xref: /netbsd-src/external/lgpl3/gmp/lib/libgmp/arch/sparc64/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 _LP64
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 /* #undef _LONG_LONG_LIMB */
63 #define __GMP_LIBGMP_DLL  0
64 #endif
65 
66 
67 /* __STDC__ - some ANSI compilers define this only to 0, hence the use of
68        "defined" and not "__STDC__-0".  In particular Sun workshop C 5.0
69        sets __STDC__ to 0, but requires "##" for token pasting.
70 
71    _AIX - gnu ansidecl.h asserts that all known AIX compilers are ANSI but
72        don't always define __STDC__.
73 
74    __DECC - current versions of DEC C (5.9 for instance) for alpha are ANSI,
75        but don't define __STDC__ in their default mode.  Don't know if old
76        versions might have been K&R, but let's not worry about that unless
77        someone is still using one.
78 
79    _mips - gnu ansidecl.h says the RISC/OS MIPS compiler is ANSI in SVR4
80        mode, but doesn't define __STDC__.
81 
82    _MSC_VER - Microsoft C is ANSI, but __STDC__ is undefined unless the /Za
83        option is given (in which case it's 1).
84 
85    _WIN32 - tested for by gnu ansidecl.h, no doubt on the assumption that
86       all w32 compilers are ansi.
87 
88    Note: This same set of tests is used by gen-psqr.c and
89    demos/expr/expr-impl.h, so if anything needs adding, then be sure to
90    update those too.  */
91 
92 #if  defined (__STDC__)                                 \
93   || defined (__cplusplus)                              \
94   || defined (_AIX)                                     \
95   || defined (__DECC)                                   \
96   || (defined (__mips) && defined (_SYSTYPE_SVR4))      \
97   || defined (_MSC_VER)                                 \
98   || defined (_WIN32)
99 #define __GMP_HAVE_CONST        1
100 #define __GMP_HAVE_PROTOTYPES   1
101 #define __GMP_HAVE_TOKEN_PASTE  1
102 #else
103 #define __GMP_HAVE_CONST        0
104 #define __GMP_HAVE_PROTOTYPES   0
105 #define __GMP_HAVE_TOKEN_PASTE  0
106 #endif
107 
108 
109 #if __GMP_HAVE_CONST
110 #define __gmp_const   const
111 #define __gmp_signed  signed
112 #else
113 #define __gmp_const
114 #define __gmp_signed
115 #endif
116 
117 
118 /* __GMP_DECLSPEC supports Windows DLL versions of libgmp, and is empty in
119    all other circumstances.
120 
121    When compiling objects for libgmp, __GMP_DECLSPEC is an export directive,
122    or when compiling for an application it's an import directive.  The two
123    cases are differentiated by __GMP_WITHIN_GMP defined by the GMP Makefiles
124    (and not defined from an application).
125 
126    __GMP_DECLSPEC_XX is similarly used for libgmpxx.  __GMP_WITHIN_GMPXX
127    indicates when building libgmpxx, and in that case libgmpxx functions are
128    exports, but libgmp functions which might get called are imports.
129 
130    libmp.la uses __GMP_DECLSPEC, just as if it were libgmp.la.  libgmp and
131    libmp don't call each other, so there's no conflict or confusion.
132 
133    Libtool DLL_EXPORT define is not used.
134 
135    There's no attempt to support GMP built both static and DLL.  Doing so
136    would mean applications would have to tell us which of the two is going
137    to be used when linking, and that seems very tedious and error prone if
138    using GMP by hand, and equally tedious from a package since autoconf and
139    automake don't give much help.
140 
141    __GMP_DECLSPEC is required on all documented global functions and
142    variables, the various internals in gmp-impl.h etc can be left unadorned.
143    But internals used by the test programs or speed measuring programs
144    should have __GMP_DECLSPEC, and certainly constants or variables must
145    have it or the wrong address will be resolved.
146 
147    In gcc __declspec can go at either the start or end of a prototype.
148 
149    In Microsoft C __declspec must go at the start, or after the type like
150    void __declspec(...) *foo()".  There's no __dllexport or anything to
151    guard against someone foolish #defining dllexport.  _export used to be
152    available, but no longer.
153 
154    In Borland C _export still exists, but needs to go after the type, like
155    "void _export foo();".  Would have to change the __GMP_DECLSPEC syntax to
156    make use of that.  Probably more trouble than it's worth.  */
157 
158 #if defined (__GNUC__)
159 #define __GMP_DECLSPEC_EXPORT  __declspec(__dllexport__)
160 #define __GMP_DECLSPEC_IMPORT  __declspec(__dllimport__)
161 #endif
162 #if defined (_MSC_VER) || defined (__BORLANDC__)
163 #define __GMP_DECLSPEC_EXPORT  __declspec(dllexport)
164 #define __GMP_DECLSPEC_IMPORT  __declspec(dllimport)
165 #endif
166 #ifdef __WATCOMC__
167 #define __GMP_DECLSPEC_EXPORT  __export
168 #define __GMP_DECLSPEC_IMPORT  __import
169 #endif
170 #ifdef __IBMC__
171 #define __GMP_DECLSPEC_EXPORT  _Export
172 #define __GMP_DECLSPEC_IMPORT  _Import
173 #endif
174 
175 #if __GMP_LIBGMP_DLL
176 #if __GMP_WITHIN_GMP
177 /* compiling to go into a DLL libgmp */
178 #define __GMP_DECLSPEC  __GMP_DECLSPEC_EXPORT
179 #else
180 /* compiling to go into an application which will link to a DLL libgmp */
181 #define __GMP_DECLSPEC  __GMP_DECLSPEC_IMPORT
182 #endif
183 #else
184 /* all other cases */
185 #define __GMP_DECLSPEC
186 #endif
187 
188 
189 #ifdef __GMP_SHORT_LIMB
190 typedef unsigned int		mp_limb_t;
191 typedef int			mp_limb_signed_t;
192 #else
193 #ifdef _LONG_LONG_LIMB
194 typedef unsigned long long int	mp_limb_t;
195 typedef long long int		mp_limb_signed_t;
196 #else
197 typedef unsigned long int	mp_limb_t;
198 typedef long int		mp_limb_signed_t;
199 #endif
200 #endif
201 typedef unsigned long int	mp_bitcnt_t;
202 
203 /* For reference, note that the name __mpz_struct gets into C++ mangled
204    function names, which means although the "__" suggests an internal, we
205    must leave this name for binary compatibility.  */
206 typedef struct
207 {
208   int _mp_alloc;		/* Number of *limbs* allocated and pointed
209 				   to by the _mp_d field.  */
210   int _mp_size;			/* abs(_mp_size) is the number of limbs the
211 				   last field points to.  If _mp_size is
212 				   negative this is a negative number.  */
213   mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
214 } __mpz_struct;
215 
216 #endif /* __GNU_MP__ */
217 
218 
219 typedef __mpz_struct MP_INT;    /* gmp 1 source compatibility */
220 typedef __mpz_struct mpz_t[1];
221 
222 typedef mp_limb_t *		mp_ptr;
223 typedef __gmp_const mp_limb_t *	mp_srcptr;
224 #if defined (_CRAY) && ! defined (_CRAYMPP)
225 /* plain `int' is much faster (48 bits) */
226 #define __GMP_MP_SIZE_T_INT     1
227 typedef int			mp_size_t;
228 typedef int			mp_exp_t;
229 #else
230 #define __GMP_MP_SIZE_T_INT     0
231 typedef long int		mp_size_t;
232 typedef long int		mp_exp_t;
233 #endif
234 
235 typedef struct
236 {
237   __mpz_struct _mp_num;
238   __mpz_struct _mp_den;
239 } __mpq_struct;
240 
241 typedef __mpq_struct MP_RAT;    /* gmp 1 source compatibility */
242 typedef __mpq_struct mpq_t[1];
243 
244 typedef struct
245 {
246   int _mp_prec;			/* Max precision, in number of `mp_limb_t's.
247 				   Set by mpf_init and modified by
248 				   mpf_set_prec.  The area pointed to by the
249 				   _mp_d field contains `prec' + 1 limbs.  */
250   int _mp_size;			/* abs(_mp_size) is the number of limbs the
251 				   last field points to.  If _mp_size is
252 				   negative this is a negative number.  */
253   mp_exp_t _mp_exp;		/* Exponent, in the base of `mp_limb_t'.  */
254   mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
255 } __mpf_struct;
256 
257 /* typedef __mpf_struct MP_FLOAT; */
258 typedef __mpf_struct mpf_t[1];
259 
260 /* Available random number generation algorithms.  */
261 typedef enum
262 {
263   GMP_RAND_ALG_DEFAULT = 0,
264   GMP_RAND_ALG_LC = GMP_RAND_ALG_DEFAULT /* Linear congruential.  */
265 } gmp_randalg_t;
266 
267 /* Random state struct.  */
268 typedef struct
269 {
270   mpz_t _mp_seed;	  /* _mp_d member points to state of the generator. */
271   gmp_randalg_t _mp_alg;  /* Currently unused. */
272   union {
273     void *_mp_lc;         /* Pointer to function pointers structure.  */
274   } _mp_algdata;
275 } __gmp_randstate_struct;
276 typedef __gmp_randstate_struct gmp_randstate_t[1];
277 
278 /* Types for function declarations in gmp files.  */
279 /* ??? Should not pollute user name space with these ??? */
280 typedef __gmp_const __mpz_struct *mpz_srcptr;
281 typedef __mpz_struct *mpz_ptr;
282 typedef __gmp_const __mpf_struct *mpf_srcptr;
283 typedef __mpf_struct *mpf_ptr;
284 typedef __gmp_const __mpq_struct *mpq_srcptr;
285 typedef __mpq_struct *mpq_ptr;
286 
287 
288 /* This is not wanted in mp.h, so put it outside the __GNU_MP__ common
289    section. */
290 #if __GMP_LIBGMP_DLL
291 #if __GMP_WITHIN_GMPXX
292 /* compiling to go into a DLL libgmpxx */
293 #define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_EXPORT
294 #else
295 /* compiling to go into a application which will link to a DLL libgmpxx */
296 #define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_IMPORT
297 #endif
298 #else
299 /* all other cases */
300 #define __GMP_DECLSPEC_XX
301 #endif
302 
303 
304 #if __GMP_HAVE_PROTOTYPES
305 #define __GMP_PROTO(x) x
306 #else
307 #define __GMP_PROTO(x) ()
308 #endif
309 
310 #ifndef __MPN
311 #if __GMP_HAVE_TOKEN_PASTE
312 #define __MPN(x) __gmpn_##x
313 #else
314 #define __MPN(x) __gmpn_/**/x
315 #endif
316 #endif
317 
318 /* For reference, "defined(EOF)" cannot be used here.  In g++ 2.95.4,
319    <iostream> defines EOF but not FILE.  */
320 #if defined (FILE)                                              \
321   || defined (H_STDIO)                                          \
322   || defined (_H_STDIO)               /* AIX */                 \
323   || defined (_STDIO_H)               /* glibc, Sun, SCO */     \
324   || defined (_STDIO_H_)              /* BSD, OSF */            \
325   || defined (__STDIO_H)              /* Borland */             \
326   || defined (__STDIO_H__)            /* IRIX */                \
327   || defined (_STDIO_INCLUDED)        /* HPUX */                \
328   || defined (__dj_include_stdio_h_)  /* DJGPP */               \
329   || defined (_FILE_DEFINED)          /* Microsoft */           \
330   || defined (__STDIO__)              /* Apple MPW MrC */       \
331   || defined (_MSL_STDIO_H)           /* Metrowerks */          \
332   || defined (_STDIO_H_INCLUDED)      /* QNX4 */		\
333   || defined (_ISO_STDIO_ISO_H)       /* Sun C++ */
334 #define _GMP_H_HAVE_FILE 1
335 #endif
336 
337 /* In ISO C, if a prototype involving "struct obstack *" is given without
338    that structure defined, then the struct is scoped down to just the
339    prototype, causing a conflict if it's subsequently defined for real.  So
340    only give prototypes if we've got obstack.h.  */
341 #if defined (_OBSTACK_H)   /* glibc <obstack.h> */
342 #define _GMP_H_HAVE_OBSTACK 1
343 #endif
344 
345 /* The prototypes for gmp_vprintf etc are provided only if va_list is
346    available, via an application having included <stdarg.h> or <varargs.h>.
347    Usually va_list is a typedef so can't be tested directly, but C99
348    specifies that va_start is a macro (and it was normally a macro on past
349    systems too), so look for that.
350 
351    <stdio.h> will define some sort of va_list for vprintf and vfprintf, but
352    let's not bother trying to use that since it's not standard and since
353    application uses for gmp_vprintf etc will almost certainly require the
354    whole <stdarg.h> or <varargs.h> anyway.  */
355 
356 #ifdef va_start
357 #define _GMP_H_HAVE_VA_LIST 1
358 #endif
359 
360 /* Test for gcc >= maj.min, as per __GNUC_PREREQ in glibc */
361 #if defined (__GNUC__) && defined (__GNUC_MINOR__)
362 #define __GMP_GNUC_PREREQ(maj, min) \
363   ((__GNUC__ << 16) + __GNUC_MINOR__ >= ((maj) << 16) + (min))
364 #else
365 #define __GMP_GNUC_PREREQ(maj, min)  0
366 #endif
367 
368 /* "pure" is in gcc 2.96 and up, see "(gcc)Function Attributes".  Basically
369    it means a function does nothing but examine its arguments and memory
370    (global or via arguments) to generate a return value, but changes nothing
371    and has no side-effects.  __GMP_NO_ATTRIBUTE_CONST_PURE lets
372    tune/common.c etc turn this off when trying to write timing loops.  */
373 #if __GMP_GNUC_PREREQ (2,96) && ! defined (__GMP_NO_ATTRIBUTE_CONST_PURE)
374 #define __GMP_ATTRIBUTE_PURE   __attribute__ ((__pure__))
375 #else
376 #define __GMP_ATTRIBUTE_PURE
377 #endif
378 
379 
380 /* __GMP_CAST allows us to use static_cast in C++, so our macros are clean
381    to "g++ -Wold-style-cast".
382 
383    Casts in "extern inline" code within an extern "C" block don't induce
384    these warnings, so __GMP_CAST only needs to be used on documented
385    macros.  */
386 
387 #ifdef __cplusplus
388 #define __GMP_CAST(type, expr)  (static_cast<type> (expr))
389 #else
390 #define __GMP_CAST(type, expr)  ((type) (expr))
391 #endif
392 
393 
394 /* An empty "throw ()" means the function doesn't throw any C++ exceptions,
395    this can save some stack frame info in applications.
396 
397    Currently it's given only on functions which never divide-by-zero etc,
398    don't allocate memory, and are expected to never need to allocate memory.
399    This leaves open the possibility of a C++ throw from a future GMP
400    exceptions scheme.
401 
402    mpz_set_ui etc are omitted to leave open the lazy allocation scheme
403    described in doc/tasks.html.  mpz_get_d etc are omitted to leave open
404    exceptions for float overflows.
405 
406    Note that __GMP_NOTHROW must be given on any inlines the same as on their
407    prototypes (for g++ at least, where they're used together).  Note also
408    that g++ 3.0 demands that __GMP_NOTHROW is before other attributes like
409    __GMP_ATTRIBUTE_PURE.  */
410 
411 #if defined (__cplusplus)
412 #define __GMP_NOTHROW  throw ()
413 #else
414 #define __GMP_NOTHROW
415 #endif
416 
417 
418 /* PORTME: What other compilers have a useful "extern inline"?  "static
419    inline" would be an acceptable substitute if the compiler (or linker)
420    discards unused statics.  */
421 
422  /* gcc has __inline__ in all modes, including strict ansi.  Give a prototype
423     for an inline too, so as to correctly specify "dllimport" on windows, in
424     case the function is called rather than inlined.
425     GCC 4.3 and above with -std=c99 or -std=gnu99 implements ISO C99
426     inline semantics, unless -fgnu89-inline is used.  */
427 #ifdef __GNUC__
428 #if (defined __GNUC_STDC_INLINE__) || (__GNUC__ == 4 && __GNUC_MINOR__ == 2)
429 #define __GMP_EXTERN_INLINE extern __inline__ __attribute__ ((__gnu_inline__))
430 #else
431 #define __GMP_EXTERN_INLINE      extern __inline__
432 #endif
433 #define __GMP_INLINE_PROTOTYPES  1
434 #endif
435 
436 /* DEC C (eg. version 5.9) supports "static __inline foo()", even in -std1
437    strict ANSI mode.  Inlining is done even when not optimizing (ie. -O0
438    mode, which is the default), but an unnecessary local copy of foo is
439    emitted unless -O is used.  "extern __inline" is accepted, but the
440    "extern" appears to be ignored, ie. it becomes a plain global function
441    but which is inlined within its file.  Don't know if all old versions of
442    DEC C supported __inline, but as a start let's do the right thing for
443    current versions.  */
444 #ifdef __DECC
445 #define __GMP_EXTERN_INLINE  static __inline
446 #endif
447 
448 /* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict
449    ANSI mode (__STDC__ is 1 in that mode).  Inlining only actually takes
450    place under -O.  Without -O "foo" seems to be emitted whether it's used
451    or not, which is wasteful.  "extern inline foo()" isn't useful, the
452    "extern" is apparently ignored, so foo is inlined if possible but also
453    emitted as a global, which causes multiple definition errors when
454    building a shared libgmp.  */
455 #ifdef __SCO_VERSION__
456 #if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
457   && ! defined (__GMP_EXTERN_INLINE)
458 #define __GMP_EXTERN_INLINE  static inline
459 #endif
460 #endif
461 
462 /* Microsoft's C compiler accepts __inline */
463 #ifdef _MSC_VER
464 #define __GMP_EXTERN_INLINE  __inline
465 #endif
466 
467 /* Recent enough Sun C compilers want "inline" */
468 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x560 \
469   && ! defined (__GMP_EXTERN_INLINE)
470 #define __GMP_EXTERN_INLINE  inline
471 #endif
472 
473 /* Somewhat older Sun C compilers want "static inline" */
474 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x540 \
475   && ! defined (__GMP_EXTERN_INLINE)
476 #define __GMP_EXTERN_INLINE  static inline
477 #endif
478 
479 
480 /* C++ always has "inline" and since it's a normal feature the linker should
481    discard duplicate non-inlined copies, or if it doesn't then that's a
482    problem for everyone, not just GMP.  */
483 #if defined (__cplusplus) && ! defined (__GMP_EXTERN_INLINE)
484 #define __GMP_EXTERN_INLINE  inline
485 #endif
486 
487 /* Don't do any inlining within a configure run, since if the compiler ends
488    up emitting copies of the code into the object file it can end up
489    demanding the various support routines (like mpn_popcount) for linking,
490    making the "alloca" test and perhaps others fail.  And on hppa ia64 a
491    pre-release gcc 3.2 was seen not respecting the "extern" in "extern
492    __inline__", triggering this problem too.  */
493 #if defined (__GMP_WITHIN_CONFIGURE) && ! __GMP_WITHIN_CONFIGURE_INLINE
494 #undef __GMP_EXTERN_INLINE
495 #endif
496 
497 /* By default, don't give a prototype when there's going to be an inline
498    version.  Note in particular that Cray C++ objects to the combination of
499    prototype and inline.  */
500 #ifdef __GMP_EXTERN_INLINE
501 #ifndef __GMP_INLINE_PROTOTYPES
502 #define __GMP_INLINE_PROTOTYPES  0
503 #endif
504 #else
505 #define __GMP_INLINE_PROTOTYPES  1
506 #endif
507 
508 
509 #define __GMP_ABS(x)   ((x) >= 0 ? (x) : -(x))
510 #define __GMP_MAX(h,i) ((h) > (i) ? (h) : (i))
511 
512 /* __GMP_USHRT_MAX is not "~ (unsigned short) 0" because short is promoted
513    to int by "~".  */
514 #define __GMP_UINT_MAX   (~ (unsigned) 0)
515 #define __GMP_ULONG_MAX  (~ (unsigned long) 0)
516 #define __GMP_USHRT_MAX  ((unsigned short) ~0)
517 
518 
519 /* __builtin_expect is in gcc 3.0, and not in 2.95. */
520 #if __GMP_GNUC_PREREQ (3,0)
521 #define __GMP_LIKELY(cond)    __builtin_expect ((cond) != 0, 1)
522 #define __GMP_UNLIKELY(cond)  __builtin_expect ((cond) != 0, 0)
523 #else
524 #define __GMP_LIKELY(cond)    (cond)
525 #define __GMP_UNLIKELY(cond)  (cond)
526 #endif
527 
528 #ifdef _CRAY
529 #define __GMP_CRAY_Pragma(str)  _Pragma (str)
530 #else
531 #define __GMP_CRAY_Pragma(str)
532 #endif
533 
534 
535 /* Allow direct user access to numerator and denominator of a mpq_t object.  */
536 #define mpq_numref(Q) (&((Q)->_mp_num))
537 #define mpq_denref(Q) (&((Q)->_mp_den))
538 
539 
540 #if defined (__cplusplus)
541 extern "C" {
542 using std::FILE;
543 #endif
544 
545 #define mp_set_memory_functions __gmp_set_memory_functions
546 __GMP_DECLSPEC void mp_set_memory_functions __GMP_PROTO ((void *(*) (size_t),
547 				      void *(*) (void *, size_t, size_t),
548 				      void (*) (void *, size_t))) __GMP_NOTHROW;
549 
550 #define mp_get_memory_functions __gmp_get_memory_functions
551 __GMP_DECLSPEC void mp_get_memory_functions __GMP_PROTO ((void *(**) (size_t),
552                                       void *(**) (void *, size_t, size_t),
553                                       void (**) (void *, size_t))) __GMP_NOTHROW;
554 
555 #define mp_bits_per_limb __gmp_bits_per_limb
556 __GMP_DECLSPEC extern __gmp_const int mp_bits_per_limb;
557 
558 #define gmp_errno __gmp_errno
559 __GMP_DECLSPEC extern int gmp_errno;
560 
561 #define gmp_version __gmp_version
562 __GMP_DECLSPEC extern __gmp_const char * __gmp_const gmp_version;
563 
564 
565 /**************** Random number routines.  ****************/
566 
567 /* obsolete */
568 #define gmp_randinit __gmp_randinit
569 __GMP_DECLSPEC void gmp_randinit __GMP_PROTO ((gmp_randstate_t, gmp_randalg_t, ...));
570 
571 #define gmp_randinit_default __gmp_randinit_default
572 __GMP_DECLSPEC void gmp_randinit_default __GMP_PROTO ((gmp_randstate_t));
573 
574 #define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
575 __GMP_DECLSPEC void gmp_randinit_lc_2exp __GMP_PROTO ((gmp_randstate_t,
576 						       mpz_srcptr, unsigned long int,
577 						       mp_bitcnt_t));
578 
579 #define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size
580 __GMP_DECLSPEC int gmp_randinit_lc_2exp_size __GMP_PROTO ((gmp_randstate_t, mp_bitcnt_t));
581 
582 #define gmp_randinit_mt __gmp_randinit_mt
583 __GMP_DECLSPEC void gmp_randinit_mt __GMP_PROTO ((gmp_randstate_t));
584 
585 #define gmp_randinit_set __gmp_randinit_set
586 __GMP_DECLSPEC void gmp_randinit_set __GMP_PROTO ((gmp_randstate_t, __gmp_const __gmp_randstate_struct *));
587 
588 #define gmp_randseed __gmp_randseed
589 __GMP_DECLSPEC void gmp_randseed __GMP_PROTO ((gmp_randstate_t, mpz_srcptr));
590 
591 #define gmp_randseed_ui __gmp_randseed_ui
592 __GMP_DECLSPEC void gmp_randseed_ui __GMP_PROTO ((gmp_randstate_t, unsigned long int));
593 
594 #define gmp_randclear __gmp_randclear
595 __GMP_DECLSPEC void gmp_randclear __GMP_PROTO ((gmp_randstate_t));
596 
597 #define gmp_urandomb_ui __gmp_urandomb_ui
598 __GMP_DECLSPEC unsigned long gmp_urandomb_ui __GMP_PROTO ((gmp_randstate_t, unsigned long));
599 
600 #define gmp_urandomm_ui __gmp_urandomm_ui
601 __GMP_DECLSPEC unsigned long gmp_urandomm_ui __GMP_PROTO ((gmp_randstate_t, unsigned long));
602 
603 
604 /**************** Formatted output routines.  ****************/
605 
606 #define gmp_asprintf __gmp_asprintf
607 __GMP_DECLSPEC int gmp_asprintf __GMP_PROTO ((char **, __gmp_const char *, ...));
608 
609 #define gmp_fprintf __gmp_fprintf
610 #ifdef _GMP_H_HAVE_FILE
611 __GMP_DECLSPEC int gmp_fprintf __GMP_PROTO ((FILE *, __gmp_const char *, ...));
612 #endif
613 
614 #define gmp_obstack_printf __gmp_obstack_printf
615 #if defined (_GMP_H_HAVE_OBSTACK)
616 __GMP_DECLSPEC int gmp_obstack_printf __GMP_PROTO ((struct obstack *, __gmp_const char *, ...));
617 #endif
618 
619 #define gmp_obstack_vprintf __gmp_obstack_vprintf
620 #if defined (_GMP_H_HAVE_OBSTACK) && defined (_GMP_H_HAVE_VA_LIST)
621 __GMP_DECLSPEC int gmp_obstack_vprintf __GMP_PROTO ((struct obstack *, __gmp_const char *, va_list));
622 #endif
623 
624 #define gmp_printf __gmp_printf
625 __GMP_DECLSPEC int gmp_printf __GMP_PROTO ((__gmp_const char *, ...));
626 
627 #define gmp_snprintf __gmp_snprintf
628 __GMP_DECLSPEC int gmp_snprintf __GMP_PROTO ((char *, size_t, __gmp_const char *, ...));
629 
630 #define gmp_sprintf __gmp_sprintf
631 __GMP_DECLSPEC int gmp_sprintf __GMP_PROTO ((char *, __gmp_const char *, ...));
632 
633 #define gmp_vasprintf __gmp_vasprintf
634 #if defined (_GMP_H_HAVE_VA_LIST)
635 __GMP_DECLSPEC int gmp_vasprintf __GMP_PROTO ((char **, __gmp_const char *, va_list));
636 #endif
637 
638 #define gmp_vfprintf __gmp_vfprintf
639 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
640 __GMP_DECLSPEC int gmp_vfprintf __GMP_PROTO ((FILE *, __gmp_const char *, va_list));
641 #endif
642 
643 #define gmp_vprintf __gmp_vprintf
644 #if defined (_GMP_H_HAVE_VA_LIST)
645 __GMP_DECLSPEC int gmp_vprintf __GMP_PROTO ((__gmp_const char *, va_list));
646 #endif
647 
648 #define gmp_vsnprintf __gmp_vsnprintf
649 #if defined (_GMP_H_HAVE_VA_LIST)
650 __GMP_DECLSPEC int gmp_vsnprintf __GMP_PROTO ((char *, size_t, __gmp_const char *, va_list));
651 #endif
652 
653 #define gmp_vsprintf __gmp_vsprintf
654 #if defined (_GMP_H_HAVE_VA_LIST)
655 __GMP_DECLSPEC int gmp_vsprintf __GMP_PROTO ((char *, __gmp_const char *, va_list));
656 #endif
657 
658 
659 /**************** Formatted input routines.  ****************/
660 
661 #define gmp_fscanf __gmp_fscanf
662 #ifdef _GMP_H_HAVE_FILE
663 __GMP_DECLSPEC int gmp_fscanf __GMP_PROTO ((FILE *, __gmp_const char *, ...));
664 #endif
665 
666 #define gmp_scanf __gmp_scanf
667 __GMP_DECLSPEC int gmp_scanf __GMP_PROTO ((__gmp_const char *, ...));
668 
669 #define gmp_sscanf __gmp_sscanf
670 __GMP_DECLSPEC int gmp_sscanf __GMP_PROTO ((__gmp_const char *, __gmp_const char *, ...));
671 
672 #define gmp_vfscanf __gmp_vfscanf
673 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
674 __GMP_DECLSPEC int gmp_vfscanf __GMP_PROTO ((FILE *, __gmp_const char *, va_list));
675 #endif
676 
677 #define gmp_vscanf __gmp_vscanf
678 #if defined (_GMP_H_HAVE_VA_LIST)
679 __GMP_DECLSPEC int gmp_vscanf __GMP_PROTO ((__gmp_const char *, va_list));
680 #endif
681 
682 #define gmp_vsscanf __gmp_vsscanf
683 #if defined (_GMP_H_HAVE_VA_LIST)
684 __GMP_DECLSPEC int gmp_vsscanf __GMP_PROTO ((__gmp_const char *, __gmp_const char *, va_list));
685 #endif
686 
687 
688 /**************** Integer (i.e. Z) routines.  ****************/
689 
690 #define _mpz_realloc __gmpz_realloc
691 #define mpz_realloc __gmpz_realloc
692 __GMP_DECLSPEC void *_mpz_realloc __GMP_PROTO ((mpz_ptr, mp_size_t));
693 
694 #define mpz_abs __gmpz_abs
695 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs)
696 __GMP_DECLSPEC void mpz_abs __GMP_PROTO ((mpz_ptr, mpz_srcptr));
697 #endif
698 
699 #define mpz_add __gmpz_add
700 __GMP_DECLSPEC void mpz_add __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
701 
702 #define mpz_add_ui __gmpz_add_ui
703 __GMP_DECLSPEC void mpz_add_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
704 
705 #define mpz_addmul __gmpz_addmul
706 __GMP_DECLSPEC void mpz_addmul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
707 
708 #define mpz_addmul_ui __gmpz_addmul_ui
709 __GMP_DECLSPEC void mpz_addmul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
710 
711 #define mpz_and __gmpz_and
712 __GMP_DECLSPEC void mpz_and __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
713 
714 #define mpz_array_init __gmpz_array_init
715 __GMP_DECLSPEC void mpz_array_init __GMP_PROTO ((mpz_ptr, mp_size_t, mp_size_t));
716 
717 #define mpz_bin_ui __gmpz_bin_ui
718 __GMP_DECLSPEC void mpz_bin_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
719 
720 #define mpz_bin_uiui __gmpz_bin_uiui
721 __GMP_DECLSPEC void mpz_bin_uiui __GMP_PROTO ((mpz_ptr, unsigned long int, unsigned long int));
722 
723 #define mpz_cdiv_q __gmpz_cdiv_q
724 __GMP_DECLSPEC void mpz_cdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
725 
726 #define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
727 __GMP_DECLSPEC void mpz_cdiv_q_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
728 
729 #define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
730 __GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
731 
732 #define mpz_cdiv_qr __gmpz_cdiv_qr
733 __GMP_DECLSPEC void mpz_cdiv_qr __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
734 
735 #define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
736 __GMP_DECLSPEC unsigned long int mpz_cdiv_qr_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
737 
738 #define mpz_cdiv_r __gmpz_cdiv_r
739 __GMP_DECLSPEC void mpz_cdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
740 
741 #define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
742 __GMP_DECLSPEC void mpz_cdiv_r_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
743 
744 #define mpz_cdiv_r_ui __gmpz_cdiv_r_ui
745 __GMP_DECLSPEC unsigned long int mpz_cdiv_r_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
746 
747 #define mpz_cdiv_ui __gmpz_cdiv_ui
748 __GMP_DECLSPEC unsigned long int mpz_cdiv_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
749 
750 #define mpz_clear __gmpz_clear
751 __GMP_DECLSPEC void mpz_clear __GMP_PROTO ((mpz_ptr));
752 
753 #define mpz_clears __gmpz_clears
754 __GMP_DECLSPEC void mpz_clears __GMP_PROTO ((mpz_ptr, ...));
755 
756 #define mpz_clrbit __gmpz_clrbit
757 __GMP_DECLSPEC void mpz_clrbit __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
758 
759 #define mpz_cmp __gmpz_cmp
760 __GMP_DECLSPEC int mpz_cmp __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
761 
762 #define mpz_cmp_d __gmpz_cmp_d
763 __GMP_DECLSPEC int mpz_cmp_d __GMP_PROTO ((mpz_srcptr, double)) __GMP_ATTRIBUTE_PURE;
764 
765 #define _mpz_cmp_si __gmpz_cmp_si
766 __GMP_DECLSPEC int _mpz_cmp_si __GMP_PROTO ((mpz_srcptr, signed long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
767 
768 #define _mpz_cmp_ui __gmpz_cmp_ui
769 __GMP_DECLSPEC int _mpz_cmp_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
770 
771 #define mpz_cmpabs __gmpz_cmpabs
772 __GMP_DECLSPEC int mpz_cmpabs __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
773 
774 #define mpz_cmpabs_d __gmpz_cmpabs_d
775 __GMP_DECLSPEC int mpz_cmpabs_d __GMP_PROTO ((mpz_srcptr, double)) __GMP_ATTRIBUTE_PURE;
776 
777 #define mpz_cmpabs_ui __gmpz_cmpabs_ui
778 __GMP_DECLSPEC int mpz_cmpabs_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
779 
780 #define mpz_com __gmpz_com
781 __GMP_DECLSPEC void mpz_com __GMP_PROTO ((mpz_ptr, mpz_srcptr));
782 
783 #define mpz_combit __gmpz_combit
784 __GMP_DECLSPEC void mpz_combit __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
785 
786 #define mpz_congruent_p __gmpz_congruent_p
787 __GMP_DECLSPEC int mpz_congruent_p __GMP_PROTO ((mpz_srcptr, mpz_srcptr, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
788 
789 #define mpz_congruent_2exp_p __gmpz_congruent_2exp_p
790 __GMP_DECLSPEC int mpz_congruent_2exp_p __GMP_PROTO ((mpz_srcptr, mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
791 
792 #define mpz_congruent_ui_p __gmpz_congruent_ui_p
793 __GMP_DECLSPEC int mpz_congruent_ui_p __GMP_PROTO ((mpz_srcptr, unsigned long, unsigned long)) __GMP_ATTRIBUTE_PURE;
794 
795 #define mpz_divexact __gmpz_divexact
796 __GMP_DECLSPEC void mpz_divexact __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
797 
798 #define mpz_divexact_ui __gmpz_divexact_ui
799 __GMP_DECLSPEC void mpz_divexact_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long));
800 
801 #define mpz_divisible_p __gmpz_divisible_p
802 __GMP_DECLSPEC int mpz_divisible_p __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
803 
804 #define mpz_divisible_ui_p __gmpz_divisible_ui_p
805 __GMP_DECLSPEC int mpz_divisible_ui_p __GMP_PROTO ((mpz_srcptr, unsigned long)) __GMP_ATTRIBUTE_PURE;
806 
807 #define mpz_divisible_2exp_p __gmpz_divisible_2exp_p
808 __GMP_DECLSPEC int mpz_divisible_2exp_p __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
809 
810 #define mpz_dump __gmpz_dump
811 __GMP_DECLSPEC void mpz_dump __GMP_PROTO ((mpz_srcptr));
812 
813 #define mpz_export __gmpz_export
814 __GMP_DECLSPEC void *mpz_export __GMP_PROTO ((void *, size_t *, int, size_t, int, size_t, mpz_srcptr));
815 
816 #define mpz_fac_ui __gmpz_fac_ui
817 __GMP_DECLSPEC void mpz_fac_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
818 
819 #define mpz_fdiv_q __gmpz_fdiv_q
820 __GMP_DECLSPEC void mpz_fdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
821 
822 #define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
823 __GMP_DECLSPEC void mpz_fdiv_q_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
824 
825 #define mpz_fdiv_q_ui __gmpz_fdiv_q_ui
826 __GMP_DECLSPEC unsigned long int mpz_fdiv_q_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
827 
828 #define mpz_fdiv_qr __gmpz_fdiv_qr
829 __GMP_DECLSPEC void mpz_fdiv_qr __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
830 
831 #define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui
832 __GMP_DECLSPEC unsigned long int mpz_fdiv_qr_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
833 
834 #define mpz_fdiv_r __gmpz_fdiv_r
835 __GMP_DECLSPEC void mpz_fdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
836 
837 #define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
838 __GMP_DECLSPEC void mpz_fdiv_r_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
839 
840 #define mpz_fdiv_r_ui __gmpz_fdiv_r_ui
841 __GMP_DECLSPEC unsigned long int mpz_fdiv_r_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
842 
843 #define mpz_fdiv_ui __gmpz_fdiv_ui
844 __GMP_DECLSPEC unsigned long int mpz_fdiv_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
845 
846 #define mpz_fib_ui __gmpz_fib_ui
847 __GMP_DECLSPEC void mpz_fib_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
848 
849 #define mpz_fib2_ui __gmpz_fib2_ui
850 __GMP_DECLSPEC void mpz_fib2_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, unsigned long int));
851 
852 #define mpz_fits_sint_p __gmpz_fits_sint_p
853 __GMP_DECLSPEC int mpz_fits_sint_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
854 
855 #define mpz_fits_slong_p __gmpz_fits_slong_p
856 __GMP_DECLSPEC int mpz_fits_slong_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
857 
858 #define mpz_fits_sshort_p __gmpz_fits_sshort_p
859 __GMP_DECLSPEC int mpz_fits_sshort_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
860 
861 #define mpz_fits_uint_p __gmpz_fits_uint_p
862 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_uint_p)
863 __GMP_DECLSPEC int mpz_fits_uint_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
864 #endif
865 
866 #define mpz_fits_ulong_p __gmpz_fits_ulong_p
867 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ulong_p)
868 __GMP_DECLSPEC int mpz_fits_ulong_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
869 #endif
870 
871 #define mpz_fits_ushort_p __gmpz_fits_ushort_p
872 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ushort_p)
873 __GMP_DECLSPEC int mpz_fits_ushort_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
874 #endif
875 
876 #define mpz_gcd __gmpz_gcd
877 __GMP_DECLSPEC void mpz_gcd __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
878 
879 #define mpz_gcd_ui __gmpz_gcd_ui
880 __GMP_DECLSPEC unsigned long int mpz_gcd_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
881 
882 #define mpz_gcdext __gmpz_gcdext
883 __GMP_DECLSPEC void mpz_gcdext __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
884 
885 #define mpz_get_d __gmpz_get_d
886 __GMP_DECLSPEC double mpz_get_d __GMP_PROTO ((mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
887 
888 #define mpz_get_d_2exp __gmpz_get_d_2exp
889 __GMP_DECLSPEC double mpz_get_d_2exp __GMP_PROTO ((signed long int *, mpz_srcptr));
890 
891 #define mpz_get_si __gmpz_get_si
892 __GMP_DECLSPEC /* signed */ long int mpz_get_si __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
893 
894 #define mpz_get_str __gmpz_get_str
895 __GMP_DECLSPEC char *mpz_get_str __GMP_PROTO ((char *, int, mpz_srcptr));
896 
897 #define mpz_get_ui __gmpz_get_ui
898 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_get_ui)
899 __GMP_DECLSPEC unsigned long int mpz_get_ui __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
900 #endif
901 
902 #define mpz_getlimbn __gmpz_getlimbn
903 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_getlimbn)
904 __GMP_DECLSPEC mp_limb_t mpz_getlimbn __GMP_PROTO ((mpz_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
905 #endif
906 
907 #define mpz_hamdist __gmpz_hamdist
908 __GMP_DECLSPEC mp_bitcnt_t mpz_hamdist __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
909 
910 #define mpz_import __gmpz_import
911 __GMP_DECLSPEC void mpz_import __GMP_PROTO ((mpz_ptr, size_t, int, size_t, int, size_t, __gmp_const void *));
912 
913 #define mpz_init __gmpz_init
914 __GMP_DECLSPEC void mpz_init __GMP_PROTO ((mpz_ptr));
915 
916 #define mpz_init2 __gmpz_init2
917 __GMP_DECLSPEC void mpz_init2 __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
918 
919 #define mpz_inits __gmpz_inits
920 __GMP_DECLSPEC void mpz_inits __GMP_PROTO ((mpz_ptr, ...));
921 
922 #define mpz_init_set __gmpz_init_set
923 __GMP_DECLSPEC void mpz_init_set __GMP_PROTO ((mpz_ptr, mpz_srcptr));
924 
925 #define mpz_init_set_d __gmpz_init_set_d
926 __GMP_DECLSPEC void mpz_init_set_d __GMP_PROTO ((mpz_ptr, double));
927 
928 #define mpz_init_set_si __gmpz_init_set_si
929 __GMP_DECLSPEC void mpz_init_set_si __GMP_PROTO ((mpz_ptr, signed long int));
930 
931 #define mpz_init_set_str __gmpz_init_set_str
932 __GMP_DECLSPEC int mpz_init_set_str __GMP_PROTO ((mpz_ptr, __gmp_const char *, int));
933 
934 #define mpz_init_set_ui __gmpz_init_set_ui
935 __GMP_DECLSPEC void mpz_init_set_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
936 
937 #define mpz_inp_raw __gmpz_inp_raw
938 #ifdef _GMP_H_HAVE_FILE
939 __GMP_DECLSPEC size_t mpz_inp_raw __GMP_PROTO ((mpz_ptr, FILE *));
940 #endif
941 
942 #define mpz_inp_str __gmpz_inp_str
943 #ifdef _GMP_H_HAVE_FILE
944 __GMP_DECLSPEC size_t mpz_inp_str __GMP_PROTO ((mpz_ptr, FILE *, int));
945 #endif
946 
947 #define mpz_invert __gmpz_invert
948 __GMP_DECLSPEC int mpz_invert __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
949 
950 #define mpz_ior __gmpz_ior
951 __GMP_DECLSPEC void mpz_ior __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
952 
953 #define mpz_jacobi __gmpz_jacobi
954 __GMP_DECLSPEC int mpz_jacobi __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
955 
956 #define mpz_kronecker mpz_jacobi  /* alias */
957 
958 #define mpz_kronecker_si __gmpz_kronecker_si
959 __GMP_DECLSPEC int mpz_kronecker_si __GMP_PROTO ((mpz_srcptr, long)) __GMP_ATTRIBUTE_PURE;
960 
961 #define mpz_kronecker_ui __gmpz_kronecker_ui
962 __GMP_DECLSPEC int mpz_kronecker_ui __GMP_PROTO ((mpz_srcptr, unsigned long)) __GMP_ATTRIBUTE_PURE;
963 
964 #define mpz_si_kronecker __gmpz_si_kronecker
965 __GMP_DECLSPEC int mpz_si_kronecker __GMP_PROTO ((long, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
966 
967 #define mpz_ui_kronecker __gmpz_ui_kronecker
968 __GMP_DECLSPEC int mpz_ui_kronecker __GMP_PROTO ((unsigned long, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
969 
970 #define mpz_lcm __gmpz_lcm
971 __GMP_DECLSPEC void mpz_lcm __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
972 
973 #define mpz_lcm_ui __gmpz_lcm_ui
974 __GMP_DECLSPEC void mpz_lcm_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long));
975 
976 #define mpz_legendre mpz_jacobi  /* alias */
977 
978 #define mpz_lucnum_ui __gmpz_lucnum_ui
979 __GMP_DECLSPEC void mpz_lucnum_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
980 
981 #define mpz_lucnum2_ui __gmpz_lucnum2_ui
982 __GMP_DECLSPEC void mpz_lucnum2_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, unsigned long int));
983 
984 #define mpz_millerrabin __gmpz_millerrabin
985 __GMP_DECLSPEC int mpz_millerrabin __GMP_PROTO ((mpz_srcptr, int)) __GMP_ATTRIBUTE_PURE;
986 
987 #define mpz_mod __gmpz_mod
988 __GMP_DECLSPEC void mpz_mod __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
989 
990 #define mpz_mod_ui mpz_fdiv_r_ui /* same as fdiv_r because divisor unsigned */
991 
992 #define mpz_mul __gmpz_mul
993 __GMP_DECLSPEC void mpz_mul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
994 
995 #define mpz_mul_2exp __gmpz_mul_2exp
996 __GMP_DECLSPEC void mpz_mul_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
997 
998 #define mpz_mul_si __gmpz_mul_si
999 __GMP_DECLSPEC void mpz_mul_si __GMP_PROTO ((mpz_ptr, mpz_srcptr, long int));
1000 
1001 #define mpz_mul_ui __gmpz_mul_ui
1002 __GMP_DECLSPEC void mpz_mul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1003 
1004 #define mpz_neg __gmpz_neg
1005 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_neg)
1006 __GMP_DECLSPEC void mpz_neg __GMP_PROTO ((mpz_ptr, mpz_srcptr));
1007 #endif
1008 
1009 #define mpz_nextprime __gmpz_nextprime
1010 __GMP_DECLSPEC void mpz_nextprime __GMP_PROTO ((mpz_ptr, mpz_srcptr));
1011 
1012 #define mpz_out_raw __gmpz_out_raw
1013 #ifdef _GMP_H_HAVE_FILE
1014 __GMP_DECLSPEC size_t mpz_out_raw __GMP_PROTO ((FILE *, mpz_srcptr));
1015 #endif
1016 
1017 #define mpz_out_str __gmpz_out_str
1018 #ifdef _GMP_H_HAVE_FILE
1019 __GMP_DECLSPEC size_t mpz_out_str __GMP_PROTO ((FILE *, int, mpz_srcptr));
1020 #endif
1021 
1022 #define mpz_perfect_power_p __gmpz_perfect_power_p
1023 __GMP_DECLSPEC int mpz_perfect_power_p __GMP_PROTO ((mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
1024 
1025 #define mpz_perfect_square_p __gmpz_perfect_square_p
1026 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_perfect_square_p)
1027 __GMP_DECLSPEC int mpz_perfect_square_p __GMP_PROTO ((mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
1028 #endif
1029 
1030 #define mpz_popcount __gmpz_popcount
1031 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_popcount)
1032 __GMP_DECLSPEC mp_bitcnt_t mpz_popcount __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1033 #endif
1034 
1035 #define mpz_pow_ui __gmpz_pow_ui
1036 __GMP_DECLSPEC void mpz_pow_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1037 
1038 #define mpz_powm __gmpz_powm
1039 __GMP_DECLSPEC void mpz_powm __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr));
1040 
1041 #define mpz_powm_sec __gmpz_powm_sec
1042 __GMP_DECLSPEC void mpz_powm_sec __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr));
1043 
1044 #define mpz_powm_ui __gmpz_powm_ui
1045 __GMP_DECLSPEC void mpz_powm_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr));
1046 
1047 #define mpz_probab_prime_p __gmpz_probab_prime_p
1048 __GMP_DECLSPEC int mpz_probab_prime_p __GMP_PROTO ((mpz_srcptr, int)) __GMP_ATTRIBUTE_PURE;
1049 
1050 #define mpz_random __gmpz_random
1051 __GMP_DECLSPEC void mpz_random __GMP_PROTO ((mpz_ptr, mp_size_t));
1052 
1053 #define mpz_random2 __gmpz_random2
1054 __GMP_DECLSPEC void mpz_random2 __GMP_PROTO ((mpz_ptr, mp_size_t));
1055 
1056 #define mpz_realloc2 __gmpz_realloc2
1057 __GMP_DECLSPEC void mpz_realloc2 __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
1058 
1059 #define mpz_remove __gmpz_remove
1060 __GMP_DECLSPEC mp_bitcnt_t mpz_remove __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1061 
1062 #define mpz_root __gmpz_root
1063 __GMP_DECLSPEC int mpz_root __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1064 
1065 #define mpz_rootrem __gmpz_rootrem
1066 __GMP_DECLSPEC void mpz_rootrem __GMP_PROTO ((mpz_ptr,mpz_ptr, mpz_srcptr, unsigned long int));
1067 
1068 #define mpz_rrandomb __gmpz_rrandomb
1069 __GMP_DECLSPEC void mpz_rrandomb __GMP_PROTO ((mpz_ptr, gmp_randstate_t, mp_bitcnt_t));
1070 
1071 #define mpz_scan0 __gmpz_scan0
1072 __GMP_DECLSPEC mp_bitcnt_t mpz_scan0 __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1073 
1074 #define mpz_scan1 __gmpz_scan1
1075 __GMP_DECLSPEC mp_bitcnt_t mpz_scan1 __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1076 
1077 #define mpz_set __gmpz_set
1078 __GMP_DECLSPEC void mpz_set __GMP_PROTO ((mpz_ptr, mpz_srcptr));
1079 
1080 #define mpz_set_d __gmpz_set_d
1081 __GMP_DECLSPEC void mpz_set_d __GMP_PROTO ((mpz_ptr, double));
1082 
1083 #define mpz_set_f __gmpz_set_f
1084 __GMP_DECLSPEC void mpz_set_f __GMP_PROTO ((mpz_ptr, mpf_srcptr));
1085 
1086 #define mpz_set_q __gmpz_set_q
1087 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_set_q)
1088 __GMP_DECLSPEC void mpz_set_q __GMP_PROTO ((mpz_ptr, mpq_srcptr));
1089 #endif
1090 
1091 #define mpz_set_si __gmpz_set_si
1092 __GMP_DECLSPEC void mpz_set_si __GMP_PROTO ((mpz_ptr, signed long int));
1093 
1094 #define mpz_set_str __gmpz_set_str
1095 __GMP_DECLSPEC int mpz_set_str __GMP_PROTO ((mpz_ptr, __gmp_const char *, int));
1096 
1097 #define mpz_set_ui __gmpz_set_ui
1098 __GMP_DECLSPEC void mpz_set_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
1099 
1100 #define mpz_setbit __gmpz_setbit
1101 __GMP_DECLSPEC void mpz_setbit __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
1102 
1103 #define mpz_size __gmpz_size
1104 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_size)
1105 __GMP_DECLSPEC size_t mpz_size __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1106 #endif
1107 
1108 #define mpz_sizeinbase __gmpz_sizeinbase
1109 __GMP_DECLSPEC size_t mpz_sizeinbase __GMP_PROTO ((mpz_srcptr, int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1110 
1111 #define mpz_sqrt __gmpz_sqrt
1112 __GMP_DECLSPEC void mpz_sqrt __GMP_PROTO ((mpz_ptr, mpz_srcptr));
1113 
1114 #define mpz_sqrtrem __gmpz_sqrtrem
1115 __GMP_DECLSPEC void mpz_sqrtrem __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr));
1116 
1117 #define mpz_sub __gmpz_sub
1118 __GMP_DECLSPEC void mpz_sub __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1119 
1120 #define mpz_sub_ui __gmpz_sub_ui
1121 __GMP_DECLSPEC void mpz_sub_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1122 
1123 #define mpz_ui_sub __gmpz_ui_sub
1124 __GMP_DECLSPEC void mpz_ui_sub __GMP_PROTO ((mpz_ptr, unsigned long int, mpz_srcptr));
1125 
1126 #define mpz_submul __gmpz_submul
1127 __GMP_DECLSPEC void mpz_submul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1128 
1129 #define mpz_submul_ui __gmpz_submul_ui
1130 __GMP_DECLSPEC void mpz_submul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1131 
1132 #define mpz_swap __gmpz_swap
1133 __GMP_DECLSPEC void mpz_swap __GMP_PROTO ((mpz_ptr, mpz_ptr)) __GMP_NOTHROW;
1134 
1135 #define mpz_tdiv_ui __gmpz_tdiv_ui
1136 __GMP_DECLSPEC unsigned long int mpz_tdiv_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
1137 
1138 #define mpz_tdiv_q __gmpz_tdiv_q
1139 __GMP_DECLSPEC void mpz_tdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1140 
1141 #define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp
1142 __GMP_DECLSPEC void mpz_tdiv_q_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
1143 
1144 #define mpz_tdiv_q_ui __gmpz_tdiv_q_ui
1145 __GMP_DECLSPEC unsigned long int mpz_tdiv_q_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1146 
1147 #define mpz_tdiv_qr __gmpz_tdiv_qr
1148 __GMP_DECLSPEC void mpz_tdiv_qr __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
1149 
1150 #define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui
1151 __GMP_DECLSPEC unsigned long int mpz_tdiv_qr_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
1152 
1153 #define mpz_tdiv_r __gmpz_tdiv_r
1154 __GMP_DECLSPEC void mpz_tdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1155 
1156 #define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp
1157 __GMP_DECLSPEC void mpz_tdiv_r_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
1158 
1159 #define mpz_tdiv_r_ui __gmpz_tdiv_r_ui
1160 __GMP_DECLSPEC unsigned long int mpz_tdiv_r_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1161 
1162 #define mpz_tstbit __gmpz_tstbit
1163 __GMP_DECLSPEC int mpz_tstbit __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1164 
1165 #define mpz_ui_pow_ui __gmpz_ui_pow_ui
1166 __GMP_DECLSPEC void mpz_ui_pow_ui __GMP_PROTO ((mpz_ptr, unsigned long int, unsigned long int));
1167 
1168 #define mpz_urandomb __gmpz_urandomb
1169 __GMP_DECLSPEC void mpz_urandomb __GMP_PROTO ((mpz_ptr, gmp_randstate_t, mp_bitcnt_t));
1170 
1171 #define mpz_urandomm __gmpz_urandomm
1172 __GMP_DECLSPEC void mpz_urandomm __GMP_PROTO ((mpz_ptr, gmp_randstate_t, mpz_srcptr));
1173 
1174 #define mpz_xor __gmpz_xor
1175 #define mpz_eor __gmpz_xor
1176 __GMP_DECLSPEC void mpz_xor __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1177 
1178 
1179 /**************** Rational (i.e. Q) routines.  ****************/
1180 
1181 #define mpq_abs __gmpq_abs
1182 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_abs)
1183 __GMP_DECLSPEC void mpq_abs __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1184 #endif
1185 
1186 #define mpq_add __gmpq_add
1187 __GMP_DECLSPEC void mpq_add __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1188 
1189 #define mpq_canonicalize __gmpq_canonicalize
1190 __GMP_DECLSPEC void mpq_canonicalize __GMP_PROTO ((mpq_ptr));
1191 
1192 #define mpq_clear __gmpq_clear
1193 __GMP_DECLSPEC void mpq_clear __GMP_PROTO ((mpq_ptr));
1194 
1195 #define mpq_clears __gmpq_clears
1196 __GMP_DECLSPEC void mpq_clears __GMP_PROTO ((mpq_ptr, ...));
1197 
1198 #define mpq_cmp __gmpq_cmp
1199 __GMP_DECLSPEC int mpq_cmp __GMP_PROTO ((mpq_srcptr, mpq_srcptr)) __GMP_ATTRIBUTE_PURE;
1200 
1201 #define _mpq_cmp_si __gmpq_cmp_si
1202 __GMP_DECLSPEC int _mpq_cmp_si __GMP_PROTO ((mpq_srcptr, long, unsigned long)) __GMP_ATTRIBUTE_PURE;
1203 
1204 #define _mpq_cmp_ui __gmpq_cmp_ui
1205 __GMP_DECLSPEC int _mpq_cmp_ui __GMP_PROTO ((mpq_srcptr, unsigned long int, unsigned long int)) __GMP_ATTRIBUTE_PURE;
1206 
1207 #define mpq_div __gmpq_div
1208 __GMP_DECLSPEC void mpq_div __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1209 
1210 #define mpq_div_2exp __gmpq_div_2exp
1211 __GMP_DECLSPEC void mpq_div_2exp __GMP_PROTO ((mpq_ptr, mpq_srcptr, mp_bitcnt_t));
1212 
1213 #define mpq_equal __gmpq_equal
1214 __GMP_DECLSPEC int mpq_equal __GMP_PROTO ((mpq_srcptr, mpq_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1215 
1216 #define mpq_get_num __gmpq_get_num
1217 __GMP_DECLSPEC void mpq_get_num __GMP_PROTO ((mpz_ptr, mpq_srcptr));
1218 
1219 #define mpq_get_den __gmpq_get_den
1220 __GMP_DECLSPEC void mpq_get_den __GMP_PROTO ((mpz_ptr, mpq_srcptr));
1221 
1222 #define mpq_get_d __gmpq_get_d
1223 __GMP_DECLSPEC double mpq_get_d __GMP_PROTO ((mpq_srcptr)) __GMP_ATTRIBUTE_PURE;
1224 
1225 #define mpq_get_str __gmpq_get_str
1226 __GMP_DECLSPEC char *mpq_get_str __GMP_PROTO ((char *, int, mpq_srcptr));
1227 
1228 #define mpq_init __gmpq_init
1229 __GMP_DECLSPEC void mpq_init __GMP_PROTO ((mpq_ptr));
1230 
1231 #define mpq_inits __gmpq_inits
1232 __GMP_DECLSPEC void mpq_inits __GMP_PROTO ((mpq_ptr, ...));
1233 
1234 #define mpq_inp_str __gmpq_inp_str
1235 #ifdef _GMP_H_HAVE_FILE
1236 __GMP_DECLSPEC size_t mpq_inp_str __GMP_PROTO ((mpq_ptr, FILE *, int));
1237 #endif
1238 
1239 #define mpq_inv __gmpq_inv
1240 __GMP_DECLSPEC void mpq_inv __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1241 
1242 #define mpq_mul __gmpq_mul
1243 __GMP_DECLSPEC void mpq_mul __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1244 
1245 #define mpq_mul_2exp __gmpq_mul_2exp
1246 __GMP_DECLSPEC void mpq_mul_2exp __GMP_PROTO ((mpq_ptr, mpq_srcptr, mp_bitcnt_t));
1247 
1248 #define mpq_neg __gmpq_neg
1249 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_neg)
1250 __GMP_DECLSPEC void mpq_neg __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1251 #endif
1252 
1253 #define mpq_out_str __gmpq_out_str
1254 #ifdef _GMP_H_HAVE_FILE
1255 __GMP_DECLSPEC size_t mpq_out_str __GMP_PROTO ((FILE *, int, mpq_srcptr));
1256 #endif
1257 
1258 #define mpq_set __gmpq_set
1259 __GMP_DECLSPEC void mpq_set __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1260 
1261 #define mpq_set_d __gmpq_set_d
1262 __GMP_DECLSPEC void mpq_set_d __GMP_PROTO ((mpq_ptr, double));
1263 
1264 #define mpq_set_den __gmpq_set_den
1265 __GMP_DECLSPEC void mpq_set_den __GMP_PROTO ((mpq_ptr, mpz_srcptr));
1266 
1267 #define mpq_set_f __gmpq_set_f
1268 __GMP_DECLSPEC void mpq_set_f __GMP_PROTO ((mpq_ptr, mpf_srcptr));
1269 
1270 #define mpq_set_num __gmpq_set_num
1271 __GMP_DECLSPEC void mpq_set_num __GMP_PROTO ((mpq_ptr, mpz_srcptr));
1272 
1273 #define mpq_set_si __gmpq_set_si
1274 __GMP_DECLSPEC void mpq_set_si __GMP_PROTO ((mpq_ptr, signed long int, unsigned long int));
1275 
1276 #define mpq_set_str __gmpq_set_str
1277 __GMP_DECLSPEC int mpq_set_str __GMP_PROTO ((mpq_ptr, __gmp_const char *, int));
1278 
1279 #define mpq_set_ui __gmpq_set_ui
1280 __GMP_DECLSPEC void mpq_set_ui __GMP_PROTO ((mpq_ptr, unsigned long int, unsigned long int));
1281 
1282 #define mpq_set_z __gmpq_set_z
1283 __GMP_DECLSPEC void mpq_set_z __GMP_PROTO ((mpq_ptr, mpz_srcptr));
1284 
1285 #define mpq_sub __gmpq_sub
1286 __GMP_DECLSPEC void mpq_sub __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1287 
1288 #define mpq_swap __gmpq_swap
1289 __GMP_DECLSPEC void mpq_swap __GMP_PROTO ((mpq_ptr, mpq_ptr)) __GMP_NOTHROW;
1290 
1291 
1292 /**************** Float (i.e. F) routines.  ****************/
1293 
1294 #define mpf_abs __gmpf_abs
1295 __GMP_DECLSPEC void mpf_abs __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1296 
1297 #define mpf_add __gmpf_add
1298 __GMP_DECLSPEC void mpf_add __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1299 
1300 #define mpf_add_ui __gmpf_add_ui
1301 __GMP_DECLSPEC void mpf_add_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1302 #define mpf_ceil __gmpf_ceil
1303 __GMP_DECLSPEC void mpf_ceil __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1304 
1305 #define mpf_clear __gmpf_clear
1306 __GMP_DECLSPEC void mpf_clear __GMP_PROTO ((mpf_ptr));
1307 
1308 #define mpf_clears __gmpf_clears
1309 __GMP_DECLSPEC void mpf_clears __GMP_PROTO ((mpf_ptr, ...));
1310 
1311 #define mpf_cmp __gmpf_cmp
1312 __GMP_DECLSPEC int mpf_cmp __GMP_PROTO ((mpf_srcptr, mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1313 
1314 #define mpf_cmp_d __gmpf_cmp_d
1315 __GMP_DECLSPEC int mpf_cmp_d __GMP_PROTO ((mpf_srcptr, double)) __GMP_ATTRIBUTE_PURE;
1316 
1317 #define mpf_cmp_si __gmpf_cmp_si
1318 __GMP_DECLSPEC int mpf_cmp_si __GMP_PROTO ((mpf_srcptr, signed long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1319 
1320 #define mpf_cmp_ui __gmpf_cmp_ui
1321 __GMP_DECLSPEC int mpf_cmp_ui __GMP_PROTO ((mpf_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1322 
1323 #define mpf_div __gmpf_div
1324 __GMP_DECLSPEC void mpf_div __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1325 
1326 #define mpf_div_2exp __gmpf_div_2exp
1327 __GMP_DECLSPEC void mpf_div_2exp __GMP_PROTO ((mpf_ptr, mpf_srcptr, mp_bitcnt_t));
1328 
1329 #define mpf_div_ui __gmpf_div_ui
1330 __GMP_DECLSPEC void mpf_div_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1331 
1332 #define mpf_dump __gmpf_dump
1333 __GMP_DECLSPEC void mpf_dump __GMP_PROTO ((mpf_srcptr));
1334 
1335 #define mpf_eq __gmpf_eq
1336 __GMP_DECLSPEC int mpf_eq __GMP_PROTO ((mpf_srcptr, mpf_srcptr, mp_bitcnt_t)) __GMP_ATTRIBUTE_PURE;
1337 
1338 #define mpf_fits_sint_p __gmpf_fits_sint_p
1339 __GMP_DECLSPEC int mpf_fits_sint_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1340 
1341 #define mpf_fits_slong_p __gmpf_fits_slong_p
1342 __GMP_DECLSPEC int mpf_fits_slong_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1343 
1344 #define mpf_fits_sshort_p __gmpf_fits_sshort_p
1345 __GMP_DECLSPEC int mpf_fits_sshort_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1346 
1347 #define mpf_fits_uint_p __gmpf_fits_uint_p
1348 __GMP_DECLSPEC int mpf_fits_uint_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1349 
1350 #define mpf_fits_ulong_p __gmpf_fits_ulong_p
1351 __GMP_DECLSPEC int mpf_fits_ulong_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1352 
1353 #define mpf_fits_ushort_p __gmpf_fits_ushort_p
1354 __GMP_DECLSPEC int mpf_fits_ushort_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1355 
1356 #define mpf_floor __gmpf_floor
1357 __GMP_DECLSPEC void mpf_floor __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1358 
1359 #define mpf_get_d __gmpf_get_d
1360 __GMP_DECLSPEC double mpf_get_d __GMP_PROTO ((mpf_srcptr)) __GMP_ATTRIBUTE_PURE;
1361 
1362 #define mpf_get_d_2exp __gmpf_get_d_2exp
1363 __GMP_DECLSPEC double mpf_get_d_2exp __GMP_PROTO ((signed long int *, mpf_srcptr));
1364 
1365 #define mpf_get_default_prec __gmpf_get_default_prec
1366 __GMP_DECLSPEC mp_bitcnt_t mpf_get_default_prec __GMP_PROTO ((void)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1367 
1368 #define mpf_get_prec __gmpf_get_prec
1369 __GMP_DECLSPEC mp_bitcnt_t mpf_get_prec __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1370 
1371 #define mpf_get_si __gmpf_get_si
1372 __GMP_DECLSPEC long mpf_get_si __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1373 
1374 #define mpf_get_str __gmpf_get_str
1375 __GMP_DECLSPEC char *mpf_get_str __GMP_PROTO ((char *, mp_exp_t *, int, size_t, mpf_srcptr));
1376 
1377 #define mpf_get_ui __gmpf_get_ui
1378 __GMP_DECLSPEC unsigned long mpf_get_ui __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1379 
1380 #define mpf_init __gmpf_init
1381 __GMP_DECLSPEC void mpf_init __GMP_PROTO ((mpf_ptr));
1382 
1383 #define mpf_init2 __gmpf_init2
1384 __GMP_DECLSPEC void mpf_init2 __GMP_PROTO ((mpf_ptr, mp_bitcnt_t));
1385 
1386 #define mpf_inits __gmpf_inits
1387 __GMP_DECLSPEC void mpf_inits __GMP_PROTO ((mpf_ptr, ...));
1388 
1389 #define mpf_init_set __gmpf_init_set
1390 __GMP_DECLSPEC void mpf_init_set __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1391 
1392 #define mpf_init_set_d __gmpf_init_set_d
1393 __GMP_DECLSPEC void mpf_init_set_d __GMP_PROTO ((mpf_ptr, double));
1394 
1395 #define mpf_init_set_si __gmpf_init_set_si
1396 __GMP_DECLSPEC void mpf_init_set_si __GMP_PROTO ((mpf_ptr, signed long int));
1397 
1398 #define mpf_init_set_str __gmpf_init_set_str
1399 __GMP_DECLSPEC int mpf_init_set_str __GMP_PROTO ((mpf_ptr, __gmp_const char *, int));
1400 
1401 #define mpf_init_set_ui __gmpf_init_set_ui
1402 __GMP_DECLSPEC void mpf_init_set_ui __GMP_PROTO ((mpf_ptr, unsigned long int));
1403 
1404 #define mpf_inp_str __gmpf_inp_str
1405 #ifdef _GMP_H_HAVE_FILE
1406 __GMP_DECLSPEC size_t mpf_inp_str __GMP_PROTO ((mpf_ptr, FILE *, int));
1407 #endif
1408 
1409 #define mpf_integer_p __gmpf_integer_p
1410 __GMP_DECLSPEC int mpf_integer_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1411 
1412 #define mpf_mul __gmpf_mul
1413 __GMP_DECLSPEC void mpf_mul __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1414 
1415 #define mpf_mul_2exp __gmpf_mul_2exp
1416 __GMP_DECLSPEC void mpf_mul_2exp __GMP_PROTO ((mpf_ptr, mpf_srcptr, mp_bitcnt_t));
1417 
1418 #define mpf_mul_ui __gmpf_mul_ui
1419 __GMP_DECLSPEC void mpf_mul_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1420 
1421 #define mpf_neg __gmpf_neg
1422 __GMP_DECLSPEC void mpf_neg __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1423 
1424 #define mpf_out_str __gmpf_out_str
1425 #ifdef _GMP_H_HAVE_FILE
1426 __GMP_DECLSPEC size_t mpf_out_str __GMP_PROTO ((FILE *, int, size_t, mpf_srcptr));
1427 #endif
1428 
1429 #define mpf_pow_ui __gmpf_pow_ui
1430 __GMP_DECLSPEC void mpf_pow_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1431 
1432 #define mpf_random2 __gmpf_random2
1433 __GMP_DECLSPEC void mpf_random2 __GMP_PROTO ((mpf_ptr, mp_size_t, mp_exp_t));
1434 
1435 #define mpf_reldiff __gmpf_reldiff
1436 __GMP_DECLSPEC void mpf_reldiff __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1437 
1438 #define mpf_set __gmpf_set
1439 __GMP_DECLSPEC void mpf_set __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1440 
1441 #define mpf_set_d __gmpf_set_d
1442 __GMP_DECLSPEC void mpf_set_d __GMP_PROTO ((mpf_ptr, double));
1443 
1444 #define mpf_set_default_prec __gmpf_set_default_prec
1445 __GMP_DECLSPEC void mpf_set_default_prec __GMP_PROTO ((mp_bitcnt_t)) __GMP_NOTHROW;
1446 
1447 #define mpf_set_prec __gmpf_set_prec
1448 __GMP_DECLSPEC void mpf_set_prec __GMP_PROTO ((mpf_ptr, mp_bitcnt_t));
1449 
1450 #define mpf_set_prec_raw __gmpf_set_prec_raw
1451 __GMP_DECLSPEC void mpf_set_prec_raw __GMP_PROTO ((mpf_ptr, mp_bitcnt_t)) __GMP_NOTHROW;
1452 
1453 #define mpf_set_q __gmpf_set_q
1454 __GMP_DECLSPEC void mpf_set_q __GMP_PROTO ((mpf_ptr, mpq_srcptr));
1455 
1456 #define mpf_set_si __gmpf_set_si
1457 __GMP_DECLSPEC void mpf_set_si __GMP_PROTO ((mpf_ptr, signed long int));
1458 
1459 #define mpf_set_str __gmpf_set_str
1460 __GMP_DECLSPEC int mpf_set_str __GMP_PROTO ((mpf_ptr, __gmp_const char *, int));
1461 
1462 #define mpf_set_ui __gmpf_set_ui
1463 __GMP_DECLSPEC void mpf_set_ui __GMP_PROTO ((mpf_ptr, unsigned long int));
1464 
1465 #define mpf_set_z __gmpf_set_z
1466 __GMP_DECLSPEC void mpf_set_z __GMP_PROTO ((mpf_ptr, mpz_srcptr));
1467 
1468 #define mpf_size __gmpf_size
1469 __GMP_DECLSPEC size_t mpf_size __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1470 
1471 #define mpf_sqrt __gmpf_sqrt
1472 __GMP_DECLSPEC void mpf_sqrt __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1473 
1474 #define mpf_sqrt_ui __gmpf_sqrt_ui
1475 __GMP_DECLSPEC void mpf_sqrt_ui __GMP_PROTO ((mpf_ptr, unsigned long int));
1476 
1477 #define mpf_sub __gmpf_sub
1478 __GMP_DECLSPEC void mpf_sub __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1479 
1480 #define mpf_sub_ui __gmpf_sub_ui
1481 __GMP_DECLSPEC void mpf_sub_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1482 
1483 #define mpf_swap __gmpf_swap
1484 __GMP_DECLSPEC void mpf_swap __GMP_PROTO ((mpf_ptr, mpf_ptr)) __GMP_NOTHROW;
1485 
1486 #define mpf_trunc __gmpf_trunc
1487 __GMP_DECLSPEC void mpf_trunc __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1488 
1489 #define mpf_ui_div __gmpf_ui_div
1490 __GMP_DECLSPEC void mpf_ui_div __GMP_PROTO ((mpf_ptr, unsigned long int, mpf_srcptr));
1491 
1492 #define mpf_ui_sub __gmpf_ui_sub
1493 __GMP_DECLSPEC void mpf_ui_sub __GMP_PROTO ((mpf_ptr, unsigned long int, mpf_srcptr));
1494 
1495 #define mpf_urandomb __gmpf_urandomb
1496 __GMP_DECLSPEC void mpf_urandomb __GMP_PROTO ((mpf_t, gmp_randstate_t, mp_bitcnt_t));
1497 
1498 
1499 /************ Low level positive-integer (i.e. N) routines.  ************/
1500 
1501 /* This is ugly, but we need to make user calls reach the prefixed function. */
1502 
1503 #define mpn_add __MPN(add)
1504 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add)
1505 __GMP_DECLSPEC mp_limb_t mpn_add __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr,mp_size_t));
1506 #endif
1507 
1508 #define mpn_add_1 __MPN(add_1)
1509 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add_1)
1510 __GMP_DECLSPEC mp_limb_t mpn_add_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)) __GMP_NOTHROW;
1511 #endif
1512 
1513 #define mpn_add_n __MPN(add_n)
1514 __GMP_DECLSPEC mp_limb_t mpn_add_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1515 
1516 #define mpn_addmul_1 __MPN(addmul_1)
1517 __GMP_DECLSPEC mp_limb_t mpn_addmul_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1518 
1519 #define mpn_cmp __MPN(cmp)
1520 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_cmp)
1521 __GMP_DECLSPEC int mpn_cmp __GMP_PROTO ((mp_srcptr, mp_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1522 #endif
1523 
1524 #define mpn_divexact_by3(dst,src,size) \
1525   mpn_divexact_by3c (dst, src, size, __GMP_CAST (mp_limb_t, 0))
1526 
1527 #define mpn_divexact_by3c __MPN(divexact_by3c)
1528 __GMP_DECLSPEC mp_limb_t mpn_divexact_by3c __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1529 
1530 #define mpn_divmod_1(qp,np,nsize,dlimb) \
1531   mpn_divrem_1 (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dlimb)
1532 
1533 #define mpn_divrem __MPN(divrem)
1534 __GMP_DECLSPEC mp_limb_t mpn_divrem __GMP_PROTO ((mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t));
1535 
1536 #define mpn_divrem_1 __MPN(divrem_1)
1537 __GMP_DECLSPEC mp_limb_t mpn_divrem_1 __GMP_PROTO ((mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t));
1538 
1539 #define mpn_divrem_2 __MPN(divrem_2)
1540 __GMP_DECLSPEC mp_limb_t mpn_divrem_2 __GMP_PROTO ((mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr));
1541 
1542 #define mpn_gcd __MPN(gcd)
1543 __GMP_DECLSPEC mp_size_t mpn_gcd __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t));
1544 
1545 #define mpn_gcd_1 __MPN(gcd_1)
1546 __GMP_DECLSPEC mp_limb_t mpn_gcd_1 __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t)) __GMP_ATTRIBUTE_PURE;
1547 
1548 #define mpn_gcdext_1 __MPN(gcdext_1)
1549 __GMP_DECLSPEC mp_limb_t mpn_gcdext_1 __GMP_PROTO ((mp_limb_signed_t *, mp_limb_signed_t *, mp_limb_t, mp_limb_t));
1550 
1551 #define mpn_gcdext __MPN(gcdext)
1552 __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));
1553 
1554 #define mpn_get_str __MPN(get_str)
1555 __GMP_DECLSPEC size_t mpn_get_str __GMP_PROTO ((unsigned char *, int, mp_ptr, mp_size_t));
1556 
1557 #define mpn_hamdist __MPN(hamdist)
1558 __GMP_DECLSPEC mp_bitcnt_t mpn_hamdist __GMP_PROTO ((mp_srcptr, mp_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1559 
1560 #define mpn_lshift __MPN(lshift)
1561 __GMP_DECLSPEC mp_limb_t mpn_lshift __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int));
1562 
1563 #define mpn_mod_1 __MPN(mod_1)
1564 __GMP_DECLSPEC mp_limb_t mpn_mod_1 __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t)) __GMP_ATTRIBUTE_PURE;
1565 
1566 #define mpn_mul __MPN(mul)
1567 __GMP_DECLSPEC mp_limb_t mpn_mul __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t));
1568 
1569 #define mpn_mul_1 __MPN(mul_1)
1570 __GMP_DECLSPEC mp_limb_t mpn_mul_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1571 
1572 #define mpn_mul_n __MPN(mul_n)
1573 __GMP_DECLSPEC void mpn_mul_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1574 
1575 #define mpn_sqr __MPN(sqr)
1576 __GMP_DECLSPEC void mpn_sqr __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1577 
1578 #define mpn_neg __MPN(neg)
1579 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_neg)
1580 __GMP_DECLSPEC mp_limb_t mpn_neg __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1581 #endif
1582 
1583 #define mpn_com __MPN(com)
1584 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_com)
1585 __GMP_DECLSPEC void mpn_com __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1586 #endif
1587 
1588 #define mpn_perfect_square_p __MPN(perfect_square_p)
1589 __GMP_DECLSPEC int mpn_perfect_square_p __GMP_PROTO ((mp_srcptr, mp_size_t)) __GMP_ATTRIBUTE_PURE;
1590 
1591 #define mpn_perfect_power_p __MPN(perfect_power_p)
1592 __GMP_DECLSPEC int mpn_perfect_power_p __GMP_PROTO ((mp_srcptr, mp_size_t)) __GMP_ATTRIBUTE_PURE;
1593 
1594 #define mpn_popcount __MPN(popcount)
1595 __GMP_DECLSPEC mp_bitcnt_t mpn_popcount __GMP_PROTO ((mp_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1596 
1597 #define mpn_pow_1 __MPN(pow_1)
1598 __GMP_DECLSPEC mp_size_t mpn_pow_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr));
1599 
1600 /* undocumented now, but retained here for upward compatibility */
1601 #define mpn_preinv_mod_1 __MPN(preinv_mod_1)
1602 __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;
1603 
1604 #define mpn_random __MPN(random)
1605 __GMP_DECLSPEC void mpn_random __GMP_PROTO ((mp_ptr, mp_size_t));
1606 
1607 #define mpn_random2 __MPN(random2)
1608 __GMP_DECLSPEC void mpn_random2 __GMP_PROTO ((mp_ptr, mp_size_t));
1609 
1610 #define mpn_rshift __MPN(rshift)
1611 __GMP_DECLSPEC mp_limb_t mpn_rshift __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int));
1612 
1613 #define mpn_scan0 __MPN(scan0)
1614 __GMP_DECLSPEC mp_bitcnt_t mpn_scan0 __GMP_PROTO ((mp_srcptr, mp_bitcnt_t)) __GMP_ATTRIBUTE_PURE;
1615 
1616 #define mpn_scan1 __MPN(scan1)
1617 __GMP_DECLSPEC mp_bitcnt_t mpn_scan1 __GMP_PROTO ((mp_srcptr, mp_bitcnt_t)) __GMP_ATTRIBUTE_PURE;
1618 
1619 #define mpn_set_str __MPN(set_str)
1620 __GMP_DECLSPEC mp_size_t mpn_set_str __GMP_PROTO ((mp_ptr, __gmp_const unsigned char *, size_t, int));
1621 
1622 #define mpn_sqrtrem __MPN(sqrtrem)
1623 __GMP_DECLSPEC mp_size_t mpn_sqrtrem __GMP_PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_size_t));
1624 
1625 #define mpn_sub __MPN(sub)
1626 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub)
1627 __GMP_DECLSPEC mp_limb_t mpn_sub __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr,mp_size_t));
1628 #endif
1629 
1630 #define mpn_sub_1 __MPN(sub_1)
1631 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub_1)
1632 __GMP_DECLSPEC mp_limb_t mpn_sub_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)) __GMP_NOTHROW;
1633 #endif
1634 
1635 #define mpn_sub_n __MPN(sub_n)
1636 __GMP_DECLSPEC mp_limb_t mpn_sub_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1637 
1638 #define mpn_submul_1 __MPN(submul_1)
1639 __GMP_DECLSPEC mp_limb_t mpn_submul_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1640 
1641 #define mpn_tdiv_qr __MPN(tdiv_qr)
1642 __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));
1643 
1644 #define mpn_and_n __MPN(and_n)
1645 __GMP_DECLSPEC void mpn_and_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1646 #define mpn_andn_n __MPN(andn_n)
1647 __GMP_DECLSPEC void mpn_andn_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1648 #define mpn_nand_n __MPN(nand_n)
1649 __GMP_DECLSPEC void mpn_nand_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1650 #define mpn_ior_n __MPN(ior_n)
1651 __GMP_DECLSPEC void mpn_ior_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1652 #define mpn_iorn_n __MPN(iorn_n)
1653 __GMP_DECLSPEC void mpn_iorn_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1654 #define mpn_nior_n __MPN(nior_n)
1655 __GMP_DECLSPEC void mpn_nior_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1656 #define mpn_xor_n __MPN(xor_n)
1657 __GMP_DECLSPEC void mpn_xor_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1658 #define mpn_xnor_n __MPN(xnor_n)
1659 __GMP_DECLSPEC void mpn_xnor_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1660 
1661 #define mpn_copyi __MPN(copyi)
1662 __GMP_DECLSPEC void mpn_copyi __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1663 #define mpn_copyd __MPN(copyd)
1664 __GMP_DECLSPEC void mpn_copyd __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1665 #define mpn_zero __MPN(zero)
1666 __GMP_DECLSPEC void mpn_zero __GMP_PROTO ((mp_ptr, mp_size_t));
1667 
1668 /**************** mpz inlines ****************/
1669 
1670 /* The following are provided as inlines where possible, but always exist as
1671    library functions too, for binary compatibility.
1672 
1673    Within gmp itself this inlining generally isn't relied on, since it
1674    doesn't get done for all compilers, whereas if something is worth
1675    inlining then it's worth arranging always.
1676 
1677    There are two styles of inlining here.  When the same bit of code is
1678    wanted for the inline as for the library version, then __GMP_FORCE_foo
1679    arranges for that code to be emitted and the __GMP_EXTERN_INLINE
1680    directive suppressed, eg. mpz_fits_uint_p.  When a different bit of code
1681    is wanted for the inline than for the library version, then
1682    __GMP_FORCE_foo arranges the inline to be suppressed, eg. mpz_abs.  */
1683 
1684 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_abs)
1685 __GMP_EXTERN_INLINE void
1686 mpz_abs (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1687 {
1688   if (__gmp_w != __gmp_u)
1689     mpz_set (__gmp_w, __gmp_u);
1690   __gmp_w->_mp_size = __GMP_ABS (__gmp_w->_mp_size);
1691 }
1692 #endif
1693 
1694 #if GMP_NAIL_BITS == 0
1695 #define __GMPZ_FITS_UTYPE_P(z,maxval)					\
1696   mp_size_t  __gmp_n = z->_mp_size;					\
1697   mp_ptr  __gmp_p = z->_mp_d;						\
1698   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval));
1699 #else
1700 #define __GMPZ_FITS_UTYPE_P(z,maxval)					\
1701   mp_size_t  __gmp_n = z->_mp_size;					\
1702   mp_ptr  __gmp_p = z->_mp_d;						\
1703   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval)	\
1704 	  || (__gmp_n == 2 && __gmp_p[1] <= ((mp_limb_t) maxval >> GMP_NUMB_BITS)));
1705 #endif
1706 
1707 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_uint_p)
1708 #if ! defined (__GMP_FORCE_mpz_fits_uint_p)
1709 __GMP_EXTERN_INLINE
1710 #endif
1711 int
1712 mpz_fits_uint_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1713 {
1714   __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_UINT_MAX);
1715 }
1716 #endif
1717 
1718 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ulong_p)
1719 #if ! defined (__GMP_FORCE_mpz_fits_ulong_p)
1720 __GMP_EXTERN_INLINE
1721 #endif
1722 int
1723 mpz_fits_ulong_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1724 {
1725   __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_ULONG_MAX);
1726 }
1727 #endif
1728 
1729 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ushort_p)
1730 #if ! defined (__GMP_FORCE_mpz_fits_ushort_p)
1731 __GMP_EXTERN_INLINE
1732 #endif
1733 int
1734 mpz_fits_ushort_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1735 {
1736   __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_USHRT_MAX);
1737 }
1738 #endif
1739 
1740 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_get_ui)
1741 #if ! defined (__GMP_FORCE_mpz_get_ui)
1742 __GMP_EXTERN_INLINE
1743 #endif
1744 unsigned long
1745 mpz_get_ui (mpz_srcptr __gmp_z) __GMP_NOTHROW
1746 {
1747   mp_ptr __gmp_p = __gmp_z->_mp_d;
1748   mp_size_t __gmp_n = __gmp_z->_mp_size;
1749   mp_limb_t __gmp_l = __gmp_p[0];
1750   /* This is a "#if" rather than a plain "if" so as to avoid gcc warnings
1751      about "<< GMP_NUMB_BITS" exceeding the type size, and to avoid Borland
1752      C++ 6.0 warnings about condition always true for something like
1753      "__GMP_ULONG_MAX < GMP_NUMB_MASK".  */
1754 #if GMP_NAIL_BITS == 0 || defined (_LONG_LONG_LIMB)
1755   /* limb==long and no nails, or limb==longlong, one limb is enough */
1756   return (__gmp_n != 0 ? __gmp_l : 0);
1757 #else
1758   /* limb==long and nails, need two limbs when available */
1759   __gmp_n = __GMP_ABS (__gmp_n);
1760   if (__gmp_n <= 1)
1761     return (__gmp_n != 0 ? __gmp_l : 0);
1762   else
1763     return __gmp_l + (__gmp_p[1] << GMP_NUMB_BITS);
1764 #endif
1765 }
1766 #endif
1767 
1768 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_getlimbn)
1769 #if ! defined (__GMP_FORCE_mpz_getlimbn)
1770 __GMP_EXTERN_INLINE
1771 #endif
1772 mp_limb_t
1773 mpz_getlimbn (mpz_srcptr __gmp_z, mp_size_t __gmp_n) __GMP_NOTHROW
1774 {
1775   mp_limb_t  __gmp_result = 0;
1776   if (__GMP_LIKELY (__gmp_n >= 0 && __gmp_n < __GMP_ABS (__gmp_z->_mp_size)))
1777     __gmp_result = __gmp_z->_mp_d[__gmp_n];
1778   return __gmp_result;
1779 }
1780 #endif
1781 
1782 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_neg)
1783 __GMP_EXTERN_INLINE void
1784 mpz_neg (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1785 {
1786   if (__gmp_w != __gmp_u)
1787     mpz_set (__gmp_w, __gmp_u);
1788   __gmp_w->_mp_size = - __gmp_w->_mp_size;
1789 }
1790 #endif
1791 
1792 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_perfect_square_p)
1793 #if ! defined (__GMP_FORCE_mpz_perfect_square_p)
1794 __GMP_EXTERN_INLINE
1795 #endif
1796 int
1797 mpz_perfect_square_p (mpz_srcptr __gmp_a)
1798 {
1799   mp_size_t __gmp_asize;
1800   int       __gmp_result;
1801 
1802   __gmp_asize = __gmp_a->_mp_size;
1803   __gmp_result = (__gmp_asize >= 0);  /* zero is a square, negatives are not */
1804   if (__GMP_LIKELY (__gmp_asize > 0))
1805     __gmp_result = mpn_perfect_square_p (__gmp_a->_mp_d, __gmp_asize);
1806   return __gmp_result;
1807 }
1808 #endif
1809 
1810 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_popcount)
1811 #if ! defined (__GMP_FORCE_mpz_popcount)
1812 __GMP_EXTERN_INLINE
1813 #endif
1814 mp_bitcnt_t
1815 mpz_popcount (mpz_srcptr __gmp_u) __GMP_NOTHROW
1816 {
1817   mp_size_t      __gmp_usize;
1818   mp_bitcnt_t    __gmp_result;
1819 
1820   __gmp_usize = __gmp_u->_mp_size;
1821   __gmp_result = (__gmp_usize < 0 ? __GMP_ULONG_MAX : 0);
1822   if (__GMP_LIKELY (__gmp_usize > 0))
1823     __gmp_result =  mpn_popcount (__gmp_u->_mp_d, __gmp_usize);
1824   return __gmp_result;
1825 }
1826 #endif
1827 
1828 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_set_q)
1829 #if ! defined (__GMP_FORCE_mpz_set_q)
1830 __GMP_EXTERN_INLINE
1831 #endif
1832 void
1833 mpz_set_q (mpz_ptr __gmp_w, mpq_srcptr __gmp_u)
1834 {
1835   mpz_tdiv_q (__gmp_w, mpq_numref (__gmp_u), mpq_denref (__gmp_u));
1836 }
1837 #endif
1838 
1839 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_size)
1840 #if ! defined (__GMP_FORCE_mpz_size)
1841 __GMP_EXTERN_INLINE
1842 #endif
1843 size_t
1844 mpz_size (mpz_srcptr __gmp_z) __GMP_NOTHROW
1845 {
1846   return __GMP_ABS (__gmp_z->_mp_size);
1847 }
1848 #endif
1849 
1850 
1851 /**************** mpq inlines ****************/
1852 
1853 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_abs)
1854 __GMP_EXTERN_INLINE void
1855 mpq_abs (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1856 {
1857   if (__gmp_w != __gmp_u)
1858     mpq_set (__gmp_w, __gmp_u);
1859   __gmp_w->_mp_num._mp_size = __GMP_ABS (__gmp_w->_mp_num._mp_size);
1860 }
1861 #endif
1862 
1863 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_neg)
1864 __GMP_EXTERN_INLINE void
1865 mpq_neg (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1866 {
1867   if (__gmp_w != __gmp_u)
1868     mpq_set (__gmp_w, __gmp_u);
1869   __gmp_w->_mp_num._mp_size = - __gmp_w->_mp_num._mp_size;
1870 }
1871 #endif
1872 
1873 
1874 /**************** mpn inlines ****************/
1875 
1876 /* The comments with __GMPN_ADD_1 below apply here too.
1877 
1878    The test for FUNCTION returning 0 should predict well.  If it's assumed
1879    {yp,ysize} will usually have a random number of bits then the high limb
1880    won't be full and a carry out will occur a good deal less than 50% of the
1881    time.
1882 
1883    ysize==0 isn't a documented feature, but is used internally in a few
1884    places.
1885 
1886    Producing cout last stops it using up a register during the main part of
1887    the calculation, though gcc (as of 3.0) on an "if (mpn_add (...))"
1888    doesn't seem able to move the true and false legs of the conditional up
1889    to the two places cout is generated.  */
1890 
1891 #define __GMPN_AORS(cout, wp, xp, xsize, yp, ysize, FUNCTION, TEST)     \
1892   do {                                                                  \
1893     mp_size_t  __gmp_i;                                                 \
1894     mp_limb_t  __gmp_x;                                                 \
1895                                                                         \
1896     /* ASSERT ((ysize) >= 0); */                                        \
1897     /* ASSERT ((xsize) >= (ysize)); */                                  \
1898     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, xp, xsize)); */      \
1899     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, yp, ysize)); */      \
1900                                                                         \
1901     __gmp_i = (ysize);                                                  \
1902     if (__gmp_i != 0)                                                   \
1903       {                                                                 \
1904         if (FUNCTION (wp, xp, yp, __gmp_i))                             \
1905           {                                                             \
1906             do                                                          \
1907               {                                                         \
1908                 if (__gmp_i >= (xsize))                                 \
1909                   {                                                     \
1910                     (cout) = 1;                                         \
1911                     goto __gmp_done;                                    \
1912                   }                                                     \
1913                 __gmp_x = (xp)[__gmp_i];                                \
1914               }                                                         \
1915             while (TEST);                                               \
1916           }                                                             \
1917       }                                                                 \
1918     if ((wp) != (xp))                                                   \
1919       __GMPN_COPY_REST (wp, xp, xsize, __gmp_i);                        \
1920     (cout) = 0;                                                         \
1921   __gmp_done:                                                           \
1922     ;                                                                   \
1923   } while (0)
1924 
1925 #define __GMPN_ADD(cout, wp, xp, xsize, yp, ysize)              \
1926   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_add_n,       \
1927                (((wp)[__gmp_i++] = (__gmp_x + 1) & GMP_NUMB_MASK) == 0))
1928 #define __GMPN_SUB(cout, wp, xp, xsize, yp, ysize)              \
1929   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_sub_n,       \
1930                (((wp)[__gmp_i++] = (__gmp_x - 1) & GMP_NUMB_MASK), __gmp_x == 0))
1931 
1932 
1933 /* The use of __gmp_i indexing is designed to ensure a compile time src==dst
1934    remains nice and clear to the compiler, so that __GMPN_COPY_REST can
1935    disappear, and the load/add/store gets a chance to become a
1936    read-modify-write on CISC CPUs.
1937 
1938    Alternatives:
1939 
1940    Using a pair of pointers instead of indexing would be possible, but gcc
1941    isn't able to recognise compile-time src==dst in that case, even when the
1942    pointers are incremented more or less together.  Other compilers would
1943    very likely have similar difficulty.
1944 
1945    gcc could use "if (__builtin_constant_p(src==dst) && src==dst)" or
1946    similar to detect a compile-time src==dst.  This works nicely on gcc
1947    2.95.x, it's not good on gcc 3.0 where __builtin_constant_p(p==p) seems
1948    to be always false, for a pointer p.  But the current code form seems
1949    good enough for src==dst anyway.
1950 
1951    gcc on x86 as usual doesn't give particularly good flags handling for the
1952    carry/borrow detection.  It's tempting to want some multi instruction asm
1953    blocks to help it, and this was tried, but in truth there's only a few
1954    instructions to save and any gain is all too easily lost by register
1955    juggling setting up for the asm.  */
1956 
1957 #if GMP_NAIL_BITS == 0
1958 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
1959   do {								\
1960     mp_size_t  __gmp_i;						\
1961     mp_limb_t  __gmp_x, __gmp_r;                                \
1962 								\
1963     /* ASSERT ((n) >= 1); */					\
1964     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
1965 								\
1966     __gmp_x = (src)[0];						\
1967     __gmp_r = __gmp_x OP (v);                                   \
1968     (dst)[0] = __gmp_r;						\
1969     if (CB (__gmp_r, __gmp_x, (v)))                             \
1970       {								\
1971 	(cout) = 1;						\
1972 	for (__gmp_i = 1; __gmp_i < (n);)                       \
1973 	  {							\
1974 	    __gmp_x = (src)[__gmp_i];                           \
1975 	    __gmp_r = __gmp_x OP 1;                             \
1976 	    (dst)[__gmp_i] = __gmp_r;                           \
1977 	    ++__gmp_i;						\
1978 	    if (!CB (__gmp_r, __gmp_x, 1))                      \
1979 	      {							\
1980 		if ((src) != (dst))				\
1981 		  __GMPN_COPY_REST (dst, src, n, __gmp_i);      \
1982 		(cout) = 0;					\
1983 		break;						\
1984 	      }							\
1985 	  }							\
1986       }								\
1987     else							\
1988       {								\
1989 	if ((src) != (dst))					\
1990 	  __GMPN_COPY_REST (dst, src, n, 1);			\
1991 	(cout) = 0;						\
1992       }								\
1993   } while (0)
1994 #endif
1995 
1996 #if GMP_NAIL_BITS >= 1
1997 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
1998   do {								\
1999     mp_size_t  __gmp_i;						\
2000     mp_limb_t  __gmp_x, __gmp_r;				\
2001 								\
2002     /* ASSERT ((n) >= 1); */					\
2003     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
2004 								\
2005     __gmp_x = (src)[0];						\
2006     __gmp_r = __gmp_x OP (v);					\
2007     (dst)[0] = __gmp_r & GMP_NUMB_MASK;				\
2008     if (__gmp_r >> GMP_NUMB_BITS != 0)				\
2009       {								\
2010 	(cout) = 1;						\
2011 	for (__gmp_i = 1; __gmp_i < (n);)			\
2012 	  {							\
2013 	    __gmp_x = (src)[__gmp_i];				\
2014 	    __gmp_r = __gmp_x OP 1;				\
2015 	    (dst)[__gmp_i] = __gmp_r & GMP_NUMB_MASK;		\
2016 	    ++__gmp_i;						\
2017 	    if (__gmp_r >> GMP_NUMB_BITS == 0)			\
2018 	      {							\
2019 		if ((src) != (dst))				\
2020 		  __GMPN_COPY_REST (dst, src, n, __gmp_i);	\
2021 		(cout) = 0;					\
2022 		break;						\
2023 	      }							\
2024 	  }							\
2025       }								\
2026     else							\
2027       {								\
2028 	if ((src) != (dst))					\
2029 	  __GMPN_COPY_REST (dst, src, n, 1);			\
2030 	(cout) = 0;						\
2031       }								\
2032   } while (0)
2033 #endif
2034 
2035 #define __GMPN_ADDCB(r,x,y) ((r) < (y))
2036 #define __GMPN_SUBCB(r,x,y) ((x) < (y))
2037 
2038 #define __GMPN_ADD_1(cout, dst, src, n, v)	     \
2039   __GMPN_AORS_1(cout, dst, src, n, v, +, __GMPN_ADDCB)
2040 #define __GMPN_SUB_1(cout, dst, src, n, v)	     \
2041   __GMPN_AORS_1(cout, dst, src, n, v, -, __GMPN_SUBCB)
2042 
2043 
2044 /* Compare {xp,size} and {yp,size}, setting "result" to positive, zero or
2045    negative.  size==0 is allowed.  On random data usually only one limb will
2046    need to be examined to get a result, so it's worth having it inline.  */
2047 #define __GMPN_CMP(result, xp, yp, size)                                \
2048   do {                                                                  \
2049     mp_size_t  __gmp_i;                                                 \
2050     mp_limb_t  __gmp_x, __gmp_y;                                        \
2051                                                                         \
2052     /* ASSERT ((size) >= 0); */                                         \
2053                                                                         \
2054     (result) = 0;                                                       \
2055     __gmp_i = (size);                                                   \
2056     while (--__gmp_i >= 0)                                              \
2057       {                                                                 \
2058         __gmp_x = (xp)[__gmp_i];                                        \
2059         __gmp_y = (yp)[__gmp_i];                                        \
2060         if (__gmp_x != __gmp_y)                                         \
2061           {                                                             \
2062             /* Cannot use __gmp_x - __gmp_y, may overflow an "int" */   \
2063             (result) = (__gmp_x > __gmp_y ? 1 : -1);                    \
2064             break;                                                      \
2065           }                                                             \
2066       }                                                                 \
2067   } while (0)
2068 
2069 
2070 #if defined (__GMPN_COPY) && ! defined (__GMPN_COPY_REST)
2071 #define __GMPN_COPY_REST(dst, src, size, start)                 \
2072   do {                                                          \
2073     /* ASSERT ((start) >= 0); */                                \
2074     /* ASSERT ((start) <= (size)); */                           \
2075     __GMPN_COPY ((dst)+(start), (src)+(start), (size)-(start)); \
2076   } while (0)
2077 #endif
2078 
2079 /* Copy {src,size} to {dst,size}, starting at "start".  This is designed to
2080    keep the indexing dst[j] and src[j] nice and simple for __GMPN_ADD_1,
2081    __GMPN_ADD, etc.  */
2082 #if ! defined (__GMPN_COPY_REST)
2083 #define __GMPN_COPY_REST(dst, src, size, start)                 \
2084   do {                                                          \
2085     mp_size_t __gmp_j;                                          \
2086     /* ASSERT ((size) >= 0); */                                 \
2087     /* ASSERT ((start) >= 0); */                                \
2088     /* ASSERT ((start) <= (size)); */                           \
2089     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */     \
2090     __GMP_CRAY_Pragma ("_CRI ivdep");                           \
2091     for (__gmp_j = (start); __gmp_j < (size); __gmp_j++)        \
2092       (dst)[__gmp_j] = (src)[__gmp_j];                          \
2093   } while (0)
2094 #endif
2095 
2096 /* Enhancement: Use some of the smarter code from gmp-impl.h.  Maybe use
2097    mpn_copyi if there's a native version, and if we don't mind demanding
2098    binary compatibility for it (on targets which use it).  */
2099 
2100 #if ! defined (__GMPN_COPY)
2101 #define __GMPN_COPY(dst, src, size)   __GMPN_COPY_REST (dst, src, size, 0)
2102 #endif
2103 
2104 
2105 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add)
2106 #if ! defined (__GMP_FORCE_mpn_add)
2107 __GMP_EXTERN_INLINE
2108 #endif
2109 mp_limb_t
2110 mpn_add (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2111 {
2112   mp_limb_t  __gmp_c;
2113   __GMPN_ADD (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2114   return __gmp_c;
2115 }
2116 #endif
2117 
2118 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add_1)
2119 #if ! defined (__GMP_FORCE_mpn_add_1)
2120 __GMP_EXTERN_INLINE
2121 #endif
2122 mp_limb_t
2123 mpn_add_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2124 {
2125   mp_limb_t  __gmp_c;
2126   __GMPN_ADD_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2127   return __gmp_c;
2128 }
2129 #endif
2130 
2131 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_cmp)
2132 #if ! defined (__GMP_FORCE_mpn_cmp)
2133 __GMP_EXTERN_INLINE
2134 #endif
2135 int
2136 mpn_cmp (mp_srcptr __gmp_xp, mp_srcptr __gmp_yp, mp_size_t __gmp_size) __GMP_NOTHROW
2137 {
2138   int __gmp_result;
2139   __GMPN_CMP (__gmp_result, __gmp_xp, __gmp_yp, __gmp_size);
2140   return __gmp_result;
2141 }
2142 #endif
2143 
2144 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub)
2145 #if ! defined (__GMP_FORCE_mpn_sub)
2146 __GMP_EXTERN_INLINE
2147 #endif
2148 mp_limb_t
2149 mpn_sub (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2150 {
2151   mp_limb_t  __gmp_c;
2152   __GMPN_SUB (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2153   return __gmp_c;
2154 }
2155 #endif
2156 
2157 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub_1)
2158 #if ! defined (__GMP_FORCE_mpn_sub_1)
2159 __GMP_EXTERN_INLINE
2160 #endif
2161 mp_limb_t
2162 mpn_sub_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2163 {
2164   mp_limb_t  __gmp_c;
2165   __GMPN_SUB_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2166   return __gmp_c;
2167 }
2168 #endif
2169 
2170 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_neg)
2171 #if ! defined (__GMP_FORCE_mpn_neg)
2172 __GMP_EXTERN_INLINE
2173 #endif
2174 mp_limb_t
2175 mpn_neg (mp_ptr __gmp_rp, mp_srcptr __gmp_up, mp_size_t __gmp_n)
2176 {
2177   mp_limb_t __gmp_ul, __gmp_cy;
2178   __gmp_cy = 0;
2179   do {
2180       __gmp_ul = *__gmp_up++;
2181       *__gmp_rp++ = -__gmp_ul - __gmp_cy;
2182       __gmp_cy |= __gmp_ul != 0;
2183   } while (--__gmp_n != 0);
2184   return __gmp_cy;
2185 }
2186 #endif
2187 
2188 #if defined (__cplusplus)
2189 }
2190 #endif
2191 
2192 
2193 /* Allow faster testing for negative, zero, and positive.  */
2194 #define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0)
2195 #define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0)
2196 #define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0)
2197 
2198 /* When using GCC, optimize certain common comparisons.  */
2199 #if defined (__GNUC__) && __GNUC__ >= 2
2200 #define mpz_cmp_ui(Z,UI) \
2201   (__builtin_constant_p (UI) && (UI) == 0				\
2202    ? mpz_sgn (Z) : _mpz_cmp_ui (Z,UI))
2203 #define mpz_cmp_si(Z,SI) \
2204   (__builtin_constant_p (SI) && (SI) == 0 ? mpz_sgn (Z)			\
2205    : __builtin_constant_p (SI) && (SI) > 0				\
2206     ? _mpz_cmp_ui (Z, __GMP_CAST (unsigned long int, SI))		\
2207    : _mpz_cmp_si (Z,SI))
2208 #define mpq_cmp_ui(Q,NUI,DUI) \
2209   (__builtin_constant_p (NUI) && (NUI) == 0				\
2210    ? mpq_sgn (Q) : _mpq_cmp_ui (Q,NUI,DUI))
2211 #define mpq_cmp_si(q,n,d)                       \
2212   (__builtin_constant_p ((n) >= 0) && (n) >= 0  \
2213    ? mpq_cmp_ui (q, __GMP_CAST (unsigned long, n), d) \
2214    : _mpq_cmp_si (q, n, d))
2215 #else
2216 #define mpz_cmp_ui(Z,UI) _mpz_cmp_ui (Z,UI)
2217 #define mpz_cmp_si(Z,UI) _mpz_cmp_si (Z,UI)
2218 #define mpq_cmp_ui(Q,NUI,DUI) _mpq_cmp_ui (Q,NUI,DUI)
2219 #define mpq_cmp_si(q,n,d)  _mpq_cmp_si(q,n,d)
2220 #endif
2221 
2222 
2223 /* Using "&" rather than "&&" means these can come out branch-free.  Every
2224    mpz_t has at least one limb allocated, so fetching the low limb is always
2225    allowed.  */
2226 #define mpz_odd_p(z)   (((z)->_mp_size != 0) & __GMP_CAST (int, (z)->_mp_d[0]))
2227 #define mpz_even_p(z)  (! mpz_odd_p (z))
2228 
2229 
2230 /**************** C++ routines ****************/
2231 
2232 #ifdef __cplusplus
2233 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpz_srcptr);
2234 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpq_srcptr);
2235 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpf_srcptr);
2236 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpz_ptr);
2237 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpq_ptr);
2238 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpf_ptr);
2239 #endif
2240 
2241 
2242 /* Source-level compatibility with GMP 2 and earlier. */
2243 #define mpn_divmod(qp,np,nsize,dp,dsize) \
2244   mpn_divrem (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dp, dsize)
2245 
2246 /* Source-level compatibility with GMP 1.  */
2247 #define mpz_mdiv	mpz_fdiv_q
2248 #define mpz_mdivmod	mpz_fdiv_qr
2249 #define mpz_mmod	mpz_fdiv_r
2250 #define mpz_mdiv_ui	mpz_fdiv_q_ui
2251 #define mpz_mdivmod_ui(q,r,n,d) \
2252   (((r) == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d))
2253 #define mpz_mmod_ui(r,n,d) \
2254   (((r) == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d))
2255 
2256 /* Useful synonyms, but not quite compatible with GMP 1.  */
2257 #define mpz_div		mpz_fdiv_q
2258 #define mpz_divmod	mpz_fdiv_qr
2259 #define mpz_div_ui	mpz_fdiv_q_ui
2260 #define mpz_divmod_ui	mpz_fdiv_qr_ui
2261 #define mpz_div_2exp	mpz_fdiv_q_2exp
2262 #define mpz_mod_2exp	mpz_fdiv_r_2exp
2263 
2264 enum
2265 {
2266   GMP_ERROR_NONE = 0,
2267   GMP_ERROR_UNSUPPORTED_ARGUMENT = 1,
2268   GMP_ERROR_DIVISION_BY_ZERO = 2,
2269   GMP_ERROR_SQRT_OF_NEGATIVE = 4,
2270   GMP_ERROR_INVALID_ARGUMENT = 8
2271 };
2272 
2273 /* Define CC and CFLAGS which were used to build this version of GMP */
2274 #define __GMP_CC "gcc -std=gnu99"
2275 #define __GMP_CFLAGS "-O2 -pedantic -m64 -mptr64 -mcpu=v9"
2276 
2277 /* Major version number is the value of __GNU_MP__ too, above and in mp.h. */
2278 #define __GNU_MP_VERSION 5
2279 #define __GNU_MP_VERSION_MINOR 0
2280 #define __GNU_MP_VERSION_PATCHLEVEL 2
2281 #define __GMP_MP_RELEASE (__GNU_MP_VERSION * 10000 + __GNU_MP_VERSION_MINOR * 100 + __GNU_MP_VERSION_PATCHLEVEL)
2282 
2283 #define __GMP_H__
2284 #endif /* __GMP_H__ */
2285