq_cmp_si(q,n,d)				\
2265  (__builtin_constant_p ((n) >= 0) && (n) >= 0		\
2266   ? mpq_cmp_ui (q, __GMP_CAST (unsigned long, n), d)	\
2267   : _mpq_cmp_si (q, n, d))
2268#else
2269#define mpz_cmp_ui(Z,UI) _mpz_cmp_ui (Z,UI)
2270#define mpz_cmp_si(Z,UI) _mpz_cmp_si (Z,UI)
2271#define mpq_cmp_ui(Q,NUI,DUI) _mpq_cmp_ui (Q,NUI,DUI)
2272#define mpq_cmp_si(q,n,d)  _mpq_cmp_si(q,n,d)
2273#endif
2274
2275
2276/* Using "&" rather than "&&" means these can come out branch-free.  Every
2277   mpz_t has at least one limb allocated, so fetching the low limb is always
2278   allowed.  */
2279#define mpz_odd_p(z)   (((z)->_mp_size != 0) & __GMP_CAST (int, (z)->_mp_d[0]))
2280#define mpz_even_p(z)  (! mpz_odd_p (z))
2281
2282
2283/**************** C++ routines ****************/
2284
2285#ifdef __cplusplus
2286__GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpz_srcptr);
2287__GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpq_srcptr);
2288__GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpf_srcptr);
2289__GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpz_ptr);
2290__GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpq_ptr);
2291__GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpf_ptr);
2292#endif
2293
2294
2295/* Source-level compatibility with GMP 2 and earlier. */
2296#define mpn_divmod(qp,np,nsize,dp,dsize) \
2297  mpn_divrem (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dp, dsize)
2298
2299/* Source-level compatibility with GMP 1.  */
2300#define mpz_mdiv	mpz_fdiv_q
2301#define mpz_mdivmod	mpz_fdiv_qr
2302#define mpz_mmod	mpz_fdiv_r
2303#define mpz_mdiv_ui	mpz_fdiv_q_ui
2304#define mpz_mdivmod_ui(q,r,n,d) \
2305  (((r) == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d))
2306#define mpz_mmod_ui(r,n,d) \
2307  (((r) == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d))
2308
2309/* Useful synonyms, but not quite compatible with GMP 1.  */
2310#define mpz_div		mpz_fdiv_q
2311#define mpz_divmod	mpz_fdiv_qr
2312#define mpz_div_ui	mpz_fdiv_q_ui
2313#define mpz_divmod_ui	mpz_fdiv_qr_ui
2314#define mpz_div_2exp	mpz_fdiv_q_2exp
2315#define mpz_mod_2exp	mpz_fdiv_r_2exp
2316
2317enum
2318{
2319  GMP_ERROR_NONE = 0,
2320  GMP_ERROR_UNSUPPORTED_ARGUMENT = 1,
2321  GMP_ERROR_DIVISION_BY_ZERO = 2,
2322  GMP_ERROR_SQRT_OF_NEGATIVE = 4,
2323  GMP_ERROR_INVALID_ARGUMENT = 8
2324};
2325
2326/* Define CC and CFLAGS which were used to build this version of GMP */
2327#define __GMP_CC "gcc"
2328#define __GMP_CFLAGS "-O2 -pedantic -fomit-frame-pointer -m68000"
2329
2330/* Major version number is the value of __GNU_MP__ too, above. */
2331#define __GNU_MP_VERSION            6
2332#define __GNU_MP_VERSION_MINOR      2
2333#define __GNU_MP_VERSION_PATCHLEVEL 1
2334#define __GNU_MP_RELEASE (__GNU_MP_VERSION * 10000 + __GNU_MP_VERSION_MINOR * 100 + __GNU_MP_VERSION_PATCHLEVEL)
2335
2336#define __GMP_H__
2337#endif /* __GMP_H__ */
2338