1/* Definitions for GNU multiple precision functions.   -*- mode: c -*-
2
3Copyright 1991, 1993, 1994, 1995, 1996, 1997, 1999, 2000, 2001, 2002,
42003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012 Free
5Software Foundation, Inc.
6
7This file is part of the GNU MP Library.
8
9The GNU MP Library is free software; you can redistribute it and/or modify
10it under the terms of the GNU Lesser General Public License as published by
11the Free Software Foundation; either version 3 of the License, or (at your
12option) any later version.
13
14The GNU MP Library is distributed in the hope that it will be useful, but
15WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
16or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
17License for more details.
18
19You should have received a copy of the GNU Lesser General Public License
20along with the GNU MP Library.  If not, see http://www.gnu.org/licenses/.  */
21
22#ifndef __GMP_H__
23
24#if defined (__cplusplus)
25#include <iosfwd>   /* for std::istream, std::ostream, std::string */
26#include <cstdio>
27#endif
28
29
30/* Instantiated by configure. */
31#if ! defined (__GMP_WITHIN_CONFIGURE)
32#define __GMP_HAVE_HOST_CPU_FAMILY_power   0
33#define __GMP_HAVE_HOST_CPU_FAMILY_powerpc 0
34#define GMP_LIMB_BITS                      32
35#define GMP_NAIL_BITS                      0
36#endif
37#define GMP_NUMB_BITS     (GMP_LIMB_BITS - GMP_NAIL_BITS)
38#define GMP_NUMB_MASK     ((~ __GMP_CAST (mp_limb_t, 0)) >> GMP_NAIL_BITS)
39#define GMP_NUMB_MAX      GMP_NUMB_MASK
40#define GMP_NAIL_MASK     (~ GMP_NUMB_MASK)
41
42
43/* The following (everything under ifndef __GNU_MP__) must be identical in
44   gmp.h and mp.h to allow both to be included in an application or during
45   the library build.  */
46#ifndef __GNU_MP__
47#define __GNU_MP__ 5
48
49#define __need_size_t  /* tell gcc stddef.h we only want size_t */
50#if defined (__cplusplus)
51#include <cstddef>     /* for size_t */
52#else
53#include <stddef.h>    /* for size_t */
54#endif
55#undef __need_size_t
56
57/* Instantiated by configure. */
58#if ! defined (__GMP_WITHIN_CONFIGURE)
59/* #undef _LONG_LONG_LIMB */
60#define __GMP_LIBGMP_DLL  0
61#endif
62
63
64/* __GMP_DECLSPEC supports Windows DLL versions of libgmp, and is empty in
65   all other circumstances.
66
67   When compiling objects for libgmp, __GMP_DECLSPEC is an export directive,
68   or when compiling for an application it's an import directive.  The two
69   cases are differentiated by __GMP_WITHIN_GMP defined by the GMP Makefiles
70   (and not defined from an application).
71
72   __GMP_DECLSPEC_XX is similarly used for libgmpxx.  __GMP_WITHIN_GMPXX
73   indicates when building libgmpxx, and in that case libgmpxx functions are
74   exports, but libgmp functions which might get called are imports.
75
76   Libtool DLL_EXPORT define is not used.
77
78   There's no attempt to support GMP built both static and DLL.  Doing so
79   would mean applications would have to tell us which of the two is going
80   to be used when linking, and that seems very tedious and error prone if
81   using GMP by hand, and equally tedious from a package since autoconf and
82   automake don't give much help.
83
84   __GMP_DECLSPEC is required on all documented global functions and
85   variables, the various internals in gmp-impl.h etc can be left unadorned.
86   But internals used by the test programs or speed measuring programs
87   should have __GMP_DECLSPEC, and certainly constants or variables must
88   have it or the wrong address will be resolved.
89
90   In gcc __declspec can go at either the start or end of a prototype.
91
92   In Microsoft C __declspec must go at the start, or after the type like
93   void __declspec(...) *foo()".  There's no __dllexport or anything to
94   guard against someone foolish #defining dllexport.  _export used to be
95   available, but no longer.
96
97   In Borland C _export still exists, but needs to go after the type, like
98   "void _export foo();".  Would have to change the __GMP_DECLSPEC syntax to
99   make use of that.  Probably more trouble than it's worth.  */
100
101#if defined (__GNUC__)
102#define __GMP_DECLSPEC_EXPORT  __declspec(__dllexport__)
103#define __GMP_DECLSPEC_IMPORT  __declspec(__dllimport__)
104#endif
105#if defined (_MSC_VER) || defined (__BORLANDC__)
106#define __GMP_DECLSPEC_EXPORT  __declspec(dllexport)
107#define __GMP_DECLSPEC_IMPORT  __declspec(dllimport)
108#endif
109#ifdef __WATCOMC__
110#define __GMP_DECLSPEC_EXPORT  __export
111#define __GMP_DECLSPEC_IMPORT  __import
112#endif
113#ifdef __IBMC__
114#define __GMP_DECLSPEC_EXPORT  _Export
115#define __GMP_DECLSPEC_IMPORT  _Import
116#endif
117
118#if __GMP_LIBGMP_DLL
119#ifdef __GMP_WITHIN_GMP
120/* compiling to go into a DLL libgmp */
121#define __GMP_DECLSPEC  __GMP_DECLSPEC_EXPORT
122#else
123/* compiling to go into an application which will link to a DLL libgmp */
124#define __GMP_DECLSPEC  __GMP_DECLSPEC_IMPORT
125#endif
126#else
127/* all other cases */
128#define __GMP_DECLSPEC
129#endif
130
131
132#ifdef __GMP_SHORT_LIMB
133typedef unsigned int		mp_limb_t;
134typedef int			mp_limb_signed_t;
135#else
136#ifdef _LONG_LONG_LIMB
137typedef unsigned long long int	mp_limb_t;
138typedef long long int		mp_limb_signed_t;
139#else
140typedef unsigned long int	mp_limb_t;
141typedef long int		mp_limb_signed_t;
142#endif
143#endif
144typedef unsigned long int	mp_bitcnt_t;
145
146/* For reference, note that the name __mpz_struct gets into C++ mangled
147   function names, which means although the "__" suggests an internal, we
148   must leave this name for binary compatibility.  */
149typedef struct
150{
151  int _mp_alloc;		/* Number of *limbs* allocated and pointed
152				   to by the _mp_d field.  */
153  int _mp_size;			/* abs(_mp_size) is the number of limbs the
154				   last field points to.  If _mp_size is
155				   negative this is a negative number.  */
156  mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
157} __mpz_struct;
158
159#endif /* __GNU_MP__ */
160
161
162typedef __mpz_struct MP_INT;    /* gmp 1 source compatibility */
163typedef __mpz_struct mpz_t[1];
164
165typedef mp_limb_t *		mp_ptr;
166typedef const mp_limb_t *	mp_srcptr;
167#if defined (_CRAY) && ! defined (_CRAYMPP)
168/* plain `int' is much faster (48 bits) */
169#define __GMP_MP_SIZE_T_INT     1
170typedef int			mp_size_t;
171typedef int			mp_exp_t;
172#else
173#define __GMP_MP_SIZE_T_INT     0
174typedef long int		mp_size_t;
175typedef long int		mp_exp_t;
176#endif
177
178typedef struct
179{
180  __mpz_struct _mp_num;
181  __mpz_struct _mp_den;
182} __mpq_struct;
183
184typedef __mpq_struct MP_RAT;    /* gmp 1 source compatibility */
185typedef __mpq_struct mpq_t[1];
186
187typedef struct
188{
189  int _mp_prec;			/* Max precision, in number of `mp_limb_t's.
190				   Set by mpf_init and modified by
191				   mpf_set_prec.  The area pointed to by the
192				   _mp_d field contains `prec' + 1 limbs.  */
193  int _mp_size;			/* abs(_mp_size) is the number of limbs the
194				   last field points to.  If _mp_size is
195				   negative this is a negative number.  */
196  mp_exp_t _mp_exp;		/* Exponent, in the base of `mp_limb_t'.  */
197  mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
198} __mpf_struct;
199
200/* typedef __mpf_struct MP_FLOAT; */
201typedef __mpf_struct mpf_t[1];
202
203/* Available random number generation algorithms.  */
204typedef enum
205{
206  GMP_RAND_ALG_DEFAULT = 0,
207  GMP_RAND_ALG_LC = GMP_RAND_ALG_DEFAULT /* Linear congruential.  */
208} gmp_randalg_t;
209
210/* Random state struct.  */
211typedef struct
212{
213  mpz_t _mp_seed;	  /* _mp_d member points to state of the generator. */
214  gmp_randalg_t _mp_alg;  /* Currently unused. */
215  union {
216    void *_mp_lc;         /* Pointer to function pointers structure.  */
217  } _mp_algdata;
218} __gmp_randstate_struct;
219typedef __gmp_randstate_struct gmp_randstate_t[1];
220
221/* Types for function declarations in gmp files.  */
222/* ??? Should not pollute user name space with these ??? */
223typedef const __mpz_struct *mpz_srcptr;
224typedef __mpz_struct *mpz_ptr;
225typedef const __mpf_struct *mpf_srcptr;
226typedef __mpf_struct *mpf_ptr;
227typedef const __mpq_struct *mpq_srcptr;
228typedef __mpq_struct *mpq_ptr;
229
230
231/* This is not wanted in mp.h, so put it outside the __GNU_MP__ common
232   section. */
233#if __GMP_LIBGMP_DLL
234#ifdef __GMP_WITHIN_GMPXX
235/* compiling to go into a DLL libgmpxx */
236#define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_EXPORT
237#else
238/* compiling to go into a application which will link to a DLL libgmpxx */
239#define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_IMPORT
240#endif
241#else
242/* all other cases */
243#define __GMP_DECLSPEC_XX
244#endif
245
246
247#ifndef __MPN
248#define __MPN(x) __gmpn_##x
249#endif
250
251/* For reference, "defined(EOF)" cannot be used here.  In g++ 2.95.4,
252   <iostream> defines EOF but not FILE.  */
253#if defined (FILE)                                              \
254  || defined (H_STDIO)                                          \
255  || defined (_H_STDIO)               /* AIX */                 \
256  || defined (_STDIO_H)               /* glibc, Sun, SCO */     \
257  || defined (_STDIO_H_)              /* BSD, OSF */            \
258  || defined (__STDIO_H)              /* Borland */             \
259  || defined (__STDIO_H__)            /* IRIX */                \
260  || defined (_STDIO_INCLUDED)        /* HPUX */                \
261  || defined (__dj_include_stdio_h_)  /* DJGPP */               \
262  || defined (_FILE_DEFINED)          /* Microsoft */           \
263  || defined (__STDIO__)              /* Apple MPW MrC */       \
264  || defined (_MSL_STDIO_H)           /* Metrowerks */          \
265  || defined (_STDIO_H_INCLUDED)      /* QNX4 */		\
266  || defined (_ISO_STDIO_ISO_H)       /* Sun C++ */		\
267  || defined (__STDIO_LOADED)         /* VMS */
268#define _GMP_H_HAVE_FILE 1
269#endif
270
271/* In ISO C, if a prototype involving "struct obstack *" is given without
272   that structure defined, then the struct is scoped down to just the
273   prototype, causing a conflict if it's subsequently defined for real.  So
274   only give prototypes if we've got obstack.h.  */
275#if defined (_OBSTACK_H)   /* glibc <obstack.h> */
276#define _GMP_H_HAVE_OBSTACK 1
277#endif
278
279/* The prototypes for gmp_vprintf etc are provided only if va_list is
280   available, via an application having included <stdarg.h> or <varargs.h>.
281   Usually va_list is a typedef so can't be tested directly, but C99
282   specifies that va_start is a macro (and it was normally a macro on past
283   systems too), so look for that.
284
285   <stdio.h> will define some sort of va_list for vprintf and vfprintf, but
286   let's not bother trying to use that since it's not standard and since
287   application uses for gmp_vprintf etc will almost certainly require the
288   whole <stdarg.h> or <varargs.h> anyway.  */
289
290#ifdef va_start
291#define _GMP_H_HAVE_VA_LIST 1
292#endif
293
294/* Test for gcc >= maj.min, as per __GNUC_PREREQ in glibc */
295#if defined (__GNUC__) && defined (__GNUC_MINOR__)
296#define __GMP_GNUC_PREREQ(maj, min) \
297  ((__GNUC__ << 16) + __GNUC_MINOR__ >= ((maj) << 16) + (min))
298#else
299#define __GMP_GNUC_PREREQ(maj, min)  0
300#endif
301
302/* "pure" is in gcc 2.96 and up, see "(gcc)Function Attributes".  Basically
303   it means a function does nothing but examine its arguments and memory
304   (global or via arguments) to generate a return value, but changes nothing
305   and has no side-effects.  __GMP_NO_ATTRIBUTE_CONST_PURE lets
306   tune/common.c etc turn this off when trying to write timing loops.  */
307#if __GMP_GNUC_PREREQ (2,96) && ! defined (__GMP_NO_ATTRIBUTE_CONST_PURE)
308#define __GMP_ATTRIBUTE_PURE   __attribute__ ((__pure__))
309#else
310#define __GMP_ATTRIBUTE_PURE
311#endif
312
313
314/* __GMP_CAST allows us to use static_cast in C++, so our macros are clean
315   to "g++ -Wold-style-cast".
316
317   Casts in "extern inline" code within an extern "C" block don't induce
318   these warnings, so __GMP_CAST only needs to be used on documented
319   macros.  */
320
321#ifdef __cplusplus
322#define __GMP_CAST(type, expr)  (static_cast<type> (expr))
323#else
324#define __GMP_CAST(type, expr)  ((type) (expr))
325#endif
326
327
328/* An empty "throw ()" means the function doesn't throw any C++ exceptions,
329   this can save some stack frame info in applications.
330
331   Currently it's given only on functions which never divide-by-zero etc,
332   don't allocate memory, and are expected to never need to allocate memory.
333   This leaves open the possibility of a C++ throw from a future GMP
334   exceptions scheme.
335
336   mpz_set_ui etc are omitted to leave open the lazy allocation scheme
337   described in doc/tasks.html.  mpz_get_d etc are omitted to leave open
338   exceptions for float overflows.
339
340   Note that __GMP_NOTHROW must be given on any inlines the same as on their
341   prototypes (for g++ at least, where they're used together).  Note also
342   that g++ 3.0 demands that __GMP_NOTHROW is before other attributes like
343   __GMP_ATTRIBUTE_PURE.  */
344
345#if defined (__cplusplus)
346#define __GMP_NOTHROW  throw ()
347#else
348#define __GMP_NOTHROW
349#endif
350
351
352/* PORTME: What other compilers have a useful "extern inline"?  "static
353   inline" would be an acceptable substitute if the compiler (or linker)
354   discards unused statics.  */
355
356 /* gcc has __inline__ in all modes, including strict ansi.  Give a prototype
357    for an inline too, so as to correctly specify "dllimport" on windows, in
358    case the function is called rather than inlined.
359    GCC 4.3 and above with -std=c99 or -std=gnu99 implements ISO C99
360    inline semantics, unless -fgnu89-inline is used.  */
361#ifdef __GNUC__
362#if (defined __GNUC_STDC_INLINE__) || \
363    (__GNUC__ == 4 && __GNUC_MINOR__ >= 2) || \
364    (__GNUC__ > 4)
365#define __GMP_EXTERN_INLINE extern __inline__ __attribute__ ((__gnu_inline__))
366#endif
367#define __GMP_INLINE_PROTOTYPES  1
368#endif
369
370/* DEC C (eg. version 5.9) supports "static __inline foo()", even in -std1
371   strict ANSI mode.  Inlining is done even when not optimizing (ie. -O0
372   mode, which is the default), but an unnecessary local copy of foo is
373   emitted unless -O is used.  "extern __inline" is accepted, but the
374   "extern" appears to be ignored, ie. it becomes a plain global function
375   but which is inlined within its file.  Don't know if all old versions of
376   DEC C supported __inline, but as a start let's do the right thing for
377   current versions.  */
378#ifdef __DECC
379#define __GMP_EXTERN_INLINE  static __inline
380#endif
381
382/* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict
383   ANSI mode (__STDC__ is 1 in that mode).  Inlining only actually takes
384   place under -O.  Without -O "foo" seems to be emitted whether it's used
385   or not, which is wasteful.  "extern inline foo()" isn't useful, the
386   "extern" is apparently ignored, so foo is inlined if possible but also
387   emitted as a global, which causes multiple definition errors when
388   building a shared libgmp.  */
389#ifdef __SCO_VERSION__
390#if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
391  && ! defined (__GMP_EXTERN_INLINE)
392#define __GMP_EXTERN_INLINE  static inline
393#endif
394#endif
395
396/* Microsoft's C compiler accepts __inline */
397#ifdef _MSC_VER
398#define __GMP_EXTERN_INLINE  __inline
399#endif
400
401/* Recent enough Sun C compilers want "inline" */
402#if defined (__SUNPRO_C) && __SUNPRO_C >= 0x560 \
403  && ! defined (__GMP_EXTERN_INLINE)
404#define __GMP_EXTERN_INLINE  inline
405#endif
406
407/* Somewhat older Sun C compilers want "static inline" */
408#if defined (__SUNPRO_C) && __SUNPRO_C >= 0x540 \
409  && ! defined (__GMP_EXTERN_INLINE)
410#define __GMP_EXTERN_INLINE  static inline
411#endif
412
413
414/* C++ always has "inline" and since it's a normal feature the linker should
415   discard duplicate non-inlined copies, or if it doesn't then that's a
416   problem for everyone, not just GMP.  */
417#if defined (__cplusplus) && ! defined (__GMP_EXTERN_INLINE)
418#define __GMP_EXTERN_INLINE  inline
419#endif
420
421/* Don't do any inlining within a configure run, since if the compiler ends
422   up emitting copies of the code into the object file it can end up
423   demanding the various support routines (like mpn_popcount) for linking,
424   making the "alloca" test and perhaps others fail.  And on hppa ia64 a
425   pre-release gcc 3.2 was seen not respecting the "extern" in "extern
426   __inline__", triggering this problem too.  */
427#if defined (__GMP_WITHIN_CONFIGURE) && ! __GMP_WITHIN_CONFIGURE_INLINE
428#undef __GMP_EXTERN_INLINE
429#endif
430
431/* By default, don't give a prototype when there's going to be an inline
432   version.  Note in particular that Cray C++ objects to the combination of
433   prototype and inline.  */
434#ifdef __GMP_EXTERN_INLINE
435#ifndef __GMP_INLINE_PROTOTYPES
436#define __GMP_INLINE_PROTOTYPES  0
437#endif
438#else
439#define __GMP_INLINE_PROTOTYPES  1
440#endif
441
442
443#define __GMP_ABS(x)   ((x) >= 0 ? (x) : -(x))
444#define __GMP_MAX(h,i) ((h) > (i) ? (h) : (i))
445
446/* __GMP_USHRT_MAX is not "~ (unsigned short) 0" because short is promoted
447   to int by "~".  */
448#define __GMP_UINT_MAX   (~ (unsigned) 0)
449#define __GMP_ULONG_MAX  (~ (unsigned long) 0)
450#define __GMP_USHRT_MAX  ((unsigned short) ~0)
451
452
453/* __builtin_expect is in gcc 3.0, and not in 2.95. */
454#if __GMP_GNUC_PREREQ (3,0)
455#define __GMP_LIKELY(cond)    __builtin_expect ((cond) != 0, 1)
456#define __GMP_UNLIKELY(cond)  __builtin_expect ((cond) != 0, 0)
457#else
458#define __GMP_LIKELY(cond)    (cond)
459#define __GMP_UNLIKELY(cond)  (cond)
460#endif
461
462#ifdef _CRAY
463#define __GMP_CRAY_Pragma(str)  _Pragma (str)
464#else
465#define __GMP_CRAY_Pragma(str)
466#endif
467
468
469/* Allow direct user access to numerator and denominator of a mpq_t object.  */
470#define mpq_numref(Q) (&((Q)->_mp_num))
471#define mpq_denref(Q) (&((Q)->_mp_den))
472
473
474#if defined (__cplusplus)
475extern "C" {
476using std::FILE;
477#endif
478
479#define mp_set_memory_functions __gmp_set_memory_functions
480__GMP_DECLSPEC void mp_set_memory_functions (void *(*) (size_t),
481				      void *(*) (void *, size_t, size_t),
482				      void (*) (void *, size_t)) __GMP_NOTHROW;
483
484#define mp_get_memory_functions __gmp_get_memory_functions
485__GMP_DECLSPEC void mp_get_memory_functions (void *(**) (size_t),
486                                      void *(**) (void *, size_t, size_t),
487                                      void (**) (void *, size_t)) __GMP_NOTHROW;
488
489#define mp_bits_per_limb __gmp_bits_per_limb
490__GMP_DECLSPEC extern const int mp_bits_per_limb;
491
492#define gmp_errno __gmp_errno
493__GMP_DECLSPEC extern int gmp_errno;
494
495#define gmp_version __gmp_version
496__GMP_DECLSPEC extern const char * const gmp_version;
497
498
499/**************** Random number routines.  ****************/
500
501/* obsolete */
502#define gmp_randinit __gmp_randinit
503__GMP_DECLSPEC void gmp_randinit (gmp_randstate_t, gmp_randalg_t, ...);
504
505#define gmp_randinit_default __gmp_randinit_default
506__GMP_DECLSPEC void gmp_randinit_default (gmp_randstate_t);
507
508#define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
509__GMP_DECLSPEC void gmp_randinit_lc_2exp (gmp_randstate_t, mpz_srcptr, unsigned long int, mp_bitcnt_t);
510
511#define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size
512__GMP_DECLSPEC int gmp_randinit_lc_2exp_size (gmp_randstate_t, mp_bitcnt_t);
513
514#define gmp_randinit_mt __gmp_randinit_mt
515__GMP_DECLSPEC void gmp_randinit_mt (gmp_randstate_t);
516
517#define gmp_randinit_set __gmp_randinit_set
518__GMP_DECLSPEC void gmp_randinit_set (gmp_randstate_t, const __gmp_randstate_struct *);
519
520#define gmp_randseed __gmp_randseed
521__GMP_DECLSPEC void gmp_randseed (gmp_randstate_t, mpz_srcptr);
522
523#define gmp_randseed_ui __gmp_randseed_ui
524__GMP_DECLSPEC void gmp_randseed_ui (gmp_randstate_t, unsigned long int);
525
526#define gmp_randclear __gmp_randclear
527__GMP_DECLSPEC void gmp_randclear (gmp_randstate_t);
528
529#define gmp_urandomb_ui __gmp_urandomb_ui
530__GMP_DECLSPEC unsigned long gmp_urandomb_ui (gmp_randstate_t, unsigned long);
531
532#define gmp_urandomm_ui __gmp_urandomm_ui
533__GMP_DECLSPEC unsigned long gmp_urandomm_ui (gmp_randstate_t, unsigned long);
534
535
536/**************** Formatted output routines.  ****************/
537
538#define gmp_asprintf __gmp_asprintf
539__GMP_DECLSPEC int gmp_asprintf (char **, const char *, ...);
540
541#define gmp_fprintf __gmp_fprintf
542#ifdef _GMP_H_HAVE_FILE
543__GMP_DECLSPEC int gmp_fprintf (FILE *, const char *, ...);
544#endif
545
546#define gmp_obstack_printf __gmp_obstack_printf
547#if defined (_GMP_H_HAVE_OBSTACK)
548__GMP_DECLSPEC int gmp_obstack_printf (struct obstack *, const char *, ...);
549#endif
550
551#define gmp_obstack_vprintf __gmp_obstack_vprintf
552#if defined (_GMP_H_HAVE_OBSTACK) && defined (_GMP_H_HAVE_VA_LIST)
553__GMP_DECLSPEC int gmp_obstack_vprintf (struct obstack *, const char *, va_list);
554#endif
555
556#define gmp_printf __gmp_printf
557__GMP_DECLSPEC int gmp_printf (const char *, ...);
558
559#define gmp_snprintf __gmp_snprintf
560__GMP_DECLSPEC int gmp_snprintf (char *, size_t, const char *, ...);
561
562#define gmp_sprintf __gmp_sprintf
563__GMP_DECLSPEC int gmp_sprintf (char *, const char *, ...);
564
565#define gmp_vasprintf __gmp_vasprintf
566#if defined (_GMP_H_HAVE_VA_LIST)
567__GMP_DECLSPEC int gmp_vasprintf (char **, const char *, va_list);
568#endif
569
570#define gmp_vfprintf __gmp_vfprintf
571#if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
572__GMP_DECLSPEC int gmp_vfprintf (FILE *, const char *, va_list);
573#endif
574
575#define gmp_vprintf __gmp_vprintf
576#if defined (_GMP_H_HAVE_VA_LIST)
577__GMP_DECLSPEC int gmp_vprintf (const char *, va_list);
578#endif
579
580#define gmp_vsnprintf __gmp_vsnprintf
581#if defined (_GMP_H_HAVE_VA_LIST)
582__GMP_DECLSPEC int gmp_vsnprintf (char *, size_t, const char *, va_list);
583#endif
584
585#define gmp_vsprintf __gmp_vsprintf
586#if defined (_GMP_H_HAVE_VA_LIST)
587__GMP_DECLSPEC int gmp_vsprintf (char *, const char *, va_list);
588#endif
589
590
591/**************** Formatted input routines.  ****************/
592
593#define gmp_fscanf __gmp_fscanf
594#ifdef _GMP_H_HAVE_FILE
595__GMP_DECLSPEC int gmp_fscanf (FILE *, const char *, ...);
596#endif
597
598#define gmp_scanf __gmp_scanf
599__GMP_DECLSPEC int gmp_scanf (const char *, ...);
600
601#define gmp_sscanf __gmp_sscanf
602__GMP_DECLSPEC int gmp_sscanf (const char *, const char *, ...);
603
604#define gmp_vfscanf __gmp_vfscanf
605#if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
606__GMP_DECLSPEC int gmp_vfscanf (FILE *, const char *, va_list);
607#endif
608
609#define gmp_vscanf __gmp_vscanf
610#if defined (_GMP_H_HAVE_VA_LIST)
611__GMP_DECLSPEC int gmp_vscanf (const char *, va_list);
612#endif
613
614#define gmp_vsscanf __gmp_vsscanf
615#if defined (_GMP_H_HAVE_VA_LIST)
616__GMP_DECLSPEC int gmp_vsscanf (const char *, const char *, va_list);
617#endif
618
619
620/**************** Integer (i.e. Z) routines.  ****************/
621
622#define _mpz_realloc __gmpz_realloc
623#define mpz_realloc __gmpz_realloc
624__GMP_DECLSPEC void *_mpz_realloc (mpz_ptr, mp_size_t);
625
626#define mpz_abs __gmpz_abs
627#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs)
628__GMP_DECLSPEC void mpz_abs (mpz_ptr, mpz_srcptr);
629#endif
630
631#define mpz_add __gmpz_add
632__GMP_DECLSPEC void mpz_add (mpz_ptr, mpz_srcptr, mpz_srcptr);
633
634#define mpz_add_ui __gmpz_add_ui
635__GMP_DECLSPEC void mpz_add_ui (mpz_ptr, mpz_srcptr, unsigned long int);
636
637#define mpz_addmul __gmpz_addmul
638__GMP_DECLSPEC void mpz_addmul (mpz_ptr, mpz_srcptr, mpz_srcptr);
639
640#define mpz_addmul_ui __gmpz_addmul_ui
641__GMP_DECLSPEC void mpz_addmul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
642
643#define mpz_and __gmpz_and
644__GMP_DECLSPEC void mpz_and (mpz_ptr, mpz_srcptr, mpz_srcptr);
645
646#define mpz_array_init __gmpz_array_init
647__GMP_DECLSPEC void mpz_array_init (mpz_ptr, mp_size_t, mp_size_t);
648
649#define mpz_bin_ui __gmpz_bin_ui
650__GMP_DECLSPEC void mpz_bin_ui (mpz_ptr, mpz_srcptr, unsigned long int);
651
652#define mpz_bin_uiui __gmpz_bin_uiui
653__GMP_DECLSPEC void mpz_bin_uiui (mpz_ptr, unsigned long int, unsigned long int);
654
655#define mpz_cdiv_q __gmpz_cdiv_q
656__GMP_DECLSPEC void mpz_cdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
657
658#define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
659__GMP_DECLSPEC void mpz_cdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
660
661#define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
662__GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
663
664#define mpz_cdiv_qr __gmpz_cdiv_qr
665__GMP_DECLSPEC void mpz_cdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
666
667#define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
668__GMP_DECLSPEC unsigned long int mpz_cdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
669
670#define mpz_cdiv_r __gmpz_cdiv_r
671__GMP_DECLSPEC void mpz_cdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
672
673#define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
674__GMP_DECLSPEC void mpz_cdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
675
676#define mpz_cdiv_r_ui __gmpz_cdiv_r_ui
677__GMP_DECLSPEC unsigned long int mpz_cdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
678
679#define mpz_cdiv_ui __gmpz_cdiv_ui
680__GMP_DECLSPEC unsigned long int mpz_cdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
681
682#define mpz_clear __gmpz_clear
683__GMP_DECLSPEC void mpz_clear (mpz_ptr);
684
685#define mpz_clears __gmpz_clears
686__GMP_DECLSPEC void mpz_clears (mpz_ptr, ...);
687
688#define mpz_clrbit __gmpz_clrbit
689__GMP_DECLSPEC void mpz_clrbit (mpz_ptr, mp_bitcnt_t);
690
691#define mpz_cmp __gmpz_cmp
692__GMP_DECLSPEC int mpz_cmp (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
693
694#define mpz_cmp_d __gmpz_cmp_d
695__GMP_DECLSPEC int mpz_cmp_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
696
697#define _mpz_cmp_si __gmpz_cmp_si
698__GMP_DECLSPEC int _mpz_cmp_si (mpz_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
699
700#define _mpz_cmp_ui __gmpz_cmp_ui
701__GMP_DECLSPEC int _mpz_cmp_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
702
703#define mpz_cmpabs __gmpz_cmpabs
704__GMP_DECLSPEC int mpz_cmpabs (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
705
706#define mpz_cmpabs_d __gmpz_cmpabs_d
707__GMP_DECLSPEC int mpz_cmpabs_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
708
709#define mpz_cmpabs_ui __gmpz_cmpabs_ui
710__GMP_DECLSPEC int mpz_cmpabs_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
711
712#define mpz_com __gmpz_com
713__GMP_DECLSPEC void mpz_com (mpz_ptr, mpz_srcptr);
714
715#define mpz_combit __gmpz_combit
716__GMP_DECLSPEC void mpz_combit (mpz_ptr, mp_bitcnt_t);
717
718#define mpz_congruent_p __gmpz_congruent_p
719__GMP_DECLSPEC int mpz_congruent_p (mpz_srcptr, mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
720
721#define mpz_congruent_2exp_p __gmpz_congruent_2exp_p
722__GMP_DECLSPEC int mpz_congruent_2exp_p (mpz_srcptr, mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
723
724#define mpz_congruent_ui_p __gmpz_congruent_ui_p
725__GMP_DECLSPEC int mpz_congruent_ui_p (mpz_srcptr, unsigned long, unsigned long) __GMP_ATTRIBUTE_PURE;
726
727#define mpz_divexact __gmpz_divexact
728__GMP_DECLSPEC void mpz_divexact (mpz_ptr, mpz_srcptr, mpz_srcptr);
729
730#define mpz_divexact_ui __gmpz_divexact_ui
731__GMP_DECLSPEC void mpz_divexact_ui (mpz_ptr, mpz_srcptr, unsigned long);
732
733#define mpz_divisible_p __gmpz_divisible_p
734__GMP_DECLSPEC int mpz_divisible_p (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
735
736#define mpz_divisible_ui_p __gmpz_divisible_ui_p
737__GMP_DECLSPEC int mpz_divisible_ui_p (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
738
739#define mpz_divisible_2exp_p __gmpz_divisible_2exp_p
740__GMP_DECLSPEC int mpz_divisible_2exp_p (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
741
742#define mpz_dump __gmpz_dump
743__GMP_DECLSPEC void mpz_dump (mpz_srcptr);
744
745#define mpz_export __gmpz_export
746__GMP_DECLSPEC void *mpz_export (void *, size_t *, int, size_t, int, size_t, mpz_srcptr);
747
748#define mpz_fac_ui __gmpz_fac_ui
749__GMP_DECLSPEC void mpz_fac_ui (mpz_ptr, unsigned long int);
750
751#define mpz_2fac_ui __gmpz_2fac_ui
752__GMP_DECLSPEC void mpz_2fac_ui (mpz_ptr, unsigned long int);
753
754#define mpz_mfac_uiui __gmpz_mfac_uiui
755__GMP_DECLSPEC void mpz_mfac_uiui (mpz_ptr, unsigned long int, unsigned long int);
756
757#define mpz_primorial_ui __gmpz_primorial_ui
758__GMP_DECLSPEC void mpz_primorial_ui (mpz_ptr, unsigned long int);
759
760#define mpz_fdiv_q __gmpz_fdiv_q
761__GMP_DECLSPEC void mpz_fdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
762
763#define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
764__GMP_DECLSPEC void mpz_fdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
765
766#define mpz_fdiv_q_ui __gmpz_fdiv_q_ui
767__GMP_DECLSPEC unsigned long int mpz_fdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
768
769#define mpz_fdiv_qr __gmpz_fdiv_qr
770__GMP_DECLSPEC void mpz_fdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
771
772#define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui
773__GMP_DECLSPEC unsigned long int mpz_fdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
774
775#define mpz_fdiv_r __gmpz_fdiv_r
776__GMP_DECLSPEC void mpz_fdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
777
778#define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
779__GMP_DECLSPEC void mpz_fdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
780
781#define mpz_fdiv_r_ui __gmpz_fdiv_r_ui
782__GMP_DECLSPEC unsigned long int mpz_fdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
783
784#define mpz_fdiv_ui __gmpz_fdiv_ui
785__GMP_DECLSPEC unsigned long int mpz_fdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
786
787#define mpz_fib_ui __gmpz_fib_ui
788__GMP_DECLSPEC void mpz_fib_ui (mpz_ptr, unsigned long int);
789
790#define mpz_fib2_ui __gmpz_fib2_ui
791__GMP_DECLSPEC void mpz_fib2_ui (mpz_ptr, mpz_ptr, unsigned long int);
792
793#define mpz_fits_sint_p __gmpz_fits_sint_p
794__GMP_DECLSPEC int mpz_fits_sint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
795
796#define mpz_fits_slong_p __gmpz_fits_slong_p
797__GMP_DECLSPEC int mpz_fits_slong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
798
799#define mpz_fits_sshort_p __gmpz_fits_sshort_p
800__GMP_DECLSPEC int mpz_fits_sshort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
801
802#define mpz_fits_uint_p __gmpz_fits_uint_p
803#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_uint_p)
804__GMP_DECLSPEC int mpz_fits_uint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
805#endif
806
807#define mpz_fits_ulong_p __gmpz_fits_ulong_p
808#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ulong_p)
809__GMP_DECLSPEC int mpz_fits_ulong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
810#endif
811
812#define mpz_fits_ushort_p __gmpz_fits_ushort_p
813#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ushort_p)
814__GMP_DECLSPEC int mpz_fits_ushort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
815#endif
816
817#define mpz_gcd __gmpz_gcd
818__GMP_DECLSPEC void mpz_gcd (mpz_ptr, mpz_srcptr, mpz_srcptr);
819
820#define mpz_gcd_ui __gmpz_gcd_ui
821__GMP_DECLSPEC unsigned long int mpz_gcd_ui (mpz_ptr, mpz_srcptr, unsigned long int);
822
823#define mpz_gcdext __gmpz_gcdext
824__GMP_DECLSPEC void mpz_gcdext (mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
825
826#define mpz_get_d __gmpz_get_d
827__GMP_DECLSPEC double mpz_get_d (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
828
829#define mpz_get_d_2exp __gmpz_get_d_2exp
830__GMP_DECLSPEC double mpz_get_d_2exp (signed long int *, mpz_srcptr);
831
832#define mpz_get_si __gmpz_get_si
833__GMP_DECLSPEC /* signed */ long int mpz_get_si (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
834
835#define mpz_get_str __gmpz_get_str
836__GMP_DECLSPEC char *mpz_get_str (char *, int, mpz_srcptr);
837
838#define mpz_get_ui __gmpz_get_ui
839#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_get_ui)
840__GMP_DECLSPEC unsigned long int mpz_get_ui (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
841#endif
842
843#define mpz_getlimbn __gmpz_getlimbn
844#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_getlimbn)
845__GMP_DECLSPEC mp_limb_t mpz_getlimbn (mpz_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
846#endif
847
848#define mpz_hamdist __gmpz_hamdist
849__GMP_DECLSPEC mp_bitcnt_t mpz_hamdist (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
850
851#define mpz_import __gmpz_import
852__GMP_DECLSPEC void mpz_import (mpz_ptr, size_t, int, size_t, int, size_t, const void *);
853
854#define mpz_init __gmpz_init
855__GMP_DECLSPEC void mpz_init (mpz_ptr);
856
857#define mpz_init2 __gmpz_init2
858__GMP_DECLSPEC void mpz_init2 (mpz_ptr, mp_bitcnt_t);
859
860#define mpz_inits __gmpz_inits
861__GMP_DECLSPEC void mpz_inits (mpz_ptr, ...);
862
863#define mpz_init_set __gmpz_init_set
864__GMP_DECLSPEC void mpz_init_set (mpz_ptr, mpz_srcptr);
865
866#define mpz_init_set_d __gmpz_init_set_d
867__GMP_DECLSPEC void mpz_init_set_d (mpz_ptr, double);
868
869#define mpz_init_set_si __gmpz_init_set_si
870__GMP_DECLSPEC void mpz_init_set_si (mpz_ptr, signed long int);
871
872#define mpz_init_set_str __gmpz_init_set_str
873__GMP_DECLSPEC int mpz_init_set_str (mpz_ptr, const char *, int);
874
875#define mpz_init_set_ui __gmpz_init_set_ui
876__GMP_DECLSPEC void mpz_init_set_ui (mpz_ptr, unsigned long int);
877
878#define mpz_inp_raw __gmpz_inp_raw
879#ifdef _GMP_H_HAVE_FILE
880__GMP_DECLSPEC size_t mpz_inp_raw (mpz_ptr, FILE *);
881#endif
882
883#define mpz_inp_str __gmpz_inp_str
884#ifdef _GMP_H_HAVE_FILE
885__GMP_DECLSPEC size_t mpz_inp_str (mpz_ptr, FILE *, int);
886#endif
887
888#define mpz_invert __gmpz_invert
889__GMP_DECLSPEC int mpz_invert (mpz_ptr, mpz_srcptr, mpz_srcptr);
890
891#define mpz_ior __gmpz_ior
892__GMP_DECLSPEC void mpz_ior (mpz_ptr, mpz_srcptr, mpz_srcptr);
893
894#define mpz_jacobi __gmpz_jacobi
895__GMP_DECLSPEC int mpz_jacobi (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
896
897#define mpz_kronecker mpz_jacobi  /* alias */
898
899#define mpz_kronecker_si __gmpz_kronecker_si
900__GMP_DECLSPEC int mpz_kronecker_si (mpz_srcptr, long) __GMP_ATTRIBUTE_PURE;
901
902#define mpz_kronecker_ui __gmpz_kronecker_ui
903__GMP_DECLSPEC int mpz_kronecker_ui (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
904
905#define mpz_si_kronecker __gmpz_si_kronecker
906__GMP_DECLSPEC int mpz_si_kronecker (long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
907
908#define mpz_ui_kronecker __gmpz_ui_kronecker
909__GMP_DECLSPEC int mpz_ui_kronecker (unsigned long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
910
911#define mpz_lcm __gmpz_lcm
912__GMP_DECLSPEC void mpz_lcm (mpz_ptr, mpz_srcptr, mpz_srcptr);
913
914#define mpz_lcm_ui __gmpz_lcm_ui
915__GMP_DECLSPEC void mpz_lcm_ui (mpz_ptr, mpz_srcptr, unsigned long);
916
917#define mpz_legendre mpz_jacobi  /* alias */
918
919#define mpz_lucnum_ui __gmpz_lucnum_ui
920__GMP_DECLSPEC void mpz_lucnum_ui (mpz_ptr, unsigned long int);
921
922#define mpz_lucnum2_ui __gmpz_lucnum2_ui
923__GMP_DECLSPEC void mpz_lucnum2_ui (mpz_ptr, mpz_ptr, unsigned long int);
924
925#define mpz_millerrabin __gmpz_millerrabin
926__GMP_DECLSPEC int mpz_millerrabin (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
927
928#define mpz_mod __gmpz_mod
929__GMP_DECLSPEC void mpz_mod (mpz_ptr, mpz_srcptr, mpz_srcptr);
930
931#define mpz_mod_ui mpz_fdiv_r_ui /* same as fdiv_r because divisor unsigned */
932
933#define mpz_mul __gmpz_mul
934__GMP_DECLSPEC void mpz_mul (mpz_ptr, mpz_srcptr, mpz_srcptr);
935
936#define mpz_mul_2exp __gmpz_mul_2exp
937__GMP_DECLSPEC void mpz_mul_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
938
939#define mpz_mul_si __gmpz_mul_si
940__GMP_DECLSPEC void mpz_mul_si (mpz_ptr, mpz_srcptr, long int);
941
942#define mpz_mul_ui __gmpz_mul_ui
943__GMP_DECLSPEC void mpz_mul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
944
945#define mpz_neg __gmpz_neg
946#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_neg)
947__GMP_DECLSPEC void mpz_neg (mpz_ptr, mpz_srcptr);
948#endif
949
950#define mpz_nextprime __gmpz_nextprime
951__GMP_DECLSPEC void mpz_nextprime (mpz_ptr, mpz_srcptr);
952
953#define mpz_out_raw __gmpz_out_raw
954#ifdef _GMP_H_HAVE_FILE
955__GMP_DECLSPEC size_t mpz_out_raw (FILE *, mpz_srcptr);
956#endif
957
958#define mpz_out_str __gmpz_out_str
959#ifdef _GMP_H_HAVE_FILE
960__GMP_DECLSPEC size_t mpz_out_str (FILE *, int, mpz_srcptr);
961#endif
962
963#define mpz_perfect_power_p __gmpz_perfect_power_p
964__GMP_DECLSPEC int mpz_perfect_power_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
965
966#define mpz_perfect_square_p __gmpz_perfect_square_p
967#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_perfect_square_p)
968__GMP_DECLSPEC int mpz_perfect_square_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
969#endif
970
971#define mpz_popcount __gmpz_popcount
972#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_popcount)
973__GMP_DECLSPEC mp_bitcnt_t mpz_popcount (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
974#endif
975
976#define mpz_pow_ui __gmpz_pow_ui
977__GMP_DECLSPEC void mpz_pow_ui (mpz_ptr, mpz_srcptr, unsigned long int);
978
979#define mpz_powm __gmpz_powm
980__GMP_DECLSPEC void mpz_powm (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
981
982#define mpz_powm_sec __gmpz_powm_sec
983__GMP_DECLSPEC void mpz_powm_sec (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
984
985#define mpz_powm_ui __gmpz_powm_ui
986__GMP_DECLSPEC void mpz_powm_ui (mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr);
987
988#define mpz_probab_prime_p __gmpz_probab_prime_p
989__GMP_DECLSPEC int mpz_probab_prime_p (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
990
991#define mpz_random __gmpz_random
992__GMP_DECLSPEC void mpz_random (mpz_ptr, mp_size_t);
993
994#define mpz_random2 __gmpz_random2
995__GMP_DECLSPEC void mpz_random2 (mpz_ptr, mp_size_t);
996
997#define mpz_realloc2 __gmpz_realloc2
998__GMP_DECLSPEC void mpz_realloc2 (mpz_ptr, mp_bitcnt_t);
999
1000#define mpz_remove __gmpz_remove
1001__GMP_DECLSPEC mp_bitcnt_t mpz_remove (mpz_ptr, mpz_srcptr, mpz_srcptr);
1002
1003#define mpz_root __gmpz_root
1004__GMP_DECLSPEC int mpz_root (mpz_ptr, mpz_srcptr, unsigned long int);
1005
1006#define mpz_rootrem __gmpz_rootrem
1007__GMP_DECLSPEC void mpz_rootrem (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
1008
1009#define mpz_rrandomb __gmpz_rrandomb
1010__GMP_DECLSPEC void mpz_rrandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
1011
1012#define mpz_scan0 __gmpz_scan0
1013__GMP_DECLSPEC mp_bitcnt_t mpz_scan0 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1014
1015#define mpz_scan1 __gmpz_scan1
1016__GMP_DECLSPEC mp_bitcnt_t mpz_scan1 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1017
1018#define mpz_set __gmpz_set
1019__GMP_DECLSPEC void mpz_set (mpz_ptr, mpz_srcptr);
1020
1021#define mpz_set_d __gmpz_set_d
1022__GMP_DECLSPEC void mpz_set_d (mpz_ptr, double);
1023
1024#define mpz_set_f __gmpz_set_f
1025__GMP_DECLSPEC void mpz_set_f (mpz_ptr, mpf_srcptr);
1026
1027#define mpz_set_q __gmpz_set_q
1028#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_set_q)
1029__GMP_DECLSPEC void mpz_set_q (mpz_ptr, mpq_srcptr);
1030#endif
1031
1032#define mpz_set_si __gmpz_set_si
1033__GMP_DECLSPEC void mpz_set_si (mpz_ptr, signed long int);
1034
1035#define mpz_set_str __gmpz_set_str
1036__GMP_DECLSPEC int mpz_set_str (mpz_ptr, const char *, int);
1037
1038#define mpz_set_ui __gmpz_set_ui
1039__GMP_DECLSPEC void mpz_set_ui (mpz_ptr, unsigned long int);
1040
1041#define mpz_setbit __gmpz_setbit
1042__GMP_DECLSPEC void mpz_setbit (mpz_ptr, mp_bitcnt_t);
1043
1044#define mpz_size __gmpz_size
1045#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_size)
1046__GMP_DECLSPEC size_t mpz_size (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1047#endif
1048
1049#define mpz_sizeinbase __gmpz_sizeinbase
1050__GMP_DECLSPEC size_t mpz_sizeinbase (mpz_srcptr, int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1051
1052#define mpz_sqrt __gmpz_sqrt
1053__GMP_DECLSPEC void mpz_sqrt (mpz_ptr, mpz_srcptr);
1054
1055#define mpz_sqrtrem __gmpz_sqrtrem
1056__GMP_DECLSPEC void mpz_sqrtrem (mpz_ptr, mpz_ptr, mpz_srcptr);
1057
1058#define mpz_sub __gmpz_sub
1059__GMP_DECLSPEC void mpz_sub (mpz_ptr, mpz_srcptr, mpz_srcptr);
1060
1061#define mpz_sub_ui __gmpz_sub_ui
1062__GMP_DECLSPEC void mpz_sub_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1063
1064#define mpz_ui_sub __gmpz_ui_sub
1065__GMP_DECLSPEC void mpz_ui_sub (mpz_ptr, unsigned long int, mpz_srcptr);
1066
1067#define mpz_submul __gmpz_submul
1068__GMP_DECLSPEC void mpz_submul (mpz_ptr, mpz_srcptr, mpz_srcptr);
1069
1070#define mpz_submul_ui __gmpz_submul_ui
1071__GMP_DECLSPEC void mpz_submul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1072
1073#define mpz_swap __gmpz_swap
1074__GMP_DECLSPEC void mpz_swap (mpz_ptr, mpz_ptr) __GMP_NOTHROW;
1075
1076#define mpz_tdiv_ui __gmpz_tdiv_ui
1077__GMP_DECLSPEC unsigned long int mpz_tdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
1078
1079#define mpz_tdiv_q __gmpz_tdiv_q
1080__GMP_DECLSPEC void mpz_tdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
1081
1082#define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp
1083__GMP_DECLSPEC void mpz_tdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
1084
1085#define mpz_tdiv_q_ui __gmpz_tdiv_q_ui
1086__GMP_DECLSPEC unsigned long int mpz_tdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1087
1088#define mpz_tdiv_qr __gmpz_tdiv_qr
1089__GMP_DECLSPEC void mpz_tdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
1090
1091#define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui
1092__GMP_DECLSPEC unsigned long int mpz_tdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
1093
1094#define mpz_tdiv_r __gmpz_tdiv_r
1095__GMP_DECLSPEC void mpz_tdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
1096
1097#define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp
1098__GMP_DECLSPEC void mpz_tdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
1099
1100#define mpz_tdiv_r_ui __gmpz_tdiv_r_ui
1101__GMP_DECLSPEC unsigned long int mpz_tdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1102
1103#define mpz_tstbit __gmpz_tstbit
1104__GMP_DECLSPEC int mpz_tstbit (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1105
1106#define mpz_ui_pow_ui __gmpz_ui_pow_ui
1107__GMP_DECLSPEC void mpz_ui_pow_ui (mpz_ptr, unsigned long int, unsigned long int);
1108
1109#define mpz_urandomb __gmpz_urandomb
1110__GMP_DECLSPEC void mpz_urandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
1111
1112#define mpz_urandomm __gmpz_urandomm
1113__GMP_DECLSPEC void mpz_urandomm (mpz_ptr, gmp_randstate_t, mpz_srcptr);
1114
1115#define mpz_xor __gmpz_xor
1116#define mpz_eor __gmpz_xor
1117__GMP_DECLSPEC void mpz_xor (mpz_ptr, mpz_srcptr, mpz_srcptr);
1118
1119
1120/**************** Rational (i.e. Q) routines.  ****************/
1121
1122#define mpq_abs __gmpq_abs
1123#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_abs)
1124__GMP_DECLSPEC void mpq_abs (mpq_ptr, mpq_srcptr);
1125#endif
1126
1127#define mpq_add __gmpq_add
1128__GMP_DECLSPEC void mpq_add (mpq_ptr, mpq_srcptr, mpq_srcptr);
1129
1130#define mpq_canonicalize __gmpq_canonicalize
1131__GMP_DECLSPEC void mpq_canonicalize (mpq_ptr);
1132
1133#define mpq_clear __gmpq_clear
1134__GMP_DECLSPEC void mpq_clear (mpq_ptr);
1135
1136#define mpq_clears __gmpq_clears
1137__GMP_DECLSPEC void mpq_clears (mpq_ptr, ...);
1138
1139#define mpq_cmp __gmpq_cmp
1140__GMP_DECLSPEC int mpq_cmp (mpq_srcptr, mpq_srcptr) __GMP_ATTRIBUTE_PURE;
1141
1142#define _mpq_cmp_si __gmpq_cmp_si
1143__GMP_DECLSPEC int _mpq_cmp_si (mpq_srcptr, long, unsigned long) __GMP_ATTRIBUTE_PURE;
1144
1145#define _mpq_cmp_ui __gmpq_cmp_ui
1146__GMP_DECLSPEC int _mpq_cmp_ui (mpq_srcptr, unsigned long int, unsigned long int) __GMP_ATTRIBUTE_PURE;
1147
1148#define mpq_div __gmpq_div
1149__GMP_DECLSPEC void mpq_div (mpq_ptr, mpq_srcptr, mpq_srcptr);
1150
1151#define mpq_div_2exp __gmpq_div_2exp
1152__GMP_DECLSPEC void mpq_div_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
1153
1154#define mpq_equal __gmpq_equal
1155__GMP_DECLSPEC int mpq_equal (mpq_srcptr, mpq_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1156
1157#define mpq_get_num __gmpq_get_num
1158__GMP_DECLSPEC void mpq_get_num (mpz_ptr, mpq_srcptr);
1159
1160#define mpq_get_den __gmpq_get_den
1161__GMP_DECLSPEC void mpq_get_den (mpz_ptr, mpq_srcptr);
1162
1163#define mpq_get_d __gmpq_get_d
1164__GMP_DECLSPEC double mpq_get_d (mpq_srcptr) __GMP_ATTRIBUTE_PURE;
1165
1166#define mpq_get_str __gmpq_get_str
1167__GMP_DECLSPEC char *mpq_get_str (char *, int, mpq_srcptr);
1168
1169#define mpq_init __gmpq_init
1170__GMP_DECLSPEC void mpq_init (mpq_ptr);
1171
1172#define mpq_inits __gmpq_inits
1173__GMP_DECLSPEC void mpq_inits (mpq_ptr, ...);
1174
1175#define mpq_inp_str __gmpq_inp_str
1176#ifdef _GMP_H_HAVE_FILE
1177__GMP_DECLSPEC size_t mpq_inp_str (mpq_ptr, FILE *, int);
1178#endif
1179
1180#define mpq_inv __gmpq_inv
1181__GMP_DECLSPEC void mpq_inv (mpq_ptr, mpq_srcptr);
1182
1183#define mpq_mul __gmpq_mul
1184__GMP_DECLSPEC void mpq_mul (mpq_ptr, mpq_srcptr, mpq_srcptr);
1185
1186#define mpq_mul_2exp __gmpq_mul_2exp
1187__GMP_DECLSPEC void mpq_mul_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
1188
1189#define mpq_neg __gmpq_neg
1190#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_neg)
1191__GMP_DECLSPEC void mpq_neg (mpq_ptr, mpq_srcptr);
1192#endif
1193
1194#define mpq_out_str __gmpq_out_str
1195#ifdef _GMP_H_HAVE_FILE
1196__GMP_DECLSPEC size_t mpq_out_str (FILE *, int, mpq_srcptr);
1197#endif
1198
1199#define mpq_set __gmpq_set
1200__GMP_DECLSPEC void mpq_set (mpq_ptr, mpq_srcptr);
1201
1202#define mpq_set_d __gmpq_set_d
1203__GMP_DECLSPEC void mpq_set_d (mpq_ptr, double);
1204
1205#define mpq_set_den __gmpq_set_den
1206__GMP_DECLSPEC void mpq_set_den (mpq_ptr, mpz_srcptr);
1207
1208#define mpq_set_f __gmpq_set_f
1209__GMP_DECLSPEC void mpq_set_f (mpq_ptr, mpf_srcptr);
1210
1211#define mpq_set_num __gmpq_set_num
1212__GMP_DECLSPEC void mpq_set_num (mpq_ptr, mpz_srcptr);
1213
1214#define mpq_set_si __gmpq_set_si
1215__GMP_DECLSPEC void mpq_set_si (mpq_ptr, signed long int, unsigned long int);
1216
1217#define mpq_set_str __gmpq_set_str
1218__GMP_DECLSPEC int mpq_set_str (mpq_ptr, const char *, int);
1219
1220#define mpq_set_ui __gmpq_set_ui
1221__GMP_DECLSPEC void mpq_set_ui (mpq_ptr, unsigned long int, unsigned long int);
1222
1223#define mpq_set_z __gmpq_set_z
1224__GMP_DECLSPEC void mpq_set_z (mpq_ptr, mpz_srcptr);
1225
1226#define mpq_sub __gmpq_sub
1227__GMP_DECLSPEC void mpq_sub (mpq_ptr, mpq_srcptr, mpq_srcptr);
1228
1229#define mpq_swap __gmpq_swap
1230__GMP_DECLSPEC void mpq_swap (mpq_ptr, mpq_ptr) __GMP_NOTHROW;
1231
1232
1233/**************** Float (i.e. F) routines.  ****************/
1234
1235#define mpf_abs __gmpf_abs
1236__GMP_DECLSPEC void mpf_abs (mpf_ptr, mpf_srcptr);
1237
1238#define mpf_add __gmpf_add
1239__GMP_DECLSPEC void mpf_add (mpf_ptr, mpf_srcptr, mpf_srcptr);
1240
1241#define mpf_add_ui __gmpf_add_ui
1242__GMP_DECLSPEC void mpf_add_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1243#define mpf_ceil __gmpf_ceil
1244__GMP_DECLSPEC void mpf_ceil (mpf_ptr, mpf_srcptr);
1245
1246#define mpf_clear __gmpf_clear
1247__GMP_DECLSPEC void mpf_clear (mpf_ptr);
1248
1249#define mpf_clears __gmpf_clears
1250__GMP_DECLSPEC void mpf_clears (mpf_ptr, ...);
1251
1252#define mpf_cmp __gmpf_cmp
1253__GMP_DECLSPEC int mpf_cmp (mpf_srcptr, mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1254
1255#define mpf_cmp_d __gmpf_cmp_d
1256__GMP_DECLSPEC int mpf_cmp_d (mpf_srcptr, double) __GMP_ATTRIBUTE_PURE;
1257
1258#define mpf_cmp_si __gmpf_cmp_si
1259__GMP_DECLSPEC int mpf_cmp_si (mpf_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1260
1261#define mpf_cmp_ui __gmpf_cmp_ui
1262__GMP_DECLSPEC int mpf_cmp_ui (mpf_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1263
1264#define mpf_div __gmpf_div
1265__GMP_DECLSPEC void mpf_div (mpf_ptr, mpf_srcptr, mpf_srcptr);
1266
1267#define mpf_div_2exp __gmpf_div_2exp
1268__GMP_DECLSPEC void mpf_div_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
1269
1270#define mpf_div_ui __gmpf_div_ui
1271__GMP_DECLSPEC void mpf_div_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1272
1273#define mpf_dump __gmpf_dump
1274__GMP_DECLSPEC void mpf_dump (mpf_srcptr);
1275
1276#define mpf_eq __gmpf_eq
1277__GMP_DECLSPEC int mpf_eq (mpf_srcptr, mpf_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
1278
1279#define mpf_fits_sint_p __gmpf_fits_sint_p
1280__GMP_DECLSPEC int mpf_fits_sint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1281
1282#define mpf_fits_slong_p __gmpf_fits_slong_p
1283__GMP_DECLSPEC int mpf_fits_slong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1284
1285#define mpf_fits_sshort_p __gmpf_fits_sshort_p
1286__GMP_DECLSPEC int mpf_fits_sshort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1287
1288#define mpf_fits_uint_p __gmpf_fits_uint_p
1289__GMP_DECLSPEC int mpf_fits_uint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1290
1291#define mpf_fits_ulong_p __gmpf_fits_ulong_p
1292__GMP_DECLSPEC int mpf_fits_ulong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1293
1294#define mpf_fits_ushort_p __gmpf_fits_ushort_p
1295__GMP_DECLSPEC int mpf_fits_ushort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1296
1297#define mpf_floor __gmpf_floor
1298__GMP_DECLSPEC void mpf_floor (mpf_ptr, mpf_srcptr);
1299
1300#define mpf_get_d __gmpf_get_d
1301__GMP_DECLSPEC double mpf_get_d (mpf_srcptr) __GMP_ATTRIBUTE_PURE;
1302
1303#define mpf_get_d_2exp __gmpf_get_d_2exp
1304__GMP_DECLSPEC double mpf_get_d_2exp (signed long int *, mpf_srcptr);
1305
1306#define mpf_get_default_prec __gmpf_get_default_prec
1307__GMP_DECLSPEC mp_bitcnt_t mpf_get_default_prec (void) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1308
1309#define mpf_get_prec __gmpf_get_prec
1310__GMP_DECLSPEC mp_bitcnt_t mpf_get_prec (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1311
1312#define mpf_get_si __gmpf_get_si
1313__GMP_DECLSPEC long mpf_get_si (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1314
1315#define mpf_get_str __gmpf_get_str
1316__GMP_DECLSPEC char *mpf_get_str (char *, mp_exp_t *, int, size_t, mpf_srcptr);
1317
1318#define mpf_get_ui __gmpf_get_ui
1319__GMP_DECLSPEC unsigned long mpf_get_ui (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1320
1321#define mpf_init __gmpf_init
1322__GMP_DECLSPEC void mpf_init (mpf_ptr);
1323
1324#define mpf_init2 __gmpf_init2
1325__GMP_DECLSPEC void mpf_init2 (mpf_ptr, mp_bitcnt_t);
1326
1327#define mpf_inits __gmpf_inits
1328__GMP_DECLSPEC void mpf_inits (mpf_ptr, ...);
1329
1330#define mpf_init_set __gmpf_init_set
1331__GMP_DECLSPEC void mpf_init_set (mpf_ptr, mpf_srcptr);
1332
1333#define mpf_init_set_d __gmpf_init_set_d
1334__GMP_DECLSPEC void mpf_init_set_d (mpf_ptr, double);
1335
1336#define mpf_init_set_si __gmpf_init_set_si
1337__GMP_DECLSPEC void mpf_init_set_si (mpf_ptr, signed long int);
1338
1339#define mpf_init_set_str __gmpf_init_set_str
1340__GMP_DECLSPEC int mpf_init_set_str (mpf_ptr, const char *, int);
1341
1342#define mpf_init_set_ui __gmpf_init_set_ui
1343__GMP_DECLSPEC void mpf_init_set_ui (mpf_ptr, unsigned long int);
1344
1345#define mpf_inp_str __gmpf_inp_str
1346#ifdef _GMP_H_HAVE_FILE
1347__GMP_DECLSPEC size_t mpf_inp_str (mpf_ptr, FILE *, int);
1348#endif
1349
1350#define mpf_integer_p __gmpf_integer_p
1351__GMP_DECLSPEC int mpf_integer_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1352
1353#define mpf_mul __gmpf_mul
1354__GMP_DECLSPEC void mpf_mul (mpf_ptr, mpf_srcptr, mpf_srcptr);
1355
1356#define mpf_mul_2exp __gmpf_mul_2exp
1357__GMP_DECLSPEC void mpf_mul_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
1358
1359#define mpf_mul_ui __gmpf_mul_ui
1360__GMP_DECLSPEC void mpf_mul_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1361
1362#define mpf_neg __gmpf_neg
1363__GMP_DECLSPEC void mpf_neg (mpf_ptr, mpf_srcptr);
1364
1365#define mpf_out_str __gmpf_out_str
1366#ifdef _GMP_H_HAVE_FILE
1367__GMP_DECLSPEC size_t mpf_out_str (FILE *, int, size_t, mpf_srcptr);
1368#endif
1369
1370#define mpf_pow_ui __gmpf_pow_ui
1371__GMP_DECLSPEC void mpf_pow_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1372
1373#define mpf_random2 __gmpf_random2
1374__GMP_DECLSPEC void mpf_random2 (mpf_ptr, mp_size_t, mp_exp_t);
1375
1376#define mpf_reldiff __gmpf_reldiff
1377__GMP_DECLSPEC void mpf_reldiff (mpf_ptr, mpf_srcptr, mpf_srcptr);
1378
1379#define mpf_set __gmpf_set
1380__GMP_DECLSPEC void mpf_set (mpf_ptr, mpf_srcptr);
1381
1382#define mpf_set_d __gmpf_set_d
1383__GMP_DECLSPEC void mpf_set_d (mpf_ptr, double);
1384
1385#define mpf_set_default_prec __gmpf_set_default_prec
1386__GMP_DECLSPEC void mpf_set_default_prec (mp_bitcnt_t) __GMP_NOTHROW;
1387
1388#define mpf_set_prec __gmpf_set_prec
1389__GMP_DECLSPEC void mpf_set_prec (mpf_ptr, mp_bitcnt_t);
1390
1391#define mpf_set_prec_raw __gmpf_set_prec_raw
1392__GMP_DECLSPEC void mpf_set_prec_raw (mpf_ptr, mp_bitcnt_t) __GMP_NOTHROW;
1393
1394#define mpf_set_q __gmpf_set_q
1395__GMP_DECLSPEC void mpf_set_q (mpf_ptr, mpq_srcptr);
1396
1397#define mpf_set_si __gmpf_set_si
1398__GMP_DECLSPEC void mpf_set_si (mpf_ptr, signed long int);
1399
1400#define mpf_set_str __gmpf_set_str
1401__GMP_DECLSPEC int mpf_set_str (mpf_ptr, const char *, int);
1402
1403#define mpf_set_ui __gmpf_set_ui
1404__GMP_DECLSPEC void mpf_set_ui (mpf_ptr, unsigned long int);
1405
1406#define mpf_set_z __gmpf_set_z
1407__GMP_DECLSPEC void mpf_set_z (mpf_ptr, mpz_srcptr);
1408
1409#define mpf_size __gmpf_size
1410__GMP_DECLSPEC size_t mpf_size (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1411
1412#define mpf_sqrt __gmpf_sqrt
1413__GMP_DECLSPEC void mpf_sqrt (mpf_ptr, mpf_srcptr);
1414
1415#define mpf_sqrt_ui __gmpf_sqrt_ui
1416__GMP_DECLSPEC void mpf_sqrt_ui (mpf_ptr, unsigned long int);
1417
1418#define mpf_sub __gmpf_sub
1419__GMP_DECLSPEC void mpf_sub (mpf_ptr, mpf_srcptr, mpf_srcptr);
1420
1421#define mpf_sub_ui __gmpf_sub_ui
1422__GMP_DECLSPEC void mpf_sub_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1423
1424#define mpf_swap __gmpf_swap
1425__GMP_DECLSPEC void mpf_swap (mpf_ptr, mpf_ptr) __GMP_NOTHROW;
1426
1427#define mpf_trunc __gmpf_trunc
1428__GMP_DECLSPEC void mpf_trunc (mpf_ptr, mpf_srcptr);
1429
1430#define mpf_ui_div __gmpf_ui_div
1431__GMP_DECLSPEC void mpf_ui_div (mpf_ptr, unsigned long int, mpf_srcptr);
1432
1433#define mpf_ui_sub __gmpf_ui_sub
1434__GMP_DECLSPEC void mpf_ui_sub (mpf_ptr, unsigned long int, mpf_srcptr);
1435
1436#define mpf_urandomb __gmpf_urandomb
1437__GMP_DECLSPEC void mpf_urandomb (mpf_t, gmp_randstate_t, mp_bitcnt_t);
1438
1439
1440/************ Low level positive-integer (i.e. N) routines.  ************/
1441
1442/* This is ugly, but we need to make user calls reach the prefixed function. */
1443
1444#define mpn_add __MPN(add)
1445#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add)
1446__GMP_DECLSPEC mp_limb_t mpn_add (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1447#endif
1448
1449#define mpn_add_1 __MPN(add_1)
1450#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add_1)
1451__GMP_DECLSPEC mp_limb_t mpn_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
1452#endif
1453
1454#define mpn_add_n __MPN(add_n)
1455__GMP_DECLSPEC mp_limb_t mpn_add_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1456
1457#define mpn_addmul_1 __MPN(addmul_1)
1458__GMP_DECLSPEC mp_limb_t mpn_addmul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1459
1460#define mpn_cmp __MPN(cmp)
1461#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_cmp)
1462__GMP_DECLSPEC int mpn_cmp (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1463#endif
1464
1465#define mpn_divexact_by3(dst,src,size) \
1466  mpn_divexact_by3c (dst, src, size, __GMP_CAST (mp_limb_t, 0))
1467
1468#define mpn_divexact_by3c __MPN(divexact_by3c)
1469__GMP_DECLSPEC mp_limb_t mpn_divexact_by3c (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1470
1471#define mpn_divmod_1(qp,np,nsize,dlimb) \
1472  mpn_divrem_1 (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dlimb)
1473
1474#define mpn_divrem __MPN(divrem)
1475__GMP_DECLSPEC mp_limb_t mpn_divrem (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t);
1476
1477#define mpn_divrem_1 __MPN(divrem_1)
1478__GMP_DECLSPEC mp_limb_t mpn_divrem_1 (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t);
1479
1480#define mpn_divrem_2 __MPN(divrem_2)
1481__GMP_DECLSPEC mp_limb_t mpn_divrem_2 (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr);
1482
1483#define mpn_div_qr_2 __MPN(div_qr_2)
1484__GMP_DECLSPEC mp_limb_t mpn_div_qr_2 (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
1485
1486#define mpn_gcd __MPN(gcd)
1487__GMP_DECLSPEC mp_size_t mpn_gcd (mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
1488
1489#define mpn_gcd_1 __MPN(gcd_1)
1490__GMP_DECLSPEC mp_limb_t mpn_gcd_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1491
1492#define mpn_gcdext_1 __MPN(gcdext_1)
1493__GMP_DECLSPEC mp_limb_t mpn_gcdext_1 (mp_limb_signed_t *, mp_limb_signed_t *, mp_limb_t, mp_limb_t);
1494
1495#define mpn_gcdext __MPN(gcdext)
1496__GMP_DECLSPEC mp_size_t mpn_gcdext (mp_ptr, mp_ptr, mp_size_t *, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
1497
1498#define mpn_get_str __MPN(get_str)
1499__GMP_DECLSPEC size_t mpn_get_str (unsigned char *, int, mp_ptr, mp_size_t);
1500
1501#define mpn_hamdist __MPN(hamdist)
1502__GMP_DECLSPEC mp_bitcnt_t mpn_hamdist (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1503
1504#define mpn_lshift __MPN(lshift)
1505__GMP_DECLSPEC mp_limb_t mpn_lshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
1506
1507#define mpn_mod_1 __MPN(mod_1)
1508__GMP_DECLSPEC mp_limb_t mpn_mod_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1509
1510#define mpn_mul __MPN(mul)
1511__GMP_DECLSPEC mp_limb_t mpn_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1512
1513#define mpn_mul_1 __MPN(mul_1)
1514__GMP_DECLSPEC mp_limb_t mpn_mul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1515
1516#define mpn_mul_n __MPN(mul_n)
1517__GMP_DECLSPEC void mpn_mul_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1518
1519#define mpn_sqr __MPN(sqr)
1520__GMP_DECLSPEC void mpn_sqr (mp_ptr, mp_srcptr, mp_size_t);
1521
1522#define mpn_neg __MPN(neg)
1523#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_neg)
1524__GMP_DECLSPEC mp_limb_t mpn_neg (mp_ptr, mp_srcptr, mp_size_t);
1525#endif
1526
1527#define mpn_com __MPN(com)
1528#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_com)
1529__GMP_DECLSPEC void mpn_com (mp_ptr, mp_srcptr, mp_size_t);
1530#endif
1531
1532#define mpn_perfect_square_p __MPN(perfect_square_p)
1533__GMP_DECLSPEC int mpn_perfect_square_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
1534
1535#define mpn_perfect_power_p __MPN(perfect_power_p)
1536__GMP_DECLSPEC int mpn_perfect_power_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
1537
1538#define mpn_popcount __MPN(popcount)
1539__GMP_DECLSPEC mp_bitcnt_t mpn_popcount (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1540
1541#define mpn_pow_1 __MPN(pow_1)
1542__GMP_DECLSPEC mp_size_t mpn_pow_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
1543
1544/* undocumented now, but retained here for upward compatibility */
1545#define mpn_preinv_mod_1 __MPN(preinv_mod_1)
1546__GMP_DECLSPEC mp_limb_t mpn_preinv_mod_1 (mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1547
1548#define mpn_random __MPN(random)
1549__GMP_DECLSPEC void mpn_random (mp_ptr, mp_size_t);
1550
1551#define mpn_random2 __MPN(random2)
1552__GMP_DECLSPEC void mpn_random2 (mp_ptr, mp_size_t);
1553
1554#define mpn_rshift __MPN(rshift)
1555__GMP_DECLSPEC mp_limb_t mpn_rshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
1556
1557#define mpn_scan0 __MPN(scan0)
1558__GMP_DECLSPEC mp_bitcnt_t mpn_scan0 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
1559
1560#define mpn_scan1 __MPN(scan1)
1561__GMP_DECLSPEC mp_bitcnt_t mpn_scan1 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
1562
1563#define mpn_set_str __MPN(set_str)
1564__GMP_DECLSPEC mp_size_t mpn_set_str (mp_ptr, const unsigned char *, size_t, int);
1565
1566#define mpn_sqrtrem __MPN(sqrtrem)
1567__GMP_DECLSPEC mp_size_t mpn_sqrtrem (mp_ptr, mp_ptr, mp_srcptr, mp_size_t);
1568
1569#define mpn_sub __MPN(sub)
1570#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub)
1571__GMP_DECLSPEC mp_limb_t mpn_sub (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1572#endif
1573
1574#define mpn_sub_1 __MPN(sub_1)
1575#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub_1)
1576__GMP_DECLSPEC mp_limb_t mpn_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
1577#endif
1578
1579#define mpn_sub_n __MPN(sub_n)
1580__GMP_DECLSPEC mp_limb_t mpn_sub_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1581
1582#define mpn_submul_1 __MPN(submul_1)
1583__GMP_DECLSPEC mp_limb_t mpn_submul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1584
1585#define mpn_tdiv_qr __MPN(tdiv_qr)
1586__GMP_DECLSPEC void mpn_tdiv_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1587
1588#define mpn_and_n __MPN(and_n)
1589__GMP_DECLSPEC void mpn_and_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1590#define mpn_andn_n __MPN(andn_n)
1591__GMP_DECLSPEC void mpn_andn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1592#define mpn_nand_n __MPN(nand_n)
1593__GMP_DECLSPEC void mpn_nand_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1594#define mpn_ior_n __MPN(ior_n)
1595__GMP_DECLSPEC void mpn_ior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1596#define mpn_iorn_n __MPN(iorn_n)
1597__GMP_DECLSPEC void mpn_iorn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1598#define mpn_nior_n __MPN(nior_n)
1599__GMP_DECLSPEC void mpn_nior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1600#define mpn_xor_n __MPN(xor_n)
1601__GMP_DECLSPEC void mpn_xor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1602#define mpn_xnor_n __MPN(xnor_n)
1603__GMP_DECLSPEC void mpn_xnor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1604
1605#define mpn_copyi __MPN(copyi)
1606__GMP_DECLSPEC void mpn_copyi (mp_ptr, mp_srcptr, mp_size_t);
1607#define mpn_copyd __MPN(copyd)
1608__GMP_DECLSPEC void mpn_copyd (mp_ptr, mp_srcptr, mp_size_t);
1609#define mpn_zero __MPN(zero)
1610__GMP_DECLSPEC void mpn_zero (mp_ptr, mp_size_t);
1611
1612#define mpn_udiv_w_sdiv __MPN(udiv_w_sdiv)
1613__GMP_DECLSPEC mp_limb_t mpn_udiv_w_sdiv (mp_limb_t *, mp_limb_t, mp_limb_t, mp_limb_t);
1614
1615/**************** mpz inlines ****************/
1616
1617/* The following are provided as inlines where possible, but always exist as
1618   library functions too, for binary compatibility.
1619
1620   Within gmp itself this inlining generally isn't relied on, since it
1621   doesn't get done for all compilers, whereas if something is worth
1622   inlining then it's worth arranging always.
1623
1624   There are two styles of inlining here.  When the same bit of code is
1625   wanted for the inline as for the library version, then __GMP_FORCE_foo
1626   arranges for that code to be emitted and the __GMP_EXTERN_INLINE
1627   directive suppressed, eg. mpz_fits_uint_p.  When a different bit of code
1628   is wanted for the inline than for the library version, then
1629   __GMP_FORCE_foo arranges the inline to be suppressed, eg. mpz_abs.  */
1630
1631#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_abs)
1632__GMP_EXTERN_INLINE void
1633mpz_abs (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1634{
1635  if (__gmp_w != __gmp_u)
1636    mpz_set (__gmp_w, __gmp_u);
1637  __gmp_w->_mp_size = __GMP_ABS (__gmp_w->_mp_size);
1638}
1639#endif
1640
1641#if GMP_NAIL_BITS == 0
1642#define __GMPZ_FITS_UTYPE_P(z,maxval)					\
1643  mp_size_t  __gmp_n = z->_mp_size;					\
1644  mp_ptr  __gmp_p = z->_mp_d;						\
1645  return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval));
1646#else
1647#define __GMPZ_FITS_UTYPE_P(z,maxval)					\
1648  mp_size_t  __gmp_n = z->_mp_size;					\
1649  mp_ptr  __gmp_p = z->_mp_d;						\
1650  return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval)	\
1651	  || (__gmp_n == 2 && __gmp_p[1] <= ((mp_limb_t) maxval >> GMP_NUMB_BITS)));
1652#endif
1653
1654#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_uint_p)
1655#if ! defined (__GMP_FORCE_mpz_fits_uint_p)
1656__GMP_EXTERN_INLINE
1657#endif
1658int
1659mpz_fits_uint_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1660{
1661  __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_UINT_MAX);
1662}
1663#endif
1664
1665#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ulong_p)
1666#if ! defined (__GMP_FORCE_mpz_fits_ulong_p)
1667__GMP_EXTERN_INLINE
1668#endif
1669int
1670mpz_fits_ulong_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1671{
1672  __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_ULONG_MAX);
1673}
1674#endif
1675
1676#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ushort_p)
1677#if ! defined (__GMP_FORCE_mpz_fits_ushort_p)
1678__GMP_EXTERN_INLINE
1679#endif
1680int
1681mpz_fits_ushort_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1682{
1683  __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_USHRT_MAX);
1684}
1685#endif
1686
1687#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_get_ui)
1688#if ! defined (__GMP_FORCE_mpz_get_ui)
1689__GMP_EXTERN_INLINE
1690#endif
1691unsigned long
1692mpz_get_ui (mpz_srcptr __gmp_z) __GMP_NOTHROW
1693{
1694  mp_ptr __gmp_p = __gmp_z->_mp_d;
1695  mp_size_t __gmp_n = __gmp_z->_mp_size;
1696  mp_limb_t __gmp_l = __gmp_p[0];
1697  /* This is a "#if" rather than a plain "if" so as to avoid gcc warnings
1698     about "<< GMP_NUMB_BITS" exceeding the type size, and to avoid Borland
1699     C++ 6.0 warnings about condition always true for something like
1700     "__GMP_ULONG_MAX < GMP_NUMB_MASK".  */
1701#if GMP_NAIL_BITS == 0 || defined (_LONG_LONG_LIMB)
1702  /* limb==long and no nails, or limb==longlong, one limb is enough */
1703  return (__gmp_n != 0 ? __gmp_l : 0);
1704#else
1705  /* limb==long and nails, need two limbs when available */
1706  __gmp_n = __GMP_ABS (__gmp_n);
1707  if (__gmp_n <= 1)
1708    return (__gmp_n != 0 ? __gmp_l : 0);
1709  else
1710    return __gmp_l + (__gmp_p[1] << GMP_NUMB_BITS);
1711#endif
1712}
1713#endif
1714
1715#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_getlimbn)
1716#if ! defined (__GMP_FORCE_mpz_getlimbn)
1717__GMP_EXTERN_INLINE
1718#endif
1719mp_limb_t
1720mpz_getlimbn (mpz_srcptr __gmp_z, mp_size_t __gmp_n) __GMP_NOTHROW
1721{
1722  mp_limb_t  __gmp_result = 0;
1723  if (__GMP_LIKELY (__gmp_n >= 0 && __gmp_n < __GMP_ABS (__gmp_z->_mp_size)))
1724    __gmp_result = __gmp_z->_mp_d[__gmp_n];
1725  return __gmp_result;
1726}
1727#endif
1728
1729#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_neg)
1730__GMP_EXTERN_INLINE void
1731mpz_neg (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1732{
1733  if (__gmp_w != __gmp_u)
1734    mpz_set (__gmp_w, __gmp_u);
1735  __gmp_w->_mp_size = - __gmp_w->_mp_size;
1736}
1737#endif
1738
1739#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_perfect_square_p)
1740#if ! defined (__GMP_FORCE_mpz_perfect_square_p)
1741__GMP_EXTERN_INLINE
1742#endif
1743int
1744mpz_perfect_square_p (mpz_srcptr __gmp_a)
1745{
1746  mp_size_t __gmp_asize;
1747  int       __gmp_result;
1748
1749  __gmp_asize = __gmp_a->_mp_size;
1750  __gmp_result = (__gmp_asize >= 0);  /* zero is a square, negatives are not */
1751  if (__GMP_LIKELY (__gmp_asize > 0))
1752    __gmp_result = mpn_perfect_square_p (__gmp_a->_mp_d, __gmp_asize);
1753  return __gmp_result;
1754}
1755#endif
1756
1757#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_popcount)
1758#if ! defined (__GMP_FORCE_mpz_popcount)
1759__GMP_EXTERN_INLINE
1760#endif
1761mp_bitcnt_t
1762mpz_popcount (mpz_srcptr __gmp_u) __GMP_NOTHROW
1763{
1764  mp_size_t      __gmp_usize;
1765  mp_bitcnt_t    __gmp_result;
1766
1767  __gmp_usize = __gmp_u->_mp_size;
1768  __gmp_result = (__gmp_usize < 0 ? __GMP_ULONG_MAX : 0);
1769  if (__GMP_LIKELY (__gmp_usize > 0))
1770    __gmp_result =  mpn_popcount (__gmp_u->_mp_d, __gmp_usize);
1771  return __gmp_result;
1772}
1773#endif
1774
1775#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_set_q)
1776#if ! defined (__GMP_FORCE_mpz_set_q)
1777__GMP_EXTERN_INLINE
1778#endif
1779void
1780mpz_set_q (mpz_ptr __gmp_w, mpq_srcptr __gmp_u)
1781{
1782  mpz_tdiv_q (__gmp_w, mpq_numref (__gmp_u), mpq_denref (__gmp_u));
1783}
1784#endif
1785
1786#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_size)
1787#if ! defined (__GMP_FORCE_mpz_size)
1788__GMP_EXTERN_INLINE
1789#endif
1790size_t
1791mpz_size (mpz_srcptr __gmp_z) __GMP_NOTHROW
1792{
1793  return __GMP_ABS (__gmp_z->_mp_size);
1794}
1795#endif
1796
1797
1798/**************** mpq inlines ****************/
1799
1800#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_abs)
1801__GMP_EXTERN_INLINE void
1802mpq_abs (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1803{
1804  if (__gmp_w != __gmp_u)
1805    mpq_set (__gmp_w, __gmp_u);
1806  __gmp_w->_mp_num._mp_size = __GMP_ABS (__gmp_w->_mp_num._mp_size);
1807}
1808#endif
1809
1810#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_neg)
1811__GMP_EXTERN_INLINE void
1812mpq_neg (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1813{
1814  if (__gmp_w != __gmp_u)
1815    mpq_set (__gmp_w, __gmp_u);
1816  __gmp_w->_mp_num._mp_size = - __gmp_w->_mp_num._mp_size;
1817}
1818#endif
1819
1820
1821/**************** mpn inlines ****************/
1822
1823/* The comments with __GMPN_ADD_1 below apply here too.
1824
1825   The test for FUNCTION returning 0 should predict well.  If it's assumed
1826   {yp,ysize} will usually have a random number of bits then the high limb
1827   won't be full and a carry out will occur a good deal less than 50% of the
1828   time.
1829
1830   ysize==0 isn't a documented feature, but is used internally in a few
1831   places.
1832
1833   Producing cout last stops it using up a register during the main part of
1834   the calculation, though gcc (as of 3.0) on an "if (mpn_add (...))"
1835   doesn't seem able to move the true and false legs of the conditional up
1836   to the two places cout is generated.  */
1837
1838#define __GMPN_AORS(cout, wp, xp, xsize, yp, ysize, FUNCTION, TEST)     \
1839  do {                                                                  \
1840    mp_size_t  __gmp_i;                                                 \
1841    mp_limb_t  __gmp_x;                                                 \
1842                                                                        \
1843    /* ASSERT ((ysize) >= 0); */                                        \
1844    /* ASSERT ((xsize) >= (ysize)); */                                  \
1845    /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, xp, xsize)); */      \
1846    /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, yp, ysize)); */      \
1847                                                                        \
1848    __gmp_i = (ysize);                                                  \
1849    if (__gmp_i != 0)                                                   \
1850      {                                                                 \
1851        if (FUNCTION (wp, xp, yp, __gmp_i))                             \
1852          {                                                             \
1853            do                                                          \
1854              {                                                         \
1855                if (__gmp_i >= (xsize))                                 \
1856                  {                                                     \
1857                    (cout) = 1;                                         \
1858                    goto __gmp_done;                                    \
1859                  }                                                     \
1860                __gmp_x = (xp)[__gmp_i];                                \
1861              }                                                         \
1862            while (TEST);                                               \
1863          }                                                             \
1864      }                                                                 \
1865    if ((wp) != (xp))                                                   \
1866      __GMPN_COPY_REST (wp, xp, xsize, __gmp_i);                        \
1867    (cout) = 0;                                                         \
1868  __gmp_done:                                                           \
1869    ;                                                                   \
1870  } while (0)
1871
1872#define __GMPN_ADD(cout, wp, xp, xsize, yp, ysize)              \
1873  __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_add_n,       \
1874               (((wp)[__gmp_i++] = (__gmp_x + 1) & GMP_NUMB_MASK) == 0))
1875#define __GMPN_SUB(cout, wp, xp, xsize, yp, ysize)              \
1876  __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_sub_n,       \
1877               (((wp)[__gmp_i++] = (__gmp_x - 1) & GMP_NUMB_MASK), __gmp_x == 0))
1878
1879
1880/* The use of __gmp_i indexing is designed to ensure a compile time src==dst
1881   remains nice and clear to the compiler, so that __GMPN_COPY_REST can
1882   disappear, and the load/add/store gets a chance to become a
1883   read-modify-write on CISC CPUs.
1884
1885   Alternatives:
1886
1887   Using a pair of pointers instead of indexing would be possible, but gcc
1888   isn't able to recognise compile-time src==dst in that case, even when the
1889   pointers are incremented more or less together.  Other compilers would
1890   very likely have similar difficulty.
1891
1892   gcc could use "if (__builtin_constant_p(src==dst) && src==dst)" or
1893   similar to detect a compile-time src==dst.  This works nicely on gcc
1894   2.95.x, it's not good on gcc 3.0 where __builtin_constant_p(p==p) seems
1895   to be always false, for a pointer p.  But the current code form seems
1896   good enough for src==dst anyway.
1897
1898   gcc on x86 as usual doesn't give particularly good flags handling for the
1899   carry/borrow detection.  It's tempting to want some multi instruction asm
1900   blocks to help it, and this was tried, but in truth there's only a few
1901   instructions to save and any gain is all too easily lost by register
1902   juggling setting up for the asm.  */
1903
1904#if GMP_NAIL_BITS == 0
1905#define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
1906  do {								\
1907    mp_size_t  __gmp_i;						\
1908    mp_limb_t  __gmp_x, __gmp_r;                                \
1909								\
1910    /* ASSERT ((n) >= 1); */					\
1911    /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
1912								\
1913    __gmp_x = (src)[0];						\
1914    __gmp_r = __gmp_x OP (v);                                   \
1915    (dst)[0] = __gmp_r;						\
1916    if (CB (__gmp_r, __gmp_x, (v)))                             \
1917      {								\
1918	(cout) = 1;						\
1919	for (__gmp_i = 1; __gmp_i < (n);)                       \
1920	  {							\
1921	    __gmp_x = (src)[__gmp_i];                           \
1922	    __gmp_r = __gmp_x OP 1;                             \
1923	    (dst)[__gmp_i] = __gmp_r;                           \
1924	    ++__gmp_i;						\
1925	    if (!CB (__gmp_r, __gmp_x, 1))                      \
1926	      {							\
1927		if ((src) != (dst))				\
1928		  __GMPN_COPY_REST (dst, src, n, __gmp_i);      \
1929		(cout) = 0;					\
1930		break;						\
1931	      }							\
1932	  }							\
1933      }								\
1934    else							\
1935      {								\
1936	if ((src) != (dst))					\
1937	  __GMPN_COPY_REST (dst, src, n, 1);			\
1938	(cout) = 0;						\
1939      }								\
1940  } while (0)
1941#endif
1942
1943#if GMP_NAIL_BITS >= 1
1944#define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
1945  do {								\
1946    mp_size_t  __gmp_i;						\
1947    mp_limb_t  __gmp_x, __gmp_r;				\
1948								\
1949    /* ASSERT ((n) >= 1); */					\
1950    /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
1951								\
1952    __gmp_x = (src)[0];						\
1953    __gmp_r = __gmp_x OP (v);					\
1954    (dst)[0] = __gmp_r & GMP_NUMB_MASK;				\
1955    if (__gmp_r >> GMP_NUMB_BITS != 0)				\
1956      {								\
1957	(cout) = 1;						\
1958	for (__gmp_i = 1; __gmp_i < (n);)			\
1959	  {							\
1960	    __gmp_x = (src)[__gmp_i];				\
1961	    __gmp_r = __gmp_x OP 1;				\
1962	    (dst)[__gmp_i] = __gmp_r & GMP_NUMB_MASK;		\
1963	    ++__gmp_i;						\
1964	    if (__gmp_r >> GMP_NUMB_BITS == 0)			\
1965	      {							\
1966		if ((src) != (dst))				\
1967		  __GMPN_COPY_REST (dst, src, n, __gmp_i);	\
1968		(cout) = 0;					\
1969		break;						\
1970	      }							\
1971	  }							\
1972      }								\
1973    else							\
1974      {								\
1975	if ((src) != (dst))					\
1976	  __GMPN_COPY_REST (dst, src, n, 1);			\
1977	(cout) = 0;						\
1978      }								\
1979  } while (0)
1980#endif
1981
1982#define __GMPN_ADDCB(r,x,y) ((r) < (y))
1983#define __GMPN_SUBCB(r,x,y) ((x) < (y))
1984
1985#define __GMPN_ADD_1(cout, dst, src, n, v)	     \
1986  __GMPN_AORS_1(cout, dst, src, n, v, +, __GMPN_ADDCB)
1987#define __GMPN_SUB_1(cout, dst, src, n, v)	     \
1988  __GMPN_AORS_1(cout, dst, src, n, v, -, __GMPN_SUBCB)
1989
1990
1991/* Compare {xp,size} and {yp,size}, setting "result" to positive, zero or
1992   negative.  size==0 is allowed.  On random data usually only one limb will
1993   need to be examined to get a result, so it's worth having it inline.  */
1994#define __GMPN_CMP(result, xp, yp, size)                                \
1995  do {                                                                  \
1996    mp_size_t  __gmp_i;                                                 \
1997    mp_limb_t  __gmp_x, __gmp_y;                                        \
1998                                                                        \
1999    /* ASSERT ((size) >= 0); */                                         \
2000                                                                        \
2001    (result) = 0;                                                       \
2002    __gmp_i = (size);                                                   \
2003    while (--__gmp_i >= 0)                                              \
2004      {                                                                 \
2005        __gmp_x = (xp)[__gmp_i];                                        \
2006        __gmp_y = (yp)[__gmp_i];                                        \
2007        if (__gmp_x != __gmp_y)                                         \
2008          {                                                             \
2009            /* Cannot use __gmp_x - __gmp_y, may overflow an "int" */   \
2010            (result) = (__gmp_x > __gmp_y ? 1 : -1);                    \
2011            break;                                                      \
2012          }                                                             \
2013      }                                                                 \
2014  } while (0)
2015
2016
2017#if defined (__GMPN_COPY) && ! defined (__GMPN_COPY_REST)
2018#define __GMPN_COPY_REST(dst, src, size, start)                 \
2019  do {                                                          \
2020    /* ASSERT ((start) >= 0); */                                \
2021    /* ASSERT ((start) <= (size)); */                           \
2022    __GMPN_COPY ((dst)+(start), (src)+(start), (size)-(start)); \
2023  } while (0)
2024#endif
2025
2026/* Copy {src,size} to {dst,size}, starting at "start".  This is designed to
2027   keep the indexing dst[j] and src[j] nice and simple for __GMPN_ADD_1,
2028   __GMPN_ADD, etc.  */
2029#if ! defined (__GMPN_COPY_REST)
2030#define __GMPN_COPY_REST(dst, src, size, start)                 \
2031  do {                                                          \
2032    mp_size_t __gmp_j;                                          \
2033    /* ASSERT ((size) >= 0); */                                 \
2034    /* ASSERT ((start) >= 0); */                                \
2035    /* ASSERT ((start) <= (size)); */                           \
2036    /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */     \
2037    __GMP_CRAY_Pragma ("_CRI ivdep");                           \
2038    for (__gmp_j = (start); __gmp_j < (size); __gmp_j++)        \
2039      (dst)[__gmp_j] = (src)[__gmp_j];                          \
2040  } while (0)
2041#endif
2042
2043/* Enhancement: Use some of the smarter code from gmp-impl.h.  Maybe use
2044   mpn_copyi if there's a native version, and if we don't mind demanding
2045   binary compatibility for it (on targets which use it).  */
2046
2047#if ! defined (__GMPN_COPY)
2048#define __GMPN_COPY(dst, src, size)   __GMPN_COPY_REST (dst, src, size, 0)
2049#endif
2050
2051
2052#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add)
2053#if ! defined (__GMP_FORCE_mpn_add)
2054__GMP_EXTERN_INLINE
2055#endif
2056mp_limb_t
2057mpn_add (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2058{
2059  mp_limb_t  __gmp_c;
2060  __GMPN_ADD (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2061  return __gmp_c;
2062}
2063#endif
2064
2065#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add_1)
2066#if ! defined (__GMP_FORCE_mpn_add_1)
2067__GMP_EXTERN_INLINE
2068#endif
2069mp_limb_t
2070mpn_add_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2071{
2072  mp_limb_t  __gmp_c;
2073  __GMPN_ADD_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2074  return __gmp_c;
2075}
2076#endif
2077
2078#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_cmp)
2079#if ! defined (__GMP_FORCE_mpn_cmp)
2080__GMP_EXTERN_INLINE
2081#endif
2082int
2083mpn_cmp (mp_srcptr __gmp_xp, mp_srcptr __gmp_yp, mp_size_t __gmp_size) __GMP_NOTHROW
2084{
2085  int __gmp_result;
2086  __GMPN_CMP (__gmp_result, __gmp_xp, __gmp_yp, __gmp_size);
2087  return __gmp_result;
2088}
2089#endif
2090
2091#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub)
2092#if ! defined (__GMP_FORCE_mpn_sub)
2093__GMP_EXTERN_INLINE
2094#endif
2095mp_limb_t
2096mpn_sub (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2097{
2098  mp_limb_t  __gmp_c;
2099  __GMPN_SUB (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2100  return __gmp_c;
2101}
2102#endif
2103
2104#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub_1)
2105#if ! defined (__GMP_FORCE_mpn_sub_1)
2106__GMP_EXTERN_INLINE
2107#endif
2108mp_limb_t
2109mpn_sub_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2110{
2111  mp_limb_t  __gmp_c;
2112  __GMPN_SUB_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2113  return __gmp_c;
2114}
2115#endif
2116
2117#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_neg)
2118#if ! defined (__GMP_FORCE_mpn_neg)
2119__GMP_EXTERN_INLINE
2120#endif
2121mp_limb_t
2122mpn_neg (mp_ptr __gmp_rp, mp_srcptr __gmp_up, mp_size_t __gmp_n)
2123{
2124  mp_limb_t __gmp_ul, __gmp_cy;
2125  __gmp_cy = 0;
2126  do {
2127      __gmp_ul = *__gmp_up++;
2128      *__gmp_rp++ = -__gmp_ul - __gmp_cy;
2129      __gmp_cy |= __gmp_ul != 0;
2130  } while (--__gmp_n != 0);
2131  return __gmp_cy;
2132}
2133#endif
2134
2135#if defined (__cplusplus)
2136}
2137#endif
2138
2139
2140/* Allow faster testing for negative, zero, and positive.  */
2141#define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0)
2142#define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0)
2143#define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0)
2144
2145/* When using GCC, optimize certain common comparisons.  */
2146#if defined (__GNUC__) && __GNUC__ >= 2
2147#define mpz_cmp_ui(Z,UI) \
2148  (__builtin_constant_p (UI) && (UI) == 0				\
2149   ? mpz_sgn (Z) : _mpz_cmp_ui (Z,UI))
2150#define mpz_cmp_si(Z,SI) \
2151  (__builtin_constant_p (SI) && (SI) == 0 ? mpz_sgn (Z)			\
2152   : __builtin_constant_p (SI) && (SI) > 0				\
2153    ? _mpz_cmp_ui (Z, __GMP_CAST (unsigned long int, SI))		\
2154   : _mpz_cmp_si (Z,SI))
2155#define mpq_cmp_ui(Q,NUI,DUI) \
2156  (__builtin_constant_p (NUI) && (NUI) == 0				\
2157   ? mpq_sgn (Q) : _mpq_cmp_ui (Q,NUI,DUI))
2158#define mpq_cmp_si(q,n,d)                       \
2159  (__builtin_constant_p ((n) >= 0) && (n) >= 0  \
2160   ? mpq_cmp_ui (q, __GMP_CAST (unsigned long, n), d) \
2161   : _mpq_cmp_si (q, n, d))
2162#else
2163#define mpz_cmp_ui(Z,UI) _mpz_cmp_ui (Z,UI)
2164#define mpz_cmp_si(Z,UI) _mpz_cmp_si (Z,UI)
2165#define mpq_cmp_ui(Q,NUI,DUI) _mpq_cmp_ui (Q,NUI,DUI)
2166#define mpq_cmp_si(q,n,d)  _mpq_cmp_si(q,n,d)
2167#endif
2168
2169
2170/* Using "&" rather than "&&" means these can come out branch-free.  Every
2171   mpz_t has at least one limb allocated, so fetching the low limb is always
2172   allowed.  */
2173#define mpz_odd_p(z)   (((z)->_mp_size != 0) & __GMP_CAST (int, (z)->_mp_d[0]))
2174#define mpz_even_p(z)  (! mpz_odd_p (z))
2175
2176
2177/**************** C++ routines ****************/
2178
2179#ifdef __cplusplus
2180__GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpz_srcptr);
2181__GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpq_srcptr);
2182__GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpf_srcptr);
2183__GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpz_ptr);
2184__GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpq_ptr);
2185__GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpf_ptr);
2186#endif
2187
2188
2189/* Source-level compatibility with GMP 2 and earlier. */
2190#define mpn_divmod(qp,np,nsize,dp,dsize) \
2191  mpn_divrem (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dp, dsize)
2192
2193/* Source-level compatibility with GMP 1.  */
2194#define mpz_mdiv	mpz_fdiv_q
2195#define mpz_mdivmod	mpz_fdiv_qr
2196#define mpz_mmod	mpz_fdiv_r
2197#define mpz_mdiv_ui	mpz_fdiv_q_ui
2198#define mpz_mdivmod_ui(q,r,n,d) \
2199  (((r) == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d))
2200#define mpz_mmod_ui(r,n,d) \
2201  (((r) == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d))
2202
2203/* Useful synonyms, but not quite compatible with GMP 1.  */
2204#define mpz_div		mpz_fdiv_q
2205#define mpz_divmod	mpz_fdiv_qr
2206#define mpz_div_ui	mpz_fdiv_q_ui
2207#define mpz_divmod_ui	mpz_fdiv_qr_ui
2208#define mpz_div_2exp	mpz_fdiv_q_2exp
2209#define mpz_mod_2exp	mpz_fdiv_r_2exp
2210
2211enum
2212{
2213  GMP_ERROR_NONE = 0,
2214  GMP_ERROR_UNSUPPORTED_ARGUMENT = 1,
2215  GMP_ERROR_DIVISION_BY_ZERO = 2,
2216  GMP_ERROR_SQRT_OF_NEGATIVE = 4,
2217  GMP_ERROR_INVALID_ARGUMENT = 8
2218};
2219
2220/* Define CC and CFLAGS which were used to build this version of GMP */
2221#define __GMP_CC "gcc -std=gnu99"
2222#define __GMP_CFLAGS "-O2 -pedantic"
2223
2224/* Major version number is the value of __GNU_MP__ too, above and in mp.h. */
2225#define __GNU_MP_VERSION            5
2226#define __GNU_MP_VERSION_MINOR      1
2227#define __GNU_MP_VERSION_PATCHLEVEL 3
2228#define __GNU_MP_RELEASE (__GNU_MP_VERSION * 10000 + __GNU_MP_VERSION_MINOR * 100 + __GNU_MP_VERSION_PATCHLEVEL)
2229
2230#define __GMP_H__
2231#endif /* __GMP_H__ */
2232