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