xref: /netbsd-src/external/lgpl3/gmp/lib/libgmp/arch/mips64el/gmp.h (revision a5847cc334d9a7029f6352b847e9e8d71a0f9e0c)
1 /* Definitions for GNU multiple precision functions.   -*- mode: c -*-
2 
3 Copyright 1991, 1993, 1994, 1995, 1996, 1997, 1999, 2000, 2001, 2002, 2003,
4 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, Inc.
5 
6 This file is part of the GNU MP Library.
7 
8 The GNU MP Library is free software; you can redistribute it and/or modify
9 it under the terms of the GNU Lesser General Public License as published by
10 the Free Software Foundation; either version 3 of the License, or (at your
11 option) any later version.
12 
13 The GNU MP Library is distributed in the hope that it will be useful, but
14 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
15 or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
16 License for more details.
17 
18 You should have received a copy of the GNU Lesser General Public License
19 along with the GNU MP Library.  If not, see http://www.gnu.org/licenses/.  */
20 
21 #ifndef __GMP_H__
22 
23 #if defined (__cplusplus)
24 #include <iosfwd>   /* for std::istream, std::ostream, std::string */
25 #include <cstdio>
26 #endif
27 
28 
29 /* Instantiated by configure. */
30 #if ! defined (__GMP_WITHIN_CONFIGURE)
31 #define __GMP_HAVE_HOST_CPU_FAMILY_power   0
32 #define __GMP_HAVE_HOST_CPU_FAMILY_powerpc 0
33 #ifdef _ABI64
34 #define GMP_LIMB_BITS                      64
35 #else
36 #define GMP_LIMB_BITS                      32
37 #endif
38 #define GMP_NAIL_BITS                      0
39 #endif
40 #define GMP_NUMB_BITS     (GMP_LIMB_BITS - GMP_NAIL_BITS)
41 #define GMP_NUMB_MASK     ((~ __GMP_CAST (mp_limb_t, 0)) >> GMP_NAIL_BITS)
42 #define GMP_NUMB_MAX      GMP_NUMB_MASK
43 #define GMP_NAIL_MASK     (~ GMP_NUMB_MASK)
44 
45 
46 /* The following (everything under ifndef __GNU_MP__) must be identical in
47    gmp.h and mp.h to allow both to be included in an application or during
48    the library build.  */
49 #ifndef __GNU_MP__
50 #define __GNU_MP__ 5
51 
52 #define __need_size_t  /* tell gcc stddef.h we only want size_t */
53 #if defined (__cplusplus)
54 #include <cstddef>     /* for size_t */
55 #else
56 #include <stddef.h>    /* for size_t */
57 #endif
58 #undef __need_size_t
59 
60 /* Instantiated by configure. */
61 #if ! defined (__GMP_WITHIN_CONFIGURE)
62 #ifdef _LP64
63 #define _LONG_LONG_LIMB 1
64 #endif
65 #define __GMP_LIBGMP_DLL  0
66 #endif
67 
68 
69 /* __STDC__ - some ANSI compilers define this only to 0, hence the use of
70        "defined" and not "__STDC__-0".  In particular Sun workshop C 5.0
71        sets __STDC__ to 0, but requires "##" for token pasting.
72 
73    _AIX - gnu ansidecl.h asserts that all known AIX compilers are ANSI but
74        don't always define __STDC__.
75 
76    __DECC - current versions of DEC C (5.9 for instance) for alpha are ANSI,
77        but don't define __STDC__ in their default mode.  Don't know if old
78        versions might have been K&R, but let's not worry about that unless
79        someone is still using one.
80 
81    _mips - gnu ansidecl.h says the RISC/OS MIPS compiler is ANSI in SVR4
82        mode, but doesn't define __STDC__.
83 
84    _MSC_VER - Microsoft C is ANSI, but __STDC__ is undefined unless the /Za
85        option is given (in which case it's 1).
86 
87    _WIN32 - tested for by gnu ansidecl.h, no doubt on the assumption that
88       all w32 compilers are ansi.
89 
90    Note: This same set of tests is used by gen-psqr.c and
91    demos/expr/expr-impl.h, so if anything needs adding, then be sure to
92    update those too.  */
93 
94 #if  defined (__STDC__)                                 \
95   || defined (__cplusplus)                              \
96   || defined (_AIX)                                     \
97   || defined (__DECC)                                   \
98   || (defined (__mips) && defined (_SYSTYPE_SVR4))      \
99   || defined (_MSC_VER)                                 \
100   || defined (_WIN32)
101 #define __GMP_HAVE_CONST        1
102 #define __GMP_HAVE_PROTOTYPES   1
103 #define __GMP_HAVE_TOKEN_PASTE  1
104 #else
105 #define __GMP_HAVE_CONST        0
106 #define __GMP_HAVE_PROTOTYPES   0
107 #define __GMP_HAVE_TOKEN_PASTE  0
108 #endif
109 
110 
111 #if __GMP_HAVE_CONST
112 #define __gmp_const   const
113 #define __gmp_signed  signed
114 #else
115 #define __gmp_const
116 #define __gmp_signed
117 #endif
118 
119 
120 /* __GMP_DECLSPEC supports Windows DLL versions of libgmp, and is empty in
121    all other circumstances.
122 
123    When compiling objects for libgmp, __GMP_DECLSPEC is an export directive,
124    or when compiling for an application it's an import directive.  The two
125    cases are differentiated by __GMP_WITHIN_GMP defined by the GMP Makefiles
126    (and not defined from an application).
127 
128    __GMP_DECLSPEC_XX is similarly used for libgmpxx.  __GMP_WITHIN_GMPXX
129    indicates when building libgmpxx, and in that case libgmpxx functions are
130    exports, but libgmp functions which might get called are imports.
131 
132    libmp.la uses __GMP_DECLSPEC, just as if it were libgmp.la.  libgmp and
133    libmp don't call each other, so there's no conflict or confusion.
134 
135    Libtool DLL_EXPORT define is not used.
136 
137    There's no attempt to support GMP built both static and DLL.  Doing so
138    would mean applications would have to tell us which of the two is going
139    to be used when linking, and that seems very tedious and error prone if
140    using GMP by hand, and equally tedious from a package since autoconf and
141    automake don't give much help.
142 
143    __GMP_DECLSPEC is required on all documented global functions and
144    variables, the various internals in gmp-impl.h etc can be left unadorned.
145    But internals used by the test programs or speed measuring programs
146    should have __GMP_DECLSPEC, and certainly constants or variables must
147    have it or the wrong address will be resolved.
148 
149    In gcc __declspec can go at either the start or end of a prototype.
150 
151    In Microsoft C __declspec must go at the start, or after the type like
152    void __declspec(...) *foo()".  There's no __dllexport or anything to
153    guard against someone foolish #defining dllexport.  _export used to be
154    available, but no longer.
155 
156    In Borland C _export still exists, but needs to go after the type, like
157    "void _export foo();".  Would have to change the __GMP_DECLSPEC syntax to
158    make use of that.  Probably more trouble than it's worth.  */
159 
160 #if defined (__GNUC__)
161 #define __GMP_DECLSPEC_EXPORT  __declspec(__dllexport__)
162 #define __GMP_DECLSPEC_IMPORT  __declspec(__dllimport__)
163 #endif
164 #if defined (_MSC_VER) || defined (__BORLANDC__)
165 #define __GMP_DECLSPEC_EXPORT  __declspec(dllexport)
166 #define __GMP_DECLSPEC_IMPORT  __declspec(dllimport)
167 #endif
168 #ifdef __WATCOMC__
169 #define __GMP_DECLSPEC_EXPORT  __export
170 #define __GMP_DECLSPEC_IMPORT  __import
171 #endif
172 #ifdef __IBMC__
173 #define __GMP_DECLSPEC_EXPORT  _Export
174 #define __GMP_DECLSPEC_IMPORT  _Import
175 #endif
176 
177 #if __GMP_LIBGMP_DLL
178 #if __GMP_WITHIN_GMP
179 /* compiling to go into a DLL libgmp */
180 #define __GMP_DECLSPEC  __GMP_DECLSPEC_EXPORT
181 #else
182 /* compiling to go into an application which will link to a DLL libgmp */
183 #define __GMP_DECLSPEC  __GMP_DECLSPEC_IMPORT
184 #endif
185 #else
186 /* all other cases */
187 #define __GMP_DECLSPEC
188 #endif
189 
190 
191 #ifdef __GMP_SHORT_LIMB
192 typedef unsigned int		mp_limb_t;
193 typedef int			mp_limb_signed_t;
194 #else
195 #ifdef _LONG_LONG_LIMB
196 typedef unsigned long long int	mp_limb_t;
197 typedef long long int		mp_limb_signed_t;
198 #else
199 typedef unsigned long int	mp_limb_t;
200 typedef long int		mp_limb_signed_t;
201 #endif
202 #endif
203 typedef unsigned long int	mp_bitcnt_t;
204 
205 /* For reference, note that the name __mpz_struct gets into C++ mangled
206    function names, which means although the "__" suggests an internal, we
207    must leave this name for binary compatibility.  */
208 typedef struct
209 {
210   int _mp_alloc;		/* Number of *limbs* allocated and pointed
211 				   to by the _mp_d field.  */
212   int _mp_size;			/* abs(_mp_size) is the number of limbs the
213 				   last field points to.  If _mp_size is
214 				   negative this is a negative number.  */
215   mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
216 } __mpz_struct;
217 
218 #endif /* __GNU_MP__ */
219 
220 
221 typedef __mpz_struct MP_INT;    /* gmp 1 source compatibility */
222 typedef __mpz_struct mpz_t[1];
223 
224 typedef mp_limb_t *		mp_ptr;
225 typedef __gmp_const mp_limb_t *	mp_srcptr;
226 #if defined (_CRAY) && ! defined (_CRAYMPP)
227 /* plain `int' is much faster (48 bits) */
228 #define __GMP_MP_SIZE_T_INT     1
229 typedef int			mp_size_t;
230 typedef int			mp_exp_t;
231 #else
232 #define __GMP_MP_SIZE_T_INT     0
233 typedef long int		mp_size_t;
234 typedef long int		mp_exp_t;
235 #endif
236 
237 typedef struct
238 {
239   __mpz_struct _mp_num;
240   __mpz_struct _mp_den;
241 } __mpq_struct;
242 
243 typedef __mpq_struct MP_RAT;    /* gmp 1 source compatibility */
244 typedef __mpq_struct mpq_t[1];
245 
246 typedef struct
247 {
248   int _mp_prec;			/* Max precision, in number of `mp_limb_t's.
249 				   Set by mpf_init and modified by
250 				   mpf_set_prec.  The area pointed to by the
251 				   _mp_d field contains `prec' + 1 limbs.  */
252   int _mp_size;			/* abs(_mp_size) is the number of limbs the
253 				   last field points to.  If _mp_size is
254 				   negative this is a negative number.  */
255   mp_exp_t _mp_exp;		/* Exponent, in the base of `mp_limb_t'.  */
256   mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
257 } __mpf_struct;
258 
259 /* typedef __mpf_struct MP_FLOAT; */
260 typedef __mpf_struct mpf_t[1];
261 
262 /* Available random number generation algorithms.  */
263 typedef enum
264 {
265   GMP_RAND_ALG_DEFAULT = 0,
266   GMP_RAND_ALG_LC = GMP_RAND_ALG_DEFAULT /* Linear congruential.  */
267 } gmp_randalg_t;
268 
269 /* Random state struct.  */
270 typedef struct
271 {
272   mpz_t _mp_seed;	  /* _mp_d member points to state of the generator. */
273   gmp_randalg_t _mp_alg;  /* Currently unused. */
274   union {
275     void *_mp_lc;         /* Pointer to function pointers structure.  */
276   } _mp_algdata;
277 } __gmp_randstate_struct;
278 typedef __gmp_randstate_struct gmp_randstate_t[1];
279 
280 /* Types for function declarations in gmp files.  */
281 /* ??? Should not pollute user name space with these ??? */
282 typedef __gmp_const __mpz_struct *mpz_srcptr;
283 typedef __mpz_struct *mpz_ptr;
284 typedef __gmp_const __mpf_struct *mpf_srcptr;
285 typedef __mpf_struct *mpf_ptr;
286 typedef __gmp_const __mpq_struct *mpq_srcptr;
287 typedef __mpq_struct *mpq_ptr;
288 
289 
290 /* This is not wanted in mp.h, so put it outside the __GNU_MP__ common
291    section. */
292 #if __GMP_LIBGMP_DLL
293 #if __GMP_WITHIN_GMPXX
294 /* compiling to go into a DLL libgmpxx */
295 #define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_EXPORT
296 #else
297 /* compiling to go into a application which will link to a DLL libgmpxx */
298 #define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_IMPORT
299 #endif
300 #else
301 /* all other cases */
302 #define __GMP_DECLSPEC_XX
303 #endif
304 
305 
306 #if __GMP_HAVE_PROTOTYPES
307 #define __GMP_PROTO(x) x
308 #else
309 #define __GMP_PROTO(x) ()
310 #endif
311 
312 #ifndef __MPN
313 #if __GMP_HAVE_TOKEN_PASTE
314 #define __MPN(x) __gmpn_##x
315 #else
316 #define __MPN(x) __gmpn_/**/x
317 #endif
318 #endif
319 
320 /* For reference, "defined(EOF)" cannot be used here.  In g++ 2.95.4,
321    <iostream> defines EOF but not FILE.  */
322 #if defined (FILE)                                              \
323   || defined (H_STDIO)                                          \
324   || defined (_H_STDIO)               /* AIX */                 \
325   || defined (_STDIO_H)               /* glibc, Sun, SCO */     \
326   || defined (_STDIO_H_)              /* BSD, OSF */            \
327   || defined (__STDIO_H)              /* Borland */             \
328   || defined (__STDIO_H__)            /* IRIX */                \
329   || defined (_STDIO_INCLUDED)        /* HPUX */                \
330   || defined (__dj_include_stdio_h_)  /* DJGPP */               \
331   || defined (_FILE_DEFINED)          /* Microsoft */           \
332   || defined (__STDIO__)              /* Apple MPW MrC */       \
333   || defined (_MSL_STDIO_H)           /* Metrowerks */          \
334   || defined (_STDIO_H_INCLUDED)      /* QNX4 */		\
335   || defined (_ISO_STDIO_ISO_H)       /* Sun C++ */
336 #define _GMP_H_HAVE_FILE 1
337 #endif
338 
339 /* In ISO C, if a prototype involving "struct obstack *" is given without
340    that structure defined, then the struct is scoped down to just the
341    prototype, causing a conflict if it's subsequently defined for real.  So
342    only give prototypes if we've got obstack.h.  */
343 #if defined (_OBSTACK_H)   /* glibc <obstack.h> */
344 #define _GMP_H_HAVE_OBSTACK 1
345 #endif
346 
347 /* The prototypes for gmp_vprintf etc are provided only if va_list is
348    available, via an application having included <stdarg.h> or <varargs.h>.
349    Usually va_list is a typedef so can't be tested directly, but C99
350    specifies that va_start is a macro (and it was normally a macro on past
351    systems too), so look for that.
352 
353    <stdio.h> will define some sort of va_list for vprintf and vfprintf, but
354    let's not bother trying to use that since it's not standard and since
355    application uses for gmp_vprintf etc will almost certainly require the
356    whole <stdarg.h> or <varargs.h> anyway.  */
357 
358 #ifdef va_start
359 #define _GMP_H_HAVE_VA_LIST 1
360 #endif
361 
362 /* Test for gcc >= maj.min, as per __GNUC_PREREQ in glibc */
363 #if defined (__GNUC__) && defined (__GNUC_MINOR__)
364 #define __GMP_GNUC_PREREQ(maj, min) \
365   ((__GNUC__ << 16) + __GNUC_MINOR__ >= ((maj) << 16) + (min))
366 #else
367 #define __GMP_GNUC_PREREQ(maj, min)  0
368 #endif
369 
370 /* "pure" is in gcc 2.96 and up, see "(gcc)Function Attributes".  Basically
371    it means a function does nothing but examine its arguments and memory
372    (global or via arguments) to generate a return value, but changes nothing
373    and has no side-effects.  __GMP_NO_ATTRIBUTE_CONST_PURE lets
374    tune/common.c etc turn this off when trying to write timing loops.  */
375 #if __GMP_GNUC_PREREQ (2,96) && ! defined (__GMP_NO_ATTRIBUTE_CONST_PURE)
376 #define __GMP_ATTRIBUTE_PURE   __attribute__ ((__pure__))
377 #else
378 #define __GMP_ATTRIBUTE_PURE
379 #endif
380 
381 
382 /* __GMP_CAST allows us to use static_cast in C++, so our macros are clean
383    to "g++ -Wold-style-cast".
384 
385    Casts in "extern inline" code within an extern "C" block don't induce
386    these warnings, so __GMP_CAST only needs to be used on documented
387    macros.  */
388 
389 #ifdef __cplusplus
390 #define __GMP_CAST(type, expr)  (static_cast<type> (expr))
391 #else
392 #define __GMP_CAST(type, expr)  ((type) (expr))
393 #endif
394 
395 
396 /* An empty "throw ()" means the function doesn't throw any C++ exceptions,
397    this can save some stack frame info in applications.
398 
399    Currently it's given only on functions which never divide-by-zero etc,
400    don't allocate memory, and are expected to never need to allocate memory.
401    This leaves open the possibility of a C++ throw from a future GMP
402    exceptions scheme.
403 
404    mpz_set_ui etc are omitted to leave open the lazy allocation scheme
405    described in doc/tasks.html.  mpz_get_d etc are omitted to leave open
406    exceptions for float overflows.
407 
408    Note that __GMP_NOTHROW must be given on any inlines the same as on their
409    prototypes (for g++ at least, where they're used together).  Note also
410    that g++ 3.0 demands that __GMP_NOTHROW is before other attributes like
411    __GMP_ATTRIBUTE_PURE.  */
412 
413 #if defined (__cplusplus)
414 #define __GMP_NOTHROW  throw ()
415 #else
416 #define __GMP_NOTHROW
417 #endif
418 
419 
420 /* PORTME: What other compilers have a useful "extern inline"?  "static
421    inline" would be an acceptable substitute if the compiler (or linker)
422    discards unused statics.  */
423 
424  /* gcc has __inline__ in all modes, including strict ansi.  Give a prototype
425     for an inline too, so as to correctly specify "dllimport" on windows, in
426     case the function is called rather than inlined.
427     GCC 4.3 and above with -std=c99 or -std=gnu99 implements ISO C99
428     inline semantics, unless -fgnu89-inline is used.  */
429 #ifdef __GNUC__
430 #if (defined __GNUC_STDC_INLINE__) || (__GNUC__ == 4 && __GNUC_MINOR__ == 2)
431 #define __GMP_EXTERN_INLINE extern __inline__ __attribute__ ((__gnu_inline__))
432 #else
433 #define __GMP_EXTERN_INLINE      extern __inline__
434 #endif
435 #define __GMP_INLINE_PROTOTYPES  1
436 #endif
437 
438 /* DEC C (eg. version 5.9) supports "static __inline foo()", even in -std1
439    strict ANSI mode.  Inlining is done even when not optimizing (ie. -O0
440    mode, which is the default), but an unnecessary local copy of foo is
441    emitted unless -O is used.  "extern __inline" is accepted, but the
442    "extern" appears to be ignored, ie. it becomes a plain global function
443    but which is inlined within its file.  Don't know if all old versions of
444    DEC C supported __inline, but as a start let's do the right thing for
445    current versions.  */
446 #ifdef __DECC
447 #define __GMP_EXTERN_INLINE  static __inline
448 #endif
449 
450 /* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict
451    ANSI mode (__STDC__ is 1 in that mode).  Inlining only actually takes
452    place under -O.  Without -O "foo" seems to be emitted whether it's used
453    or not, which is wasteful.  "extern inline foo()" isn't useful, the
454    "extern" is apparently ignored, so foo is inlined if possible but also
455    emitted as a global, which causes multiple definition errors when
456    building a shared libgmp.  */
457 #ifdef __SCO_VERSION__
458 #if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
459   && ! defined (__GMP_EXTERN_INLINE)
460 #define __GMP_EXTERN_INLINE  static inline
461 #endif
462 #endif
463 
464 /* Microsoft's C compiler accepts __inline */
465 #ifdef _MSC_VER
466 #define __GMP_EXTERN_INLINE  __inline
467 #endif
468 
469 /* Recent enough Sun C compilers want "inline" */
470 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x560 \
471   && ! defined (__GMP_EXTERN_INLINE)
472 #define __GMP_EXTERN_INLINE  inline
473 #endif
474 
475 /* Somewhat older Sun C compilers want "static inline" */
476 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x540 \
477   && ! defined (__GMP_EXTERN_INLINE)
478 #define __GMP_EXTERN_INLINE  static inline
479 #endif
480 
481 
482 /* C++ always has "inline" and since it's a normal feature the linker should
483    discard duplicate non-inlined copies, or if it doesn't then that's a
484    problem for everyone, not just GMP.  */
485 #if defined (__cplusplus) && ! defined (__GMP_EXTERN_INLINE)
486 #define __GMP_EXTERN_INLINE  inline
487 #endif
488 
489 /* Don't do any inlining within a configure run, since if the compiler ends
490    up emitting copies of the code into the object file it can end up
491    demanding the various support routines (like mpn_popcount) for linking,
492    making the "alloca" test and perhaps others fail.  And on hppa ia64 a
493    pre-release gcc 3.2 was seen not respecting the "extern" in "extern
494    __inline__", triggering this problem too.  */
495 #if defined (__GMP_WITHIN_CONFIGURE) && ! __GMP_WITHIN_CONFIGURE_INLINE
496 #undef __GMP_EXTERN_INLINE
497 #endif
498 
499 /* By default, don't give a prototype when there's going to be an inline
500    version.  Note in particular that Cray C++ objects to the combination of
501    prototype and inline.  */
502 #ifdef __GMP_EXTERN_INLINE
503 #ifndef __GMP_INLINE_PROTOTYPES
504 #define __GMP_INLINE_PROTOTYPES  0
505 #endif
506 #else
507 #define __GMP_INLINE_PROTOTYPES  1
508 #endif
509 
510 
511 #define __GMP_ABS(x)   ((x) >= 0 ? (x) : -(x))
512 #define __GMP_MAX(h,i) ((h) > (i) ? (h) : (i))
513 
514 /* __GMP_USHRT_MAX is not "~ (unsigned short) 0" because short is promoted
515    to int by "~".  */
516 #define __GMP_UINT_MAX   (~ (unsigned) 0)
517 #define __GMP_ULONG_MAX  (~ (unsigned long) 0)
518 #define __GMP_USHRT_MAX  ((unsigned short) ~0)
519 
520 
521 /* __builtin_expect is in gcc 3.0, and not in 2.95. */
522 #if __GMP_GNUC_PREREQ (3,0)
523 #define __GMP_LIKELY(cond)    __builtin_expect ((cond) != 0, 1)
524 #define __GMP_UNLIKELY(cond)  __builtin_expect ((cond) != 0, 0)
525 #else
526 #define __GMP_LIKELY(cond)    (cond)
527 #define __GMP_UNLIKELY(cond)  (cond)
528 #endif
529 
530 #ifdef _CRAY
531 #define __GMP_CRAY_Pragma(str)  _Pragma (str)
532 #else
533 #define __GMP_CRAY_Pragma(str)
534 #endif
535 
536 
537 /* Allow direct user access to numerator and denominator of a mpq_t object.  */
538 #define mpq_numref(Q) (&((Q)->_mp_num))
539 #define mpq_denref(Q) (&((Q)->_mp_den))
540 
541 
542 #if defined (__cplusplus)
543 extern "C" {
544 using std::FILE;
545 #endif
546 
547 #define mp_set_memory_functions __gmp_set_memory_functions
548 __GMP_DECLSPEC void mp_set_memory_functions __GMP_PROTO ((void *(*) (size_t),
549 				      void *(*) (void *, size_t, size_t),
550 				      void (*) (void *, size_t))) __GMP_NOTHROW;
551 
552 #define mp_get_memory_functions __gmp_get_memory_functions
553 __GMP_DECLSPEC void mp_get_memory_functions __GMP_PROTO ((void *(**) (size_t),
554                                       void *(**) (void *, size_t, size_t),
555                                       void (**) (void *, size_t))) __GMP_NOTHROW;
556 
557 #define mp_bits_per_limb __gmp_bits_per_limb
558 __GMP_DECLSPEC extern __gmp_const int mp_bits_per_limb;
559 
560 #define gmp_errno __gmp_errno
561 __GMP_DECLSPEC extern int gmp_errno;
562 
563 #define gmp_version __gmp_version
564 __GMP_DECLSPEC extern __gmp_const char * __gmp_const gmp_version;
565 
566 
567 /**************** Random number routines.  ****************/
568 
569 /* obsolete */
570 #define gmp_randinit __gmp_randinit
571 __GMP_DECLSPEC void gmp_randinit __GMP_PROTO ((gmp_randstate_t, gmp_randalg_t, ...));
572 
573 #define gmp_randinit_default __gmp_randinit_default
574 __GMP_DECLSPEC void gmp_randinit_default __GMP_PROTO ((gmp_randstate_t));
575 
576 #define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
577 __GMP_DECLSPEC void gmp_randinit_lc_2exp __GMP_PROTO ((gmp_randstate_t,
578 						       mpz_srcptr, unsigned long int,
579 						       mp_bitcnt_t));
580 
581 #define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size
582 __GMP_DECLSPEC int gmp_randinit_lc_2exp_size __GMP_PROTO ((gmp_randstate_t, mp_bitcnt_t));
583 
584 #define gmp_randinit_mt __gmp_randinit_mt
585 __GMP_DECLSPEC void gmp_randinit_mt __GMP_PROTO ((gmp_randstate_t));
586 
587 #define gmp_randinit_set __gmp_randinit_set
588 __GMP_DECLSPEC void gmp_randinit_set __GMP_PROTO ((gmp_randstate_t, __gmp_const __gmp_randstate_struct *));
589 
590 #define gmp_randseed __gmp_randseed
591 __GMP_DECLSPEC void gmp_randseed __GMP_PROTO ((gmp_randstate_t, mpz_srcptr));
592 
593 #define gmp_randseed_ui __gmp_randseed_ui
594 __GMP_DECLSPEC void gmp_randseed_ui __GMP_PROTO ((gmp_randstate_t, unsigned long int));
595 
596 #define gmp_randclear __gmp_randclear
597 __GMP_DECLSPEC void gmp_randclear __GMP_PROTO ((gmp_randstate_t));
598 
599 #define gmp_urandomb_ui __gmp_urandomb_ui
600 __GMP_DECLSPEC unsigned long gmp_urandomb_ui __GMP_PROTO ((gmp_randstate_t, unsigned long));
601 
602 #define gmp_urandomm_ui __gmp_urandomm_ui
603 __GMP_DECLSPEC unsigned long gmp_urandomm_ui __GMP_PROTO ((gmp_randstate_t, unsigned long));
604 
605 
606 /**************** Formatted output routines.  ****************/
607 
608 #define gmp_asprintf __gmp_asprintf
609 __GMP_DECLSPEC int gmp_asprintf __GMP_PROTO ((char **, __gmp_const char *, ...));
610 
611 #define gmp_fprintf __gmp_fprintf
612 #ifdef _GMP_H_HAVE_FILE
613 __GMP_DECLSPEC int gmp_fprintf __GMP_PROTO ((FILE *, __gmp_const char *, ...));
614 #endif
615 
616 #define gmp_obstack_printf __gmp_obstack_printf
617 #if defined (_GMP_H_HAVE_OBSTACK)
618 __GMP_DECLSPEC int gmp_obstack_printf __GMP_PROTO ((struct obstack *, __gmp_const char *, ...));
619 #endif
620 
621 #define gmp_obstack_vprintf __gmp_obstack_vprintf
622 #if defined (_GMP_H_HAVE_OBSTACK) && defined (_GMP_H_HAVE_VA_LIST)
623 __GMP_DECLSPEC int gmp_obstack_vprintf __GMP_PROTO ((struct obstack *, __gmp_const char *, va_list));
624 #endif
625 
626 #define gmp_printf __gmp_printf
627 __GMP_DECLSPEC int gmp_printf __GMP_PROTO ((__gmp_const char *, ...));
628 
629 #define gmp_snprintf __gmp_snprintf
630 __GMP_DECLSPEC int gmp_snprintf __GMP_PROTO ((char *, size_t, __gmp_const char *, ...));
631 
632 #define gmp_sprintf __gmp_sprintf
633 __GMP_DECLSPEC int gmp_sprintf __GMP_PROTO ((char *, __gmp_const char *, ...));
634 
635 #define gmp_vasprintf __gmp_vasprintf
636 #if defined (_GMP_H_HAVE_VA_LIST)
637 __GMP_DECLSPEC int gmp_vasprintf __GMP_PROTO ((char **, __gmp_const char *, va_list));
638 #endif
639 
640 #define gmp_vfprintf __gmp_vfprintf
641 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
642 __GMP_DECLSPEC int gmp_vfprintf __GMP_PROTO ((FILE *, __gmp_const char *, va_list));
643 #endif
644 
645 #define gmp_vprintf __gmp_vprintf
646 #if defined (_GMP_H_HAVE_VA_LIST)
647 __GMP_DECLSPEC int gmp_vprintf __GMP_PROTO ((__gmp_const char *, va_list));
648 #endif
649 
650 #define gmp_vsnprintf __gmp_vsnprintf
651 #if defined (_GMP_H_HAVE_VA_LIST)
652 __GMP_DECLSPEC int gmp_vsnprintf __GMP_PROTO ((char *, size_t, __gmp_const char *, va_list));
653 #endif
654 
655 #define gmp_vsprintf __gmp_vsprintf
656 #if defined (_GMP_H_HAVE_VA_LIST)
657 __GMP_DECLSPEC int gmp_vsprintf __GMP_PROTO ((char *, __gmp_const char *, va_list));
658 #endif
659 
660 
661 /**************** Formatted input routines.  ****************/
662 
663 #define gmp_fscanf __gmp_fscanf
664 #ifdef _GMP_H_HAVE_FILE
665 __GMP_DECLSPEC int gmp_fscanf __GMP_PROTO ((FILE *, __gmp_const char *, ...));
666 #endif
667 
668 #define gmp_scanf __gmp_scanf
669 __GMP_DECLSPEC int gmp_scanf __GMP_PROTO ((__gmp_const char *, ...));
670 
671 #define gmp_sscanf __gmp_sscanf
672 __GMP_DECLSPEC int gmp_sscanf __GMP_PROTO ((__gmp_const char *, __gmp_const char *, ...));
673 
674 #define gmp_vfscanf __gmp_vfscanf
675 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
676 __GMP_DECLSPEC int gmp_vfscanf __GMP_PROTO ((FILE *, __gmp_const char *, va_list));
677 #endif
678 
679 #define gmp_vscanf __gmp_vscanf
680 #if defined (_GMP_H_HAVE_VA_LIST)
681 __GMP_DECLSPEC int gmp_vscanf __GMP_PROTO ((__gmp_const char *, va_list));
682 #endif
683 
684 #define gmp_vsscanf __gmp_vsscanf
685 #if defined (_GMP_H_HAVE_VA_LIST)
686 __GMP_DECLSPEC int gmp_vsscanf __GMP_PROTO ((__gmp_const char *, __gmp_const char *, va_list));
687 #endif
688 
689 
690 /**************** Integer (i.e. Z) routines.  ****************/
691 
692 #define _mpz_realloc __gmpz_realloc
693 #define mpz_realloc __gmpz_realloc
694 __GMP_DECLSPEC void *_mpz_realloc __GMP_PROTO ((mpz_ptr, mp_size_t));
695 
696 #define mpz_abs __gmpz_abs
697 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs)
698 __GMP_DECLSPEC void mpz_abs __GMP_PROTO ((mpz_ptr, mpz_srcptr));
699 #endif
700 
701 #define mpz_add __gmpz_add
702 __GMP_DECLSPEC void mpz_add __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
703 
704 #define mpz_add_ui __gmpz_add_ui
705 __GMP_DECLSPEC void mpz_add_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
706 
707 #define mpz_addmul __gmpz_addmul
708 __GMP_DECLSPEC void mpz_addmul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
709 
710 #define mpz_addmul_ui __gmpz_addmul_ui
711 __GMP_DECLSPEC void mpz_addmul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
712 
713 #define mpz_and __gmpz_and
714 __GMP_DECLSPEC void mpz_and __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
715 
716 #define mpz_array_init __gmpz_array_init
717 __GMP_DECLSPEC void mpz_array_init __GMP_PROTO ((mpz_ptr, mp_size_t, mp_size_t));
718 
719 #define mpz_bin_ui __gmpz_bin_ui
720 __GMP_DECLSPEC void mpz_bin_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
721 
722 #define mpz_bin_uiui __gmpz_bin_uiui
723 __GMP_DECLSPEC void mpz_bin_uiui __GMP_PROTO ((mpz_ptr, unsigned long int, unsigned long int));
724 
725 #define mpz_cdiv_q __gmpz_cdiv_q
726 __GMP_DECLSPEC void mpz_cdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
727 
728 #define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
729 __GMP_DECLSPEC void mpz_cdiv_q_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
730 
731 #define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
732 __GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
733 
734 #define mpz_cdiv_qr __gmpz_cdiv_qr
735 __GMP_DECLSPEC void mpz_cdiv_qr __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
736 
737 #define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
738 __GMP_DECLSPEC unsigned long int mpz_cdiv_qr_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
739 
740 #define mpz_cdiv_r __gmpz_cdiv_r
741 __GMP_DECLSPEC void mpz_cdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
742 
743 #define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
744 __GMP_DECLSPEC void mpz_cdiv_r_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
745 
746 #define mpz_cdiv_r_ui __gmpz_cdiv_r_ui
747 __GMP_DECLSPEC unsigned long int mpz_cdiv_r_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
748 
749 #define mpz_cdiv_ui __gmpz_cdiv_ui
750 __GMP_DECLSPEC unsigned long int mpz_cdiv_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
751 
752 #define mpz_clear __gmpz_clear
753 __GMP_DECLSPEC void mpz_clear __GMP_PROTO ((mpz_ptr));
754 
755 #define mpz_clears __gmpz_clears
756 __GMP_DECLSPEC void mpz_clears __GMP_PROTO ((mpz_ptr, ...));
757 
758 #define mpz_clrbit __gmpz_clrbit
759 __GMP_DECLSPEC void mpz_clrbit __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
760 
761 #define mpz_cmp __gmpz_cmp
762 __GMP_DECLSPEC int mpz_cmp __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
763 
764 #define mpz_cmp_d __gmpz_cmp_d
765 __GMP_DECLSPEC int mpz_cmp_d __GMP_PROTO ((mpz_srcptr, double)) __GMP_ATTRIBUTE_PURE;
766 
767 #define _mpz_cmp_si __gmpz_cmp_si
768 __GMP_DECLSPEC int _mpz_cmp_si __GMP_PROTO ((mpz_srcptr, signed long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
769 
770 #define _mpz_cmp_ui __gmpz_cmp_ui
771 __GMP_DECLSPEC int _mpz_cmp_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
772 
773 #define mpz_cmpabs __gmpz_cmpabs
774 __GMP_DECLSPEC int mpz_cmpabs __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
775 
776 #define mpz_cmpabs_d __gmpz_cmpabs_d
777 __GMP_DECLSPEC int mpz_cmpabs_d __GMP_PROTO ((mpz_srcptr, double)) __GMP_ATTRIBUTE_PURE;
778 
779 #define mpz_cmpabs_ui __gmpz_cmpabs_ui
780 __GMP_DECLSPEC int mpz_cmpabs_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
781 
782 #define mpz_com __gmpz_com
783 __GMP_DECLSPEC void mpz_com __GMP_PROTO ((mpz_ptr, mpz_srcptr));
784 
785 #define mpz_combit __gmpz_combit
786 __GMP_DECLSPEC void mpz_combit __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
787 
788 #define mpz_congruent_p __gmpz_congruent_p
789 __GMP_DECLSPEC int mpz_congruent_p __GMP_PROTO ((mpz_srcptr, mpz_srcptr, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
790 
791 #define mpz_congruent_2exp_p __gmpz_congruent_2exp_p
792 __GMP_DECLSPEC int mpz_congruent_2exp_p __GMP_PROTO ((mpz_srcptr, mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
793 
794 #define mpz_congruent_ui_p __gmpz_congruent_ui_p
795 __GMP_DECLSPEC int mpz_congruent_ui_p __GMP_PROTO ((mpz_srcptr, unsigned long, unsigned long)) __GMP_ATTRIBUTE_PURE;
796 
797 #define mpz_divexact __gmpz_divexact
798 __GMP_DECLSPEC void mpz_divexact __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
799 
800 #define mpz_divexact_ui __gmpz_divexact_ui
801 __GMP_DECLSPEC void mpz_divexact_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long));
802 
803 #define mpz_divisible_p __gmpz_divisible_p
804 __GMP_DECLSPEC int mpz_divisible_p __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
805 
806 #define mpz_divisible_ui_p __gmpz_divisible_ui_p
807 __GMP_DECLSPEC int mpz_divisible_ui_p __GMP_PROTO ((mpz_srcptr, unsigned long)) __GMP_ATTRIBUTE_PURE;
808 
809 #define mpz_divisible_2exp_p __gmpz_divisible_2exp_p
810 __GMP_DECLSPEC int mpz_divisible_2exp_p __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
811 
812 #define mpz_dump __gmpz_dump
813 __GMP_DECLSPEC void mpz_dump __GMP_PROTO ((mpz_srcptr));
814 
815 #define mpz_export __gmpz_export
816 __GMP_DECLSPEC void *mpz_export __GMP_PROTO ((void *, size_t *, int, size_t, int, size_t, mpz_srcptr));
817 
818 #define mpz_fac_ui __gmpz_fac_ui
819 __GMP_DECLSPEC void mpz_fac_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
820 
821 #define mpz_fdiv_q __gmpz_fdiv_q
822 __GMP_DECLSPEC void mpz_fdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
823 
824 #define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
825 __GMP_DECLSPEC void mpz_fdiv_q_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
826 
827 #define mpz_fdiv_q_ui __gmpz_fdiv_q_ui
828 __GMP_DECLSPEC unsigned long int mpz_fdiv_q_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
829 
830 #define mpz_fdiv_qr __gmpz_fdiv_qr
831 __GMP_DECLSPEC void mpz_fdiv_qr __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
832 
833 #define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui
834 __GMP_DECLSPEC unsigned long int mpz_fdiv_qr_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
835 
836 #define mpz_fdiv_r __gmpz_fdiv_r
837 __GMP_DECLSPEC void mpz_fdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
838 
839 #define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
840 __GMP_DECLSPEC void mpz_fdiv_r_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
841 
842 #define mpz_fdiv_r_ui __gmpz_fdiv_r_ui
843 __GMP_DECLSPEC unsigned long int mpz_fdiv_r_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
844 
845 #define mpz_fdiv_ui __gmpz_fdiv_ui
846 __GMP_DECLSPEC unsigned long int mpz_fdiv_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
847 
848 #define mpz_fib_ui __gmpz_fib_ui
849 __GMP_DECLSPEC void mpz_fib_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
850 
851 #define mpz_fib2_ui __gmpz_fib2_ui
852 __GMP_DECLSPEC void mpz_fib2_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, unsigned long int));
853 
854 #define mpz_fits_sint_p __gmpz_fits_sint_p
855 __GMP_DECLSPEC int mpz_fits_sint_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
856 
857 #define mpz_fits_slong_p __gmpz_fits_slong_p
858 __GMP_DECLSPEC int mpz_fits_slong_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
859 
860 #define mpz_fits_sshort_p __gmpz_fits_sshort_p
861 __GMP_DECLSPEC int mpz_fits_sshort_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
862 
863 #define mpz_fits_uint_p __gmpz_fits_uint_p
864 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_uint_p)
865 __GMP_DECLSPEC int mpz_fits_uint_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
866 #endif
867 
868 #define mpz_fits_ulong_p __gmpz_fits_ulong_p
869 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ulong_p)
870 __GMP_DECLSPEC int mpz_fits_ulong_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
871 #endif
872 
873 #define mpz_fits_ushort_p __gmpz_fits_ushort_p
874 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ushort_p)
875 __GMP_DECLSPEC int mpz_fits_ushort_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
876 #endif
877 
878 #define mpz_gcd __gmpz_gcd
879 __GMP_DECLSPEC void mpz_gcd __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
880 
881 #define mpz_gcd_ui __gmpz_gcd_ui
882 __GMP_DECLSPEC unsigned long int mpz_gcd_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
883 
884 #define mpz_gcdext __gmpz_gcdext
885 __GMP_DECLSPEC void mpz_gcdext __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
886 
887 #define mpz_get_d __gmpz_get_d
888 __GMP_DECLSPEC double mpz_get_d __GMP_PROTO ((mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
889 
890 #define mpz_get_d_2exp __gmpz_get_d_2exp
891 __GMP_DECLSPEC double mpz_get_d_2exp __GMP_PROTO ((signed long int *, mpz_srcptr));
892 
893 #define mpz_get_si __gmpz_get_si
894 __GMP_DECLSPEC /* signed */ long int mpz_get_si __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
895 
896 #define mpz_get_str __gmpz_get_str
897 __GMP_DECLSPEC char *mpz_get_str __GMP_PROTO ((char *, int, mpz_srcptr));
898 
899 #define mpz_get_ui __gmpz_get_ui
900 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_get_ui)
901 __GMP_DECLSPEC unsigned long int mpz_get_ui __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
902 #endif
903 
904 #define mpz_getlimbn __gmpz_getlimbn
905 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_getlimbn)
906 __GMP_DECLSPEC mp_limb_t mpz_getlimbn __GMP_PROTO ((mpz_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
907 #endif
908 
909 #define mpz_hamdist __gmpz_hamdist
910 __GMP_DECLSPEC mp_bitcnt_t mpz_hamdist __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
911 
912 #define mpz_import __gmpz_import
913 __GMP_DECLSPEC void mpz_import __GMP_PROTO ((mpz_ptr, size_t, int, size_t, int, size_t, __gmp_const void *));
914 
915 #define mpz_init __gmpz_init
916 __GMP_DECLSPEC void mpz_init __GMP_PROTO ((mpz_ptr));
917 
918 #define mpz_init2 __gmpz_init2
919 __GMP_DECLSPEC void mpz_init2 __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
920 
921 #define mpz_inits __gmpz_inits
922 __GMP_DECLSPEC void mpz_inits __GMP_PROTO ((mpz_ptr, ...));
923 
924 #define mpz_init_set __gmpz_init_set
925 __GMP_DECLSPEC void mpz_init_set __GMP_PROTO ((mpz_ptr, mpz_srcptr));
926 
927 #define mpz_init_set_d __gmpz_init_set_d
928 __GMP_DECLSPEC void mpz_init_set_d __GMP_PROTO ((mpz_ptr, double));
929 
930 #define mpz_init_set_si __gmpz_init_set_si
931 __GMP_DECLSPEC void mpz_init_set_si __GMP_PROTO ((mpz_ptr, signed long int));
932 
933 #define mpz_init_set_str __gmpz_init_set_str
934 __GMP_DECLSPEC int mpz_init_set_str __GMP_PROTO ((mpz_ptr, __gmp_const char *, int));
935 
936 #define mpz_init_set_ui __gmpz_init_set_ui
937 __GMP_DECLSPEC void mpz_init_set_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
938 
939 #define mpz_inp_raw __gmpz_inp_raw
940 #ifdef _GMP_H_HAVE_FILE
941 __GMP_DECLSPEC size_t mpz_inp_raw __GMP_PROTO ((mpz_ptr, FILE *));
942 #endif
943 
944 #define mpz_inp_str __gmpz_inp_str
945 #ifdef _GMP_H_HAVE_FILE
946 __GMP_DECLSPEC size_t mpz_inp_str __GMP_PROTO ((mpz_ptr, FILE *, int));
947 #endif
948 
949 #define mpz_invert __gmpz_invert
950 __GMP_DECLSPEC int mpz_invert __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
951 
952 #define mpz_ior __gmpz_ior
953 __GMP_DECLSPEC void mpz_ior __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
954 
955 #define mpz_jacobi __gmpz_jacobi
956 __GMP_DECLSPEC int mpz_jacobi __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
957 
958 #define mpz_kronecker mpz_jacobi  /* alias */
959 
960 #define mpz_kronecker_si __gmpz_kronecker_si
961 __GMP_DECLSPEC int mpz_kronecker_si __GMP_PROTO ((mpz_srcptr, long)) __GMP_ATTRIBUTE_PURE;
962 
963 #define mpz_kronecker_ui __gmpz_kronecker_ui
964 __GMP_DECLSPEC int mpz_kronecker_ui __GMP_PROTO ((mpz_srcptr, unsigned long)) __GMP_ATTRIBUTE_PURE;
965 
966 #define mpz_si_kronecker __gmpz_si_kronecker
967 __GMP_DECLSPEC int mpz_si_kronecker __GMP_PROTO ((long, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
968 
969 #define mpz_ui_kronecker __gmpz_ui_kronecker
970 __GMP_DECLSPEC int mpz_ui_kronecker __GMP_PROTO ((unsigned long, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
971 
972 #define mpz_lcm __gmpz_lcm
973 __GMP_DECLSPEC void mpz_lcm __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
974 
975 #define mpz_lcm_ui __gmpz_lcm_ui
976 __GMP_DECLSPEC void mpz_lcm_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long));
977 
978 #define mpz_legendre mpz_jacobi  /* alias */
979 
980 #define mpz_lucnum_ui __gmpz_lucnum_ui
981 __GMP_DECLSPEC void mpz_lucnum_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
982 
983 #define mpz_lucnum2_ui __gmpz_lucnum2_ui
984 __GMP_DECLSPEC void mpz_lucnum2_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, unsigned long int));
985 
986 #define mpz_millerrabin __gmpz_millerrabin
987 __GMP_DECLSPEC int mpz_millerrabin __GMP_PROTO ((mpz_srcptr, int)) __GMP_ATTRIBUTE_PURE;
988 
989 #define mpz_mod __gmpz_mod
990 __GMP_DECLSPEC void mpz_mod __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
991 
992 #define mpz_mod_ui mpz_fdiv_r_ui /* same as fdiv_r because divisor unsigned */
993 
994 #define mpz_mul __gmpz_mul
995 __GMP_DECLSPEC void mpz_mul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
996 
997 #define mpz_mul_2exp __gmpz_mul_2exp
998 __GMP_DECLSPEC void mpz_mul_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
999 
1000 #define mpz_mul_si __gmpz_mul_si
1001 __GMP_DECLSPEC void mpz_mul_si __GMP_PROTO ((mpz_ptr, mpz_srcptr, long int));
1002 
1003 #define mpz_mul_ui __gmpz_mul_ui
1004 __GMP_DECLSPEC void mpz_mul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1005 
1006 #define mpz_neg __gmpz_neg
1007 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_neg)
1008 __GMP_DECLSPEC void mpz_neg __GMP_PROTO ((mpz_ptr, mpz_srcptr));
1009 #endif
1010 
1011 #define mpz_nextprime __gmpz_nextprime
1012 __GMP_DECLSPEC void mpz_nextprime __GMP_PROTO ((mpz_ptr, mpz_srcptr));
1013 
1014 #define mpz_out_raw __gmpz_out_raw
1015 #ifdef _GMP_H_HAVE_FILE
1016 __GMP_DECLSPEC size_t mpz_out_raw __GMP_PROTO ((FILE *, mpz_srcptr));
1017 #endif
1018 
1019 #define mpz_out_str __gmpz_out_str
1020 #ifdef _GMP_H_HAVE_FILE
1021 __GMP_DECLSPEC size_t mpz_out_str __GMP_PROTO ((FILE *, int, mpz_srcptr));
1022 #endif
1023 
1024 #define mpz_perfect_power_p __gmpz_perfect_power_p
1025 __GMP_DECLSPEC int mpz_perfect_power_p __GMP_PROTO ((mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
1026 
1027 #define mpz_perfect_square_p __gmpz_perfect_square_p
1028 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_perfect_square_p)
1029 __GMP_DECLSPEC int mpz_perfect_square_p __GMP_PROTO ((mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
1030 #endif
1031 
1032 #define mpz_popcount __gmpz_popcount
1033 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_popcount)
1034 __GMP_DECLSPEC mp_bitcnt_t mpz_popcount __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1035 #endif
1036 
1037 #define mpz_pow_ui __gmpz_pow_ui
1038 __GMP_DECLSPEC void mpz_pow_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1039 
1040 #define mpz_powm __gmpz_powm
1041 __GMP_DECLSPEC void mpz_powm __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr));
1042 
1043 #define mpz_powm_sec __gmpz_powm_sec
1044 __GMP_DECLSPEC void mpz_powm_sec __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr));
1045 
1046 #define mpz_powm_ui __gmpz_powm_ui
1047 __GMP_DECLSPEC void mpz_powm_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr));
1048 
1049 #define mpz_probab_prime_p __gmpz_probab_prime_p
1050 __GMP_DECLSPEC int mpz_probab_prime_p __GMP_PROTO ((mpz_srcptr, int)) __GMP_ATTRIBUTE_PURE;
1051 
1052 #define mpz_random __gmpz_random
1053 __GMP_DECLSPEC void mpz_random __GMP_PROTO ((mpz_ptr, mp_size_t));
1054 
1055 #define mpz_random2 __gmpz_random2
1056 __GMP_DECLSPEC void mpz_random2 __GMP_PROTO ((mpz_ptr, mp_size_t));
1057 
1058 #define mpz_realloc2 __gmpz_realloc2
1059 __GMP_DECLSPEC void mpz_realloc2 __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
1060 
1061 #define mpz_remove __gmpz_remove
1062 __GMP_DECLSPEC mp_bitcnt_t mpz_remove __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1063 
1064 #define mpz_root __gmpz_root
1065 __GMP_DECLSPEC int mpz_root __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1066 
1067 #define mpz_rootrem __gmpz_rootrem
1068 __GMP_DECLSPEC void mpz_rootrem __GMP_PROTO ((mpz_ptr,mpz_ptr, mpz_srcptr, unsigned long int));
1069 
1070 #define mpz_rrandomb __gmpz_rrandomb
1071 __GMP_DECLSPEC void mpz_rrandomb __GMP_PROTO ((mpz_ptr, gmp_randstate_t, mp_bitcnt_t));
1072 
1073 #define mpz_scan0 __gmpz_scan0
1074 __GMP_DECLSPEC mp_bitcnt_t mpz_scan0 __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1075 
1076 #define mpz_scan1 __gmpz_scan1
1077 __GMP_DECLSPEC mp_bitcnt_t mpz_scan1 __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1078 
1079 #define mpz_set __gmpz_set
1080 __GMP_DECLSPEC void mpz_set __GMP_PROTO ((mpz_ptr, mpz_srcptr));
1081 
1082 #define mpz_set_d __gmpz_set_d
1083 __GMP_DECLSPEC void mpz_set_d __GMP_PROTO ((mpz_ptr, double));
1084 
1085 #define mpz_set_f __gmpz_set_f
1086 __GMP_DECLSPEC void mpz_set_f __GMP_PROTO ((mpz_ptr, mpf_srcptr));
1087 
1088 #define mpz_set_q __gmpz_set_q
1089 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_set_q)
1090 __GMP_DECLSPEC void mpz_set_q __GMP_PROTO ((mpz_ptr, mpq_srcptr));
1091 #endif
1092 
1093 #define mpz_set_si __gmpz_set_si
1094 __GMP_DECLSPEC void mpz_set_si __GMP_PROTO ((mpz_ptr, signed long int));
1095 
1096 #define mpz_set_str __gmpz_set_str
1097 __GMP_DECLSPEC int mpz_set_str __GMP_PROTO ((mpz_ptr, __gmp_const char *, int));
1098 
1099 #define mpz_set_ui __gmpz_set_ui
1100 __GMP_DECLSPEC void mpz_set_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
1101 
1102 #define mpz_setbit __gmpz_setbit
1103 __GMP_DECLSPEC void mpz_setbit __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
1104 
1105 #define mpz_size __gmpz_size
1106 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_size)
1107 __GMP_DECLSPEC size_t mpz_size __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1108 #endif
1109 
1110 #define mpz_sizeinbase __gmpz_sizeinbase
1111 __GMP_DECLSPEC size_t mpz_sizeinbase __GMP_PROTO ((mpz_srcptr, int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1112 
1113 #define mpz_sqrt __gmpz_sqrt
1114 __GMP_DECLSPEC void mpz_sqrt __GMP_PROTO ((mpz_ptr, mpz_srcptr));
1115 
1116 #define mpz_sqrtrem __gmpz_sqrtrem
1117 __GMP_DECLSPEC void mpz_sqrtrem __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr));
1118 
1119 #define mpz_sub __gmpz_sub
1120 __GMP_DECLSPEC void mpz_sub __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1121 
1122 #define mpz_sub_ui __gmpz_sub_ui
1123 __GMP_DECLSPEC void mpz_sub_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1124 
1125 #define mpz_ui_sub __gmpz_ui_sub
1126 __GMP_DECLSPEC void mpz_ui_sub __GMP_PROTO ((mpz_ptr, unsigned long int, mpz_srcptr));
1127 
1128 #define mpz_submul __gmpz_submul
1129 __GMP_DECLSPEC void mpz_submul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1130 
1131 #define mpz_submul_ui __gmpz_submul_ui
1132 __GMP_DECLSPEC void mpz_submul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1133 
1134 #define mpz_swap __gmpz_swap
1135 __GMP_DECLSPEC void mpz_swap __GMP_PROTO ((mpz_ptr, mpz_ptr)) __GMP_NOTHROW;
1136 
1137 #define mpz_tdiv_ui __gmpz_tdiv_ui
1138 __GMP_DECLSPEC unsigned long int mpz_tdiv_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
1139 
1140 #define mpz_tdiv_q __gmpz_tdiv_q
1141 __GMP_DECLSPEC void mpz_tdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1142 
1143 #define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp
1144 __GMP_DECLSPEC void mpz_tdiv_q_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
1145 
1146 #define mpz_tdiv_q_ui __gmpz_tdiv_q_ui
1147 __GMP_DECLSPEC unsigned long int mpz_tdiv_q_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1148 
1149 #define mpz_tdiv_qr __gmpz_tdiv_qr
1150 __GMP_DECLSPEC void mpz_tdiv_qr __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
1151 
1152 #define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui
1153 __GMP_DECLSPEC unsigned long int mpz_tdiv_qr_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
1154 
1155 #define mpz_tdiv_r __gmpz_tdiv_r
1156 __GMP_DECLSPEC void mpz_tdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1157 
1158 #define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp
1159 __GMP_DECLSPEC void mpz_tdiv_r_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
1160 
1161 #define mpz_tdiv_r_ui __gmpz_tdiv_r_ui
1162 __GMP_DECLSPEC unsigned long int mpz_tdiv_r_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1163 
1164 #define mpz_tstbit __gmpz_tstbit
1165 __GMP_DECLSPEC int mpz_tstbit __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1166 
1167 #define mpz_ui_pow_ui __gmpz_ui_pow_ui
1168 __GMP_DECLSPEC void mpz_ui_pow_ui __GMP_PROTO ((mpz_ptr, unsigned long int, unsigned long int));
1169 
1170 #define mpz_urandomb __gmpz_urandomb
1171 __GMP_DECLSPEC void mpz_urandomb __GMP_PROTO ((mpz_ptr, gmp_randstate_t, mp_bitcnt_t));
1172 
1173 #define mpz_urandomm __gmpz_urandomm
1174 __GMP_DECLSPEC void mpz_urandomm __GMP_PROTO ((mpz_ptr, gmp_randstate_t, mpz_srcptr));
1175 
1176 #define mpz_xor __gmpz_xor
1177 #define mpz_eor __gmpz_xor
1178 __GMP_DECLSPEC void mpz_xor __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1179 
1180 
1181 /**************** Rational (i.e. Q) routines.  ****************/
1182 
1183 #define mpq_abs __gmpq_abs
1184 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_abs)
1185 __GMP_DECLSPEC void mpq_abs __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1186 #endif
1187 
1188 #define mpq_add __gmpq_add
1189 __GMP_DECLSPEC void mpq_add __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1190 
1191 #define mpq_canonicalize __gmpq_canonicalize
1192 __GMP_DECLSPEC void mpq_canonicalize __GMP_PROTO ((mpq_ptr));
1193 
1194 #define mpq_clear __gmpq_clear
1195 __GMP_DECLSPEC void mpq_clear __GMP_PROTO ((mpq_ptr));
1196 
1197 #define mpq_clears __gmpq_clears
1198 __GMP_DECLSPEC void mpq_clears __GMP_PROTO ((mpq_ptr, ...));
1199 
1200 #define mpq_cmp __gmpq_cmp
1201 __GMP_DECLSPEC int mpq_cmp __GMP_PROTO ((mpq_srcptr, mpq_srcptr)) __GMP_ATTRIBUTE_PURE;
1202 
1203 #define _mpq_cmp_si __gmpq_cmp_si
1204 __GMP_DECLSPEC int _mpq_cmp_si __GMP_PROTO ((mpq_srcptr, long, unsigned long)) __GMP_ATTRIBUTE_PURE;
1205 
1206 #define _mpq_cmp_ui __gmpq_cmp_ui
1207 __GMP_DECLSPEC int _mpq_cmp_ui __GMP_PROTO ((mpq_srcptr, unsigned long int, unsigned long int)) __GMP_ATTRIBUTE_PURE;
1208 
1209 #define mpq_div __gmpq_div
1210 __GMP_DECLSPEC void mpq_div __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1211 
1212 #define mpq_div_2exp __gmpq_div_2exp
1213 __GMP_DECLSPEC void mpq_div_2exp __GMP_PROTO ((mpq_ptr, mpq_srcptr, mp_bitcnt_t));
1214 
1215 #define mpq_equal __gmpq_equal
1216 __GMP_DECLSPEC int mpq_equal __GMP_PROTO ((mpq_srcptr, mpq_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1217 
1218 #define mpq_get_num __gmpq_get_num
1219 __GMP_DECLSPEC void mpq_get_num __GMP_PROTO ((mpz_ptr, mpq_srcptr));
1220 
1221 #define mpq_get_den __gmpq_get_den
1222 __GMP_DECLSPEC void mpq_get_den __GMP_PROTO ((mpz_ptr, mpq_srcptr));
1223 
1224 #define mpq_get_d __gmpq_get_d
1225 __GMP_DECLSPEC double mpq_get_d __GMP_PROTO ((mpq_srcptr)) __GMP_ATTRIBUTE_PURE;
1226 
1227 #define mpq_get_str __gmpq_get_str
1228 __GMP_DECLSPEC char *mpq_get_str __GMP_PROTO ((char *, int, mpq_srcptr));
1229 
1230 #define mpq_init __gmpq_init
1231 __GMP_DECLSPEC void mpq_init __GMP_PROTO ((mpq_ptr));
1232 
1233 #define mpq_inits __gmpq_inits
1234 __GMP_DECLSPEC void mpq_inits __GMP_PROTO ((mpq_ptr, ...));
1235 
1236 #define mpq_inp_str __gmpq_inp_str
1237 #ifdef _GMP_H_HAVE_FILE
1238 __GMP_DECLSPEC size_t mpq_inp_str __GMP_PROTO ((mpq_ptr, FILE *, int));
1239 #endif
1240 
1241 #define mpq_inv __gmpq_inv
1242 __GMP_DECLSPEC void mpq_inv __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1243 
1244 #define mpq_mul __gmpq_mul
1245 __GMP_DECLSPEC void mpq_mul __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1246 
1247 #define mpq_mul_2exp __gmpq_mul_2exp
1248 __GMP_DECLSPEC void mpq_mul_2exp __GMP_PROTO ((mpq_ptr, mpq_srcptr, mp_bitcnt_t));
1249 
1250 #define mpq_neg __gmpq_neg
1251 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_neg)
1252 __GMP_DECLSPEC void mpq_neg __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1253 #endif
1254 
1255 #define mpq_out_str __gmpq_out_str
1256 #ifdef _GMP_H_HAVE_FILE
1257 __GMP_DECLSPEC size_t mpq_out_str __GMP_PROTO ((FILE *, int, mpq_srcptr));
1258 #endif
1259 
1260 #define mpq_set __gmpq_set
1261 __GMP_DECLSPEC void mpq_set __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1262 
1263 #define mpq_set_d __gmpq_set_d
1264 __GMP_DECLSPEC void mpq_set_d __GMP_PROTO ((mpq_ptr, double));
1265 
1266 #define mpq_set_den __gmpq_set_den
1267 __GMP_DECLSPEC void mpq_set_den __GMP_PROTO ((mpq_ptr, mpz_srcptr));
1268 
1269 #define mpq_set_f __gmpq_set_f
1270 __GMP_DECLSPEC void mpq_set_f __GMP_PROTO ((mpq_ptr, mpf_srcptr));
1271 
1272 #define mpq_set_num __gmpq_set_num
1273 __GMP_DECLSPEC void mpq_set_num __GMP_PROTO ((mpq_ptr, mpz_srcptr));
1274 
1275 #define mpq_set_si __gmpq_set_si
1276 __GMP_DECLSPEC void mpq_set_si __GMP_PROTO ((mpq_ptr, signed long int, unsigned long int));
1277 
1278 #define mpq_set_str __gmpq_set_str
1279 __GMP_DECLSPEC int mpq_set_str __GMP_PROTO ((mpq_ptr, __gmp_const char *, int));
1280 
1281 #define mpq_set_ui __gmpq_set_ui
1282 __GMP_DECLSPEC void mpq_set_ui __GMP_PROTO ((mpq_ptr, unsigned long int, unsigned long int));
1283 
1284 #define mpq_set_z __gmpq_set_z
1285 __GMP_DECLSPEC void mpq_set_z __GMP_PROTO ((mpq_ptr, mpz_srcptr));
1286 
1287 #define mpq_sub __gmpq_sub
1288 __GMP_DECLSPEC void mpq_sub __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1289 
1290 #define mpq_swap __gmpq_swap
1291 __GMP_DECLSPEC void mpq_swap __GMP_PROTO ((mpq_ptr, mpq_ptr)) __GMP_NOTHROW;
1292 
1293 
1294 /**************** Float (i.e. F) routines.  ****************/
1295 
1296 #define mpf_abs __gmpf_abs
1297 __GMP_DECLSPEC void mpf_abs __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1298 
1299 #define mpf_add __gmpf_add
1300 __GMP_DECLSPEC void mpf_add __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1301 
1302 #define mpf_add_ui __gmpf_add_ui
1303 __GMP_DECLSPEC void mpf_add_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1304 #define mpf_ceil __gmpf_ceil
1305 __GMP_DECLSPEC void mpf_ceil __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1306 
1307 #define mpf_clear __gmpf_clear
1308 __GMP_DECLSPEC void mpf_clear __GMP_PROTO ((mpf_ptr));
1309 
1310 #define mpf_clears __gmpf_clears
1311 __GMP_DECLSPEC void mpf_clears __GMP_PROTO ((mpf_ptr, ...));
1312 
1313 #define mpf_cmp __gmpf_cmp
1314 __GMP_DECLSPEC int mpf_cmp __GMP_PROTO ((mpf_srcptr, mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1315 
1316 #define mpf_cmp_d __gmpf_cmp_d
1317 __GMP_DECLSPEC int mpf_cmp_d __GMP_PROTO ((mpf_srcptr, double)) __GMP_ATTRIBUTE_PURE;
1318 
1319 #define mpf_cmp_si __gmpf_cmp_si
1320 __GMP_DECLSPEC int mpf_cmp_si __GMP_PROTO ((mpf_srcptr, signed long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1321 
1322 #define mpf_cmp_ui __gmpf_cmp_ui
1323 __GMP_DECLSPEC int mpf_cmp_ui __GMP_PROTO ((mpf_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1324 
1325 #define mpf_div __gmpf_div
1326 __GMP_DECLSPEC void mpf_div __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1327 
1328 #define mpf_div_2exp __gmpf_div_2exp
1329 __GMP_DECLSPEC void mpf_div_2exp __GMP_PROTO ((mpf_ptr, mpf_srcptr, mp_bitcnt_t));
1330 
1331 #define mpf_div_ui __gmpf_div_ui
1332 __GMP_DECLSPEC void mpf_div_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1333 
1334 #define mpf_dump __gmpf_dump
1335 __GMP_DECLSPEC void mpf_dump __GMP_PROTO ((mpf_srcptr));
1336 
1337 #define mpf_eq __gmpf_eq
1338 __GMP_DECLSPEC int mpf_eq __GMP_PROTO ((mpf_srcptr, mpf_srcptr, mp_bitcnt_t)) __GMP_ATTRIBUTE_PURE;
1339 
1340 #define mpf_fits_sint_p __gmpf_fits_sint_p
1341 __GMP_DECLSPEC int mpf_fits_sint_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1342 
1343 #define mpf_fits_slong_p __gmpf_fits_slong_p
1344 __GMP_DECLSPEC int mpf_fits_slong_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1345 
1346 #define mpf_fits_sshort_p __gmpf_fits_sshort_p
1347 __GMP_DECLSPEC int mpf_fits_sshort_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1348 
1349 #define mpf_fits_uint_p __gmpf_fits_uint_p
1350 __GMP_DECLSPEC int mpf_fits_uint_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1351 
1352 #define mpf_fits_ulong_p __gmpf_fits_ulong_p
1353 __GMP_DECLSPEC int mpf_fits_ulong_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1354 
1355 #define mpf_fits_ushort_p __gmpf_fits_ushort_p
1356 __GMP_DECLSPEC int mpf_fits_ushort_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1357 
1358 #define mpf_floor __gmpf_floor
1359 __GMP_DECLSPEC void mpf_floor __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1360 
1361 #define mpf_get_d __gmpf_get_d
1362 __GMP_DECLSPEC double mpf_get_d __GMP_PROTO ((mpf_srcptr)) __GMP_ATTRIBUTE_PURE;
1363 
1364 #define mpf_get_d_2exp __gmpf_get_d_2exp
1365 __GMP_DECLSPEC double mpf_get_d_2exp __GMP_PROTO ((signed long int *, mpf_srcptr));
1366 
1367 #define mpf_get_default_prec __gmpf_get_default_prec
1368 __GMP_DECLSPEC mp_bitcnt_t mpf_get_default_prec __GMP_PROTO ((void)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1369 
1370 #define mpf_get_prec __gmpf_get_prec
1371 __GMP_DECLSPEC mp_bitcnt_t mpf_get_prec __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1372 
1373 #define mpf_get_si __gmpf_get_si
1374 __GMP_DECLSPEC long mpf_get_si __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1375 
1376 #define mpf_get_str __gmpf_get_str
1377 __GMP_DECLSPEC char *mpf_get_str __GMP_PROTO ((char *, mp_exp_t *, int, size_t, mpf_srcptr));
1378 
1379 #define mpf_get_ui __gmpf_get_ui
1380 __GMP_DECLSPEC unsigned long mpf_get_ui __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1381 
1382 #define mpf_init __gmpf_init
1383 __GMP_DECLSPEC void mpf_init __GMP_PROTO ((mpf_ptr));
1384 
1385 #define mpf_init2 __gmpf_init2
1386 __GMP_DECLSPEC void mpf_init2 __GMP_PROTO ((mpf_ptr, mp_bitcnt_t));
1387 
1388 #define mpf_inits __gmpf_inits
1389 __GMP_DECLSPEC void mpf_inits __GMP_PROTO ((mpf_ptr, ...));
1390 
1391 #define mpf_init_set __gmpf_init_set
1392 __GMP_DECLSPEC void mpf_init_set __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1393 
1394 #define mpf_init_set_d __gmpf_init_set_d
1395 __GMP_DECLSPEC void mpf_init_set_d __GMP_PROTO ((mpf_ptr, double));
1396 
1397 #define mpf_init_set_si __gmpf_init_set_si
1398 __GMP_DECLSPEC void mpf_init_set_si __GMP_PROTO ((mpf_ptr, signed long int));
1399 
1400 #define mpf_init_set_str __gmpf_init_set_str
1401 __GMP_DECLSPEC int mpf_init_set_str __GMP_PROTO ((mpf_ptr, __gmp_const char *, int));
1402 
1403 #define mpf_init_set_ui __gmpf_init_set_ui
1404 __GMP_DECLSPEC void mpf_init_set_ui __GMP_PROTO ((mpf_ptr, unsigned long int));
1405 
1406 #define mpf_inp_str __gmpf_inp_str
1407 #ifdef _GMP_H_HAVE_FILE
1408 __GMP_DECLSPEC size_t mpf_inp_str __GMP_PROTO ((mpf_ptr, FILE *, int));
1409 #endif
1410 
1411 #define mpf_integer_p __gmpf_integer_p
1412 __GMP_DECLSPEC int mpf_integer_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1413 
1414 #define mpf_mul __gmpf_mul
1415 __GMP_DECLSPEC void mpf_mul __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1416 
1417 #define mpf_mul_2exp __gmpf_mul_2exp
1418 __GMP_DECLSPEC void mpf_mul_2exp __GMP_PROTO ((mpf_ptr, mpf_srcptr, mp_bitcnt_t));
1419 
1420 #define mpf_mul_ui __gmpf_mul_ui
1421 __GMP_DECLSPEC void mpf_mul_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1422 
1423 #define mpf_neg __gmpf_neg
1424 __GMP_DECLSPEC void mpf_neg __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1425 
1426 #define mpf_out_str __gmpf_out_str
1427 #ifdef _GMP_H_HAVE_FILE
1428 __GMP_DECLSPEC size_t mpf_out_str __GMP_PROTO ((FILE *, int, size_t, mpf_srcptr));
1429 #endif
1430 
1431 #define mpf_pow_ui __gmpf_pow_ui
1432 __GMP_DECLSPEC void mpf_pow_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1433 
1434 #define mpf_random2 __gmpf_random2
1435 __GMP_DECLSPEC void mpf_random2 __GMP_PROTO ((mpf_ptr, mp_size_t, mp_exp_t));
1436 
1437 #define mpf_reldiff __gmpf_reldiff
1438 __GMP_DECLSPEC void mpf_reldiff __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1439 
1440 #define mpf_set __gmpf_set
1441 __GMP_DECLSPEC void mpf_set __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1442 
1443 #define mpf_set_d __gmpf_set_d
1444 __GMP_DECLSPEC void mpf_set_d __GMP_PROTO ((mpf_ptr, double));
1445 
1446 #define mpf_set_default_prec __gmpf_set_default_prec
1447 __GMP_DECLSPEC void mpf_set_default_prec __GMP_PROTO ((mp_bitcnt_t)) __GMP_NOTHROW;
1448 
1449 #define mpf_set_prec __gmpf_set_prec
1450 __GMP_DECLSPEC void mpf_set_prec __GMP_PROTO ((mpf_ptr, mp_bitcnt_t));
1451 
1452 #define mpf_set_prec_raw __gmpf_set_prec_raw
1453 __GMP_DECLSPEC void mpf_set_prec_raw __GMP_PROTO ((mpf_ptr, mp_bitcnt_t)) __GMP_NOTHROW;
1454 
1455 #define mpf_set_q __gmpf_set_q
1456 __GMP_DECLSPEC void mpf_set_q __GMP_PROTO ((mpf_ptr, mpq_srcptr));
1457 
1458 #define mpf_set_si __gmpf_set_si
1459 __GMP_DECLSPEC void mpf_set_si __GMP_PROTO ((mpf_ptr, signed long int));
1460 
1461 #define mpf_set_str __gmpf_set_str
1462 __GMP_DECLSPEC int mpf_set_str __GMP_PROTO ((mpf_ptr, __gmp_const char *, int));
1463 
1464 #define mpf_set_ui __gmpf_set_ui
1465 __GMP_DECLSPEC void mpf_set_ui __GMP_PROTO ((mpf_ptr, unsigned long int));
1466 
1467 #define mpf_set_z __gmpf_set_z
1468 __GMP_DECLSPEC void mpf_set_z __GMP_PROTO ((mpf_ptr, mpz_srcptr));
1469 
1470 #define mpf_size __gmpf_size
1471 __GMP_DECLSPEC size_t mpf_size __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1472 
1473 #define mpf_sqrt __gmpf_sqrt
1474 __GMP_DECLSPEC void mpf_sqrt __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1475 
1476 #define mpf_sqrt_ui __gmpf_sqrt_ui
1477 __GMP_DECLSPEC void mpf_sqrt_ui __GMP_PROTO ((mpf_ptr, unsigned long int));
1478 
1479 #define mpf_sub __gmpf_sub
1480 __GMP_DECLSPEC void mpf_sub __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1481 
1482 #define mpf_sub_ui __gmpf_sub_ui
1483 __GMP_DECLSPEC void mpf_sub_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1484 
1485 #define mpf_swap __gmpf_swap
1486 __GMP_DECLSPEC void mpf_swap __GMP_PROTO ((mpf_ptr, mpf_ptr)) __GMP_NOTHROW;
1487 
1488 #define mpf_trunc __gmpf_trunc
1489 __GMP_DECLSPEC void mpf_trunc __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1490 
1491 #define mpf_ui_div __gmpf_ui_div
1492 __GMP_DECLSPEC void mpf_ui_div __GMP_PROTO ((mpf_ptr, unsigned long int, mpf_srcptr));
1493 
1494 #define mpf_ui_sub __gmpf_ui_sub
1495 __GMP_DECLSPEC void mpf_ui_sub __GMP_PROTO ((mpf_ptr, unsigned long int, mpf_srcptr));
1496 
1497 #define mpf_urandomb __gmpf_urandomb
1498 __GMP_DECLSPEC void mpf_urandomb __GMP_PROTO ((mpf_t, gmp_randstate_t, mp_bitcnt_t));
1499 
1500 
1501 /************ Low level positive-integer (i.e. N) routines.  ************/
1502 
1503 /* This is ugly, but we need to make user calls reach the prefixed function. */
1504 
1505 #define mpn_add __MPN(add)
1506 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add)
1507 __GMP_DECLSPEC mp_limb_t mpn_add __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr,mp_size_t));
1508 #endif
1509 
1510 #define mpn_add_1 __MPN(add_1)
1511 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add_1)
1512 __GMP_DECLSPEC mp_limb_t mpn_add_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)) __GMP_NOTHROW;
1513 #endif
1514 
1515 #define mpn_add_n __MPN(add_n)
1516 __GMP_DECLSPEC mp_limb_t mpn_add_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1517 
1518 #define mpn_addmul_1 __MPN(addmul_1)
1519 __GMP_DECLSPEC mp_limb_t mpn_addmul_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1520 
1521 #define mpn_cmp __MPN(cmp)
1522 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_cmp)
1523 __GMP_DECLSPEC int mpn_cmp __GMP_PROTO ((mp_srcptr, mp_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1524 #endif
1525 
1526 #define mpn_divexact_by3(dst,src,size) \
1527   mpn_divexact_by3c (dst, src, size, __GMP_CAST (mp_limb_t, 0))
1528 
1529 #define mpn_divexact_by3c __MPN(divexact_by3c)
1530 __GMP_DECLSPEC mp_limb_t mpn_divexact_by3c __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1531 
1532 #define mpn_divmod_1(qp,np,nsize,dlimb) \
1533   mpn_divrem_1 (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dlimb)
1534 
1535 #define mpn_divrem __MPN(divrem)
1536 __GMP_DECLSPEC mp_limb_t mpn_divrem __GMP_PROTO ((mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t));
1537 
1538 #define mpn_divrem_1 __MPN(divrem_1)
1539 __GMP_DECLSPEC mp_limb_t mpn_divrem_1 __GMP_PROTO ((mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t));
1540 
1541 #define mpn_divrem_2 __MPN(divrem_2)
1542 __GMP_DECLSPEC mp_limb_t mpn_divrem_2 __GMP_PROTO ((mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr));
1543 
1544 #define mpn_gcd __MPN(gcd)
1545 __GMP_DECLSPEC mp_size_t mpn_gcd __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t));
1546 
1547 #define mpn_gcd_1 __MPN(gcd_1)
1548 __GMP_DECLSPEC mp_limb_t mpn_gcd_1 __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t)) __GMP_ATTRIBUTE_PURE;
1549 
1550 #define mpn_gcdext_1 __MPN(gcdext_1)
1551 __GMP_DECLSPEC mp_limb_t mpn_gcdext_1 __GMP_PROTO ((mp_limb_signed_t *, mp_limb_signed_t *, mp_limb_t, mp_limb_t));
1552 
1553 #define mpn_gcdext __MPN(gcdext)
1554 __GMP_DECLSPEC mp_size_t mpn_gcdext __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t *, mp_ptr, mp_size_t, mp_ptr, mp_size_t));
1555 
1556 #define mpn_get_str __MPN(get_str)
1557 __GMP_DECLSPEC size_t mpn_get_str __GMP_PROTO ((unsigned char *, int, mp_ptr, mp_size_t));
1558 
1559 #define mpn_hamdist __MPN(hamdist)
1560 __GMP_DECLSPEC mp_bitcnt_t mpn_hamdist __GMP_PROTO ((mp_srcptr, mp_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1561 
1562 #define mpn_lshift __MPN(lshift)
1563 __GMP_DECLSPEC mp_limb_t mpn_lshift __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int));
1564 
1565 #define mpn_mod_1 __MPN(mod_1)
1566 __GMP_DECLSPEC mp_limb_t mpn_mod_1 __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t)) __GMP_ATTRIBUTE_PURE;
1567 
1568 #define mpn_mul __MPN(mul)
1569 __GMP_DECLSPEC mp_limb_t mpn_mul __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t));
1570 
1571 #define mpn_mul_1 __MPN(mul_1)
1572 __GMP_DECLSPEC mp_limb_t mpn_mul_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1573 
1574 #define mpn_mul_n __MPN(mul_n)
1575 __GMP_DECLSPEC void mpn_mul_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1576 
1577 #define mpn_sqr __MPN(sqr)
1578 __GMP_DECLSPEC void mpn_sqr __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1579 
1580 #define mpn_neg __MPN(neg)
1581 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_neg)
1582 __GMP_DECLSPEC mp_limb_t mpn_neg __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1583 #endif
1584 
1585 #define mpn_com __MPN(com)
1586 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_com)
1587 __GMP_DECLSPEC void mpn_com __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1588 #endif
1589 
1590 #define mpn_perfect_square_p __MPN(perfect_square_p)
1591 __GMP_DECLSPEC int mpn_perfect_square_p __GMP_PROTO ((mp_srcptr, mp_size_t)) __GMP_ATTRIBUTE_PURE;
1592 
1593 #define mpn_perfect_power_p __MPN(perfect_power_p)
1594 __GMP_DECLSPEC int mpn_perfect_power_p __GMP_PROTO ((mp_srcptr, mp_size_t)) __GMP_ATTRIBUTE_PURE;
1595 
1596 #define mpn_popcount __MPN(popcount)
1597 __GMP_DECLSPEC mp_bitcnt_t mpn_popcount __GMP_PROTO ((mp_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1598 
1599 #define mpn_pow_1 __MPN(pow_1)
1600 __GMP_DECLSPEC mp_size_t mpn_pow_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr));
1601 
1602 /* undocumented now, but retained here for upward compatibility */
1603 #define mpn_preinv_mod_1 __MPN(preinv_mod_1)
1604 __GMP_DECLSPEC mp_limb_t mpn_preinv_mod_1 __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t)) __GMP_ATTRIBUTE_PURE;
1605 
1606 #define mpn_random __MPN(random)
1607 __GMP_DECLSPEC void mpn_random __GMP_PROTO ((mp_ptr, mp_size_t));
1608 
1609 #define mpn_random2 __MPN(random2)
1610 __GMP_DECLSPEC void mpn_random2 __GMP_PROTO ((mp_ptr, mp_size_t));
1611 
1612 #define mpn_rshift __MPN(rshift)
1613 __GMP_DECLSPEC mp_limb_t mpn_rshift __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int));
1614 
1615 #define mpn_scan0 __MPN(scan0)
1616 __GMP_DECLSPEC mp_bitcnt_t mpn_scan0 __GMP_PROTO ((mp_srcptr, mp_bitcnt_t)) __GMP_ATTRIBUTE_PURE;
1617 
1618 #define mpn_scan1 __MPN(scan1)
1619 __GMP_DECLSPEC mp_bitcnt_t mpn_scan1 __GMP_PROTO ((mp_srcptr, mp_bitcnt_t)) __GMP_ATTRIBUTE_PURE;
1620 
1621 #define mpn_set_str __MPN(set_str)
1622 __GMP_DECLSPEC mp_size_t mpn_set_str __GMP_PROTO ((mp_ptr, __gmp_const unsigned char *, size_t, int));
1623 
1624 #define mpn_sqrtrem __MPN(sqrtrem)
1625 __GMP_DECLSPEC mp_size_t mpn_sqrtrem __GMP_PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_size_t));
1626 
1627 #define mpn_sub __MPN(sub)
1628 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub)
1629 __GMP_DECLSPEC mp_limb_t mpn_sub __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr,mp_size_t));
1630 #endif
1631 
1632 #define mpn_sub_1 __MPN(sub_1)
1633 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub_1)
1634 __GMP_DECLSPEC mp_limb_t mpn_sub_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)) __GMP_NOTHROW;
1635 #endif
1636 
1637 #define mpn_sub_n __MPN(sub_n)
1638 __GMP_DECLSPEC mp_limb_t mpn_sub_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1639 
1640 #define mpn_submul_1 __MPN(submul_1)
1641 __GMP_DECLSPEC mp_limb_t mpn_submul_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1642 
1643 #define mpn_tdiv_qr __MPN(tdiv_qr)
1644 __GMP_DECLSPEC void mpn_tdiv_qr __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t));
1645 
1646 #define mpn_and_n __MPN(and_n)
1647 __GMP_DECLSPEC void mpn_and_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1648 #define mpn_andn_n __MPN(andn_n)
1649 __GMP_DECLSPEC void mpn_andn_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1650 #define mpn_nand_n __MPN(nand_n)
1651 __GMP_DECLSPEC void mpn_nand_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1652 #define mpn_ior_n __MPN(ior_n)
1653 __GMP_DECLSPEC void mpn_ior_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1654 #define mpn_iorn_n __MPN(iorn_n)
1655 __GMP_DECLSPEC void mpn_iorn_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1656 #define mpn_nior_n __MPN(nior_n)
1657 __GMP_DECLSPEC void mpn_nior_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1658 #define mpn_xor_n __MPN(xor_n)
1659 __GMP_DECLSPEC void mpn_xor_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1660 #define mpn_xnor_n __MPN(xnor_n)
1661 __GMP_DECLSPEC void mpn_xnor_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1662 
1663 #define mpn_copyi __MPN(copyi)
1664 __GMP_DECLSPEC void mpn_copyi __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1665 #define mpn_copyd __MPN(copyd)
1666 __GMP_DECLSPEC void mpn_copyd __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1667 #define mpn_zero __MPN(zero)
1668 __GMP_DECLSPEC void mpn_zero __GMP_PROTO ((mp_ptr, mp_size_t));
1669 
1670 #define mpn_udiv_w_sdiv __MPN(udiv_w_sdiv)
1671 __GMP_DECLSPEC mp_limb_t mpn_udiv_w_sdiv __GMP_PROTO ((mp_limb_t *, mp_limb_t, mp_limb_t, mp_limb_t));
1672 
1673 
1674 /**************** mpz inlines ****************/
1675 
1676 /* The following are provided as inlines where possible, but always exist as
1677    library functions too, for binary compatibility.
1678 
1679    Within gmp itself this inlining generally isn't relied on, since it
1680    doesn't get done for all compilers, whereas if something is worth
1681    inlining then it's worth arranging always.
1682 
1683    There are two styles of inlining here.  When the same bit of code is
1684    wanted for the inline as for the library version, then __GMP_FORCE_foo
1685    arranges for that code to be emitted and the __GMP_EXTERN_INLINE
1686    directive suppressed, eg. mpz_fits_uint_p.  When a different bit of code
1687    is wanted for the inline than for the library version, then
1688    __GMP_FORCE_foo arranges the inline to be suppressed, eg. mpz_abs.  */
1689 
1690 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_abs)
1691 __GMP_EXTERN_INLINE void
1692 mpz_abs (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1693 {
1694   if (__gmp_w != __gmp_u)
1695     mpz_set (__gmp_w, __gmp_u);
1696   __gmp_w->_mp_size = __GMP_ABS (__gmp_w->_mp_size);
1697 }
1698 #endif
1699 
1700 #if GMP_NAIL_BITS == 0
1701 #define __GMPZ_FITS_UTYPE_P(z,maxval)					\
1702   mp_size_t  __gmp_n = z->_mp_size;					\
1703   mp_ptr  __gmp_p = z->_mp_d;						\
1704   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval));
1705 #else
1706 #define __GMPZ_FITS_UTYPE_P(z,maxval)					\
1707   mp_size_t  __gmp_n = z->_mp_size;					\
1708   mp_ptr  __gmp_p = z->_mp_d;						\
1709   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval)	\
1710 	  || (__gmp_n == 2 && __gmp_p[1] <= ((mp_limb_t) maxval >> GMP_NUMB_BITS)));
1711 #endif
1712 
1713 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_uint_p)
1714 #if ! defined (__GMP_FORCE_mpz_fits_uint_p)
1715 __GMP_EXTERN_INLINE
1716 #endif
1717 int
1718 mpz_fits_uint_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1719 {
1720   __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_UINT_MAX);
1721 }
1722 #endif
1723 
1724 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ulong_p)
1725 #if ! defined (__GMP_FORCE_mpz_fits_ulong_p)
1726 __GMP_EXTERN_INLINE
1727 #endif
1728 int
1729 mpz_fits_ulong_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1730 {
1731   __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_ULONG_MAX);
1732 }
1733 #endif
1734 
1735 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ushort_p)
1736 #if ! defined (__GMP_FORCE_mpz_fits_ushort_p)
1737 __GMP_EXTERN_INLINE
1738 #endif
1739 int
1740 mpz_fits_ushort_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1741 {
1742   __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_USHRT_MAX);
1743 }
1744 #endif
1745 
1746 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_get_ui)
1747 #if ! defined (__GMP_FORCE_mpz_get_ui)
1748 __GMP_EXTERN_INLINE
1749 #endif
1750 unsigned long
1751 mpz_get_ui (mpz_srcptr __gmp_z) __GMP_NOTHROW
1752 {
1753   mp_ptr __gmp_p = __gmp_z->_mp_d;
1754   mp_size_t __gmp_n = __gmp_z->_mp_size;
1755   mp_limb_t __gmp_l = __gmp_p[0];
1756   /* This is a "#if" rather than a plain "if" so as to avoid gcc warnings
1757      about "<< GMP_NUMB_BITS" exceeding the type size, and to avoid Borland
1758      C++ 6.0 warnings about condition always true for something like
1759      "__GMP_ULONG_MAX < GMP_NUMB_MASK".  */
1760 #if GMP_NAIL_BITS == 0 || defined (_LONG_LONG_LIMB)
1761   /* limb==long and no nails, or limb==longlong, one limb is enough */
1762   return (__gmp_n != 0 ? __gmp_l : 0);
1763 #else
1764   /* limb==long and nails, need two limbs when available */
1765   __gmp_n = __GMP_ABS (__gmp_n);
1766   if (__gmp_n <= 1)
1767     return (__gmp_n != 0 ? __gmp_l : 0);
1768   else
1769     return __gmp_l + (__gmp_p[1] << GMP_NUMB_BITS);
1770 #endif
1771 }
1772 #endif
1773 
1774 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_getlimbn)
1775 #if ! defined (__GMP_FORCE_mpz_getlimbn)
1776 __GMP_EXTERN_INLINE
1777 #endif
1778 mp_limb_t
1779 mpz_getlimbn (mpz_srcptr __gmp_z, mp_size_t __gmp_n) __GMP_NOTHROW
1780 {
1781   mp_limb_t  __gmp_result = 0;
1782   if (__GMP_LIKELY (__gmp_n >= 0 && __gmp_n < __GMP_ABS (__gmp_z->_mp_size)))
1783     __gmp_result = __gmp_z->_mp_d[__gmp_n];
1784   return __gmp_result;
1785 }
1786 #endif
1787 
1788 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_neg)
1789 __GMP_EXTERN_INLINE void
1790 mpz_neg (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1791 {
1792   if (__gmp_w != __gmp_u)
1793     mpz_set (__gmp_w, __gmp_u);
1794   __gmp_w->_mp_size = - __gmp_w->_mp_size;
1795 }
1796 #endif
1797 
1798 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_perfect_square_p)
1799 #if ! defined (__GMP_FORCE_mpz_perfect_square_p)
1800 __GMP_EXTERN_INLINE
1801 #endif
1802 int
1803 mpz_perfect_square_p (mpz_srcptr __gmp_a)
1804 {
1805   mp_size_t __gmp_asize;
1806   int       __gmp_result;
1807 
1808   __gmp_asize = __gmp_a->_mp_size;
1809   __gmp_result = (__gmp_asize >= 0);  /* zero is a square, negatives are not */
1810   if (__GMP_LIKELY (__gmp_asize > 0))
1811     __gmp_result = mpn_perfect_square_p (__gmp_a->_mp_d, __gmp_asize);
1812   return __gmp_result;
1813 }
1814 #endif
1815 
1816 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_popcount)
1817 #if ! defined (__GMP_FORCE_mpz_popcount)
1818 __GMP_EXTERN_INLINE
1819 #endif
1820 mp_bitcnt_t
1821 mpz_popcount (mpz_srcptr __gmp_u) __GMP_NOTHROW
1822 {
1823   mp_size_t      __gmp_usize;
1824   mp_bitcnt_t    __gmp_result;
1825 
1826   __gmp_usize = __gmp_u->_mp_size;
1827   __gmp_result = (__gmp_usize < 0 ? __GMP_ULONG_MAX : 0);
1828   if (__GMP_LIKELY (__gmp_usize > 0))
1829     __gmp_result =  mpn_popcount (__gmp_u->_mp_d, __gmp_usize);
1830   return __gmp_result;
1831 }
1832 #endif
1833 
1834 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_set_q)
1835 #if ! defined (__GMP_FORCE_mpz_set_q)
1836 __GMP_EXTERN_INLINE
1837 #endif
1838 void
1839 mpz_set_q (mpz_ptr __gmp_w, mpq_srcptr __gmp_u)
1840 {
1841   mpz_tdiv_q (__gmp_w, mpq_numref (__gmp_u), mpq_denref (__gmp_u));
1842 }
1843 #endif
1844 
1845 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_size)
1846 #if ! defined (__GMP_FORCE_mpz_size)
1847 __GMP_EXTERN_INLINE
1848 #endif
1849 size_t
1850 mpz_size (mpz_srcptr __gmp_z) __GMP_NOTHROW
1851 {
1852   return __GMP_ABS (__gmp_z->_mp_size);
1853 }
1854 #endif
1855 
1856 
1857 /**************** mpq inlines ****************/
1858 
1859 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_abs)
1860 __GMP_EXTERN_INLINE void
1861 mpq_abs (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1862 {
1863   if (__gmp_w != __gmp_u)
1864     mpq_set (__gmp_w, __gmp_u);
1865   __gmp_w->_mp_num._mp_size = __GMP_ABS (__gmp_w->_mp_num._mp_size);
1866 }
1867 #endif
1868 
1869 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_neg)
1870 __GMP_EXTERN_INLINE void
1871 mpq_neg (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1872 {
1873   if (__gmp_w != __gmp_u)
1874     mpq_set (__gmp_w, __gmp_u);
1875   __gmp_w->_mp_num._mp_size = - __gmp_w->_mp_num._mp_size;
1876 }
1877 #endif
1878 
1879 
1880 /**************** mpn inlines ****************/
1881 
1882 /* The comments with __GMPN_ADD_1 below apply here too.
1883 
1884    The test for FUNCTION returning 0 should predict well.  If it's assumed
1885    {yp,ysize} will usually have a random number of bits then the high limb
1886    won't be full and a carry out will occur a good deal less than 50% of the
1887    time.
1888 
1889    ysize==0 isn't a documented feature, but is used internally in a few
1890    places.
1891 
1892    Producing cout last stops it using up a register during the main part of
1893    the calculation, though gcc (as of 3.0) on an "if (mpn_add (...))"
1894    doesn't seem able to move the true and false legs of the conditional up
1895    to the two places cout is generated.  */
1896 
1897 #define __GMPN_AORS(cout, wp, xp, xsize, yp, ysize, FUNCTION, TEST)     \
1898   do {                                                                  \
1899     mp_size_t  __gmp_i;                                                 \
1900     mp_limb_t  __gmp_x;                                                 \
1901                                                                         \
1902     /* ASSERT ((ysize) >= 0); */                                        \
1903     /* ASSERT ((xsize) >= (ysize)); */                                  \
1904     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, xp, xsize)); */      \
1905     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, yp, ysize)); */      \
1906                                                                         \
1907     __gmp_i = (ysize);                                                  \
1908     if (__gmp_i != 0)                                                   \
1909       {                                                                 \
1910         if (FUNCTION (wp, xp, yp, __gmp_i))                             \
1911           {                                                             \
1912             do                                                          \
1913               {                                                         \
1914                 if (__gmp_i >= (xsize))                                 \
1915                   {                                                     \
1916                     (cout) = 1;                                         \
1917                     goto __gmp_done;                                    \
1918                   }                                                     \
1919                 __gmp_x = (xp)[__gmp_i];                                \
1920               }                                                         \
1921             while (TEST);                                               \
1922           }                                                             \
1923       }                                                                 \
1924     if ((wp) != (xp))                                                   \
1925       __GMPN_COPY_REST (wp, xp, xsize, __gmp_i);                        \
1926     (cout) = 0;                                                         \
1927   __gmp_done:                                                           \
1928     ;                                                                   \
1929   } while (0)
1930 
1931 #define __GMPN_ADD(cout, wp, xp, xsize, yp, ysize)              \
1932   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_add_n,       \
1933                (((wp)[__gmp_i++] = (__gmp_x + 1) & GMP_NUMB_MASK) == 0))
1934 #define __GMPN_SUB(cout, wp, xp, xsize, yp, ysize)              \
1935   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_sub_n,       \
1936                (((wp)[__gmp_i++] = (__gmp_x - 1) & GMP_NUMB_MASK), __gmp_x == 0))
1937 
1938 
1939 /* The use of __gmp_i indexing is designed to ensure a compile time src==dst
1940    remains nice and clear to the compiler, so that __GMPN_COPY_REST can
1941    disappear, and the load/add/store gets a chance to become a
1942    read-modify-write on CISC CPUs.
1943 
1944    Alternatives:
1945 
1946    Using a pair of pointers instead of indexing would be possible, but gcc
1947    isn't able to recognise compile-time src==dst in that case, even when the
1948    pointers are incremented more or less together.  Other compilers would
1949    very likely have similar difficulty.
1950 
1951    gcc could use "if (__builtin_constant_p(src==dst) && src==dst)" or
1952    similar to detect a compile-time src==dst.  This works nicely on gcc
1953    2.95.x, it's not good on gcc 3.0 where __builtin_constant_p(p==p) seems
1954    to be always false, for a pointer p.  But the current code form seems
1955    good enough for src==dst anyway.
1956 
1957    gcc on x86 as usual doesn't give particularly good flags handling for the
1958    carry/borrow detection.  It's tempting to want some multi instruction asm
1959    blocks to help it, and this was tried, but in truth there's only a few
1960    instructions to save and any gain is all too easily lost by register
1961    juggling setting up for the asm.  */
1962 
1963 #if GMP_NAIL_BITS == 0
1964 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
1965   do {								\
1966     mp_size_t  __gmp_i;						\
1967     mp_limb_t  __gmp_x, __gmp_r;                                \
1968 								\
1969     /* ASSERT ((n) >= 1); */					\
1970     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
1971 								\
1972     __gmp_x = (src)[0];						\
1973     __gmp_r = __gmp_x OP (v);                                   \
1974     (dst)[0] = __gmp_r;						\
1975     if (CB (__gmp_r, __gmp_x, (v)))                             \
1976       {								\
1977 	(cout) = 1;						\
1978 	for (__gmp_i = 1; __gmp_i < (n);)                       \
1979 	  {							\
1980 	    __gmp_x = (src)[__gmp_i];                           \
1981 	    __gmp_r = __gmp_x OP 1;                             \
1982 	    (dst)[__gmp_i] = __gmp_r;                           \
1983 	    ++__gmp_i;						\
1984 	    if (!CB (__gmp_r, __gmp_x, 1))                      \
1985 	      {							\
1986 		if ((src) != (dst))				\
1987 		  __GMPN_COPY_REST (dst, src, n, __gmp_i);      \
1988 		(cout) = 0;					\
1989 		break;						\
1990 	      }							\
1991 	  }							\
1992       }								\
1993     else							\
1994       {								\
1995 	if ((src) != (dst))					\
1996 	  __GMPN_COPY_REST (dst, src, n, 1);			\
1997 	(cout) = 0;						\
1998       }								\
1999   } while (0)
2000 #endif
2001 
2002 #if GMP_NAIL_BITS >= 1
2003 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
2004   do {								\
2005     mp_size_t  __gmp_i;						\
2006     mp_limb_t  __gmp_x, __gmp_r;				\
2007 								\
2008     /* ASSERT ((n) >= 1); */					\
2009     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
2010 								\
2011     __gmp_x = (src)[0];						\
2012     __gmp_r = __gmp_x OP (v);					\
2013     (dst)[0] = __gmp_r & GMP_NUMB_MASK;				\
2014     if (__gmp_r >> GMP_NUMB_BITS != 0)				\
2015       {								\
2016 	(cout) = 1;						\
2017 	for (__gmp_i = 1; __gmp_i < (n);)			\
2018 	  {							\
2019 	    __gmp_x = (src)[__gmp_i];				\
2020 	    __gmp_r = __gmp_x OP 1;				\
2021 	    (dst)[__gmp_i] = __gmp_r & GMP_NUMB_MASK;		\
2022 	    ++__gmp_i;						\
2023 	    if (__gmp_r >> GMP_NUMB_BITS == 0)			\
2024 	      {							\
2025 		if ((src) != (dst))				\
2026 		  __GMPN_COPY_REST (dst, src, n, __gmp_i);	\
2027 		(cout) = 0;					\
2028 		break;						\
2029 	      }							\
2030 	  }							\
2031       }								\
2032     else							\
2033       {								\
2034 	if ((src) != (dst))					\
2035 	  __GMPN_COPY_REST (dst, src, n, 1);			\
2036 	(cout) = 0;						\
2037       }								\
2038   } while (0)
2039 #endif
2040 
2041 #define __GMPN_ADDCB(r,x,y) ((r) < (y))
2042 #define __GMPN_SUBCB(r,x,y) ((x) < (y))
2043 
2044 #define __GMPN_ADD_1(cout, dst, src, n, v)	     \
2045   __GMPN_AORS_1(cout, dst, src, n, v, +, __GMPN_ADDCB)
2046 #define __GMPN_SUB_1(cout, dst, src, n, v)	     \
2047   __GMPN_AORS_1(cout, dst, src, n, v, -, __GMPN_SUBCB)
2048 
2049 
2050 /* Compare {xp,size} and {yp,size}, setting "result" to positive, zero or
2051    negative.  size==0 is allowed.  On random data usually only one limb will
2052    need to be examined to get a result, so it's worth having it inline.  */
2053 #define __GMPN_CMP(result, xp, yp, size)                                \
2054   do {                                                                  \
2055     mp_size_t  __gmp_i;                                                 \
2056     mp_limb_t  __gmp_x, __gmp_y;                                        \
2057                                                                         \
2058     /* ASSERT ((size) >= 0); */                                         \
2059                                                                         \
2060     (result) = 0;                                                       \
2061     __gmp_i = (size);                                                   \
2062     while (--__gmp_i >= 0)                                              \
2063       {                                                                 \
2064         __gmp_x = (xp)[__gmp_i];                                        \
2065         __gmp_y = (yp)[__gmp_i];                                        \
2066         if (__gmp_x != __gmp_y)                                         \
2067           {                                                             \
2068             /* Cannot use __gmp_x - __gmp_y, may overflow an "int" */   \
2069             (result) = (__gmp_x > __gmp_y ? 1 : -1);                    \
2070             break;                                                      \
2071           }                                                             \
2072       }                                                                 \
2073   } while (0)
2074 
2075 
2076 #if defined (__GMPN_COPY) && ! defined (__GMPN_COPY_REST)
2077 #define __GMPN_COPY_REST(dst, src, size, start)                 \
2078   do {                                                          \
2079     /* ASSERT ((start) >= 0); */                                \
2080     /* ASSERT ((start) <= (size)); */                           \
2081     __GMPN_COPY ((dst)+(start), (src)+(start), (size)-(start)); \
2082   } while (0)
2083 #endif
2084 
2085 /* Copy {src,size} to {dst,size}, starting at "start".  This is designed to
2086    keep the indexing dst[j] and src[j] nice and simple for __GMPN_ADD_1,
2087    __GMPN_ADD, etc.  */
2088 #if ! defined (__GMPN_COPY_REST)
2089 #define __GMPN_COPY_REST(dst, src, size, start)                 \
2090   do {                                                          \
2091     mp_size_t __gmp_j;                                          \
2092     /* ASSERT ((size) >= 0); */                                 \
2093     /* ASSERT ((start) >= 0); */                                \
2094     /* ASSERT ((start) <= (size)); */                           \
2095     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */     \
2096     __GMP_CRAY_Pragma ("_CRI ivdep");                           \
2097     for (__gmp_j = (start); __gmp_j < (size); __gmp_j++)        \
2098       (dst)[__gmp_j] = (src)[__gmp_j];                          \
2099   } while (0)
2100 #endif
2101 
2102 /* Enhancement: Use some of the smarter code from gmp-impl.h.  Maybe use
2103    mpn_copyi if there's a native version, and if we don't mind demanding
2104    binary compatibility for it (on targets which use it).  */
2105 
2106 #if ! defined (__GMPN_COPY)
2107 #define __GMPN_COPY(dst, src, size)   __GMPN_COPY_REST (dst, src, size, 0)
2108 #endif
2109 
2110 
2111 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add)
2112 #if ! defined (__GMP_FORCE_mpn_add)
2113 __GMP_EXTERN_INLINE
2114 #endif
2115 mp_limb_t
2116 mpn_add (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2117 {
2118   mp_limb_t  __gmp_c;
2119   __GMPN_ADD (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2120   return __gmp_c;
2121 }
2122 #endif
2123 
2124 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add_1)
2125 #if ! defined (__GMP_FORCE_mpn_add_1)
2126 __GMP_EXTERN_INLINE
2127 #endif
2128 mp_limb_t
2129 mpn_add_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2130 {
2131   mp_limb_t  __gmp_c;
2132   __GMPN_ADD_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2133   return __gmp_c;
2134 }
2135 #endif
2136 
2137 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_cmp)
2138 #if ! defined (__GMP_FORCE_mpn_cmp)
2139 __GMP_EXTERN_INLINE
2140 #endif
2141 int
2142 mpn_cmp (mp_srcptr __gmp_xp, mp_srcptr __gmp_yp, mp_size_t __gmp_size) __GMP_NOTHROW
2143 {
2144   int __gmp_result;
2145   __GMPN_CMP (__gmp_result, __gmp_xp, __gmp_yp, __gmp_size);
2146   return __gmp_result;
2147 }
2148 #endif
2149 
2150 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub)
2151 #if ! defined (__GMP_FORCE_mpn_sub)
2152 __GMP_EXTERN_INLINE
2153 #endif
2154 mp_limb_t
2155 mpn_sub (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2156 {
2157   mp_limb_t  __gmp_c;
2158   __GMPN_SUB (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2159   return __gmp_c;
2160 }
2161 #endif
2162 
2163 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub_1)
2164 #if ! defined (__GMP_FORCE_mpn_sub_1)
2165 __GMP_EXTERN_INLINE
2166 #endif
2167 mp_limb_t
2168 mpn_sub_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2169 {
2170   mp_limb_t  __gmp_c;
2171   __GMPN_SUB_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2172   return __gmp_c;
2173 }
2174 #endif
2175 
2176 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_neg)
2177 #if ! defined (__GMP_FORCE_mpn_neg)
2178 __GMP_EXTERN_INLINE
2179 #endif
2180 mp_limb_t
2181 mpn_neg (mp_ptr __gmp_rp, mp_srcptr __gmp_up, mp_size_t __gmp_n)
2182 {
2183   mp_limb_t __gmp_ul, __gmp_cy;
2184   __gmp_cy = 0;
2185   do {
2186       __gmp_ul = *__gmp_up++;
2187       *__gmp_rp++ = -__gmp_ul - __gmp_cy;
2188       __gmp_cy |= __gmp_ul != 0;
2189   } while (--__gmp_n != 0);
2190   return __gmp_cy;
2191 }
2192 #endif
2193 
2194 #if defined (__cplusplus)
2195 }
2196 #endif
2197 
2198 
2199 /* Allow faster testing for negative, zero, and positive.  */
2200 #define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0)
2201 #define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0)
2202 #define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0)
2203 
2204 /* When using GCC, optimize certain common comparisons.  */
2205 #if defined (__GNUC__) && __GNUC__ >= 2
2206 #define mpz_cmp_ui(Z,UI) \
2207   (__builtin_constant_p (UI) && (UI) == 0				\
2208    ? mpz_sgn (Z) : _mpz_cmp_ui (Z,UI))
2209 #define mpz_cmp_si(Z,SI) \
2210   (__builtin_constant_p (SI) && (SI) == 0 ? mpz_sgn (Z)			\
2211    : __builtin_constant_p (SI) && (SI) > 0				\
2212     ? _mpz_cmp_ui (Z, __GMP_CAST (unsigned long int, SI))		\
2213    : _mpz_cmp_si (Z,SI))
2214 #define mpq_cmp_ui(Q,NUI,DUI) \
2215   (__builtin_constant_p (NUI) && (NUI) == 0				\
2216    ? mpq_sgn (Q) : _mpq_cmp_ui (Q,NUI,DUI))
2217 #define mpq_cmp_si(q,n,d)                       \
2218   (__builtin_constant_p ((n) >= 0) && (n) >= 0  \
2219    ? mpq_cmp_ui (q, __GMP_CAST (unsigned long, n), d) \
2220    : _mpq_cmp_si (q, n, d))
2221 #else
2222 #define mpz_cmp_ui(Z,UI) _mpz_cmp_ui (Z,UI)
2223 #define mpz_cmp_si(Z,UI) _mpz_cmp_si (Z,UI)
2224 #define mpq_cmp_ui(Q,NUI,DUI) _mpq_cmp_ui (Q,NUI,DUI)
2225 #define mpq_cmp_si(q,n,d)  _mpq_cmp_si(q,n,d)
2226 #endif
2227 
2228 
2229 /* Using "&" rather than "&&" means these can come out branch-free.  Every
2230    mpz_t has at least one limb allocated, so fetching the low limb is always
2231    allowed.  */
2232 #define mpz_odd_p(z)   (((z)->_mp_size != 0) & __GMP_CAST (int, (z)->_mp_d[0]))
2233 #define mpz_even_p(z)  (! mpz_odd_p (z))
2234 
2235 
2236 /**************** C++ routines ****************/
2237 
2238 #ifdef __cplusplus
2239 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpz_srcptr);
2240 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpq_srcptr);
2241 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpf_srcptr);
2242 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpz_ptr);
2243 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpq_ptr);
2244 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpf_ptr);
2245 #endif
2246 
2247 
2248 /* Source-level compatibility with GMP 2 and earlier. */
2249 #define mpn_divmod(qp,np,nsize,dp,dsize) \
2250   mpn_divrem (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dp, dsize)
2251 
2252 /* Source-level compatibility with GMP 1.  */
2253 #define mpz_mdiv	mpz_fdiv_q
2254 #define mpz_mdivmod	mpz_fdiv_qr
2255 #define mpz_mmod	mpz_fdiv_r
2256 #define mpz_mdiv_ui	mpz_fdiv_q_ui
2257 #define mpz_mdivmod_ui(q,r,n,d) \
2258   (((r) == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d))
2259 #define mpz_mmod_ui(r,n,d) \
2260   (((r) == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d))
2261 
2262 /* Useful synonyms, but not quite compatible with GMP 1.  */
2263 #define mpz_div		mpz_fdiv_q
2264 #define mpz_divmod	mpz_fdiv_qr
2265 #define mpz_div_ui	mpz_fdiv_q_ui
2266 #define mpz_divmod_ui	mpz_fdiv_qr_ui
2267 #define mpz_div_2exp	mpz_fdiv_q_2exp
2268 #define mpz_mod_2exp	mpz_fdiv_r_2exp
2269 
2270 enum
2271 {
2272   GMP_ERROR_NONE = 0,
2273   GMP_ERROR_UNSUPPORTED_ARGUMENT = 1,
2274   GMP_ERROR_DIVISION_BY_ZERO = 2,
2275   GMP_ERROR_SQRT_OF_NEGATIVE = 4,
2276   GMP_ERROR_INVALID_ARGUMENT = 8
2277 };
2278 
2279 /* Define CC and CFLAGS which were used to build this version of GMP */
2280 #define __GMP_CC "/var/obj/algor/usr/src3/tooldir.NetBSD-5.99.48-amd64/bin/mips64el--netbsd-gcc --sysroot=/var/obj/algor/usr/src3/destdir.algor -L/var/obj/algor/usr/src3/destdir.algor/lib -L/var/obj/algor/usr/src3/destdir.algor/usr/lib -B/var/obj/algor/usr/src3/destdir.algor/usr/lib/ -I/var/tmp/gmp/mips64el/.native/gcc/include -std=gnu99"
2281 #define __GMP_CFLAGS "-O2 -mabi=n32"
2282 
2283 /* Major version number is the value of __GNU_MP__ too, above and in mp.h. */
2284 #define __GNU_MP_VERSION 5
2285 #define __GNU_MP_VERSION_MINOR 0
2286 #define __GNU_MP_VERSION_PATCHLEVEL 2
2287 #define __GMP_MP_RELEASE (__GNU_MP_VERSION * 10000 + __GNU_MP_VERSION_MINOR * 100 + __GNU_MP_VERSION_PATCHLEVEL)
2288 
2289 #define __GMP_H__
2290 #endif /* __GMP_H__ */
2291