xref: /netbsd-src/external/lgpl3/gmp/lib/libgmp/arch/vax/gmp.h (revision c38e7cc395b1472a774ff828e46123de44c628e9)
1 /* Definitions for GNU multiple precision functions.   -*- mode: c -*-
2 
3 Copyright 1991, 1993-1997, 1999-2016 Free Software Foundation, Inc.
4 
5 This file is part of the GNU MP Library.
6 
7 The GNU MP Library is free software; you can redistribute it and/or modify
8 it under the terms of either:
9 
10   * the GNU Lesser General Public License as published by the Free
11     Software Foundation; either version 3 of the License, or (at your
12     option) any later version.
13 
14 or
15 
16   * the GNU General Public License as published by the Free Software
17     Foundation; either version 2 of the License, or (at your option) any
18     later version.
19 
20 or both in parallel, as here.
21 
22 The GNU MP Library is distributed in the hope that it will be useful, but
23 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
24 or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
25 for more details.
26 
27 You should have received copies of the GNU General Public License and the
28 GNU Lesser General Public License along with the GNU MP Library.  If not,
29 see https://www.gnu.org/licenses/.  */
30 
31 #ifndef __GMP_H__
32 
33 #if defined (__cplusplus)
34 #include <iosfwd>   /* for std::istream, std::ostream, std::string */
35 #include <cstdio>
36 #endif
37 
38 
39 /* Instantiated by configure. */
40 #if ! defined (__GMP_WITHIN_CONFIGURE)
41 #define __GMP_HAVE_HOST_CPU_FAMILY_power   0
42 #define __GMP_HAVE_HOST_CPU_FAMILY_powerpc 0
43 #define GMP_LIMB_BITS                      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 #define __GMP_NOTHROW  throw ()
345 #else
346 #define __GMP_NOTHROW
347 #endif
348 
349 
350 /* PORTME: What other compilers have a useful "extern inline"?  "static
351    inline" would be an acceptable substitute if the compiler (or linker)
352    discards unused statics.  */
353 
354  /* gcc has __inline__ in all modes, including strict ansi.  Give a prototype
355     for an inline too, so as to correctly specify "dllimport" on windows, in
356     case the function is called rather than inlined.
357     GCC 4.3 and above with -std=c99 or -std=gnu99 implements ISO C99
358     inline semantics, unless -fgnu89-inline is used.  */
359 #ifdef __GNUC__
360 #if (defined __GNUC_STDC_INLINE__) || (__GNUC__ == 4 && __GNUC_MINOR__ == 2) \
361   || (defined __GNUC_GNU_INLINE__ && defined __cplusplus)
362 #define __GMP_EXTERN_INLINE extern __inline__ __attribute__ ((__gnu_inline__))
363 #else
364 #define __GMP_EXTERN_INLINE      extern __inline__
365 #endif
366 #define __GMP_INLINE_PROTOTYPES  1
367 #endif
368 
369 /* DEC C (eg. version 5.9) supports "static __inline foo()", even in -std1
370    strict ANSI mode.  Inlining is done even when not optimizing (ie. -O0
371    mode, which is the default), but an unnecessary local copy of foo is
372    emitted unless -O is used.  "extern __inline" is accepted, but the
373    "extern" appears to be ignored, ie. it becomes a plain global function
374    but which is inlined within its file.  Don't know if all old versions of
375    DEC C supported __inline, but as a start let's do the right thing for
376    current versions.  */
377 #ifdef __DECC
378 #define __GMP_EXTERN_INLINE  static __inline
379 #endif
380 
381 /* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict
382    ANSI mode (__STDC__ is 1 in that mode).  Inlining only actually takes
383    place under -O.  Without -O "foo" seems to be emitted whether it's used
384    or not, which is wasteful.  "extern inline foo()" isn't useful, the
385    "extern" is apparently ignored, so foo is inlined if possible but also
386    emitted as a global, which causes multiple definition errors when
387    building a shared libgmp.  */
388 #ifdef __SCO_VERSION__
389 #if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
390   && ! defined (__GMP_EXTERN_INLINE)
391 #define __GMP_EXTERN_INLINE  static inline
392 #endif
393 #endif
394 
395 /* Microsoft's C compiler accepts __inline */
396 #ifdef _MSC_VER
397 #define __GMP_EXTERN_INLINE  __inline
398 #endif
399 
400 /* Recent enough Sun C compilers want "inline" */
401 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x560 \
402   && ! defined (__GMP_EXTERN_INLINE)
403 #define __GMP_EXTERN_INLINE  inline
404 #endif
405 
406 /* Somewhat older Sun C compilers want "static inline" */
407 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x540 \
408   && ! defined (__GMP_EXTERN_INLINE)
409 #define __GMP_EXTERN_INLINE  static inline
410 #endif
411 
412 
413 /* C++ always has "inline" and since it's a normal feature the linker should
414    discard duplicate non-inlined copies, or if it doesn't then that's a
415    problem for everyone, not just GMP.  */
416 #if defined (__cplusplus) && ! defined (__GMP_EXTERN_INLINE)
417 #define __GMP_EXTERN_INLINE  inline
418 #endif
419 
420 /* Don't do any inlining within a configure run, since if the compiler ends
421    up emitting copies of the code into the object file it can end up
422    demanding the various support routines (like mpn_popcount) for linking,
423    making the "alloca" test and perhaps others fail.  And on hppa ia64 a
424    pre-release gcc 3.2 was seen not respecting the "extern" in "extern
425    __inline__", triggering this problem too.  */
426 #if defined (__GMP_WITHIN_CONFIGURE) && ! __GMP_WITHIN_CONFIGURE_INLINE
427 #undef __GMP_EXTERN_INLINE
428 #endif
429 
430 /* By default, don't give a prototype when there's going to be an inline
431    version.  Note in particular that Cray C++ objects to the combination of
432    prototype and inline.  */
433 #ifdef __GMP_EXTERN_INLINE
434 #ifndef __GMP_INLINE_PROTOTYPES
435 #define __GMP_INLINE_PROTOTYPES  0
436 #endif
437 #else
438 #define __GMP_INLINE_PROTOTYPES  1
439 #endif
440 
441 
442 #define __GMP_ABS(x)   ((x) >= 0 ? (x) : -(x))
443 #define __GMP_MAX(h,i) ((h) > (i) ? (h) : (i))
444 
445 
446 /* __builtin_expect is in gcc 3.0, and not in 2.95. */
447 #if __GMP_GNUC_PREREQ (3,0)
448 #define __GMP_LIKELY(cond)    __builtin_expect ((cond) != 0, 1)
449 #define __GMP_UNLIKELY(cond)  __builtin_expect ((cond) != 0, 0)
450 #else
451 #define __GMP_LIKELY(cond)    (cond)
452 #define __GMP_UNLIKELY(cond)  (cond)
453 #endif
454 
455 #ifdef _CRAY
456 #define __GMP_CRAY_Pragma(str)  _Pragma (str)
457 #else
458 #define __GMP_CRAY_Pragma(str)
459 #endif
460 
461 
462 /* Allow direct user access to numerator and denominator of an mpq_t object.  */
463 #define mpq_numref(Q) (&((Q)->_mp_num))
464 #define mpq_denref(Q) (&((Q)->_mp_den))
465 
466 
467 #if defined (__cplusplus)
468 extern "C" {
469 using std::FILE;
470 #endif
471 
472 #define mp_set_memory_functions __gmp_set_memory_functions
473 __GMP_DECLSPEC void mp_set_memory_functions (void *(*) (size_t),
474 				      void *(*) (void *, size_t, size_t),
475 				      void (*) (void *, size_t)) __GMP_NOTHROW;
476 
477 #define mp_get_memory_functions __gmp_get_memory_functions
478 __GMP_DECLSPEC void mp_get_memory_functions (void *(**) (size_t),
479 				      void *(**) (void *, size_t, size_t),
480 				      void (**) (void *, size_t)) __GMP_NOTHROW;
481 
482 #define mp_bits_per_limb __gmp_bits_per_limb
483 __GMP_DECLSPEC extern const int mp_bits_per_limb;
484 
485 #define gmp_errno __gmp_errno
486 __GMP_DECLSPEC extern int gmp_errno;
487 
488 #define gmp_version __gmp_version
489 __GMP_DECLSPEC extern const char * const gmp_version;
490 
491 
492 /**************** Random number routines.  ****************/
493 
494 /* obsolete */
495 #define gmp_randinit __gmp_randinit
496 __GMP_DECLSPEC void gmp_randinit (gmp_randstate_t, gmp_randalg_t, ...);
497 
498 #define gmp_randinit_default __gmp_randinit_default
499 __GMP_DECLSPEC void gmp_randinit_default (gmp_randstate_t);
500 
501 #define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
502 __GMP_DECLSPEC void gmp_randinit_lc_2exp (gmp_randstate_t, mpz_srcptr, unsigned long int, mp_bitcnt_t);
503 
504 #define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size
505 __GMP_DECLSPEC int gmp_randinit_lc_2exp_size (gmp_randstate_t, mp_bitcnt_t);
506 
507 #define gmp_randinit_mt __gmp_randinit_mt
508 __GMP_DECLSPEC void gmp_randinit_mt (gmp_randstate_t);
509 
510 #define gmp_randinit_set __gmp_randinit_set
511 __GMP_DECLSPEC void gmp_randinit_set (gmp_randstate_t, const __gmp_randstate_struct *);
512 
513 #define gmp_randseed __gmp_randseed
514 __GMP_DECLSPEC void gmp_randseed (gmp_randstate_t, mpz_srcptr);
515 
516 #define gmp_randseed_ui __gmp_randseed_ui
517 __GMP_DECLSPEC void gmp_randseed_ui (gmp_randstate_t, unsigned long int);
518 
519 #define gmp_randclear __gmp_randclear
520 __GMP_DECLSPEC void gmp_randclear (gmp_randstate_t);
521 
522 #define gmp_urandomb_ui __gmp_urandomb_ui
523 __GMP_DECLSPEC unsigned long gmp_urandomb_ui (gmp_randstate_t, unsigned long);
524 
525 #define gmp_urandomm_ui __gmp_urandomm_ui
526 __GMP_DECLSPEC unsigned long gmp_urandomm_ui (gmp_randstate_t, unsigned long);
527 
528 
529 /**************** Formatted output routines.  ****************/
530 
531 #define gmp_asprintf __gmp_asprintf
532 __GMP_DECLSPEC int gmp_asprintf (char **, const char *, ...);
533 
534 #define gmp_fprintf __gmp_fprintf
535 #ifdef _GMP_H_HAVE_FILE
536 __GMP_DECLSPEC int gmp_fprintf (FILE *, const char *, ...);
537 #endif
538 
539 #define gmp_obstack_printf __gmp_obstack_printf
540 #if defined (_GMP_H_HAVE_OBSTACK)
541 __GMP_DECLSPEC int gmp_obstack_printf (struct obstack *, const char *, ...);
542 #endif
543 
544 #define gmp_obstack_vprintf __gmp_obstack_vprintf
545 #if defined (_GMP_H_HAVE_OBSTACK) && defined (_GMP_H_HAVE_VA_LIST)
546 __GMP_DECLSPEC int gmp_obstack_vprintf (struct obstack *, const char *, va_list);
547 #endif
548 
549 #define gmp_printf __gmp_printf
550 __GMP_DECLSPEC int gmp_printf (const char *, ...);
551 
552 #define gmp_snprintf __gmp_snprintf
553 __GMP_DECLSPEC int gmp_snprintf (char *, size_t, const char *, ...);
554 
555 #define gmp_sprintf __gmp_sprintf
556 __GMP_DECLSPEC int gmp_sprintf (char *, const char *, ...);
557 
558 #define gmp_vasprintf __gmp_vasprintf
559 #if defined (_GMP_H_HAVE_VA_LIST)
560 __GMP_DECLSPEC int gmp_vasprintf (char **, const char *, va_list);
561 #endif
562 
563 #define gmp_vfprintf __gmp_vfprintf
564 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
565 __GMP_DECLSPEC int gmp_vfprintf (FILE *, const char *, va_list);
566 #endif
567 
568 #define gmp_vprintf __gmp_vprintf
569 #if defined (_GMP_H_HAVE_VA_LIST)
570 __GMP_DECLSPEC int gmp_vprintf (const char *, va_list);
571 #endif
572 
573 #define gmp_vsnprintf __gmp_vsnprintf
574 #if defined (_GMP_H_HAVE_VA_LIST)
575 __GMP_DECLSPEC int gmp_vsnprintf (char *, size_t, const char *, va_list);
576 #endif
577 
578 #define gmp_vsprintf __gmp_vsprintf
579 #if defined (_GMP_H_HAVE_VA_LIST)
580 __GMP_DECLSPEC int gmp_vsprintf (char *, const char *, va_list);
581 #endif
582 
583 
584 /**************** Formatted input routines.  ****************/
585 
586 #define gmp_fscanf __gmp_fscanf
587 #ifdef _GMP_H_HAVE_FILE
588 __GMP_DECLSPEC int gmp_fscanf (FILE *, const char *, ...);
589 #endif
590 
591 #define gmp_scanf __gmp_scanf
592 __GMP_DECLSPEC int gmp_scanf (const char *, ...);
593 
594 #define gmp_sscanf __gmp_sscanf
595 __GMP_DECLSPEC int gmp_sscanf (const char *, const char *, ...);
596 
597 #define gmp_vfscanf __gmp_vfscanf
598 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
599 __GMP_DECLSPEC int gmp_vfscanf (FILE *, const char *, va_list);
600 #endif
601 
602 #define gmp_vscanf __gmp_vscanf
603 #if defined (_GMP_H_HAVE_VA_LIST)
604 __GMP_DECLSPEC int gmp_vscanf (const char *, va_list);
605 #endif
606 
607 #define gmp_vsscanf __gmp_vsscanf
608 #if defined (_GMP_H_HAVE_VA_LIST)
609 __GMP_DECLSPEC int gmp_vsscanf (const char *, const char *, va_list);
610 #endif
611 
612 
613 /**************** Integer (i.e. Z) routines.  ****************/
614 
615 #define _mpz_realloc __gmpz_realloc
616 #define mpz_realloc __gmpz_realloc
617 __GMP_DECLSPEC void *_mpz_realloc (mpz_ptr, mp_size_t);
618 
619 #define mpz_abs __gmpz_abs
620 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs)
621 __GMP_DECLSPEC void mpz_abs (mpz_ptr, mpz_srcptr);
622 #endif
623 
624 #define mpz_add __gmpz_add
625 __GMP_DECLSPEC void mpz_add (mpz_ptr, mpz_srcptr, mpz_srcptr);
626 
627 #define mpz_add_ui __gmpz_add_ui
628 __GMP_DECLSPEC void mpz_add_ui (mpz_ptr, mpz_srcptr, unsigned long int);
629 
630 #define mpz_addmul __gmpz_addmul
631 __GMP_DECLSPEC void mpz_addmul (mpz_ptr, mpz_srcptr, mpz_srcptr);
632 
633 #define mpz_addmul_ui __gmpz_addmul_ui
634 __GMP_DECLSPEC void mpz_addmul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
635 
636 #define mpz_and __gmpz_and
637 __GMP_DECLSPEC void mpz_and (mpz_ptr, mpz_srcptr, mpz_srcptr);
638 
639 #define mpz_array_init __gmpz_array_init
640 __GMP_DECLSPEC void mpz_array_init (mpz_ptr, mp_size_t, mp_size_t);
641 
642 #define mpz_bin_ui __gmpz_bin_ui
643 __GMP_DECLSPEC void mpz_bin_ui (mpz_ptr, mpz_srcptr, unsigned long int);
644 
645 #define mpz_bin_uiui __gmpz_bin_uiui
646 __GMP_DECLSPEC void mpz_bin_uiui (mpz_ptr, unsigned long int, unsigned long int);
647 
648 #define mpz_cdiv_q __gmpz_cdiv_q
649 __GMP_DECLSPEC void mpz_cdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
650 
651 #define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
652 __GMP_DECLSPEC void mpz_cdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
653 
654 #define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
655 __GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
656 
657 #define mpz_cdiv_qr __gmpz_cdiv_qr
658 __GMP_DECLSPEC void mpz_cdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
659 
660 #define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
661 __GMP_DECLSPEC unsigned long int mpz_cdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
662 
663 #define mpz_cdiv_r __gmpz_cdiv_r
664 __GMP_DECLSPEC void mpz_cdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
665 
666 #define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
667 __GMP_DECLSPEC void mpz_cdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
668 
669 #define mpz_cdiv_r_ui __gmpz_cdiv_r_ui
670 __GMP_DECLSPEC unsigned long int mpz_cdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
671 
672 #define mpz_cdiv_ui __gmpz_cdiv_ui
673 __GMP_DECLSPEC unsigned long int mpz_cdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
674 
675 #define mpz_clear __gmpz_clear
676 __GMP_DECLSPEC void mpz_clear (mpz_ptr);
677 
678 #define mpz_clears __gmpz_clears
679 __GMP_DECLSPEC void mpz_clears (mpz_ptr, ...);
680 
681 #define mpz_clrbit __gmpz_clrbit
682 __GMP_DECLSPEC void mpz_clrbit (mpz_ptr, mp_bitcnt_t);
683 
684 #define mpz_cmp __gmpz_cmp
685 __GMP_DECLSPEC int mpz_cmp (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
686 
687 #define mpz_cmp_d __gmpz_cmp_d
688 __GMP_DECLSPEC int mpz_cmp_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
689 
690 #define _mpz_cmp_si __gmpz_cmp_si
691 __GMP_DECLSPEC int _mpz_cmp_si (mpz_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
692 
693 #define _mpz_cmp_ui __gmpz_cmp_ui
694 __GMP_DECLSPEC int _mpz_cmp_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
695 
696 #define mpz_cmpabs __gmpz_cmpabs
697 __GMP_DECLSPEC int mpz_cmpabs (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
698 
699 #define mpz_cmpabs_d __gmpz_cmpabs_d
700 __GMP_DECLSPEC int mpz_cmpabs_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
701 
702 #define mpz_cmpabs_ui __gmpz_cmpabs_ui
703 __GMP_DECLSPEC int mpz_cmpabs_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
704 
705 #define mpz_com __gmpz_com
706 __GMP_DECLSPEC void mpz_com (mpz_ptr, mpz_srcptr);
707 
708 #define mpz_combit __gmpz_combit
709 __GMP_DECLSPEC void mpz_combit (mpz_ptr, mp_bitcnt_t);
710 
711 #define mpz_congruent_p __gmpz_congruent_p
712 __GMP_DECLSPEC int mpz_congruent_p (mpz_srcptr, mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
713 
714 #define mpz_congruent_2exp_p __gmpz_congruent_2exp_p
715 __GMP_DECLSPEC int mpz_congruent_2exp_p (mpz_srcptr, mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
716 
717 #define mpz_congruent_ui_p __gmpz_congruent_ui_p
718 __GMP_DECLSPEC int mpz_congruent_ui_p (mpz_srcptr, unsigned long, unsigned long) __GMP_ATTRIBUTE_PURE;
719 
720 #define mpz_divexact __gmpz_divexact
721 __GMP_DECLSPEC void mpz_divexact (mpz_ptr, mpz_srcptr, mpz_srcptr);
722 
723 #define mpz_divexact_ui __gmpz_divexact_ui
724 __GMP_DECLSPEC void mpz_divexact_ui (mpz_ptr, mpz_srcptr, unsigned long);
725 
726 #define mpz_divisible_p __gmpz_divisible_p
727 __GMP_DECLSPEC int mpz_divisible_p (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
728 
729 #define mpz_divisible_ui_p __gmpz_divisible_ui_p
730 __GMP_DECLSPEC int mpz_divisible_ui_p (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
731 
732 #define mpz_divisible_2exp_p __gmpz_divisible_2exp_p
733 __GMP_DECLSPEC int mpz_divisible_2exp_p (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
734 
735 #define mpz_dump __gmpz_dump
736 __GMP_DECLSPEC void mpz_dump (mpz_srcptr);
737 
738 #define mpz_export __gmpz_export
739 __GMP_DECLSPEC void *mpz_export (void *, size_t *, int, size_t, int, size_t, mpz_srcptr);
740 
741 #define mpz_fac_ui __gmpz_fac_ui
742 __GMP_DECLSPEC void mpz_fac_ui (mpz_ptr, unsigned long int);
743 
744 #define mpz_2fac_ui __gmpz_2fac_ui
745 __GMP_DECLSPEC void mpz_2fac_ui (mpz_ptr, unsigned long int);
746 
747 #define mpz_mfac_uiui __gmpz_mfac_uiui
748 __GMP_DECLSPEC void mpz_mfac_uiui (mpz_ptr, unsigned long int, unsigned long int);
749 
750 #define mpz_primorial_ui __gmpz_primorial_ui
751 __GMP_DECLSPEC void mpz_primorial_ui (mpz_ptr, unsigned long int);
752 
753 #define mpz_fdiv_q __gmpz_fdiv_q
754 __GMP_DECLSPEC void mpz_fdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
755 
756 #define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
757 __GMP_DECLSPEC void mpz_fdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
758 
759 #define mpz_fdiv_q_ui __gmpz_fdiv_q_ui
760 __GMP_DECLSPEC unsigned long int mpz_fdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
761 
762 #define mpz_fdiv_qr __gmpz_fdiv_qr
763 __GMP_DECLSPEC void mpz_fdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
764 
765 #define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui
766 __GMP_DECLSPEC unsigned long int mpz_fdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
767 
768 #define mpz_fdiv_r __gmpz_fdiv_r
769 __GMP_DECLSPEC void mpz_fdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
770 
771 #define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
772 __GMP_DECLSPEC void mpz_fdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
773 
774 #define mpz_fdiv_r_ui __gmpz_fdiv_r_ui
775 __GMP_DECLSPEC unsigned long int mpz_fdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
776 
777 #define mpz_fdiv_ui __gmpz_fdiv_ui
778 __GMP_DECLSPEC unsigned long int mpz_fdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
779 
780 #define mpz_fib_ui __gmpz_fib_ui
781 __GMP_DECLSPEC void mpz_fib_ui (mpz_ptr, unsigned long int);
782 
783 #define mpz_fib2_ui __gmpz_fib2_ui
784 __GMP_DECLSPEC void mpz_fib2_ui (mpz_ptr, mpz_ptr, unsigned long int);
785 
786 #define mpz_fits_sint_p __gmpz_fits_sint_p
787 __GMP_DECLSPEC int mpz_fits_sint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
788 
789 #define mpz_fits_slong_p __gmpz_fits_slong_p
790 __GMP_DECLSPEC int mpz_fits_slong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
791 
792 #define mpz_fits_sshort_p __gmpz_fits_sshort_p
793 __GMP_DECLSPEC int mpz_fits_sshort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
794 
795 #define mpz_fits_uint_p __gmpz_fits_uint_p
796 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_uint_p)
797 __GMP_DECLSPEC int mpz_fits_uint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
798 #endif
799 
800 #define mpz_fits_ulong_p __gmpz_fits_ulong_p
801 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ulong_p)
802 __GMP_DECLSPEC int mpz_fits_ulong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
803 #endif
804 
805 #define mpz_fits_ushort_p __gmpz_fits_ushort_p
806 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ushort_p)
807 __GMP_DECLSPEC int mpz_fits_ushort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
808 #endif
809 
810 #define mpz_gcd __gmpz_gcd
811 __GMP_DECLSPEC void mpz_gcd (mpz_ptr, mpz_srcptr, mpz_srcptr);
812 
813 #define mpz_gcd_ui __gmpz_gcd_ui
814 __GMP_DECLSPEC unsigned long int mpz_gcd_ui (mpz_ptr, mpz_srcptr, unsigned long int);
815 
816 #define mpz_gcdext __gmpz_gcdext
817 __GMP_DECLSPEC void mpz_gcdext (mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
818 
819 #define mpz_get_d __gmpz_get_d
820 __GMP_DECLSPEC double mpz_get_d (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
821 
822 #define mpz_get_d_2exp __gmpz_get_d_2exp
823 __GMP_DECLSPEC double mpz_get_d_2exp (signed long int *, mpz_srcptr);
824 
825 #define mpz_get_si __gmpz_get_si
826 __GMP_DECLSPEC /* signed */ long int mpz_get_si (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
827 
828 #define mpz_get_str __gmpz_get_str
829 __GMP_DECLSPEC char *mpz_get_str (char *, int, mpz_srcptr);
830 
831 #define mpz_get_ui __gmpz_get_ui
832 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_get_ui)
833 __GMP_DECLSPEC unsigned long int mpz_get_ui (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
834 #endif
835 
836 #define mpz_getlimbn __gmpz_getlimbn
837 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_getlimbn)
838 __GMP_DECLSPEC mp_limb_t mpz_getlimbn (mpz_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
839 #endif
840 
841 #define mpz_hamdist __gmpz_hamdist
842 __GMP_DECLSPEC mp_bitcnt_t mpz_hamdist (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
843 
844 #define mpz_import __gmpz_import
845 __GMP_DECLSPEC void mpz_import (mpz_ptr, size_t, int, size_t, int, size_t, const void *);
846 
847 #define mpz_init __gmpz_init
848 __GMP_DECLSPEC void mpz_init (mpz_ptr);
849 
850 #define mpz_init2 __gmpz_init2
851 __GMP_DECLSPEC void mpz_init2 (mpz_ptr, mp_bitcnt_t);
852 
853 #define mpz_inits __gmpz_inits
854 __GMP_DECLSPEC void mpz_inits (mpz_ptr, ...);
855 
856 #define mpz_init_set __gmpz_init_set
857 __GMP_DECLSPEC void mpz_init_set (mpz_ptr, mpz_srcptr);
858 
859 #define mpz_init_set_d __gmpz_init_set_d
860 __GMP_DECLSPEC void mpz_init_set_d (mpz_ptr, double);
861 
862 #define mpz_init_set_si __gmpz_init_set_si
863 __GMP_DECLSPEC void mpz_init_set_si (mpz_ptr, signed long int);
864 
865 #define mpz_init_set_str __gmpz_init_set_str
866 __GMP_DECLSPEC int mpz_init_set_str (mpz_ptr, const char *, int);
867 
868 #define mpz_init_set_ui __gmpz_init_set_ui
869 __GMP_DECLSPEC void mpz_init_set_ui (mpz_ptr, unsigned long int);
870 
871 #define mpz_inp_raw __gmpz_inp_raw
872 #ifdef _GMP_H_HAVE_FILE
873 __GMP_DECLSPEC size_t mpz_inp_raw (mpz_ptr, FILE *);
874 #endif
875 
876 #define mpz_inp_str __gmpz_inp_str
877 #ifdef _GMP_H_HAVE_FILE
878 __GMP_DECLSPEC size_t mpz_inp_str (mpz_ptr, FILE *, int);
879 #endif
880 
881 #define mpz_invert __gmpz_invert
882 __GMP_DECLSPEC int mpz_invert (mpz_ptr, mpz_srcptr, mpz_srcptr);
883 
884 #define mpz_ior __gmpz_ior
885 __GMP_DECLSPEC void mpz_ior (mpz_ptr, mpz_srcptr, mpz_srcptr);
886 
887 #define mpz_jacobi __gmpz_jacobi
888 __GMP_DECLSPEC int mpz_jacobi (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
889 
890 #define mpz_kronecker mpz_jacobi  /* alias */
891 
892 #define mpz_kronecker_si __gmpz_kronecker_si
893 __GMP_DECLSPEC int mpz_kronecker_si (mpz_srcptr, long) __GMP_ATTRIBUTE_PURE;
894 
895 #define mpz_kronecker_ui __gmpz_kronecker_ui
896 __GMP_DECLSPEC int mpz_kronecker_ui (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
897 
898 #define mpz_si_kronecker __gmpz_si_kronecker
899 __GMP_DECLSPEC int mpz_si_kronecker (long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
900 
901 #define mpz_ui_kronecker __gmpz_ui_kronecker
902 __GMP_DECLSPEC int mpz_ui_kronecker (unsigned long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
903 
904 #define mpz_lcm __gmpz_lcm
905 __GMP_DECLSPEC void mpz_lcm (mpz_ptr, mpz_srcptr, mpz_srcptr);
906 
907 #define mpz_lcm_ui __gmpz_lcm_ui
908 __GMP_DECLSPEC void mpz_lcm_ui (mpz_ptr, mpz_srcptr, unsigned long);
909 
910 #define mpz_legendre mpz_jacobi  /* alias */
911 
912 #define mpz_lucnum_ui __gmpz_lucnum_ui
913 __GMP_DECLSPEC void mpz_lucnum_ui (mpz_ptr, unsigned long int);
914 
915 #define mpz_lucnum2_ui __gmpz_lucnum2_ui
916 __GMP_DECLSPEC void mpz_lucnum2_ui (mpz_ptr, mpz_ptr, unsigned long int);
917 
918 #define mpz_millerrabin __gmpz_millerrabin
919 __GMP_DECLSPEC int mpz_millerrabin (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
920 
921 #define mpz_mod __gmpz_mod
922 __GMP_DECLSPEC void mpz_mod (mpz_ptr, mpz_srcptr, mpz_srcptr);
923 
924 #define mpz_mod_ui mpz_fdiv_r_ui /* same as fdiv_r because divisor unsigned */
925 
926 #define mpz_mul __gmpz_mul
927 __GMP_DECLSPEC void mpz_mul (mpz_ptr, mpz_srcptr, mpz_srcptr);
928 
929 #define mpz_mul_2exp __gmpz_mul_2exp
930 __GMP_DECLSPEC void mpz_mul_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
931 
932 #define mpz_mul_si __gmpz_mul_si
933 __GMP_DECLSPEC void mpz_mul_si (mpz_ptr, mpz_srcptr, long int);
934 
935 #define mpz_mul_ui __gmpz_mul_ui
936 __GMP_DECLSPEC void mpz_mul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
937 
938 #define mpz_neg __gmpz_neg
939 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_neg)
940 __GMP_DECLSPEC void mpz_neg (mpz_ptr, mpz_srcptr);
941 #endif
942 
943 #define mpz_nextprime __gmpz_nextprime
944 __GMP_DECLSPEC void mpz_nextprime (mpz_ptr, mpz_srcptr);
945 
946 #define mpz_out_raw __gmpz_out_raw
947 #ifdef _GMP_H_HAVE_FILE
948 __GMP_DECLSPEC size_t mpz_out_raw (FILE *, mpz_srcptr);
949 #endif
950 
951 #define mpz_out_str __gmpz_out_str
952 #ifdef _GMP_H_HAVE_FILE
953 __GMP_DECLSPEC size_t mpz_out_str (FILE *, int, mpz_srcptr);
954 #endif
955 
956 #define mpz_perfect_power_p __gmpz_perfect_power_p
957 __GMP_DECLSPEC int mpz_perfect_power_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
958 
959 #define mpz_perfect_square_p __gmpz_perfect_square_p
960 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_perfect_square_p)
961 __GMP_DECLSPEC int mpz_perfect_square_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
962 #endif
963 
964 #define mpz_popcount __gmpz_popcount
965 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_popcount)
966 __GMP_DECLSPEC mp_bitcnt_t mpz_popcount (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
967 #endif
968 
969 #define mpz_pow_ui __gmpz_pow_ui
970 __GMP_DECLSPEC void mpz_pow_ui (mpz_ptr, mpz_srcptr, unsigned long int);
971 
972 #define mpz_powm __gmpz_powm
973 __GMP_DECLSPEC void mpz_powm (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
974 
975 #define mpz_powm_sec __gmpz_powm_sec
976 __GMP_DECLSPEC void mpz_powm_sec (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
977 
978 #define mpz_powm_ui __gmpz_powm_ui
979 __GMP_DECLSPEC void mpz_powm_ui (mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr);
980 
981 #define mpz_probab_prime_p __gmpz_probab_prime_p
982 __GMP_DECLSPEC int mpz_probab_prime_p (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
983 
984 #define mpz_random __gmpz_random
985 __GMP_DECLSPEC void mpz_random (mpz_ptr, mp_size_t);
986 
987 #define mpz_random2 __gmpz_random2
988 __GMP_DECLSPEC void mpz_random2 (mpz_ptr, mp_size_t);
989 
990 #define mpz_realloc2 __gmpz_realloc2
991 __GMP_DECLSPEC void mpz_realloc2 (mpz_ptr, mp_bitcnt_t);
992 
993 #define mpz_remove __gmpz_remove
994 __GMP_DECLSPEC mp_bitcnt_t mpz_remove (mpz_ptr, mpz_srcptr, mpz_srcptr);
995 
996 #define mpz_root __gmpz_root
997 __GMP_DECLSPEC int mpz_root (mpz_ptr, mpz_srcptr, unsigned long int);
998 
999 #define mpz_rootrem __gmpz_rootrem
1000 __GMP_DECLSPEC void mpz_rootrem (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
1001 
1002 #define mpz_rrandomb __gmpz_rrandomb
1003 __GMP_DECLSPEC void mpz_rrandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
1004 
1005 #define mpz_scan0 __gmpz_scan0
1006 __GMP_DECLSPEC mp_bitcnt_t mpz_scan0 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1007 
1008 #define mpz_scan1 __gmpz_scan1
1009 __GMP_DECLSPEC mp_bitcnt_t mpz_scan1 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1010 
1011 #define mpz_set __gmpz_set
1012 __GMP_DECLSPEC void mpz_set (mpz_ptr, mpz_srcptr);
1013 
1014 #define mpz_set_d __gmpz_set_d
1015 __GMP_DECLSPEC void mpz_set_d (mpz_ptr, double);
1016 
1017 #define mpz_set_f __gmpz_set_f
1018 __GMP_DECLSPEC void mpz_set_f (mpz_ptr, mpf_srcptr);
1019 
1020 #define mpz_set_q __gmpz_set_q
1021 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_set_q)
1022 __GMP_DECLSPEC void mpz_set_q (mpz_ptr, mpq_srcptr);
1023 #endif
1024 
1025 #define mpz_set_si __gmpz_set_si
1026 __GMP_DECLSPEC void mpz_set_si (mpz_ptr, signed long int);
1027 
1028 #define mpz_set_str __gmpz_set_str
1029 __GMP_DECLSPEC int mpz_set_str (mpz_ptr, const char *, int);
1030 
1031 #define mpz_set_ui __gmpz_set_ui
1032 __GMP_DECLSPEC void mpz_set_ui (mpz_ptr, unsigned long int);
1033 
1034 #define mpz_setbit __gmpz_setbit
1035 __GMP_DECLSPEC void mpz_setbit (mpz_ptr, mp_bitcnt_t);
1036 
1037 #define mpz_size __gmpz_size
1038 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_size)
1039 __GMP_DECLSPEC size_t mpz_size (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1040 #endif
1041 
1042 #define mpz_sizeinbase __gmpz_sizeinbase
1043 __GMP_DECLSPEC size_t mpz_sizeinbase (mpz_srcptr, int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1044 
1045 #define mpz_sqrt __gmpz_sqrt
1046 __GMP_DECLSPEC void mpz_sqrt (mpz_ptr, mpz_srcptr);
1047 
1048 #define mpz_sqrtrem __gmpz_sqrtrem
1049 __GMP_DECLSPEC void mpz_sqrtrem (mpz_ptr, mpz_ptr, mpz_srcptr);
1050 
1051 #define mpz_sub __gmpz_sub
1052 __GMP_DECLSPEC void mpz_sub (mpz_ptr, mpz_srcptr, mpz_srcptr);
1053 
1054 #define mpz_sub_ui __gmpz_sub_ui
1055 __GMP_DECLSPEC void mpz_sub_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1056 
1057 #define mpz_ui_sub __gmpz_ui_sub
1058 __GMP_DECLSPEC void mpz_ui_sub (mpz_ptr, unsigned long int, mpz_srcptr);
1059 
1060 #define mpz_submul __gmpz_submul
1061 __GMP_DECLSPEC void mpz_submul (mpz_ptr, mpz_srcptr, mpz_srcptr);
1062 
1063 #define mpz_submul_ui __gmpz_submul_ui
1064 __GMP_DECLSPEC void mpz_submul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1065 
1066 #define mpz_swap __gmpz_swap
1067 __GMP_DECLSPEC void mpz_swap (mpz_ptr, mpz_ptr) __GMP_NOTHROW;
1068 
1069 #define mpz_tdiv_ui __gmpz_tdiv_ui
1070 __GMP_DECLSPEC unsigned long int mpz_tdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
1071 
1072 #define mpz_tdiv_q __gmpz_tdiv_q
1073 __GMP_DECLSPEC void mpz_tdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
1074 
1075 #define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp
1076 __GMP_DECLSPEC void mpz_tdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
1077 
1078 #define mpz_tdiv_q_ui __gmpz_tdiv_q_ui
1079 __GMP_DECLSPEC unsigned long int mpz_tdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1080 
1081 #define mpz_tdiv_qr __gmpz_tdiv_qr
1082 __GMP_DECLSPEC void mpz_tdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
1083 
1084 #define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui
1085 __GMP_DECLSPEC unsigned long int mpz_tdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
1086 
1087 #define mpz_tdiv_r __gmpz_tdiv_r
1088 __GMP_DECLSPEC void mpz_tdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
1089 
1090 #define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp
1091 __GMP_DECLSPEC void mpz_tdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
1092 
1093 #define mpz_tdiv_r_ui __gmpz_tdiv_r_ui
1094 __GMP_DECLSPEC unsigned long int mpz_tdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1095 
1096 #define mpz_tstbit __gmpz_tstbit
1097 __GMP_DECLSPEC int mpz_tstbit (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1098 
1099 #define mpz_ui_pow_ui __gmpz_ui_pow_ui
1100 __GMP_DECLSPEC void mpz_ui_pow_ui (mpz_ptr, unsigned long int, unsigned long int);
1101 
1102 #define mpz_urandomb __gmpz_urandomb
1103 __GMP_DECLSPEC void mpz_urandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
1104 
1105 #define mpz_urandomm __gmpz_urandomm
1106 __GMP_DECLSPEC void mpz_urandomm (mpz_ptr, gmp_randstate_t, mpz_srcptr);
1107 
1108 #define mpz_xor __gmpz_xor
1109 #define mpz_eor __gmpz_xor
1110 __GMP_DECLSPEC void mpz_xor (mpz_ptr, mpz_srcptr, mpz_srcptr);
1111 
1112 #define mpz_limbs_read __gmpz_limbs_read
1113 __GMP_DECLSPEC mp_srcptr mpz_limbs_read (mpz_srcptr);
1114 
1115 #define mpz_limbs_write __gmpz_limbs_write
1116 __GMP_DECLSPEC mp_ptr mpz_limbs_write (mpz_ptr, mp_size_t);
1117 
1118 #define mpz_limbs_modify __gmpz_limbs_modify
1119 __GMP_DECLSPEC mp_ptr mpz_limbs_modify (mpz_ptr, mp_size_t);
1120 
1121 #define mpz_limbs_finish __gmpz_limbs_finish
1122 __GMP_DECLSPEC void mpz_limbs_finish (mpz_ptr, mp_size_t);
1123 
1124 #define mpz_roinit_n __gmpz_roinit_n
1125 __GMP_DECLSPEC mpz_srcptr mpz_roinit_n (mpz_ptr, mp_srcptr, mp_size_t);
1126 
1127 #define MPZ_ROINIT_N(xp, xs) {{0, (xs),(xp) }}
1128 
1129 /**************** Rational (i.e. Q) routines.  ****************/
1130 
1131 #define mpq_abs __gmpq_abs
1132 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_abs)
1133 __GMP_DECLSPEC void mpq_abs (mpq_ptr, mpq_srcptr);
1134 #endif
1135 
1136 #define mpq_add __gmpq_add
1137 __GMP_DECLSPEC void mpq_add (mpq_ptr, mpq_srcptr, mpq_srcptr);
1138 
1139 #define mpq_canonicalize __gmpq_canonicalize
1140 __GMP_DECLSPEC void mpq_canonicalize (mpq_ptr);
1141 
1142 #define mpq_clear __gmpq_clear
1143 __GMP_DECLSPEC void mpq_clear (mpq_ptr);
1144 
1145 #define mpq_clears __gmpq_clears
1146 __GMP_DECLSPEC void mpq_clears (mpq_ptr, ...);
1147 
1148 #define mpq_cmp __gmpq_cmp
1149 __GMP_DECLSPEC int mpq_cmp (mpq_srcptr, mpq_srcptr) __GMP_ATTRIBUTE_PURE;
1150 
1151 #define _mpq_cmp_si __gmpq_cmp_si
1152 __GMP_DECLSPEC int _mpq_cmp_si (mpq_srcptr, long, unsigned long) __GMP_ATTRIBUTE_PURE;
1153 
1154 #define _mpq_cmp_ui __gmpq_cmp_ui
1155 __GMP_DECLSPEC int _mpq_cmp_ui (mpq_srcptr, unsigned long int, unsigned long int) __GMP_ATTRIBUTE_PURE;
1156 
1157 #define mpq_cmp_z __gmpq_cmp_z
1158 __GMP_DECLSPEC int mpq_cmp_z (mpq_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
1159 
1160 #define mpq_div __gmpq_div
1161 __GMP_DECLSPEC void mpq_div (mpq_ptr, mpq_srcptr, mpq_srcptr);
1162 
1163 #define mpq_div_2exp __gmpq_div_2exp
1164 __GMP_DECLSPEC void mpq_div_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
1165 
1166 #define mpq_equal __gmpq_equal
1167 __GMP_DECLSPEC int mpq_equal (mpq_srcptr, mpq_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1168 
1169 #define mpq_get_num __gmpq_get_num
1170 __GMP_DECLSPEC void mpq_get_num (mpz_ptr, mpq_srcptr);
1171 
1172 #define mpq_get_den __gmpq_get_den
1173 __GMP_DECLSPEC void mpq_get_den (mpz_ptr, mpq_srcptr);
1174 
1175 #define mpq_get_d __gmpq_get_d
1176 __GMP_DECLSPEC double mpq_get_d (mpq_srcptr) __GMP_ATTRIBUTE_PURE;
1177 
1178 #define mpq_get_str __gmpq_get_str
1179 __GMP_DECLSPEC char *mpq_get_str (char *, int, mpq_srcptr);
1180 
1181 #define mpq_init __gmpq_init
1182 __GMP_DECLSPEC void mpq_init (mpq_ptr);
1183 
1184 #define mpq_inits __gmpq_inits
1185 __GMP_DECLSPEC void mpq_inits (mpq_ptr, ...);
1186 
1187 #define mpq_inp_str __gmpq_inp_str
1188 #ifdef _GMP_H_HAVE_FILE
1189 __GMP_DECLSPEC size_t mpq_inp_str (mpq_ptr, FILE *, int);
1190 #endif
1191 
1192 #define mpq_inv __gmpq_inv
1193 __GMP_DECLSPEC void mpq_inv (mpq_ptr, mpq_srcptr);
1194 
1195 #define mpq_mul __gmpq_mul
1196 __GMP_DECLSPEC void mpq_mul (mpq_ptr, mpq_srcptr, mpq_srcptr);
1197 
1198 #define mpq_mul_2exp __gmpq_mul_2exp
1199 __GMP_DECLSPEC void mpq_mul_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
1200 
1201 #define mpq_neg __gmpq_neg
1202 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_neg)
1203 __GMP_DECLSPEC void mpq_neg (mpq_ptr, mpq_srcptr);
1204 #endif
1205 
1206 #define mpq_out_str __gmpq_out_str
1207 #ifdef _GMP_H_HAVE_FILE
1208 __GMP_DECLSPEC size_t mpq_out_str (FILE *, int, mpq_srcptr);
1209 #endif
1210 
1211 #define mpq_set __gmpq_set
1212 __GMP_DECLSPEC void mpq_set (mpq_ptr, mpq_srcptr);
1213 
1214 #define mpq_set_d __gmpq_set_d
1215 __GMP_DECLSPEC void mpq_set_d (mpq_ptr, double);
1216 
1217 #define mpq_set_den __gmpq_set_den
1218 __GMP_DECLSPEC void mpq_set_den (mpq_ptr, mpz_srcptr);
1219 
1220 #define mpq_set_f __gmpq_set_f
1221 __GMP_DECLSPEC void mpq_set_f (mpq_ptr, mpf_srcptr);
1222 
1223 #define mpq_set_num __gmpq_set_num
1224 __GMP_DECLSPEC void mpq_set_num (mpq_ptr, mpz_srcptr);
1225 
1226 #define mpq_set_si __gmpq_set_si
1227 __GMP_DECLSPEC void mpq_set_si (mpq_ptr, signed long int, unsigned long int);
1228 
1229 #define mpq_set_str __gmpq_set_str
1230 __GMP_DECLSPEC int mpq_set_str (mpq_ptr, const char *, int);
1231 
1232 #define mpq_set_ui __gmpq_set_ui
1233 __GMP_DECLSPEC void mpq_set_ui (mpq_ptr, unsigned long int, unsigned long int);
1234 
1235 #define mpq_set_z __gmpq_set_z
1236 __GMP_DECLSPEC void mpq_set_z (mpq_ptr, mpz_srcptr);
1237 
1238 #define mpq_sub __gmpq_sub
1239 __GMP_DECLSPEC void mpq_sub (mpq_ptr, mpq_srcptr, mpq_srcptr);
1240 
1241 #define mpq_swap __gmpq_swap
1242 __GMP_DECLSPEC void mpq_swap (mpq_ptr, mpq_ptr) __GMP_NOTHROW;
1243 
1244 
1245 /**************** Float (i.e. F) routines.  ****************/
1246 
1247 #define mpf_abs __gmpf_abs
1248 __GMP_DECLSPEC void mpf_abs (mpf_ptr, mpf_srcptr);
1249 
1250 #define mpf_add __gmpf_add
1251 __GMP_DECLSPEC void mpf_add (mpf_ptr, mpf_srcptr, mpf_srcptr);
1252 
1253 #define mpf_add_ui __gmpf_add_ui
1254 __GMP_DECLSPEC void mpf_add_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1255 #define mpf_ceil __gmpf_ceil
1256 __GMP_DECLSPEC void mpf_ceil (mpf_ptr, mpf_srcptr);
1257 
1258 #define mpf_clear __gmpf_clear
1259 __GMP_DECLSPEC void mpf_clear (mpf_ptr);
1260 
1261 #define mpf_clears __gmpf_clears
1262 __GMP_DECLSPEC void mpf_clears (mpf_ptr, ...);
1263 
1264 #define mpf_cmp __gmpf_cmp
1265 __GMP_DECLSPEC int mpf_cmp (mpf_srcptr, mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1266 
1267 #define mpf_cmp_z __gmpf_cmp_z
1268 __GMP_DECLSPEC int mpf_cmp_z (mpf_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1269 
1270 #define mpf_cmp_d __gmpf_cmp_d
1271 __GMP_DECLSPEC int mpf_cmp_d (mpf_srcptr, double) __GMP_ATTRIBUTE_PURE;
1272 
1273 #define mpf_cmp_si __gmpf_cmp_si
1274 __GMP_DECLSPEC int mpf_cmp_si (mpf_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1275 
1276 #define mpf_cmp_ui __gmpf_cmp_ui
1277 __GMP_DECLSPEC int mpf_cmp_ui (mpf_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1278 
1279 #define mpf_div __gmpf_div
1280 __GMP_DECLSPEC void mpf_div (mpf_ptr, mpf_srcptr, mpf_srcptr);
1281 
1282 #define mpf_div_2exp __gmpf_div_2exp
1283 __GMP_DECLSPEC void mpf_div_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
1284 
1285 #define mpf_div_ui __gmpf_div_ui
1286 __GMP_DECLSPEC void mpf_div_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1287 
1288 #define mpf_dump __gmpf_dump
1289 __GMP_DECLSPEC void mpf_dump (mpf_srcptr);
1290 
1291 #define mpf_eq __gmpf_eq
1292 __GMP_DECLSPEC int mpf_eq (mpf_srcptr, mpf_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
1293 
1294 #define mpf_fits_sint_p __gmpf_fits_sint_p
1295 __GMP_DECLSPEC int mpf_fits_sint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1296 
1297 #define mpf_fits_slong_p __gmpf_fits_slong_p
1298 __GMP_DECLSPEC int mpf_fits_slong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1299 
1300 #define mpf_fits_sshort_p __gmpf_fits_sshort_p
1301 __GMP_DECLSPEC int mpf_fits_sshort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1302 
1303 #define mpf_fits_uint_p __gmpf_fits_uint_p
1304 __GMP_DECLSPEC int mpf_fits_uint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1305 
1306 #define mpf_fits_ulong_p __gmpf_fits_ulong_p
1307 __GMP_DECLSPEC int mpf_fits_ulong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1308 
1309 #define mpf_fits_ushort_p __gmpf_fits_ushort_p
1310 __GMP_DECLSPEC int mpf_fits_ushort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1311 
1312 #define mpf_floor __gmpf_floor
1313 __GMP_DECLSPEC void mpf_floor (mpf_ptr, mpf_srcptr);
1314 
1315 #define mpf_get_d __gmpf_get_d
1316 __GMP_DECLSPEC double mpf_get_d (mpf_srcptr) __GMP_ATTRIBUTE_PURE;
1317 
1318 #define mpf_get_d_2exp __gmpf_get_d_2exp
1319 __GMP_DECLSPEC double mpf_get_d_2exp (signed long int *, mpf_srcptr);
1320 
1321 #define mpf_get_default_prec __gmpf_get_default_prec
1322 __GMP_DECLSPEC mp_bitcnt_t mpf_get_default_prec (void) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1323 
1324 #define mpf_get_prec __gmpf_get_prec
1325 __GMP_DECLSPEC mp_bitcnt_t mpf_get_prec (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1326 
1327 #define mpf_get_si __gmpf_get_si
1328 __GMP_DECLSPEC long mpf_get_si (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1329 
1330 #define mpf_get_str __gmpf_get_str
1331 __GMP_DECLSPEC char *mpf_get_str (char *, mp_exp_t *, int, size_t, mpf_srcptr);
1332 
1333 #define mpf_get_ui __gmpf_get_ui
1334 __GMP_DECLSPEC unsigned long mpf_get_ui (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1335 
1336 #define mpf_init __gmpf_init
1337 __GMP_DECLSPEC void mpf_init (mpf_ptr);
1338 
1339 #define mpf_init2 __gmpf_init2
1340 __GMP_DECLSPEC void mpf_init2 (mpf_ptr, mp_bitcnt_t);
1341 
1342 #define mpf_inits __gmpf_inits
1343 __GMP_DECLSPEC void mpf_inits (mpf_ptr, ...);
1344 
1345 #define mpf_init_set __gmpf_init_set
1346 __GMP_DECLSPEC void mpf_init_set (mpf_ptr, mpf_srcptr);
1347 
1348 #define mpf_init_set_d __gmpf_init_set_d
1349 __GMP_DECLSPEC void mpf_init_set_d (mpf_ptr, double);
1350 
1351 #define mpf_init_set_si __gmpf_init_set_si
1352 __GMP_DECLSPEC void mpf_init_set_si (mpf_ptr, signed long int);
1353 
1354 #define mpf_init_set_str __gmpf_init_set_str
1355 __GMP_DECLSPEC int mpf_init_set_str (mpf_ptr, const char *, int);
1356 
1357 #define mpf_init_set_ui __gmpf_init_set_ui
1358 __GMP_DECLSPEC void mpf_init_set_ui (mpf_ptr, unsigned long int);
1359 
1360 #define mpf_inp_str __gmpf_inp_str
1361 #ifdef _GMP_H_HAVE_FILE
1362 __GMP_DECLSPEC size_t mpf_inp_str (mpf_ptr, FILE *, int);
1363 #endif
1364 
1365 #define mpf_integer_p __gmpf_integer_p
1366 __GMP_DECLSPEC int mpf_integer_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1367 
1368 #define mpf_mul __gmpf_mul
1369 __GMP_DECLSPEC void mpf_mul (mpf_ptr, mpf_srcptr, mpf_srcptr);
1370 
1371 #define mpf_mul_2exp __gmpf_mul_2exp
1372 __GMP_DECLSPEC void mpf_mul_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
1373 
1374 #define mpf_mul_ui __gmpf_mul_ui
1375 __GMP_DECLSPEC void mpf_mul_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1376 
1377 #define mpf_neg __gmpf_neg
1378 __GMP_DECLSPEC void mpf_neg (mpf_ptr, mpf_srcptr);
1379 
1380 #define mpf_out_str __gmpf_out_str
1381 #ifdef _GMP_H_HAVE_FILE
1382 __GMP_DECLSPEC size_t mpf_out_str (FILE *, int, size_t, mpf_srcptr);
1383 #endif
1384 
1385 #define mpf_pow_ui __gmpf_pow_ui
1386 __GMP_DECLSPEC void mpf_pow_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1387 
1388 #define mpf_random2 __gmpf_random2
1389 __GMP_DECLSPEC void mpf_random2 (mpf_ptr, mp_size_t, mp_exp_t);
1390 
1391 #define mpf_reldiff __gmpf_reldiff
1392 __GMP_DECLSPEC void mpf_reldiff (mpf_ptr, mpf_srcptr, mpf_srcptr);
1393 
1394 #define mpf_set __gmpf_set
1395 __GMP_DECLSPEC void mpf_set (mpf_ptr, mpf_srcptr);
1396 
1397 #define mpf_set_d __gmpf_set_d
1398 __GMP_DECLSPEC void mpf_set_d (mpf_ptr, double);
1399 
1400 #define mpf_set_default_prec __gmpf_set_default_prec
1401 __GMP_DECLSPEC void mpf_set_default_prec (mp_bitcnt_t) __GMP_NOTHROW;
1402 
1403 #define mpf_set_prec __gmpf_set_prec
1404 __GMP_DECLSPEC void mpf_set_prec (mpf_ptr, mp_bitcnt_t);
1405 
1406 #define mpf_set_prec_raw __gmpf_set_prec_raw
1407 __GMP_DECLSPEC void mpf_set_prec_raw (mpf_ptr, mp_bitcnt_t) __GMP_NOTHROW;
1408 
1409 #define mpf_set_q __gmpf_set_q
1410 __GMP_DECLSPEC void mpf_set_q (mpf_ptr, mpq_srcptr);
1411 
1412 #define mpf_set_si __gmpf_set_si
1413 __GMP_DECLSPEC void mpf_set_si (mpf_ptr, signed long int);
1414 
1415 #define mpf_set_str __gmpf_set_str
1416 __GMP_DECLSPEC int mpf_set_str (mpf_ptr, const char *, int);
1417 
1418 #define mpf_set_ui __gmpf_set_ui
1419 __GMP_DECLSPEC void mpf_set_ui (mpf_ptr, unsigned long int);
1420 
1421 #define mpf_set_z __gmpf_set_z
1422 __GMP_DECLSPEC void mpf_set_z (mpf_ptr, mpz_srcptr);
1423 
1424 #define mpf_size __gmpf_size
1425 __GMP_DECLSPEC size_t mpf_size (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1426 
1427 #define mpf_sqrt __gmpf_sqrt
1428 __GMP_DECLSPEC void mpf_sqrt (mpf_ptr, mpf_srcptr);
1429 
1430 #define mpf_sqrt_ui __gmpf_sqrt_ui
1431 __GMP_DECLSPEC void mpf_sqrt_ui (mpf_ptr, unsigned long int);
1432 
1433 #define mpf_sub __gmpf_sub
1434 __GMP_DECLSPEC void mpf_sub (mpf_ptr, mpf_srcptr, mpf_srcptr);
1435 
1436 #define mpf_sub_ui __gmpf_sub_ui
1437 __GMP_DECLSPEC void mpf_sub_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1438 
1439 #define mpf_swap __gmpf_swap
1440 __GMP_DECLSPEC void mpf_swap (mpf_ptr, mpf_ptr) __GMP_NOTHROW;
1441 
1442 #define mpf_trunc __gmpf_trunc
1443 __GMP_DECLSPEC void mpf_trunc (mpf_ptr, mpf_srcptr);
1444 
1445 #define mpf_ui_div __gmpf_ui_div
1446 __GMP_DECLSPEC void mpf_ui_div (mpf_ptr, unsigned long int, mpf_srcptr);
1447 
1448 #define mpf_ui_sub __gmpf_ui_sub
1449 __GMP_DECLSPEC void mpf_ui_sub (mpf_ptr, unsigned long int, mpf_srcptr);
1450 
1451 #define mpf_urandomb __gmpf_urandomb
1452 __GMP_DECLSPEC void mpf_urandomb (mpf_t, gmp_randstate_t, mp_bitcnt_t);
1453 
1454 
1455 /************ Low level positive-integer (i.e. N) routines.  ************/
1456 
1457 /* This is ugly, but we need to make user calls reach the prefixed function. */
1458 
1459 #define mpn_add __MPN(add)
1460 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add)
1461 __GMP_DECLSPEC mp_limb_t mpn_add (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1462 #endif
1463 
1464 #define mpn_add_1 __MPN(add_1)
1465 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add_1)
1466 __GMP_DECLSPEC mp_limb_t mpn_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
1467 #endif
1468 
1469 #define mpn_add_n __MPN(add_n)
1470 __GMP_DECLSPEC mp_limb_t mpn_add_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1471 
1472 #define mpn_addmul_1 __MPN(addmul_1)
1473 __GMP_DECLSPEC mp_limb_t mpn_addmul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1474 
1475 #define mpn_cmp __MPN(cmp)
1476 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_cmp)
1477 __GMP_DECLSPEC int mpn_cmp (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1478 #endif
1479 
1480 #define mpn_zero_p __MPN(zero_p)
1481 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_zero_p)
1482 __GMP_DECLSPEC int mpn_zero_p (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1483 #endif
1484 
1485 #define mpn_divexact_1 __MPN(divexact_1)
1486 __GMP_DECLSPEC void mpn_divexact_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1487 
1488 #define mpn_divexact_by3(dst,src,size) \
1489   mpn_divexact_by3c (dst, src, size, __GMP_CAST (mp_limb_t, 0))
1490 
1491 #define mpn_divexact_by3c __MPN(divexact_by3c)
1492 __GMP_DECLSPEC mp_limb_t mpn_divexact_by3c (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1493 
1494 #define mpn_divmod_1(qp,np,nsize,dlimb) \
1495   mpn_divrem_1 (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dlimb)
1496 
1497 #define mpn_divrem __MPN(divrem)
1498 __GMP_DECLSPEC mp_limb_t mpn_divrem (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t);
1499 
1500 #define mpn_divrem_1 __MPN(divrem_1)
1501 __GMP_DECLSPEC mp_limb_t mpn_divrem_1 (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t);
1502 
1503 #define mpn_divrem_2 __MPN(divrem_2)
1504 __GMP_DECLSPEC mp_limb_t mpn_divrem_2 (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr);
1505 
1506 #define mpn_div_qr_1 __MPN(div_qr_1)
1507 __GMP_DECLSPEC mp_limb_t mpn_div_qr_1 (mp_ptr, mp_limb_t *, mp_srcptr, mp_size_t, mp_limb_t);
1508 
1509 #define mpn_div_qr_2 __MPN(div_qr_2)
1510 __GMP_DECLSPEC mp_limb_t mpn_div_qr_2 (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
1511 
1512 #define mpn_gcd __MPN(gcd)
1513 __GMP_DECLSPEC mp_size_t mpn_gcd (mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
1514 
1515 #define mpn_gcd_1 __MPN(gcd_1)
1516 __GMP_DECLSPEC mp_limb_t mpn_gcd_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1517 
1518 #define mpn_gcdext_1 __MPN(gcdext_1)
1519 __GMP_DECLSPEC mp_limb_t mpn_gcdext_1 (mp_limb_signed_t *, mp_limb_signed_t *, mp_limb_t, mp_limb_t);
1520 
1521 #define mpn_gcdext __MPN(gcdext)
1522 __GMP_DECLSPEC mp_size_t mpn_gcdext (mp_ptr, mp_ptr, mp_size_t *, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
1523 
1524 #define mpn_get_str __MPN(get_str)
1525 __GMP_DECLSPEC size_t mpn_get_str (unsigned char *, int, mp_ptr, mp_size_t);
1526 
1527 #define mpn_hamdist __MPN(hamdist)
1528 __GMP_DECLSPEC mp_bitcnt_t mpn_hamdist (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1529 
1530 #define mpn_lshift __MPN(lshift)
1531 __GMP_DECLSPEC mp_limb_t mpn_lshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
1532 
1533 #define mpn_mod_1 __MPN(mod_1)
1534 __GMP_DECLSPEC mp_limb_t mpn_mod_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1535 
1536 #define mpn_mul __MPN(mul)
1537 __GMP_DECLSPEC mp_limb_t mpn_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1538 
1539 #define mpn_mul_1 __MPN(mul_1)
1540 __GMP_DECLSPEC mp_limb_t mpn_mul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1541 
1542 #define mpn_mul_n __MPN(mul_n)
1543 __GMP_DECLSPEC void mpn_mul_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1544 
1545 #define mpn_sqr __MPN(sqr)
1546 __GMP_DECLSPEC void mpn_sqr (mp_ptr, mp_srcptr, mp_size_t);
1547 
1548 #define mpn_neg __MPN(neg)
1549 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_neg)
1550 __GMP_DECLSPEC mp_limb_t mpn_neg (mp_ptr, mp_srcptr, mp_size_t);
1551 #endif
1552 
1553 #define mpn_com __MPN(com)
1554 __GMP_DECLSPEC void mpn_com (mp_ptr, mp_srcptr, mp_size_t);
1555 
1556 #define mpn_perfect_square_p __MPN(perfect_square_p)
1557 __GMP_DECLSPEC int mpn_perfect_square_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
1558 
1559 #define mpn_perfect_power_p __MPN(perfect_power_p)
1560 __GMP_DECLSPEC int mpn_perfect_power_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
1561 
1562 #define mpn_popcount __MPN(popcount)
1563 __GMP_DECLSPEC mp_bitcnt_t mpn_popcount (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1564 
1565 #define mpn_pow_1 __MPN(pow_1)
1566 __GMP_DECLSPEC mp_size_t mpn_pow_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
1567 
1568 /* undocumented now, but retained here for upward compatibility */
1569 #define mpn_preinv_mod_1 __MPN(preinv_mod_1)
1570 __GMP_DECLSPEC mp_limb_t mpn_preinv_mod_1 (mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1571 
1572 #define mpn_random __MPN(random)
1573 __GMP_DECLSPEC void mpn_random (mp_ptr, mp_size_t);
1574 
1575 #define mpn_random2 __MPN(random2)
1576 __GMP_DECLSPEC void mpn_random2 (mp_ptr, mp_size_t);
1577 
1578 #define mpn_rshift __MPN(rshift)
1579 __GMP_DECLSPEC mp_limb_t mpn_rshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
1580 
1581 #define mpn_scan0 __MPN(scan0)
1582 __GMP_DECLSPEC mp_bitcnt_t mpn_scan0 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
1583 
1584 #define mpn_scan1 __MPN(scan1)
1585 __GMP_DECLSPEC mp_bitcnt_t mpn_scan1 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
1586 
1587 #define mpn_set_str __MPN(set_str)
1588 __GMP_DECLSPEC mp_size_t mpn_set_str (mp_ptr, const unsigned char *, size_t, int);
1589 
1590 #define mpn_sizeinbase __MPN(sizeinbase)
1591 __GMP_DECLSPEC size_t mpn_sizeinbase (mp_srcptr, mp_size_t, int);
1592 
1593 #define mpn_sqrtrem __MPN(sqrtrem)
1594 __GMP_DECLSPEC mp_size_t mpn_sqrtrem (mp_ptr, mp_ptr, mp_srcptr, mp_size_t);
1595 
1596 #define mpn_sub __MPN(sub)
1597 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub)
1598 __GMP_DECLSPEC mp_limb_t mpn_sub (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1599 #endif
1600 
1601 #define mpn_sub_1 __MPN(sub_1)
1602 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub_1)
1603 __GMP_DECLSPEC mp_limb_t mpn_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
1604 #endif
1605 
1606 #define mpn_sub_n __MPN(sub_n)
1607 __GMP_DECLSPEC mp_limb_t mpn_sub_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1608 
1609 #define mpn_submul_1 __MPN(submul_1)
1610 __GMP_DECLSPEC mp_limb_t mpn_submul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1611 
1612 #define mpn_tdiv_qr __MPN(tdiv_qr)
1613 __GMP_DECLSPEC void mpn_tdiv_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1614 
1615 #define mpn_and_n __MPN(and_n)
1616 __GMP_DECLSPEC void mpn_and_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1617 #define mpn_andn_n __MPN(andn_n)
1618 __GMP_DECLSPEC void mpn_andn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1619 #define mpn_nand_n __MPN(nand_n)
1620 __GMP_DECLSPEC void mpn_nand_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1621 #define mpn_ior_n __MPN(ior_n)
1622 __GMP_DECLSPEC void mpn_ior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1623 #define mpn_iorn_n __MPN(iorn_n)
1624 __GMP_DECLSPEC void mpn_iorn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1625 #define mpn_nior_n __MPN(nior_n)
1626 __GMP_DECLSPEC void mpn_nior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1627 #define mpn_xor_n __MPN(xor_n)
1628 __GMP_DECLSPEC void mpn_xor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1629 #define mpn_xnor_n __MPN(xnor_n)
1630 __GMP_DECLSPEC void mpn_xnor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1631 
1632 #define mpn_copyi __MPN(copyi)
1633 __GMP_DECLSPEC void mpn_copyi (mp_ptr, mp_srcptr, mp_size_t);
1634 #define mpn_copyd __MPN(copyd)
1635 __GMP_DECLSPEC void mpn_copyd (mp_ptr, mp_srcptr, mp_size_t);
1636 #define mpn_zero __MPN(zero)
1637 __GMP_DECLSPEC void mpn_zero (mp_ptr, mp_size_t);
1638 
1639 #define mpn_cnd_add_n __MPN(cnd_add_n)
1640 __GMP_DECLSPEC mp_limb_t mpn_cnd_add_n (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1641 #define mpn_cnd_sub_n __MPN(cnd_sub_n)
1642 __GMP_DECLSPEC mp_limb_t mpn_cnd_sub_n (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1643 
1644 #define mpn_sec_add_1 __MPN(sec_add_1)
1645 __GMP_DECLSPEC mp_limb_t mpn_sec_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
1646 #define mpn_sec_add_1_itch __MPN(sec_add_1_itch)
1647 __GMP_DECLSPEC mp_size_t mpn_sec_add_1_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
1648 
1649 #define mpn_sec_sub_1 __MPN(sec_sub_1)
1650 __GMP_DECLSPEC mp_limb_t mpn_sec_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
1651 #define mpn_sec_sub_1_itch __MPN(sec_sub_1_itch)
1652 __GMP_DECLSPEC mp_size_t mpn_sec_sub_1_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
1653 
1654 #define mpn_cnd_swap  __MPN(cnd_swap)
1655 __GMP_DECLSPEC void mpn_cnd_swap (mp_limb_t, volatile mp_limb_t *, volatile mp_limb_t *, mp_size_t);
1656 
1657 #define mpn_sec_mul __MPN(sec_mul)
1658 __GMP_DECLSPEC void mpn_sec_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
1659 #define mpn_sec_mul_itch __MPN(sec_mul_itch)
1660 __GMP_DECLSPEC mp_size_t mpn_sec_mul_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
1661 
1662 #define mpn_sec_sqr __MPN(sec_sqr)
1663 __GMP_DECLSPEC void mpn_sec_sqr (mp_ptr, mp_srcptr, mp_size_t, mp_ptr);
1664 #define mpn_sec_sqr_itch __MPN(sec_sqr_itch)
1665 __GMP_DECLSPEC mp_size_t mpn_sec_sqr_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
1666 
1667 #define mpn_sec_powm __MPN(sec_powm)
1668 __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);
1669 #define mpn_sec_powm_itch __MPN(sec_powm_itch)
1670 __GMP_DECLSPEC mp_size_t mpn_sec_powm_itch (mp_size_t, mp_bitcnt_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
1671 
1672 #define mpn_sec_tabselect __MPN(sec_tabselect)
1673 __GMP_DECLSPEC void mpn_sec_tabselect (volatile mp_limb_t *, volatile const mp_limb_t *, mp_size_t, mp_size_t, mp_size_t);
1674 
1675 #define mpn_sec_div_qr __MPN(sec_div_qr)
1676 __GMP_DECLSPEC mp_limb_t mpn_sec_div_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
1677 #define mpn_sec_div_qr_itch __MPN(sec_div_qr_itch)
1678 __GMP_DECLSPEC mp_size_t mpn_sec_div_qr_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
1679 #define mpn_sec_div_r __MPN(sec_div_r)
1680 __GMP_DECLSPEC void mpn_sec_div_r (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
1681 #define mpn_sec_div_r_itch __MPN(sec_div_r_itch)
1682 __GMP_DECLSPEC mp_size_t mpn_sec_div_r_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
1683 
1684 #define mpn_sec_invert __MPN(sec_invert)
1685 __GMP_DECLSPEC int mpn_sec_invert (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_bitcnt_t, mp_ptr);
1686 #define mpn_sec_invert_itch __MPN(sec_invert_itch)
1687 __GMP_DECLSPEC mp_size_t mpn_sec_invert_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
1688 
1689 #define mpn_udiv_w_sdiv __MPN(udiv_w_sdiv)
1690 __GMP_DECLSPEC mp_limb_t mpn_udiv_w_sdiv (mp_limb_t *, mp_limb_t, mp_limb_t, mp_limb_t);
1691 
1692 
1693 /**************** mpz inlines ****************/
1694 
1695 /* The following are provided as inlines where possible, but always exist as
1696    library functions too, for binary compatibility.
1697 
1698    Within gmp itself this inlining generally isn't relied on, since it
1699    doesn't get done for all compilers, whereas if something is worth
1700    inlining then it's worth arranging always.
1701 
1702    There are two styles of inlining here.  When the same bit of code is
1703    wanted for the inline as for the library version, then __GMP_FORCE_foo
1704    arranges for that code to be emitted and the __GMP_EXTERN_INLINE
1705    directive suppressed, eg. mpz_fits_uint_p.  When a different bit of code
1706    is wanted for the inline than for the library version, then
1707    __GMP_FORCE_foo arranges the inline to be suppressed, eg. mpz_abs.  */
1708 
1709 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_abs)
1710 __GMP_EXTERN_INLINE void
1711 mpz_abs (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1712 {
1713   if (__gmp_w != __gmp_u)
1714     mpz_set (__gmp_w, __gmp_u);
1715   __gmp_w->_mp_size = __GMP_ABS (__gmp_w->_mp_size);
1716 }
1717 #endif
1718 
1719 #if GMP_NAIL_BITS == 0
1720 #define __GMPZ_FITS_UTYPE_P(z,maxval)					\
1721   mp_size_t  __gmp_n = z->_mp_size;					\
1722   mp_ptr  __gmp_p = z->_mp_d;						\
1723   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval));
1724 #else
1725 #define __GMPZ_FITS_UTYPE_P(z,maxval)					\
1726   mp_size_t  __gmp_n = z->_mp_size;					\
1727   mp_ptr  __gmp_p = z->_mp_d;						\
1728   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval)	\
1729 	  || (__gmp_n == 2 && __gmp_p[1] <= ((mp_limb_t) maxval >> GMP_NUMB_BITS)));
1730 #endif
1731 
1732 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_uint_p)
1733 #if ! defined (__GMP_FORCE_mpz_fits_uint_p)
1734 __GMP_EXTERN_INLINE
1735 #endif
1736 int
1737 mpz_fits_uint_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1738 {
1739   __GMPZ_FITS_UTYPE_P (__gmp_z, UINT_MAX);
1740 }
1741 #endif
1742 
1743 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ulong_p)
1744 #if ! defined (__GMP_FORCE_mpz_fits_ulong_p)
1745 __GMP_EXTERN_INLINE
1746 #endif
1747 int
1748 mpz_fits_ulong_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1749 {
1750   __GMPZ_FITS_UTYPE_P (__gmp_z, ULONG_MAX);
1751 }
1752 #endif
1753 
1754 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ushort_p)
1755 #if ! defined (__GMP_FORCE_mpz_fits_ushort_p)
1756 __GMP_EXTERN_INLINE
1757 #endif
1758 int
1759 mpz_fits_ushort_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1760 {
1761   __GMPZ_FITS_UTYPE_P (__gmp_z, USHRT_MAX);
1762 }
1763 #endif
1764 
1765 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_get_ui)
1766 #if ! defined (__GMP_FORCE_mpz_get_ui)
1767 __GMP_EXTERN_INLINE
1768 #endif
1769 unsigned long
1770 mpz_get_ui (mpz_srcptr __gmp_z) __GMP_NOTHROW
1771 {
1772   mp_ptr __gmp_p = __gmp_z->_mp_d;
1773   mp_size_t __gmp_n = __gmp_z->_mp_size;
1774   mp_limb_t __gmp_l = __gmp_p[0];
1775   /* This is a "#if" rather than a plain "if" so as to avoid gcc warnings
1776      about "<< GMP_NUMB_BITS" exceeding the type size, and to avoid Borland
1777      C++ 6.0 warnings about condition always true for something like
1778      "ULONG_MAX < GMP_NUMB_MASK".  */
1779 #if GMP_NAIL_BITS == 0 || defined (_LONG_LONG_LIMB)
1780   /* limb==long and no nails, or limb==longlong, one limb is enough */
1781   return (__gmp_n != 0 ? __gmp_l : 0);
1782 #else
1783   /* limb==long and nails, need two limbs when available */
1784   __gmp_n = __GMP_ABS (__gmp_n);
1785   if (__gmp_n <= 1)
1786     return (__gmp_n != 0 ? __gmp_l : 0);
1787   else
1788     return __gmp_l + (__gmp_p[1] << GMP_NUMB_BITS);
1789 #endif
1790 }
1791 #endif
1792 
1793 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_getlimbn)
1794 #if ! defined (__GMP_FORCE_mpz_getlimbn)
1795 __GMP_EXTERN_INLINE
1796 #endif
1797 mp_limb_t
1798 mpz_getlimbn (mpz_srcptr __gmp_z, mp_size_t __gmp_n) __GMP_NOTHROW
1799 {
1800   mp_limb_t  __gmp_result = 0;
1801   if (__GMP_LIKELY (__gmp_n >= 0 && __gmp_n < __GMP_ABS (__gmp_z->_mp_size)))
1802     __gmp_result = __gmp_z->_mp_d[__gmp_n];
1803   return __gmp_result;
1804 }
1805 #endif
1806 
1807 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_neg)
1808 __GMP_EXTERN_INLINE void
1809 mpz_neg (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1810 {
1811   if (__gmp_w != __gmp_u)
1812     mpz_set (__gmp_w, __gmp_u);
1813   __gmp_w->_mp_size = - __gmp_w->_mp_size;
1814 }
1815 #endif
1816 
1817 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_perfect_square_p)
1818 #if ! defined (__GMP_FORCE_mpz_perfect_square_p)
1819 __GMP_EXTERN_INLINE
1820 #endif
1821 int
1822 mpz_perfect_square_p (mpz_srcptr __gmp_a)
1823 {
1824   mp_size_t __gmp_asize;
1825   int       __gmp_result;
1826 
1827   __gmp_asize = __gmp_a->_mp_size;
1828   __gmp_result = (__gmp_asize >= 0);  /* zero is a square, negatives are not */
1829   if (__GMP_LIKELY (__gmp_asize > 0))
1830     __gmp_result = mpn_perfect_square_p (__gmp_a->_mp_d, __gmp_asize);
1831   return __gmp_result;
1832 }
1833 #endif
1834 
1835 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_popcount)
1836 #if ! defined (__GMP_FORCE_mpz_popcount)
1837 __GMP_EXTERN_INLINE
1838 #endif
1839 mp_bitcnt_t
1840 mpz_popcount (mpz_srcptr __gmp_u) __GMP_NOTHROW
1841 {
1842   mp_size_t      __gmp_usize;
1843   mp_bitcnt_t    __gmp_result;
1844 
1845   __gmp_usize = __gmp_u->_mp_size;
1846   __gmp_result = (__gmp_usize < 0 ? ULONG_MAX : 0);
1847   if (__GMP_LIKELY (__gmp_usize > 0))
1848     __gmp_result =  mpn_popcount (__gmp_u->_mp_d, __gmp_usize);
1849   return __gmp_result;
1850 }
1851 #endif
1852 
1853 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_set_q)
1854 #if ! defined (__GMP_FORCE_mpz_set_q)
1855 __GMP_EXTERN_INLINE
1856 #endif
1857 void
1858 mpz_set_q (mpz_ptr __gmp_w, mpq_srcptr __gmp_u)
1859 {
1860   mpz_tdiv_q (__gmp_w, mpq_numref (__gmp_u), mpq_denref (__gmp_u));
1861 }
1862 #endif
1863 
1864 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_size)
1865 #if ! defined (__GMP_FORCE_mpz_size)
1866 __GMP_EXTERN_INLINE
1867 #endif
1868 size_t
1869 mpz_size (mpz_srcptr __gmp_z) __GMP_NOTHROW
1870 {
1871   return __GMP_ABS (__gmp_z->_mp_size);
1872 }
1873 #endif
1874 
1875 
1876 /**************** mpq inlines ****************/
1877 
1878 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_abs)
1879 __GMP_EXTERN_INLINE void
1880 mpq_abs (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1881 {
1882   if (__gmp_w != __gmp_u)
1883     mpq_set (__gmp_w, __gmp_u);
1884   __gmp_w->_mp_num._mp_size = __GMP_ABS (__gmp_w->_mp_num._mp_size);
1885 }
1886 #endif
1887 
1888 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_neg)
1889 __GMP_EXTERN_INLINE void
1890 mpq_neg (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1891 {
1892   if (__gmp_w != __gmp_u)
1893     mpq_set (__gmp_w, __gmp_u);
1894   __gmp_w->_mp_num._mp_size = - __gmp_w->_mp_num._mp_size;
1895 }
1896 #endif
1897 
1898 
1899 /**************** mpn inlines ****************/
1900 
1901 /* The comments with __GMPN_ADD_1 below apply here too.
1902 
1903    The test for FUNCTION returning 0 should predict well.  If it's assumed
1904    {yp,ysize} will usually have a random number of bits then the high limb
1905    won't be full and a carry out will occur a good deal less than 50% of the
1906    time.
1907 
1908    ysize==0 isn't a documented feature, but is used internally in a few
1909    places.
1910 
1911    Producing cout last stops it using up a register during the main part of
1912    the calculation, though gcc (as of 3.0) on an "if (mpn_add (...))"
1913    doesn't seem able to move the true and false legs of the conditional up
1914    to the two places cout is generated.  */
1915 
1916 #define __GMPN_AORS(cout, wp, xp, xsize, yp, ysize, FUNCTION, TEST)     \
1917   do {                                                                  \
1918     mp_size_t  __gmp_i;                                                 \
1919     mp_limb_t  __gmp_x;                                                 \
1920                                                                         \
1921     /* ASSERT ((ysize) >= 0); */                                        \
1922     /* ASSERT ((xsize) >= (ysize)); */                                  \
1923     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, xp, xsize)); */      \
1924     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, yp, ysize)); */      \
1925                                                                         \
1926     __gmp_i = (ysize);                                                  \
1927     if (__gmp_i != 0)                                                   \
1928       {                                                                 \
1929         if (FUNCTION (wp, xp, yp, __gmp_i))                             \
1930           {                                                             \
1931             do                                                          \
1932               {                                                         \
1933                 if (__gmp_i >= (xsize))                                 \
1934                   {                                                     \
1935                     (cout) = 1;                                         \
1936                     goto __gmp_done;                                    \
1937                   }                                                     \
1938                 __gmp_x = (xp)[__gmp_i];                                \
1939               }                                                         \
1940             while (TEST);                                               \
1941           }                                                             \
1942       }                                                                 \
1943     if ((wp) != (xp))                                                   \
1944       __GMPN_COPY_REST (wp, xp, xsize, __gmp_i);                        \
1945     (cout) = 0;                                                         \
1946   __gmp_done:                                                           \
1947     ;                                                                   \
1948   } while (0)
1949 
1950 #define __GMPN_ADD(cout, wp, xp, xsize, yp, ysize)              \
1951   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_add_n,       \
1952                (((wp)[__gmp_i++] = (__gmp_x + 1) & GMP_NUMB_MASK) == 0))
1953 #define __GMPN_SUB(cout, wp, xp, xsize, yp, ysize)              \
1954   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_sub_n,       \
1955                (((wp)[__gmp_i++] = (__gmp_x - 1) & GMP_NUMB_MASK), __gmp_x == 0))
1956 
1957 
1958 /* The use of __gmp_i indexing is designed to ensure a compile time src==dst
1959    remains nice and clear to the compiler, so that __GMPN_COPY_REST can
1960    disappear, and the load/add/store gets a chance to become a
1961    read-modify-write on CISC CPUs.
1962 
1963    Alternatives:
1964 
1965    Using a pair of pointers instead of indexing would be possible, but gcc
1966    isn't able to recognise compile-time src==dst in that case, even when the
1967    pointers are incremented more or less together.  Other compilers would
1968    very likely have similar difficulty.
1969 
1970    gcc could use "if (__builtin_constant_p(src==dst) && src==dst)" or
1971    similar to detect a compile-time src==dst.  This works nicely on gcc
1972    2.95.x, it's not good on gcc 3.0 where __builtin_constant_p(p==p) seems
1973    to be always false, for a pointer p.  But the current code form seems
1974    good enough for src==dst anyway.
1975 
1976    gcc on x86 as usual doesn't give particularly good flags handling for the
1977    carry/borrow detection.  It's tempting to want some multi instruction asm
1978    blocks to help it, and this was tried, but in truth there's only a few
1979    instructions to save and any gain is all too easily lost by register
1980    juggling setting up for the asm.  */
1981 
1982 #if GMP_NAIL_BITS == 0
1983 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
1984   do {								\
1985     mp_size_t  __gmp_i;						\
1986     mp_limb_t  __gmp_x, __gmp_r;                                \
1987 								\
1988     /* ASSERT ((n) >= 1); */					\
1989     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
1990 								\
1991     __gmp_x = (src)[0];						\
1992     __gmp_r = __gmp_x OP (v);                                   \
1993     (dst)[0] = __gmp_r;						\
1994     if (CB (__gmp_r, __gmp_x, (v)))                             \
1995       {								\
1996 	(cout) = 1;						\
1997 	for (__gmp_i = 1; __gmp_i < (n);)                       \
1998 	  {							\
1999 	    __gmp_x = (src)[__gmp_i];                           \
2000 	    __gmp_r = __gmp_x OP 1;                             \
2001 	    (dst)[__gmp_i] = __gmp_r;                           \
2002 	    ++__gmp_i;						\
2003 	    if (!CB (__gmp_r, __gmp_x, 1))                      \
2004 	      {							\
2005 		if ((src) != (dst))				\
2006 		  __GMPN_COPY_REST (dst, src, n, __gmp_i);      \
2007 		(cout) = 0;					\
2008 		break;						\
2009 	      }							\
2010 	  }							\
2011       }								\
2012     else							\
2013       {								\
2014 	if ((src) != (dst))					\
2015 	  __GMPN_COPY_REST (dst, src, n, 1);			\
2016 	(cout) = 0;						\
2017       }								\
2018   } while (0)
2019 #endif
2020 
2021 #if GMP_NAIL_BITS >= 1
2022 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
2023   do {								\
2024     mp_size_t  __gmp_i;						\
2025     mp_limb_t  __gmp_x, __gmp_r;				\
2026 								\
2027     /* ASSERT ((n) >= 1); */					\
2028     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
2029 								\
2030     __gmp_x = (src)[0];						\
2031     __gmp_r = __gmp_x OP (v);					\
2032     (dst)[0] = __gmp_r & GMP_NUMB_MASK;				\
2033     if (__gmp_r >> GMP_NUMB_BITS != 0)				\
2034       {								\
2035 	(cout) = 1;						\
2036 	for (__gmp_i = 1; __gmp_i < (n);)			\
2037 	  {							\
2038 	    __gmp_x = (src)[__gmp_i];				\
2039 	    __gmp_r = __gmp_x OP 1;				\
2040 	    (dst)[__gmp_i] = __gmp_r & GMP_NUMB_MASK;		\
2041 	    ++__gmp_i;						\
2042 	    if (__gmp_r >> GMP_NUMB_BITS == 0)			\
2043 	      {							\
2044 		if ((src) != (dst))				\
2045 		  __GMPN_COPY_REST (dst, src, n, __gmp_i);	\
2046 		(cout) = 0;					\
2047 		break;						\
2048 	      }							\
2049 	  }							\
2050       }								\
2051     else							\
2052       {								\
2053 	if ((src) != (dst))					\
2054 	  __GMPN_COPY_REST (dst, src, n, 1);			\
2055 	(cout) = 0;						\
2056       }								\
2057   } while (0)
2058 #endif
2059 
2060 #define __GMPN_ADDCB(r,x,y) ((r) < (y))
2061 #define __GMPN_SUBCB(r,x,y) ((x) < (y))
2062 
2063 #define __GMPN_ADD_1(cout, dst, src, n, v)	     \
2064   __GMPN_AORS_1(cout, dst, src, n, v, +, __GMPN_ADDCB)
2065 #define __GMPN_SUB_1(cout, dst, src, n, v)	     \
2066   __GMPN_AORS_1(cout, dst, src, n, v, -, __GMPN_SUBCB)
2067 
2068 
2069 /* Compare {xp,size} and {yp,size}, setting "result" to positive, zero or
2070    negative.  size==0 is allowed.  On random data usually only one limb will
2071    need to be examined to get a result, so it's worth having it inline.  */
2072 #define __GMPN_CMP(result, xp, yp, size)                                \
2073   do {                                                                  \
2074     mp_size_t  __gmp_i;                                                 \
2075     mp_limb_t  __gmp_x, __gmp_y;                                        \
2076                                                                         \
2077     /* ASSERT ((size) >= 0); */                                         \
2078                                                                         \
2079     (result) = 0;                                                       \
2080     __gmp_i = (size);                                                   \
2081     while (--__gmp_i >= 0)                                              \
2082       {                                                                 \
2083         __gmp_x = (xp)[__gmp_i];                                        \
2084         __gmp_y = (yp)[__gmp_i];                                        \
2085         if (__gmp_x != __gmp_y)                                         \
2086           {                                                             \
2087             /* Cannot use __gmp_x - __gmp_y, may overflow an "int" */   \
2088             (result) = (__gmp_x > __gmp_y ? 1 : -1);                    \
2089             break;                                                      \
2090           }                                                             \
2091       }                                                                 \
2092   } while (0)
2093 
2094 
2095 #if defined (__GMPN_COPY) && ! defined (__GMPN_COPY_REST)
2096 #define __GMPN_COPY_REST(dst, src, size, start)                 \
2097   do {                                                          \
2098     /* ASSERT ((start) >= 0); */                                \
2099     /* ASSERT ((start) <= (size)); */                           \
2100     __GMPN_COPY ((dst)+(start), (src)+(start), (size)-(start)); \
2101   } while (0)
2102 #endif
2103 
2104 /* Copy {src,size} to {dst,size}, starting at "start".  This is designed to
2105    keep the indexing dst[j] and src[j] nice and simple for __GMPN_ADD_1,
2106    __GMPN_ADD, etc.  */
2107 #if ! defined (__GMPN_COPY_REST)
2108 #define __GMPN_COPY_REST(dst, src, size, start)                 \
2109   do {                                                          \
2110     mp_size_t __gmp_j;                                          \
2111     /* ASSERT ((size) >= 0); */                                 \
2112     /* ASSERT ((start) >= 0); */                                \
2113     /* ASSERT ((start) <= (size)); */                           \
2114     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */     \
2115     __GMP_CRAY_Pragma ("_CRI ivdep");                           \
2116     for (__gmp_j = (start); __gmp_j < (size); __gmp_j++)        \
2117       (dst)[__gmp_j] = (src)[__gmp_j];                          \
2118   } while (0)
2119 #endif
2120 
2121 /* Enhancement: Use some of the smarter code from gmp-impl.h.  Maybe use
2122    mpn_copyi if there's a native version, and if we don't mind demanding
2123    binary compatibility for it (on targets which use it).  */
2124 
2125 #if ! defined (__GMPN_COPY)
2126 #define __GMPN_COPY(dst, src, size)   __GMPN_COPY_REST (dst, src, size, 0)
2127 #endif
2128 
2129 
2130 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add)
2131 #if ! defined (__GMP_FORCE_mpn_add)
2132 __GMP_EXTERN_INLINE
2133 #endif
2134 mp_limb_t
2135 mpn_add (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2136 {
2137   mp_limb_t  __gmp_c;
2138   __GMPN_ADD (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2139   return __gmp_c;
2140 }
2141 #endif
2142 
2143 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add_1)
2144 #if ! defined (__GMP_FORCE_mpn_add_1)
2145 __GMP_EXTERN_INLINE
2146 #endif
2147 mp_limb_t
2148 mpn_add_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2149 {
2150   mp_limb_t  __gmp_c;
2151   __GMPN_ADD_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2152   return __gmp_c;
2153 }
2154 #endif
2155 
2156 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_cmp)
2157 #if ! defined (__GMP_FORCE_mpn_cmp)
2158 __GMP_EXTERN_INLINE
2159 #endif
2160 int
2161 mpn_cmp (mp_srcptr __gmp_xp, mp_srcptr __gmp_yp, mp_size_t __gmp_size) __GMP_NOTHROW
2162 {
2163   int __gmp_result;
2164   __GMPN_CMP (__gmp_result, __gmp_xp, __gmp_yp, __gmp_size);
2165   return __gmp_result;
2166 }
2167 #endif
2168 
2169 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_zero_p)
2170 #if ! defined (__GMP_FORCE_mpn_zero_p)
2171 __GMP_EXTERN_INLINE
2172 #endif
2173 int
2174 mpn_zero_p (mp_srcptr __gmp_p, mp_size_t __gmp_n) __GMP_NOTHROW
2175 {
2176   /* if (__GMP_LIKELY (__gmp_n > 0)) */
2177     do {
2178       if (__gmp_p[--__gmp_n] != 0)
2179 	return 0;
2180     } while (__gmp_n != 0);
2181   return 1;
2182 }
2183 #endif
2184 
2185 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub)
2186 #if ! defined (__GMP_FORCE_mpn_sub)
2187 __GMP_EXTERN_INLINE
2188 #endif
2189 mp_limb_t
2190 mpn_sub (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2191 {
2192   mp_limb_t  __gmp_c;
2193   __GMPN_SUB (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2194   return __gmp_c;
2195 }
2196 #endif
2197 
2198 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub_1)
2199 #if ! defined (__GMP_FORCE_mpn_sub_1)
2200 __GMP_EXTERN_INLINE
2201 #endif
2202 mp_limb_t
2203 mpn_sub_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2204 {
2205   mp_limb_t  __gmp_c;
2206   __GMPN_SUB_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2207   return __gmp_c;
2208 }
2209 #endif
2210 
2211 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_neg)
2212 #if ! defined (__GMP_FORCE_mpn_neg)
2213 __GMP_EXTERN_INLINE
2214 #endif
2215 mp_limb_t
2216 mpn_neg (mp_ptr __gmp_rp, mp_srcptr __gmp_up, mp_size_t __gmp_n)
2217 {
2218   while (*__gmp_up == 0) /* Low zero limbs are unchanged by negation. */
2219     {
2220       *__gmp_rp = 0;
2221       if (!--__gmp_n) /* All zero */
2222 	return 0;
2223       ++__gmp_up; ++__gmp_rp;
2224     }
2225 
2226   *__gmp_rp = (- *__gmp_up) & GMP_NUMB_MASK;
2227 
2228   if (--__gmp_n) /* Higher limbs get complemented. */
2229     mpn_com (++__gmp_rp, ++__gmp_up, __gmp_n);
2230 
2231   return 1;
2232 }
2233 #endif
2234 
2235 #if defined (__cplusplus)
2236 }
2237 #endif
2238 
2239 
2240 /* Allow faster testing for negative, zero, and positive.  */
2241 #define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0)
2242 #define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0)
2243 #define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0)
2244 
2245 /* When using GCC, optimize certain common comparisons.  */
2246 #if defined (__GNUC__) && __GNUC__ >= 2
2247 #define mpz_cmp_ui(Z,UI) \
2248   (__builtin_constant_p (UI) && (UI) == 0				\
2249    ? mpz_sgn (Z) : _mpz_cmp_ui (Z,UI))
2250 #define mpz_cmp_si(Z,SI)						\
2251   (__builtin_constant_p ((SI) >= 0) && (SI) >= 0			\
2252    ? mpz_cmp_ui (Z, __GMP_CAST (unsigned long, SI))			\
2253    : _mpz_cmp_si (Z,SI))
2254 #define mpq_cmp_ui(Q,NUI,DUI)					\
2255   (__builtin_constant_p (NUI) && (NUI) == 0 ? mpq_sgn (Q)	\
2256    : __builtin_constant_p ((NUI) == (DUI)) && (NUI) == (DUI)	\
2257    ? mpz_cmp (mpq_numref (Q), mpq_denref (Q))			\
2258    : _mpq_cmp_ui (Q,NUI,DUI))
2259 #define mpq_cmp_si(q,n,d)				\
2260   (__builtin_constant_p ((n) >= 0) && (n) >= 0		\
2261    ? mpq_cmp_ui (q, __GMP_CAST (unsigned long, n), d)	\
2262    : _mpq_cmp_si (q, n, d))
2263 #else
2264 #define mpz_cmp_ui(Z,UI) _mpz_cmp_ui (Z,UI)
2265 #define mpz_cmp_si(Z,UI) _mpz_cmp_si (Z,UI)
2266 #define mpq_cmp_ui(Q,NUI,DUI) _mpq_cmp_ui (Q,NUI,DUI)
2267 #define mpq_cmp_si(q,n,d)  _mpq_cmp_si(q,n,d)
2268 #endif
2269 
2270 
2271 /* Using "&" rather than "&&" means these can come out branch-free.  Every
2272    mpz_t has at least one limb allocated, so fetching the low limb is always
2273    allowed.  */
2274 #define mpz_odd_p(z)   (((z)->_mp_size != 0) & __GMP_CAST (int, (z)->_mp_d[0]))
2275 #define mpz_even_p(z)  (! mpz_odd_p (z))
2276 
2277 
2278 /**************** C++ routines ****************/
2279 
2280 #ifdef __cplusplus
2281 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpz_srcptr);
2282 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpq_srcptr);
2283 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpf_srcptr);
2284 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpz_ptr);
2285 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpq_ptr);
2286 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpf_ptr);
2287 #endif
2288 
2289 
2290 /* Source-level compatibility with GMP 2 and earlier. */
2291 #define mpn_divmod(qp,np,nsize,dp,dsize) \
2292   mpn_divrem (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dp, dsize)
2293 
2294 /* Source-level compatibility with GMP 1.  */
2295 #define mpz_mdiv	mpz_fdiv_q
2296 #define mpz_mdivmod	mpz_fdiv_qr
2297 #define mpz_mmod	mpz_fdiv_r
2298 #define mpz_mdiv_ui	mpz_fdiv_q_ui
2299 #define mpz_mdivmod_ui(q,r,n,d) \
2300   (((r) == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d))
2301 #define mpz_mmod_ui(r,n,d) \
2302   (((r) == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d))
2303 
2304 /* Useful synonyms, but not quite compatible with GMP 1.  */
2305 #define mpz_div		mpz_fdiv_q
2306 #define mpz_divmod	mpz_fdiv_qr
2307 #define mpz_div_ui	mpz_fdiv_q_ui
2308 #define mpz_divmod_ui	mpz_fdiv_qr_ui
2309 #define mpz_div_2exp	mpz_fdiv_q_2exp
2310 #define mpz_mod_2exp	mpz_fdiv_r_2exp
2311 
2312 enum
2313 {
2314   GMP_ERROR_NONE = 0,
2315   GMP_ERROR_UNSUPPORTED_ARGUMENT = 1,
2316   GMP_ERROR_DIVISION_BY_ZERO = 2,
2317   GMP_ERROR_SQRT_OF_NEGATIVE = 4,
2318   GMP_ERROR_INVALID_ARGUMENT = 8
2319 };
2320 
2321 /* Define CC and CFLAGS which were used to build this version of GMP */
2322 #define __GMP_CC "gcc"
2323 #define __GMP_CFLAGS "-O2 -pedantic -fomit-frame-pointer"
2324 
2325 /* Major version number is the value of __GNU_MP__ too, above. */
2326 #define __GNU_MP_VERSION            6
2327 #define __GNU_MP_VERSION_MINOR      1
2328 #define __GNU_MP_VERSION_PATCHLEVEL 2
2329 #define __GNU_MP_RELEASE (__GNU_MP_VERSION * 10000 + __GNU_MP_VERSION_MINOR * 100 + __GNU_MP_VERSION_PATCHLEVEL)
2330 
2331 #define __GMP_H__
2332 #endif /* __GMP_H__ */
2333