1	/* Definitions for GNU multiple precision functions. -*- mode: c -*-
2
3	Copyright 1991, 1993-1997, 1999-2016, 2020 Free Software Foundation, Inc.
4
5	This file is part of the GNU MP Library.
6
7	The GNU MP Library is free software; you can redistribute it and/or modify
8	it under the terms of either:
9
10	* the GNU Lesser General Public License as published by the Free
11	Software Foundation; either version 3 of the License, or (at your
12	option) any later version.
13
14	or
15
16	* the GNU General Public License as published by the Free Software
17	Foundation; either version 2 of the License, or (at your option) any
18	later version.
19
20	or both in parallel, as here.
21
22	The GNU MP Library is distributed in the hope that it will be useful, but
23	WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
24	or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
25	for more details.
26
27	You should have received copies of the GNU General Public License and the
28	GNU Lesser General Public License along with the GNU MP Library. If not,
29	see https://www.gnu.org/licenses/. */
30
31	#ifndef __GMP_H__
32
33	#if defined (__cplusplus)
34	#include <iosfwd> /* for std::istream, std::ostream, std::string */
35	#include <cstdio>
36	#endif
37
38
39	/* Instantiated by configure. */
40	#if ! defined (__GMP_WITHIN_CONFIGURE)
41	#define __GMP_HAVE_HOST_CPU_FAMILY_power 0
42	#define __GMP_HAVE_HOST_CPU_FAMILY_powerpc 0
43	#define GMP_LIMB_BITS 64
44	#define GMP_NAIL_BITS 0
45	#endif
46	#define GMP_NUMB_BITS (GMP_LIMB_BITS - GMP_NAIL_BITS)
47	#define GMP_NUMB_MASK ((~ __GMP_CAST (mp_limb_t, 0)) >> GMP_NAIL_BITS)
48	#define GMP_NUMB_MAX GMP_NUMB_MASK
49	#define GMP_NAIL_MASK (~ GMP_NUMB_MASK)
50
51
52	#ifndef __GNU_MP__
53	#define __GNU_MP__ 6
54
55	#include <stddef.h> /* for size_t */
56	#include <limits.h>
57
58	/* Instantiated by configure. */
59	#if ! defined (__GMP_WITHIN_CONFIGURE)
60	/* #undef _LONG_LONG_LIMB */
61	#define __GMP_LIBGMP_DLL 0
62	#endif
63
64
65	/* __GMP_DECLSPEC supports Windows DLL versions of libgmp, and is empty in
66	all other circumstances.
67
68	When compiling objects for libgmp, __GMP_DECLSPEC is an export directive,
69	or when compiling for an application it's an import directive. The two
70	cases are differentiated by __GMP_WITHIN_GMP defined by the GMP Makefiles
71	(and not defined from an application).
72
73	__GMP_DECLSPEC_XX is similarly used for libgmpxx. __GMP_WITHIN_GMPXX
74	indicates when building libgmpxx, and in that case libgmpxx functions are
75	exports, but libgmp functions which might get called are imports.
76
77	Libtool DLL_EXPORT define is not used.
78
79	There's no attempt to support GMP built both static and DLL. Doing so
80	would mean applications would have to tell us which of the two is going
81	to be used when linking, and that seems very tedious and error prone if
82	using GMP by hand, and equally tedious from a package since autoconf and
83	automake don't give much help.
84
85	__GMP_DECLSPEC is required on all documented global functions and
86	variables, the various internals in gmp-impl.h etc can be left unadorned.
87	But internals used by the test programs or speed measuring programs
88	should have __GMP_DECLSPEC, and certainly constants or variables must
89	have it or the wrong address will be resolved.
90
91	In gcc __declspec can go at either the start or end of a prototype.
92
93	In Microsoft C __declspec must go at the start, or after the type like
94	void __declspec(...) *foo()". There's no __dllexport or anything to
95	guard against someone foolish #defining dllexport. _export used to be
96	available, but no longer.
97
98	In Borland C _export still exists, but needs to go after the type, like
99	"void _export foo();". Would have to change the __GMP_DECLSPEC syntax to
100	make use of that. Probably more trouble than it's worth. */
101
102	#if defined (__GNUC__)
103	#define __GMP_DECLSPEC_EXPORT __declspec(__dllexport__)
104	#define __GMP_DECLSPEC_IMPORT __declspec(__dllimport__)
105	#endif
106	#if defined (_MSC_VER) || defined (__BORLANDC__)
107	#define __GMP_DECLSPEC_EXPORT __declspec(dllexport)
108	#define __GMP_DECLSPEC_IMPORT __declspec(dllimport)
109	#endif
110	#ifdef __WATCOMC__
111	#define __GMP_DECLSPEC_EXPORT __export
112	#define __GMP_DECLSPEC_IMPORT __import
113	#endif
114	#ifdef __IBMC__
115	#define __GMP_DECLSPEC_EXPORT _Export
116	#define __GMP_DECLSPEC_IMPORT _Import
117	#endif
118
119	#if __GMP_LIBGMP_DLL
120	#ifdef __GMP_WITHIN_GMP
121	/* compiling to go into a DLL libgmp */
122	#define __GMP_DECLSPEC __GMP_DECLSPEC_EXPORT
123	#else
124	/* compiling to go into an application which will link to a DLL libgmp */
125	#define __GMP_DECLSPEC __GMP_DECLSPEC_IMPORT
126	#endif
127	#else
128	/* all other cases */
129	#define __GMP_DECLSPEC
130	#endif
131
132
133	#ifdef __GMP_SHORT_LIMB
134	typedef unsigned int mp_limb_t;
135	typedef int mp_limb_signed_t;
136	#else
137	#ifdef _LONG_LONG_LIMB
138	typedef unsigned long long int mp_limb_t;
139	typedef long long int mp_limb_signed_t;
140	#else
141	typedef unsigned long int mp_limb_t;
142	typedef long int mp_limb_signed_t;
143	#endif
144	#endif
145	typedef unsigned long int mp_bitcnt_t;
146
147	/* For reference, note that the name __mpz_struct gets into C++ mangled
148	function names, which means although the "__" suggests an internal, we
149	must leave this name for binary compatibility. */
150	typedef struct
151	{
152	int _mp_alloc; /* Number of *limbs* allocated and pointed
153	to by the _mp_d field. */
154	int _mp_size; /* abs(_mp_size) is the number of limbs the
155	last field points to. If _mp_size is
156	negative this is a negative number. */
157	mp_limb_t *_mp_d; /* Pointer to the limbs. */
158	} __mpz_struct;
159
160	#endif /* __GNU_MP__ */
161
162
163	typedef __mpz_struct MP_INT; /* gmp 1 source compatibility */
164	typedef __mpz_struct mpz_t[1];
165
166	typedef mp_limb_t * mp_ptr;
167	typedef const mp_limb_t * mp_srcptr;
168	#if defined (_CRAY) && ! defined (_CRAYMPP)
169	/* plain `int' is much faster (48 bits) */
170	#define __GMP_MP_SIZE_T_INT 1
171	typedef int mp_size_t;
172	typedef int mp_exp_t;
173	#else
174	#define __GMP_MP_SIZE_T_INT 0
175	typedef long int mp_size_t;
176	typedef long int mp_exp_t;
177	#endif
178
179	typedef struct
180	{
181	__mpz_struct _mp_num;
182	__mpz_struct _mp_den;
183	} __mpq_struct;
184
185	typedef __mpq_struct MP_RAT; /* gmp 1 source compatibility */
186	typedef __mpq_struct mpq_t[1];
187
188	typedef struct
189	{
190	int _mp_prec; /* Max precision, in number of `mp_limb_t's.
191	Set by mpf_init and modified by
192	mpf_set_prec. The area pointed to by the
193	_mp_d field contains `prec' + 1 limbs. */
194	int _mp_size; /* abs(_mp_size) is the number of limbs the
195	last field points to. If _mp_size is
196	negative this is a negative number. */
197	mp_exp_t _mp_exp; /* Exponent, in the base of `mp_limb_t'. */
198	mp_limb_t *_mp_d; /* Pointer to the limbs. */
199	} __mpf_struct;
200
201	/* typedef __mpf_struct MP_FLOAT; */
202	typedef __mpf_struct mpf_t[1];
203
204	/* Available random number generation algorithms. */
205	typedef enum
206	{
207	GMP_RAND_ALG_DEFAULT = 0,
208	GMP_RAND_ALG_LC = GMP_RAND_ALG_DEFAULT /* Linear congruential. */
209	} gmp_randalg_t;
210
211	/* Random state struct. */
212	typedef struct
213	{
214	mpz_t _mp_seed; /* _mp_d member points to state of the generator. */
215	gmp_randalg_t _mp_alg; /* Currently unused. */
216	union {
217	void *_mp_lc; /* Pointer to function pointers structure. */
218	} _mp_algdata;
219	} __gmp_randstate_struct;
220	typedef __gmp_randstate_struct gmp_randstate_t[1];
221
222	/* Types for function declarations in gmp files. */
223	/* ??? Should not pollute user name space with these ??? */
224	typedef const __mpz_struct *mpz_srcptr;
225	typedef __mpz_struct *mpz_ptr;
226	typedef const __mpf_struct *mpf_srcptr;
227	typedef __mpf_struct *mpf_ptr;
228	typedef const __mpq_struct *mpq_srcptr;
229	typedef __mpq_struct *mpq_ptr;
230
231
232	#if __GMP_LIBGMP_DLL
233	#ifdef __GMP_WITHIN_GMPXX
234	/* compiling to go into a DLL libgmpxx */
235	#define __GMP_DECLSPEC_XX __GMP_DECLSPEC_EXPORT
236	#else
237	/* compiling to go into a application which will link to a DLL libgmpxx */
238	#define __GMP_DECLSPEC_XX __GMP_DECLSPEC_IMPORT
239	#endif
240	#else
241	/* all other cases */
242	#define __GMP_DECLSPEC_XX
243	#endif
244
245
246	#ifndef __MPN
247	#define __MPN(x) __gmpn_##x
248	#endif
249
250	/* For reference, "defined(EOF)" cannot be used here. In g++ 2.95.4,
251	<iostream> defines EOF but not FILE. */
252	#if defined (FILE) \
253	|| defined (H_STDIO) \
254	|| defined (_H_STDIO) /* AIX */ \
255	|| defined (_STDIO_H) /* glibc, Sun, SCO */ \
256	|| defined (_STDIO_H_) /* BSD, OSF */ \
257	|| defined (__STDIO_H) /* Borland */ \
258	|| defined (__STDIO_H__) /* IRIX */ \
259	|| defined (_STDIO_INCLUDED) /* HPUX */ \
260	|| defined (__dj_include_stdio_h_) /* DJGPP */ \
261	|| defined (_FILE_DEFINED) /* Microsoft */ \
262	|| defined (__STDIO__) /* Apple MPW MrC */ \
263	|| defined (_MSL_STDIO_H) /* Metrowerks */ \
264	|| defined (_STDIO_H_INCLUDED) /* QNX4 */ \
265	|| defined (_ISO_STDIO_ISO_H) /* Sun C++ */ \
266	|| defined (__STDIO_LOADED) /* VMS */ \
267	|| defined (__DEFINED_FILE) /* musl */
268	#define _GMP_H_HAVE_FILE 1
269	#endif
270
271	/* In ISO C, if a prototype involving "struct obstack *" is given without
272	that structure defined, then the struct is scoped down to just the
273	prototype, causing a conflict if it's subsequently defined for real. So
274	only give prototypes if we've got obstack.h. */
275	#if defined (_OBSTACK_H) /* glibc <obstack.h> */
276	#define _GMP_H_HAVE_OBSTACK 1
277	#endif
278
279	/* The prototypes for gmp_vprintf etc are provided only if va_list is defined,
280	via an application having included <stdarg.h>. Usually va_list is a typedef
281	so can't be tested directly, but C99 specifies that va_start is a macro.
282
283	<stdio.h> will define some sort of va_list for vprintf and vfprintf, but
284	let's not bother trying to use that since it's not standard and since
285	application uses for gmp_vprintf etc will almost certainly require the
286	whole <stdarg.h> anyway. */
287
288	#ifdef va_start
289	#define _GMP_H_HAVE_VA_LIST 1
290	#endif
291
292	/* Test for gcc >= maj.min, as per __GNUC_PREREQ in glibc */
293	#if defined (__GNUC__) && defined (__GNUC_MINOR__)
294	#define __GMP_GNUC_PREREQ(maj, min) \
295	((__GNUC__ << 16) + __GNUC_MINOR__ >= ((maj) << 16) + (min))
296	#else
297	#define __GMP_GNUC_PREREQ(maj, min) 0
298	#endif
299
300	/* "pure" is in gcc 2.96 and up, see "(gcc)Function Attributes". Basically
301	it means a function does nothing but examine its arguments and memory
302	(global or via arguments) to generate a return value, but changes nothing
303	and has no side-effects. __GMP_NO_ATTRIBUTE_CONST_PURE lets
304	tune/common.c etc turn this off when trying to write timing loops. */
305	#if __GMP_GNUC_PREREQ (2,96) && ! defined (__GMP_NO_ATTRIBUTE_CONST_PURE)
306	#define __GMP_ATTRIBUTE_PURE __attribute__ ((__pure__))
307	#else
308	#define __GMP_ATTRIBUTE_PURE
309	#endif
310
311
312	/* __GMP_CAST allows us to use static_cast in C++, so our macros are clean
313	to "g++ -Wold-style-cast".
314
315	Casts in "extern inline" code within an extern "C" block don't induce
316	these warnings, so __GMP_CAST only needs to be used on documented
317	macros. */
318
319	#ifdef __cplusplus
320	#define __GMP_CAST(type, expr) (static_cast<type> (expr))
321	#else
322	#define __GMP_CAST(type, expr) ((type) (expr))
323	#endif
324
325
326	/* An empty "throw ()" means the function doesn't throw any C++ exceptions,
327	this can save some stack frame info in applications.
328
329	Currently it's given only on functions which never divide-by-zero etc,
330	don't allocate memory, and are expected to never need to allocate memory.
331	This leaves open the possibility of a C++ throw from a future GMP
332	exceptions scheme.
333
334	mpz_set_ui etc are omitted to leave open the lazy allocation scheme
335	described in doc/tasks.html. mpz_get_d etc are omitted to leave open
336	exceptions for float overflows.
337
338	Note that __GMP_NOTHROW must be given on any inlines the same as on their
339	prototypes (for g++ at least, where they're used together). Note also
340	that g++ 3.0 demands that __GMP_NOTHROW is before other attributes like
341	__GMP_ATTRIBUTE_PURE. */
342
343	#if defined (__cplusplus)
344	#if __cplusplus >= 201103L
345	#define __GMP_NOTHROW noexcept
346	#else
347	#define __GMP_NOTHROW throw ()
348	#endif
349	#else
350	#define __GMP_NOTHROW
351	#endif
352
353
354	/* PORTME: What other compilers have a useful "extern inline"? "static
355	inline" would be an acceptable substitute if the compiler (or linker)
356	discards unused statics. */
357
358	/* gcc has __inline__ in all modes, including strict ansi. Give a prototype
359	for an inline too, so as to correctly specify "dllimport" on windows, in
360	case the function is called rather than inlined.
361	GCC 4.3 and above with -std=c99 or -std=gnu99 implements ISO C99
362	inline semantics, unless -fgnu89-inline is used. */
363	#ifdef __GNUC__
364	#if (defined __GNUC_STDC_INLINE__) || (__GNUC__ == 4 && __GNUC_MINOR__ == 2) \
365	|| (defined __GNUC_GNU_INLINE__ && defined __cplusplus)
366	#define __GMP_EXTERN_INLINE extern __inline__ __attribute__ ((__gnu_inline__))
367	#else
368	#define __GMP_EXTERN_INLINE extern __inline__
369	#endif
370	#define __GMP_INLINE_PROTOTYPES 1
371	#endif
372
373	/* DEC C (eg. version 5.9) supports "static __inline foo()", even in -std1
374	strict ANSI mode. Inlining is done even when not optimizing (ie. -O0
375	mode, which is the default), but an unnecessary local copy of foo is
376	emitted unless -O is used. "extern __inline" is accepted, but the
377	"extern" appears to be ignored, ie. it becomes a plain global function
378	but which is inlined within its file. Don't know if all old versions of
379	DEC C supported __inline, but as a start let's do the right thing for
380	current versions. */
381	#ifdef __DECC
382	#define __GMP_EXTERN_INLINE static __inline
383	#endif
384
385	/* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict
386	ANSI mode (__STDC__ is 1 in that mode). Inlining only actually takes
387	place under -O. Without -O "foo" seems to be emitted whether it's used
388	or not, which is wasteful. "extern inline foo()" isn't useful, the
389	"extern" is apparently ignored, so foo is inlined if possible but also
390	emitted as a global, which causes multiple definition errors when
391	building a shared libgmp. */
392	#ifdef __SCO_VERSION__
393	#if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
394	&& ! defined (__GMP_EXTERN_INLINE)
395	#define __GMP_EXTERN_INLINE static inline
396	#endif
397	#endif
398
399	/* Microsoft's C compiler accepts __inline */
400	#ifdef _MSC_VER
401	#define __GMP_EXTERN_INLINE __inline
402	#endif
403
404	/* Recent enough Sun C compilers want "inline" */
405	#if defined (__SUNPRO_C) && __SUNPRO_C >= 0x560 \
406	&& ! defined (__GMP_EXTERN_INLINE)
407	#define __GMP_EXTERN_INLINE inline
408	#endif
409
410	/* Somewhat older Sun C compilers want "static inline" */
411	#if defined (__SUNPRO_C) && __SUNPRO_C >= 0x540 \
412	&& ! defined (__GMP_EXTERN_INLINE)
413	#define __GMP_EXTERN_INLINE static inline
414	#endif
415
416
417	/* C++ always has "inline" and since it's a normal feature the linker should
418	discard duplicate non-inlined copies, or if it doesn't then that's a
419	problem for everyone, not just GMP. */
420	#if defined (__cplusplus) && ! defined (__GMP_EXTERN_INLINE)
421	#define __GMP_EXTERN_INLINE inline
422	#endif
423
424	/* Don't do any inlining within a configure run, since if the compiler ends
425	up emitting copies of the code into the object file it can end up
426	demanding the various support routines (like mpn_popcount) for linking,
427	making the "alloca" test and perhaps others fail. And on hppa ia64 a
428	pre-release gcc 3.2 was seen not respecting the "extern" in "extern
429	__inline__", triggering this problem too. */
430	#if defined (__GMP_WITHIN_CONFIGURE) && ! __GMP_WITHIN_CONFIGURE_INLINE
431	#undef __GMP_EXTERN_INLINE
432	#endif
433
434	/* By default, don't give a prototype when there's going to be an inline
435	version. Note in particular that Cray C++ objects to the combination of
436	prototype and inline. */
437	#ifdef __GMP_EXTERN_INLINE
438	#ifndef __GMP_INLINE_PROTOTYPES
439	#define __GMP_INLINE_PROTOTYPES 0
440	#endif
441	#else
442	#define __GMP_INLINE_PROTOTYPES 1
443	#endif
444
445
446	#define __GMP_ABS(x) ((x) >= 0 ? (x) : -(x))
447	#define __GMP_MAX(h,i) ((h) > (i) ? (h) : (i))
448
449
450	/* __builtin_expect is in gcc 3.0, and not in 2.95. */
451	#if __GMP_GNUC_PREREQ (3,0)
452	#define __GMP_LIKELY(cond) __builtin_expect ((cond) != 0, 1)
453	#define __GMP_UNLIKELY(cond) __builtin_expect ((cond) != 0, 0)
454	#else
455	#define __GMP_LIKELY(cond) (cond)
456	#define __GMP_UNLIKELY(cond) (cond)
457	#endif
458
459	#ifdef _CRAY
460	#define __GMP_CRAY_Pragma(str) _Pragma (str)
461	#else
462	#define __GMP_CRAY_Pragma(str)
463	#endif
464
465
466	/* Allow direct user access to numerator and denominator of an mpq_t object. */
467	#define mpq_numref(Q) (&((Q)->_mp_num))
468	#define mpq_denref(Q) (&((Q)->_mp_den))
469
470
471	#if defined (__cplusplus)
472	extern "C" {
473	using std::FILE;
474	#endif
475
476	#define mp_set_memory_functions __gmp_set_memory_functions
477	__GMP_DECLSPEC void mp_set_memory_functions (void *(*) (size_t),
478	void *(*) (void *, size_t, size_t),
479	void (*) (void *, size_t)) __GMP_NOTHROW;
480
481	#define mp_get_memory_functions __gmp_get_memory_functions
482	__GMP_DECLSPEC void mp_get_memory_functions (void *(**) (size_t),
483	void *(**) (void *, size_t, size_t),
484	void (**) (void *, size_t)) __GMP_NOTHROW;
485
486	#define mp_bits_per_limb __gmp_bits_per_limb
487	__GMP_DECLSPEC extern const int mp_bits_per_limb;
488
489	#define gmp_errno __gmp_errno
490	__GMP_DECLSPEC extern int gmp_errno;
491
492	#define gmp_version __gmp_version
493	__GMP_DECLSPEC extern const char * const gmp_version;
494
495
496	/**************** Random number routines. ****************/
497
498	/* obsolete */
499	#define gmp_randinit __gmp_randinit
500	__GMP_DECLSPEC void gmp_randinit (gmp_randstate_t, gmp_randalg_t, ...);
501
502	#define gmp_randinit_default __gmp_randinit_default
503	__GMP_DECLSPEC void gmp_randinit_default (gmp_randstate_t);
504
505	#define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
506	__GMP_DECLSPEC void gmp_randinit_lc_2exp (gmp_randstate_t, mpz_srcptr, unsigned long int, mp_bitcnt_t);
507
508	#define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size
509	__GMP_DECLSPEC int gmp_randinit_lc_2exp_size (gmp_randstate_t, mp_bitcnt_t);
510
511	#define gmp_randinit_mt __gmp_randinit_mt
512	__GMP_DECLSPEC void gmp_randinit_mt (gmp_randstate_t);
513
514	#define gmp_randinit_set __gmp_randinit_set
515	__GMP_DECLSPEC void gmp_randinit_set (gmp_randstate_t, const __gmp_randstate_struct *);
516
517	#define gmp_randseed __gmp_randseed
518	__GMP_DECLSPEC void gmp_randseed (gmp_randstate_t, mpz_srcptr);
519
520	#define gmp_randseed_ui __gmp_randseed_ui
521	__GMP_DECLSPEC void gmp_randseed_ui (gmp_randstate_t, unsigned long int);
522
523	#define gmp_randclear __gmp_randclear
524	__GMP_DECLSPEC void gmp_randclear (gmp_randstate_t);
525
526	#define gmp_urandomb_ui __gmp_urandomb_ui
527	__GMP_DECLSPEC unsigned long gmp_urandomb_ui (gmp_randstate_t, unsigned long);
528
529	#define gmp_urandomm_ui __gmp_urandomm_ui
530	__GMP_DECLSPEC unsigned long gmp_urandomm_ui (gmp_randstate_t, unsigned long);
531
532
533	/**************** Formatted output routines. ****************/
534
535	#define gmp_asprintf __gmp_asprintf
536	__GMP_DECLSPEC int gmp_asprintf (char **, const char *, ...);
537
538	#define gmp_fprintf __gmp_fprintf
539	#ifdef _GMP_H_HAVE_FILE
540	__GMP_DECLSPEC int gmp_fprintf (FILE *, const char *, ...);
541	#endif
542
543	#define gmp_obstack_printf __gmp_obstack_printf
544	#if defined (_GMP_H_HAVE_OBSTACK)
545	__GMP_DECLSPEC int gmp_obstack_printf (struct obstack *, const char *, ...);
546	#endif
547
548	#define gmp_obstack_vprintf __gmp_obstack_vprintf
549	#if defined (_GMP_H_HAVE_OBSTACK) && defined (_GMP_H_HAVE_VA_LIST)
550	__GMP_DECLSPEC int gmp_obstack_vprintf (struct obstack *, const char *, va_list);
551	#endif
552
553	#define gmp_printf __gmp_printf
554	__GMP_DECLSPEC int gmp_printf (const char *, ...);
555
556	#define gmp_snprintf __gmp_snprintf
557	__GMP_DECLSPEC int gmp_snprintf (char *, size_t, const char *, ...);
558
559	#define gmp_sprintf __gmp_sprintf
560	__GMP_DECLSPEC int gmp_sprintf (char *, const char *, ...);
561
562	#define gmp_vasprintf __gmp_vasprintf
563	#if defined (_GMP_H_HAVE_VA_LIST)
564	__GMP_DECLSPEC int gmp_vasprintf (char **, const char *, va_list);
565	#endif
566
567	#define gmp_vfprintf __gmp_vfprintf
568	#if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
569	__GMP_DECLSPEC int gmp_vfprintf (FILE *, const char *, va_list);
570	#endif
571
572	#define gmp_vprintf __gmp_vprintf
573	#if defined (_GMP_H_HAVE_VA_LIST)
574	__GMP_DECLSPEC int gmp_vprintf (const char *, va_list);
575	#endif
576
577	#define gmp_vsnprintf __gmp_vsnprintf
578	#if defined (_GMP_H_HAVE_VA_LIST)
579	__GMP_DECLSPEC int gmp_vsnprintf (char *, size_t, const char *, va_list);
580	#endif
581
582	#define gmp_vsprintf __gmp_vsprintf
583	#if defined (_GMP_H_HAVE_VA_LIST)
584	__GMP_DECLSPEC int gmp_vsprintf (char *, const char *, va_list);
585	#endif
586
587
588	/**************** Formatted input routines. ****************/
589
590	#define gmp_fscanf __gmp_fscanf
591	#ifdef _GMP_H_HAVE_FILE
592	__GMP_DECLSPEC int gmp_fscanf (FILE *, const char *, ...);
593	#endif
594
595	#define gmp_scanf __gmp_scanf
596	__GMP_DECLSPEC int gmp_scanf (const char *, ...);
597
598	#define gmp_sscanf __gmp_sscanf
599	__GMP_DECLSPEC int gmp_sscanf (const char *, const char *, ...);
600
601	#define gmp_vfscanf __gmp_vfscanf
602	#if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
603	__GMP_DECLSPEC int gmp_vfscanf (FILE *, const char *, va_list);
604	#endif
605
606	#define gmp_vscanf __gmp_vscanf
607	#if defined (_GMP_H_HAVE_VA_LIST)
608	__GMP_DECLSPEC int gmp_vscanf (const char *, va_list);
609	#endif
610
611	#define gmp_vsscanf __gmp_vsscanf
612	#if defined (_GMP_H_HAVE_VA_LIST)
613	__GMP_DECLSPEC int gmp_vsscanf (const char *, const char *, va_list);
614	#endif
615
616
617	/**************** Integer (i.e. Z) routines. ****************/
618
619	#define _mpz_realloc __gmpz_realloc
620	#define mpz_realloc __gmpz_realloc
621	__GMP_DECLSPEC void *_mpz_realloc (mpz_ptr, mp_size_t);
622
623	#define mpz_abs __gmpz_abs
624	#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs)
625	__GMP_DECLSPEC void mpz_abs (mpz_ptr, mpz_srcptr);
626	#endif
627
628	#define mpz_add __gmpz_add
629	__GMP_DECLSPEC void mpz_add (mpz_ptr, mpz_srcptr, mpz_srcptr);
630
631	#define mpz_add_ui __gmpz_add_ui
632	__GMP_DECLSPEC void mpz_add_ui (mpz_ptr, mpz_srcptr, unsigned long int);
633
634	#define mpz_addmul __gmpz_addmul
635	__GMP_DECLSPEC void mpz_addmul (mpz_ptr, mpz_srcptr, mpz_srcptr);
636
637	#define mpz_addmul_ui __gmpz_addmul_ui
638	__GMP_DECLSPEC void mpz_addmul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
639
640	#define mpz_and __gmpz_and
641	__GMP_DECLSPEC void mpz_and (mpz_ptr, mpz_srcptr, mpz_srcptr);
642
643	#define mpz_array_init __gmpz_array_init
644	__GMP_DECLSPEC void mpz_array_init (mpz_ptr, mp_size_t, mp_size_t);
645
646	#define mpz_bin_ui __gmpz_bin_ui
647	__GMP_DECLSPEC void mpz_bin_ui (mpz_ptr, mpz_srcptr, unsigned long int);
648
649	#define mpz_bin_uiui __gmpz_bin_uiui
650	__GMP_DECLSPEC void mpz_bin_uiui (mpz_ptr, unsigned long int, unsigned long int);
651
652	#define mpz_cdiv_q __gmpz_cdiv_q
653	__GMP_DECLSPEC void mpz_cdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
654
655	#define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
656	__GMP_DECLSPEC void mpz_cdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
657
658	#define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
659	__GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
660
661	#define mpz_cdiv_qr __gmpz_cdiv_qr
662	__GMP_DECLSPEC void mpz_cdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
663
664	#define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
665	__GMP_DECLSPEC unsigned long int mpz_cdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
666
667	#define mpz_cdiv_r __gmpz_cdiv_r
668	__GMP_DECLSPEC void mpz_cdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
669
670	#define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
671	__GMP_DECLSPEC void mpz_cdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
672
673	#define mpz_cdiv_r_ui __gmpz_cdiv_r_ui
674	__GMP_DECLSPEC unsigned long int mpz_cdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
675
676	#define mpz_cdiv_ui __gmpz_cdiv_ui
677	__GMP_DECLSPEC unsigned long int mpz_cdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
678
679	#define mpz_clear __gmpz_clear
680	__GMP_DECLSPEC void mpz_clear (mpz_ptr);
681
682	#define mpz_clears __gmpz_clears
683	__GMP_DECLSPEC void mpz_clears (mpz_ptr, ...);
684
685	#define mpz_clrbit __gmpz_clrbit
686	__GMP_DECLSPEC void mpz_clrbit (mpz_ptr, mp_bitcnt_t);
687
688	#define mpz_cmp __gmpz_cmp
689	__GMP_DECLSPEC int mpz_cmp (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
690
691	#define mpz_cmp_d __gmpz_cmp_d
692	__GMP_DECLSPEC int mpz_cmp_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
693
694	#define _mpz_cmp_si __gmpz_cmp_si
695	__GMP_DECLSPEC int _mpz_cmp_si (mpz_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
696
697	#define _mpz_cmp_ui __gmpz_cmp_ui
698	__GMP_DECLSPEC int _mpz_cmp_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
699
700	#define mpz_cmpabs __gmpz_cmpabs
701	__GMP_DECLSPEC int mpz_cmpabs (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
702
703	#define mpz_cmpabs_d __gmpz_cmpabs_d
704	__GMP_DECLSPEC int mpz_cmpabs_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
705
706	#define mpz_cmpabs_ui __gmpz_cmpabs_ui
707	__GMP_DECLSPEC int mpz_cmpabs_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
708
709	#define mpz_com __gmpz_com
710	__GMP_DECLSPEC void mpz_com (mpz_ptr, mpz_srcptr);
711
712	#define mpz_combit __gmpz_combit
713	__GMP_DECLSPEC void mpz_combit (mpz_ptr, mp_bitcnt_t);
714
715	#define mpz_congruent_p __gmpz_congruent_p
716	__GMP_DECLSPEC int mpz_congruent_p (mpz_srcptr, mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
717
718	#define mpz_congruent_2exp_p __gmpz_congruent_2exp_p
719	__GMP_DECLSPEC int mpz_congruent_2exp_p (mpz_srcptr, mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
720
721	#define mpz_congruent_ui_p __gmpz_congruent_ui_p
722	__GMP_DECLSPEC int mpz_congruent_ui_p (mpz_srcptr, unsigned long, unsigned long) __GMP_ATTRIBUTE_PURE;
723
724	#define mpz_divexact __gmpz_divexact
725	__GMP_DECLSPEC void mpz_divexact (mpz_ptr, mpz_srcptr, mpz_srcptr);
726
727	#define mpz_divexact_ui __gmpz_divexact_ui
728	__GMP_DECLSPEC void mpz_divexact_ui (mpz_ptr, mpz_srcptr, unsigned long);
729
730	#define mpz_divisible_p __gmpz_divisible_p
731	__GMP_DECLSPEC int mpz_divisible_p (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
732
733	#define mpz_divisible_ui_p __gmpz_divisible_ui_p
734	__GMP_DECLSPEC int mpz_divisible_ui_p (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
735
736	#define mpz_divisible_2exp_p __gmpz_divisible_2exp_p
737	__GMP_DECLSPEC int mpz_divisible_2exp_p (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
738
739	#define mpz_dump __gmpz_dump
740	__GMP_DECLSPEC void mpz_dump (mpz_srcptr);
741
742	#define mpz_export __gmpz_export
743	__GMP_DECLSPEC void *mpz_export (void *, size_t *, int, size_t, int, size_t, mpz_srcptr);
744
745	#define mpz_fac_ui __gmpz_fac_ui
746	__GMP_DECLSPEC void mpz_fac_ui (mpz_ptr, unsigned long int);
747
748	#define mpz_2fac_ui __gmpz_2fac_ui
749	__GMP_DECLSPEC void mpz_2fac_ui (mpz_ptr, unsigned long int);
750
751	#define mpz_mfac_uiui __gmpz_mfac_uiui
752	__GMP_DECLSPEC void mpz_mfac_uiui (mpz_ptr, unsigned long int, unsigned long int);
753
754	#define mpz_primorial_ui __gmpz_primorial_ui
755	__GMP_DECLSPEC void mpz_primorial_ui (mpz_ptr, unsigned long int);
756
757	#define mpz_fdiv_q __gmpz_fdiv_q
758	__GMP_DECLSPEC void mpz_fdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
759
760	#define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
761	__GMP_DECLSPEC void mpz_fdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
762
763	#define mpz_fdiv_q_ui __gmpz_fdiv_q_ui
764	__GMP_DECLSPEC unsigned long int mpz_fdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
765
766	#define mpz_fdiv_qr __gmpz_fdiv_qr
767	__GMP_DECLSPEC void mpz_fdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
768
769	#define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui
770	__GMP_DECLSPEC unsigned long int mpz_fdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
771
772	#define mpz_fdiv_r __gmpz_fdiv_r
773	__GMP_DECLSPEC void mpz_fdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
774
775	#define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
776	__GMP_DECLSPEC void mpz_fdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
777
778	#define mpz_fdiv_r_ui __gmpz_fdiv_r_ui
779	__GMP_DECLSPEC unsigned long int mpz_fdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
780
781	#define mpz_fdiv_ui __gmpz_fdiv_ui
782	__GMP_DECLSPEC unsigned long int mpz_fdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
783
784	#define mpz_fib_ui __gmpz_fib_ui
785	__GMP_DECLSPEC void mpz_fib_ui (mpz_ptr, unsigned long int);
786
787	#define mpz_fib2_ui __gmpz_fib2_ui
788	__GMP_DECLSPEC void mpz_fib2_ui (mpz_ptr, mpz_ptr, unsigned long int);
789
790	#define mpz_fits_sint_p __gmpz_fits_sint_p
791	__GMP_DECLSPEC int mpz_fits_sint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
792
793	#define mpz_fits_slong_p __gmpz_fits_slong_p
794	__GMP_DECLSPEC int mpz_fits_slong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
795
796	#define mpz_fits_sshort_p __gmpz_fits_sshort_p
797	__GMP_DECLSPEC int mpz_fits_sshort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
798
799	#define mpz_fits_uint_p __gmpz_fits_uint_p
800	#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_uint_p)
801	__GMP_DECLSPEC int mpz_fits_uint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
802	#endif
803
804	#define mpz_fits_ulong_p __gmpz_fits_ulong_p
805	#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ulong_p)
806	__GMP_DECLSPEC int mpz_fits_ulong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
807	#endif
808
809	#define mpz_fits_ushort_p __gmpz_fits_ushort_p
810	#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ushort_p)
811	__GMP_DECLSPEC int mpz_fits_ushort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
812	#endif
813
814	#define mpz_gcd __gmpz_gcd
815	__GMP_DECLSPEC void mpz_gcd (mpz_ptr, mpz_srcptr, mpz_srcptr);
816
817	#define mpz_gcd_ui __gmpz_gcd_ui
818	__GMP_DECLSPEC unsigned long int mpz_gcd_ui (mpz_ptr, mpz_srcptr, unsigned long int);
819
820	#define mpz_gcdext __gmpz_gcdext
821	__GMP_DECLSPEC void mpz_gcdext (mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
822
823	#define mpz_get_d __gmpz_get_d
824	__GMP_DECLSPEC double mpz_get_d (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
825
826	#define mpz_get_d_2exp __gmpz_get_d_2exp
827	__GMP_DECLSPEC double mpz_get_d_2exp (signed long int *, mpz_srcptr);
828
829	#define mpz_get_si __gmpz_get_si
830	__GMP_DECLSPEC /* signed */ long int mpz_get_si (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
831
832	#define mpz_get_str __gmpz_get_str
833	__GMP_DECLSPEC char *mpz_get_str (char *, int, mpz_srcptr);
834
835	#define mpz_get_ui __gmpz_get_ui
836	#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_get_ui)
837	__GMP_DECLSPEC unsigned long int mpz_get_ui (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
838	#endif
839
840	#define mpz_getlimbn __gmpz_getlimbn
841	#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_getlimbn)
842	__GMP_DECLSPEC mp_limb_t mpz_getlimbn (mpz_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
843	#endif
844
845	#define mpz_hamdist __gmpz_hamdist
846	__GMP_DECLSPEC mp_bitcnt_t mpz_hamdist (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
847
848	#define mpz_import __gmpz_import
849	__GMP_DECLSPEC void mpz_import (mpz_ptr, size_t, int, size_t, int, size_t, const void *);
850
851	#define mpz_init __gmpz_init
852	__GMP_DECLSPEC void mpz_init (mpz_ptr) __GMP_NOTHROW;
853
854	#define mpz_init2 __gmpz_init2
855	__GMP_DECLSPEC void mpz_init2 (mpz_ptr, mp_bitcnt_t);
856
857	#define mpz_inits __gmpz_inits
858	__GMP_DECLSPEC void mpz_inits (mpz_ptr, ...) __GMP_NOTHROW;
859
860	#define mpz_init_set __gmpz_init_set
861	__GMP_DECLSPEC void mpz_init_set (mpz_ptr, mpz_srcptr);
862
863	#define mpz_init_set_d __gmpz_init_set_d
864	__GMP_DECLSPEC void mpz_init_set_d (mpz_ptr, double);
865
866	#define mpz_init_set_si __gmpz_init_set_si
867	__GMP_DECLSPEC void mpz_init_set_si (mpz_ptr, signed long int);
868
869	#define mpz_init_set_str __gmpz_init_set_str
870	__GMP_DECLSPEC int mpz_init_set_str (mpz_ptr, const char *, int);
871
872	#define mpz_init_set_ui __gmpz_init_set_ui
873	__GMP_DECLSPEC void mpz_init_set_ui (mpz_ptr, unsigned long int);
874
875	#define mpz_inp_raw __gmpz_inp_raw
876	#ifdef _GMP_H_HAVE_FILE
877	__GMP_DECLSPEC size_t mpz_inp_raw (mpz_ptr, FILE *);
878	#endif
879
880	#define mpz_inp_str __gmpz_inp_str
881	#ifdef _GMP_H_HAVE_FILE
882	__GMP_DECLSPEC size_t mpz_inp_str (mpz_ptr, FILE *, int);
883	#endif
884
885	#define mpz_invert __gmpz_invert
886	__GMP_DECLSPEC int mpz_invert (mpz_ptr, mpz_srcptr, mpz_srcptr);
887
888	#define mpz_ior __gmpz_ior
889	__GMP_DECLSPEC void mpz_ior (mpz_ptr, mpz_srcptr, mpz_srcptr);
890
891	#define mpz_jacobi __gmpz_jacobi
892	__GMP_DECLSPEC int mpz_jacobi (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
893
894	#define mpz_kronecker mpz_jacobi /* alias */
895
896	#define mpz_kronecker_si __gmpz_kronecker_si
897	__GMP_DECLSPEC int mpz_kronecker_si (mpz_srcptr, long) __GMP_ATTRIBUTE_PURE;
898
899	#define mpz_kronecker_ui __gmpz_kronecker_ui
900	__GMP_DECLSPEC int mpz_kronecker_ui (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
901
902	#define mpz_si_kronecker __gmpz_si_kronecker
903	__GMP_DECLSPEC int mpz_si_kronecker (long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
904
905	#define mpz_ui_kronecker __gmpz_ui_kronecker
906	__GMP_DECLSPEC int mpz_ui_kronecker (unsigned long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
907
908	#define mpz_lcm __gmpz_lcm
909	__GMP_DECLSPEC void mpz_lcm (mpz_ptr, mpz_srcptr, mpz_srcptr);
910
911	#define mpz_lcm_ui __gmpz_lcm_ui
912	__GMP_DECLSPEC void mpz_lcm_ui (mpz_ptr, mpz_srcptr, unsigned long);
913
914	#define mpz_legendre mpz_jacobi /* alias */
915
916	#define mpz_lucnum_ui __gmpz_lucnum_ui
917	__GMP_DECLSPEC void mpz_lucnum_ui (mpz_ptr, unsigned long int);
918
919	#define mpz_lucnum2_ui __gmpz_lucnum2_ui
920	__GMP_DECLSPEC void mpz_lucnum2_ui (mpz_ptr, mpz_ptr, unsigned long int);
921
922	#define mpz_millerrabin __gmpz_millerrabin
923	__GMP_DECLSPEC int mpz_millerrabin (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
924
925	#define mpz_mod __gmpz_mod
926	__GMP_DECLSPEC void mpz_mod (mpz_ptr, mpz_srcptr, mpz_srcptr);
927
928	#define mpz_mod_ui mpz_fdiv_r_ui /* same as fdiv_r because divisor unsigned */
929
930	#define mpz_mul __gmpz_mul
931	__GMP_DECLSPEC void mpz_mul (mpz_ptr, mpz_srcptr, mpz_srcptr);
932
933	#define mpz_mul_2exp __gmpz_mul_2exp
934	__GMP_DECLSPEC void mpz_mul_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
935
936	#define mpz_mul_si __gmpz_mul_si
937	__GMP_DECLSPEC void mpz_mul_si (mpz_ptr, mpz_srcptr, long int);
938
939	#define mpz_mul_ui __gmpz_mul_ui
940	__GMP_DECLSPEC void mpz_mul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
941
942	#define mpz_neg __gmpz_neg
943	#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_neg)
944	__GMP_DECLSPEC void mpz_neg (mpz_ptr, mpz_srcptr);
945	#endif
946
947	#define mpz_nextprime __gmpz_nextprime
948	__GMP_DECLSPEC void mpz_nextprime (mpz_ptr, mpz_srcptr);
949
950	#define mpz_out_raw __gmpz_out_raw
951	#ifdef _GMP_H_HAVE_FILE
952	__GMP_DECLSPEC size_t mpz_out_raw (FILE *, mpz_srcptr);
953	#endif
954
955	#define mpz_out_str __gmpz_out_str
956	#ifdef _GMP_H_HAVE_FILE
957	__GMP_DECLSPEC size_t mpz_out_str (FILE *, int, mpz_srcptr);
958	#endif
959
960	#define mpz_perfect_power_p __gmpz_perfect_power_p
961	__GMP_DECLSPEC int mpz_perfect_power_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
962
963	#define mpz_perfect_square_p __gmpz_perfect_square_p
964	#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_perfect_square_p)
965	__GMP_DECLSPEC int mpz_perfect_square_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
966	#endif
967
968	#define mpz_popcount __gmpz_popcount
969	#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_popcount)
970	__GMP_DECLSPEC mp_bitcnt_t mpz_popcount (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
971	#endif
972
973	#define mpz_pow_ui __gmpz_pow_ui
974	__GMP_DECLSPEC void mpz_pow_ui (mpz_ptr, mpz_srcptr, unsigned long int);
975
976	#define mpz_powm __gmpz_powm
977	__GMP_DECLSPEC void mpz_powm (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
978
979	#define mpz_powm_sec __gmpz_powm_sec
980	__GMP_DECLSPEC void mpz_powm_sec (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
981
982	#define mpz_powm_ui __gmpz_powm_ui
983	__GMP_DECLSPEC void mpz_powm_ui (mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr);
984
985	#define mpz_probab_prime_p __gmpz_probab_prime_p
986	__GMP_DECLSPEC int mpz_probab_prime_p (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
987
988	#define mpz_random __gmpz_random
989	__GMP_DECLSPEC void mpz_random (mpz_ptr, mp_size_t);
990
991	#define mpz_random2 __gmpz_random2
992	__GMP_DECLSPEC void mpz_random2 (mpz_ptr, mp_size_t);
993
994	#define mpz_realloc2 __gmpz_realloc2
995	__GMP_DECLSPEC void mpz_realloc2 (mpz_ptr, mp_bitcnt_t);
996
997	#define mpz_remove __gmpz_remove
998	__GMP_DECLSPEC mp_bitcnt_t mpz_remove (mpz_ptr, mpz_srcptr, mpz_srcptr);
999
1000	#define mpz_root __gmpz_root
1001	__GMP_DECLSPEC int mpz_root (mpz_ptr, mpz_srcptr, unsigned long int);
1002
1003	#define mpz_rootrem __gmpz_rootrem
1004	__GMP_DECLSPEC void mpz_rootrem (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
1005
1006	#define mpz_rrandomb __gmpz_rrandomb
1007	__GMP_DECLSPEC void mpz_rrandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
1008
1009	#define mpz_scan0 __gmpz_scan0
1010	__GMP_DECLSPEC mp_bitcnt_t mpz_scan0 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1011
1012	#define mpz_scan1 __gmpz_scan1
1013	__GMP_DECLSPEC mp_bitcnt_t mpz_scan1 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1014
1015	#define mpz_set __gmpz_set
1016	__GMP_DECLSPEC void mpz_set (mpz_ptr, mpz_srcptr);
1017
1018	#define mpz_set_d __gmpz_set_d
1019	__GMP_DECLSPEC void mpz_set_d (mpz_ptr, double);
1020
1021	#define mpz_set_f __gmpz_set_f
1022	__GMP_DECLSPEC void mpz_set_f (mpz_ptr, mpf_srcptr);
1023
1024	#define mpz_set_q __gmpz_set_q
1025	#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_set_q)
1026	__GMP_DECLSPEC void mpz_set_q (mpz_ptr, mpq_srcptr);
1027	#endif
1028
1029	#define mpz_set_si __gmpz_set_si
1030	__GMP_DECLSPEC void mpz_set_si (mpz_ptr, signed long int);
1031
1032	#define mpz_set_str __gmpz_set_str
1033	__GMP_DECLSPEC int mpz_set_str (mpz_ptr, const char *, int);
1034
1035	#define mpz_set_ui __gmpz_set_ui
1036	__GMP_DECLSPEC void mpz_set_ui (mpz_ptr, unsigned long int);
1037
1038	#define mpz_setbit __gmpz_setbit
1039	__GMP_DECLSPEC void mpz_setbit (mpz_ptr, mp_bitcnt_t);
1040
1041	#define mpz_size __gmpz_size
1042	#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_size)
1043	__GMP_DECLSPEC size_t mpz_size (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1044	#endif
1045
1046	#define mpz_sizeinbase __gmpz_sizeinbase
1047	__GMP_DECLSPEC size_t mpz_sizeinbase (mpz_srcptr, int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1048
1049	#define mpz_sqrt __gmpz_sqrt
1050	__GMP_DECLSPEC void mpz_sqrt (mpz_ptr, mpz_srcptr);
1051
1052	#define mpz_sqrtrem __gmpz_sqrtrem
1053	__GMP_DECLSPEC void mpz_sqrtrem (mpz_ptr, mpz_ptr, mpz_srcptr);
1054
1055	#define mpz_sub __gmpz_sub
1056	__GMP_DECLSPEC void mpz_sub (mpz_ptr, mpz_srcptr, mpz_srcptr);
1057
1058	#define mpz_sub_ui __gmpz_sub_ui
1059	__GMP_DECLSPEC void mpz_sub_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1060
1061	#define mpz_ui_sub __gmpz_ui_sub
1062	__GMP_DECLSPEC void mpz_ui_sub (mpz_ptr, unsigned long int, mpz_srcptr);
1063
1064	#define mpz_submul __gmpz_submul
1065	__GMP_DECLSPEC void mpz_submul (mpz_ptr, mpz_srcptr, mpz_srcptr);
1066
1067	#define mpz_submul_ui __gmpz_submul_ui
1068	__GMP_DECLSPEC void mpz_submul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1069
1070	#define mpz_swap __gmpz_swap
1071	__GMP_DECLSPEC void mpz_swap (mpz_ptr, mpz_ptr) __GMP_NOTHROW;
1072
1073	#define mpz_tdiv_ui __gmpz_tdiv_ui
1074	__GMP_DECLSPEC unsigned long int mpz_tdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
1075
1076	#define mpz_tdiv_q __gmpz_tdiv_q
1077	__GMP_DECLSPEC void mpz_tdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
1078
1079	#define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp
1080	__GMP_DECLSPEC void mpz_tdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
1081
1082	#define mpz_tdiv_q_ui __gmpz_tdiv_q_ui
1083	__GMP_DECLSPEC unsigned long int mpz_tdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1084
1085	#define mpz_tdiv_qr __gmpz_tdiv_qr
1086	__GMP_DECLSPEC void mpz_tdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
1087
1088	#define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui
1089	__GMP_DECLSPEC unsigned long int mpz_tdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
1090
1091	#define mpz_tdiv_r __gmpz_tdiv_r
1092	__GMP_DECLSPEC void mpz_tdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
1093
1094	#define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp
1095	__GMP_DECLSPEC void mpz_tdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
1096
1097	#define mpz_tdiv_r_ui __gmpz_tdiv_r_ui
1098	__GMP_DECLSPEC unsigned long int mpz_tdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1099
1100	#define mpz_tstbit __gmpz_tstbit
1101	__GMP_DECLSPEC int mpz_tstbit (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1102
1103	#define mpz_ui_pow_ui __gmpz_ui_pow_ui
1104	__GMP_DECLSPEC void mpz_ui_pow_ui (mpz_ptr, unsigned long int, unsigned long int);
1105
1106	#define mpz_urandomb __gmpz_urandomb
1107	__GMP_DECLSPEC void mpz_urandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
1108
1109	#define mpz_urandomm __gmpz_urandomm
1110	__GMP_DECLSPEC void mpz_urandomm (mpz_ptr, gmp_randstate_t, mpz_srcptr);
1111
1112	#define mpz_xor __gmpz_xor
1113	#define mpz_eor __gmpz_xor
1114	__GMP_DECLSPEC void mpz_xor (mpz_ptr, mpz_srcptr, mpz_srcptr);
1115
1116	#define mpz_limbs_read __gmpz_limbs_read
1117	__GMP_DECLSPEC mp_srcptr mpz_limbs_read (mpz_srcptr);
1118
1119	#define mpz_limbs_write __gmpz_limbs_write
1120	__GMP_DECLSPEC mp_ptr mpz_limbs_write (mpz_ptr, mp_size_t);
1121
1122	#define mpz_limbs_modify __gmpz_limbs_modify
1123	__GMP_DECLSPEC mp_ptr mpz_limbs_modify (mpz_ptr, mp_size_t);
1124
1125	#define mpz_limbs_finish __gmpz_limbs_finish
1126	__GMP_DECLSPEC void mpz_limbs_finish (mpz_ptr, mp_size_t);
1127
1128	#define mpz_roinit_n __gmpz_roinit_n
1129	__GMP_DECLSPEC mpz_srcptr mpz_roinit_n (mpz_ptr, mp_srcptr, mp_size_t);
1130
1131	#define MPZ_ROINIT_N(xp, xs) {{0, (xs),(xp) }}
1132
1133	/**************** Rational (i.e. Q) routines. ****************/
1134
1135	#define mpq_abs __gmpq_abs
1136	#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_abs)
1137	__GMP_DECLSPEC void mpq_abs (mpq_ptr, mpq_srcptr);
1138	#endif
1139
1140	#define mpq_add __gmpq_add
1141	__GMP_DECLSPEC void mpq_add (mpq_ptr, mpq_srcptr, mpq_srcptr);
1142
1143	#define mpq_canonicalize __gmpq_canonicalize
1144	__GMP_DECLSPEC void mpq_canonicalize (mpq_ptr);
1145
1146	#define mpq_clear __gmpq_clear
1147	__GMP_DECLSPEC void mpq_clear (mpq_ptr);
1148
1149	#define mpq_clears __gmpq_clears
1150	__GMP_DECLSPEC void mpq_clears (mpq_ptr, ...);
1151
1152	#define mpq_cmp __gmpq_cmp
1153	__GMP_DECLSPEC int mpq_cmp (mpq_srcptr, mpq_srcptr) __GMP_ATTRIBUTE_PURE;
1154
1155	#define _mpq_cmp_si __gmpq_cmp_si
1156	__GMP_DECLSPEC int _mpq_cmp_si (mpq_srcptr, long, unsigned long) __GMP_ATTRIBUTE_PURE;
1157
1158	#define _mpq_cmp_ui __gmpq_cmp_ui
1159	__GMP_DECLSPEC int _mpq_cmp_ui (mpq_srcptr, unsigned long int, unsigned long int) __GMP_ATTRIBUTE_PURE;
1160
1161	#define mpq_cmp_z __gmpq_cmp_z
1162	__GMP_DECLSPEC int mpq_cmp_z (mpq_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
1163
1164	#define mpq_div __gmpq_div
1165	__GMP_DECLSPEC void mpq_div (mpq_ptr, mpq_srcptr, mpq_srcptr);
1166
1167	#define mpq_div_2exp __gmpq_div_2exp
1168	__GMP_DECLSPEC void mpq_div_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
1169
1170	#define mpq_equal __gmpq_equal
1171	__GMP_DECLSPEC int mpq_equal (mpq_srcptr, mpq_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1172
1173	#define mpq_get_num __gmpq_get_num
1174	__GMP_DECLSPEC void mpq_get_num (mpz_ptr, mpq_srcptr);
1175
1176	#define mpq_get_den __gmpq_get_den
1177	__GMP_DECLSPEC void mpq_get_den (mpz_ptr, mpq_srcptr);
1178
1179	#define mpq_get_d __gmpq_get_d
1180	__GMP_DECLSPEC double mpq_get_d (mpq_srcptr) __GMP_ATTRIBUTE_PURE;
1181
1182	#define mpq_get_str __gmpq_get_str
1183	__GMP_DECLSPEC char *mpq_get_str (char *, int, mpq_srcptr);
1184
1185	#define mpq_init __gmpq_init
1186	__GMP_DECLSPEC void mpq_init (mpq_ptr);
1187
1188	#define mpq_inits __gmpq_inits
1189	__GMP_DECLSPEC void mpq_inits (mpq_ptr, ...);
1190
1191	#define mpq_inp_str __gmpq_inp_str
1192	#ifdef _GMP_H_HAVE_FILE
1193	__GMP_DECLSPEC size_t mpq_inp_str (mpq_ptr, FILE *, int);
1194	#endif
1195
1196	#define mpq_inv __gmpq_inv
1197	__GMP_DECLSPEC void mpq_inv (mpq_ptr, mpq_srcptr);
1198
1199	#define mpq_mul __gmpq_mul
1200	__GMP_DECLSPEC void mpq_mul (mpq_ptr, mpq_srcptr, mpq_srcptr);
1201
1202	#define mpq_mul_2exp __gmpq_mul_2exp
1203	__GMP_DECLSPEC void mpq_mul_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
1204
1205	#define mpq_neg __gmpq_neg
1206	#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_neg)
1207	__GMP_DECLSPEC void mpq_neg (mpq_ptr, mpq_srcptr);
1208	#endif
1209
1210	#define mpq_out_str __gmpq_out_str
1211	#ifdef _GMP_H_HAVE_FILE
1212	__GMP_DECLSPEC size_t mpq_out_str (FILE *, int, mpq_srcptr);
1213	#endif
1214
1215	#define mpq_set __gmpq_set
1216	__GMP_DECLSPEC void mpq_set (mpq_ptr, mpq_srcptr);
1217
1218	#define mpq_set_d __gmpq_set_d
1219	__GMP_DECLSPEC void mpq_set_d (mpq_ptr, double);
1220
1221	#define mpq_set_den __gmpq_set_den
1222	__GMP_DECLSPEC void mpq_set_den (mpq_ptr, mpz_srcptr);
1223
1224	#define mpq_set_f __gmpq_set_f
1225	__GMP_DECLSPEC void mpq_set_f (mpq_ptr, mpf_srcptr);
1226
1227	#define mpq_set_num __gmpq_set_num
1228	__GMP_DECLSPEC void mpq_set_num (mpq_ptr, mpz_srcptr);
1229
1230	#define mpq_set_si __gmpq_set_si
1231	__GMP_DECLSPEC void mpq_set_si (mpq_ptr, signed long int, unsigned long int);
1232
1233	#define mpq_set_str __gmpq_set_str
1234	__GMP_DECLSPEC int mpq_set_str (mpq_ptr, const char *, int);
1235
1236	#define mpq_set_ui __gmpq_set_ui
1237	__GMP_DECLSPEC void mpq_set_ui (mpq_ptr, unsigned long int, unsigned long int);
1238
1239	#define mpq_set_z __gmpq_set_z
1240	__GMP_DECLSPEC void mpq_set_z (mpq_ptr, mpz_srcptr);
1241
1242	#define mpq_sub __gmpq_sub
1243	__GMP_DECLSPEC void mpq_sub (mpq_ptr, mpq_srcptr, mpq_srcptr);
1244
1245	#define mpq_swap __gmpq_swap
1246	__GMP_DECLSPEC void mpq_swap (mpq_ptr, mpq_ptr) __GMP_NOTHROW;
1247
1248
1249	/**************** Float (i.e. F) routines. ****************/
1250
1251	#define mpf_abs __gmpf_abs
1252	__GMP_DECLSPEC void mpf_abs (mpf_ptr, mpf_srcptr);
1253
1254	#define mpf_add __gmpf_add
1255	__GMP_DECLSPEC void mpf_add (mpf_ptr, mpf_srcptr, mpf_srcptr);
1256
1257	#define mpf_add_ui __gmpf_add_ui
1258	__GMP_DECLSPEC void mpf_add_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1259	#define mpf_ceil __gmpf_ceil
1260	__GMP_DECLSPEC void mpf_ceil (mpf_ptr, mpf_srcptr);
1261
1262	#define mpf_clear __gmpf_clear
1263	__GMP_DECLSPEC void mpf_clear (mpf_ptr);
1264
1265	#define mpf_clears __gmpf_clears
1266	__GMP_DECLSPEC void mpf_clears (mpf_ptr, ...);
1267
1268	#define mpf_cmp __gmpf_cmp
1269	__GMP_DECLSPEC int mpf_cmp (mpf_srcptr, mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1270
1271	#define mpf_cmp_z __gmpf_cmp_z
1272	__GMP_DECLSPEC int mpf_cmp_z (mpf_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1273
1274	#define mpf_cmp_d __gmpf_cmp_d
1275	__GMP_DECLSPEC int mpf_cmp_d (mpf_srcptr, double) __GMP_ATTRIBUTE_PURE;
1276
1277	#define mpf_cmp_si __gmpf_cmp_si
1278	__GMP_DECLSPEC int mpf_cmp_si (mpf_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1279
1280	#define mpf_cmp_ui __gmpf_cmp_ui
1281	__GMP_DECLSPEC int mpf_cmp_ui (mpf_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1282
1283	#define mpf_div __gmpf_div
1284	__GMP_DECLSPEC void mpf_div (mpf_ptr, mpf_srcptr, mpf_srcptr);
1285
1286	#define mpf_div_2exp __gmpf_div_2exp
1287	__GMP_DECLSPEC void mpf_div_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
1288
1289	#define mpf_div_ui __gmpf_div_ui
1290	__GMP_DECLSPEC void mpf_div_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1291
1292	#define mpf_dump __gmpf_dump
1293	__GMP_DECLSPEC void mpf_dump (mpf_srcptr);
1294
1295	#define mpf_eq __gmpf_eq
1296	__GMP_DECLSPEC int mpf_eq (mpf_srcptr, mpf_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
1297
1298	#define mpf_fits_sint_p __gmpf_fits_sint_p
1299	__GMP_DECLSPEC int mpf_fits_sint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1300
1301	#define mpf_fits_slong_p __gmpf_fits_slong_p
1302	__GMP_DECLSPEC int mpf_fits_slong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1303
1304	#define mpf_fits_sshort_p __gmpf_fits_sshort_p
1305	__GMP_DECLSPEC int mpf_fits_sshort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1306
1307	#define mpf_fits_uint_p __gmpf_fits_uint_p
1308	__GMP_DECLSPEC int mpf_fits_uint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1309
1310	#define mpf_fits_ulong_p __gmpf_fits_ulong_p
1311	__GMP_DECLSPEC int mpf_fits_ulong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1312
1313	#define mpf_fits_ushort_p __gmpf_fits_ushort_p
1314	__GMP_DECLSPEC int mpf_fits_ushort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1315
1316	#define mpf_floor __gmpf_floor
1317	__GMP_DECLSPEC void mpf_floor (mpf_ptr, mpf_srcptr);
1318
1319	#define mpf_get_d __gmpf_get_d
1320	__GMP_DECLSPEC double mpf_get_d (mpf_srcptr) __GMP_ATTRIBUTE_PURE;
1321
1322	#define mpf_get_d_2exp __gmpf_get_d_2exp
1323	__GMP_DECLSPEC double mpf_get_d_2exp (signed long int *, mpf_srcptr);
1324
1325	#define mpf_get_default_prec __gmpf_get_default_prec
1326	__GMP_DECLSPEC mp_bitcnt_t mpf_get_default_prec (void) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1327
1328	#define mpf_get_prec __gmpf_get_prec
1329	__GMP_DECLSPEC mp_bitcnt_t mpf_get_prec (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1330
1331	#define mpf_get_si __gmpf_get_si
1332	__GMP_DECLSPEC long mpf_get_si (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1333
1334	#define mpf_get_str __gmpf_get_str
1335	__GMP_DECLSPEC char *mpf_get_str (char *, mp_exp_t *, int, size_t, mpf_srcptr);
1336
1337	#define mpf_get_ui __gmpf_get_ui
1338	__GMP_DECLSPEC unsigned long mpf_get_ui (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1339
1340	#define mpf_init __gmpf_init
1341	__GMP_DECLSPEC void mpf_init (mpf_ptr);
1342
1343	#define mpf_init2 __gmpf_init2
1344	__GMP_DECLSPEC void mpf_init2 (mpf_ptr, mp_bitcnt_t);
1345
1346	#define mpf_inits __gmpf_inits
1347	__GMP_DECLSPEC void mpf_inits (mpf_ptr, ...);
1348
1349	#define mpf_init_set __gmpf_init_set
1350	__GMP_DECLSPEC void mpf_init_set (mpf_ptr, mpf_srcptr);
1351
1352	#define mpf_init_set_d __gmpf_init_set_d
1353	__GMP_DECLSPEC void mpf_init_set_d (mpf_ptr, double);
1354
1355	#define mpf_init_set_si __gmpf_init_set_si
1356	__GMP_DECLSPEC void mpf_init_set_si (mpf_ptr, signed long int);
1357
1358	#define mpf_init_set_str __gmpf_init_set_str
1359	__GMP_DECLSPEC int mpf_init_set_str (mpf_ptr, const char *, int);
1360
1361	#define mpf_init_set_ui __gmpf_init_set_ui
1362	__GMP_DECLSPEC void mpf_init_set_ui (mpf_ptr, unsigned long int);
1363
1364	#define mpf_inp_str __gmpf_inp_str
1365	#ifdef _GMP_H_HAVE_FILE
1366	__GMP_DECLSPEC size_t mpf_inp_str (mpf_ptr, FILE *, int);
1367	#endif
1368
1369	#define mpf_integer_p __gmpf_integer_p
1370	__GMP_DECLSPEC int mpf_integer_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1371
1372	#define mpf_mul __gmpf_mul
1373	__GMP_DECLSPEC void mpf_mul (mpf_ptr, mpf_srcptr, mpf_srcptr);
1374
1375	#define mpf_mul_2exp __gmpf_mul_2exp
1376	__GMP_DECLSPEC void mpf_mul_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
1377
1378	#define mpf_mul_ui __gmpf_mul_ui
1379	__GMP_DECLSPEC void mpf_mul_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1380
1381	#define mpf_neg __gmpf_neg
1382	__GMP_DECLSPEC void mpf_neg (mpf_ptr, mpf_srcptr);
1383
1384	#define mpf_out_str __gmpf_out_str
1385	#ifdef _GMP_H_HAVE_FILE
1386	__GMP_DECLSPEC size_t mpf_out_str (FILE *, int, size_t, mpf_srcptr);
1387	#endif
1388
1389	#define mpf_pow_ui __gmpf_pow_ui
1390	__GMP_DECLSPEC void mpf_pow_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1391
1392	#define mpf_random2 __gmpf_random2
1393	__GMP_DECLSPEC void mpf_random2 (mpf_ptr, mp_size_t, mp_exp_t);
1394
1395	#define mpf_reldiff __gmpf_reldiff
1396	__GMP_DECLSPEC void mpf_reldiff (mpf_ptr, mpf_srcptr, mpf_srcptr);
1397
1398	#define mpf_set __gmpf_set
1399	__GMP_DECLSPEC void mpf_set (mpf_ptr, mpf_srcptr);
1400
1401	#define mpf_set_d __gmpf_set_d
1402	__GMP_DECLSPEC void mpf_set_d (mpf_ptr, double);
1403
1404	#define mpf_set_default_prec __gmpf_set_default_prec
1405	__GMP_DECLSPEC void mpf_set_default_prec (mp_bitcnt_t) __GMP_NOTHROW;
1406
1407	#define mpf_set_prec __gmpf_set_prec
1408	__GMP_DECLSPEC void mpf_set_prec (mpf_ptr, mp_bitcnt_t);
1409
1410	#define mpf_set_prec_raw __gmpf_set_prec_raw
1411	__GMP_DECLSPEC void mpf_set_prec_raw (mpf_ptr, mp_bitcnt_t) __GMP_NOTHROW;
1412
1413	#define mpf_set_q __gmpf_set_q
1414	__GMP_DECLSPEC void mpf_set_q (mpf_ptr, mpq_srcptr);
1415
1416	#define mpf_set_si __gmpf_set_si
1417	__GMP_DECLSPEC void mpf_set_si (mpf_ptr, signed long int);
1418
1419	#define mpf_set_str __gmpf_set_str
1420	__GMP_DECLSPEC int mpf_set_str (mpf_ptr, const char *, int);
1421
1422	#define mpf_set_ui __gmpf_set_ui
1423	__GMP_DECLSPEC void mpf_set_ui (mpf_ptr, unsigned long int);
1424
1425	#define mpf_set_z __gmpf_set_z
1426	__GMP_DECLSPEC void mpf_set_z (mpf_ptr, mpz_srcptr);
1427
1428	#define mpf_size __gmpf_size
1429	__GMP_DECLSPEC size_t mpf_size (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1430
1431	#define mpf_sqrt __gmpf_sqrt
1432	__GMP_DECLSPEC void mpf_sqrt (mpf_ptr, mpf_srcptr);
1433
1434	#define mpf_sqrt_ui __gmpf_sqrt_ui
1435	__GMP_DECLSPEC void mpf_sqrt_ui (mpf_ptr, unsigned long int);
1436
1437	#define mpf_sub __gmpf_sub
1438	__GMP_DECLSPEC void mpf_sub (mpf_ptr, mpf_srcptr, mpf_srcptr);
1439
1440	#define mpf_sub_ui __gmpf_sub_ui
1441	__GMP_DECLSPEC void mpf_sub_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1442
1443	#define mpf_swap __gmpf_swap
1444	__GMP_DECLSPEC void mpf_swap (mpf_ptr, mpf_ptr) __GMP_NOTHROW;
1445
1446	#define mpf_trunc __gmpf_trunc
1447	__GMP_DECLSPEC void mpf_trunc (mpf_ptr, mpf_srcptr);
1448
1449	#define mpf_ui_div __gmpf_ui_div
1450	__GMP_DECLSPEC void mpf_ui_div (mpf_ptr, unsigned long int, mpf_srcptr);
1451
1452	#define mpf_ui_sub __gmpf_ui_sub
1453	__GMP_DECLSPEC void mpf_ui_sub (mpf_ptr, unsigned long int, mpf_srcptr);
1454
1455	#define mpf_urandomb __gmpf_urandomb
1456	__GMP_DECLSPEC void mpf_urandomb (mpf_t, gmp_randstate_t, mp_bitcnt_t);
1457
1458
1459	/************ Low level positive-integer (i.e. N) routines. ************/
1460
1461	/* This is ugly, but we need to make user calls reach the prefixed function. */
1462
1463	#define mpn_add __MPN(add)
1464	#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add)
1465	__GMP_DECLSPEC mp_limb_t mpn_add (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1466	#endif
1467
1468	#define mpn_add_1 __MPN(add_1)
1469	#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add_1)
1470	__GMP_DECLSPEC mp_limb_t mpn_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
1471	#endif
1472
1473	#define mpn_add_n __MPN(add_n)
1474	__GMP_DECLSPEC mp_limb_t mpn_add_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1475
1476	#define mpn_addmul_1 __MPN(addmul_1)
1477	__GMP_DECLSPEC mp_limb_t mpn_addmul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1478
1479	#define mpn_cmp __MPN(cmp)
1480	#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_cmp)
1481	__GMP_DECLSPEC int mpn_cmp (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1482	#endif
1483
1484	#define mpn_zero_p __MPN(zero_p)
1485	#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_zero_p)
1486	__GMP_DECLSPEC int mpn_zero_p (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1487	#endif
1488
1489	#define mpn_divexact_1 __MPN(divexact_1)
1490	__GMP_DECLSPEC void mpn_divexact_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1491
1492	#define mpn_divexact_by3(dst,src,size) \
1493	mpn_divexact_by3c (dst, src, size, __GMP_CAST (mp_limb_t, 0))
1494
1495	#define mpn_divexact_by3c __MPN(divexact_by3c)
1496	__GMP_DECLSPEC mp_limb_t mpn_divexact_by3c (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1497
1498	#define mpn_divmod_1(qp,np,nsize,dlimb) \
1499	mpn_divrem_1 (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dlimb)
1500
1501	#define mpn_divrem __MPN(divrem)
1502	__GMP_DECLSPEC mp_limb_t mpn_divrem (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t);
1503
1504	#define mpn_divrem_1 __MPN(divrem_1)
1505	__GMP_DECLSPEC mp_limb_t mpn_divrem_1 (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t);
1506
1507	#define mpn_divrem_2 __MPN(divrem_2)
1508	__GMP_DECLSPEC mp_limb_t mpn_divrem_2 (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr);
1509
1510	#define mpn_div_qr_1 __MPN(div_qr_1)
1511	__GMP_DECLSPEC mp_limb_t mpn_div_qr_1 (mp_ptr, mp_limb_t *, mp_srcptr, mp_size_t, mp_limb_t);
1512
1513	#define mpn_div_qr_2 __MPN(div_qr_2)
1514	__GMP_DECLSPEC mp_limb_t mpn_div_qr_2 (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
1515
1516	#define mpn_gcd __MPN(gcd)
1517	__GMP_DECLSPEC mp_size_t mpn_gcd (mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
1518
1519	#define mpn_gcd_11 __MPN(gcd_11)
1520	__GMP_DECLSPEC mp_limb_t mpn_gcd_11 (mp_limb_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1521
1522	#define mpn_gcd_1 __MPN(gcd_1)
1523	__GMP_DECLSPEC mp_limb_t mpn_gcd_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1524
1525	#define mpn_gcdext_1 __MPN(gcdext_1)
1526	__GMP_DECLSPEC mp_limb_t mpn_gcdext_1 (mp_limb_signed_t *, mp_limb_signed_t *, mp_limb_t, mp_limb_t);
1527
1528	#define mpn_gcdext __MPN(gcdext)
1529	__GMP_DECLSPEC mp_size_t mpn_gcdext (mp_ptr, mp_ptr, mp_size_t *, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
1530
1531	#define mpn_get_str __MPN(get_str)
1532	__GMP_DECLSPEC size_t mpn_get_str (unsigned char *, int, mp_ptr, mp_size_t);
1533
1534	#define mpn_hamdist __MPN(hamdist)
1535	__GMP_DECLSPEC mp_bitcnt_t mpn_hamdist (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1536
1537	#define mpn_lshift __MPN(lshift)
1538	__GMP_DECLSPEC mp_limb_t mpn_lshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
1539
1540	#define mpn_mod_1 __MPN(mod_1)
1541	__GMP_DECLSPEC mp_limb_t mpn_mod_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1542
1543	#define mpn_mul __MPN(mul)
1544	__GMP_DECLSPEC mp_limb_t mpn_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1545
1546	#define mpn_mul_1 __MPN(mul_1)
1547	__GMP_DECLSPEC mp_limb_t mpn_mul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1548
1549	#define mpn_mul_n __MPN(mul_n)
1550	__GMP_DECLSPEC void mpn_mul_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1551
1552	#define mpn_sqr __MPN(sqr)
1553	__GMP_DECLSPEC void mpn_sqr (mp_ptr, mp_srcptr, mp_size_t);
1554
1555	#define mpn_neg __MPN(neg)
1556	#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_neg)
1557	__GMP_DECLSPEC mp_limb_t mpn_neg (mp_ptr, mp_srcptr, mp_size_t);
1558	#endif
1559
1560	#define mpn_com __MPN(com)
1561	__GMP_DECLSPEC void mpn_com (mp_ptr, mp_srcptr, mp_size_t);
1562
1563	#define mpn_perfect_square_p __MPN(perfect_square_p)
1564	__GMP_DECLSPEC int mpn_perfect_square_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
1565
1566	#define mpn_perfect_power_p __MPN(perfect_power_p)
1567	__GMP_DECLSPEC int mpn_perfect_power_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
1568
1569	#define mpn_popcount __MPN(popcount)
1570	__GMP_DECLSPEC mp_bitcnt_t mpn_popcount (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1571
1572	#define mpn_pow_1 __MPN(pow_1)
1573	__GMP_DECLSPEC mp_size_t mpn_pow_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
1574
1575	/* undocumented now, but retained here for upward compatibility */
1576	#define mpn_preinv_mod_1 __MPN(preinv_mod_1)
1577	__GMP_DECLSPEC mp_limb_t mpn_preinv_mod_1 (mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1578
1579	#define mpn_random __MPN(random)
1580	__GMP_DECLSPEC void mpn_random (mp_ptr, mp_size_t);
1581
1582	#define mpn_random2 __MPN(random2)
1583	__GMP_DECLSPEC void mpn_random2 (mp_ptr, mp_size_t);
1584
1585	#define mpn_rshift __MPN(rshift)
1586	__GMP_DECLSPEC mp_limb_t mpn_rshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
1587
1588	#define mpn_scan0 __MPN(scan0)
1589	__GMP_DECLSPEC mp_bitcnt_t mpn_scan0 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
1590
1591	#define mpn_scan1 __MPN(scan1)
1592	__GMP_DECLSPEC mp_bitcnt_t mpn_scan1 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
1593
1594	#define mpn_set_str __MPN(set_str)
1595	__GMP_DECLSPEC mp_size_t mpn_set_str (mp_ptr, const unsigned char *, size_t, int);
1596
1597	#define mpn_sizeinbase __MPN(sizeinbase)
1598	__GMP_DECLSPEC size_t mpn_sizeinbase (mp_srcptr, mp_size_t, int);
1599
1600	#define mpn_sqrtrem __MPN(sqrtrem)
1601	__GMP_DECLSPEC mp_size_t mpn_sqrtrem (mp_ptr, mp_ptr, mp_srcptr, mp_size_t);
1602
1603	#define mpn_sub __MPN(sub)
1604	#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub)
1605	__GMP_DECLSPEC mp_limb_t mpn_sub (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1606	#endif
1607
1608	#define mpn_sub_1 __MPN(sub_1)
1609	#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub_1)
1610	__GMP_DECLSPEC mp_limb_t mpn_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
1611	#endif
1612
1613	#define mpn_sub_n __MPN(sub_n)
1614	__GMP_DECLSPEC mp_limb_t mpn_sub_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1615
1616	#define mpn_submul_1 __MPN(submul_1)
1617	__GMP_DECLSPEC mp_limb_t mpn_submul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1618
1619	#define mpn_tdiv_qr __MPN(tdiv_qr)
1620	__GMP_DECLSPEC void mpn_tdiv_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1621
1622	#define mpn_and_n __MPN(and_n)
1623	__GMP_DECLSPEC void mpn_and_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1624	#define mpn_andn_n __MPN(andn_n)
1625	__GMP_DECLSPEC void mpn_andn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1626	#define mpn_nand_n __MPN(nand_n)
1627	__GMP_DECLSPEC void mpn_nand_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1628	#define mpn_ior_n __MPN(ior_n)
1629	__GMP_DECLSPEC void mpn_ior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1630	#define mpn_iorn_n __MPN(iorn_n)
1631	__GMP_DECLSPEC void mpn_iorn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1632	#define mpn_nior_n __MPN(nior_n)
1633	__GMP_DECLSPEC void mpn_nior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1634	#define mpn_xor_n __MPN(xor_n)
1635	__GMP_DECLSPEC void mpn_xor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1636	#define mpn_xnor_n __MPN(xnor_n)
1637	__GMP_DECLSPEC void mpn_xnor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1638
1639	#define mpn_copyi __MPN(copyi)
1640	__GMP_DECLSPEC void mpn_copyi (mp_ptr, mp_srcptr, mp_size_t);
1641	#define mpn_copyd __MPN(copyd)
1642	__GMP_DECLSPEC void mpn_copyd (mp_ptr, mp_srcptr, mp_size_t);
1643	#define mpn_zero __MPN(zero)
1644	__GMP_DECLSPEC void mpn_zero (mp_ptr, mp_size_t);
1645
1646	#define mpn_cnd_add_n __MPN(cnd_add_n)
1647	__GMP_DECLSPEC mp_limb_t mpn_cnd_add_n (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1648	#define mpn_cnd_sub_n __MPN(cnd_sub_n)
1649	__GMP_DECLSPEC mp_limb_t mpn_cnd_sub_n (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1650
1651	#define mpn_sec_add_1 __MPN(sec_add_1)
1652	__GMP_DECLSPEC mp_limb_t mpn_sec_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
1653	#define mpn_sec_add_1_itch __MPN(sec_add_1_itch)
1654	__GMP_DECLSPEC mp_size_t mpn_sec_add_1_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
1655
1656	#define mpn_sec_sub_1 __MPN(sec_sub_1)
1657	__GMP_DECLSPEC mp_limb_t mpn_sec_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
1658	#define mpn_sec_sub_1_itch __MPN(sec_sub_1_itch)
1659	__GMP_DECLSPEC mp_size_t mpn_sec_sub_1_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
1660
1661	#define mpn_cnd_swap __MPN(cnd_swap)
1662	__GMP_DECLSPEC void mpn_cnd_swap (mp_limb_t, volatile mp_limb_t *, volatile mp_limb_t *, mp_size_t);
1663
1664	#define mpn_sec_mul __MPN(sec_mul)
1665	__GMP_DECLSPEC void mpn_sec_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
1666	#define mpn_sec_mul_itch __MPN(sec_mul_itch)
1667	__GMP_DECLSPEC mp_size_t mpn_sec_mul_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
1668
1669	#define mpn_sec_sqr __MPN(sec_sqr)
1670	__GMP_DECLSPEC void mpn_sec_sqr (mp_ptr, mp_srcptr, mp_size_t, mp_ptr);
1671	#define mpn_sec_sqr_itch __MPN(sec_sqr_itch)
1672	__GMP_DECLSPEC mp_size_t mpn_sec_sqr_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
1673
1674	#define mpn_sec_powm __MPN(sec_powm)
1675	__GMP_DECLSPEC void mpn_sec_powm (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_bitcnt_t, mp_srcptr, mp_size_t, mp_ptr);
1676	#define mpn_sec_powm_itch __MPN(sec_powm_itch)
1677	__GMP_DECLSPEC mp_size_t mpn_sec_powm_itch (mp_size_t, mp_bitcnt_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
1678
1679	#define mpn_sec_tabselect __MPN(sec_tabselect)
1680	__GMP_DECLSPEC void mpn_sec_tabselect (volatile mp_limb_t *, volatile const mp_limb_t *, mp_size_t, mp_size_t, mp_size_t);
1681
1682	#define mpn_sec_div_qr __MPN(sec_div_qr)
1683	__GMP_DECLSPEC mp_limb_t mpn_sec_div_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
1684	#define mpn_sec_div_qr_itch __MPN(sec_div_qr_itch)
1685	__GMP_DECLSPEC mp_size_t mpn_sec_div_qr_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
1686	#define mpn_sec_div_r __MPN(sec_div_r)
1687	__GMP_DECLSPEC void mpn_sec_div_r (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
1688	#define mpn_sec_div_r_itch __MPN(sec_div_r_itch)
1689	__GMP_DECLSPEC mp_size_t mpn_sec_div_r_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
1690
1691	#define mpn_sec_invert __MPN(sec_invert)
1692	__GMP_DECLSPEC int mpn_sec_invert (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_bitcnt_t, mp_ptr);
1693	#define mpn_sec_invert_itch __MPN(sec_invert_itch)
1694	__GMP_DECLSPEC mp_size_t mpn_sec_invert_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
1695
1696
1697	/**************** mpz inlines ****************/
1698
1699	/* The following are provided as inlines where possible, but always exist as
1700	library functions too, for binary compatibility.
1701
1702	Within gmp itself this inlining generally isn't relied on, since it
1703	doesn't get done for all compilers, whereas if something is worth
1704	inlining then it's worth arranging always.
1705
1706	There are two styles of inlining here. When the same bit of code is
1707	wanted for the inline as for the library version, then __GMP_FORCE_foo
1708	arranges for that code to be emitted and the __GMP_EXTERN_INLINE
1709	directive suppressed, eg. mpz_fits_uint_p. When a different bit of code
1710	is wanted for the inline than for the library version, then
1711	__GMP_FORCE_foo arranges the inline to be suppressed, eg. mpz_abs. */
1712
1713	#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_abs)
1714	__GMP_EXTERN_INLINE void
1715	mpz_abs (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1716	{
1717	if (__gmp_w != __gmp_u)
1718	mpz_set (__gmp_w, __gmp_u);
1719	__gmp_w->_mp_size = __GMP_ABS (__gmp_w->_mp_size);
1720	}
1721	#endif
1722
1723	#if GMP_NAIL_BITS == 0
1724	#define __GMPZ_FITS_UTYPE_P(z,maxval) \
1725	mp_size_t __gmp_n = z->_mp_size; \
1726	mp_ptr __gmp_p = z->_mp_d; \
1727	return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval));
1728	#else
1729	#define __GMPZ_FITS_UTYPE_P(z,maxval) \
1730	mp_size_t __gmp_n = z->_mp_size; \
1731	mp_ptr __gmp_p = z->_mp_d; \
1732	return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval) \
1733	|| (__gmp_n == 2 && __gmp_p[1] <= ((mp_limb_t) maxval >> GMP_NUMB_BITS)));
1734	#endif
1735
1736	#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_uint_p)
1737	#if ! defined (__GMP_FORCE_mpz_fits_uint_p)
1738	__GMP_EXTERN_INLINE
1739	#endif
1740	int
1741	mpz_fits_uint_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1742	{
1743	__GMPZ_FITS_UTYPE_P (__gmp_z, UINT_MAX);
1744	}
1745	#endif
1746
1747	#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ulong_p)
1748	#if ! defined (__GMP_FORCE_mpz_fits_ulong_p)
1749	__GMP_EXTERN_INLINE
1750	#endif
1751	int
1752	mpz_fits_ulong_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1753	{
1754	__GMPZ_FITS_UTYPE_P (__gmp_z, ULONG_MAX);
1755	}
1756	#endif
1757
1758	#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ushort_p)
1759	#if ! defined (__GMP_FORCE_mpz_fits_ushort_p)
1760	__GMP_EXTERN_INLINE
1761	#endif
1762	int
1763	mpz_fits_ushort_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1764	{
1765	__GMPZ_FITS_UTYPE_P (__gmp_z, USHRT_MAX);
1766	}
1767	#endif
1768
1769	#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_get_ui)
1770	#if ! defined (__GMP_FORCE_mpz_get_ui)
1771	__GMP_EXTERN_INLINE
1772	#endif
1773	unsigned long
1774	mpz_get_ui (mpz_srcptr __gmp_z) __GMP_NOTHROW
1775	{
1776	mp_ptr __gmp_p = __gmp_z->_mp_d;
1777	mp_size_t __gmp_n = __gmp_z->_mp_size;
1778	mp_limb_t __gmp_l = __gmp_p[0];
1779	/* This is a "#if" rather than a plain "if" so as to avoid gcc warnings
1780	about "<< GMP_NUMB_BITS" exceeding the type size, and to avoid Borland
1781	C++ 6.0 warnings about condition always true for something like
1782	"ULONG_MAX < GMP_NUMB_MASK". */
1783	#if GMP_NAIL_BITS == 0 || defined (_LONG_LONG_LIMB)
1784	/* limb==long and no nails, or limb==longlong, one limb is enough */
1785	return (__gmp_n != 0 ? __gmp_l : 0);
1786	#else
1787	/* limb==long and nails, need two limbs when available */
1788	__gmp_n = __GMP_ABS (__gmp_n);
1789	if (__gmp_n <= 1)
1790	return (__gmp_n != 0 ? __gmp_l : 0);
1791	else
1792	return __gmp_l + (__gmp_p[1] << GMP_NUMB_BITS);
1793	#endif
1794	}
1795	#endif
1796
1797	#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_getlimbn)
1798	#if ! defined (__GMP_FORCE_mpz_getlimbn)
1799	__GMP_EXTERN_INLINE
1800	#endif
1801	mp_limb_t
1802	mpz_getlimbn (mpz_srcptr __gmp_z, mp_size_t __gmp_n) __GMP_NOTHROW
1803	{
1804	mp_limb_t __gmp_result = 0;
1805	if (__GMP_LIKELY (__gmp_n >= 0 && __gmp_n < __GMP_ABS (__gmp_z->_mp_size)))
1806	__gmp_result = __gmp_z->_mp_d[__gmp_n];
1807	return __gmp_result;
1808	}
1809	#endif
1810
1811	#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_neg)
1812	__GMP_EXTERN_INLINE void
1813	mpz_neg (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1814	{
1815	if (__gmp_w != __gmp_u)
1816	mpz_set (__gmp_w, __gmp_u);
1817	__gmp_w->_mp_size = - __gmp_w->_mp_size;
1818	}
1819	#endif
1820
1821	#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_perfect_square_p)
1822	#if ! defined (__GMP_FORCE_mpz_perfect_square_p)
1823	__GMP_EXTERN_INLINE
1824	#endif
1825	int
1826	mpz_perfect_square_p (mpz_srcptr __gmp_a)
1827	{
1828	mp_size_t __gmp_asize;
1829	int __gmp_result;
1830
1831	__gmp_asize = __gmp_a->_mp_size;
1832	__gmp_result = (__gmp_asize >= 0); /* zero is a square, negatives are not */
1833	if (__GMP_LIKELY (__gmp_asize > 0))
1834	__gmp_result = mpn_perfect_square_p (__gmp_a->_mp_d, __gmp_asize);
1835	return __gmp_result;
1836	}
1837	#endif
1838
1839	#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_popcount)
1840	#if ! defined (__GMP_FORCE_mpz_popcount)
1841	__GMP_EXTERN_INLINE
1842	#endif
1843	mp_bitcnt_t
1844	mpz_popcount (mpz_srcptr __gmp_u) __GMP_NOTHROW
1845	{
1846	mp_size_t __gmp_usize;
1847	mp_bitcnt_t __gmp_result;
1848
1849	__gmp_usize = __gmp_u->_mp_size;
1850	__gmp_result = (__gmp_usize < 0 ? ~ __GMP_CAST (mp_bitcnt_t, 0) : __GMP_CAST (mp_bitcnt_t, 0));
1851	if (__GMP_LIKELY (__gmp_usize > 0))
1852	__gmp_result = mpn_popcount (__gmp_u->_mp_d, __gmp_usize);
1853	return __gmp_result;
1854	}
1855	#endif
1856
1857	#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_set_q)
1858	#if ! defined (__GMP_FORCE_mpz_set_q)
1859	__GMP_EXTERN_INLINE
1860	#endif
1861	void
1862	mpz_set_q (mpz_ptr __gmp_w, mpq_srcptr __gmp_u)
1863	{
1864	mpz_tdiv_q (__gmp_w, mpq_numref (__gmp_u), mpq_denref (__gmp_u));
1865	}
1866	#endif
1867
1868	#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_size)
1869	#if ! defined (__GMP_FORCE_mpz_size)
1870	__GMP_EXTERN_INLINE
1871	#endif
1872	size_t
1873	mpz_size (mpz_srcptr __gmp_z) __GMP_NOTHROW
1874	{
1875	return __GMP_ABS (__gmp_z->_mp_size);
1876	}
1877	#endif
1878
1879
1880	/**************** mpq inlines ****************/
1881
1882	#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_abs)
1883	__GMP_EXTERN_INLINE void
1884	mpq_abs (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1885	{
1886	if (__gmp_w != __gmp_u)
1887	mpq_set (__gmp_w, __gmp_u);
1888	__gmp_w->_mp_num._mp_size = __GMP_ABS (__gmp_w->_mp_num._mp_size);
1889	}
1890	#endif
1891
1892	#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_neg)
1893	__GMP_EXTERN_INLINE void
1894	mpq_neg (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1895	{
1896	if (__gmp_w != __gmp_u)
1897	mpq_set (__gmp_w, __gmp_u);
1898	__gmp_w->_mp_num._mp_size = - __gmp_w->_mp_num._mp_size;
1899	}
1900	#endif
1901
1902
1903	/**************** mpn inlines ****************/
1904
1905	/* The comments with __GMPN_ADD_1 below apply here too.
1906
1907	The test for FUNCTION returning 0 should predict well. If it's assumed
1908	{yp,ysize} will usually have a random number of bits then the high limb
1909	won't be full and a carry out will occur a good deal less than 50% of the
1910	time.
1911
1912	ysize==0 isn't a documented feature, but is used internally in a few
1913	places.
1914
1915	Producing cout last stops it using up a register during the main part of
1916	the calculation, though gcc (as of 3.0) on an "if (mpn_add (...))"
1917	doesn't seem able to move the true and false legs of the conditional up
1918	to the two places cout is generated. */
1919
1920	#define __GMPN_AORS(cout, wp, xp, xsize, yp, ysize, FUNCTION, TEST) \
1921	do { \
1922	mp_size_t __gmp_i; \
1923	mp_limb_t __gmp_x; \
1924	\
1925	/* ASSERT ((ysize) >= 0); */ \
1926	/* ASSERT ((xsize) >= (ysize)); */ \
1927	/* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, xp, xsize)); */ \
1928	/* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, yp, ysize)); */ \
1929	\
1930	__gmp_i = (ysize); \
1931	if (__gmp_i != 0) \
1932	{ \
1933	if (FUNCTION (wp, xp, yp, __gmp_i)) \
1934	{ \
1935	do \
1936	{ \
1937	if (__gmp_i >= (xsize)) \
1938	{ \
1939	(cout) = 1; \
1940	goto __gmp_done; \
1941	} \
1942	__gmp_x = (xp)[__gmp_i]; \
1943	} \
1944	while (TEST); \
1945	} \
1946	} \
1947	if ((wp) != (xp)) \
1948	__GMPN_COPY_REST (wp, xp, xsize, __gmp_i); \
1949	(cout) = 0; \
1950	__gmp_done: \
1951	; \
1952	} while (0)
1953
1954	#define __GMPN_ADD(cout, wp, xp, xsize, yp, ysize) \
1955	__GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_add_n, \
1956	(((wp)[__gmp_i++] = (__gmp_x + 1) & GMP_NUMB_MASK) == 0))
1957	#define __GMPN_SUB(cout, wp, xp, xsize, yp, ysize) \
1958	__GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_sub_n, \
1959	(((wp)[__gmp_i++] = (__gmp_x - 1) & GMP_NUMB_MASK), __gmp_x == 0))
1960
1961
1962	/* The use of __gmp_i indexing is designed to ensure a compile time src==dst
1963	remains nice and clear to the compiler, so that __GMPN_COPY_REST can
1964	disappear, and the load/add/store gets a chance to become a
1965	read-modify-write on CISC CPUs.
1966
1967	Alternatives:
1968
1969	Using a pair of pointers instead of indexing would be possible, but gcc
1970	isn't able to recognise compile-time src==dst in that case, even when the
1971	pointers are incremented more or less together. Other compilers would
1972	very likely have similar difficulty.
1973
1974	gcc could use "if (__builtin_constant_p(src==dst) && src==dst)" or
1975	similar to detect a compile-time src==dst. This works nicely on gcc
1976	2.95.x, it's not good on gcc 3.0 where __builtin_constant_p(p==p) seems
1977	to be always false, for a pointer p. But the current code form seems
1978	good enough for src==dst anyway.
1979
1980	gcc on x86 as usual doesn't give particularly good flags handling for the
1981	carry/borrow detection. It's tempting to want some multi instruction asm
1982	blocks to help it, and this was tried, but in truth there's only a few
1983	instructions to save and any gain is all too easily lost by register
1984	juggling setting up for the asm. */
1985
1986	#if GMP_NAIL_BITS == 0
1987	#define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB) \
1988	do { \
1989	mp_size_t __gmp_i; \
1990	mp_limb_t __gmp_x, __gmp_r; \
1991	\
1992	/* ASSERT ((n) >= 1); */ \
1993	/* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */ \
1994	\
1995	__gmp_x = (src)[0]; \
1996	__gmp_r = __gmp_x OP (v); \
1997	(dst)[0] = __gmp_r; \
1998	if (CB (__gmp_r, __gmp_x, (v))) \
1999	{ \
2000	(cout) = 1; \
2001	for (__gmp_i = 1; __gmp_i < (n);) \
2002	{ \
2003	__gmp_x = (src)[__gmp_i]; \
2004	__gmp_r = __gmp_x OP 1; \
2005	(dst)[__gmp_i] = __gmp_r; \
2006	++__gmp_i; \
2007	if (!CB (__gmp_r, __gmp_x, 1)) \
2008	{ \
2009	if ((src) != (dst)) \
2010	__GMPN_COPY_REST (dst, src, n, __gmp_i); \
2011	(cout) = 0; \
2012	break; \
2013	} \
2014	} \
2015	} \
2016	else \
2017	{ \
2018	if ((src) != (dst)) \
2019	__GMPN_COPY_REST (dst, src, n, 1); \
2020	(cout) = 0; \
2021	} \
2022	} while (0)
2023	#endif
2024
2025	#if GMP_NAIL_BITS >= 1
2026	#define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB) \
2027	do { \
2028	mp_size_t __gmp_i; \
2029	mp_limb_t __gmp_x, __gmp_r; \
2030	\
2031	/* ASSERT ((n) >= 1); */ \
2032	/* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */ \
2033	\
2034	__gmp_x = (src)[0]; \
2035	__gmp_r = __gmp_x OP (v); \
2036	(dst)[0] = __gmp_r & GMP_NUMB_MASK; \
2037	if (__gmp_r >> GMP_NUMB_BITS != 0) \
2038	{ \
2039	(cout) = 1; \
2040	for (__gmp_i = 1; __gmp_i < (n);) \
2041	{ \
2042	__gmp_x = (src)[__gmp_i]; \
2043	__gmp_r = __gmp_x OP 1; \
2044	(dst)[__gmp_i] = __gmp_r & GMP_NUMB_MASK; \
2045	++__gmp_i; \
2046	if (__gmp_r >> GMP_NUMB_BITS == 0) \
2047	{ \
2048	if ((src) != (dst)) \
2049	__GMPN_COPY_REST (dst, src, n, __gmp_i); \
2050	(cout) = 0; \
2051	break; \
2052	} \
2053	} \
2054	} \
2055	else \
2056	{ \
2057	if ((src) != (dst)) \
2058	__GMPN_COPY_REST (dst, src, n, 1); \
2059	(cout) = 0; \
2060	} \
2061	} while (0)
2062	#endif
2063
2064	#define __GMPN_ADDCB(r,x,y) ((r) < (y))
2065	#define __GMPN_SUBCB(r,x,y) ((x) < (y))
2066
2067	#define __GMPN_ADD_1(cout, dst, src, n, v) \
2068	__GMPN_AORS_1(cout, dst, src, n, v, +, __GMPN_ADDCB)
2069	#define __GMPN_SUB_1(cout, dst, src, n, v) \
2070	__GMPN_AORS_1(cout, dst, src, n, v, -, __GMPN_SUBCB)
2071
2072
2073	/* Compare {xp,size} and {yp,size}, setting "result" to positive, zero or
2074	negative. size==0 is allowed. On random data usually only one limb will
2075	need to be examined to get a result, so it's worth having it inline. */
2076	#define __GMPN_CMP(result, xp, yp, size) \
2077	do { \
2078	mp_size_t __gmp_i; \
2079	mp_limb_t __gmp_x, __gmp_y; \
2080	\
2081	/* ASSERT ((size) >= 0); */ \
2082	\
2083	(result) = 0; \
2084	__gmp_i = (size); \
2085	while (--__gmp_i >= 0) \
2086	{ \
2087	__gmp_x = (xp)[__gmp_i]; \
2088	__gmp_y = (yp)[__gmp_i]; \
2089	if (__gmp_x != __gmp_y) \
2090	{ \
2091	/* Cannot use __gmp_x - __gmp_y, may overflow an "int" */ \
2092	(result) = (__gmp_x > __gmp_y ? 1 : -1); \
2093	break; \
2094	} \
2095	} \
2096	} while (0)
2097
2098
2099	#if defined (__GMPN_COPY) && ! defined (__GMPN_COPY_REST)
2100	#define __GMPN_COPY_REST(dst, src, size, start) \
2101	do { \
2102	/* ASSERT ((start) >= 0); */ \
2103	/* ASSERT ((start) <= (size)); */ \
2104	__GMPN_COPY ((dst)+(start), (src)+(start), (size)-(start)); \
2105	} while (0)
2106	#endif
2107
2108	/* Copy {src,size} to {dst,size}, starting at "start". This is designed to
2109	keep the indexing dst[j] and src[j] nice and simple for __GMPN_ADD_1,
2110	__GMPN_ADD, etc. */
2111	#if ! defined (__GMPN_COPY_REST)
2112	#define __GMPN_COPY_REST(dst, src, size, start) \
2113	do { \
2114	mp_size_t __gmp_j; \
2115	/* ASSERT ((size) >= 0); */ \
2116	/* ASSERT ((start) >= 0); */ \
2117	/* ASSERT ((start) <= (size)); */ \
2118	/* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */ \
2119	__GMP_CRAY_Pragma ("_CRI ivdep"); \
2120	for (__gmp_j = (start); __gmp_j < (size); __gmp_j++) \
2121	(dst)[__gmp_j] = (src)[__gmp_j]; \
2122	} while (0)
2123	#endif
2124
2125	/* Enhancement: Use some of the smarter code from gmp-impl.h. Maybe use
2126	mpn_copyi if there's a native version, and if we don't mind demanding
2127	binary compatibility for it (on targets which use it). */
2128
2129	#if ! defined (__GMPN_COPY)
2130	#define __GMPN_COPY(dst, src, size) __GMPN_COPY_REST (dst, src, size, 0)
2131	#endif
2132
2133
2134	#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add)
2135	#if ! defined (__GMP_FORCE_mpn_add)
2136	__GMP_EXTERN_INLINE
2137	#endif
2138	mp_limb_t
2139	mpn_add (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2140	{
2141	mp_limb_t __gmp_c;
2142	__GMPN_ADD (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2143	return __gmp_c;
2144	}
2145	#endif
2146
2147	#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add_1)
2148	#if ! defined (__GMP_FORCE_mpn_add_1)
2149	__GMP_EXTERN_INLINE
2150	#endif
2151	mp_limb_t
2152	mpn_add_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2153	{
2154	mp_limb_t __gmp_c;
2155	__GMPN_ADD_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2156	return __gmp_c;
2157	}
2158	#endif
2159
2160	#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_cmp)
2161	#if ! defined (__GMP_FORCE_mpn_cmp)
2162	__GMP_EXTERN_INLINE
2163	#endif
2164	int
2165	mpn_cmp (mp_srcptr __gmp_xp, mp_srcptr __gmp_yp, mp_size_t __gmp_size) __GMP_NOTHROW
2166	{
2167	int __gmp_result;
2168	__GMPN_CMP (__gmp_result, __gmp_xp, __gmp_yp, __gmp_size);
2169	return __gmp_result;
2170	}
2171	#endif
2172
2173	#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_zero_p)
2174	#if ! defined (__GMP_FORCE_mpn_zero_p)
2175	__GMP_EXTERN_INLINE
2176	#endif
2177	int
2178	mpn_zero_p (mp_srcptr __gmp_p, mp_size_t __gmp_n) __GMP_NOTHROW
2179	{
2180	/* if (__GMP_LIKELY (__gmp_n > 0)) */
2181	do {
2182	if (__gmp_p[--__gmp_n] != 0)
2183	return 0;
2184	} while (__gmp_n != 0);
2185	return 1;
2186	}
2187	#endif
2188
2189	#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub)
2190	#if ! defined (__GMP_FORCE_mpn_sub)
2191	__GMP_EXTERN_INLINE
2192	#endif
2193	mp_limb_t
2194	mpn_sub (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2195	{
2196	mp_limb_t __gmp_c;
2197	__GMPN_SUB (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2198	return __gmp_c;
2199	}
2200	#endif
2201
2202	#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub_1)
2203	#if ! defined (__GMP_FORCE_mpn_sub_1)
2204	__GMP_EXTERN_INLINE
2205	#endif
2206	mp_limb_t
2207	mpn_sub_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2208	{
2209	mp_limb_t __gmp_c;
2210	__GMPN_SUB_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2211	return __gmp_c;
2212	}
2213	#endif
2214
2215	#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_neg)
2216	#if ! defined (__GMP_FORCE_mpn_neg)
2217	__GMP_EXTERN_INLINE
2218	#endif
2219	mp_limb_t
2220	mpn_neg (mp_ptr __gmp_rp, mp_srcptr __gmp_up, mp_size_t __gmp_n)
2221	{
2222	while (*__gmp_up == 0) /* Low zero limbs are unchanged by negation. */
2223	{
2224	*__gmp_rp = 0;
2225	if (!--__gmp_n) /* All zero */
2226	return 0;
2227	++__gmp_up; ++__gmp_rp;
2228	}
2229
2230	*__gmp_rp = (- *__gmp_up) & GMP_NUMB_MASK;
2231
2232	if (--__gmp_n) /* Higher limbs get complemented. */
2233	mpn_com (++__gmp_rp, ++__gmp_up, __gmp_n);
2234
2235	return 1;
2236	}
2237	#endif
2238
2239	#if defined (__cplusplus)
2240	}
2241	#endif
2242
2243
2244	/* Allow faster testing for negative, zero, and positive. */
2245	#define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0)
2246	#define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0)
2247	#define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0)
2248
2249	/* When using GCC, optimize certain common comparisons. */
2250	#if defined (__GNUC__) && __GNUC__ >= 2
2251	#define mpz_cmp_ui(Z,UI) \
2252	(__builtin_constant_p (UI) && (UI) == 0 \
2253	? mpz_sgn (Z) : _mpz_cmp_ui (Z,UI))
2254	#define mpz_cmp_si(Z,SI) \
2255	(__builtin_constant_p ((SI) >= 0) && (SI) >= 0 \
2256	? mpz_cmp_ui (Z, __GMP_CAST (unsigned long, SI)) \
2257	: _mpz_cmp_si (Z,SI))
2258	#define mpq_cmp_ui(Q,NUI,DUI) \
2259	(__builtin_constant_p (NUI) && (NUI) == 0 ? mpq_sgn (Q) \
2260	: __builtin_constant_p ((NUI) == (DUI)) && (NUI) == (DUI) \
2261	? mpz_cmp (mpq_numref (Q), mpq_denref (Q)) \
2262	: _mpq_cmp_ui (Q,NUI,DUI))
2263	#define mpq_cmp_si(q,n,d) \
2264	(__builtin_constant_p ((n) >= 0) && (n) >= 0 \
2265	? mpq_cmp_ui (q, __GMP_CAST (unsigned long, n), d) \
2266	: _mpq_cmp_si (q, n, d))
2267	#else
2268	#define mpz_cmp_ui(Z,UI) _mpz_cmp_ui (Z,UI)
2269	#define mpz_cmp_si(Z,UI) _mpz_cmp_si (Z,UI)
2270	#define mpq_cmp_ui(Q,NUI,DUI) _mpq_cmp_ui (Q,NUI,DUI)
2271	#define mpq_cmp_si(q,n,d) _mpq_cmp_si(q,n,d)
2272	#endif
2273
2274
2275	/* Using "&" rather than "&&" means these can come out branch-free. Every
2276	mpz_t has at least one limb allocated, so fetching the low limb is always
2277	allowed. */
2278	#define mpz_odd_p(z) (((z)->_mp_size != 0) & __GMP_CAST (int, (z)->_mp_d[0]))
2279	#define mpz_even_p(z) (! mpz_odd_p (z))
2280
2281
2282	/**************** C++ routines ****************/
2283
2284	#ifdef __cplusplus
2285	__GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpz_srcptr);
2286	__GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpq_srcptr);
2287	__GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpf_srcptr);
2288	__GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpz_ptr);
2289	__GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpq_ptr);
2290	__GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpf_ptr);
2291	#endif
2292
2293
2294	/* Source-level compatibility with GMP 2 and earlier. */
2295	#define mpn_divmod(qp,np,nsize,dp,dsize) \
2296	mpn_divrem (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dp, dsize)
2297
2298	/* Source-level compatibility with GMP 1. */
2299	#define mpz_mdiv mpz_fdiv_q
2300	#define mpz_mdivmod mpz_fdiv_qr
2301	#define mpz_mmod mpz_fdiv_r
2302	#define mpz_mdiv_ui mpz_fdiv_q_ui
2303	#define mpz_mdivmod_ui(q,r,n,d) \
2304	(((r) == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d))
2305	#define mpz_mmod_ui(r,n,d) \
2306	(((r) == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d))
2307
2308	/* Useful synonyms, but not quite compatible with GMP 1. */
2309	#define mpz_div mpz_fdiv_q
2310	#define mpz_divmod mpz_fdiv_qr
2311	#define mpz_div_ui mpz_fdiv_q_ui
2312	#define mpz_divmod_ui mpz_fdiv_qr_ui
2313	#define mpz_div_2exp mpz_fdiv_q_2exp
2314	#define mpz_mod_2exp mpz_fdiv_r_2exp
2315
2316	enum
2317	{
2318	GMP_ERROR_NONE = 0,
2319	GMP_ERROR_UNSUPPORTED_ARGUMENT = 1,
2320	GMP_ERROR_DIVISION_BY_ZERO = 2,
2321	GMP_ERROR_SQRT_OF_NEGATIVE = 4,
2322	GMP_ERROR_INVALID_ARGUMENT = 8
2323	};
2324
2325	/* Define CC and CFLAGS which were used to build this version of GMP */
2326	#define __GMP_CC "x86_64-linux-gnu-gcc"
2327	#define __GMP_CFLAGS "-g -O2 -ffile-prefix-map=/build/gmp-Wr5pU1/gmp-6.2.1+dfsg=. -flto=auto -ffat-lto-objects -flto=auto -ffat-lto-objects -fstack-protector-strong -Wformat -Werror=format-security -O3"
2328
2329	/* Major version number is the value of __GNU_MP__ too, above. */
2330	#define __GNU_MP_VERSION 6
2331	#define __GNU_MP_VERSION_MINOR 2
2332	#define __GNU_MP_VERSION_PATCHLEVEL 1
2333	#define __GNU_MP_RELEASE (__GNU_MP_VERSION * 10000 + __GNU_MP_VERSION_MINOR * 100 + __GNU_MP_VERSION_PATCHLEVEL)
2334
2335	#define __GMP_H__
2336	#endif /* __GMP_H__ */
2337