source: trunk/third/gmp/gmp-h.in @ 18191

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1/* Definitions for GNU multiple precision functions.   -*- mode: c -*-
2
3Copyright 1991, 1993, 1994, 1995, 1996, 1997, 1999, 2000, 2001, 2002
4Free Software Foundation, Inc.
5
6This file is part of the GNU MP Library.
7
8The GNU MP Library is free software; you can redistribute it and/or modify
9it under the terms of the GNU Lesser General Public License as published by
10the Free Software Foundation; either version 2.1 of the License, or (at your
11option) any later version.
12
13The GNU MP Library is distributed in the hope that it will be useful, but
14WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
15or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
16License for more details.
17
18You should have received a copy of the GNU Lesser General Public License
19along with the GNU MP Library; see the file COPYING.LIB.  If not, write to
20the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
21MA 02111-1307, USA. */
22
23#ifndef __GMP_H__
24
25#if defined (__cplusplus)
26#include <iosfwd>   /* for istream, ostream */
27#endif
28
29
30/* Instantiated by configure. */
31#if ! __GMP_WITHIN_CONFIGURE
32#define __GMP_BITS_PER_MP_LIMB             @BITS_PER_MP_LIMB@
33#define __GMP_HAVE_HOST_CPU_FAMILY_power   @HAVE_HOST_CPU_FAMILY_power@
34#define __GMP_HAVE_HOST_CPU_FAMILY_powerpc @HAVE_HOST_CPU_FAMILY_powerpc@
35#define GMP_LIMB_BITS                      @BITS_PER_MP_LIMB@
36#define GMP_NAIL_BITS                      @GMP_NAIL_BITS@
37#endif
38#define GMP_NUMB_BITS     (GMP_LIMB_BITS - GMP_NAIL_BITS)
39#define GMP_NUMB_MASK     ((~(mp_limb_t) 0) >> GMP_NAIL_BITS)
40#define GMP_NUMB_MAX      GMP_NUMB_MASK
41#define GMP_NAIL_MASK     (~ GMP_NUMB_MASK)
42
43
44/* The following (everything under ifndef __GNU_MP__) must be identical in
45   gmp.h and mp.h to allow both to be included in an application or during
46   the library build.  */
47#ifndef __GNU_MP__
48#define __GNU_MP__ 4
49
50#define __need_size_t  /* tell gcc stddef.h we only want size_t */
51#if defined (__cplusplus)
52#include <cstddef>     /* for size_t */
53#else
54#include <stddef.h>    /* for size_t */
55#endif
56#undef __need_size_t
57
58/* Instantiated by configure. */
59#if ! __GMP_WITHIN_CONFIGURE
60@DEFN_LONG_LONG_LIMB@
61#define __GMP_LIBGMP_DLL  @LIBGMP_DLL@
62#endif
63
64
65/* __STDC__ - some ANSI compilers define this only to 0, hence the use of
66       "defined" and not "__STDC__-0".  In particular Sun workshop C 5.0
67       sets __STDC__ to 0, but requires "##" for token pasting.
68
69   _AIX - gnu ansidecl.h asserts that all known AIX compilers are ANSI but
70       don't always define __STDC__.
71
72   _mips - gnu ansidecl.h says the RISC/OS MIPS compiler is ANSI in SVR4
73       mode, but doesn't define __STDC__.
74
75   _MSC_VER - Microsoft C is ANSI, but __STDC__ is undefined unless the /Za
76       option is given (in which case it's 1).
77
78   _WIN32 - tested for by gnu ansidecl.h, no doubt on the assumption that
79      all w32 compilers are ansi.  */
80
81#if  defined (__STDC__)                                 \
82  || defined (__cplusplus)                              \
83  || defined (_AIX)                                     \
84  || defined (__DECC)                                   \
85  || (defined (__mips) && defined (_SYSTYPE_SVR4))      \
86  || defined (_MSC_VER)                                 \
87  || defined (_WIN32)
88#define __GMP_HAVE_CONST        1
89#define __GMP_HAVE_PROTOTYPES   1
90#define __GMP_HAVE_TOKEN_PASTE  1
91#else
92#define __GMP_HAVE_CONST        0
93#define __GMP_HAVE_PROTOTYPES   0
94#define __GMP_HAVE_TOKEN_PASTE  0
95#endif
96
97
98#if __GMP_HAVE_CONST
99#define __gmp_const   const
100#define __gmp_signed  signed
101#else
102#define __gmp_const
103#define __gmp_signed
104#endif
105
106
107/* __GMP_DECLSPEC supports Windows DLL versions of libgmp, and is empty in
108   all other circumstances.
109
110   When compiling objects for libgmp, __GMP_DECLSPEC is an export directive,
111   or when compiling for an application it's an import directive.  The two
112   cases are differentiated by __GMP_WITHIN_GMP defined by the GMP Makefiles
113   (and not defined from an application).
114
115   __GMP_DECLSPEC_XX is similarly used for libgmpxx.  __GMP_WITHIN_GMPXX
116   indicates when building libgmpxx, and in that case libgmpxx functions are
117   exports, but libgmp functions which might get called are imports.
118
119   libmp.la uses __GMP_DECLSPEC, just as if it were libgmp.la.  libgmp and
120   libmp don't call each other, so there's no conflict or confusion.
121
122   Libtool DLL_EXPORT define is not used.
123
124   There's no attempt to support GMP built both static and DLL.  Doing so
125   would mean applications would have to tell us which of the two is going
126   to be used when linking, and that seems very tedious and error prone if
127   using GMP by hand, and equally tedious from a package since autoconf and
128   automake don't give much help.
129
130   __GMP_DECLSPEC is required on all documented global functions and
131   variables, the various internals in gmp-impl.h etc can be left unadorned.
132   But internals used by the test programs or speed measuring programs
133   should have __GMP_DECLSPEC, and certainly constants or variables must
134   have it or the wrong address will be resolved.  */
135
136#if defined (__GNUC__)
137#define __GMP_DECLSPEC_EXPORT  __declspec(__dllexport__)
138#define __GMP_DECLSPEC_IMPORT  __declspec(__dllimport__)
139#endif
140#if defined (_MSC_VER) || defined (__BORLANDC__)
141#define __GMP_DECLSPEC_EXPORT  __declspec(dllexport)
142#define __GMP_DECLSPEC_IMPORT  __declspec(dllimport)
143#endif
144#ifdef __WATCOMC__
145#define __GMP_DECLSPEC_EXPORT  __export
146#define __GMP_DECLSPEC_IMPORT  __import
147#endif
148#ifdef __IBMC__
149#define __GMP_DECLSPEC_EXPORT  _Export
150#define __GMP_DECLSPEC_IMPORT  _Import
151#endif
152
153#if __GMP_LIBGMP_DLL
154#if __GMP_WITHIN_GMP
155/* compiling to go into a DLL libgmp */
156#define __GMP_DECLSPEC  __GMP_DECLSPEC_EXPORT
157#else
158/* compiling to go into an application which will link to a DLL libgmp */
159#define __GMP_DECLSPEC  __GMP_DECLSPEC_IMPORT
160#endif
161#else
162/* all other cases */
163#define __GMP_DECLSPEC
164#endif
165
166
167#ifdef _SHORT_LIMB
168typedef unsigned int            mp_limb_t;
169typedef int                     mp_limb_signed_t;
170#else
171#ifdef _LONG_LONG_LIMB
172typedef unsigned long long int  mp_limb_t;
173typedef long long int           mp_limb_signed_t;
174#else
175typedef unsigned long int       mp_limb_t;
176typedef long int                mp_limb_signed_t;
177#endif
178#endif
179
180typedef mp_limb_t *             mp_ptr;
181typedef __gmp_const mp_limb_t * mp_srcptr;
182#if defined (_CRAY) && ! defined (_CRAYMPP)
183/* plain `int' is much faster (48 bits) */
184#define __GMP_MP_SIZE_T_INT     1
185typedef int                     mp_size_t;
186typedef int                     mp_exp_t;
187#else
188#define __GMP_MP_SIZE_T_INT     0
189typedef long int                mp_size_t;
190typedef long int                mp_exp_t;
191#endif
192
193typedef struct
194{
195  int _mp_alloc;                /* Number of *limbs* allocated and pointed
196                                   to by the _mp_d field.  */
197  int _mp_size;                 /* abs(_mp_size) is the number of limbs the
198                                   last field points to.  If _mp_size is
199                                   negative this is a negative number.  */
200  mp_limb_t *_mp_d;             /* Pointer to the limbs.  */
201} __mpz_struct;
202#endif /* __GNU_MP__ */
203
204typedef __mpz_struct MP_INT;
205typedef __mpz_struct mpz_t[1];
206
207typedef struct
208{
209  __mpz_struct _mp_num;
210  __mpz_struct _mp_den;
211} __mpq_struct;
212
213typedef __mpq_struct MP_RAT;
214typedef __mpq_struct mpq_t[1];
215
216typedef struct
217{
218  int _mp_prec;                 /* Max precision, in number of `mp_limb_t's.
219                                   Set by mpf_init and modified by
220                                   mpf_set_prec.  The area pointed to by the
221                                   _mp_d field contains `prec' + 1 limbs.  */
222  int _mp_size;                 /* abs(_mp_size) is the number of limbs the
223                                   last field points to.  If _mp_size is
224                                   negative this is a negative number.  */
225  mp_exp_t _mp_exp;             /* Exponent, in the base of `mp_limb_t'.  */
226  mp_limb_t *_mp_d;             /* Pointer to the limbs.  */
227} __mpf_struct;
228
229/* typedef __mpf_struct MP_FLOAT; */
230typedef __mpf_struct mpf_t[1];
231
232/* Available random number generation algorithms.  */
233typedef enum
234{
235  GMP_RAND_ALG_DEFAULT = 0,
236  GMP_RAND_ALG_LC = GMP_RAND_ALG_DEFAULT /* Linear congruential.  */
237} gmp_randalg_t;
238
239/* Linear congruential data struct.  */
240typedef struct {
241  mpz_t _mp_a;                  /* Multiplier. */
242  unsigned long int _mp_c;      /* Adder. */
243  mpz_t _mp_m;                  /* Modulus (valid only if m2exp == 0).  */
244  unsigned long int _mp_m2exp;  /* If != 0, modulus is 2 ^ m2exp.  */
245} __gmp_randata_lc;
246
247/* Random state struct.  */
248typedef struct
249{
250  mpz_t _mp_seed;               /* Current seed.  */
251  gmp_randalg_t _mp_alg;        /* Algorithm used.  */
252  union {                       /* Algorithm specific data.  */
253    __gmp_randata_lc *_mp_lc;   /* Linear congruential.  */
254  } _mp_algdata;
255} __gmp_randstate_struct;
256typedef __gmp_randstate_struct gmp_randstate_t[1];
257
258/* Types for function declarations in gmp files.  */
259/* ??? Should not pollute user name space with these ??? */
260typedef __gmp_const __mpz_struct *mpz_srcptr;
261typedef __mpz_struct *mpz_ptr;
262typedef __gmp_const __mpf_struct *mpf_srcptr;
263typedef __mpf_struct *mpf_ptr;
264typedef __gmp_const __mpq_struct *mpq_srcptr;
265typedef __mpq_struct *mpq_ptr;
266
267
268/* This is not wanted in mp.h, so put it outside the __GNU_MP__ common
269   section. */
270#if __GMP_LIBGMP_DLL
271#if __GMP_WITHIN_GMPXX
272/* compiling to go into a DLL libgmpxx */
273#define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_EXPORT
274#else
275/* compiling to go into a application which will link to a DLL libgmpxx */
276#define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_IMPORT
277#endif
278#else
279/* all other cases */
280#define __GMP_DECLSPEC_XX
281#endif
282
283
284#if __GMP_HAVE_PROTOTYPES
285#define __GMP_PROTO(x) x
286#else
287#define __GMP_PROTO(x) ()
288#endif
289
290#ifndef __MPN
291#if __GMP_HAVE_TOKEN_PASTE
292#define __MPN(x) __gmpn_##x
293#else
294#define __MPN(x) __gmpn_/**/x
295#endif
296#endif
297
298#if defined (FILE)                                              \
299  || defined (H_STDIO)                                          \
300  || defined (_H_STDIO)               /* AIX */                 \
301  || defined (_STDIO_H)               /* glibc, Sun, SCO */     \
302  || defined (_STDIO_H_)              /* BSD, OSF */            \
303  || defined (__STDIO_H)              /* Borland */             \
304  || defined (__STDIO_H__)            /* IRIX */                \
305  || defined (_STDIO_INCLUDED)        /* HPUX */                \
306  || defined (__dj_include_stdio_h_)  /* DJGPP */               \
307  || defined (_FILE_DEFINED)          /* Microsoft */          \
308  || defined (__STDIO__)              /* Apple MPW MrC */
309#define _GMP_H_HAVE_FILE 1
310#endif
311
312/* In ISO C, if a prototype involving "struct obstack *" is given without
313   that structure defined, then the struct is scoped down to just the
314   prototype, causing a conflict if it's subsequently defined for real.  So
315   only give prototypes if we've got obstack.h.  */
316#if defined (_OBSTACK_H)   /* glibc <obstack.h> */
317#define _GMP_H_HAVE_OBSTACK 1
318#endif
319
320/* The prototypes for gmp_vprintf etc are provided only if va_list is
321   available, via an application having included <stdarg.h> or <varargs.h>.
322   Usually va_list is a typedef so can't be tested directly, but va_start is
323   almost certainly a macro, so look for that.
324
325   <stdio.h> will define some sort of va_list for vprintf and vfprintf, but
326   let's not bother trying to use that since it's not standard and since
327   application uses for gmp_vprintf etc will almost certainly require the
328   whole <stdarg.h> or <varargs.h> anyway.  */
329
330#ifdef va_start
331#define _GMP_H_HAVE_VA_LIST 1
332#endif
333
334/* Test for gcc >= maj.min, as per __GNUC_PREREQ in glibc */
335#if defined (__GNUC__) && defined (__GNUC_MINOR__)
336#define __GMP_GNUC_PREREQ(maj, min) \
337  ((__GNUC__ << 16) + __GNUC_MINOR__ >= ((maj) << 16) + (min))
338#else
339#define __GMP_GNUC_PREREQ(maj, min)  0
340#endif
341
342/* "pure" is in gcc 2.96 and up, see "(gcc)Function Attributes".  Basically
343   it means a function does nothing but examine its arguments and memory
344   (global or via arguments) to generate a return value, but changes nothing
345   and has no side-effects. */
346#if __GMP_GNUC_PREREQ (2,96)
347#define __GMP_ATTRIBUTE_PURE   __attribute__ ((__pure__))
348#else
349#define __GMP_ATTRIBUTE_PURE
350#endif
351
352
353/* An empty "throw ()" means the function doesn't throw any C++ exceptions,
354   this can save some stack frame info in applications.
355
356   Currently it's given only on functions which never divide-by-zero etc,
357   don't allocate memory, and are expected to never need to allocate memory.
358   This leaves open the possibility of a C++ throw from a future GMP
359   exceptions scheme.
360
361   mpz_set_ui etc are omitted to leave open the lazy allocation scheme
362   described in doc/tasks.html.  mpz_get_d etc are omitted to leave open
363   exceptions for float overflows.
364
365   Note that __GMP_NOTHROW must be given on any inlines the same as on their
366   prototypes (for g++ at least, where they're used together).  Note also
367   that g++ 3.0 demands that __GMP_NOTHROW is before other attributes like
368   __GMP_ATTRIBUTE_PURE.  */
369
370#if defined (__cplusplus)
371#define __GMP_NOTHROW  throw ()
372#else
373#define __GMP_NOTHROW
374#endif
375
376
377/* PORTME: What other compilers have a useful "extern inline"?  "static
378   inline" would be an acceptable substitute if the compiler (or linker)
379   discards unused statics.  */
380
381/* gcc has __inline__ in all modes, including strict ansi.  Give a prototype
382   for an inline too, so as to correctly specify "dllimport" on windows, in
383   case the function is called rather than inlined.  */
384#ifdef __GNUC__
385#define __GMP_EXTERN_INLINE      extern __inline__
386#define __GMP_INLINE_PROTOTYPES  1
387#endif
388
389/* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict
390   ANSI mode (__STDC__ is 1 in that mode).  Inlining only actually takes
391   place under -O.  Without -O "foo" seems to be emitted whether it's used
392   or not, which is wasteful.  "extern inline foo()" isn't useful, the
393   "extern" is apparently ignored, so foo is inlined if possible but also
394   emitted as a global, which causes multiple definition errors when
395   building a shared libgmp.  */
396#if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
397  && ! defined (__GMP_EXTERN_INLINE)
398#define __GMP_EXTERN_INLINE  static inline
399#endif
400
401/* C++ always has "inline" and since it's a normal feature the linker should
402   discard duplicate non-inlined copies, or if it doesn't then that's a
403   problem for everyone, not just GMP.  */
404#if defined (__cplusplus) && ! defined (__GMP_EXTERN_INLINE)
405#define __GMP_EXTERN_INLINE  inline
406#endif
407
408/* Don't do any inlining within a configure run, since if the compiler ends
409   up emitting copies of the code into the object file it can end up
410   demanding the various support routines (like mpn_popcount) for linking,
411   making the "alloca" test and perhaps others fail.  And on hppa ia64 a
412   pre-release gcc 3.2 was seen not respecting the "extern" in "extern
413   __inline__", triggering this problem too.  */
414#if defined (__GMP_WITHIN_CONFIGURE) && ! __GMP_WITHIN_CONFIGURE_INLINE
415#undef __GMP_EXTERN_INLINE
416#endif
417
418/* By default, don't give a prototype when there's going to be an inline
419   version.  Note in particular that Cray C++ objects to the combination of
420   prototype and inline.  */
421#ifdef __GMP_EXTERN_INLINE
422#ifndef __GMP_INLINE_PROTOTYPES
423#define __GMP_INLINE_PROTOTYPES  0
424#endif
425#else
426#define __GMP_INLINE_PROTOTYPES  1
427#endif
428
429
430#define __GMP_ABS(x)   ((x) >= 0 ? (x) : -(x))
431#define __GMP_MAX(h,i) ((h) > (i) ? (h) : (i))
432
433#define __GMP_UINT_MAX   (~ (unsigned) 0)
434#define __GMP_ULONG_MAX  (~ (unsigned long) 0)
435#define __GMP_USHRT_MAX  ((unsigned short) ~0)
436
437
438/* Allow direct user access to numerator and denominator of a mpq_t object.  */
439#define mpq_numref(Q) (&((Q)->_mp_num))
440#define mpq_denref(Q) (&((Q)->_mp_den))
441
442
443#if defined (__cplusplus)
444extern "C" {
445#endif
446
447#define mp_set_memory_functions __gmp_set_memory_functions
448__GMP_DECLSPEC void mp_set_memory_functions __GMP_PROTO ((void *(*) (size_t),
449                                      void *(*) (void *, size_t, size_t),
450                                      void (*) (void *, size_t))) __GMP_NOTHROW;
451
452#define mp_bits_per_limb __gmp_bits_per_limb
453__GMP_DECLSPEC extern __gmp_const int mp_bits_per_limb;
454
455#define gmp_errno __gmp_errno
456__GMP_DECLSPEC extern int gmp_errno;
457
458#define gmp_version __gmp_version
459__GMP_DECLSPEC extern __gmp_const char * __gmp_const gmp_version;
460
461/* The following for internal use only.
462   Enhancement: __gmp_allocate_func could have "__attribute__ ((malloc))",
463   but current gcc (3.0) doesn't seem to support that.  */
464__GMP_DECLSPEC extern void * (*__gmp_allocate_func) __GMP_PROTO ((size_t));
465__GMP_DECLSPEC extern void * (*__gmp_reallocate_func) __GMP_PROTO ((void *, size_t, size_t));
466__GMP_DECLSPEC extern void   (*__gmp_free_func) __GMP_PROTO ((void *, size_t));
467
468
469/**************** Random number routines.  ****************/
470
471/* obsolete */
472#define gmp_randinit __gmp_randinit
473__GMP_DECLSPEC void gmp_randinit __GMP_PROTO ((gmp_randstate_t, gmp_randalg_t, ...));
474
475#define gmp_randinit_default __gmp_randinit_default
476__GMP_DECLSPEC void gmp_randinit_default __GMP_PROTO ((gmp_randstate_t));
477
478#define gmp_randinit_lc __gmp_randinit_lc
479__GMP_DECLSPEC void gmp_randinit_lc __GMP_PROTO ((gmp_randstate_t,
480                              mpz_srcptr, unsigned long int, mpz_srcptr));
481
482#define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
483__GMP_DECLSPEC void gmp_randinit_lc_2exp __GMP_PROTO ((gmp_randstate_t,
484                                   mpz_srcptr, unsigned long int,
485                                   unsigned long int));
486
487#define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size
488__GMP_DECLSPEC int gmp_randinit_lc_2exp_size __GMP_PROTO ((gmp_randstate_t, unsigned long));
489
490#define gmp_randseed __gmp_randseed
491__GMP_DECLSPEC void gmp_randseed __GMP_PROTO ((gmp_randstate_t, mpz_srcptr));
492
493#define gmp_randseed_ui __gmp_randseed_ui
494__GMP_DECLSPEC void gmp_randseed_ui __GMP_PROTO ((gmp_randstate_t, unsigned long int));
495
496#define gmp_randclear __gmp_randclear
497__GMP_DECLSPEC void gmp_randclear __GMP_PROTO ((gmp_randstate_t));
498
499
500/**************** Formatted output routines.  ****************/
501
502#define gmp_asprintf __gmp_asprintf
503__GMP_DECLSPEC int gmp_asprintf __GMP_PROTO ((char **, const char *, ...));
504
505#define gmp_fprintf __gmp_fprintf
506#if _GMP_H_HAVE_FILE
507__GMP_DECLSPEC int gmp_fprintf __GMP_PROTO ((FILE *, const char *, ...));
508#endif
509
510#define gmp_obstack_printf __gmp_obstack_printf
511#if _GMP_H_HAVE_OBSTACK
512__GMP_DECLSPEC int gmp_obstack_printf __GMP_PROTO ((struct obstack *, const char *, ...));
513#endif
514
515#define gmp_obstack_vprintf __gmp_obstack_vprintf
516#if _GMP_H_HAVE_OBSTACK && _GMP_H_HAVE_VA_LIST
517__GMP_DECLSPEC int gmp_obstack_vprintf __GMP_PROTO ((struct obstack *, const char *, va_list));
518#endif
519
520#define gmp_printf __gmp_printf
521__GMP_DECLSPEC int gmp_printf __GMP_PROTO ((const char *, ...));
522
523#define gmp_snprintf __gmp_snprintf
524__GMP_DECLSPEC int gmp_snprintf __GMP_PROTO ((char *, size_t, const char *, ...));
525
526#define gmp_sprintf __gmp_sprintf
527__GMP_DECLSPEC int gmp_sprintf __GMP_PROTO ((char *, const char *, ...));
528
529#define gmp_vasprintf __gmp_vasprintf
530#if _GMP_H_HAVE_VA_LIST
531__GMP_DECLSPEC int gmp_vasprintf __GMP_PROTO ((char **, const char *, va_list));
532#endif
533
534#define gmp_vfprintf __gmp_vfprintf
535#if _GMP_H_HAVE_FILE && _GMP_H_HAVE_VA_LIST
536__GMP_DECLSPEC int gmp_vfprintf __GMP_PROTO ((FILE *, const char *, va_list));
537#endif
538
539#define gmp_vprintf __gmp_vprintf
540#if _GMP_H_HAVE_VA_LIST
541__GMP_DECLSPEC int gmp_vprintf __GMP_PROTO ((const char *, va_list));
542#endif
543
544#define gmp_vsnprintf __gmp_vsnprintf
545#if _GMP_H_HAVE_VA_LIST
546__GMP_DECLSPEC int gmp_vsnprintf __GMP_PROTO ((char *, size_t, const char *, va_list));
547#endif
548
549#define gmp_vsprintf __gmp_vsprintf
550#if _GMP_H_HAVE_VA_LIST
551__GMP_DECLSPEC int gmp_vsprintf __GMP_PROTO ((char *, const char *, va_list));
552#endif
553
554
555/**************** Formatted input routines.  ****************/
556
557#define gmp_fscanf __gmp_fscanf
558#if _GMP_H_HAVE_FILE
559__GMP_DECLSPEC int gmp_fscanf __GMP_PROTO ((FILE *, const char *, ...));
560#endif
561
562#define gmp_scanf __gmp_scanf
563__GMP_DECLSPEC int gmp_scanf __GMP_PROTO ((const char *, ...));
564
565#define gmp_sscanf __gmp_sscanf
566__GMP_DECLSPEC int gmp_sscanf __GMP_PROTO ((const char *, const char *, ...));
567
568#define gmp_vfscanf __gmp_vfscanf
569#if _GMP_H_HAVE_FILE && _GMP_H_HAVE_VA_LIST
570__GMP_DECLSPEC int gmp_vfscanf __GMP_PROTO ((FILE *, const char *, va_list));
571#endif
572
573#define gmp_vscanf __gmp_vscanf
574#if _GMP_H_HAVE_VA_LIST
575__GMP_DECLSPEC int gmp_vscanf __GMP_PROTO ((const char *, va_list));
576#endif
577
578#define gmp_vsscanf __gmp_vsscanf
579#if _GMP_H_HAVE_VA_LIST
580__GMP_DECLSPEC int gmp_vsscanf __GMP_PROTO ((const char *, const char *, va_list));
581#endif
582
583
584/**************** Integer (i.e. Z) routines.  ****************/
585
586#define _mpz_realloc __gmpz_realloc
587#define mpz_realloc __gmpz_realloc
588__GMP_DECLSPEC void *_mpz_realloc __GMP_PROTO ((mpz_ptr, mp_size_t));
589
590#define mpz_abs __gmpz_abs
591#if __GMP_INLINE_PROTOTYPES || __GMP_FORCE_mpz_abs
592__GMP_DECLSPEC void mpz_abs __GMP_PROTO ((mpz_ptr, mpz_srcptr));
593#endif
594
595#define mpz_add __gmpz_add
596__GMP_DECLSPEC void mpz_add __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
597
598#define mpz_add_ui __gmpz_add_ui
599__GMP_DECLSPEC void mpz_add_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
600
601#define mpz_addmul __gmpz_addmul
602__GMP_DECLSPEC void mpz_addmul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
603
604#define mpz_addmul_ui __gmpz_addmul_ui
605__GMP_DECLSPEC void mpz_addmul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
606
607#define mpz_and __gmpz_and
608__GMP_DECLSPEC void mpz_and __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
609
610#define mpz_array_init __gmpz_array_init
611__GMP_DECLSPEC void mpz_array_init __GMP_PROTO ((mpz_ptr, mp_size_t, mp_size_t));
612
613#define mpz_bin_ui __gmpz_bin_ui
614__GMP_DECLSPEC void mpz_bin_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
615
616#define mpz_bin_uiui __gmpz_bin_uiui
617__GMP_DECLSPEC void mpz_bin_uiui __GMP_PROTO ((mpz_ptr, unsigned long int, unsigned long int));
618
619#define mpz_cdiv_q __gmpz_cdiv_q
620__GMP_DECLSPEC void mpz_cdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
621
622#define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
623__GMP_DECLSPEC void mpz_cdiv_q_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long));
624
625#define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
626__GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
627
628#define mpz_cdiv_qr __gmpz_cdiv_qr
629__GMP_DECLSPEC void mpz_cdiv_qr __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
630
631#define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
632__GMP_DECLSPEC unsigned long int mpz_cdiv_qr_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
633
634#define mpz_cdiv_r __gmpz_cdiv_r
635__GMP_DECLSPEC void mpz_cdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
636
637#define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
638__GMP_DECLSPEC void mpz_cdiv_r_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long));
639
640#define mpz_cdiv_r_ui __gmpz_cdiv_r_ui
641__GMP_DECLSPEC unsigned long int mpz_cdiv_r_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
642
643#define mpz_cdiv_ui __gmpz_cdiv_ui
644__GMP_DECLSPEC unsigned long int mpz_cdiv_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
645
646#define mpz_clear __gmpz_clear
647__GMP_DECLSPEC void mpz_clear __GMP_PROTO ((mpz_ptr));
648
649#define mpz_clrbit __gmpz_clrbit
650__GMP_DECLSPEC void mpz_clrbit __GMP_PROTO ((mpz_ptr, unsigned long int));
651
652#define mpz_cmp __gmpz_cmp
653__GMP_DECLSPEC int mpz_cmp __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
654
655#define mpz_cmp_d __gmpz_cmp_d
656__GMP_DECLSPEC int mpz_cmp_d __GMP_PROTO ((mpz_srcptr, double)) __GMP_ATTRIBUTE_PURE;
657
658#define _mpz_cmp_si __gmpz_cmp_si
659__GMP_DECLSPEC int _mpz_cmp_si __GMP_PROTO ((mpz_srcptr, signed long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
660
661#define _mpz_cmp_ui __gmpz_cmp_ui
662__GMP_DECLSPEC int _mpz_cmp_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
663
664#define mpz_cmpabs __gmpz_cmpabs
665__GMP_DECLSPEC int mpz_cmpabs __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
666
667#define mpz_cmpabs_d __gmpz_cmpabs_d
668__GMP_DECLSPEC int mpz_cmpabs_d __GMP_PROTO ((mpz_srcptr, double)) __GMP_ATTRIBUTE_PURE;
669
670#define mpz_cmpabs_ui __gmpz_cmpabs_ui
671__GMP_DECLSPEC int mpz_cmpabs_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
672
673#define mpz_com __gmpz_com
674__GMP_DECLSPEC void mpz_com __GMP_PROTO ((mpz_ptr, mpz_srcptr));
675
676#define mpz_congruent_p __gmpz_congruent_p
677__GMP_DECLSPEC int mpz_congruent_p __GMP_PROTO ((mpz_srcptr, mpz_srcptr, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
678
679#define mpz_congruent_2exp_p __gmpz_congruent_2exp_p
680__GMP_DECLSPEC int mpz_congruent_2exp_p __GMP_PROTO ((mpz_srcptr, mpz_srcptr, unsigned long)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
681
682#define mpz_congruent_ui_p __gmpz_congruent_ui_p
683__GMP_DECLSPEC int mpz_congruent_ui_p __GMP_PROTO ((mpz_srcptr, unsigned long, unsigned long)) __GMP_ATTRIBUTE_PURE;
684
685#define mpz_divexact __gmpz_divexact
686__GMP_DECLSPEC void mpz_divexact __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
687
688#define mpz_divexact_ui __gmpz_divexact_ui
689__GMP_DECLSPEC void mpz_divexact_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long));
690
691#define mpz_divisible_p __gmpz_divisible_p
692__GMP_DECLSPEC int mpz_divisible_p __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
693
694#define mpz_divisible_ui_p __gmpz_divisible_ui_p
695__GMP_DECLSPEC int mpz_divisible_ui_p __GMP_PROTO ((mpz_srcptr, unsigned long)) __GMP_ATTRIBUTE_PURE;
696
697#define mpz_divisible_2exp_p __gmpz_divisible_2exp_p
698__GMP_DECLSPEC int mpz_divisible_2exp_p __GMP_PROTO ((mpz_srcptr, unsigned long)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
699
700#define mpz_dump __gmpz_dump
701__GMP_DECLSPEC void mpz_dump __GMP_PROTO ((mpz_srcptr));
702
703#define mpz_export __gmpz_export
704__GMP_DECLSPEC void *mpz_export __GMP_PROTO ((void *, size_t *, int, size_t, int, size_t, mpz_srcptr));
705
706#define mpz_fac_ui __gmpz_fac_ui
707__GMP_DECLSPEC void mpz_fac_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
708
709#define mpz_fdiv_q __gmpz_fdiv_q
710__GMP_DECLSPEC void mpz_fdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
711
712#define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
713__GMP_DECLSPEC void mpz_fdiv_q_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
714
715#define mpz_fdiv_q_ui __gmpz_fdiv_q_ui
716__GMP_DECLSPEC unsigned long int mpz_fdiv_q_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
717
718#define mpz_fdiv_qr __gmpz_fdiv_qr
719__GMP_DECLSPEC void mpz_fdiv_qr __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
720
721#define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui
722__GMP_DECLSPEC unsigned long int mpz_fdiv_qr_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
723
724#define mpz_fdiv_r __gmpz_fdiv_r
725__GMP_DECLSPEC void mpz_fdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
726
727#define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
728__GMP_DECLSPEC void mpz_fdiv_r_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
729
730#define mpz_fdiv_r_ui __gmpz_fdiv_r_ui
731__GMP_DECLSPEC unsigned long int mpz_fdiv_r_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
732
733#define mpz_fdiv_ui __gmpz_fdiv_ui
734__GMP_DECLSPEC unsigned long int mpz_fdiv_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
735
736#define mpz_fib_ui __gmpz_fib_ui
737__GMP_DECLSPEC void mpz_fib_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
738
739#define mpz_fib2_ui __gmpz_fib2_ui
740__GMP_DECLSPEC void mpz_fib2_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, unsigned long int));
741
742#define mpz_fits_sint_p __gmpz_fits_sint_p
743__GMP_DECLSPEC int mpz_fits_sint_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
744
745#define mpz_fits_slong_p __gmpz_fits_slong_p
746__GMP_DECLSPEC int mpz_fits_slong_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
747
748#define mpz_fits_sshort_p __gmpz_fits_sshort_p
749__GMP_DECLSPEC int mpz_fits_sshort_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
750
751#define mpz_fits_uint_p __gmpz_fits_uint_p
752#if __GMP_INLINE_PROTOTYPES || __GMP_FORCE_mpz_fits_uint_p
753__GMP_DECLSPEC int mpz_fits_uint_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
754#endif
755
756#define mpz_fits_ulong_p __gmpz_fits_ulong_p
757#if __GMP_INLINE_PROTOTYPES || __GMP_FORCE_mpz_fits_ulong_p
758__GMP_DECLSPEC int mpz_fits_ulong_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
759#endif
760
761#define mpz_fits_ushort_p __gmpz_fits_ushort_p
762#if __GMP_INLINE_PROTOTYPES || __GMP_FORCE_mpz_fits_ushort_p
763__GMP_DECLSPEC int mpz_fits_ushort_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
764#endif
765
766#define mpz_gcd __gmpz_gcd
767__GMP_DECLSPEC void mpz_gcd __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
768
769#define mpz_gcd_ui __gmpz_gcd_ui
770__GMP_DECLSPEC unsigned long int mpz_gcd_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
771
772#define mpz_gcdext __gmpz_gcdext
773__GMP_DECLSPEC void mpz_gcdext __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
774
775#define mpz_get_d __gmpz_get_d
776__GMP_DECLSPEC double mpz_get_d __GMP_PROTO ((mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
777
778#define mpz_get_d_2exp __gmpz_get_d_2exp
779__GMP_DECLSPEC double mpz_get_d_2exp __GMP_PROTO ((signed long int *, mpz_srcptr));
780
781#define mpz_get_si __gmpz_get_si
782__GMP_DECLSPEC /* signed */ long int mpz_get_si __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
783
784#define mpz_get_str __gmpz_get_str
785__GMP_DECLSPEC char *mpz_get_str __GMP_PROTO ((char *, int, mpz_srcptr));
786
787#define mpz_get_ui __gmpz_get_ui
788#if __GMP_INLINE_PROTOTYPES || __GMP_FORCE_mpz_get_ui
789__GMP_DECLSPEC unsigned long int mpz_get_ui __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
790#endif
791
792#define mpz_getlimbn __gmpz_getlimbn
793#if __GMP_INLINE_PROTOTYPES || __GMP_FORCE_mpz_getlimbn
794__GMP_DECLSPEC mp_limb_t mpz_getlimbn __GMP_PROTO ((mpz_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
795#endif
796
797#define mpz_hamdist __gmpz_hamdist
798__GMP_DECLSPEC unsigned long int mpz_hamdist __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
799
800#define mpz_import __gmpz_import
801__GMP_DECLSPEC void mpz_import __GMP_PROTO ((mpz_ptr, size_t, int, size_t, int, size_t, const void *));
802
803#define mpz_init __gmpz_init
804__GMP_DECLSPEC void mpz_init __GMP_PROTO ((mpz_ptr));
805
806#define mpz_init2 __gmpz_init2
807__GMP_DECLSPEC void mpz_init2 __GMP_PROTO ((mpz_ptr, unsigned long));
808
809#define mpz_init_set __gmpz_init_set
810__GMP_DECLSPEC void mpz_init_set __GMP_PROTO ((mpz_ptr, mpz_srcptr));
811
812#define mpz_init_set_d __gmpz_init_set_d
813__GMP_DECLSPEC void mpz_init_set_d __GMP_PROTO ((mpz_ptr, double));
814
815#define mpz_init_set_si __gmpz_init_set_si
816__GMP_DECLSPEC void mpz_init_set_si __GMP_PROTO ((mpz_ptr, signed long int));
817
818#define mpz_init_set_str __gmpz_init_set_str
819__GMP_DECLSPEC int mpz_init_set_str __GMP_PROTO ((mpz_ptr, __gmp_const char *, int));
820
821#define mpz_init_set_ui __gmpz_init_set_ui
822__GMP_DECLSPEC void mpz_init_set_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
823
824#define mpz_inp_raw __gmpz_inp_raw
825#ifdef _GMP_H_HAVE_FILE
826__GMP_DECLSPEC size_t mpz_inp_raw __GMP_PROTO ((mpz_ptr, FILE *));
827#endif
828
829#define mpz_inp_str __gmpz_inp_str
830#ifdef _GMP_H_HAVE_FILE
831__GMP_DECLSPEC size_t mpz_inp_str __GMP_PROTO ((mpz_ptr, FILE *, int));
832#endif
833
834#define mpz_invert __gmpz_invert
835__GMP_DECLSPEC int mpz_invert __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
836
837#define mpz_ior __gmpz_ior
838__GMP_DECLSPEC void mpz_ior __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
839
840#define mpz_jacobi __gmpz_jacobi
841__GMP_DECLSPEC int mpz_jacobi __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
842
843#define mpz_kronecker mpz_jacobi  /* alias */
844
845#define mpz_kronecker_si __gmpz_kronecker_si
846__GMP_DECLSPEC int mpz_kronecker_si __GMP_PROTO ((mpz_srcptr, long)) __GMP_ATTRIBUTE_PURE;
847
848#define mpz_kronecker_ui __gmpz_kronecker_ui
849__GMP_DECLSPEC int mpz_kronecker_ui __GMP_PROTO ((mpz_srcptr, unsigned long)) __GMP_ATTRIBUTE_PURE;
850
851#define mpz_si_kronecker __gmpz_si_kronecker
852__GMP_DECLSPEC int mpz_si_kronecker __GMP_PROTO ((long, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
853
854#define mpz_ui_kronecker __gmpz_ui_kronecker
855__GMP_DECLSPEC int mpz_ui_kronecker __GMP_PROTO ((unsigned long, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
856
857#define mpz_lcm __gmpz_lcm
858__GMP_DECLSPEC void mpz_lcm __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
859
860#define mpz_lcm_ui __gmpz_lcm_ui
861__GMP_DECLSPEC void mpz_lcm_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long));
862
863#define mpz_legendre mpz_jacobi  /* alias */
864
865#define mpz_lucnum_ui __gmpz_lucnum_ui
866__GMP_DECLSPEC void mpz_lucnum_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
867
868#define mpz_lucnum2_ui __gmpz_lucnum2_ui
869__GMP_DECLSPEC void mpz_lucnum2_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, unsigned long int));
870
871#define mpz_millerrabin __gmpz_millerrabin
872__GMP_DECLSPEC int mpz_millerrabin __GMP_PROTO ((mpz_srcptr, int)) __GMP_ATTRIBUTE_PURE;
873
874#define mpz_mod __gmpz_mod
875__GMP_DECLSPEC void mpz_mod __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
876
877#define mpz_mul __gmpz_mul
878__GMP_DECLSPEC void mpz_mul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
879
880#define mpz_mul_2exp __gmpz_mul_2exp
881__GMP_DECLSPEC void mpz_mul_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
882
883#define mpz_mul_si __gmpz_mul_si
884__GMP_DECLSPEC void mpz_mul_si __GMP_PROTO ((mpz_ptr, mpz_srcptr, long int));
885
886#define mpz_mul_ui __gmpz_mul_ui
887__GMP_DECLSPEC void mpz_mul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
888
889#define mpz_neg __gmpz_neg
890#if __GMP_INLINE_PROTOTYPES || __GMP_FORCE_mpz_neg
891__GMP_DECLSPEC void mpz_neg __GMP_PROTO ((mpz_ptr, mpz_srcptr));
892#endif
893
894#define mpz_nextprime __gmpz_nextprime
895__GMP_DECLSPEC void mpz_nextprime __GMP_PROTO ((mpz_ptr, mpz_srcptr));
896
897#define mpz_out_raw __gmpz_out_raw
898#ifdef _GMP_H_HAVE_FILE
899__GMP_DECLSPEC size_t mpz_out_raw __GMP_PROTO ((FILE *, mpz_srcptr));
900#endif
901
902#define mpz_out_str __gmpz_out_str
903#ifdef _GMP_H_HAVE_FILE
904__GMP_DECLSPEC size_t mpz_out_str __GMP_PROTO ((FILE *, int, mpz_srcptr));
905#endif
906
907#define mpz_perfect_power_p __gmpz_perfect_power_p
908__GMP_DECLSPEC int mpz_perfect_power_p __GMP_PROTO ((mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
909
910#define mpz_perfect_square_p __gmpz_perfect_square_p
911#if __GMP_INLINE_PROTOTYPES || __GMP_FORCE_mpz_perfect_square_p
912__GMP_DECLSPEC int mpz_perfect_square_p __GMP_PROTO ((mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
913#endif
914
915#define mpz_popcount __gmpz_popcount
916#if __GMP_INLINE_PROTOTYPES || __GMP_FORCE_mpz_popcount
917__GMP_DECLSPEC unsigned long int mpz_popcount __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
918#endif
919
920#define mpz_pow_ui __gmpz_pow_ui
921__GMP_DECLSPEC void mpz_pow_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
922
923#define mpz_powm __gmpz_powm
924__GMP_DECLSPEC void mpz_powm __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr));
925
926#define mpz_powm_ui __gmpz_powm_ui
927__GMP_DECLSPEC void mpz_powm_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr));
928
929#define mpz_probab_prime_p __gmpz_probab_prime_p
930__GMP_DECLSPEC int mpz_probab_prime_p __GMP_PROTO ((mpz_srcptr, int)) __GMP_ATTRIBUTE_PURE;
931
932#define mpz_random __gmpz_random
933__GMP_DECLSPEC void mpz_random __GMP_PROTO ((mpz_ptr, mp_size_t));
934
935#define mpz_random2 __gmpz_random2
936__GMP_DECLSPEC void mpz_random2 __GMP_PROTO ((mpz_ptr, mp_size_t));
937
938#define mpz_realloc2 __gmpz_realloc2
939__GMP_DECLSPEC void mpz_realloc2 __GMP_PROTO ((mpz_ptr, unsigned long));
940
941#define mpz_remove __gmpz_remove
942__GMP_DECLSPEC unsigned long int mpz_remove __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
943
944#define mpz_root __gmpz_root
945__GMP_DECLSPEC int mpz_root __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
946
947#define mpz_rrandomb __gmpz_rrandomb
948__GMP_DECLSPEC void mpz_rrandomb __GMP_PROTO ((mpz_ptr, gmp_randstate_t, unsigned long int));
949
950#define mpz_scan0 __gmpz_scan0
951__GMP_DECLSPEC unsigned long int mpz_scan0 __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
952
953#define mpz_scan1 __gmpz_scan1
954__GMP_DECLSPEC unsigned long int mpz_scan1 __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
955
956#define mpz_set __gmpz_set
957__GMP_DECLSPEC void mpz_set __GMP_PROTO ((mpz_ptr, mpz_srcptr));
958
959#define mpz_set_d __gmpz_set_d
960__GMP_DECLSPEC void mpz_set_d __GMP_PROTO ((mpz_ptr, double));
961
962#define mpz_set_f __gmpz_set_f
963__GMP_DECLSPEC void mpz_set_f __GMP_PROTO ((mpz_ptr, mpf_srcptr));
964
965#define mpz_set_q __gmpz_set_q
966#if __GMP_INLINE_PROTOTYPES || __GMP_FORCE_mpz_set_q
967__GMP_DECLSPEC void mpz_set_q __GMP_PROTO ((mpz_ptr, mpq_srcptr));
968#endif
969
970#define mpz_set_si __gmpz_set_si
971__GMP_DECLSPEC void mpz_set_si __GMP_PROTO ((mpz_ptr, signed long int));
972
973#define mpz_set_str __gmpz_set_str
974__GMP_DECLSPEC int mpz_set_str __GMP_PROTO ((mpz_ptr, __gmp_const char *, int));
975
976#define mpz_set_ui __gmpz_set_ui
977__GMP_DECLSPEC void mpz_set_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
978
979#define mpz_setbit __gmpz_setbit
980__GMP_DECLSPEC void mpz_setbit __GMP_PROTO ((mpz_ptr, unsigned long int));
981
982#define mpz_size __gmpz_size
983#if __GMP_INLINE_PROTOTYPES || __GMP_FORCE_mpz_size
984__GMP_DECLSPEC size_t mpz_size __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
985#endif
986
987#define mpz_sizeinbase __gmpz_sizeinbase
988__GMP_DECLSPEC size_t mpz_sizeinbase __GMP_PROTO ((mpz_srcptr, int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
989
990#define mpz_sqrt __gmpz_sqrt
991__GMP_DECLSPEC void mpz_sqrt __GMP_PROTO ((mpz_ptr, mpz_srcptr));
992
993#define mpz_sqrtrem __gmpz_sqrtrem
994__GMP_DECLSPEC void mpz_sqrtrem __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr));
995
996#define mpz_sub __gmpz_sub
997__GMP_DECLSPEC void mpz_sub __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
998
999#define mpz_sub_ui __gmpz_sub_ui
1000__GMP_DECLSPEC void mpz_sub_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1001
1002#define mpz_ui_sub __gmpz_ui_sub
1003__GMP_DECLSPEC void mpz_ui_sub __GMP_PROTO ((mpz_ptr, unsigned long int, mpz_srcptr));
1004
1005#define mpz_submul __gmpz_submul
1006__GMP_DECLSPEC void mpz_submul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1007
1008#define mpz_submul_ui __gmpz_submul_ui
1009__GMP_DECLSPEC void mpz_submul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1010
1011#define mpz_swap __gmpz_swap
1012__GMP_DECLSPEC void mpz_swap __GMP_PROTO ((mpz_ptr, mpz_ptr)) __GMP_NOTHROW;
1013
1014#define mpz_tdiv_ui __gmpz_tdiv_ui
1015__GMP_DECLSPEC unsigned long int mpz_tdiv_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
1016
1017#define mpz_tdiv_q __gmpz_tdiv_q
1018__GMP_DECLSPEC void mpz_tdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1019
1020#define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp
1021__GMP_DECLSPEC void mpz_tdiv_q_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1022
1023#define mpz_tdiv_q_ui __gmpz_tdiv_q_ui
1024__GMP_DECLSPEC unsigned long int mpz_tdiv_q_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1025
1026#define mpz_tdiv_qr __gmpz_tdiv_qr
1027__GMP_DECLSPEC void mpz_tdiv_qr __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
1028
1029#define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui
1030__GMP_DECLSPEC unsigned long int mpz_tdiv_qr_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
1031
1032#define mpz_tdiv_r __gmpz_tdiv_r
1033__GMP_DECLSPEC void mpz_tdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1034
1035#define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp
1036__GMP_DECLSPEC void mpz_tdiv_r_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1037
1038#define mpz_tdiv_r_ui __gmpz_tdiv_r_ui
1039__GMP_DECLSPEC unsigned long int mpz_tdiv_r_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1040
1041#define mpz_tstbit __gmpz_tstbit
1042__GMP_DECLSPEC int mpz_tstbit __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1043
1044#define mpz_ui_pow_ui __gmpz_ui_pow_ui
1045__GMP_DECLSPEC void mpz_ui_pow_ui __GMP_PROTO ((mpz_ptr, unsigned long int, unsigned long int));
1046
1047#define mpz_urandomb __gmpz_urandomb
1048__GMP_DECLSPEC void mpz_urandomb __GMP_PROTO ((mpz_ptr, gmp_randstate_t, unsigned long int));
1049
1050#define mpz_urandomm __gmpz_urandomm
1051__GMP_DECLSPEC void mpz_urandomm __GMP_PROTO ((mpz_ptr, gmp_randstate_t, mpz_srcptr));
1052
1053#define mpz_xor __gmpz_xor
1054#define mpz_eor __gmpz_xor
1055__GMP_DECLSPEC void mpz_xor __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1056
1057
1058/**************** Rational (i.e. Q) routines.  ****************/
1059
1060#define mpq_abs __gmpq_abs
1061#if __GMP_INLINE_PROTOTYPES || __GMP_FORCE_mpq_abs
1062__GMP_DECLSPEC void mpq_abs __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1063#endif
1064
1065#define mpq_add __gmpq_add
1066__GMP_DECLSPEC void mpq_add __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1067
1068#define mpq_canonicalize __gmpq_canonicalize
1069__GMP_DECLSPEC void mpq_canonicalize __GMP_PROTO ((mpq_ptr));
1070
1071#define mpq_clear __gmpq_clear
1072__GMP_DECLSPEC void mpq_clear __GMP_PROTO ((mpq_ptr));
1073
1074#define mpq_cmp __gmpq_cmp
1075__GMP_DECLSPEC int mpq_cmp __GMP_PROTO ((mpq_srcptr, mpq_srcptr)) __GMP_ATTRIBUTE_PURE;
1076
1077#define _mpq_cmp_si __gmpq_cmp_si
1078__GMP_DECLSPEC int _mpq_cmp_si __GMP_PROTO ((mpq_srcptr, long, unsigned long)) __GMP_ATTRIBUTE_PURE;
1079
1080#define _mpq_cmp_ui __gmpq_cmp_ui
1081__GMP_DECLSPEC int _mpq_cmp_ui __GMP_PROTO ((mpq_srcptr, unsigned long int, unsigned long int)) __GMP_ATTRIBUTE_PURE;
1082
1083#define mpq_div __gmpq_div
1084__GMP_DECLSPEC void mpq_div __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1085
1086#define mpq_div_2exp __gmpq_div_2exp
1087__GMP_DECLSPEC void mpq_div_2exp __GMP_PROTO ((mpq_ptr, mpq_srcptr, unsigned long));
1088
1089#define mpq_equal __gmpq_equal
1090__GMP_DECLSPEC int mpq_equal __GMP_PROTO ((mpq_srcptr, mpq_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1091
1092#define mpq_get_num __gmpq_get_num
1093__GMP_DECLSPEC void mpq_get_num __GMP_PROTO ((mpz_ptr, mpq_srcptr));
1094
1095#define mpq_get_den __gmpq_get_den
1096__GMP_DECLSPEC void mpq_get_den __GMP_PROTO ((mpz_ptr, mpq_srcptr));
1097
1098#define mpq_get_d __gmpq_get_d
1099__GMP_DECLSPEC double mpq_get_d __GMP_PROTO ((mpq_srcptr)) __GMP_ATTRIBUTE_PURE;
1100
1101#define mpq_get_str __gmpq_get_str
1102__GMP_DECLSPEC char *mpq_get_str __GMP_PROTO ((char *, int, mpq_srcptr));
1103
1104#define mpq_init __gmpq_init
1105__GMP_DECLSPEC void mpq_init __GMP_PROTO ((mpq_ptr));
1106
1107#define mpq_inp_str __gmpq_inp_str
1108#ifdef _GMP_H_HAVE_FILE
1109__GMP_DECLSPEC size_t mpq_inp_str __GMP_PROTO ((mpq_ptr, FILE *, int));
1110#endif
1111
1112#define mpq_inv __gmpq_inv
1113__GMP_DECLSPEC void mpq_inv __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1114
1115#define mpq_mul __gmpq_mul
1116__GMP_DECLSPEC void mpq_mul __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1117
1118#define mpq_mul_2exp __gmpq_mul_2exp
1119__GMP_DECLSPEC void mpq_mul_2exp __GMP_PROTO ((mpq_ptr, mpq_srcptr, unsigned long));
1120
1121#define mpq_neg __gmpq_neg
1122#if __GMP_INLINE_PROTOTYPES || __GMP_FORCE_mpq_neg
1123__GMP_DECLSPEC void mpq_neg __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1124#endif
1125
1126#define mpq_out_str __gmpq_out_str
1127#ifdef _GMP_H_HAVE_FILE
1128__GMP_DECLSPEC size_t mpq_out_str __GMP_PROTO ((FILE *, int, mpq_srcptr));
1129#endif
1130
1131#define mpq_set __gmpq_set
1132__GMP_DECLSPEC void mpq_set __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1133
1134#define mpq_set_d __gmpq_set_d
1135__GMP_DECLSPEC void mpq_set_d __GMP_PROTO ((mpq_ptr, double));
1136
1137#define mpq_set_den __gmpq_set_den
1138__GMP_DECLSPEC void mpq_set_den __GMP_PROTO ((mpq_ptr, mpz_srcptr));
1139
1140#define mpq_set_f __gmpq_set_f
1141__GMP_DECLSPEC void mpq_set_f __GMP_PROTO ((mpq_ptr, mpf_srcptr));
1142
1143#define mpq_set_num __gmpq_set_num
1144__GMP_DECLSPEC void mpq_set_num __GMP_PROTO ((mpq_ptr, mpz_srcptr));
1145
1146#define mpq_set_si __gmpq_set_si
1147__GMP_DECLSPEC void mpq_set_si __GMP_PROTO ((mpq_ptr, signed long int, unsigned long int));
1148
1149#define mpq_set_str __gmpq_set_str
1150__GMP_DECLSPEC int mpq_set_str __GMP_PROTO ((mpq_ptr, const char *, int));
1151
1152#define mpq_set_ui __gmpq_set_ui
1153__GMP_DECLSPEC void mpq_set_ui __GMP_PROTO ((mpq_ptr, unsigned long int, unsigned long int));
1154
1155#define mpq_set_z __gmpq_set_z
1156__GMP_DECLSPEC void mpq_set_z __GMP_PROTO ((mpq_ptr, mpz_srcptr));
1157
1158#define mpq_sub __gmpq_sub
1159__GMP_DECLSPEC void mpq_sub __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1160
1161#define mpq_swap __gmpq_swap
1162__GMP_DECLSPEC void mpq_swap __GMP_PROTO ((mpq_ptr, mpq_ptr)) __GMP_NOTHROW;
1163
1164
1165/**************** Float (i.e. F) routines.  ****************/
1166
1167#define mpf_abs __gmpf_abs
1168__GMP_DECLSPEC void mpf_abs __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1169
1170#define mpf_add __gmpf_add
1171__GMP_DECLSPEC void mpf_add __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1172
1173#define mpf_add_ui __gmpf_add_ui
1174__GMP_DECLSPEC void mpf_add_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1175#define mpf_ceil __gmpf_ceil
1176__GMP_DECLSPEC void mpf_ceil __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1177
1178#define mpf_clear __gmpf_clear
1179__GMP_DECLSPEC void mpf_clear __GMP_PROTO ((mpf_ptr));
1180
1181#define mpf_cmp __gmpf_cmp
1182__GMP_DECLSPEC int mpf_cmp __GMP_PROTO ((mpf_srcptr, mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1183
1184#define mpf_cmp_d __gmpf_cmp_d
1185__GMP_DECLSPEC int mpf_cmp_d __GMP_PROTO ((mpf_srcptr, double)) __GMP_ATTRIBUTE_PURE;
1186
1187#define mpf_cmp_si __gmpf_cmp_si
1188__GMP_DECLSPEC int mpf_cmp_si __GMP_PROTO ((mpf_srcptr, signed long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1189
1190#define mpf_cmp_ui __gmpf_cmp_ui
1191__GMP_DECLSPEC int mpf_cmp_ui __GMP_PROTO ((mpf_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1192
1193#define mpf_div __gmpf_div
1194__GMP_DECLSPEC void mpf_div __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1195
1196#define mpf_div_2exp __gmpf_div_2exp
1197__GMP_DECLSPEC void mpf_div_2exp __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1198
1199#define mpf_div_ui __gmpf_div_ui
1200__GMP_DECLSPEC void mpf_div_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1201
1202#define mpf_dump __gmpf_dump
1203__GMP_DECLSPEC void mpf_dump __GMP_PROTO ((mpf_srcptr));
1204
1205#define mpf_eq __gmpf_eq
1206__GMP_DECLSPEC int mpf_eq __GMP_PROTO ((mpf_srcptr, mpf_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
1207
1208#define mpf_fits_sint_p __gmpf_fits_sint_p
1209__GMP_DECLSPEC int mpf_fits_sint_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1210
1211#define mpf_fits_slong_p __gmpf_fits_slong_p
1212__GMP_DECLSPEC int mpf_fits_slong_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1213
1214#define mpf_fits_sshort_p __gmpf_fits_sshort_p
1215__GMP_DECLSPEC int mpf_fits_sshort_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1216
1217#define mpf_fits_uint_p __gmpf_fits_uint_p
1218__GMP_DECLSPEC int mpf_fits_uint_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1219
1220#define mpf_fits_ulong_p __gmpf_fits_ulong_p
1221__GMP_DECLSPEC int mpf_fits_ulong_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1222
1223#define mpf_fits_ushort_p __gmpf_fits_ushort_p
1224__GMP_DECLSPEC int mpf_fits_ushort_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1225
1226#define mpf_floor __gmpf_floor
1227__GMP_DECLSPEC void mpf_floor __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1228
1229#define mpf_get_d __gmpf_get_d
1230__GMP_DECLSPEC double mpf_get_d __GMP_PROTO ((mpf_srcptr)) __GMP_ATTRIBUTE_PURE;
1231
1232#define mpf_get_d_2exp __gmpf_get_d_2exp
1233__GMP_DECLSPEC double mpf_get_d_2exp __GMP_PROTO ((signed long int *, mpf_srcptr));
1234
1235#define mpf_get_default_prec __gmpf_get_default_prec
1236__GMP_DECLSPEC unsigned long int mpf_get_default_prec __GMP_PROTO ((void)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1237
1238#define mpf_get_prec __gmpf_get_prec
1239__GMP_DECLSPEC unsigned long int mpf_get_prec __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1240
1241#define mpf_get_si __gmpf_get_si
1242__GMP_DECLSPEC long mpf_get_si __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1243
1244#define mpf_get_str __gmpf_get_str
1245__GMP_DECLSPEC char *mpf_get_str __GMP_PROTO ((char *, mp_exp_t *, int, size_t, mpf_srcptr));
1246
1247#define mpf_get_ui __gmpf_get_ui
1248__GMP_DECLSPEC unsigned long mpf_get_ui __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1249
1250#define mpf_init __gmpf_init
1251__GMP_DECLSPEC void mpf_init __GMP_PROTO ((mpf_ptr));
1252
1253#define mpf_init2 __gmpf_init2
1254__GMP_DECLSPEC void mpf_init2 __GMP_PROTO ((mpf_ptr, unsigned long int));
1255
1256#define mpf_init_set __gmpf_init_set
1257__GMP_DECLSPEC void mpf_init_set __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1258
1259#define mpf_init_set_d __gmpf_init_set_d
1260__GMP_DECLSPEC void mpf_init_set_d __GMP_PROTO ((mpf_ptr, double));
1261
1262#define mpf_init_set_si __gmpf_init_set_si
1263__GMP_DECLSPEC void mpf_init_set_si __GMP_PROTO ((mpf_ptr, signed long int));
1264
1265#define mpf_init_set_str __gmpf_init_set_str
1266__GMP_DECLSPEC int mpf_init_set_str __GMP_PROTO ((mpf_ptr, __gmp_const char *, int));
1267
1268#define mpf_init_set_ui __gmpf_init_set_ui
1269__GMP_DECLSPEC void mpf_init_set_ui __GMP_PROTO ((mpf_ptr, unsigned long int));
1270
1271#define mpf_inp_str __gmpf_inp_str
1272#ifdef _GMP_H_HAVE_FILE
1273__GMP_DECLSPEC size_t mpf_inp_str __GMP_PROTO ((mpf_ptr, FILE *, int));
1274#endif
1275
1276#define mpf_integer_p __gmpf_integer_p
1277__GMP_DECLSPEC int mpf_integer_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1278
1279#define mpf_mul __gmpf_mul
1280__GMP_DECLSPEC void mpf_mul __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1281
1282#define mpf_mul_2exp __gmpf_mul_2exp
1283__GMP_DECLSPEC void mpf_mul_2exp __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1284
1285#define mpf_mul_ui __gmpf_mul_ui
1286__GMP_DECLSPEC void mpf_mul_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1287
1288#define mpf_neg __gmpf_neg
1289__GMP_DECLSPEC void mpf_neg __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1290
1291#define mpf_out_str __gmpf_out_str
1292#ifdef _GMP_H_HAVE_FILE
1293__GMP_DECLSPEC size_t mpf_out_str __GMP_PROTO ((FILE *, int, size_t, mpf_srcptr));
1294#endif
1295
1296#define mpf_pow_ui __gmpf_pow_ui
1297__GMP_DECLSPEC void mpf_pow_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1298
1299#define mpf_random2 __gmpf_random2
1300__GMP_DECLSPEC void mpf_random2 __GMP_PROTO ((mpf_ptr, mp_size_t, mp_exp_t));
1301
1302#define mpf_reldiff __gmpf_reldiff
1303__GMP_DECLSPEC void mpf_reldiff __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1304
1305#define mpf_set __gmpf_set
1306__GMP_DECLSPEC void mpf_set __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1307
1308#define mpf_set_d __gmpf_set_d
1309__GMP_DECLSPEC void mpf_set_d __GMP_PROTO ((mpf_ptr, double));
1310
1311#define mpf_set_default_prec __gmpf_set_default_prec
1312__GMP_DECLSPEC void mpf_set_default_prec __GMP_PROTO ((unsigned long int)) __GMP_NOTHROW;
1313
1314#define mpf_set_prec __gmpf_set_prec
1315__GMP_DECLSPEC void mpf_set_prec __GMP_PROTO ((mpf_ptr, unsigned long int));
1316
1317#define mpf_set_prec_raw __gmpf_set_prec_raw
1318__GMP_DECLSPEC void mpf_set_prec_raw __GMP_PROTO ((mpf_ptr, unsigned long int)) __GMP_NOTHROW;
1319
1320#define mpf_set_q __gmpf_set_q
1321__GMP_DECLSPEC void mpf_set_q __GMP_PROTO ((mpf_ptr, mpq_srcptr));
1322
1323#define mpf_set_si __gmpf_set_si
1324__GMP_DECLSPEC void mpf_set_si __GMP_PROTO ((mpf_ptr, signed long int));
1325
1326#define mpf_set_str __gmpf_set_str
1327__GMP_DECLSPEC int mpf_set_str __GMP_PROTO ((mpf_ptr, __gmp_const char *, int));
1328
1329#define mpf_set_ui __gmpf_set_ui
1330__GMP_DECLSPEC void mpf_set_ui __GMP_PROTO ((mpf_ptr, unsigned long int));
1331
1332#define mpf_set_z __gmpf_set_z
1333__GMP_DECLSPEC void mpf_set_z __GMP_PROTO ((mpf_ptr, mpz_srcptr));
1334
1335#define mpf_size __gmpf_size
1336__GMP_DECLSPEC size_t mpf_size __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1337
1338#define mpf_sqrt __gmpf_sqrt
1339__GMP_DECLSPEC void mpf_sqrt __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1340
1341#define mpf_sqrt_ui __gmpf_sqrt_ui
1342__GMP_DECLSPEC void mpf_sqrt_ui __GMP_PROTO ((mpf_ptr, unsigned long int));
1343
1344#define mpf_sub __gmpf_sub
1345__GMP_DECLSPEC void mpf_sub __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1346
1347#define mpf_sub_ui __gmpf_sub_ui
1348__GMP_DECLSPEC void mpf_sub_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1349
1350#define mpf_swap __gmpf_swap
1351__GMP_DECLSPEC void mpf_swap __GMP_PROTO ((mpf_ptr, mpf_ptr)) __GMP_NOTHROW;
1352
1353#define mpf_trunc __gmpf_trunc
1354__GMP_DECLSPEC void mpf_trunc __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1355
1356#define mpf_ui_div __gmpf_ui_div
1357__GMP_DECLSPEC void mpf_ui_div __GMP_PROTO ((mpf_ptr, unsigned long int, mpf_srcptr));
1358
1359#define mpf_ui_sub __gmpf_ui_sub
1360__GMP_DECLSPEC void mpf_ui_sub __GMP_PROTO ((mpf_ptr, unsigned long int, mpf_srcptr));
1361
1362#define mpf_urandomb __gmpf_urandomb
1363__GMP_DECLSPEC void mpf_urandomb __GMP_PROTO ((mpf_t, gmp_randstate_t, unsigned long int));
1364
1365
1366/************ Low level positive-integer (i.e. N) routines.  ************/
1367
1368/* This is ugly, but we need to make user calls reach the prefixed function. */
1369
1370#define mpn_add __MPN(add)
1371#if __GMP_INLINE_PROTOTYPES || __GMP_FORCE_mpn_add
1372__GMP_DECLSPEC mp_limb_t mpn_add __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr,mp_size_t));
1373#endif
1374
1375#define mpn_add_1 __MPN(add_1)
1376#if __GMP_INLINE_PROTOTYPES || __GMP_FORCE_mpn_add_1
1377__GMP_DECLSPEC mp_limb_t mpn_add_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)) __GMP_NOTHROW;
1378#endif
1379
1380#define mpn_add_n __MPN(add_n)
1381__GMP_DECLSPEC mp_limb_t mpn_add_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1382
1383#define mpn_addmul_1 __MPN(addmul_1)
1384__GMP_DECLSPEC mp_limb_t mpn_addmul_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1385
1386#define mpn_bdivmod __MPN(bdivmod)
1387__GMP_DECLSPEC mp_limb_t mpn_bdivmod __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, unsigned long int));
1388
1389#define mpn_cmp __MPN(cmp)
1390#if __GMP_INLINE_PROTOTYPES || __GMP_FORCE_mpn_cmp
1391__GMP_DECLSPEC int mpn_cmp __GMP_PROTO ((mp_srcptr, mp_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1392#endif
1393
1394#define mpn_divexact_by3(dst,src,size) \
1395  mpn_divexact_by3c (dst, src, size, (mp_limb_t) 0)
1396
1397#define mpn_divexact_by3c __MPN(divexact_by3c)
1398__GMP_DECLSPEC mp_limb_t mpn_divexact_by3c __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1399
1400#define mpn_divmod_1(qp,np,nsize,dlimb) \
1401  mpn_divrem_1 (qp, (mp_size_t) 0, np, nsize, dlimb)
1402
1403#define mpn_divrem __MPN(divrem)
1404__GMP_DECLSPEC mp_limb_t mpn_divrem __GMP_PROTO ((mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t));
1405
1406#define mpn_divrem_1 __MPN(divrem_1)
1407__GMP_DECLSPEC mp_limb_t mpn_divrem_1 __GMP_PROTO ((mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t));
1408
1409#define mpn_divrem_2 __MPN(divrem_2)
1410__GMP_DECLSPEC mp_limb_t mpn_divrem_2 __GMP_PROTO ((mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr));
1411
1412#define mpn_gcd __MPN(gcd)
1413__GMP_DECLSPEC mp_size_t mpn_gcd __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t));
1414
1415#define mpn_gcd_1 __MPN(gcd_1)
1416__GMP_DECLSPEC mp_limb_t mpn_gcd_1 __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t)) __GMP_ATTRIBUTE_PURE;
1417
1418#define mpn_gcdext __MPN(gcdext)
1419__GMP_DECLSPEC mp_size_t mpn_gcdext __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t *, mp_ptr, mp_size_t, mp_ptr, mp_size_t));
1420
1421#define mpn_get_str __MPN(get_str)
1422__GMP_DECLSPEC size_t mpn_get_str __GMP_PROTO ((unsigned char *, int, mp_ptr, mp_size_t));
1423
1424#define mpn_hamdist __MPN(hamdist)
1425__GMP_DECLSPEC unsigned long int mpn_hamdist __GMP_PROTO ((mp_srcptr, mp_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1426
1427#define mpn_lshift __MPN(lshift)
1428__GMP_DECLSPEC mp_limb_t mpn_lshift __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int));
1429
1430#define mpn_mod_1 __MPN(mod_1)
1431__GMP_DECLSPEC mp_limb_t mpn_mod_1 __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t)) __GMP_ATTRIBUTE_PURE;
1432
1433#define mpn_mul __MPN(mul)
1434__GMP_DECLSPEC mp_limb_t mpn_mul __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t));
1435
1436#define mpn_mul_1 __MPN(mul_1)
1437__GMP_DECLSPEC mp_limb_t mpn_mul_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1438
1439#define mpn_mul_n __MPN(mul_n)
1440__GMP_DECLSPEC void mpn_mul_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1441
1442#define mpn_perfect_square_p __MPN(perfect_square_p)
1443__GMP_DECLSPEC int mpn_perfect_square_p __GMP_PROTO ((mp_srcptr, mp_size_t)) __GMP_ATTRIBUTE_PURE;
1444
1445#define mpn_popcount __MPN(popcount)
1446__GMP_DECLSPEC unsigned long int mpn_popcount __GMP_PROTO ((mp_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1447
1448#define mpn_pow_1 __MPN(pow_1)
1449__GMP_DECLSPEC mp_size_t mpn_pow_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr));
1450
1451/* undocumented now, but retained here for upward compatibility */
1452#define mpn_preinv_mod_1 __MPN(preinv_mod_1)
1453__GMP_DECLSPEC mp_limb_t mpn_preinv_mod_1 __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t)) __GMP_ATTRIBUTE_PURE;
1454
1455#define mpn_random __MPN(random)
1456__GMP_DECLSPEC void mpn_random __GMP_PROTO ((mp_ptr, mp_size_t));
1457
1458#define mpn_random2 __MPN(random2)
1459__GMP_DECLSPEC void mpn_random2 __GMP_PROTO ((mp_ptr, mp_size_t));
1460
1461#define mpn_rshift __MPN(rshift)
1462__GMP_DECLSPEC mp_limb_t mpn_rshift __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int));
1463
1464#define mpn_scan0 __MPN(scan0)
1465__GMP_DECLSPEC unsigned long int mpn_scan0 __GMP_PROTO ((mp_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
1466
1467#define mpn_scan1 __MPN(scan1)
1468__GMP_DECLSPEC unsigned long int mpn_scan1 __GMP_PROTO ((mp_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
1469
1470#define mpn_set_str __MPN(set_str)
1471__GMP_DECLSPEC mp_size_t mpn_set_str __GMP_PROTO ((mp_ptr, __gmp_const unsigned char *, size_t, int));
1472
1473#define mpn_sqrtrem __MPN(sqrtrem)
1474__GMP_DECLSPEC mp_size_t mpn_sqrtrem __GMP_PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_size_t));
1475
1476#define mpn_sub __MPN(sub)
1477#if __GMP_INLINE_PROTOTYPES || __GMP_FORCE_mpn_sub
1478__GMP_DECLSPEC mp_limb_t mpn_sub __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr,mp_size_t));
1479#endif
1480
1481#define mpn_sub_1 __MPN(sub_1)
1482#if __GMP_INLINE_PROTOTYPES || __GMP_FORCE_mpn_sub_1
1483__GMP_DECLSPEC mp_limb_t mpn_sub_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)) __GMP_NOTHROW;
1484#endif
1485
1486#define mpn_sub_n __MPN(sub_n)
1487__GMP_DECLSPEC mp_limb_t mpn_sub_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1488
1489#define mpn_submul_1 __MPN(submul_1)
1490__GMP_DECLSPEC mp_limb_t mpn_submul_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1491
1492#define mpn_tdiv_qr __MPN(tdiv_qr)
1493__GMP_DECLSPEC void mpn_tdiv_qr __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t));
1494
1495
1496/**************** mpz inlines ****************/
1497
1498/* The following are provided as inlines where possible, but always exist as
1499   library functions too, for binary compatibility.
1500
1501   Within gmp itself this inlining generally isn't relied on, since it
1502   doesn't get done for all compilers, whereas if something is worth
1503   inlining then it's worth arranging always.
1504
1505   There are two styles of inlining here.  When the same bit of code is
1506   wanted for the inline as for the library version, then __GMP_FORCE_foo
1507   arranges for that code to be emitted and the __GMP_EXTERN_INLINE
1508   directive suppressed, eg. mpz_fits_uint_p.  When a different bit of code
1509   is wanted for the inline than for the library version, then
1510   __GMP_FORCE_foo arranges the inline to be suppressed, eg. mpz_abs.  */
1511
1512#if defined (__GMP_EXTERN_INLINE) && ! __GMP_FORCE_mpz_abs
1513__GMP_EXTERN_INLINE void
1514mpz_abs (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1515{
1516  if (__gmp_w != __gmp_u)
1517    mpz_set (__gmp_w, __gmp_u);
1518  __gmp_w->_mp_size = __GMP_ABS (__gmp_w->_mp_size);
1519}
1520#endif
1521
1522#if GMP_NAIL_BITS == 0
1523#define __GMPZ_FITS_UTYPE_P(z,maxval)                                   \
1524  mp_size_t  __gmp_n = z->_mp_size;                                     \
1525  mp_ptr  __gmp_p = z->_mp_d;                                           \
1526  return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval));
1527#else
1528#define __GMPZ_FITS_UTYPE_P(z,maxval)                                   \
1529  mp_size_t  __gmp_n = z->_mp_size;                                     \
1530  mp_ptr  __gmp_p = z->_mp_d;                                           \
1531  return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval)        \
1532          || (__gmp_n == 2 && __gmp_p[1] <= ((mp_limb_t) maxval >> GMP_NUMB_BITS)));
1533#endif
1534
1535#if defined (__GMP_EXTERN_INLINE) || __GMP_FORCE_mpz_fits_uint_p
1536#if ! __GMP_FORCE_mpz_fits_uint_p
1537__GMP_EXTERN_INLINE
1538#endif
1539int
1540mpz_fits_uint_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1541{
1542  __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_UINT_MAX);
1543}
1544#endif
1545
1546#if defined (__GMP_EXTERN_INLINE) || __GMP_FORCE_mpz_fits_ulong_p
1547#if ! __GMP_FORCE_mpz_fits_ulong_p
1548__GMP_EXTERN_INLINE
1549#endif
1550int
1551mpz_fits_ulong_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1552{
1553  __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_ULONG_MAX);
1554}
1555#endif
1556
1557#if defined (__GMP_EXTERN_INLINE) || __GMP_FORCE_mpz_fits_ushort_p
1558#if ! __GMP_FORCE_mpz_fits_ushort_p
1559__GMP_EXTERN_INLINE
1560#endif
1561int
1562mpz_fits_ushort_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1563{
1564  __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_USHRT_MAX);
1565}
1566#endif
1567
1568#if defined (__GMP_EXTERN_INLINE) || __GMP_FORCE_mpz_get_ui
1569#if ! __GMP_FORCE_mpz_get_ui
1570__GMP_EXTERN_INLINE
1571#endif
1572unsigned long
1573mpz_get_ui (mpz_srcptr __gmp_z) __GMP_NOTHROW
1574{
1575  mp_ptr __gmp_p = __gmp_z->_mp_d;
1576  mp_size_t __gmp_n = __gmp_z->_mp_size;
1577  mp_limb_t __gmp_l = __gmp_p[0];
1578  if (__GMP_ULONG_MAX <= GMP_NUMB_MASK)
1579    return __gmp_l & (-(mp_limb_t) (__gmp_n != 0));
1580#if GMP_NAIL_BITS != 0  /* redundant #if, shuts up compiler warnings */
1581  else                  /* happens for nails, but not if LONG_LONG_LIMB */
1582    {                   /* assume two limbs are enough to fill an ulong */
1583      __gmp_n = __GMP_ABS (__gmp_n);
1584      if (__gmp_n <= 1)
1585        return __gmp_l & (-(mp_limb_t) (__gmp_n != 0));
1586      else
1587        return __gmp_l + (__gmp_p[1] << GMP_NUMB_BITS);
1588    }
1589#endif
1590}
1591#endif
1592
1593#if defined (__GMP_EXTERN_INLINE) || __GMP_FORCE_mpz_getlimbn
1594#if ! __GMP_FORCE_mpz_getlimbn
1595__GMP_EXTERN_INLINE
1596#endif
1597mp_limb_t
1598mpz_getlimbn (mpz_srcptr __gmp_z, mp_size_t __gmp_n) __GMP_NOTHROW
1599{
1600  if (__GMP_ABS (__gmp_z->_mp_size) <= __gmp_n || __gmp_n < 0)
1601    return 0;
1602  else
1603    return __gmp_z->_mp_d[__gmp_n];
1604}
1605#endif
1606
1607#if defined (__GMP_EXTERN_INLINE) && ! __GMP_FORCE_mpz_neg
1608__GMP_EXTERN_INLINE void
1609mpz_neg (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1610{
1611  if (__gmp_w != __gmp_u)
1612    mpz_set (__gmp_w, __gmp_u);
1613  __gmp_w->_mp_size = - __gmp_w->_mp_size;
1614}
1615#endif
1616
1617#if defined (__GMP_EXTERN_INLINE) || __GMP_FORCE_mpz_perfect_square_p
1618#if ! __GMP_FORCE_mpz_perfect_square_p
1619__GMP_EXTERN_INLINE
1620#endif
1621int
1622mpz_perfect_square_p (mpz_srcptr __gmp_a)
1623{
1624  mp_size_t __gmp_asize = __gmp_a->_mp_size;
1625  if (__gmp_asize <= 0)
1626    return (__gmp_asize == 0);  /* zero is a square, negatives are not */
1627  else
1628    return mpn_perfect_square_p (__gmp_a->_mp_d, __gmp_asize);
1629}
1630#endif
1631
1632#if defined (__GMP_EXTERN_INLINE) || __GMP_FORCE_mpz_popcount
1633#if ! __GMP_FORCE_mpz_popcount
1634__GMP_EXTERN_INLINE
1635#endif
1636unsigned long
1637mpz_popcount (mpz_srcptr __gmp_u) __GMP_NOTHROW
1638{
1639  mp_size_t __gmp_usize = __gmp_u->_mp_size;
1640
1641  if (__gmp_usize <= 0)
1642    return (__gmp_usize < 0 ? __GMP_ULONG_MAX : 0);
1643  else
1644    return mpn_popcount (__gmp_u->_mp_d, __gmp_usize);
1645}
1646#endif
1647
1648#if defined (__GMP_EXTERN_INLINE) || __GMP_FORCE_mpz_set_q
1649#if ! __GMP_FORCE_mpz_set_q
1650__GMP_EXTERN_INLINE
1651#endif
1652void
1653mpz_set_q (mpz_ptr __gmp_w, mpq_srcptr __gmp_u)
1654{
1655  mpz_tdiv_q (__gmp_w, mpq_numref (__gmp_u), mpq_denref (__gmp_u));
1656}
1657#endif
1658
1659#if defined (__GMP_EXTERN_INLINE) || __GMP_FORCE_mpz_size
1660#if ! __GMP_FORCE_mpz_size
1661__GMP_EXTERN_INLINE
1662#endif
1663size_t
1664mpz_size (mpz_srcptr __gmp_z) __GMP_NOTHROW
1665{
1666  return __GMP_ABS (__gmp_z->_mp_size);
1667}
1668#endif
1669
1670
1671/**************** mpq inlines ****************/
1672
1673#if defined (__GMP_EXTERN_INLINE) && ! __GMP_FORCE_mpq_abs
1674__GMP_EXTERN_INLINE void
1675mpq_abs (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1676{
1677  if (__gmp_w != __gmp_u)
1678    mpq_set (__gmp_w, __gmp_u);
1679  __gmp_w->_mp_num._mp_size = __GMP_ABS (__gmp_w->_mp_num._mp_size);
1680}
1681#endif
1682
1683#if defined (__GMP_EXTERN_INLINE) && ! __GMP_FORCE_mpq_neg
1684__GMP_EXTERN_INLINE void
1685mpq_neg (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1686{
1687  if (__gmp_w != __gmp_u)
1688    mpq_set (__gmp_w, __gmp_u);
1689  __gmp_w->_mp_num._mp_size = - __gmp_w->_mp_num._mp_size;
1690}
1691#endif
1692
1693
1694/**************** mpn inlines ****************/
1695
1696/* The comments with __GMPN_ADD_1 below apply here too.
1697
1698   The test for FUNCTION returning 0 should predict well.  If it's assumed
1699   {yp,ysize} will usually have a random number of bits then the high limb
1700   won't be full and a carry out will occur a good deal less than 50% of the
1701   time.
1702
1703   ysize==0 isn't a documented feature, but is used internally in a few
1704   places.
1705
1706   Producing cout last stops it using up a register during the main part of
1707   the calculation, though gcc (as of 3.0) on an "if (mpn_add (...))"
1708   doesn't seem able to move the true and false legs of the conditional up
1709   to the two places cout is generated.  */
1710
1711#define __GMPN_AORS(cout, wp, xp, xsize, yp, ysize, FUNCTION, TEST)     \
1712  do {                                                                  \
1713    mp_size_t  __gmp_i;                                                 \
1714    mp_limb_t  __gmp_x;                                                 \
1715                                                                        \
1716    /* ASSERT ((ysize) >= 0); */                                        \
1717    /* ASSERT ((xsize) >= (ysize)); */                                  \
1718    /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, xp, xsize)); */      \
1719    /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, yp, ysize)); */      \
1720                                                                        \
1721    __gmp_i = (ysize);                                                  \
1722    if (__gmp_i != 0)                                                   \
1723      {                                                                 \
1724        if (FUNCTION (wp, xp, yp, __gmp_i))                             \
1725          {                                                             \
1726            do                                                          \
1727              {                                                         \
1728                if (__gmp_i >= (xsize))                                 \
1729                  {                                                     \
1730                    (cout) = 1;                                         \
1731                    goto __gmp_done;                                    \
1732                  }                                                     \
1733                __gmp_x = (xp)[__gmp_i];                                \
1734              }                                                         \
1735            while (TEST);                                               \
1736          }                                                             \
1737      }                                                                 \
1738    if ((wp) != (xp))                                                   \
1739      __GMPN_COPY_REST (wp, xp, xsize, __gmp_i);                        \
1740    (cout) = 0;                                                         \
1741  __gmp_done:                                                           \
1742    ;                                                                   \
1743  } while (0)
1744
1745#define __GMPN_ADD(cout, wp, xp, xsize, yp, ysize)              \
1746  __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_add_n,       \
1747               (((wp)[__gmp_i++] = (__gmp_x + 1) & GMP_NUMB_MASK) == 0))
1748#define __GMPN_SUB(cout, wp, xp, xsize, yp, ysize)              \
1749  __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_sub_n,       \
1750               (((wp)[__gmp_i++] = (__gmp_x - 1) & GMP_NUMB_MASK), __gmp_x == 0))
1751
1752
1753/* The use of __gmp_i indexing is designed to ensure a compile time src==dst
1754   remains nice and clear to the compiler, so that __GMPN_COPY_REST can
1755   disappear, and the load/add/store gets a chance to become a
1756   read-modify-write on CISC CPUs.
1757
1758   Alternatives:
1759
1760   Using a pair of pointers instead of indexing would be possible, but gcc
1761   isn't able to recognise compile-time src==dst in that case, even when the
1762   pointers are incremented more or less together.  Other compilers would
1763   very likely have similar difficulty.
1764
1765   gcc could use "if (__builtin_constant_p(src==dst) && src==dst)" or
1766   similar to detect a compile-time src==dst.  This works nicely on gcc
1767   2.95.x, it's not good on gcc 3.0 where __builtin_constant_p(p==p) seems
1768   to be always false, for a pointer p.  But the current code form seems
1769   good enough for src==dst anyway.
1770
1771   gcc on x86 as usual doesn't give particularly good flags handling for the
1772   carry/borrow detection.  It's tempting to want some multi instruction asm
1773   blocks to help it, and this was tried, but in truth there's only a few
1774   instructions to save and any gain is all too easily lost by register
1775   juggling setting up for the asm.  */
1776
1777#if GMP_NAIL_BITS == 0
1778#define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)             \
1779  do {                                                          \
1780    mp_size_t  __gmp_i;                                         \
1781    mp_limb_t  __gmp_x, __gmp_r;                                \
1782                                                                \
1783    /* ASSERT ((n) >= 1); */                                    \
1784    /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */        \
1785                                                                \
1786    __gmp_x = (src)[0];                                         \
1787    __gmp_r = __gmp_x OP (v);                                   \
1788    (dst)[0] = __gmp_r;                                         \
1789    if (CB (__gmp_r, __gmp_x, (v)))                             \
1790      {                                                         \
1791        (cout) = 1;                                             \
1792        for (__gmp_i = 1; __gmp_i < (n);)                       \
1793          {                                                     \
1794            __gmp_x = (src)[__gmp_i];                           \
1795            __gmp_r = __gmp_x OP 1;                             \
1796            (dst)[__gmp_i] = __gmp_r;                           \
1797            ++__gmp_i;                                          \
1798            if (!CB (__gmp_r, __gmp_x, 1))                      \
1799              {                                                 \
1800                if ((src) != (dst))                             \
1801                  __GMPN_COPY_REST (dst, src, n, __gmp_i);      \
1802                (cout) = 0;                                     \
1803                break;                                          \
1804              }                                                 \
1805          }                                                     \
1806      }                                                         \
1807    else                                                        \
1808      {                                                         \
1809        if ((src) != (dst))                                     \
1810          __GMPN_COPY_REST (dst, src, n, 1);                    \
1811        (cout) = 0;                                             \
1812      }                                                         \
1813  } while (0)
1814#endif
1815
1816#if GMP_NAIL_BITS >= 1
1817#define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)             \
1818  do {                                                          \
1819    mp_size_t  __gmp_i;                                         \
1820    mp_limb_t  __gmp_x, __gmp_r;                                \
1821                                                                \
1822    /* ASSERT ((n) >= 1); */                                    \
1823    /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */        \
1824                                                                \
1825    __gmp_x = (src)[0];                                         \
1826    __gmp_r = __gmp_x OP (v);                                   \
1827    (dst)[0] = __gmp_r & GMP_NUMB_MASK;                         \
1828    if (__gmp_r >> GMP_NUMB_BITS != 0)                          \
1829      {                                                         \
1830        (cout) = 1;                                             \
1831        for (__gmp_i = 1; __gmp_i < (n);)                       \
1832          {                                                     \
1833            __gmp_x = (src)[__gmp_i];                           \
1834            __gmp_r = __gmp_x OP 1;                             \
1835            (dst)[__gmp_i] = __gmp_r & GMP_NUMB_MASK;           \
1836            ++__gmp_i;                                          \
1837            if (__gmp_r >> GMP_NUMB_BITS == 0)                  \
1838              {                                                 \
1839                if ((src) != (dst))                             \
1840                  __GMPN_COPY_REST (dst, src, n, __gmp_i);      \
1841                (cout) = 0;                                     \
1842                break;                                          \
1843              }                                                 \
1844          }                                                     \
1845      }                                                         \
1846    else                                                        \
1847      {                                                         \
1848        if ((src) != (dst))                                     \
1849          __GMPN_COPY_REST (dst, src, n, 1);                    \
1850        (cout) = 0;                                             \
1851      }                                                         \
1852  } while (0)
1853#endif
1854
1855#define __GMPN_ADDCB(r,x,y) ((r) < (y))
1856#define __GMPN_SUBCB(r,x,y) ((x) < (y))
1857
1858#define __GMPN_ADD_1(cout, dst, src, n, v)           \
1859  __GMPN_AORS_1(cout, dst, src, n, v, +, __GMPN_ADDCB)
1860#define __GMPN_SUB_1(cout, dst, src, n, v)           \
1861  __GMPN_AORS_1(cout, dst, src, n, v, -, __GMPN_SUBCB)
1862
1863
1864/* Compare {xp,size} and {yp,size}, setting "result" to positive, zero or
1865   negative.  size==0 is allowed.  On random data usually only one limb will
1866   need to be examined to get a result, so it's worth having it inline.  */
1867#define __GMPN_CMP(result, xp, yp, size)                                \
1868  do {                                                                  \
1869    mp_size_t  __gmp_i;                                                 \
1870    mp_limb_t  __gmp_x, __gmp_y;                                        \
1871                                                                        \
1872    /* ASSERT ((size) >= 0); */                                         \
1873                                                                        \
1874    (result) = 0;                                                       \
1875    __gmp_i = (size);                                                   \
1876    while (--__gmp_i >= 0)                                              \
1877      {                                                                 \
1878        __gmp_x = (xp)[__gmp_i];                                        \
1879        __gmp_y = (yp)[__gmp_i];                                        \
1880        if (__gmp_x != __gmp_y)                                         \
1881          {                                                             \
1882            /* Cannot use __gmp_x - __gmp_y, may overflow an "int" */   \
1883            (result) = (__gmp_x > __gmp_y ? 1 : -1);                    \
1884            break;                                                      \
1885          }                                                             \
1886      }                                                                 \
1887  } while (0)
1888
1889
1890/* For power and powerpc we want an inline ldu/stu/bdnz loop for copying.
1891   On ppc630 for instance this is optimal since it can sustain only 1 store
1892   per cycle.
1893
1894   gcc 2.95.x (powerpc64 -maix64, or powerpc32) doesn't recognise the "for"
1895   loop in the generic code below can become ldu/stu/bdnz.  The do/while
1896   here helps it get to that.
1897
1898   In gcc -mpowerpc64 mode, without -maix64, __size seems to want to be an
1899   mp_limb_t to get into the ctr register, and even then the loop is a
1900   curious ldu/stu/bdz/b.  But let's not worry about that unless there's a
1901   system using this.  An asm block could force what we want if necessary.
1902
1903   xlc 3.1 already generates ldu/stu/bdnz from the generic C, and does so
1904   from this loop too.  */
1905
1906#if __GMP_HAVE_HOST_CPU_FAMILY_power || __GMP_HAVE_HOST_CPU_FAMILY_powerpc
1907#define __GMPN_COPY_INCR(dst, src, size)                        \
1908  do {                                                          \
1909    /* ASSERT ((size) >= 0); */                                 \
1910    /* ASSERT (MPN_SAME_OR_INCR_P (dst, src, size)); */         \
1911    if ((size) != 0)                                            \
1912      {                                                         \
1913        mp_ptr     __gmp_copy_incr_dst = (dst) - 1;             \
1914        mp_srcptr  __gmp_copy_incr_src = (src) - 1;             \
1915        mp_size_t  __gmp_copy_incr_size = (size);               \
1916        do                                                      \
1917          *++__gmp_copy_incr_dst = *++__gmp_copy_incr_src;      \
1918        while (--__gmp_copy_incr_size != 0);                    \
1919      }                                                         \
1920  } while (0)
1921#define __GMPN_COPY(dst, src, size)                             \
1922  do {                                                          \
1923    /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */     \
1924    __GMPN_COPY_INCR (dst, src, size);                          \
1925  } while (0)
1926#endif
1927
1928#if defined (__GMPN_COPY) && ! defined (__GMPN_COPY_REST)
1929#define __GMPN_COPY_REST(dst, src, size, start)                 \
1930  do {                                                          \
1931    /* ASSERT ((start) >= 0); */                                \
1932    /* ASSERT ((start) <= (size)); */                           \
1933    __GMPN_COPY ((dst)+(start), (src)+(start), (size)-(start)); \
1934  } while (0)
1935#endif
1936
1937/* Copy {src,size} to {dst,size}, starting at "start".  This is designed to
1938   keep the indexing dst[j] and src[j] nice and simple for __GMPN_ADD_1,
1939   __GMPN_ADD, etc.  */
1940#if ! defined (__GMPN_COPY_REST)
1941#define __GMPN_COPY_REST(dst, src, size, start)                 \
1942  do {                                                          \
1943    mp_size_t __gmp_j;                                          \
1944    /* ASSERT ((size) >= 0); */                                 \
1945    /* ASSERT ((start) >= 0); */                                \
1946    /* ASSERT ((start) <= (size)); */                           \
1947    /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */     \
1948    for (__gmp_j = (start); __gmp_j < (size); __gmp_j++)        \
1949      (dst)[__gmp_j] = (src)[__gmp_j];                          \
1950  } while (0)
1951#endif
1952
1953/* Enhancement: Use some of the smarter code from gmp-impl.h.  Maybe use
1954   mpn_copyi if there's a native version, and if we don't mind demanding
1955   binary compatibility for it (on targets which use it).  */
1956
1957#if ! defined (__GMPN_COPY)
1958#define __GMPN_COPY(dst, src, size)   __GMPN_COPY_REST (dst, src, size, 0)
1959#endif
1960
1961
1962#if defined (__GMP_EXTERN_INLINE) || __GMP_FORCE_mpn_add
1963#if ! __GMP_FORCE_mpn_add
1964__GMP_EXTERN_INLINE
1965#endif
1966mp_limb_t
1967mpn_add (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
1968{
1969  mp_limb_t  __gmp_c;
1970  __GMPN_ADD (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
1971  return __gmp_c;
1972}
1973#endif
1974
1975#if defined (__GMP_EXTERN_INLINE) || __GMP_FORCE_mpn_add_1
1976#if ! __GMP_FORCE_mpn_add_1
1977__GMP_EXTERN_INLINE
1978#endif
1979mp_limb_t
1980mpn_add_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
1981{
1982  mp_limb_t  __gmp_c;
1983  __GMPN_ADD_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
1984  return __gmp_c;
1985}
1986#endif
1987
1988#if defined (__GMP_EXTERN_INLINE) || __GMP_FORCE_mpn_cmp
1989#if ! __GMP_FORCE_mpn_cmp
1990__GMP_EXTERN_INLINE
1991#endif
1992int
1993mpn_cmp (mp_srcptr __gmp_xp, mp_srcptr __gmp_yp, mp_size_t __gmp_size) __GMP_NOTHROW
1994{
1995  int __gmp_result;
1996  __GMPN_CMP (__gmp_result, __gmp_xp, __gmp_yp, __gmp_size);
1997  return __gmp_result;
1998}
1999#endif
2000
2001#if defined (__GMP_EXTERN_INLINE) || __GMP_FORCE_mpn_sub
2002#if ! __GMP_FORCE_mpn_sub
2003__GMP_EXTERN_INLINE
2004#endif
2005mp_limb_t
2006mpn_sub (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2007{
2008  mp_limb_t  __gmp_c;
2009  __GMPN_SUB (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2010  return __gmp_c;
2011}
2012#endif
2013
2014#if defined (__GMP_EXTERN_INLINE) || __GMP_FORCE_mpn_sub_1
2015#if ! __GMP_FORCE_mpn_sub_1
2016__GMP_EXTERN_INLINE
2017#endif
2018mp_limb_t
2019mpn_sub_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2020{
2021  mp_limb_t  __gmp_c;
2022  __GMPN_SUB_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2023  return __gmp_c;
2024}
2025#endif
2026
2027#if defined (__cplusplus)
2028}
2029#endif
2030
2031
2032/* Allow faster testing for negative, zero, and positive.  */
2033#define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0)
2034#define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0)
2035#define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0)
2036
2037/* When using GCC, optimize certain common comparisons.  */
2038#if defined (__GNUC__)
2039#define mpz_cmp_ui(Z,UI) \
2040  (__builtin_constant_p (UI) && (UI) == 0                               \
2041   ? mpz_sgn (Z) : _mpz_cmp_ui (Z,UI))
2042#define mpz_cmp_si(Z,SI) \
2043  (__builtin_constant_p (SI) && (SI) == 0 ? mpz_sgn (Z)                 \
2044   : __builtin_constant_p (SI) && (SI) > 0                              \
2045    ? _mpz_cmp_ui (Z, (unsigned long int) SI)                           \
2046   : _mpz_cmp_si (Z,SI))
2047#define mpq_cmp_ui(Q,NUI,DUI) \
2048  (__builtin_constant_p (NUI) && (NUI) == 0                             \
2049   ? mpq_sgn (Q) : _mpq_cmp_ui (Q,NUI,DUI))
2050#define mpq_cmp_si(q,n,d)                       \
2051  (__builtin_constant_p ((n) >= 0) && (n) >= 0  \
2052   ? mpq_cmp_ui (q, (unsigned long) (n), d)     \
2053   : _mpq_cmp_si (q, n, d))
2054#else
2055#define mpz_cmp_ui(Z,UI) _mpz_cmp_ui (Z,UI)
2056#define mpz_cmp_si(Z,UI) _mpz_cmp_si (Z,UI)
2057#define mpq_cmp_ui(Q,NUI,DUI) _mpq_cmp_ui (Q,NUI,DUI)
2058#define mpq_cmp_si(q,n,d)  _mpq_cmp_si(q,n,d)
2059#endif
2060
2061
2062/* Using "&" rather than "&&" means these can come out branch-free.  Every
2063   mpz_t has at least one limb allocated, so fetching the low limb is always
2064   allowed.  */
2065#define mpz_odd_p(z)   ((int) ((z)->_mp_size != 0) & (int) (z)->_mp_d[0])
2066#define mpz_even_p(z)  (! mpz_odd_p (z))
2067
2068
2069/**************** C++ routines ****************/
2070
2071#ifdef __cplusplus
2072__GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpz_srcptr);
2073__GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpq_srcptr);
2074__GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpf_srcptr);
2075__GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpz_ptr);
2076__GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpq_ptr);
2077__GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpf_ptr);
2078#endif
2079
2080
2081/* Compatibility with GMP 2 and earlier. */
2082#define mpn_divmod(qp,np,nsize,dp,dsize) \
2083  mpn_divrem (qp, (mp_size_t) 0, np, nsize, dp, dsize)
2084
2085/* Compatibility with GMP 1.  */
2086#define mpz_mdiv        mpz_fdiv_q
2087#define mpz_mdivmod     mpz_fdiv_qr
2088#define mpz_mmod        mpz_fdiv_r
2089#define mpz_mdiv_ui     mpz_fdiv_q_ui
2090#define mpz_mdivmod_ui(q,r,n,d) \
2091  ((r == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d))
2092#define mpz_mmod_ui(r,n,d) \
2093  ((r == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d))
2094
2095/* Useful synonyms, but not quite compatible with GMP 1.  */
2096#define mpz_div         mpz_fdiv_q
2097#define mpz_divmod      mpz_fdiv_qr
2098#define mpz_div_ui      mpz_fdiv_q_ui
2099#define mpz_divmod_ui   mpz_fdiv_qr_ui
2100#define mpz_mod_ui      mpz_fdiv_r_ui
2101#define mpz_div_2exp    mpz_fdiv_q_2exp
2102#define mpz_mod_2exp    mpz_fdiv_r_2exp
2103
2104enum
2105{
2106  GMP_ERROR_NONE = 0,
2107  GMP_ERROR_UNSUPPORTED_ARGUMENT = 1,
2108  GMP_ERROR_DIVISION_BY_ZERO = 2,
2109  GMP_ERROR_SQRT_OF_NEGATIVE = 4,
2110  GMP_ERROR_INVALID_ARGUMENT = 8,
2111  GMP_ERROR_ALLOCATE = 16,
2112  GMP_ERROR_BAD_STRING = 32,
2113  GMP_ERROR_UNUSED_ERROR
2114};
2115
2116/* Major version number is the value of __GNU_MP__ too, above and in mp.h. */
2117#define __GNU_MP_VERSION 4
2118#define __GNU_MP_VERSION_MINOR 1
2119#define __GNU_MP_VERSION_PATCHLEVEL 1
2120
2121#define __GMP_H__
2122#endif /* __GMP_H__ */
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