xref: /netbsd-src/external/lgpl3/gmp/lib/libgmp/arch/powerpc/gmp.h (revision 9fd8799cb5ceb66c69f2eb1a6d26a1d587ba1f1e)
1 /* Definitions for GNU multiple precision functions.   -*- mode: c -*-
2 
3 Copyright 1991, 1993-1997, 1999-2016, 2020 Free Software Foundation, Inc.
4 
5 This file is part of the GNU MP Library.
6 
7 The GNU MP Library is free software; you can redistribute it and/or modify
8 it under the terms of either:
9 
10   * the GNU Lesser General Public License as published by the Free
11     Software Foundation; either version 3 of the License, or (at your
12     option) any later version.
13 
14 or
15 
16   * the GNU General Public License as published by the Free Software
17     Foundation; either version 2 of the License, or (at your option) any
18     later version.
19 
20 or both in parallel, as here.
21 
22 The GNU MP Library is distributed in the hope that it will be useful, but
23 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
24 or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
25 for more details.
26 
27 You should have received copies of the GNU General Public License and the
28 GNU Lesser General Public License along with the GNU MP Library.  If not,
29 see https://www.gnu.org/licenses/.  */
30 
31 #ifndef __GMP_H__
32 
33 #if defined (__cplusplus)
34 #include <iosfwd>   /* for std::istream, std::ostream, std::string */
35 #include <cstdio>
36 #endif
37 
38 
39 /* Instantiated by configure. */
40 #if ! defined (__GMP_WITHIN_CONFIGURE)
41 #define __GMP_HAVE_HOST_CPU_FAMILY_power   0
42 #define __GMP_HAVE_HOST_CPU_FAMILY_powerpc 1
43 #define GMP_LIMB_BITS                      32
44 #define GMP_NAIL_BITS                      0
45 #endif
46 #define GMP_NUMB_BITS     (GMP_LIMB_BITS - GMP_NAIL_BITS)
47 #define GMP_NUMB_MASK     ((~ __GMP_CAST (mp_limb_t, 0)) >> GMP_NAIL_BITS)
48 #define GMP_NUMB_MAX      GMP_NUMB_MASK
49 #define GMP_NAIL_MASK     (~ GMP_NUMB_MASK)
50 
51 
52 #ifndef __GNU_MP__
53 #define __GNU_MP__ 6
54 
55 #include <stddef.h>    /* for size_t */
56 #include <limits.h>
57 
58 /* Instantiated by configure. */
59 #if ! defined (__GMP_WITHIN_CONFIGURE)
60 /* #undef _LONG_LONG_LIMB */
61 #define __GMP_LIBGMP_DLL  0
62 #endif
63 
64 
65 /* __GMP_DECLSPEC supports Windows DLL versions of libgmp, and is empty in
66    all other circumstances.
67 
68    When compiling objects for libgmp, __GMP_DECLSPEC is an export directive,
69    or when compiling for an application it's an import directive.  The two
70    cases are differentiated by __GMP_WITHIN_GMP defined by the GMP Makefiles
71    (and not defined from an application).
72 
73    __GMP_DECLSPEC_XX is similarly used for libgmpxx.  __GMP_WITHIN_GMPXX
74    indicates when building libgmpxx, and in that case libgmpxx functions are
75    exports, but libgmp functions which might get called are imports.
76 
77    Libtool DLL_EXPORT define is not used.
78 
79    There's no attempt to support GMP built both static and DLL.  Doing so
80    would mean applications would have to tell us which of the two is going
81    to be used when linking, and that seems very tedious and error prone if
82    using GMP by hand, and equally tedious from a package since autoconf and
83    automake don't give much help.
84 
85    __GMP_DECLSPEC is required on all documented global functions and
86    variables, the various internals in gmp-impl.h etc can be left unadorned.
87    But internals used by the test programs or speed measuring programs
88    should have __GMP_DECLSPEC, and certainly constants or variables must
89    have it or the wrong address will be resolved.
90 
91    In gcc __declspec can go at either the start or end of a prototype.
92 
93    In Microsoft C __declspec must go at the start, or after the type like
94    void __declspec(...) *foo()".  There's no __dllexport or anything to
95    guard against someone foolish #defining dllexport.  _export used to be
96    available, but no longer.
97 
98    In Borland C _export still exists, but needs to go after the type, like
99    "void _export foo();".  Would have to change the __GMP_DECLSPEC syntax to
100    make use of that.  Probably more trouble than it's worth.  */
101 
102 #if defined (__GNUC__)
103 #define __GMP_DECLSPEC_EXPORT  __declspec(__dllexport__)
104 #define __GMP_DECLSPEC_IMPORT  __declspec(__dllimport__)
105 #endif
106 #if defined (_MSC_VER) || defined (__BORLANDC__)
107 #define __GMP_DECLSPEC_EXPORT  __declspec(dllexport)
108 #define __GMP_DECLSPEC_IMPORT  __declspec(dllimport)
109 #endif
110 #ifdef __WATCOMC__
111 #define __GMP_DECLSPEC_EXPORT  __export
112 #define __GMP_DECLSPEC_IMPORT  __import
113 #endif
114 #ifdef __IBMC__
115 #define __GMP_DECLSPEC_EXPORT  _Export
116 #define __GMP_DECLSPEC_IMPORT  _Import
117 #endif
118 
119 #if __GMP_LIBGMP_DLL
120 #ifdef __GMP_WITHIN_GMP
121 /* compiling to go into a DLL libgmp */
122 #define __GMP_DECLSPEC  __GMP_DECLSPEC_EXPORT
123 #else
124 /* compiling to go into an application which will link to a DLL libgmp */
125 #define __GMP_DECLSPEC  __GMP_DECLSPEC_IMPORT
126 #endif
127 #else
128 /* all other cases */
129 #define __GMP_DECLSPEC
130 #endif
131 
132 
133 #ifdef __GMP_SHORT_LIMB
134 typedef unsigned int		mp_limb_t;
135 typedef int			mp_limb_signed_t;
136 #else
137 #ifdef _LONG_LONG_LIMB
138 typedef unsigned long long int	mp_limb_t;
139 typedef long long int		mp_limb_signed_t;
140 #else
141 typedef unsigned long int	mp_limb_t;
142 typedef long int		mp_limb_signed_t;
143 #endif
144 #endif
145 typedef unsigned long int	mp_bitcnt_t;
146 
147 /* For reference, note that the name __mpz_struct gets into C++ mangled
148    function names, which means although the "__" suggests an internal, we
149    must leave this name for binary compatibility.  */
150 typedef struct
151 {
152   int _mp_alloc;		/* Number of *limbs* allocated and pointed
153 				   to by the _mp_d field.  */
154   int _mp_size;			/* abs(_mp_size) is the number of limbs the
155 				   last field points to.  If _mp_size is
156 				   negative this is a negative number.  */
157   mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
158 } __mpz_struct;
159 
160 #endif /* __GNU_MP__ */
161 
162 
163 typedef __mpz_struct MP_INT;    /* gmp 1 source compatibility */
164 typedef __mpz_struct mpz_t[1];
165 
166 typedef mp_limb_t *		mp_ptr;
167 typedef const mp_limb_t *	mp_srcptr;
168 #if defined (_CRAY) && ! defined (_CRAYMPP)
169 /* plain `int' is much faster (48 bits) */
170 #define __GMP_MP_SIZE_T_INT     1
171 typedef int			mp_size_t;
172 typedef int			mp_exp_t;
173 #else
174 #define __GMP_MP_SIZE_T_INT     0
175 typedef long int		mp_size_t;
176 typedef long int		mp_exp_t;
177 #endif
178 
179 typedef struct
180 {
181   __mpz_struct _mp_num;
182   __mpz_struct _mp_den;
183 } __mpq_struct;
184 
185 typedef __mpq_struct MP_RAT;    /* gmp 1 source compatibility */
186 typedef __mpq_struct mpq_t[1];
187 
188 typedef struct
189 {
190   int _mp_prec;			/* Max precision, in number of `mp_limb_t's.
191 				   Set by mpf_init and modified by
192 				   mpf_set_prec.  The area pointed to by the
193 				   _mp_d field contains `prec' + 1 limbs.  */
194   int _mp_size;			/* abs(_mp_size) is the number of limbs the
195 				   last field points to.  If _mp_size is
196 				   negative this is a negative number.  */
197   mp_exp_t _mp_exp;		/* Exponent, in the base of `mp_limb_t'.  */
198   mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
199 } __mpf_struct;
200 
201 /* typedef __mpf_struct MP_FLOAT; */
202 typedef __mpf_struct mpf_t[1];
203 
204 /* Available random number generation algorithms.  */
205 typedef enum
206 {
207   GMP_RAND_ALG_DEFAULT = 0,
208   GMP_RAND_ALG_LC = GMP_RAND_ALG_DEFAULT /* Linear congruential.  */
209 } gmp_randalg_t;
210 
211 /* Random state struct.  */
212 typedef struct
213 {
214   mpz_t _mp_seed;	  /* _mp_d member points to state of the generator. */
215   gmp_randalg_t _mp_alg;  /* Currently unused. */
216   union {
217     void *_mp_lc;         /* Pointer to function pointers structure.  */
218   } _mp_algdata;
219 } __gmp_randstate_struct;
220 typedef __gmp_randstate_struct gmp_randstate_t[1];
221 
222 /* Types for function declarations in gmp files.  */
223 /* ??? Should not pollute user name space with these ??? */
224 typedef const __mpz_struct *mpz_srcptr;
225 typedef __mpz_struct *mpz_ptr;
226 typedef const __mpf_struct *mpf_srcptr;
227 typedef __mpf_struct *mpf_ptr;
228 typedef const __mpq_struct *mpq_srcptr;
229 typedef __mpq_struct *mpq_ptr;
230 
231 
232 #if __GMP_LIBGMP_DLL
233 #ifdef __GMP_WITHIN_GMPXX
234 /* compiling to go into a DLL libgmpxx */
235 #define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_EXPORT
236 #else
237 /* compiling to go into a application which will link to a DLL libgmpxx */
238 #define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_IMPORT
239 #endif
240 #else
241 /* all other cases */
242 #define __GMP_DECLSPEC_XX
243 #endif
244 
245 
246 #ifndef __MPN
247 #define __MPN(x) __gmpn_##x
248 #endif
249 
250 /* For reference, "defined(EOF)" cannot be used here.  In g++ 2.95.4,
251    <iostream> defines EOF but not FILE.  */
252 #if defined (FILE)                                              \
253   || defined (H_STDIO)                                          \
254   || defined (_H_STDIO)               /* AIX */                 \
255   || defined (_STDIO_H)               /* glibc, Sun, SCO */     \
256   || defined (_STDIO_H_)              /* BSD, OSF */            \
257   || defined (__STDIO_H)              /* Borland */             \
258   || defined (__STDIO_H__)            /* IRIX */                \
259   || defined (_STDIO_INCLUDED)        /* HPUX */                \
260   || defined (__dj_include_stdio_h_)  /* DJGPP */               \
261   || defined (_FILE_DEFINED)          /* Microsoft */           \
262   || defined (__STDIO__)              /* Apple MPW MrC */       \
263   || defined (_MSL_STDIO_H)           /* Metrowerks */          \
264   || defined (_STDIO_H_INCLUDED)      /* QNX4 */		\
265   || defined (_ISO_STDIO_ISO_H)       /* Sun C++ */		\
266   || defined (__STDIO_LOADED)         /* VMS */			\
267   || defined (__DEFINED_FILE)         /* musl */
268 #define _GMP_H_HAVE_FILE 1
269 #endif
270 
271 /* In ISO C, if a prototype involving "struct obstack *" is given without
272    that structure defined, then the struct is scoped down to just the
273    prototype, causing a conflict if it's subsequently defined for real.  So
274    only give prototypes if we've got obstack.h.  */
275 #if defined (_OBSTACK_H)   /* glibc <obstack.h> */
276 #define _GMP_H_HAVE_OBSTACK 1
277 #endif
278 
279 /* The prototypes for gmp_vprintf etc are provided only if va_list is defined,
280    via an application having included <stdarg.h>.  Usually va_list is a typedef
281    so can't be tested directly, but C99 specifies that va_start is a macro.
282 
283    <stdio.h> will define some sort of va_list for vprintf and vfprintf, but
284    let's not bother trying to use that since it's not standard and since
285    application uses for gmp_vprintf etc will almost certainly require the
286    whole <stdarg.h> anyway.  */
287 
288 #ifdef va_start
289 #define _GMP_H_HAVE_VA_LIST 1
290 #endif
291 
292 /* Test for gcc >= maj.min, as per __GNUC_PREREQ in glibc */
293 #if defined (__GNUC__) && defined (__GNUC_MINOR__)
294 #define __GMP_GNUC_PREREQ(maj, min) \
295   ((__GNUC__ << 16) + __GNUC_MINOR__ >= ((maj) << 16) + (min))
296 #else
297 #define __GMP_GNUC_PREREQ(maj, min)  0
298 #endif
299 
300 /* "pure" is in gcc 2.96 and up, see "(gcc)Function Attributes".  Basically
301    it means a function does nothing but examine its arguments and memory
302    (global or via arguments) to generate a return value, but changes nothing
303    and has no side-effects.  __GMP_NO_ATTRIBUTE_CONST_PURE lets
304    tune/common.c etc turn this off when trying to write timing loops.  */
305 #if __GMP_GNUC_PREREQ (2,96) && ! defined (__GMP_NO_ATTRIBUTE_CONST_PURE)
306 #define __GMP_ATTRIBUTE_PURE   __attribute__ ((__pure__))
307 #else
308 #define __GMP_ATTRIBUTE_PURE
309 #endif
310 
311 
312 /* __GMP_CAST allows us to use static_cast in C++, so our macros are clean
313    to "g++ -Wold-style-cast".
314 
315    Casts in "extern inline" code within an extern "C" block don't induce
316    these warnings, so __GMP_CAST only needs to be used on documented
317    macros.  */
318 
319 #ifdef __cplusplus
320 #define __GMP_CAST(type, expr)  (static_cast<type> (expr))
321 #else
322 #define __GMP_CAST(type, expr)  ((type) (expr))
323 #endif
324 
325 
326 /* An empty "throw ()" means the function doesn't throw any C++ exceptions,
327    this can save some stack frame info in applications.
328 
329    Currently it's given only on functions which never divide-by-zero etc,
330    don't allocate memory, and are expected to never need to allocate memory.
331    This leaves open the possibility of a C++ throw from a future GMP
332    exceptions scheme.
333 
334    mpz_set_ui etc are omitted to leave open the lazy allocation scheme
335    described in doc/tasks.html.  mpz_get_d etc are omitted to leave open
336    exceptions for float overflows.
337 
338    Note that __GMP_NOTHROW must be given on any inlines the same as on their
339    prototypes (for g++ at least, where they're used together).  Note also
340    that g++ 3.0 demands that __GMP_NOTHROW is before other attributes like
341    __GMP_ATTRIBUTE_PURE.  */
342 
343 #if defined (__cplusplus)
344 #if __cplusplus >= 201103L
345 #define __GMP_NOTHROW  noexcept
346 #else
347 #define __GMP_NOTHROW  throw ()
348 #endif
349 #else
350 #define __GMP_NOTHROW
351 #endif
352 
353 
354 /* PORTME: What other compilers have a useful "extern inline"?  "static
355    inline" would be an acceptable substitute if the compiler (or linker)
356    discards unused statics.  */
357 
358  /* gcc has __inline__ in all modes, including strict ansi.  Give a prototype
359     for an inline too, so as to correctly specify "dllimport" on windows, in
360     case the function is called rather than inlined.
361     GCC 4.3 and above with -std=c99 or -std=gnu99 implements ISO C99
362     inline semantics, unless -fgnu89-inline is used.  */
363 #ifdef __GNUC__
364 #if (defined __GNUC_STDC_INLINE__) || (__GNUC__ == 4 && __GNUC_MINOR__ == 2) \
365   || (defined __GNUC_GNU_INLINE__ && defined __cplusplus)
366 #define __GMP_EXTERN_INLINE extern __inline__ __attribute__ ((__gnu_inline__))
367 #else
368 #define __GMP_EXTERN_INLINE      extern __inline__
369 #endif
370 #define __GMP_INLINE_PROTOTYPES  1
371 #endif
372 
373 /* DEC C (eg. version 5.9) supports "static __inline foo()", even in -std1
374    strict ANSI mode.  Inlining is done even when not optimizing (ie. -O0
375    mode, which is the default), but an unnecessary local copy of foo is
376    emitted unless -O is used.  "extern __inline" is accepted, but the
377    "extern" appears to be ignored, ie. it becomes a plain global function
378    but which is inlined within its file.  Don't know if all old versions of
379    DEC C supported __inline, but as a start let's do the right thing for
380    current versions.  */
381 #ifdef __DECC
382 #define __GMP_EXTERN_INLINE  static __inline
383 #endif
384 
385 /* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict
386    ANSI mode (__STDC__ is 1 in that mode).  Inlining only actually takes
387    place under -O.  Without -O "foo" seems to be emitted whether it's used
388    or not, which is wasteful.  "extern inline foo()" isn't useful, the
389    "extern" is apparently ignored, so foo is inlined if possible but also
390    emitted as a global, which causes multiple definition errors when
391    building a shared libgmp.  */
392 #ifdef __SCO_VERSION__
393 #if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
394   && ! defined (__GMP_EXTERN_INLINE)
395 #define __GMP_EXTERN_INLINE  static inline
396 #endif
397 #endif
398 
399 /* Microsoft's C compiler accepts __inline */
400 #ifdef _MSC_VER
401 #define __GMP_EXTERN_INLINE  __inline
402 #endif
403 
404 /* Recent enough Sun C compilers want "inline" */
405 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x560 \
406   && ! defined (__GMP_EXTERN_INLINE)
407 #define __GMP_EXTERN_INLINE  inline
408 #endif
409 
410 /* Somewhat older Sun C compilers want "static inline" */
411 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x540 \
412   && ! defined (__GMP_EXTERN_INLINE)
413 #define __GMP_EXTERN_INLINE  static inline
414 #endif
415 
416 
417 /* C++ always has "inline" and since it's a normal feature the linker should
418    discard duplicate non-inlined copies, or if it doesn't then that's a
419    problem for everyone, not just GMP.  */
420 #if defined (__cplusplus) && ! defined (__GMP_EXTERN_INLINE)
421 #define __GMP_EXTERN_INLINE  inline
422 #endif
423 
424 /* Don't do any inlining within a configure run, since if the compiler ends
425    up emitting copies of the code into the object file it can end up
426    demanding the various support routines (like mpn_popcount) for linking,
427    making the "alloca" test and perhaps others fail.  And on hppa ia64 a
428    pre-release gcc 3.2 was seen not respecting the "extern" in "extern
429    __inline__", triggering this problem too.  */
430 #if defined (__GMP_WITHIN_CONFIGURE) && ! __GMP_WITHIN_CONFIGURE_INLINE
431 #undef __GMP_EXTERN_INLINE
432 #endif
433 
434 /* By default, don't give a prototype when there's going to be an inline
435    version.  Note in particular that Cray C++ objects to the combination of
436    prototype and inline.  */
437 #ifdef __GMP_EXTERN_INLINE
438 #ifndef __GMP_INLINE_PROTOTYPES
439 #define __GMP_INLINE_PROTOTYPES  0
440 #endif
441 #else
442 #define __GMP_INLINE_PROTOTYPES  1
443 #endif
444 
445 
446 #define __GMP_ABS(x)   ((x) >= 0 ? (x) : -(x))
447 #define __GMP_MAX(h,i) ((h) > (i) ? (h) : (i))
448 
449 
450 /* __builtin_expect is in gcc 3.0, and not in 2.95. */
451 #if __GMP_GNUC_PREREQ (3,0)
452 #define __GMP_LIKELY(cond)    __builtin_expect ((cond) != 0, 1)
453 #define __GMP_UNLIKELY(cond)  __builtin_expect ((cond) != 0, 0)
454 #else
455 #define __GMP_LIKELY(cond)    (cond)
456 #define __GMP_UNLIKELY(cond)  (cond)
457 #endif
458 
459 #ifdef _CRAY
460 #define __GMP_CRAY_Pragma(str)  _Pragma (str)
461 #else
462 #define __GMP_CRAY_Pragma(str)
463 #endif
464 
465 
466 /* Allow direct user access to numerator and denominator of an mpq_t object.  */
467 #define mpq_numref(Q) (&((Q)->_mp_num))
468 #define mpq_denref(Q) (&((Q)->_mp_den))
469 
470 
471 #if defined (__cplusplus)
472 extern "C" {
473 using std::FILE;
474 #endif
475 
476 #define mp_set_memory_functions __gmp_set_memory_functions
477 __GMP_DECLSPEC void mp_set_memory_functions (void *(*) (size_t),
478 				      void *(*) (void *, size_t, size_t),
479 				      void (*) (void *, size_t)) __GMP_NOTHROW;
480 
481 #define mp_get_memory_functions __gmp_get_memory_functions
482 __GMP_DECLSPEC void mp_get_memory_functions (void *(**) (size_t),
483 				      void *(**) (void *, size_t, size_t),
484 				      void (**) (void *, size_t)) __GMP_NOTHROW;
485 
486 #define mp_bits_per_limb __gmp_bits_per_limb
487 __GMP_DECLSPEC extern const int mp_bits_per_limb;
488 
489 #define gmp_errno __gmp_errno
490 __GMP_DECLSPEC extern int gmp_errno;
491 
492 #define gmp_version __gmp_version
493 __GMP_DECLSPEC extern const char * const gmp_version;
494 
495 
496 /**************** Random number routines.  ****************/
497 
498 /* obsolete */
499 #define gmp_randinit __gmp_randinit
500 __GMP_DECLSPEC void gmp_randinit (gmp_randstate_t, gmp_randalg_t, ...);
501 
502 #define gmp_randinit_default __gmp_randinit_default
503 __GMP_DECLSPEC void gmp_randinit_default (gmp_randstate_t);
504 
505 #define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
506 __GMP_DECLSPEC void gmp_randinit_lc_2exp (gmp_randstate_t, mpz_srcptr, unsigned long int, mp_bitcnt_t);
507 
508 #define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size
509 __GMP_DECLSPEC int gmp_randinit_lc_2exp_size (gmp_randstate_t, mp_bitcnt_t);
510 
511 #define gmp_randinit_mt __gmp_randinit_mt
512 __GMP_DECLSPEC void gmp_randinit_mt (gmp_randstate_t);
513 
514 #define gmp_randinit_set __gmp_randinit_set
515 __GMP_DECLSPEC void gmp_randinit_set (gmp_randstate_t, const __gmp_randstate_struct *);
516 
517 #define gmp_randseed __gmp_randseed
518 __GMP_DECLSPEC void gmp_randseed (gmp_randstate_t, mpz_srcptr);
519 
520 #define gmp_randseed_ui __gmp_randseed_ui
521 __GMP_DECLSPEC void gmp_randseed_ui (gmp_randstate_t, unsigned long int);
522 
523 #define gmp_randclear __gmp_randclear
524 __GMP_DECLSPEC void gmp_randclear (gmp_randstate_t);
525 
526 #define gmp_urandomb_ui __gmp_urandomb_ui
527 __GMP_DECLSPEC unsigned long gmp_urandomb_ui (gmp_randstate_t, unsigned long);
528 
529 #define gmp_urandomm_ui __gmp_urandomm_ui
530 __GMP_DECLSPEC unsigned long gmp_urandomm_ui (gmp_randstate_t, unsigned long);
531 
532 
533 /**************** Formatted output routines.  ****************/
534 
535 #define gmp_asprintf __gmp_asprintf
536 __GMP_DECLSPEC int gmp_asprintf (char **, const char *, ...);
537 
538 #define gmp_fprintf __gmp_fprintf
539 #ifdef _GMP_H_HAVE_FILE
540 __GMP_DECLSPEC int gmp_fprintf (FILE *, const char *, ...);
541 #endif
542 
543 #define gmp_obstack_printf __gmp_obstack_printf
544 #if defined (_GMP_H_HAVE_OBSTACK)
545 __GMP_DECLSPEC int gmp_obstack_printf (struct obstack *, const char *, ...);
546 #endif
547 
548 #define gmp_obstack_vprintf __gmp_obstack_vprintf
549 #if defined (_GMP_H_HAVE_OBSTACK) && defined (_GMP_H_HAVE_VA_LIST)
550 __GMP_DECLSPEC int gmp_obstack_vprintf (struct obstack *, const char *, va_list);
551 #endif
552 
553 #define gmp_printf __gmp_printf
554 __GMP_DECLSPEC int gmp_printf (const char *, ...);
555 
556 #define gmp_snprintf __gmp_snprintf
557 __GMP_DECLSPEC int gmp_snprintf (char *, size_t, const char *, ...);
558 
559 #define gmp_sprintf __gmp_sprintf
560 __GMP_DECLSPEC int gmp_sprintf (char *, const char *, ...);
561 
562 #define gmp_vasprintf __gmp_vasprintf
563 #if defined (_GMP_H_HAVE_VA_LIST)
564 __GMP_DECLSPEC int gmp_vasprintf (char **, const char *, va_list);
565 #endif
566 
567 #define gmp_vfprintf __gmp_vfprintf
568 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
569 __GMP_DECLSPEC int gmp_vfprintf (FILE *, const char *, va_list);
570 #endif
571 
572 #define gmp_vprintf __gmp_vprintf
573 #if defined (_GMP_H_HAVE_VA_LIST)
574 __GMP_DECLSPEC int gmp_vprintf (const char *, va_list);
575 #endif
576 
577 #define gmp_vsnprintf __gmp_vsnprintf
578 #if defined (_GMP_H_HAVE_VA_LIST)
579 __GMP_DECLSPEC int gmp_vsnprintf (char *, size_t, const char *, va_list);
580 #endif
581 
582 #define gmp_vsprintf __gmp_vsprintf
583 #if defined (_GMP_H_HAVE_VA_LIST)
584 __GMP_DECLSPEC int gmp_vsprintf (char *, const char *, va_list);
585 #endif
586 
587 
588 /**************** Formatted input routines.  ****************/
589 
590 #define gmp_fscanf __gmp_fscanf
591 #ifdef _GMP_H_HAVE_FILE
592 __GMP_DECLSPEC int gmp_fscanf (FILE *, const char *, ...);
593 #endif
594 
595 #define gmp_scanf __gmp_scanf
596 __GMP_DECLSPEC int gmp_scanf (const char *, ...);
597 
598 #define gmp_sscanf __gmp_sscanf
599 __GMP_DECLSPEC int gmp_sscanf (const char *, const char *, ...);
600 
601 #define gmp_vfscanf __gmp_vfscanf
602 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
603 __GMP_DECLSPEC int gmp_vfscanf (FILE *, const char *, va_list);
604 #endif
605 
606 #define gmp_vscanf __gmp_vscanf
607 #if defined (_GMP_H_HAVE_VA_LIST)
608 __GMP_DECLSPEC int gmp_vscanf (const char *, va_list);
609 #endif
610 
611 #define gmp_vsscanf __gmp_vsscanf
612 #if defined (_GMP_H_HAVE_VA_LIST)
613 __GMP_DECLSPEC int gmp_vsscanf (const char *, const char *, va_list);
614 #endif
615 
616 
617 /**************** Integer (i.e. Z) routines.  ****************/
618 
619 #define _mpz_realloc __gmpz_realloc
620 #define mpz_realloc __gmpz_realloc
621 __GMP_DECLSPEC void *_mpz_realloc (mpz_ptr, mp_size_t);
622 
623 #define mpz_abs __gmpz_abs
624 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs)
625 __GMP_DECLSPEC void mpz_abs (mpz_ptr, mpz_srcptr);
626 #endif
627 
628 #define mpz_add __gmpz_add
629 __GMP_DECLSPEC void mpz_add (mpz_ptr, mpz_srcptr, mpz_srcptr);
630 
631 #define mpz_add_ui __gmpz_add_ui
632 __GMP_DECLSPEC void mpz_add_ui (mpz_ptr, mpz_srcptr, unsigned long int);
633 
634 #define mpz_addmul __gmpz_addmul
635 __GMP_DECLSPEC void mpz_addmul (mpz_ptr, mpz_srcptr, mpz_srcptr);
636 
637 #define mpz_addmul_ui __gmpz_addmul_ui
638 __GMP_DECLSPEC void mpz_addmul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
639 
640 #define mpz_and __gmpz_and
641 __GMP_DECLSPEC void mpz_and (mpz_ptr, mpz_srcptr, mpz_srcptr);
642 
643 #define mpz_array_init __gmpz_array_init
644 __GMP_DECLSPEC void mpz_array_init (mpz_ptr, mp_size_t, mp_size_t);
645 
646 #define mpz_bin_ui __gmpz_bin_ui
647 __GMP_DECLSPEC void mpz_bin_ui (mpz_ptr, mpz_srcptr, unsigned long int);
648 
649 #define mpz_bin_uiui __gmpz_bin_uiui
650 __GMP_DECLSPEC void mpz_bin_uiui (mpz_ptr, unsigned long int, unsigned long int);
651 
652 #define mpz_cdiv_q __gmpz_cdiv_q
653 __GMP_DECLSPEC void mpz_cdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
654 
655 #define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
656 __GMP_DECLSPEC void mpz_cdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
657 
658 #define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
659 __GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
660 
661 #define mpz_cdiv_qr __gmpz_cdiv_qr
662 __GMP_DECLSPEC void mpz_cdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
663 
664 #define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
665 __GMP_DECLSPEC unsigned long int mpz_cdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
666 
667 #define mpz_cdiv_r __gmpz_cdiv_r
668 __GMP_DECLSPEC void mpz_cdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
669 
670 #define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
671 __GMP_DECLSPEC void mpz_cdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
672 
673 #define mpz_cdiv_r_ui __gmpz_cdiv_r_ui
674 __GMP_DECLSPEC unsigned long int mpz_cdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
675 
676 #define mpz_cdiv_ui __gmpz_cdiv_ui
677 __GMP_DECLSPEC unsigned long int mpz_cdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
678 
679 #define mpz_clear __gmpz_clear
680 __GMP_DECLSPEC void mpz_clear (mpz_ptr);
681 
682 #define mpz_clears __gmpz_clears
683 __GMP_DECLSPEC void mpz_clears (mpz_ptr, ...);
684 
685 #define mpz_clrbit __gmpz_clrbit
686 __GMP_DECLSPEC void mpz_clrbit (mpz_ptr, mp_bitcnt_t);
687 
688 #define mpz_cmp __gmpz_cmp
689 __GMP_DECLSPEC int mpz_cmp (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
690 
691 #define mpz_cmp_d __gmpz_cmp_d
692 __GMP_DECLSPEC int mpz_cmp_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
693 
694 #define _mpz_cmp_si __gmpz_cmp_si
695 __GMP_DECLSPEC int _mpz_cmp_si (mpz_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
696 
697 #define _mpz_cmp_ui __gmpz_cmp_ui
698 __GMP_DECLSPEC int _mpz_cmp_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
699 
700 #define mpz_cmpabs __gmpz_cmpabs
701 __GMP_DECLSPEC int mpz_cmpabs (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
702 
703 #define mpz_cmpabs_d __gmpz_cmpabs_d
704 __GMP_DECLSPEC int mpz_cmpabs_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
705 
706 #define mpz_cmpabs_ui __gmpz_cmpabs_ui
707 __GMP_DECLSPEC int mpz_cmpabs_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
708 
709 #define mpz_com __gmpz_com
710 __GMP_DECLSPEC void mpz_com (mpz_ptr, mpz_srcptr);
711 
712 #define mpz_combit __gmpz_combit
713 __GMP_DECLSPEC void mpz_combit (mpz_ptr, mp_bitcnt_t);
714 
715 #define mpz_congruent_p __gmpz_congruent_p
716 __GMP_DECLSPEC int mpz_congruent_p (mpz_srcptr, mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
717 
718 #define mpz_congruent_2exp_p __gmpz_congruent_2exp_p
719 __GMP_DECLSPEC int mpz_congruent_2exp_p (mpz_srcptr, mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
720 
721 #define mpz_congruent_ui_p __gmpz_congruent_ui_p
722 __GMP_DECLSPEC int mpz_congruent_ui_p (mpz_srcptr, unsigned long, unsigned long) __GMP_ATTRIBUTE_PURE;
723 
724 #define mpz_divexact __gmpz_divexact
725 __GMP_DECLSPEC void mpz_divexact (mpz_ptr, mpz_srcptr, mpz_srcptr);
726 
727 #define mpz_divexact_ui __gmpz_divexact_ui
728 __GMP_DECLSPEC void mpz_divexact_ui (mpz_ptr, mpz_srcptr, unsigned long);
729 
730 #define mpz_divisible_p __gmpz_divisible_p
731 __GMP_DECLSPEC int mpz_divisible_p (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
732 
733 #define mpz_divisible_ui_p __gmpz_divisible_ui_p
734 __GMP_DECLSPEC int mpz_divisible_ui_p (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
735 
736 #define mpz_divisible_2exp_p __gmpz_divisible_2exp_p
737 __GMP_DECLSPEC int mpz_divisible_2exp_p (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
738 
739 #define mpz_dump __gmpz_dump
740 __GMP_DECLSPEC void mpz_dump (mpz_srcptr);
741 
742 #define mpz_export __gmpz_export
743 __GMP_DECLSPEC void *mpz_export (void *, size_t *, int, size_t, int, size_t, mpz_srcptr);
744 
745 #define mpz_fac_ui __gmpz_fac_ui
746 __GMP_DECLSPEC void mpz_fac_ui (mpz_ptr, unsigned long int);
747 
748 #define mpz_2fac_ui __gmpz_2fac_ui
749 __GMP_DECLSPEC void mpz_2fac_ui (mpz_ptr, unsigned long int);
750 
751 #define mpz_mfac_uiui __gmpz_mfac_uiui
752 __GMP_DECLSPEC void mpz_mfac_uiui (mpz_ptr, unsigned long int, unsigned long int);
753 
754 #define mpz_primorial_ui __gmpz_primorial_ui
755 __GMP_DECLSPEC void mpz_primorial_ui (mpz_ptr, unsigned long int);
756 
757 #define mpz_fdiv_q __gmpz_fdiv_q
758 __GMP_DECLSPEC void mpz_fdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
759 
760 #define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
761 __GMP_DECLSPEC void mpz_fdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
762 
763 #define mpz_fdiv_q_ui __gmpz_fdiv_q_ui
764 __GMP_DECLSPEC unsigned long int mpz_fdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
765 
766 #define mpz_fdiv_qr __gmpz_fdiv_qr
767 __GMP_DECLSPEC void mpz_fdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
768 
769 #define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui
770 __GMP_DECLSPEC unsigned long int mpz_fdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
771 
772 #define mpz_fdiv_r __gmpz_fdiv_r
773 __GMP_DECLSPEC void mpz_fdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
774 
775 #define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
776 __GMP_DECLSPEC void mpz_fdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
777 
778 #define mpz_fdiv_r_ui __gmpz_fdiv_r_ui
779 __GMP_DECLSPEC unsigned long int mpz_fdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
780 
781 #define mpz_fdiv_ui __gmpz_fdiv_ui
782 __GMP_DECLSPEC unsigned long int mpz_fdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
783 
784 #define mpz_fib_ui __gmpz_fib_ui
785 __GMP_DECLSPEC void mpz_fib_ui (mpz_ptr, unsigned long int);
786 
787 #define mpz_fib2_ui __gmpz_fib2_ui
788 __GMP_DECLSPEC void mpz_fib2_ui (mpz_ptr, mpz_ptr, unsigned long int);
789 
790 #define mpz_fits_sint_p __gmpz_fits_sint_p
791 __GMP_DECLSPEC int mpz_fits_sint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
792 
793 #define mpz_fits_slong_p __gmpz_fits_slong_p
794 __GMP_DECLSPEC int mpz_fits_slong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
795 
796 #define mpz_fits_sshort_p __gmpz_fits_sshort_p
797 __GMP_DECLSPEC int mpz_fits_sshort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
798 
799 #define mpz_fits_uint_p __gmpz_fits_uint_p
800 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_uint_p)
801 __GMP_DECLSPEC int mpz_fits_uint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
802 #endif
803 
804 #define mpz_fits_ulong_p __gmpz_fits_ulong_p
805 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ulong_p)
806 __GMP_DECLSPEC int mpz_fits_ulong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
807 #endif
808 
809 #define mpz_fits_ushort_p __gmpz_fits_ushort_p
810 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ushort_p)
811 __GMP_DECLSPEC int mpz_fits_ushort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
812 #endif
813 
814 #define mpz_gcd __gmpz_gcd
815 __GMP_DECLSPEC void mpz_gcd (mpz_ptr, mpz_srcptr, mpz_srcptr);
816 
817 #define mpz_gcd_ui __gmpz_gcd_ui
818 __GMP_DECLSPEC unsigned long int mpz_gcd_ui (mpz_ptr, mpz_srcptr, unsigned long int);
819 
820 #define mpz_gcdext __gmpz_gcdext
821 __GMP_DECLSPEC void mpz_gcdext (mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
822 
823 #define mpz_get_d __gmpz_get_d
824 __GMP_DECLSPEC double mpz_get_d (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
825 
826 #define mpz_get_d_2exp __gmpz_get_d_2exp
827 __GMP_DECLSPEC double mpz_get_d_2exp (signed long int *, mpz_srcptr);
828 
829 #define mpz_get_si __gmpz_get_si
830 __GMP_DECLSPEC /* signed */ long int mpz_get_si (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
831 
832 #define mpz_get_str __gmpz_get_str
833 __GMP_DECLSPEC char *mpz_get_str (char *, int, mpz_srcptr);
834 
835 #define mpz_get_ui __gmpz_get_ui
836 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_get_ui)
837 __GMP_DECLSPEC unsigned long int mpz_get_ui (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
838 #endif
839 
840 #define mpz_getlimbn __gmpz_getlimbn
841 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_getlimbn)
842 __GMP_DECLSPEC mp_limb_t mpz_getlimbn (mpz_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
843 #endif
844 
845 #define mpz_hamdist __gmpz_hamdist
846 __GMP_DECLSPEC mp_bitcnt_t mpz_hamdist (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
847 
848 #define mpz_import __gmpz_import
849 __GMP_DECLSPEC void mpz_import (mpz_ptr, size_t, int, size_t, int, size_t, const void *);
850 
851 #define mpz_init __gmpz_init
852 __GMP_DECLSPEC void mpz_init (mpz_ptr) __GMP_NOTHROW;
853 
854 #define mpz_init2 __gmpz_init2
855 __GMP_DECLSPEC void mpz_init2 (mpz_ptr, mp_bitcnt_t);
856 
857 #define mpz_inits __gmpz_inits
858 __GMP_DECLSPEC void mpz_inits (mpz_ptr, ...) __GMP_NOTHROW;
859 
860 #define mpz_init_set __gmpz_init_set
861 __GMP_DECLSPEC void mpz_init_set (mpz_ptr, mpz_srcptr);
862 
863 #define mpz_init_set_d __gmpz_init_set_d
864 __GMP_DECLSPEC void mpz_init_set_d (mpz_ptr, double);
865 
866 #define mpz_init_set_si __gmpz_init_set_si
867 __GMP_DECLSPEC void mpz_init_set_si (mpz_ptr, signed long int);
868 
869 #define mpz_init_set_str __gmpz_init_set_str
870 __GMP_DECLSPEC int mpz_init_set_str (mpz_ptr, const char *, int);
871 
872 #define mpz_init_set_ui __gmpz_init_set_ui
873 __GMP_DECLSPEC void mpz_init_set_ui (mpz_ptr, unsigned long int);
874 
875 #define mpz_inp_raw __gmpz_inp_raw
876 #ifdef _GMP_H_HAVE_FILE
877 __GMP_DECLSPEC size_t mpz_inp_raw (mpz_ptr, FILE *);
878 #endif
879 
880 #define mpz_inp_str __gmpz_inp_str
881 #ifdef _GMP_H_HAVE_FILE
882 __GMP_DECLSPEC size_t mpz_inp_str (mpz_ptr, FILE *, int);
883 #endif
884 
885 #define mpz_invert __gmpz_invert
886 __GMP_DECLSPEC int mpz_invert (mpz_ptr, mpz_srcptr, mpz_srcptr);
887 
888 #define mpz_ior __gmpz_ior
889 __GMP_DECLSPEC void mpz_ior (mpz_ptr, mpz_srcptr, mpz_srcptr);
890 
891 #define mpz_jacobi __gmpz_jacobi
892 __GMP_DECLSPEC int mpz_jacobi (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
893 
894 #define mpz_kronecker mpz_jacobi  /* alias */
895 
896 #define mpz_kronecker_si __gmpz_kronecker_si
897 __GMP_DECLSPEC int mpz_kronecker_si (mpz_srcptr, long) __GMP_ATTRIBUTE_PURE;
898 
899 #define mpz_kronecker_ui __gmpz_kronecker_ui
900 __GMP_DECLSPEC int mpz_kronecker_ui (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
901 
902 #define mpz_si_kronecker __gmpz_si_kronecker
903 __GMP_DECLSPEC int mpz_si_kronecker (long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
904 
905 #define mpz_ui_kronecker __gmpz_ui_kronecker
906 __GMP_DECLSPEC int mpz_ui_kronecker (unsigned long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
907 
908 #define mpz_lcm __gmpz_lcm
909 __GMP_DECLSPEC void mpz_lcm (mpz_ptr, mpz_srcptr, mpz_srcptr);
910 
911 #define mpz_lcm_ui __gmpz_lcm_ui
912 __GMP_DECLSPEC void mpz_lcm_ui (mpz_ptr, mpz_srcptr, unsigned long);
913 
914 #define mpz_legendre mpz_jacobi  /* alias */
915 
916 #define mpz_lucnum_ui __gmpz_lucnum_ui
917 __GMP_DECLSPEC void mpz_lucnum_ui (mpz_ptr, unsigned long int);
918 
919 #define mpz_lucnum2_ui __gmpz_lucnum2_ui
920 __GMP_DECLSPEC void mpz_lucnum2_ui (mpz_ptr, mpz_ptr, unsigned long int);
921 
922 #define mpz_millerrabin __gmpz_millerrabin
923 __GMP_DECLSPEC int mpz_millerrabin (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
924 
925 #define mpz_mod __gmpz_mod
926 __GMP_DECLSPEC void mpz_mod (mpz_ptr, mpz_srcptr, mpz_srcptr);
927 
928 #define mpz_mod_ui mpz_fdiv_r_ui /* same as fdiv_r because divisor unsigned */
929 
930 #define mpz_mul __gmpz_mul
931 __GMP_DECLSPEC void mpz_mul (mpz_ptr, mpz_srcptr, mpz_srcptr);
932 
933 #define mpz_mul_2exp __gmpz_mul_2exp
934 __GMP_DECLSPEC void mpz_mul_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
935 
936 #define mpz_mul_si __gmpz_mul_si
937 __GMP_DECLSPEC void mpz_mul_si (mpz_ptr, mpz_srcptr, long int);
938 
939 #define mpz_mul_ui __gmpz_mul_ui
940 __GMP_DECLSPEC void mpz_mul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
941 
942 #define mpz_neg __gmpz_neg
943 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_neg)
944 __GMP_DECLSPEC void mpz_neg (mpz_ptr, mpz_srcptr);
945 #endif
946 
947 #define mpz_nextprime __gmpz_nextprime
948 __GMP_DECLSPEC void mpz_nextprime (mpz_ptr, mpz_srcptr);
949 
950 #define mpz_out_raw __gmpz_out_raw
951 #ifdef _GMP_H_HAVE_FILE
952 __GMP_DECLSPEC size_t mpz_out_raw (FILE *, mpz_srcptr);
953 #endif
954 
955 #define mpz_out_str __gmpz_out_str
956 #ifdef _GMP_H_HAVE_FILE
957 __GMP_DECLSPEC size_t mpz_out_str (FILE *, int, mpz_srcptr);
958 #endif
959 
960 #define mpz_perfect_power_p __gmpz_perfect_power_p
961 __GMP_DECLSPEC int mpz_perfect_power_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
962 
963 #define mpz_perfect_square_p __gmpz_perfect_square_p
964 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_perfect_square_p)
965 __GMP_DECLSPEC int mpz_perfect_square_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
966 #endif
967 
968 #define mpz_popcount __gmpz_popcount
969 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_popcount)
970 __GMP_DECLSPEC mp_bitcnt_t mpz_popcount (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
971 #endif
972 
973 #define mpz_pow_ui __gmpz_pow_ui
974 __GMP_DECLSPEC void mpz_pow_ui (mpz_ptr, mpz_srcptr, unsigned long int);
975 
976 #define mpz_powm __gmpz_powm
977 __GMP_DECLSPEC void mpz_powm (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
978 
979 #define mpz_powm_sec __gmpz_powm_sec
980 __GMP_DECLSPEC void mpz_powm_sec (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
981 
982 #define mpz_powm_ui __gmpz_powm_ui
983 __GMP_DECLSPEC void mpz_powm_ui (mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr);
984 
985 #define mpz_probab_prime_p __gmpz_probab_prime_p
986 __GMP_DECLSPEC int mpz_probab_prime_p (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
987 
988 #define mpz_random __gmpz_random
989 __GMP_DECLSPEC void mpz_random (mpz_ptr, mp_size_t);
990 
991 #define mpz_random2 __gmpz_random2
992 __GMP_DECLSPEC void mpz_random2 (mpz_ptr, mp_size_t);
993 
994 #define mpz_realloc2 __gmpz_realloc2
995 __GMP_DECLSPEC void mpz_realloc2 (mpz_ptr, mp_bitcnt_t);
996 
997 #define mpz_remove __gmpz_remove
998 __GMP_DECLSPEC mp_bitcnt_t mpz_remove (mpz_ptr, mpz_srcptr, mpz_srcptr);
999 
1000 #define mpz_root __gmpz_root
1001 __GMP_DECLSPEC int mpz_root (mpz_ptr, mpz_srcptr, unsigned long int);
1002 
1003 #define mpz_rootrem __gmpz_rootrem
1004 __GMP_DECLSPEC void mpz_rootrem (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
1005 
1006 #define mpz_rrandomb __gmpz_rrandomb
1007 __GMP_DECLSPEC void mpz_rrandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
1008 
1009 #define mpz_scan0 __gmpz_scan0
1010 __GMP_DECLSPEC mp_bitcnt_t mpz_scan0 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1011 
1012 #define mpz_scan1 __gmpz_scan1
1013 __GMP_DECLSPEC mp_bitcnt_t mpz_scan1 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1014 
1015 #define mpz_set __gmpz_set
1016 __GMP_DECLSPEC void mpz_set (mpz_ptr, mpz_srcptr);
1017 
1018 #define mpz_set_d __gmpz_set_d
1019 __GMP_DECLSPEC void mpz_set_d (mpz_ptr, double);
1020 
1021 #define mpz_set_f __gmpz_set_f
1022 __GMP_DECLSPEC void mpz_set_f (mpz_ptr, mpf_srcptr);
1023 
1024 #define mpz_set_q __gmpz_set_q
1025 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_set_q)
1026 __GMP_DECLSPEC void mpz_set_q (mpz_ptr, mpq_srcptr);
1027 #endif
1028 
1029 #define mpz_set_si __gmpz_set_si
1030 __GMP_DECLSPEC void mpz_set_si (mpz_ptr, signed long int);
1031 
1032 #define mpz_set_str __gmpz_set_str
1033 __GMP_DECLSPEC int mpz_set_str (mpz_ptr, const char *, int);
1034 
1035 #define mpz_set_ui __gmpz_set_ui
1036 __GMP_DECLSPEC void mpz_set_ui (mpz_ptr, unsigned long int);
1037 
1038 #define mpz_setbit __gmpz_setbit
1039 __GMP_DECLSPEC void mpz_setbit (mpz_ptr, mp_bitcnt_t);
1040 
1041 #define mpz_size __gmpz_size
1042 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_size)
1043 __GMP_DECLSPEC size_t mpz_size (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1044 #endif
1045 
1046 #define mpz_sizeinbase __gmpz_sizeinbase
1047 __GMP_DECLSPEC size_t mpz_sizeinbase (mpz_srcptr, int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1048 
1049 #define mpz_sqrt __gmpz_sqrt
1050 __GMP_DECLSPEC void mpz_sqrt (mpz_ptr, mpz_srcptr);
1051 
1052 #define mpz_sqrtrem __gmpz_sqrtrem
1053 __GMP_DECLSPEC void mpz_sqrtrem (mpz_ptr, mpz_ptr, mpz_srcptr);
1054 
1055 #define mpz_sub __gmpz_sub
1056 __GMP_DECLSPEC void mpz_sub (mpz_ptr, mpz_srcptr, mpz_srcptr);
1057 
1058 #define mpz_sub_ui __gmpz_sub_ui
1059 __GMP_DECLSPEC void mpz_sub_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1060 
1061 #define mpz_ui_sub __gmpz_ui_sub
1062 __GMP_DECLSPEC void mpz_ui_sub (mpz_ptr, unsigned long int, mpz_srcptr);
1063 
1064 #define mpz_submul __gmpz_submul
1065 __GMP_DECLSPEC void mpz_submul (mpz_ptr, mpz_srcptr, mpz_srcptr);
1066 
1067 #define mpz_submul_ui __gmpz_submul_ui
1068 __GMP_DECLSPEC void mpz_submul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1069 
1070 #define mpz_swap __gmpz_swap
1071 __GMP_DECLSPEC void mpz_swap (mpz_ptr, mpz_ptr) __GMP_NOTHROW;
1072 
1073 #define mpz_tdiv_ui __gmpz_tdiv_ui
1074 __GMP_DECLSPEC unsigned long int mpz_tdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
1075 
1076 #define mpz_tdiv_q __gmpz_tdiv_q
1077 __GMP_DECLSPEC void mpz_tdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
1078 
1079 #define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp
1080 __GMP_DECLSPEC void mpz_tdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
1081 
1082 #define mpz_tdiv_q_ui __gmpz_tdiv_q_ui
1083 __GMP_DECLSPEC unsigned long int mpz_tdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1084 
1085 #define mpz_tdiv_qr __gmpz_tdiv_qr
1086 __GMP_DECLSPEC void mpz_tdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
1087 
1088 #define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui
1089 __GMP_DECLSPEC unsigned long int mpz_tdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
1090 
1091 #define mpz_tdiv_r __gmpz_tdiv_r
1092 __GMP_DECLSPEC void mpz_tdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
1093 
1094 #define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp
1095 __GMP_DECLSPEC void mpz_tdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
1096 
1097 #define mpz_tdiv_r_ui __gmpz_tdiv_r_ui
1098 __GMP_DECLSPEC unsigned long int mpz_tdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1099 
1100 #define mpz_tstbit __gmpz_tstbit
1101 __GMP_DECLSPEC int mpz_tstbit (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1102 
1103 #define mpz_ui_pow_ui __gmpz_ui_pow_ui
1104 __GMP_DECLSPEC void mpz_ui_pow_ui (mpz_ptr, unsigned long int, unsigned long int);
1105 
1106 #define mpz_urandomb __gmpz_urandomb
1107 __GMP_DECLSPEC void mpz_urandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
1108 
1109 #define mpz_urandomm __gmpz_urandomm
1110 __GMP_DECLSPEC void mpz_urandomm (mpz_ptr, gmp_randstate_t, mpz_srcptr);
1111 
1112 #define mpz_xor __gmpz_xor
1113 #define mpz_eor __gmpz_xor
1114 __GMP_DECLSPEC void mpz_xor (mpz_ptr, mpz_srcptr, mpz_srcptr);
1115 
1116 #define mpz_limbs_read __gmpz_limbs_read
1117 __GMP_DECLSPEC mp_srcptr mpz_limbs_read (mpz_srcptr);
1118 
1119 #define mpz_limbs_write __gmpz_limbs_write
1120 __GMP_DECLSPEC mp_ptr mpz_limbs_write (mpz_ptr, mp_size_t);
1121 
1122 #define mpz_limbs_modify __gmpz_limbs_modify
1123 __GMP_DECLSPEC mp_ptr mpz_limbs_modify (mpz_ptr, mp_size_t);
1124 
1125 #define mpz_limbs_finish __gmpz_limbs_finish
1126 __GMP_DECLSPEC void mpz_limbs_finish (mpz_ptr, mp_size_t);
1127 
1128 #define mpz_roinit_n __gmpz_roinit_n
1129 __GMP_DECLSPEC mpz_srcptr mpz_roinit_n (mpz_ptr, mp_srcptr, mp_size_t);
1130 
1131 #define MPZ_ROINIT_N(xp, xs) {{0, (xs),(xp) }}
1132 
1133 /**************** Rational (i.e. Q) routines.  ****************/
1134 
1135 #define mpq_abs __gmpq_abs
1136 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_abs)
1137 __GMP_DECLSPEC void mpq_abs (mpq_ptr, mpq_srcptr);
1138 #endif
1139 
1140 #define mpq_add __gmpq_add
1141 __GMP_DECLSPEC void mpq_add (mpq_ptr, mpq_srcptr, mpq_srcptr);
1142 
1143 #define mpq_canonicalize __gmpq_canonicalize
1144 __GMP_DECLSPEC void mpq_canonicalize (mpq_ptr);
1145 
1146 #define mpq_clear __gmpq_clear
1147 __GMP_DECLSPEC void mpq_clear (mpq_ptr);
1148 
1149 #define mpq_clears __gmpq_clears
1150 __GMP_DECLSPEC void mpq_clears (mpq_ptr, ...);
1151 
1152 #define mpq_cmp __gmpq_cmp
1153 __GMP_DECLSPEC int mpq_cmp (mpq_srcptr, mpq_srcptr) __GMP_ATTRIBUTE_PURE;
1154 
1155 #define _mpq_cmp_si __gmpq_cmp_si
1156 __GMP_DECLSPEC int _mpq_cmp_si (mpq_srcptr, long, unsigned long) __GMP_ATTRIBUTE_PURE;
1157 
1158 #define _mpq_cmp_ui __gmpq_cmp_ui
1159 __GMP_DECLSPEC int _mpq_cmp_ui (mpq_srcptr, unsigned long int, unsigned long int) __GMP_ATTRIBUTE_PURE;
1160 
1161 #define mpq_cmp_z __gmpq_cmp_z
1162 __GMP_DECLSPEC int mpq_cmp_z (mpq_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
1163 
1164 #define mpq_div __gmpq_div
1165 __GMP_DECLSPEC void mpq_div (mpq_ptr, mpq_srcptr, mpq_srcptr);
1166 
1167 #define mpq_div_2exp __gmpq_div_2exp
1168 __GMP_DECLSPEC void mpq_div_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
1169 
1170 #define mpq_equal __gmpq_equal
1171 __GMP_DECLSPEC int mpq_equal (mpq_srcptr, mpq_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1172 
1173 #define mpq_get_num __gmpq_get_num
1174 __GMP_DECLSPEC void mpq_get_num (mpz_ptr, mpq_srcptr);
1175 
1176 #define mpq_get_den __gmpq_get_den
1177 __GMP_DECLSPEC void mpq_get_den (mpz_ptr, mpq_srcptr);
1178 
1179 #define mpq_get_d __gmpq_get_d
1180 __GMP_DECLSPEC double mpq_get_d (mpq_srcptr) __GMP_ATTRIBUTE_PURE;
1181 
1182 #define mpq_get_str __gmpq_get_str
1183 __GMP_DECLSPEC char *mpq_get_str (char *, int, mpq_srcptr);
1184 
1185 #define mpq_init __gmpq_init
1186 __GMP_DECLSPEC void mpq_init (mpq_ptr);
1187 
1188 #define mpq_inits __gmpq_inits
1189 __GMP_DECLSPEC void mpq_inits (mpq_ptr, ...);
1190 
1191 #define mpq_inp_str __gmpq_inp_str
1192 #ifdef _GMP_H_HAVE_FILE
1193 __GMP_DECLSPEC size_t mpq_inp_str (mpq_ptr, FILE *, int);
1194 #endif
1195 
1196 #define mpq_inv __gmpq_inv
1197 __GMP_DECLSPEC void mpq_inv (mpq_ptr, mpq_srcptr);
1198 
1199 #define mpq_mul __gmpq_mul
1200 __GMP_DECLSPEC void mpq_mul (mpq_ptr, mpq_srcptr, mpq_srcptr);
1201 
1202 #define mpq_mul_2exp __gmpq_mul_2exp
1203 __GMP_DECLSPEC void mpq_mul_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
1204 
1205 #define mpq_neg __gmpq_neg
1206 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_neg)
1207 __GMP_DECLSPEC void mpq_neg (mpq_ptr, mpq_srcptr);
1208 #endif
1209 
1210 #define mpq_out_str __gmpq_out_str
1211 #ifdef _GMP_H_HAVE_FILE
1212 __GMP_DECLSPEC size_t mpq_out_str (FILE *, int, mpq_srcptr);
1213 #endif
1214 
1215 #define mpq_set __gmpq_set
1216 __GMP_DECLSPEC void mpq_set (mpq_ptr, mpq_srcptr);
1217 
1218 #define mpq_set_d __gmpq_set_d
1219 __GMP_DECLSPEC void mpq_set_d (mpq_ptr, double);
1220 
1221 #define mpq_set_den __gmpq_set_den
1222 __GMP_DECLSPEC void mpq_set_den (mpq_ptr, mpz_srcptr);
1223 
1224 #define mpq_set_f __gmpq_set_f
1225 __GMP_DECLSPEC void mpq_set_f (mpq_ptr, mpf_srcptr);
1226 
1227 #define mpq_set_num __gmpq_set_num
1228 __GMP_DECLSPEC void mpq_set_num (mpq_ptr, mpz_srcptr);
1229 
1230 #define mpq_set_si __gmpq_set_si
1231 __GMP_DECLSPEC void mpq_set_si (mpq_ptr, signed long int, unsigned long int);
1232 
1233 #define mpq_set_str __gmpq_set_str
1234 __GMP_DECLSPEC int mpq_set_str (mpq_ptr, const char *, int);
1235 
1236 #define mpq_set_ui __gmpq_set_ui
1237 __GMP_DECLSPEC void mpq_set_ui (mpq_ptr, unsigned long int, unsigned long int);
1238 
1239 #define mpq_set_z __gmpq_set_z
1240 __GMP_DECLSPEC void mpq_set_z (mpq_ptr, mpz_srcptr);
1241 
1242 #define mpq_sub __gmpq_sub
1243 __GMP_DECLSPEC void mpq_sub (mpq_ptr, mpq_srcptr, mpq_srcptr);
1244 
1245 #define mpq_swap __gmpq_swap
1246 __GMP_DECLSPEC void mpq_swap (mpq_ptr, mpq_ptr) __GMP_NOTHROW;
1247 
1248 
1249 /**************** Float (i.e. F) routines.  ****************/
1250 
1251 #define mpf_abs __gmpf_abs
1252 __GMP_DECLSPEC void mpf_abs (mpf_ptr, mpf_srcptr);
1253 
1254 #define mpf_add __gmpf_add
1255 __GMP_DECLSPEC void mpf_add (mpf_ptr, mpf_srcptr, mpf_srcptr);
1256 
1257 #define mpf_add_ui __gmpf_add_ui
1258 __GMP_DECLSPEC void mpf_add_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1259 #define mpf_ceil __gmpf_ceil
1260 __GMP_DECLSPEC void mpf_ceil (mpf_ptr, mpf_srcptr);
1261 
1262 #define mpf_clear __gmpf_clear
1263 __GMP_DECLSPEC void mpf_clear (mpf_ptr);
1264 
1265 #define mpf_clears __gmpf_clears
1266 __GMP_DECLSPEC void mpf_clears (mpf_ptr, ...);
1267 
1268 #define mpf_cmp __gmpf_cmp
1269 __GMP_DECLSPEC int mpf_cmp (mpf_srcptr, mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1270 
1271 #define mpf_cmp_z __gmpf_cmp_z
1272 __GMP_DECLSPEC int mpf_cmp_z (mpf_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1273 
1274 #define mpf_cmp_d __gmpf_cmp_d
1275 __GMP_DECLSPEC int mpf_cmp_d (mpf_srcptr, double) __GMP_ATTRIBUTE_PURE;
1276 
1277 #define mpf_cmp_si __gmpf_cmp_si
1278 __GMP_DECLSPEC int mpf_cmp_si (mpf_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1279 
1280 #define mpf_cmp_ui __gmpf_cmp_ui
1281 __GMP_DECLSPEC int mpf_cmp_ui (mpf_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1282 
1283 #define mpf_div __gmpf_div
1284 __GMP_DECLSPEC void mpf_div (mpf_ptr, mpf_srcptr, mpf_srcptr);
1285 
1286 #define mpf_div_2exp __gmpf_div_2exp
1287 __GMP_DECLSPEC void mpf_div_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
1288 
1289 #define mpf_div_ui __gmpf_div_ui
1290 __GMP_DECLSPEC void mpf_div_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1291 
1292 #define mpf_dump __gmpf_dump
1293 __GMP_DECLSPEC void mpf_dump (mpf_srcptr);
1294 
1295 #define mpf_eq __gmpf_eq
1296 __GMP_DECLSPEC int mpf_eq (mpf_srcptr, mpf_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
1297 
1298 #define mpf_fits_sint_p __gmpf_fits_sint_p
1299 __GMP_DECLSPEC int mpf_fits_sint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1300 
1301 #define mpf_fits_slong_p __gmpf_fits_slong_p
1302 __GMP_DECLSPEC int mpf_fits_slong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1303 
1304 #define mpf_fits_sshort_p __gmpf_fits_sshort_p
1305 __GMP_DECLSPEC int mpf_fits_sshort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1306 
1307 #define mpf_fits_uint_p __gmpf_fits_uint_p
1308 __GMP_DECLSPEC int mpf_fits_uint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1309 
1310 #define mpf_fits_ulong_p __gmpf_fits_ulong_p
1311 __GMP_DECLSPEC int mpf_fits_ulong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1312 
1313 #define mpf_fits_ushort_p __gmpf_fits_ushort_p
1314 __GMP_DECLSPEC int mpf_fits_ushort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1315 
1316 #define mpf_floor __gmpf_floor
1317 __GMP_DECLSPEC void mpf_floor (mpf_ptr, mpf_srcptr);
1318 
1319 #define mpf_get_d __gmpf_get_d
1320 __GMP_DECLSPEC double mpf_get_d (mpf_srcptr) __GMP_ATTRIBUTE_PURE;
1321 
1322 #define mpf_get_d_2exp __gmpf_get_d_2exp
1323 __GMP_DECLSPEC double mpf_get_d_2exp (signed long int *, mpf_srcptr);
1324 
1325 #define mpf_get_default_prec __gmpf_get_default_prec
1326 __GMP_DECLSPEC mp_bitcnt_t mpf_get_default_prec (void) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1327 
1328 #define mpf_get_prec __gmpf_get_prec
1329 __GMP_DECLSPEC mp_bitcnt_t mpf_get_prec (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1330 
1331 #define mpf_get_si __gmpf_get_si
1332 __GMP_DECLSPEC long mpf_get_si (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1333 
1334 #define mpf_get_str __gmpf_get_str
1335 __GMP_DECLSPEC char *mpf_get_str (char *, mp_exp_t *, int, size_t, mpf_srcptr);
1336 
1337 #define mpf_get_ui __gmpf_get_ui
1338 __GMP_DECLSPEC unsigned long mpf_get_ui (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1339 
1340 #define mpf_init __gmpf_init
1341 __GMP_DECLSPEC void mpf_init (mpf_ptr);
1342 
1343 #define mpf_init2 __gmpf_init2
1344 __GMP_DECLSPEC void mpf_init2 (mpf_ptr, mp_bitcnt_t);
1345 
1346 #define mpf_inits __gmpf_inits
1347 __GMP_DECLSPEC void mpf_inits (mpf_ptr, ...);
1348 
1349 #define mpf_init_set __gmpf_init_set
1350 __GMP_DECLSPEC void mpf_init_set (mpf_ptr, mpf_srcptr);
1351 
1352 #define mpf_init_set_d __gmpf_init_set_d
1353 __GMP_DECLSPEC void mpf_init_set_d (mpf_ptr, double);
1354 
1355 #define mpf_init_set_si __gmpf_init_set_si
1356 __GMP_DECLSPEC void mpf_init_set_si (mpf_ptr, signed long int);
1357 
1358 #define mpf_init_set_str __gmpf_init_set_str
1359 __GMP_DECLSPEC int mpf_init_set_str (mpf_ptr, const char *, int);
1360 
1361 #define mpf_init_set_ui __gmpf_init_set_ui
1362 __GMP_DECLSPEC void mpf_init_set_ui (mpf_ptr, unsigned long int);
1363 
1364 #define mpf_inp_str __gmpf_inp_str
1365 #ifdef _GMP_H_HAVE_FILE
1366 __GMP_DECLSPEC size_t mpf_inp_str (mpf_ptr, FILE *, int);
1367 #endif
1368 
1369 #define mpf_integer_p __gmpf_integer_p
1370 __GMP_DECLSPEC int mpf_integer_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1371 
1372 #define mpf_mul __gmpf_mul
1373 __GMP_DECLSPEC void mpf_mul (mpf_ptr, mpf_srcptr, mpf_srcptr);
1374 
1375 #define mpf_mul_2exp __gmpf_mul_2exp
1376 __GMP_DECLSPEC void mpf_mul_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
1377 
1378 #define mpf_mul_ui __gmpf_mul_ui
1379 __GMP_DECLSPEC void mpf_mul_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1380 
1381 #define mpf_neg __gmpf_neg
1382 __GMP_DECLSPEC void mpf_neg (mpf_ptr, mpf_srcptr);
1383 
1384 #define mpf_out_str __gmpf_out_str
1385 #ifdef _GMP_H_HAVE_FILE
1386 __GMP_DECLSPEC size_t mpf_out_str (FILE *, int, size_t, mpf_srcptr);
1387 #endif
1388 
1389 #define mpf_pow_ui __gmpf_pow_ui
1390 __GMP_DECLSPEC void mpf_pow_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1391 
1392 #define mpf_random2 __gmpf_random2
1393 __GMP_DECLSPEC void mpf_random2 (mpf_ptr, mp_size_t, mp_exp_t);
1394 
1395 #define mpf_reldiff __gmpf_reldiff
1396 __GMP_DECLSPEC void mpf_reldiff (mpf_ptr, mpf_srcptr, mpf_srcptr);
1397 
1398 #define mpf_set __gmpf_set
1399 __GMP_DECLSPEC void mpf_set (mpf_ptr, mpf_srcptr);
1400 
1401 #define mpf_set_d __gmpf_set_d
1402 __GMP_DECLSPEC void mpf_set_d (mpf_ptr, double);
1403 
1404 #define mpf_set_default_prec __gmpf_set_default_prec
1405 __GMP_DECLSPEC void mpf_set_default_prec (mp_bitcnt_t) __GMP_NOTHROW;
1406 
1407 #define mpf_set_prec __gmpf_set_prec
1408 __GMP_DECLSPEC void mpf_set_prec (mpf_ptr, mp_bitcnt_t);
1409 
1410 #define mpf_set_prec_raw __gmpf_set_prec_raw
1411 __GMP_DECLSPEC void mpf_set_prec_raw (mpf_ptr, mp_bitcnt_t) __GMP_NOTHROW;
1412 
1413 #define mpf_set_q __gmpf_set_q
1414 __GMP_DECLSPEC void mpf_set_q (mpf_ptr, mpq_srcptr);
1415 
1416 #define mpf_set_si __gmpf_set_si
1417 __GMP_DECLSPEC void mpf_set_si (mpf_ptr, signed long int);
1418 
1419 #define mpf_set_str __gmpf_set_str
1420 __GMP_DECLSPEC int mpf_set_str (mpf_ptr, const char *, int);
1421 
1422 #define mpf_set_ui __gmpf_set_ui
1423 __GMP_DECLSPEC void mpf_set_ui (mpf_ptr, unsigned long int);
1424 
1425 #define mpf_set_z __gmpf_set_z
1426 __GMP_DECLSPEC void mpf_set_z (mpf_ptr, mpz_srcptr);
1427 
1428 #define mpf_size __gmpf_size
1429 __GMP_DECLSPEC size_t mpf_size (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1430 
1431 #define mpf_sqrt __gmpf_sqrt
1432 __GMP_DECLSPEC void mpf_sqrt (mpf_ptr, mpf_srcptr);
1433 
1434 #define mpf_sqrt_ui __gmpf_sqrt_ui
1435 __GMP_DECLSPEC void mpf_sqrt_ui (mpf_ptr, unsigned long int);
1436 
1437 #define mpf_sub __gmpf_sub
1438 __GMP_DECLSPEC void mpf_sub (mpf_ptr, mpf_srcptr, mpf_srcptr);
1439 
1440 #define mpf_sub_ui __gmpf_sub_ui
1441 __GMP_DECLSPEC void mpf_sub_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1442 
1443 #define mpf_swap __gmpf_swap
1444 __GMP_DECLSPEC void mpf_swap (mpf_ptr, mpf_ptr) __GMP_NOTHROW;
1445 
1446 #define mpf_trunc __gmpf_trunc
1447 __GMP_DECLSPEC void mpf_trunc (mpf_ptr, mpf_srcptr);
1448 
1449 #define mpf_ui_div __gmpf_ui_div
1450 __GMP_DECLSPEC void mpf_ui_div (mpf_ptr, unsigned long int, mpf_srcptr);
1451 
1452 #define mpf_ui_sub __gmpf_ui_sub
1453 __GMP_DECLSPEC void mpf_ui_sub (mpf_ptr, unsigned long int, mpf_srcptr);
1454 
1455 #define mpf_urandomb __gmpf_urandomb
1456 __GMP_DECLSPEC void mpf_urandomb (mpf_t, gmp_randstate_t, mp_bitcnt_t);
1457 
1458 
1459 /************ Low level positive-integer (i.e. N) routines.  ************/
1460 
1461 /* This is ugly, but we need to make user calls reach the prefixed function. */
1462 
1463 #define mpn_add __MPN(add)
1464 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add)
1465 __GMP_DECLSPEC mp_limb_t mpn_add (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1466 #endif
1467 
1468 #define mpn_add_1 __MPN(add_1)
1469 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add_1)
1470 __GMP_DECLSPEC mp_limb_t mpn_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
1471 #endif
1472 
1473 #define mpn_add_n __MPN(add_n)
1474 __GMP_DECLSPEC mp_limb_t mpn_add_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1475 
1476 #define mpn_addmul_1 __MPN(addmul_1)
1477 __GMP_DECLSPEC mp_limb_t mpn_addmul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1478 
1479 #define mpn_cmp __MPN(cmp)
1480 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_cmp)
1481 __GMP_DECLSPEC int mpn_cmp (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1482 #endif
1483 
1484 #define mpn_zero_p __MPN(zero_p)
1485 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_zero_p)
1486 __GMP_DECLSPEC int mpn_zero_p (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1487 #endif
1488 
1489 #define mpn_divexact_1 __MPN(divexact_1)
1490 __GMP_DECLSPEC void mpn_divexact_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1491 
1492 #define mpn_divexact_by3(dst,src,size) \
1493   mpn_divexact_by3c (dst, src, size, __GMP_CAST (mp_limb_t, 0))
1494 
1495 #define mpn_divexact_by3c __MPN(divexact_by3c)
1496 __GMP_DECLSPEC mp_limb_t mpn_divexact_by3c (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1497 
1498 #define mpn_divmod_1(qp,np,nsize,dlimb) \
1499   mpn_divrem_1 (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dlimb)
1500 
1501 #define mpn_divrem __MPN(divrem)
1502 __GMP_DECLSPEC mp_limb_t mpn_divrem (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t);
1503 
1504 #define mpn_divrem_1 __MPN(divrem_1)
1505 __GMP_DECLSPEC mp_limb_t mpn_divrem_1 (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t);
1506 
1507 #define mpn_divrem_2 __MPN(divrem_2)
1508 __GMP_DECLSPEC mp_limb_t mpn_divrem_2 (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr);
1509 
1510 #define mpn_div_qr_1 __MPN(div_qr_1)
1511 __GMP_DECLSPEC mp_limb_t mpn_div_qr_1 (mp_ptr, mp_limb_t *, mp_srcptr, mp_size_t, mp_limb_t);
1512 
1513 #define mpn_div_qr_2 __MPN(div_qr_2)
1514 __GMP_DECLSPEC mp_limb_t mpn_div_qr_2 (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
1515 
1516 #define mpn_gcd __MPN(gcd)
1517 __GMP_DECLSPEC mp_size_t mpn_gcd (mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
1518 
1519 #define mpn_gcd_11 __MPN(gcd_11)
1520 __GMP_DECLSPEC mp_limb_t mpn_gcd_11 (mp_limb_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1521 
1522 #define mpn_gcd_1 __MPN(gcd_1)
1523 __GMP_DECLSPEC mp_limb_t mpn_gcd_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1524 
1525 #define mpn_gcdext_1 __MPN(gcdext_1)
1526 __GMP_DECLSPEC mp_limb_t mpn_gcdext_1 (mp_limb_signed_t *, mp_limb_signed_t *, mp_limb_t, mp_limb_t);
1527 
1528 #define mpn_gcdext __MPN(gcdext)
1529 __GMP_DECLSPEC mp_size_t mpn_gcdext (mp_ptr, mp_ptr, mp_size_t *, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
1530 
1531 #define mpn_get_str __MPN(get_str)
1532 __GMP_DECLSPEC size_t mpn_get_str (unsigned char *, int, mp_ptr, mp_size_t);
1533 
1534 #define mpn_hamdist __MPN(hamdist)
1535 __GMP_DECLSPEC mp_bitcnt_t mpn_hamdist (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1536 
1537 #define mpn_lshift __MPN(lshift)
1538 __GMP_DECLSPEC mp_limb_t mpn_lshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
1539 
1540 #define mpn_mod_1 __MPN(mod_1)
1541 __GMP_DECLSPEC mp_limb_t mpn_mod_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1542 
1543 #define mpn_mul __MPN(mul)
1544 __GMP_DECLSPEC mp_limb_t mpn_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1545 
1546 #define mpn_mul_1 __MPN(mul_1)
1547 __GMP_DECLSPEC mp_limb_t mpn_mul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1548 
1549 #define mpn_mul_n __MPN(mul_n)
1550 __GMP_DECLSPEC void mpn_mul_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1551 
1552 #define mpn_sqr __MPN(sqr)
1553 __GMP_DECLSPEC void mpn_sqr (mp_ptr, mp_srcptr, mp_size_t);
1554 
1555 #define mpn_neg __MPN(neg)
1556 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_neg)
1557 __GMP_DECLSPEC mp_limb_t mpn_neg (mp_ptr, mp_srcptr, mp_size_t);
1558 #endif
1559 
1560 #define mpn_com __MPN(com)
1561 __GMP_DECLSPEC void mpn_com (mp_ptr, mp_srcptr, mp_size_t);
1562 
1563 #define mpn_perfect_square_p __MPN(perfect_square_p)
1564 __GMP_DECLSPEC int mpn_perfect_square_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
1565 
1566 #define mpn_perfect_power_p __MPN(perfect_power_p)
1567 __GMP_DECLSPEC int mpn_perfect_power_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
1568 
1569 #define mpn_popcount __MPN(popcount)
1570 __GMP_DECLSPEC mp_bitcnt_t mpn_popcount (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1571 
1572 #define mpn_pow_1 __MPN(pow_1)
1573 __GMP_DECLSPEC mp_size_t mpn_pow_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
1574 
1575 /* undocumented now, but retained here for upward compatibility */
1576 #define mpn_preinv_mod_1 __MPN(preinv_mod_1)
1577 __GMP_DECLSPEC mp_limb_t mpn_preinv_mod_1 (mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1578 
1579 #define mpn_random __MPN(random)
1580 __GMP_DECLSPEC void mpn_random (mp_ptr, mp_size_t);
1581 
1582 #define mpn_random2 __MPN(random2)
1583 __GMP_DECLSPEC void mpn_random2 (mp_ptr, mp_size_t);
1584 
1585 #define mpn_rshift __MPN(rshift)
1586 __GMP_DECLSPEC mp_limb_t mpn_rshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
1587 
1588 #define mpn_scan0 __MPN(scan0)
1589 __GMP_DECLSPEC mp_bitcnt_t mpn_scan0 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
1590 
1591 #define mpn_scan1 __MPN(scan1)
1592 __GMP_DECLSPEC mp_bitcnt_t mpn_scan1 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
1593 
1594 #define mpn_set_str __MPN(set_str)
1595 __GMP_DECLSPEC mp_size_t mpn_set_str (mp_ptr, const unsigned char *, size_t, int);
1596 
1597 #define mpn_sizeinbase __MPN(sizeinbase)
1598 __GMP_DECLSPEC size_t mpn_sizeinbase (mp_srcptr, mp_size_t, int);
1599 
1600 #define mpn_sqrtrem __MPN(sqrtrem)
1601 __GMP_DECLSPEC mp_size_t mpn_sqrtrem (mp_ptr, mp_ptr, mp_srcptr, mp_size_t);
1602 
1603 #define mpn_sub __MPN(sub)
1604 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub)
1605 __GMP_DECLSPEC mp_limb_t mpn_sub (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1606 #endif
1607 
1608 #define mpn_sub_1 __MPN(sub_1)
1609 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub_1)
1610 __GMP_DECLSPEC mp_limb_t mpn_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
1611 #endif
1612 
1613 #define mpn_sub_n __MPN(sub_n)
1614 __GMP_DECLSPEC mp_limb_t mpn_sub_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1615 
1616 #define mpn_submul_1 __MPN(submul_1)
1617 __GMP_DECLSPEC mp_limb_t mpn_submul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1618 
1619 #define mpn_tdiv_qr __MPN(tdiv_qr)
1620 __GMP_DECLSPEC void mpn_tdiv_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1621 
1622 #define mpn_and_n __MPN(and_n)
1623 __GMP_DECLSPEC void mpn_and_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1624 #define mpn_andn_n __MPN(andn_n)
1625 __GMP_DECLSPEC void mpn_andn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1626 #define mpn_nand_n __MPN(nand_n)
1627 __GMP_DECLSPEC void mpn_nand_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1628 #define mpn_ior_n __MPN(ior_n)
1629 __GMP_DECLSPEC void mpn_ior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1630 #define mpn_iorn_n __MPN(iorn_n)
1631 __GMP_DECLSPEC void mpn_iorn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1632 #define mpn_nior_n __MPN(nior_n)
1633 __GMP_DECLSPEC void mpn_nior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1634 #define mpn_xor_n __MPN(xor_n)
1635 __GMP_DECLSPEC void mpn_xor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1636 #define mpn_xnor_n __MPN(xnor_n)
1637 __GMP_DECLSPEC void mpn_xnor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1638 
1639 #define mpn_copyi __MPN(copyi)
1640 __GMP_DECLSPEC void mpn_copyi (mp_ptr, mp_srcptr, mp_size_t);
1641 #define mpn_copyd __MPN(copyd)
1642 __GMP_DECLSPEC void mpn_copyd (mp_ptr, mp_srcptr, mp_size_t);
1643 #define mpn_zero __MPN(zero)
1644 __GMP_DECLSPEC void mpn_zero (mp_ptr, mp_size_t);
1645 
1646 #define mpn_cnd_add_n __MPN(cnd_add_n)
1647 __GMP_DECLSPEC mp_limb_t mpn_cnd_add_n (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1648 #define mpn_cnd_sub_n __MPN(cnd_sub_n)
1649 __GMP_DECLSPEC mp_limb_t mpn_cnd_sub_n (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1650 
1651 #define mpn_sec_add_1 __MPN(sec_add_1)
1652 __GMP_DECLSPEC mp_limb_t mpn_sec_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
1653 #define mpn_sec_add_1_itch __MPN(sec_add_1_itch)
1654 __GMP_DECLSPEC mp_size_t mpn_sec_add_1_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
1655 
1656 #define mpn_sec_sub_1 __MPN(sec_sub_1)
1657 __GMP_DECLSPEC mp_limb_t mpn_sec_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
1658 #define mpn_sec_sub_1_itch __MPN(sec_sub_1_itch)
1659 __GMP_DECLSPEC mp_size_t mpn_sec_sub_1_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
1660 
1661 #define mpn_cnd_swap  __MPN(cnd_swap)
1662 __GMP_DECLSPEC void mpn_cnd_swap (mp_limb_t, volatile mp_limb_t *, volatile mp_limb_t *, mp_size_t);
1663 
1664 #define mpn_sec_mul __MPN(sec_mul)
1665 __GMP_DECLSPEC void mpn_sec_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
1666 #define mpn_sec_mul_itch __MPN(sec_mul_itch)
1667 __GMP_DECLSPEC mp_size_t mpn_sec_mul_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
1668 
1669 #define mpn_sec_sqr __MPN(sec_sqr)
1670 __GMP_DECLSPEC void mpn_sec_sqr (mp_ptr, mp_srcptr, mp_size_t, mp_ptr);
1671 #define mpn_sec_sqr_itch __MPN(sec_sqr_itch)
1672 __GMP_DECLSPEC mp_size_t mpn_sec_sqr_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
1673 
1674 #define mpn_sec_powm __MPN(sec_powm)
1675 __GMP_DECLSPEC void mpn_sec_powm (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_bitcnt_t, mp_srcptr, mp_size_t, mp_ptr);
1676 #define mpn_sec_powm_itch __MPN(sec_powm_itch)
1677 __GMP_DECLSPEC mp_size_t mpn_sec_powm_itch (mp_size_t, mp_bitcnt_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
1678 
1679 #define mpn_sec_tabselect __MPN(sec_tabselect)
1680 __GMP_DECLSPEC void mpn_sec_tabselect (volatile mp_limb_t *, volatile const mp_limb_t *, mp_size_t, mp_size_t, mp_size_t);
1681 
1682 #define mpn_sec_div_qr __MPN(sec_div_qr)
1683 __GMP_DECLSPEC mp_limb_t mpn_sec_div_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
1684 #define mpn_sec_div_qr_itch __MPN(sec_div_qr_itch)
1685 __GMP_DECLSPEC mp_size_t mpn_sec_div_qr_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
1686 #define mpn_sec_div_r __MPN(sec_div_r)
1687 __GMP_DECLSPEC void mpn_sec_div_r (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
1688 #define mpn_sec_div_r_itch __MPN(sec_div_r_itch)
1689 __GMP_DECLSPEC mp_size_t mpn_sec_div_r_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
1690 
1691 #define mpn_sec_invert __MPN(sec_invert)
1692 __GMP_DECLSPEC int mpn_sec_invert (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_bitcnt_t, mp_ptr);
1693 #define mpn_sec_invert_itch __MPN(sec_invert_itch)
1694 __GMP_DECLSPEC mp_size_t mpn_sec_invert_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
1695 
1696 
1697 /**************** mpz inlines ****************/
1698 
1699 /* The following are provided as inlines where possible, but always exist as
1700    library functions too, for binary compatibility.
1701 
1702    Within gmp itself this inlining generally isn't relied on, since it
1703    doesn't get done for all compilers, whereas if something is worth
1704    inlining then it's worth arranging always.
1705 
1706    There are two styles of inlining here.  When the same bit of code is
1707    wanted for the inline as for the library version, then __GMP_FORCE_foo
1708    arranges for that code to be emitted and the __GMP_EXTERN_INLINE
1709    directive suppressed, eg. mpz_fits_uint_p.  When a different bit of code
1710    is wanted for the inline than for the library version, then
1711    __GMP_FORCE_foo arranges the inline to be suppressed, eg. mpz_abs.  */
1712 
1713 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_abs)
1714 __GMP_EXTERN_INLINE void
1715 mpz_abs (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1716 {
1717   if (__gmp_w != __gmp_u)
1718     mpz_set (__gmp_w, __gmp_u);
1719   __gmp_w->_mp_size = __GMP_ABS (__gmp_w->_mp_size);
1720 }
1721 #endif
1722 
1723 #if GMP_NAIL_BITS == 0
1724 #define __GMPZ_FITS_UTYPE_P(z,maxval)					\
1725   mp_size_t  __gmp_n = z->_mp_size;					\
1726   mp_ptr  __gmp_p = z->_mp_d;						\
1727   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval));
1728 #else
1729 #define __GMPZ_FITS_UTYPE_P(z,maxval)					\
1730   mp_size_t  __gmp_n = z->_mp_size;					\
1731   mp_ptr  __gmp_p = z->_mp_d;						\
1732   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval)	\
1733 	  || (__gmp_n == 2 && __gmp_p[1] <= ((mp_limb_t) maxval >> GMP_NUMB_BITS)));
1734 #endif
1735 
1736 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_uint_p)
1737 #if ! defined (__GMP_FORCE_mpz_fits_uint_p)
1738 __GMP_EXTERN_INLINE
1739 #endif
1740 int
1741 mpz_fits_uint_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1742 {
1743   __GMPZ_FITS_UTYPE_P (__gmp_z, UINT_MAX);
1744 }
1745 #endif
1746 
1747 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ulong_p)
1748 #if ! defined (__GMP_FORCE_mpz_fits_ulong_p)
1749 __GMP_EXTERN_INLINE
1750 #endif
1751 int
1752 mpz_fits_ulong_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1753 {
1754   __GMPZ_FITS_UTYPE_P (__gmp_z, ULONG_MAX);
1755 }
1756 #endif
1757 
1758 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ushort_p)
1759 #if ! defined (__GMP_FORCE_mpz_fits_ushort_p)
1760 __GMP_EXTERN_INLINE
1761 #endif
1762 int
1763 mpz_fits_ushort_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1764 {
1765   __GMPZ_FITS_UTYPE_P (__gmp_z, USHRT_MAX);
1766 }
1767 #endif
1768 
1769 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_get_ui)
1770 #if ! defined (__GMP_FORCE_mpz_get_ui)
1771 __GMP_EXTERN_INLINE
1772 #endif
1773 unsigned long
1774 mpz_get_ui (mpz_srcptr __gmp_z) __GMP_NOTHROW
1775 {
1776   mp_ptr __gmp_p = __gmp_z->_mp_d;
1777   mp_size_t __gmp_n = __gmp_z->_mp_size;
1778   mp_limb_t __gmp_l = __gmp_p[0];
1779   /* This is a "#if" rather than a plain "if" so as to avoid gcc warnings
1780      about "<< GMP_NUMB_BITS" exceeding the type size, and to avoid Borland
1781      C++ 6.0 warnings about condition always true for something like
1782      "ULONG_MAX < GMP_NUMB_MASK".  */
1783 #if GMP_NAIL_BITS == 0 || defined (_LONG_LONG_LIMB)
1784   /* limb==long and no nails, or limb==longlong, one limb is enough */
1785   return (__gmp_n != 0 ? __gmp_l : 0);
1786 #else
1787   /* limb==long and nails, need two limbs when available */
1788   __gmp_n = __GMP_ABS (__gmp_n);
1789   if (__gmp_n <= 1)
1790     return (__gmp_n != 0 ? __gmp_l : 0);
1791   else
1792     return __gmp_l + (__gmp_p[1] << GMP_NUMB_BITS);
1793 #endif
1794 }
1795 #endif
1796 
1797 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_getlimbn)
1798 #if ! defined (__GMP_FORCE_mpz_getlimbn)
1799 __GMP_EXTERN_INLINE
1800 #endif
1801 mp_limb_t
1802 mpz_getlimbn (mpz_srcptr __gmp_z, mp_size_t __gmp_n) __GMP_NOTHROW
1803 {
1804   mp_limb_t  __gmp_result = 0;
1805   if (__GMP_LIKELY (__gmp_n >= 0 && __gmp_n < __GMP_ABS (__gmp_z->_mp_size)))
1806     __gmp_result = __gmp_z->_mp_d[__gmp_n];
1807   return __gmp_result;
1808 }
1809 #endif
1810 
1811 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_neg)
1812 __GMP_EXTERN_INLINE void
1813 mpz_neg (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1814 {
1815   if (__gmp_w != __gmp_u)
1816     mpz_set (__gmp_w, __gmp_u);
1817   __gmp_w->_mp_size = - __gmp_w->_mp_size;
1818 }
1819 #endif
1820 
1821 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_perfect_square_p)
1822 #if ! defined (__GMP_FORCE_mpz_perfect_square_p)
1823 __GMP_EXTERN_INLINE
1824 #endif
1825 int
1826 mpz_perfect_square_p (mpz_srcptr __gmp_a)
1827 {
1828   mp_size_t __gmp_asize;
1829   int       __gmp_result;
1830 
1831   __gmp_asize = __gmp_a->_mp_size;
1832   __gmp_result = (__gmp_asize >= 0);  /* zero is a square, negatives are not */
1833   if (__GMP_LIKELY (__gmp_asize > 0))
1834     __gmp_result = mpn_perfect_square_p (__gmp_a->_mp_d, __gmp_asize);
1835   return __gmp_result;
1836 }
1837 #endif
1838 
1839 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_popcount)
1840 #if ! defined (__GMP_FORCE_mpz_popcount)
1841 __GMP_EXTERN_INLINE
1842 #endif
1843 mp_bitcnt_t
1844 mpz_popcount (mpz_srcptr __gmp_u) __GMP_NOTHROW
1845 {
1846   mp_size_t      __gmp_usize;
1847   mp_bitcnt_t    __gmp_result;
1848 
1849   __gmp_usize = __gmp_u->_mp_size;
1850   __gmp_result = (__gmp_usize < 0 ? ~ __GMP_CAST (mp_bitcnt_t, 0) : __GMP_CAST (mp_bitcnt_t, 0));
1851   if (__GMP_LIKELY (__gmp_usize > 0))
1852     __gmp_result =  mpn_popcount (__gmp_u->_mp_d, __gmp_usize);
1853   return __gmp_result;
1854 }
1855 #endif
1856 
1857 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_set_q)
1858 #if ! defined (__GMP_FORCE_mpz_set_q)
1859 __GMP_EXTERN_INLINE
1860 #endif
1861 void
1862 mpz_set_q (mpz_ptr __gmp_w, mpq_srcptr __gmp_u)
1863 {
1864   mpz_tdiv_q (__gmp_w, mpq_numref (__gmp_u), mpq_denref (__gmp_u));
1865 }
1866 #endif
1867 
1868 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_size)
1869 #if ! defined (__GMP_FORCE_mpz_size)
1870 __GMP_EXTERN_INLINE
1871 #endif
1872 size_t
1873 mpz_size (mpz_srcptr __gmp_z) __GMP_NOTHROW
1874 {
1875   return __GMP_ABS (__gmp_z->_mp_size);
1876 }
1877 #endif
1878 
1879 
1880 /**************** mpq inlines ****************/
1881 
1882 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_abs)
1883 __GMP_EXTERN_INLINE void
1884 mpq_abs (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1885 {
1886   if (__gmp_w != __gmp_u)
1887     mpq_set (__gmp_w, __gmp_u);
1888   __gmp_w->_mp_num._mp_size = __GMP_ABS (__gmp_w->_mp_num._mp_size);
1889 }
1890 #endif
1891 
1892 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_neg)
1893 __GMP_EXTERN_INLINE void
1894 mpq_neg (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1895 {
1896   if (__gmp_w != __gmp_u)
1897     mpq_set (__gmp_w, __gmp_u);
1898   __gmp_w->_mp_num._mp_size = - __gmp_w->_mp_num._mp_size;
1899 }
1900 #endif
1901 
1902 
1903 /**************** mpn inlines ****************/
1904 
1905 /* The comments with __GMPN_ADD_1 below apply here too.
1906 
1907    The test for FUNCTION returning 0 should predict well.  If it's assumed
1908    {yp,ysize} will usually have a random number of bits then the high limb
1909    won't be full and a carry out will occur a good deal less than 50% of the
1910    time.
1911 
1912    ysize==0 isn't a documented feature, but is used internally in a few
1913    places.
1914 
1915    Producing cout last stops it using up a register during the main part of
1916    the calculation, though gcc (as of 3.0) on an "if (mpn_add (...))"
1917    doesn't seem able to move the true and false legs of the conditional up
1918    to the two places cout is generated.  */
1919 
1920 #define __GMPN_AORS(cout, wp, xp, xsize, yp, ysize, FUNCTION, TEST)     \
1921   do {                                                                  \
1922     mp_size_t  __gmp_i;                                                 \
1923     mp_limb_t  __gmp_x;                                                 \
1924                                                                         \
1925     /* ASSERT ((ysize) >= 0); */                                        \
1926     /* ASSERT ((xsize) >= (ysize)); */                                  \
1927     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, xp, xsize)); */      \
1928     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, yp, ysize)); */      \
1929                                                                         \
1930     __gmp_i = (ysize);                                                  \
1931     if (__gmp_i != 0)                                                   \
1932       {                                                                 \
1933         if (FUNCTION (wp, xp, yp, __gmp_i))                             \
1934           {                                                             \
1935             do                                                          \
1936               {                                                         \
1937                 if (__gmp_i >= (xsize))                                 \
1938                   {                                                     \
1939                     (cout) = 1;                                         \
1940                     goto __gmp_done;                                    \
1941                   }                                                     \
1942                 __gmp_x = (xp)[__gmp_i];                                \
1943               }                                                         \
1944             while (TEST);                                               \
1945           }                                                             \
1946       }                                                                 \
1947     if ((wp) != (xp))                                                   \
1948       __GMPN_COPY_REST (wp, xp, xsize, __gmp_i);                        \
1949     (cout) = 0;                                                         \
1950   __gmp_done:                                                           \
1951     ;                                                                   \
1952   } while (0)
1953 
1954 #define __GMPN_ADD(cout, wp, xp, xsize, yp, ysize)              \
1955   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_add_n,       \
1956                (((wp)[__gmp_i++] = (__gmp_x + 1) & GMP_NUMB_MASK) == 0))
1957 #define __GMPN_SUB(cout, wp, xp, xsize, yp, ysize)              \
1958   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_sub_n,       \
1959                (((wp)[__gmp_i++] = (__gmp_x - 1) & GMP_NUMB_MASK), __gmp_x == 0))
1960 
1961 
1962 /* The use of __gmp_i indexing is designed to ensure a compile time src==dst
1963    remains nice and clear to the compiler, so that __GMPN_COPY_REST can
1964    disappear, and the load/add/store gets a chance to become a
1965    read-modify-write on CISC CPUs.
1966 
1967    Alternatives:
1968 
1969    Using a pair of pointers instead of indexing would be possible, but gcc
1970    isn't able to recognise compile-time src==dst in that case, even when the
1971    pointers are incremented more or less together.  Other compilers would
1972    very likely have similar difficulty.
1973 
1974    gcc could use "if (__builtin_constant_p(src==dst) && src==dst)" or
1975    similar to detect a compile-time src==dst.  This works nicely on gcc
1976    2.95.x, it's not good on gcc 3.0 where __builtin_constant_p(p==p) seems
1977    to be always false, for a pointer p.  But the current code form seems
1978    good enough for src==dst anyway.
1979 
1980    gcc on x86 as usual doesn't give particularly good flags handling for the
1981    carry/borrow detection.  It's tempting to want some multi instruction asm
1982    blocks to help it, and this was tried, but in truth there's only a few
1983    instructions to save and any gain is all too easily lost by register
1984    juggling setting up for the asm.  */
1985 
1986 #if GMP_NAIL_BITS == 0
1987 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
1988   do {								\
1989     mp_size_t  __gmp_i;						\
1990     mp_limb_t  __gmp_x, __gmp_r;                                \
1991 								\
1992     /* ASSERT ((n) >= 1); */					\
1993     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
1994 								\
1995     __gmp_x = (src)[0];						\
1996     __gmp_r = __gmp_x OP (v);                                   \
1997     (dst)[0] = __gmp_r;						\
1998     if (CB (__gmp_r, __gmp_x, (v)))                             \
1999       {								\
2000 	(cout) = 1;						\
2001 	for (__gmp_i = 1; __gmp_i < (n);)                       \
2002 	  {							\
2003 	    __gmp_x = (src)[__gmp_i];                           \
2004 	    __gmp_r = __gmp_x OP 1;                             \
2005 	    (dst)[__gmp_i] = __gmp_r;                           \
2006 	    ++__gmp_i;						\
2007 	    if (!CB (__gmp_r, __gmp_x, 1))                      \
2008 	      {							\
2009 		if ((src) != (dst))				\
2010 		  __GMPN_COPY_REST (dst, src, n, __gmp_i);      \
2011 		(cout) = 0;					\
2012 		break;						\
2013 	      }							\
2014 	  }							\
2015       }								\
2016     else							\
2017       {								\
2018 	if ((src) != (dst))					\
2019 	  __GMPN_COPY_REST (dst, src, n, 1);			\
2020 	(cout) = 0;						\
2021       }								\
2022   } while (0)
2023 #endif
2024 
2025 #if GMP_NAIL_BITS >= 1
2026 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
2027   do {								\
2028     mp_size_t  __gmp_i;						\
2029     mp_limb_t  __gmp_x, __gmp_r;				\
2030 								\
2031     /* ASSERT ((n) >= 1); */					\
2032     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
2033 								\
2034     __gmp_x = (src)[0];						\
2035     __gmp_r = __gmp_x OP (v);					\
2036     (dst)[0] = __gmp_r & GMP_NUMB_MASK;				\
2037     if (__gmp_r >> GMP_NUMB_BITS != 0)				\
2038       {								\
2039 	(cout) = 1;						\
2040 	for (__gmp_i = 1; __gmp_i < (n);)			\
2041 	  {							\
2042 	    __gmp_x = (src)[__gmp_i];				\
2043 	    __gmp_r = __gmp_x OP 1;				\
2044 	    (dst)[__gmp_i] = __gmp_r & GMP_NUMB_MASK;		\
2045 	    ++__gmp_i;						\
2046 	    if (__gmp_r >> GMP_NUMB_BITS == 0)			\
2047 	      {							\
2048 		if ((src) != (dst))				\
2049 		  __GMPN_COPY_REST (dst, src, n, __gmp_i);	\
2050 		(cout) = 0;					\
2051 		break;						\
2052 	      }							\
2053 	  }							\
2054       }								\
2055     else							\
2056       {								\
2057 	if ((src) != (dst))					\
2058 	  __GMPN_COPY_REST (dst, src, n, 1);			\
2059 	(cout) = 0;						\
2060       }								\
2061   } while (0)
2062 #endif
2063 
2064 #define __GMPN_ADDCB(r,x,y) ((r) < (y))
2065 #define __GMPN_SUBCB(r,x,y) ((x) < (y))
2066 
2067 #define __GMPN_ADD_1(cout, dst, src, n, v)	     \
2068   __GMPN_AORS_1(cout, dst, src, n, v, +, __GMPN_ADDCB)
2069 #define __GMPN_SUB_1(cout, dst, src, n, v)	     \
2070   __GMPN_AORS_1(cout, dst, src, n, v, -, __GMPN_SUBCB)
2071 
2072 
2073 /* Compare {xp,size} and {yp,size}, setting "result" to positive, zero or
2074    negative.  size==0 is allowed.  On random data usually only one limb will
2075    need to be examined to get a result, so it's worth having it inline.  */
2076 #define __GMPN_CMP(result, xp, yp, size)                                \
2077   do {                                                                  \
2078     mp_size_t  __gmp_i;                                                 \
2079     mp_limb_t  __gmp_x, __gmp_y;                                        \
2080                                                                         \
2081     /* ASSERT ((size) >= 0); */                                         \
2082                                                                         \
2083     (result) = 0;                                                       \
2084     __gmp_i = (size);                                                   \
2085     while (--__gmp_i >= 0)                                              \
2086       {                                                                 \
2087         __gmp_x = (xp)[__gmp_i];                                        \
2088         __gmp_y = (yp)[__gmp_i];                                        \
2089         if (__gmp_x != __gmp_y)                                         \
2090           {                                                             \
2091             /* Cannot use __gmp_x - __gmp_y, may overflow an "int" */   \
2092             (result) = (__gmp_x > __gmp_y ? 1 : -1);                    \
2093             break;                                                      \
2094           }                                                             \
2095       }                                                                 \
2096   } while (0)
2097 
2098 
2099 #if defined (__GMPN_COPY) && ! defined (__GMPN_COPY_REST)
2100 #define __GMPN_COPY_REST(dst, src, size, start)                 \
2101   do {                                                          \
2102     /* ASSERT ((start) >= 0); */                                \
2103     /* ASSERT ((start) <= (size)); */                           \
2104     __GMPN_COPY ((dst)+(start), (src)+(start), (size)-(start)); \
2105   } while (0)
2106 #endif
2107 
2108 /* Copy {src,size} to {dst,size}, starting at "start".  This is designed to
2109    keep the indexing dst[j] and src[j] nice and simple for __GMPN_ADD_1,
2110    __GMPN_ADD, etc.  */
2111 #if ! defined (__GMPN_COPY_REST)
2112 #define __GMPN_COPY_REST(dst, src, size, start)                 \
2113   do {                                                          \
2114     mp_size_t __gmp_j;                                          \
2115     /* ASSERT ((size) >= 0); */                                 \
2116     /* ASSERT ((start) >= 0); */                                \
2117     /* ASSERT ((start) <= (size)); */                           \
2118     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */     \
2119     __GMP_CRAY_Pragma ("_CRI ivdep");                           \
2120     for (__gmp_j = (start); __gmp_j < (size); __gmp_j++)        \
2121       (dst)[__gmp_j] = (src)[__gmp_j];                          \
2122   } while (0)
2123 #endif
2124 
2125 /* Enhancement: Use some of the smarter code from gmp-impl.h.  Maybe use
2126    mpn_copyi if there's a native version, and if we don't mind demanding
2127    binary compatibility for it (on targets which use it).  */
2128 
2129 #if ! defined (__GMPN_COPY)
2130 #define __GMPN_COPY(dst, src, size)   __GMPN_COPY_REST (dst, src, size, 0)
2131 #endif
2132 
2133 
2134 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add)
2135 #if ! defined (__GMP_FORCE_mpn_add)
2136 __GMP_EXTERN_INLINE
2137 #endif
2138 mp_limb_t
2139 mpn_add (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2140 {
2141   mp_limb_t  __gmp_c;
2142   __GMPN_ADD (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2143   return __gmp_c;
2144 }
2145 #endif
2146 
2147 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add_1)
2148 #if ! defined (__GMP_FORCE_mpn_add_1)
2149 __GMP_EXTERN_INLINE
2150 #endif
2151 mp_limb_t
2152 mpn_add_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2153 {
2154   mp_limb_t  __gmp_c;
2155   __GMPN_ADD_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2156   return __gmp_c;
2157 }
2158 #endif
2159 
2160 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_cmp)
2161 #if ! defined (__GMP_FORCE_mpn_cmp)
2162 __GMP_EXTERN_INLINE
2163 #endif
2164 int
2165 mpn_cmp (mp_srcptr __gmp_xp, mp_srcptr __gmp_yp, mp_size_t __gmp_size) __GMP_NOTHROW
2166 {
2167   int __gmp_result;
2168   __GMPN_CMP (__gmp_result, __gmp_xp, __gmp_yp, __gmp_size);
2169   return __gmp_result;
2170 }
2171 #endif
2172 
2173 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_zero_p)
2174 #if ! defined (__GMP_FORCE_mpn_zero_p)
2175 __GMP_EXTERN_INLINE
2176 #endif
2177 int
2178 mpn_zero_p (mp_srcptr __gmp_p, mp_size_t __gmp_n) __GMP_NOTHROW
2179 {
2180   /* if (__GMP_LIKELY (__gmp_n > 0)) */
2181     do {
2182       if (__gmp_p[--__gmp_n] != 0)
2183 	return 0;
2184     } while (__gmp_n != 0);
2185   return 1;
2186 }
2187 #endif
2188 
2189 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub)
2190 #if ! defined (__GMP_FORCE_mpn_sub)
2191 __GMP_EXTERN_INLINE
2192 #endif
2193 mp_limb_t
2194 mpn_sub (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2195 {
2196   mp_limb_t  __gmp_c;
2197   __GMPN_SUB (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2198   return __gmp_c;
2199 }
2200 #endif
2201 
2202 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub_1)
2203 #if ! defined (__GMP_FORCE_mpn_sub_1)
2204 __GMP_EXTERN_INLINE
2205 #endif
2206 mp_limb_t
2207 mpn_sub_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2208 {
2209   mp_limb_t  __gmp_c;
2210   __GMPN_SUB_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2211   return __gmp_c;
2212 }
2213 #endif
2214 
2215 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_neg)
2216 #if ! defined (__GMP_FORCE_mpn_neg)
2217 __GMP_EXTERN_INLINE
2218 #endif
2219 mp_limb_t
2220 mpn_neg (mp_ptr __gmp_rp, mp_srcptr __gmp_up, mp_size_t __gmp_n)
2221 {
2222   while (*__gmp_up == 0) /* Low zero limbs are unchanged by negation. */
2223     {
2224       *__gmp_rp = 0;
2225       if (!--__gmp_n) /* All zero */
2226 	return 0;
2227       ++__gmp_up; ++__gmp_rp;
2228     }
2229 
2230   *__gmp_rp = (- *__gmp_up) & GMP_NUMB_MASK;
2231 
2232   if (--__gmp_n) /* Higher limbs get complemented. */
2233     mpn_com (++__gmp_rp, ++__gmp_up, __gmp_n);
2234 
2235   return 1;
2236 }
2237 #endif
2238 
2239 #if defined (__cplusplus)
2240 }
2241 #endif
2242 
2243 
2244 /* Allow faster testing for negative, zero, and positive.  */
2245 #define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0)
2246 #define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0)
2247 #define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0)
2248 
2249 /* When using GCC, optimize certain common comparisons.  */
2250 #if defined (__GNUC__) && __GNUC__ >= 2
2251 #define mpz_cmp_ui(Z,UI) \
2252   (__builtin_constant_p (UI) && (UI) == 0				\
2253    ? mpz_sgn (Z) : _mpz_cmp_ui (Z,UI))
2254 #define mpz_cmp_si(Z,SI)						\
2255   (__builtin_constant_p ((SI) >= 0) && (SI) >= 0			\
2256    ? mpz_cmp_ui (Z, __GMP_CAST (unsigned long, SI))			\
2257    : _mpz_cmp_si (Z,SI))
2258 #define mpq_cmp_ui(Q,NUI,DUI)					\
2259   (__builtin_constant_p (NUI) && (NUI) == 0 ? mpq_sgn (Q)	\
2260    : __builtin_constant_p ((NUI) == (DUI)) && (NUI) == (DUI)	\
2261    ? mpz_cmp (mpq_numref (Q), mpq_denref (Q))			\
2262    : _mpq_cmp_ui (Q,NUI,DUI))
2263 #define mpq_cmp_si(q,n,d)				\
2264   (__builtin_constant_p ((n) >= 0) && (n) >= 0		\
2265    ? mpq_cmp_ui (q, __GMP_CAST (unsigned long, n), d)	\
2266    : _mpq_cmp_si (q, n, d))
2267 #else
2268 #define mpz_cmp_ui(Z,UI) _mpz_cmp_ui (Z,UI)
2269 #define mpz_cmp_si(Z,UI) _mpz_cmp_si (Z,UI)
2270 #define mpq_cmp_ui(Q,NUI,DUI) _mpq_cmp_ui (Q,NUI,DUI)
2271 #define mpq_cmp_si(q,n,d)  _mpq_cmp_si(q,n,d)
2272 #endif
2273 
2274 
2275 /* Using "&" rather than "&&" means these can come out branch-free.  Every
2276    mpz_t has at least one limb allocated, so fetching the low limb is always
2277    allowed.  */
2278 #define mpz_odd_p(z)   (((z)->_mp_size != 0) & __GMP_CAST (int, (z)->_mp_d[0]))
2279 #define mpz_even_p(z)  (! mpz_odd_p (z))
2280 
2281 
2282 /**************** C++ routines ****************/
2283 
2284 #ifdef __cplusplus
2285 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpz_srcptr);
2286 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpq_srcptr);
2287 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpf_srcptr);
2288 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpz_ptr);
2289 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpq_ptr);
2290 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpf_ptr);
2291 #endif
2292 
2293 
2294 /* Source-level compatibility with GMP 2 and earlier. */
2295 #define mpn_divmod(qp,np,nsize,dp,dsize) \
2296   mpn_divrem (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dp, dsize)
2297 
2298 /* Source-level compatibility with GMP 1.  */
2299 #define mpz_mdiv	mpz_fdiv_q
2300 #define mpz_mdivmod	mpz_fdiv_qr
2301 #define mpz_mmod	mpz_fdiv_r
2302 #define mpz_mdiv_ui	mpz_fdiv_q_ui
2303 #define mpz_mdivmod_ui(q,r,n,d) \
2304   (((r) == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d))
2305 #define mpz_mmod_ui(r,n,d) \
2306   (((r) == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d))
2307 
2308 /* Useful synonyms, but not quite compatible with GMP 1.  */
2309 #define mpz_div		mpz_fdiv_q
2310 #define mpz_divmod	mpz_fdiv_qr
2311 #define mpz_div_ui	mpz_fdiv_q_ui
2312 #define mpz_divmod_ui	mpz_fdiv_qr_ui
2313 #define mpz_div_2exp	mpz_fdiv_q_2exp
2314 #define mpz_mod_2exp	mpz_fdiv_r_2exp
2315 
2316 enum
2317 {
2318   GMP_ERROR_NONE = 0,
2319   GMP_ERROR_UNSUPPORTED_ARGUMENT = 1,
2320   GMP_ERROR_DIVISION_BY_ZERO = 2,
2321   GMP_ERROR_SQRT_OF_NEGATIVE = 4,
2322   GMP_ERROR_INVALID_ARGUMENT = 8
2323 };
2324 
2325 /* Define CC and CFLAGS which were used to build this version of GMP */
2326 #define __GMP_CC "gcc"
2327 #define __GMP_CFLAGS "-m32 -O2 -pedantic"
2328 
2329 /* Major version number is the value of __GNU_MP__ too, above. */
2330 #define __GNU_MP_VERSION            6
2331 #define __GNU_MP_VERSION_MINOR      2
2332 #define __GNU_MP_VERSION_PATCHLEVEL 0
2333 #define __GNU_MP_RELEASE (__GNU_MP_VERSION * 10000 + __GNU_MP_VERSION_MINOR * 100 + __GNU_MP_VERSION_PATCHLEVEL)
2334 
2335 #define __GMP_H__
2336 #endif /* __GMP_H__ */
2337