xref: /minix/external/lgpl3/gmp/lib/libgmp/arch/arm/gmp.h (revision 84d9c625)
1 /* Definitions for GNU multiple precision functions.   -*- mode: c -*-
2 
3 Copyright 1991, 1993, 1994, 1995, 1996, 1997, 1999, 2000, 2001, 2002,
4 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012 Free
5 Software Foundation, Inc.
6 
7 This file is part of the GNU MP Library.
8 
9 The GNU MP Library is free software; you can redistribute it and/or modify
10 it under the terms of the GNU Lesser General Public License as published by
11 the Free Software Foundation; either version 3 of the License, or (at your
12 option) any later version.
13 
14 The GNU MP Library is distributed in the hope that it will be useful, but
15 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
16 or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
17 License for more details.
18 
19 You should have received a copy of the GNU Lesser General Public License
20 along with the GNU MP Library.  If not, see http://www.gnu.org/licenses/.  */
21 
22 #ifndef __GMP_H__
23 
24 #if defined (__cplusplus)
25 #include <iosfwd>   /* for std::istream, std::ostream, std::string */
26 #include <cstdio>
27 #endif
28 
29 
30 /* Instantiated by configure. */
31 #if ! defined (__GMP_WITHIN_CONFIGURE)
32 #define __GMP_HAVE_HOST_CPU_FAMILY_power   0
33 #define __GMP_HAVE_HOST_CPU_FAMILY_powerpc 0
34 #define GMP_LIMB_BITS                      32
35 #define GMP_NAIL_BITS                      0
36 #endif
37 #define GMP_NUMB_BITS     (GMP_LIMB_BITS - GMP_NAIL_BITS)
38 #define GMP_NUMB_MASK     ((~ __GMP_CAST (mp_limb_t, 0)) >> GMP_NAIL_BITS)
39 #define GMP_NUMB_MAX      GMP_NUMB_MASK
40 #define GMP_NAIL_MASK     (~ GMP_NUMB_MASK)
41 
42 
43 /* The following (everything under ifndef __GNU_MP__) must be identical in
44    gmp.h and mp.h to allow both to be included in an application or during
45    the library build.  */
46 #ifndef __GNU_MP__
47 #define __GNU_MP__ 5
48 
49 #define __need_size_t  /* tell gcc stddef.h we only want size_t */
50 #if defined (__cplusplus)
51 #include <cstddef>     /* for size_t */
52 #else
53 #include <stddef.h>    /* for size_t */
54 #endif
55 #undef __need_size_t
56 
57 /* Instantiated by configure. */
58 #if ! defined (__GMP_WITHIN_CONFIGURE)
59 /* #undef _LONG_LONG_LIMB */
60 #define __GMP_LIBGMP_DLL  0
61 #endif
62 
63 
64 /* __GMP_DECLSPEC supports Windows DLL versions of libgmp, and is empty in
65    all other circumstances.
66 
67    When compiling objects for libgmp, __GMP_DECLSPEC is an export directive,
68    or when compiling for an application it's an import directive.  The two
69    cases are differentiated by __GMP_WITHIN_GMP defined by the GMP Makefiles
70    (and not defined from an application).
71 
72    __GMP_DECLSPEC_XX is similarly used for libgmpxx.  __GMP_WITHIN_GMPXX
73    indicates when building libgmpxx, and in that case libgmpxx functions are
74    exports, but libgmp functions which might get called are imports.
75 
76    Libtool DLL_EXPORT define is not used.
77 
78    There's no attempt to support GMP built both static and DLL.  Doing so
79    would mean applications would have to tell us which of the two is going
80    to be used when linking, and that seems very tedious and error prone if
81    using GMP by hand, and equally tedious from a package since autoconf and
82    automake don't give much help.
83 
84    __GMP_DECLSPEC is required on all documented global functions and
85    variables, the various internals in gmp-impl.h etc can be left unadorned.
86    But internals used by the test programs or speed measuring programs
87    should have __GMP_DECLSPEC, and certainly constants or variables must
88    have it or the wrong address will be resolved.
89 
90    In gcc __declspec can go at either the start or end of a prototype.
91 
92    In Microsoft C __declspec must go at the start, or after the type like
93    void __declspec(...) *foo()".  There's no __dllexport or anything to
94    guard against someone foolish #defining dllexport.  _export used to be
95    available, but no longer.
96 
97    In Borland C _export still exists, but needs to go after the type, like
98    "void _export foo();".  Would have to change the __GMP_DECLSPEC syntax to
99    make use of that.  Probably more trouble than it's worth.  */
100 
101 #if defined (__GNUC__)
102 #define __GMP_DECLSPEC_EXPORT  __declspec(__dllexport__)
103 #define __GMP_DECLSPEC_IMPORT  __declspec(__dllimport__)
104 #endif
105 #if defined (_MSC_VER) || defined (__BORLANDC__)
106 #define __GMP_DECLSPEC_EXPORT  __declspec(dllexport)
107 #define __GMP_DECLSPEC_IMPORT  __declspec(dllimport)
108 #endif
109 #ifdef __WATCOMC__
110 #define __GMP_DECLSPEC_EXPORT  __export
111 #define __GMP_DECLSPEC_IMPORT  __import
112 #endif
113 #ifdef __IBMC__
114 #define __GMP_DECLSPEC_EXPORT  _Export
115 #define __GMP_DECLSPEC_IMPORT  _Import
116 #endif
117 
118 #if __GMP_LIBGMP_DLL
119 #ifdef __GMP_WITHIN_GMP
120 /* compiling to go into a DLL libgmp */
121 #define __GMP_DECLSPEC  __GMP_DECLSPEC_EXPORT
122 #else
123 /* compiling to go into an application which will link to a DLL libgmp */
124 #define __GMP_DECLSPEC  __GMP_DECLSPEC_IMPORT
125 #endif
126 #else
127 /* all other cases */
128 #define __GMP_DECLSPEC
129 #endif
130 
131 
132 #ifdef __GMP_SHORT_LIMB
133 typedef unsigned int		mp_limb_t;
134 typedef int			mp_limb_signed_t;
135 #else
136 #ifdef _LONG_LONG_LIMB
137 typedef unsigned long long int	mp_limb_t;
138 typedef long long int		mp_limb_signed_t;
139 #else
140 typedef unsigned long int	mp_limb_t;
141 typedef long int		mp_limb_signed_t;
142 #endif
143 #endif
144 typedef unsigned long int	mp_bitcnt_t;
145 
146 /* For reference, note that the name __mpz_struct gets into C++ mangled
147    function names, which means although the "__" suggests an internal, we
148    must leave this name for binary compatibility.  */
149 typedef struct
150 {
151   int _mp_alloc;		/* Number of *limbs* allocated and pointed
152 				   to by the _mp_d field.  */
153   int _mp_size;			/* abs(_mp_size) is the number of limbs the
154 				   last field points to.  If _mp_size is
155 				   negative this is a negative number.  */
156   mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
157 } __mpz_struct;
158 
159 #endif /* __GNU_MP__ */
160 
161 
162 typedef __mpz_struct MP_INT;    /* gmp 1 source compatibility */
163 typedef __mpz_struct mpz_t[1];
164 
165 typedef mp_limb_t *		mp_ptr;
166 typedef const mp_limb_t *	mp_srcptr;
167 #if defined (_CRAY) && ! defined (_CRAYMPP)
168 /* plain `int' is much faster (48 bits) */
169 #define __GMP_MP_SIZE_T_INT     1
170 typedef int			mp_size_t;
171 typedef int			mp_exp_t;
172 #else
173 #define __GMP_MP_SIZE_T_INT     0
174 typedef long int		mp_size_t;
175 typedef long int		mp_exp_t;
176 #endif
177 
178 typedef struct
179 {
180   __mpz_struct _mp_num;
181   __mpz_struct _mp_den;
182 } __mpq_struct;
183 
184 typedef __mpq_struct MP_RAT;    /* gmp 1 source compatibility */
185 typedef __mpq_struct mpq_t[1];
186 
187 typedef struct
188 {
189   int _mp_prec;			/* Max precision, in number of `mp_limb_t's.
190 				   Set by mpf_init and modified by
191 				   mpf_set_prec.  The area pointed to by the
192 				   _mp_d field contains `prec' + 1 limbs.  */
193   int _mp_size;			/* abs(_mp_size) is the number of limbs the
194 				   last field points to.  If _mp_size is
195 				   negative this is a negative number.  */
196   mp_exp_t _mp_exp;		/* Exponent, in the base of `mp_limb_t'.  */
197   mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
198 } __mpf_struct;
199 
200 /* typedef __mpf_struct MP_FLOAT; */
201 typedef __mpf_struct mpf_t[1];
202 
203 /* Available random number generation algorithms.  */
204 typedef enum
205 {
206   GMP_RAND_ALG_DEFAULT = 0,
207   GMP_RAND_ALG_LC = GMP_RAND_ALG_DEFAULT /* Linear congruential.  */
208 } gmp_randalg_t;
209 
210 /* Random state struct.  */
211 typedef struct
212 {
213   mpz_t _mp_seed;	  /* _mp_d member points to state of the generator. */
214   gmp_randalg_t _mp_alg;  /* Currently unused. */
215   union {
216     void *_mp_lc;         /* Pointer to function pointers structure.  */
217   } _mp_algdata;
218 } __gmp_randstate_struct;
219 typedef __gmp_randstate_struct gmp_randstate_t[1];
220 
221 /* Types for function declarations in gmp files.  */
222 /* ??? Should not pollute user name space with these ??? */
223 typedef const __mpz_struct *mpz_srcptr;
224 typedef __mpz_struct *mpz_ptr;
225 typedef const __mpf_struct *mpf_srcptr;
226 typedef __mpf_struct *mpf_ptr;
227 typedef const __mpq_struct *mpq_srcptr;
228 typedef __mpq_struct *mpq_ptr;
229 
230 
231 /* This is not wanted in mp.h, so put it outside the __GNU_MP__ common
232    section. */
233 #if __GMP_LIBGMP_DLL
234 #ifdef __GMP_WITHIN_GMPXX
235 /* compiling to go into a DLL libgmpxx */
236 #define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_EXPORT
237 #else
238 /* compiling to go into a application which will link to a DLL libgmpxx */
239 #define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_IMPORT
240 #endif
241 #else
242 /* all other cases */
243 #define __GMP_DECLSPEC_XX
244 #endif
245 
246 
247 #ifndef __MPN
248 #define __MPN(x) __gmpn_##x
249 #endif
250 
251 /* For reference, "defined(EOF)" cannot be used here.  In g++ 2.95.4,
252    <iostream> defines EOF but not FILE.  */
253 #if defined (FILE)                                              \
254   || defined (H_STDIO)                                          \
255   || defined (_H_STDIO)               /* AIX */                 \
256   || defined (_STDIO_H)               /* glibc, Sun, SCO */     \
257   || defined (_STDIO_H_)              /* BSD, OSF */            \
258   || defined (__STDIO_H)              /* Borland */             \
259   || defined (__STDIO_H__)            /* IRIX */                \
260   || defined (_STDIO_INCLUDED)        /* HPUX */                \
261   || defined (__dj_include_stdio_h_)  /* DJGPP */               \
262   || defined (_FILE_DEFINED)          /* Microsoft */           \
263   || defined (__STDIO__)              /* Apple MPW MrC */       \
264   || defined (_MSL_STDIO_H)           /* Metrowerks */          \
265   || defined (_STDIO_H_INCLUDED)      /* QNX4 */		\
266   || defined (_ISO_STDIO_ISO_H)       /* Sun C++ */		\
267   || defined (__STDIO_LOADED)         /* VMS */
268 #define _GMP_H_HAVE_FILE 1
269 #endif
270 
271 /* In ISO C, if a prototype involving "struct obstack *" is given without
272    that structure defined, then the struct is scoped down to just the
273    prototype, causing a conflict if it's subsequently defined for real.  So
274    only give prototypes if we've got obstack.h.  */
275 #if defined (_OBSTACK_H)   /* glibc <obstack.h> */
276 #define _GMP_H_HAVE_OBSTACK 1
277 #endif
278 
279 /* The prototypes for gmp_vprintf etc are provided only if va_list is
280    available, via an application having included <stdarg.h> or <varargs.h>.
281    Usually va_list is a typedef so can't be tested directly, but C99
282    specifies that va_start is a macro (and it was normally a macro on past
283    systems too), so look for that.
284 
285    <stdio.h> will define some sort of va_list for vprintf and vfprintf, but
286    let's not bother trying to use that since it's not standard and since
287    application uses for gmp_vprintf etc will almost certainly require the
288    whole <stdarg.h> or <varargs.h> anyway.  */
289 
290 #ifdef va_start
291 #define _GMP_H_HAVE_VA_LIST 1
292 #endif
293 
294 /* Test for gcc >= maj.min, as per __GNUC_PREREQ in glibc */
295 #if defined (__GNUC__) && defined (__GNUC_MINOR__)
296 #define __GMP_GNUC_PREREQ(maj, min) \
297   ((__GNUC__ << 16) + __GNUC_MINOR__ >= ((maj) << 16) + (min))
298 #else
299 #define __GMP_GNUC_PREREQ(maj, min)  0
300 #endif
301 
302 /* "pure" is in gcc 2.96 and up, see "(gcc)Function Attributes".  Basically
303    it means a function does nothing but examine its arguments and memory
304    (global or via arguments) to generate a return value, but changes nothing
305    and has no side-effects.  __GMP_NO_ATTRIBUTE_CONST_PURE lets
306    tune/common.c etc turn this off when trying to write timing loops.  */
307 #if __GMP_GNUC_PREREQ (2,96) && ! defined (__GMP_NO_ATTRIBUTE_CONST_PURE)
308 #define __GMP_ATTRIBUTE_PURE   __attribute__ ((__pure__))
309 #else
310 #define __GMP_ATTRIBUTE_PURE
311 #endif
312 
313 
314 /* __GMP_CAST allows us to use static_cast in C++, so our macros are clean
315    to "g++ -Wold-style-cast".
316 
317    Casts in "extern inline" code within an extern "C" block don't induce
318    these warnings, so __GMP_CAST only needs to be used on documented
319    macros.  */
320 
321 #ifdef __cplusplus
322 #define __GMP_CAST(type, expr)  (static_cast<type> (expr))
323 #else
324 #define __GMP_CAST(type, expr)  ((type) (expr))
325 #endif
326 
327 
328 /* An empty "throw ()" means the function doesn't throw any C++ exceptions,
329    this can save some stack frame info in applications.
330 
331    Currently it's given only on functions which never divide-by-zero etc,
332    don't allocate memory, and are expected to never need to allocate memory.
333    This leaves open the possibility of a C++ throw from a future GMP
334    exceptions scheme.
335 
336    mpz_set_ui etc are omitted to leave open the lazy allocation scheme
337    described in doc/tasks.html.  mpz_get_d etc are omitted to leave open
338    exceptions for float overflows.
339 
340    Note that __GMP_NOTHROW must be given on any inlines the same as on their
341    prototypes (for g++ at least, where they're used together).  Note also
342    that g++ 3.0 demands that __GMP_NOTHROW is before other attributes like
343    __GMP_ATTRIBUTE_PURE.  */
344 
345 #if defined (__cplusplus)
346 #define __GMP_NOTHROW  throw ()
347 #else
348 #define __GMP_NOTHROW
349 #endif
350 
351 
352 /* PORTME: What other compilers have a useful "extern inline"?  "static
353    inline" would be an acceptable substitute if the compiler (or linker)
354    discards unused statics.  */
355 
356  /* gcc has __inline__ in all modes, including strict ansi.  Give a prototype
357     for an inline too, so as to correctly specify "dllimport" on windows, in
358     case the function is called rather than inlined.
359     GCC 4.3 and above with -std=c99 or -std=gnu99 implements ISO C99
360     inline semantics, unless -fgnu89-inline is used.  */
361 #ifdef __GNUC__
362 #if (defined __GNUC_STDC_INLINE__) || (__GNUC__ == 4 && __GNUC_MINOR__ == 2) \
363   || (defined __GNUC_GNU_INLINE__ && defined __cplusplus)
364 #define __GMP_EXTERN_INLINE extern __inline__ __attribute__ ((__gnu_inline__))
365 #else
366 #define __GMP_EXTERN_INLINE      extern __inline__
367 #endif
368 #define __GMP_INLINE_PROTOTYPES  1
369 #endif
370 
371 /* DEC C (eg. version 5.9) supports "static __inline foo()", even in -std1
372    strict ANSI mode.  Inlining is done even when not optimizing (ie. -O0
373    mode, which is the default), but an unnecessary local copy of foo is
374    emitted unless -O is used.  "extern __inline" is accepted, but the
375    "extern" appears to be ignored, ie. it becomes a plain global function
376    but which is inlined within its file.  Don't know if all old versions of
377    DEC C supported __inline, but as a start let's do the right thing for
378    current versions.  */
379 #ifdef __DECC
380 #define __GMP_EXTERN_INLINE  static __inline
381 #endif
382 
383 /* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict
384    ANSI mode (__STDC__ is 1 in that mode).  Inlining only actually takes
385    place under -O.  Without -O "foo" seems to be emitted whether it's used
386    or not, which is wasteful.  "extern inline foo()" isn't useful, the
387    "extern" is apparently ignored, so foo is inlined if possible but also
388    emitted as a global, which causes multiple definition errors when
389    building a shared libgmp.  */
390 #ifdef __SCO_VERSION__
391 #if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
392   && ! defined (__GMP_EXTERN_INLINE)
393 #define __GMP_EXTERN_INLINE  static inline
394 #endif
395 #endif
396 
397 /* Microsoft's C compiler accepts __inline */
398 #ifdef _MSC_VER
399 #define __GMP_EXTERN_INLINE  __inline
400 #endif
401 
402 /* Recent enough Sun C compilers want "inline" */
403 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x560 \
404   && ! defined (__GMP_EXTERN_INLINE)
405 #define __GMP_EXTERN_INLINE  inline
406 #endif
407 
408 /* Somewhat older Sun C compilers want "static inline" */
409 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x540 \
410   && ! defined (__GMP_EXTERN_INLINE)
411 #define __GMP_EXTERN_INLINE  static inline
412 #endif
413 
414 
415 /* C++ always has "inline" and since it's a normal feature the linker should
416    discard duplicate non-inlined copies, or if it doesn't then that's a
417    problem for everyone, not just GMP.  */
418 #if defined (__cplusplus) && ! defined (__GMP_EXTERN_INLINE)
419 #define __GMP_EXTERN_INLINE  inline
420 #endif
421 
422 /* Don't do any inlining within a configure run, since if the compiler ends
423    up emitting copies of the code into the object file it can end up
424    demanding the various support routines (like mpn_popcount) for linking,
425    making the "alloca" test and perhaps others fail.  And on hppa ia64 a
426    pre-release gcc 3.2 was seen not respecting the "extern" in "extern
427    __inline__", triggering this problem too.  */
428 #if defined (__GMP_WITHIN_CONFIGURE) && ! __GMP_WITHIN_CONFIGURE_INLINE
429 #undef __GMP_EXTERN_INLINE
430 #endif
431 
432 /* By default, don't give a prototype when there's going to be an inline
433    version.  Note in particular that Cray C++ objects to the combination of
434    prototype and inline.  */
435 #ifdef __GMP_EXTERN_INLINE
436 #ifndef __GMP_INLINE_PROTOTYPES
437 #define __GMP_INLINE_PROTOTYPES  0
438 #endif
439 #else
440 #define __GMP_INLINE_PROTOTYPES  1
441 #endif
442 
443 
444 #define __GMP_ABS(x)   ((x) >= 0 ? (x) : -(x))
445 #define __GMP_MAX(h,i) ((h) > (i) ? (h) : (i))
446 
447 /* __GMP_USHRT_MAX is not "~ (unsigned short) 0" because short is promoted
448    to int by "~".  */
449 #define __GMP_UINT_MAX   (~ (unsigned) 0)
450 #define __GMP_ULONG_MAX  (~ (unsigned long) 0)
451 #define __GMP_USHRT_MAX  ((unsigned short) ~0)
452 
453 
454 /* __builtin_expect is in gcc 3.0, and not in 2.95. */
455 #if __GMP_GNUC_PREREQ (3,0)
456 #define __GMP_LIKELY(cond)    __builtin_expect ((cond) != 0, 1)
457 #define __GMP_UNLIKELY(cond)  __builtin_expect ((cond) != 0, 0)
458 #else
459 #define __GMP_LIKELY(cond)    (cond)
460 #define __GMP_UNLIKELY(cond)  (cond)
461 #endif
462 
463 #ifdef _CRAY
464 #define __GMP_CRAY_Pragma(str)  _Pragma (str)
465 #else
466 #define __GMP_CRAY_Pragma(str)
467 #endif
468 
469 
470 /* Allow direct user access to numerator and denominator of a mpq_t object.  */
471 #define mpq_numref(Q) (&((Q)->_mp_num))
472 #define mpq_denref(Q) (&((Q)->_mp_den))
473 
474 
475 #if defined (__cplusplus)
476 extern "C" {
477 using std::FILE;
478 #endif
479 
480 #define mp_set_memory_functions __gmp_set_memory_functions
481 __GMP_DECLSPEC void mp_set_memory_functions (void *(*) (size_t),
482 				      void *(*) (void *, size_t, size_t),
483 				      void (*) (void *, size_t)) __GMP_NOTHROW;
484 
485 #define mp_get_memory_functions __gmp_get_memory_functions
486 __GMP_DECLSPEC void mp_get_memory_functions (void *(**) (size_t),
487                                       void *(**) (void *, size_t, size_t),
488                                       void (**) (void *, size_t)) __GMP_NOTHROW;
489 
490 #define mp_bits_per_limb __gmp_bits_per_limb
491 __GMP_DECLSPEC extern const int mp_bits_per_limb;
492 
493 #define gmp_errno __gmp_errno
494 __GMP_DECLSPEC extern int gmp_errno;
495 
496 #define gmp_version __gmp_version
497 __GMP_DECLSPEC extern const char * const gmp_version;
498 
499 
500 /**************** Random number routines.  ****************/
501 
502 /* obsolete */
503 #define gmp_randinit __gmp_randinit
504 __GMP_DECLSPEC void gmp_randinit (gmp_randstate_t, gmp_randalg_t, ...);
505 
506 #define gmp_randinit_default __gmp_randinit_default
507 __GMP_DECLSPEC void gmp_randinit_default (gmp_randstate_t);
508 
509 #define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
510 __GMP_DECLSPEC void gmp_randinit_lc_2exp (gmp_randstate_t, mpz_srcptr, unsigned long int, mp_bitcnt_t);
511 
512 #define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size
513 __GMP_DECLSPEC int gmp_randinit_lc_2exp_size (gmp_randstate_t, mp_bitcnt_t);
514 
515 #define gmp_randinit_mt __gmp_randinit_mt
516 __GMP_DECLSPEC void gmp_randinit_mt (gmp_randstate_t);
517 
518 #define gmp_randinit_set __gmp_randinit_set
519 __GMP_DECLSPEC void gmp_randinit_set (gmp_randstate_t, const __gmp_randstate_struct *);
520 
521 #define gmp_randseed __gmp_randseed
522 __GMP_DECLSPEC void gmp_randseed (gmp_randstate_t, mpz_srcptr);
523 
524 #define gmp_randseed_ui __gmp_randseed_ui
525 __GMP_DECLSPEC void gmp_randseed_ui (gmp_randstate_t, unsigned long int);
526 
527 #define gmp_randclear __gmp_randclear
528 __GMP_DECLSPEC void gmp_randclear (gmp_randstate_t);
529 
530 #define gmp_urandomb_ui __gmp_urandomb_ui
531 __GMP_DECLSPEC unsigned long gmp_urandomb_ui (gmp_randstate_t, unsigned long);
532 
533 #define gmp_urandomm_ui __gmp_urandomm_ui
534 __GMP_DECLSPEC unsigned long gmp_urandomm_ui (gmp_randstate_t, unsigned long);
535 
536 
537 /**************** Formatted output routines.  ****************/
538 
539 #define gmp_asprintf __gmp_asprintf
540 __GMP_DECLSPEC int gmp_asprintf (char **, const char *, ...);
541 
542 #define gmp_fprintf __gmp_fprintf
543 #ifdef _GMP_H_HAVE_FILE
544 __GMP_DECLSPEC int gmp_fprintf (FILE *, const char *, ...);
545 #endif
546 
547 #define gmp_obstack_printf __gmp_obstack_printf
548 #if defined (_GMP_H_HAVE_OBSTACK)
549 __GMP_DECLSPEC int gmp_obstack_printf (struct obstack *, const char *, ...);
550 #endif
551 
552 #define gmp_obstack_vprintf __gmp_obstack_vprintf
553 #if defined (_GMP_H_HAVE_OBSTACK) && defined (_GMP_H_HAVE_VA_LIST)
554 __GMP_DECLSPEC int gmp_obstack_vprintf (struct obstack *, const char *, va_list);
555 #endif
556 
557 #define gmp_printf __gmp_printf
558 __GMP_DECLSPEC int gmp_printf (const char *, ...);
559 
560 #define gmp_snprintf __gmp_snprintf
561 __GMP_DECLSPEC int gmp_snprintf (char *, size_t, const char *, ...);
562 
563 #define gmp_sprintf __gmp_sprintf
564 __GMP_DECLSPEC int gmp_sprintf (char *, const char *, ...);
565 
566 #define gmp_vasprintf __gmp_vasprintf
567 #if defined (_GMP_H_HAVE_VA_LIST)
568 __GMP_DECLSPEC int gmp_vasprintf (char **, const char *, va_list);
569 #endif
570 
571 #define gmp_vfprintf __gmp_vfprintf
572 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
573 __GMP_DECLSPEC int gmp_vfprintf (FILE *, const char *, va_list);
574 #endif
575 
576 #define gmp_vprintf __gmp_vprintf
577 #if defined (_GMP_H_HAVE_VA_LIST)
578 __GMP_DECLSPEC int gmp_vprintf (const char *, va_list);
579 #endif
580 
581 #define gmp_vsnprintf __gmp_vsnprintf
582 #if defined (_GMP_H_HAVE_VA_LIST)
583 __GMP_DECLSPEC int gmp_vsnprintf (char *, size_t, const char *, va_list);
584 #endif
585 
586 #define gmp_vsprintf __gmp_vsprintf
587 #if defined (_GMP_H_HAVE_VA_LIST)
588 __GMP_DECLSPEC int gmp_vsprintf (char *, const char *, va_list);
589 #endif
590 
591 
592 /**************** Formatted input routines.  ****************/
593 
594 #define gmp_fscanf __gmp_fscanf
595 #ifdef _GMP_H_HAVE_FILE
596 __GMP_DECLSPEC int gmp_fscanf (FILE *, const char *, ...);
597 #endif
598 
599 #define gmp_scanf __gmp_scanf
600 __GMP_DECLSPEC int gmp_scanf (const char *, ...);
601 
602 #define gmp_sscanf __gmp_sscanf
603 __GMP_DECLSPEC int gmp_sscanf (const char *, const char *, ...);
604 
605 #define gmp_vfscanf __gmp_vfscanf
606 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
607 __GMP_DECLSPEC int gmp_vfscanf (FILE *, const char *, va_list);
608 #endif
609 
610 #define gmp_vscanf __gmp_vscanf
611 #if defined (_GMP_H_HAVE_VA_LIST)
612 __GMP_DECLSPEC int gmp_vscanf (const char *, va_list);
613 #endif
614 
615 #define gmp_vsscanf __gmp_vsscanf
616 #if defined (_GMP_H_HAVE_VA_LIST)
617 __GMP_DECLSPEC int gmp_vsscanf (const char *, const char *, va_list);
618 #endif
619 
620 
621 /**************** Integer (i.e. Z) routines.  ****************/
622 
623 #define _mpz_realloc __gmpz_realloc
624 #define mpz_realloc __gmpz_realloc
625 __GMP_DECLSPEC void *_mpz_realloc (mpz_ptr, mp_size_t);
626 
627 #define mpz_abs __gmpz_abs
628 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs)
629 __GMP_DECLSPEC void mpz_abs (mpz_ptr, mpz_srcptr);
630 #endif
631 
632 #define mpz_add __gmpz_add
633 __GMP_DECLSPEC void mpz_add (mpz_ptr, mpz_srcptr, mpz_srcptr);
634 
635 #define mpz_add_ui __gmpz_add_ui
636 __GMP_DECLSPEC void mpz_add_ui (mpz_ptr, mpz_srcptr, unsigned long int);
637 
638 #define mpz_addmul __gmpz_addmul
639 __GMP_DECLSPEC void mpz_addmul (mpz_ptr, mpz_srcptr, mpz_srcptr);
640 
641 #define mpz_addmul_ui __gmpz_addmul_ui
642 __GMP_DECLSPEC void mpz_addmul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
643 
644 #define mpz_and __gmpz_and
645 __GMP_DECLSPEC void mpz_and (mpz_ptr, mpz_srcptr, mpz_srcptr);
646 
647 #define mpz_array_init __gmpz_array_init
648 __GMP_DECLSPEC void mpz_array_init (mpz_ptr, mp_size_t, mp_size_t);
649 
650 #define mpz_bin_ui __gmpz_bin_ui
651 __GMP_DECLSPEC void mpz_bin_ui (mpz_ptr, mpz_srcptr, unsigned long int);
652 
653 #define mpz_bin_uiui __gmpz_bin_uiui
654 __GMP_DECLSPEC void mpz_bin_uiui (mpz_ptr, unsigned long int, unsigned long int);
655 
656 #define mpz_cdiv_q __gmpz_cdiv_q
657 __GMP_DECLSPEC void mpz_cdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
658 
659 #define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
660 __GMP_DECLSPEC void mpz_cdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
661 
662 #define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
663 __GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
664 
665 #define mpz_cdiv_qr __gmpz_cdiv_qr
666 __GMP_DECLSPEC void mpz_cdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
667 
668 #define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
669 __GMP_DECLSPEC unsigned long int mpz_cdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
670 
671 #define mpz_cdiv_r __gmpz_cdiv_r
672 __GMP_DECLSPEC void mpz_cdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
673 
674 #define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
675 __GMP_DECLSPEC void mpz_cdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
676 
677 #define mpz_cdiv_r_ui __gmpz_cdiv_r_ui
678 __GMP_DECLSPEC unsigned long int mpz_cdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
679 
680 #define mpz_cdiv_ui __gmpz_cdiv_ui
681 __GMP_DECLSPEC unsigned long int mpz_cdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
682 
683 #define mpz_clear __gmpz_clear
684 __GMP_DECLSPEC void mpz_clear (mpz_ptr);
685 
686 #define mpz_clears __gmpz_clears
687 __GMP_DECLSPEC void mpz_clears (mpz_ptr, ...);
688 
689 #define mpz_clrbit __gmpz_clrbit
690 __GMP_DECLSPEC void mpz_clrbit (mpz_ptr, mp_bitcnt_t);
691 
692 #define mpz_cmp __gmpz_cmp
693 __GMP_DECLSPEC int mpz_cmp (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
694 
695 #define mpz_cmp_d __gmpz_cmp_d
696 __GMP_DECLSPEC int mpz_cmp_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
697 
698 #define _mpz_cmp_si __gmpz_cmp_si
699 __GMP_DECLSPEC int _mpz_cmp_si (mpz_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
700 
701 #define _mpz_cmp_ui __gmpz_cmp_ui
702 __GMP_DECLSPEC int _mpz_cmp_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
703 
704 #define mpz_cmpabs __gmpz_cmpabs
705 __GMP_DECLSPEC int mpz_cmpabs (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
706 
707 #define mpz_cmpabs_d __gmpz_cmpabs_d
708 __GMP_DECLSPEC int mpz_cmpabs_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
709 
710 #define mpz_cmpabs_ui __gmpz_cmpabs_ui
711 __GMP_DECLSPEC int mpz_cmpabs_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
712 
713 #define mpz_com __gmpz_com
714 __GMP_DECLSPEC void mpz_com (mpz_ptr, mpz_srcptr);
715 
716 #define mpz_combit __gmpz_combit
717 __GMP_DECLSPEC void mpz_combit (mpz_ptr, mp_bitcnt_t);
718 
719 #define mpz_congruent_p __gmpz_congruent_p
720 __GMP_DECLSPEC int mpz_congruent_p (mpz_srcptr, mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
721 
722 #define mpz_congruent_2exp_p __gmpz_congruent_2exp_p
723 __GMP_DECLSPEC int mpz_congruent_2exp_p (mpz_srcptr, mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
724 
725 #define mpz_congruent_ui_p __gmpz_congruent_ui_p
726 __GMP_DECLSPEC int mpz_congruent_ui_p (mpz_srcptr, unsigned long, unsigned long) __GMP_ATTRIBUTE_PURE;
727 
728 #define mpz_divexact __gmpz_divexact
729 __GMP_DECLSPEC void mpz_divexact (mpz_ptr, mpz_srcptr, mpz_srcptr);
730 
731 #define mpz_divexact_ui __gmpz_divexact_ui
732 __GMP_DECLSPEC void mpz_divexact_ui (mpz_ptr, mpz_srcptr, unsigned long);
733 
734 #define mpz_divisible_p __gmpz_divisible_p
735 __GMP_DECLSPEC int mpz_divisible_p (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
736 
737 #define mpz_divisible_ui_p __gmpz_divisible_ui_p
738 __GMP_DECLSPEC int mpz_divisible_ui_p (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
739 
740 #define mpz_divisible_2exp_p __gmpz_divisible_2exp_p
741 __GMP_DECLSPEC int mpz_divisible_2exp_p (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
742 
743 #define mpz_dump __gmpz_dump
744 __GMP_DECLSPEC void mpz_dump (mpz_srcptr);
745 
746 #define mpz_export __gmpz_export
747 __GMP_DECLSPEC void *mpz_export (void *, size_t *, int, size_t, int, size_t, mpz_srcptr);
748 
749 #define mpz_fac_ui __gmpz_fac_ui
750 __GMP_DECLSPEC void mpz_fac_ui (mpz_ptr, unsigned long int);
751 
752 #define mpz_2fac_ui __gmpz_2fac_ui
753 __GMP_DECLSPEC void mpz_2fac_ui (mpz_ptr, unsigned long int);
754 
755 #define mpz_mfac_uiui __gmpz_mfac_uiui
756 __GMP_DECLSPEC void mpz_mfac_uiui (mpz_ptr, unsigned long int, unsigned long int);
757 
758 #define mpz_primorial_ui __gmpz_primorial_ui
759 __GMP_DECLSPEC void mpz_primorial_ui (mpz_ptr, unsigned long int);
760 
761 #define mpz_fdiv_q __gmpz_fdiv_q
762 __GMP_DECLSPEC void mpz_fdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
763 
764 #define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
765 __GMP_DECLSPEC void mpz_fdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
766 
767 #define mpz_fdiv_q_ui __gmpz_fdiv_q_ui
768 __GMP_DECLSPEC unsigned long int mpz_fdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
769 
770 #define mpz_fdiv_qr __gmpz_fdiv_qr
771 __GMP_DECLSPEC void mpz_fdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
772 
773 #define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui
774 __GMP_DECLSPEC unsigned long int mpz_fdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
775 
776 #define mpz_fdiv_r __gmpz_fdiv_r
777 __GMP_DECLSPEC void mpz_fdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
778 
779 #define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
780 __GMP_DECLSPEC void mpz_fdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
781 
782 #define mpz_fdiv_r_ui __gmpz_fdiv_r_ui
783 __GMP_DECLSPEC unsigned long int mpz_fdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
784 
785 #define mpz_fdiv_ui __gmpz_fdiv_ui
786 __GMP_DECLSPEC unsigned long int mpz_fdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
787 
788 #define mpz_fib_ui __gmpz_fib_ui
789 __GMP_DECLSPEC void mpz_fib_ui (mpz_ptr, unsigned long int);
790 
791 #define mpz_fib2_ui __gmpz_fib2_ui
792 __GMP_DECLSPEC void mpz_fib2_ui (mpz_ptr, mpz_ptr, unsigned long int);
793 
794 #define mpz_fits_sint_p __gmpz_fits_sint_p
795 __GMP_DECLSPEC int mpz_fits_sint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
796 
797 #define mpz_fits_slong_p __gmpz_fits_slong_p
798 __GMP_DECLSPEC int mpz_fits_slong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
799 
800 #define mpz_fits_sshort_p __gmpz_fits_sshort_p
801 __GMP_DECLSPEC int mpz_fits_sshort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
802 
803 #define mpz_fits_uint_p __gmpz_fits_uint_p
804 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_uint_p)
805 __GMP_DECLSPEC int mpz_fits_uint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
806 #endif
807 
808 #define mpz_fits_ulong_p __gmpz_fits_ulong_p
809 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ulong_p)
810 __GMP_DECLSPEC int mpz_fits_ulong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
811 #endif
812 
813 #define mpz_fits_ushort_p __gmpz_fits_ushort_p
814 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ushort_p)
815 __GMP_DECLSPEC int mpz_fits_ushort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
816 #endif
817 
818 #define mpz_gcd __gmpz_gcd
819 __GMP_DECLSPEC void mpz_gcd (mpz_ptr, mpz_srcptr, mpz_srcptr);
820 
821 #define mpz_gcd_ui __gmpz_gcd_ui
822 __GMP_DECLSPEC unsigned long int mpz_gcd_ui (mpz_ptr, mpz_srcptr, unsigned long int);
823 
824 #define mpz_gcdext __gmpz_gcdext
825 __GMP_DECLSPEC void mpz_gcdext (mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
826 
827 #define mpz_get_d __gmpz_get_d
828 __GMP_DECLSPEC double mpz_get_d (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
829 
830 #define mpz_get_d_2exp __gmpz_get_d_2exp
831 __GMP_DECLSPEC double mpz_get_d_2exp (signed long int *, mpz_srcptr);
832 
833 #define mpz_get_si __gmpz_get_si
834 __GMP_DECLSPEC /* signed */ long int mpz_get_si (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
835 
836 #define mpz_get_str __gmpz_get_str
837 __GMP_DECLSPEC char *mpz_get_str (char *, int, mpz_srcptr);
838 
839 #define mpz_get_ui __gmpz_get_ui
840 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_get_ui)
841 __GMP_DECLSPEC unsigned long int mpz_get_ui (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
842 #endif
843 
844 #define mpz_getlimbn __gmpz_getlimbn
845 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_getlimbn)
846 __GMP_DECLSPEC mp_limb_t mpz_getlimbn (mpz_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
847 #endif
848 
849 #define mpz_hamdist __gmpz_hamdist
850 __GMP_DECLSPEC mp_bitcnt_t mpz_hamdist (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
851 
852 #define mpz_import __gmpz_import
853 __GMP_DECLSPEC void mpz_import (mpz_ptr, size_t, int, size_t, int, size_t, const void *);
854 
855 #define mpz_init __gmpz_init
856 __GMP_DECLSPEC void mpz_init (mpz_ptr);
857 
858 #define mpz_init2 __gmpz_init2
859 __GMP_DECLSPEC void mpz_init2 (mpz_ptr, mp_bitcnt_t);
860 
861 #define mpz_inits __gmpz_inits
862 __GMP_DECLSPEC void mpz_inits (mpz_ptr, ...);
863 
864 #define mpz_init_set __gmpz_init_set
865 __GMP_DECLSPEC void mpz_init_set (mpz_ptr, mpz_srcptr);
866 
867 #define mpz_init_set_d __gmpz_init_set_d
868 __GMP_DECLSPEC void mpz_init_set_d (mpz_ptr, double);
869 
870 #define mpz_init_set_si __gmpz_init_set_si
871 __GMP_DECLSPEC void mpz_init_set_si (mpz_ptr, signed long int);
872 
873 #define mpz_init_set_str __gmpz_init_set_str
874 __GMP_DECLSPEC int mpz_init_set_str (mpz_ptr, const char *, int);
875 
876 #define mpz_init_set_ui __gmpz_init_set_ui
877 __GMP_DECLSPEC void mpz_init_set_ui (mpz_ptr, unsigned long int);
878 
879 #define mpz_inp_raw __gmpz_inp_raw
880 #ifdef _GMP_H_HAVE_FILE
881 __GMP_DECLSPEC size_t mpz_inp_raw (mpz_ptr, FILE *);
882 #endif
883 
884 #define mpz_inp_str __gmpz_inp_str
885 #ifdef _GMP_H_HAVE_FILE
886 __GMP_DECLSPEC size_t mpz_inp_str (mpz_ptr, FILE *, int);
887 #endif
888 
889 #define mpz_invert __gmpz_invert
890 __GMP_DECLSPEC int mpz_invert (mpz_ptr, mpz_srcptr, mpz_srcptr);
891 
892 #define mpz_ior __gmpz_ior
893 __GMP_DECLSPEC void mpz_ior (mpz_ptr, mpz_srcptr, mpz_srcptr);
894 
895 #define mpz_jacobi __gmpz_jacobi
896 __GMP_DECLSPEC int mpz_jacobi (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
897 
898 #define mpz_kronecker mpz_jacobi  /* alias */
899 
900 #define mpz_kronecker_si __gmpz_kronecker_si
901 __GMP_DECLSPEC int mpz_kronecker_si (mpz_srcptr, long) __GMP_ATTRIBUTE_PURE;
902 
903 #define mpz_kronecker_ui __gmpz_kronecker_ui
904 __GMP_DECLSPEC int mpz_kronecker_ui (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
905 
906 #define mpz_si_kronecker __gmpz_si_kronecker
907 __GMP_DECLSPEC int mpz_si_kronecker (long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
908 
909 #define mpz_ui_kronecker __gmpz_ui_kronecker
910 __GMP_DECLSPEC int mpz_ui_kronecker (unsigned long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
911 
912 #define mpz_lcm __gmpz_lcm
913 __GMP_DECLSPEC void mpz_lcm (mpz_ptr, mpz_srcptr, mpz_srcptr);
914 
915 #define mpz_lcm_ui __gmpz_lcm_ui
916 __GMP_DECLSPEC void mpz_lcm_ui (mpz_ptr, mpz_srcptr, unsigned long);
917 
918 #define mpz_legendre mpz_jacobi  /* alias */
919 
920 #define mpz_lucnum_ui __gmpz_lucnum_ui
921 __GMP_DECLSPEC void mpz_lucnum_ui (mpz_ptr, unsigned long int);
922 
923 #define mpz_lucnum2_ui __gmpz_lucnum2_ui
924 __GMP_DECLSPEC void mpz_lucnum2_ui (mpz_ptr, mpz_ptr, unsigned long int);
925 
926 #define mpz_millerrabin __gmpz_millerrabin
927 __GMP_DECLSPEC int mpz_millerrabin (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
928 
929 #define mpz_mod __gmpz_mod
930 __GMP_DECLSPEC void mpz_mod (mpz_ptr, mpz_srcptr, mpz_srcptr);
931 
932 #define mpz_mod_ui mpz_fdiv_r_ui /* same as fdiv_r because divisor unsigned */
933 
934 #define mpz_mul __gmpz_mul
935 __GMP_DECLSPEC void mpz_mul (mpz_ptr, mpz_srcptr, mpz_srcptr);
936 
937 #define mpz_mul_2exp __gmpz_mul_2exp
938 __GMP_DECLSPEC void mpz_mul_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
939 
940 #define mpz_mul_si __gmpz_mul_si
941 __GMP_DECLSPEC void mpz_mul_si (mpz_ptr, mpz_srcptr, long int);
942 
943 #define mpz_mul_ui __gmpz_mul_ui
944 __GMP_DECLSPEC void mpz_mul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
945 
946 #define mpz_neg __gmpz_neg
947 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_neg)
948 __GMP_DECLSPEC void mpz_neg (mpz_ptr, mpz_srcptr);
949 #endif
950 
951 #define mpz_nextprime __gmpz_nextprime
952 __GMP_DECLSPEC void mpz_nextprime (mpz_ptr, mpz_srcptr);
953 
954 #define mpz_out_raw __gmpz_out_raw
955 #ifdef _GMP_H_HAVE_FILE
956 __GMP_DECLSPEC size_t mpz_out_raw (FILE *, mpz_srcptr);
957 #endif
958 
959 #define mpz_out_str __gmpz_out_str
960 #ifdef _GMP_H_HAVE_FILE
961 __GMP_DECLSPEC size_t mpz_out_str (FILE *, int, mpz_srcptr);
962 #endif
963 
964 #define mpz_perfect_power_p __gmpz_perfect_power_p
965 __GMP_DECLSPEC int mpz_perfect_power_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
966 
967 #define mpz_perfect_square_p __gmpz_perfect_square_p
968 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_perfect_square_p)
969 __GMP_DECLSPEC int mpz_perfect_square_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
970 #endif
971 
972 #define mpz_popcount __gmpz_popcount
973 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_popcount)
974 __GMP_DECLSPEC mp_bitcnt_t mpz_popcount (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
975 #endif
976 
977 #define mpz_pow_ui __gmpz_pow_ui
978 __GMP_DECLSPEC void mpz_pow_ui (mpz_ptr, mpz_srcptr, unsigned long int);
979 
980 #define mpz_powm __gmpz_powm
981 __GMP_DECLSPEC void mpz_powm (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
982 
983 #define mpz_powm_sec __gmpz_powm_sec
984 __GMP_DECLSPEC void mpz_powm_sec (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
985 
986 #define mpz_powm_ui __gmpz_powm_ui
987 __GMP_DECLSPEC void mpz_powm_ui (mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr);
988 
989 #define mpz_probab_prime_p __gmpz_probab_prime_p
990 __GMP_DECLSPEC int mpz_probab_prime_p (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
991 
992 #define mpz_random __gmpz_random
993 __GMP_DECLSPEC void mpz_random (mpz_ptr, mp_size_t);
994 
995 #define mpz_random2 __gmpz_random2
996 __GMP_DECLSPEC void mpz_random2 (mpz_ptr, mp_size_t);
997 
998 #define mpz_realloc2 __gmpz_realloc2
999 __GMP_DECLSPEC void mpz_realloc2 (mpz_ptr, mp_bitcnt_t);
1000 
1001 #define mpz_remove __gmpz_remove
1002 __GMP_DECLSPEC mp_bitcnt_t mpz_remove (mpz_ptr, mpz_srcptr, mpz_srcptr);
1003 
1004 #define mpz_root __gmpz_root
1005 __GMP_DECLSPEC int mpz_root (mpz_ptr, mpz_srcptr, unsigned long int);
1006 
1007 #define mpz_rootrem __gmpz_rootrem
1008 __GMP_DECLSPEC void mpz_rootrem (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
1009 
1010 #define mpz_rrandomb __gmpz_rrandomb
1011 __GMP_DECLSPEC void mpz_rrandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
1012 
1013 #define mpz_scan0 __gmpz_scan0
1014 __GMP_DECLSPEC mp_bitcnt_t mpz_scan0 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1015 
1016 #define mpz_scan1 __gmpz_scan1
1017 __GMP_DECLSPEC mp_bitcnt_t mpz_scan1 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1018 
1019 #define mpz_set __gmpz_set
1020 __GMP_DECLSPEC void mpz_set (mpz_ptr, mpz_srcptr);
1021 
1022 #define mpz_set_d __gmpz_set_d
1023 __GMP_DECLSPEC void mpz_set_d (mpz_ptr, double);
1024 
1025 #define mpz_set_f __gmpz_set_f
1026 __GMP_DECLSPEC void mpz_set_f (mpz_ptr, mpf_srcptr);
1027 
1028 #define mpz_set_q __gmpz_set_q
1029 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_set_q)
1030 __GMP_DECLSPEC void mpz_set_q (mpz_ptr, mpq_srcptr);
1031 #endif
1032 
1033 #define mpz_set_si __gmpz_set_si
1034 __GMP_DECLSPEC void mpz_set_si (mpz_ptr, signed long int);
1035 
1036 #define mpz_set_str __gmpz_set_str
1037 __GMP_DECLSPEC int mpz_set_str (mpz_ptr, const char *, int);
1038 
1039 #define mpz_set_ui __gmpz_set_ui
1040 __GMP_DECLSPEC void mpz_set_ui (mpz_ptr, unsigned long int);
1041 
1042 #define mpz_setbit __gmpz_setbit
1043 __GMP_DECLSPEC void mpz_setbit (mpz_ptr, mp_bitcnt_t);
1044 
1045 #define mpz_size __gmpz_size
1046 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_size)
1047 __GMP_DECLSPEC size_t mpz_size (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1048 #endif
1049 
1050 #define mpz_sizeinbase __gmpz_sizeinbase
1051 __GMP_DECLSPEC size_t mpz_sizeinbase (mpz_srcptr, int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1052 
1053 #define mpz_sqrt __gmpz_sqrt
1054 __GMP_DECLSPEC void mpz_sqrt (mpz_ptr, mpz_srcptr);
1055 
1056 #define mpz_sqrtrem __gmpz_sqrtrem
1057 __GMP_DECLSPEC void mpz_sqrtrem (mpz_ptr, mpz_ptr, mpz_srcptr);
1058 
1059 #define mpz_sub __gmpz_sub
1060 __GMP_DECLSPEC void mpz_sub (mpz_ptr, mpz_srcptr, mpz_srcptr);
1061 
1062 #define mpz_sub_ui __gmpz_sub_ui
1063 __GMP_DECLSPEC void mpz_sub_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1064 
1065 #define mpz_ui_sub __gmpz_ui_sub
1066 __GMP_DECLSPEC void mpz_ui_sub (mpz_ptr, unsigned long int, mpz_srcptr);
1067 
1068 #define mpz_submul __gmpz_submul
1069 __GMP_DECLSPEC void mpz_submul (mpz_ptr, mpz_srcptr, mpz_srcptr);
1070 
1071 #define mpz_submul_ui __gmpz_submul_ui
1072 __GMP_DECLSPEC void mpz_submul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1073 
1074 #define mpz_swap __gmpz_swap
1075 __GMP_DECLSPEC void mpz_swap (mpz_ptr, mpz_ptr) __GMP_NOTHROW;
1076 
1077 #define mpz_tdiv_ui __gmpz_tdiv_ui
1078 __GMP_DECLSPEC unsigned long int mpz_tdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
1079 
1080 #define mpz_tdiv_q __gmpz_tdiv_q
1081 __GMP_DECLSPEC void mpz_tdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
1082 
1083 #define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp
1084 __GMP_DECLSPEC void mpz_tdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
1085 
1086 #define mpz_tdiv_q_ui __gmpz_tdiv_q_ui
1087 __GMP_DECLSPEC unsigned long int mpz_tdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1088 
1089 #define mpz_tdiv_qr __gmpz_tdiv_qr
1090 __GMP_DECLSPEC void mpz_tdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
1091 
1092 #define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui
1093 __GMP_DECLSPEC unsigned long int mpz_tdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
1094 
1095 #define mpz_tdiv_r __gmpz_tdiv_r
1096 __GMP_DECLSPEC void mpz_tdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
1097 
1098 #define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp
1099 __GMP_DECLSPEC void mpz_tdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
1100 
1101 #define mpz_tdiv_r_ui __gmpz_tdiv_r_ui
1102 __GMP_DECLSPEC unsigned long int mpz_tdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1103 
1104 #define mpz_tstbit __gmpz_tstbit
1105 __GMP_DECLSPEC int mpz_tstbit (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1106 
1107 #define mpz_ui_pow_ui __gmpz_ui_pow_ui
1108 __GMP_DECLSPEC void mpz_ui_pow_ui (mpz_ptr, unsigned long int, unsigned long int);
1109 
1110 #define mpz_urandomb __gmpz_urandomb
1111 __GMP_DECLSPEC void mpz_urandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
1112 
1113 #define mpz_urandomm __gmpz_urandomm
1114 __GMP_DECLSPEC void mpz_urandomm (mpz_ptr, gmp_randstate_t, mpz_srcptr);
1115 
1116 #define mpz_xor __gmpz_xor
1117 #define mpz_eor __gmpz_xor
1118 __GMP_DECLSPEC void mpz_xor (mpz_ptr, mpz_srcptr, mpz_srcptr);
1119 
1120 
1121 /**************** Rational (i.e. Q) routines.  ****************/
1122 
1123 #define mpq_abs __gmpq_abs
1124 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_abs)
1125 __GMP_DECLSPEC void mpq_abs (mpq_ptr, mpq_srcptr);
1126 #endif
1127 
1128 #define mpq_add __gmpq_add
1129 __GMP_DECLSPEC void mpq_add (mpq_ptr, mpq_srcptr, mpq_srcptr);
1130 
1131 #define mpq_canonicalize __gmpq_canonicalize
1132 __GMP_DECLSPEC void mpq_canonicalize (mpq_ptr);
1133 
1134 #define mpq_clear __gmpq_clear
1135 __GMP_DECLSPEC void mpq_clear (mpq_ptr);
1136 
1137 #define mpq_clears __gmpq_clears
1138 __GMP_DECLSPEC void mpq_clears (mpq_ptr, ...);
1139 
1140 #define mpq_cmp __gmpq_cmp
1141 __GMP_DECLSPEC int mpq_cmp (mpq_srcptr, mpq_srcptr) __GMP_ATTRIBUTE_PURE;
1142 
1143 #define _mpq_cmp_si __gmpq_cmp_si
1144 __GMP_DECLSPEC int _mpq_cmp_si (mpq_srcptr, long, unsigned long) __GMP_ATTRIBUTE_PURE;
1145 
1146 #define _mpq_cmp_ui __gmpq_cmp_ui
1147 __GMP_DECLSPEC int _mpq_cmp_ui (mpq_srcptr, unsigned long int, unsigned long int) __GMP_ATTRIBUTE_PURE;
1148 
1149 #define mpq_div __gmpq_div
1150 __GMP_DECLSPEC void mpq_div (mpq_ptr, mpq_srcptr, mpq_srcptr);
1151 
1152 #define mpq_div_2exp __gmpq_div_2exp
1153 __GMP_DECLSPEC void mpq_div_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
1154 
1155 #define mpq_equal __gmpq_equal
1156 __GMP_DECLSPEC int mpq_equal (mpq_srcptr, mpq_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1157 
1158 #define mpq_get_num __gmpq_get_num
1159 __GMP_DECLSPEC void mpq_get_num (mpz_ptr, mpq_srcptr);
1160 
1161 #define mpq_get_den __gmpq_get_den
1162 __GMP_DECLSPEC void mpq_get_den (mpz_ptr, mpq_srcptr);
1163 
1164 #define mpq_get_d __gmpq_get_d
1165 __GMP_DECLSPEC double mpq_get_d (mpq_srcptr) __GMP_ATTRIBUTE_PURE;
1166 
1167 #define mpq_get_str __gmpq_get_str
1168 __GMP_DECLSPEC char *mpq_get_str (char *, int, mpq_srcptr);
1169 
1170 #define mpq_init __gmpq_init
1171 __GMP_DECLSPEC void mpq_init (mpq_ptr);
1172 
1173 #define mpq_inits __gmpq_inits
1174 __GMP_DECLSPEC void mpq_inits (mpq_ptr, ...);
1175 
1176 #define mpq_inp_str __gmpq_inp_str
1177 #ifdef _GMP_H_HAVE_FILE
1178 __GMP_DECLSPEC size_t mpq_inp_str (mpq_ptr, FILE *, int);
1179 #endif
1180 
1181 #define mpq_inv __gmpq_inv
1182 __GMP_DECLSPEC void mpq_inv (mpq_ptr, mpq_srcptr);
1183 
1184 #define mpq_mul __gmpq_mul
1185 __GMP_DECLSPEC void mpq_mul (mpq_ptr, mpq_srcptr, mpq_srcptr);
1186 
1187 #define mpq_mul_2exp __gmpq_mul_2exp
1188 __GMP_DECLSPEC void mpq_mul_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
1189 
1190 #define mpq_neg __gmpq_neg
1191 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_neg)
1192 __GMP_DECLSPEC void mpq_neg (mpq_ptr, mpq_srcptr);
1193 #endif
1194 
1195 #define mpq_out_str __gmpq_out_str
1196 #ifdef _GMP_H_HAVE_FILE
1197 __GMP_DECLSPEC size_t mpq_out_str (FILE *, int, mpq_srcptr);
1198 #endif
1199 
1200 #define mpq_set __gmpq_set
1201 __GMP_DECLSPEC void mpq_set (mpq_ptr, mpq_srcptr);
1202 
1203 #define mpq_set_d __gmpq_set_d
1204 __GMP_DECLSPEC void mpq_set_d (mpq_ptr, double);
1205 
1206 #define mpq_set_den __gmpq_set_den
1207 __GMP_DECLSPEC void mpq_set_den (mpq_ptr, mpz_srcptr);
1208 
1209 #define mpq_set_f __gmpq_set_f
1210 __GMP_DECLSPEC void mpq_set_f (mpq_ptr, mpf_srcptr);
1211 
1212 #define mpq_set_num __gmpq_set_num
1213 __GMP_DECLSPEC void mpq_set_num (mpq_ptr, mpz_srcptr);
1214 
1215 #define mpq_set_si __gmpq_set_si
1216 __GMP_DECLSPEC void mpq_set_si (mpq_ptr, signed long int, unsigned long int);
1217 
1218 #define mpq_set_str __gmpq_set_str
1219 __GMP_DECLSPEC int mpq_set_str (mpq_ptr, const char *, int);
1220 
1221 #define mpq_set_ui __gmpq_set_ui
1222 __GMP_DECLSPEC void mpq_set_ui (mpq_ptr, unsigned long int, unsigned long int);
1223 
1224 #define mpq_set_z __gmpq_set_z
1225 __GMP_DECLSPEC void mpq_set_z (mpq_ptr, mpz_srcptr);
1226 
1227 #define mpq_sub __gmpq_sub
1228 __GMP_DECLSPEC void mpq_sub (mpq_ptr, mpq_srcptr, mpq_srcptr);
1229 
1230 #define mpq_swap __gmpq_swap
1231 __GMP_DECLSPEC void mpq_swap (mpq_ptr, mpq_ptr) __GMP_NOTHROW;
1232 
1233 
1234 /**************** Float (i.e. F) routines.  ****************/
1235 
1236 #define mpf_abs __gmpf_abs
1237 __GMP_DECLSPEC void mpf_abs (mpf_ptr, mpf_srcptr);
1238 
1239 #define mpf_add __gmpf_add
1240 __GMP_DECLSPEC void mpf_add (mpf_ptr, mpf_srcptr, mpf_srcptr);
1241 
1242 #define mpf_add_ui __gmpf_add_ui
1243 __GMP_DECLSPEC void mpf_add_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1244 #define mpf_ceil __gmpf_ceil
1245 __GMP_DECLSPEC void mpf_ceil (mpf_ptr, mpf_srcptr);
1246 
1247 #define mpf_clear __gmpf_clear
1248 __GMP_DECLSPEC void mpf_clear (mpf_ptr);
1249 
1250 #define mpf_clears __gmpf_clears
1251 __GMP_DECLSPEC void mpf_clears (mpf_ptr, ...);
1252 
1253 #define mpf_cmp __gmpf_cmp
1254 __GMP_DECLSPEC int mpf_cmp (mpf_srcptr, mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1255 
1256 #define mpf_cmp_d __gmpf_cmp_d
1257 __GMP_DECLSPEC int mpf_cmp_d (mpf_srcptr, double) __GMP_ATTRIBUTE_PURE;
1258 
1259 #define mpf_cmp_si __gmpf_cmp_si
1260 __GMP_DECLSPEC int mpf_cmp_si (mpf_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1261 
1262 #define mpf_cmp_ui __gmpf_cmp_ui
1263 __GMP_DECLSPEC int mpf_cmp_ui (mpf_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1264 
1265 #define mpf_div __gmpf_div
1266 __GMP_DECLSPEC void mpf_div (mpf_ptr, mpf_srcptr, mpf_srcptr);
1267 
1268 #define mpf_div_2exp __gmpf_div_2exp
1269 __GMP_DECLSPEC void mpf_div_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
1270 
1271 #define mpf_div_ui __gmpf_div_ui
1272 __GMP_DECLSPEC void mpf_div_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1273 
1274 #define mpf_dump __gmpf_dump
1275 __GMP_DECLSPEC void mpf_dump (mpf_srcptr);
1276 
1277 #define mpf_eq __gmpf_eq
1278 __GMP_DECLSPEC int mpf_eq (mpf_srcptr, mpf_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
1279 
1280 #define mpf_fits_sint_p __gmpf_fits_sint_p
1281 __GMP_DECLSPEC int mpf_fits_sint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1282 
1283 #define mpf_fits_slong_p __gmpf_fits_slong_p
1284 __GMP_DECLSPEC int mpf_fits_slong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1285 
1286 #define mpf_fits_sshort_p __gmpf_fits_sshort_p
1287 __GMP_DECLSPEC int mpf_fits_sshort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1288 
1289 #define mpf_fits_uint_p __gmpf_fits_uint_p
1290 __GMP_DECLSPEC int mpf_fits_uint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1291 
1292 #define mpf_fits_ulong_p __gmpf_fits_ulong_p
1293 __GMP_DECLSPEC int mpf_fits_ulong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1294 
1295 #define mpf_fits_ushort_p __gmpf_fits_ushort_p
1296 __GMP_DECLSPEC int mpf_fits_ushort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1297 
1298 #define mpf_floor __gmpf_floor
1299 __GMP_DECLSPEC void mpf_floor (mpf_ptr, mpf_srcptr);
1300 
1301 #define mpf_get_d __gmpf_get_d
1302 __GMP_DECLSPEC double mpf_get_d (mpf_srcptr) __GMP_ATTRIBUTE_PURE;
1303 
1304 #define mpf_get_d_2exp __gmpf_get_d_2exp
1305 __GMP_DECLSPEC double mpf_get_d_2exp (signed long int *, mpf_srcptr);
1306 
1307 #define mpf_get_default_prec __gmpf_get_default_prec
1308 __GMP_DECLSPEC mp_bitcnt_t mpf_get_default_prec (void) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1309 
1310 #define mpf_get_prec __gmpf_get_prec
1311 __GMP_DECLSPEC mp_bitcnt_t mpf_get_prec (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1312 
1313 #define mpf_get_si __gmpf_get_si
1314 __GMP_DECLSPEC long mpf_get_si (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1315 
1316 #define mpf_get_str __gmpf_get_str
1317 __GMP_DECLSPEC char *mpf_get_str (char *, mp_exp_t *, int, size_t, mpf_srcptr);
1318 
1319 #define mpf_get_ui __gmpf_get_ui
1320 __GMP_DECLSPEC unsigned long mpf_get_ui (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1321 
1322 #define mpf_init __gmpf_init
1323 __GMP_DECLSPEC void mpf_init (mpf_ptr);
1324 
1325 #define mpf_init2 __gmpf_init2
1326 __GMP_DECLSPEC void mpf_init2 (mpf_ptr, mp_bitcnt_t);
1327 
1328 #define mpf_inits __gmpf_inits
1329 __GMP_DECLSPEC void mpf_inits (mpf_ptr, ...);
1330 
1331 #define mpf_init_set __gmpf_init_set
1332 __GMP_DECLSPEC void mpf_init_set (mpf_ptr, mpf_srcptr);
1333 
1334 #define mpf_init_set_d __gmpf_init_set_d
1335 __GMP_DECLSPEC void mpf_init_set_d (mpf_ptr, double);
1336 
1337 #define mpf_init_set_si __gmpf_init_set_si
1338 __GMP_DECLSPEC void mpf_init_set_si (mpf_ptr, signed long int);
1339 
1340 #define mpf_init_set_str __gmpf_init_set_str
1341 __GMP_DECLSPEC int mpf_init_set_str (mpf_ptr, const char *, int);
1342 
1343 #define mpf_init_set_ui __gmpf_init_set_ui
1344 __GMP_DECLSPEC void mpf_init_set_ui (mpf_ptr, unsigned long int);
1345 
1346 #define mpf_inp_str __gmpf_inp_str
1347 #ifdef _GMP_H_HAVE_FILE
1348 __GMP_DECLSPEC size_t mpf_inp_str (mpf_ptr, FILE *, int);
1349 #endif
1350 
1351 #define mpf_integer_p __gmpf_integer_p
1352 __GMP_DECLSPEC int mpf_integer_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1353 
1354 #define mpf_mul __gmpf_mul
1355 __GMP_DECLSPEC void mpf_mul (mpf_ptr, mpf_srcptr, mpf_srcptr);
1356 
1357 #define mpf_mul_2exp __gmpf_mul_2exp
1358 __GMP_DECLSPEC void mpf_mul_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
1359 
1360 #define mpf_mul_ui __gmpf_mul_ui
1361 __GMP_DECLSPEC void mpf_mul_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1362 
1363 #define mpf_neg __gmpf_neg
1364 __GMP_DECLSPEC void mpf_neg (mpf_ptr, mpf_srcptr);
1365 
1366 #define mpf_out_str __gmpf_out_str
1367 #ifdef _GMP_H_HAVE_FILE
1368 __GMP_DECLSPEC size_t mpf_out_str (FILE *, int, size_t, mpf_srcptr);
1369 #endif
1370 
1371 #define mpf_pow_ui __gmpf_pow_ui
1372 __GMP_DECLSPEC void mpf_pow_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1373 
1374 #define mpf_random2 __gmpf_random2
1375 __GMP_DECLSPEC void mpf_random2 (mpf_ptr, mp_size_t, mp_exp_t);
1376 
1377 #define mpf_reldiff __gmpf_reldiff
1378 __GMP_DECLSPEC void mpf_reldiff (mpf_ptr, mpf_srcptr, mpf_srcptr);
1379 
1380 #define mpf_set __gmpf_set
1381 __GMP_DECLSPEC void mpf_set (mpf_ptr, mpf_srcptr);
1382 
1383 #define mpf_set_d __gmpf_set_d
1384 __GMP_DECLSPEC void mpf_set_d (mpf_ptr, double);
1385 
1386 #define mpf_set_default_prec __gmpf_set_default_prec
1387 __GMP_DECLSPEC void mpf_set_default_prec (mp_bitcnt_t) __GMP_NOTHROW;
1388 
1389 #define mpf_set_prec __gmpf_set_prec
1390 __GMP_DECLSPEC void mpf_set_prec (mpf_ptr, mp_bitcnt_t);
1391 
1392 #define mpf_set_prec_raw __gmpf_set_prec_raw
1393 __GMP_DECLSPEC void mpf_set_prec_raw (mpf_ptr, mp_bitcnt_t) __GMP_NOTHROW;
1394 
1395 #define mpf_set_q __gmpf_set_q
1396 __GMP_DECLSPEC void mpf_set_q (mpf_ptr, mpq_srcptr);
1397 
1398 #define mpf_set_si __gmpf_set_si
1399 __GMP_DECLSPEC void mpf_set_si (mpf_ptr, signed long int);
1400 
1401 #define mpf_set_str __gmpf_set_str
1402 __GMP_DECLSPEC int mpf_set_str (mpf_ptr, const char *, int);
1403 
1404 #define mpf_set_ui __gmpf_set_ui
1405 __GMP_DECLSPEC void mpf_set_ui (mpf_ptr, unsigned long int);
1406 
1407 #define mpf_set_z __gmpf_set_z
1408 __GMP_DECLSPEC void mpf_set_z (mpf_ptr, mpz_srcptr);
1409 
1410 #define mpf_size __gmpf_size
1411 __GMP_DECLSPEC size_t mpf_size (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1412 
1413 #define mpf_sqrt __gmpf_sqrt
1414 __GMP_DECLSPEC void mpf_sqrt (mpf_ptr, mpf_srcptr);
1415 
1416 #define mpf_sqrt_ui __gmpf_sqrt_ui
1417 __GMP_DECLSPEC void mpf_sqrt_ui (mpf_ptr, unsigned long int);
1418 
1419 #define mpf_sub __gmpf_sub
1420 __GMP_DECLSPEC void mpf_sub (mpf_ptr, mpf_srcptr, mpf_srcptr);
1421 
1422 #define mpf_sub_ui __gmpf_sub_ui
1423 __GMP_DECLSPEC void mpf_sub_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1424 
1425 #define mpf_swap __gmpf_swap
1426 __GMP_DECLSPEC void mpf_swap (mpf_ptr, mpf_ptr) __GMP_NOTHROW;
1427 
1428 #define mpf_trunc __gmpf_trunc
1429 __GMP_DECLSPEC void mpf_trunc (mpf_ptr, mpf_srcptr);
1430 
1431 #define mpf_ui_div __gmpf_ui_div
1432 __GMP_DECLSPEC void mpf_ui_div (mpf_ptr, unsigned long int, mpf_srcptr);
1433 
1434 #define mpf_ui_sub __gmpf_ui_sub
1435 __GMP_DECLSPEC void mpf_ui_sub (mpf_ptr, unsigned long int, mpf_srcptr);
1436 
1437 #define mpf_urandomb __gmpf_urandomb
1438 __GMP_DECLSPEC void mpf_urandomb (mpf_t, gmp_randstate_t, mp_bitcnt_t);
1439 
1440 
1441 /************ Low level positive-integer (i.e. N) routines.  ************/
1442 
1443 /* This is ugly, but we need to make user calls reach the prefixed function. */
1444 
1445 #define mpn_add __MPN(add)
1446 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add)
1447 __GMP_DECLSPEC mp_limb_t mpn_add (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1448 #endif
1449 
1450 #define mpn_add_1 __MPN(add_1)
1451 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add_1)
1452 __GMP_DECLSPEC mp_limb_t mpn_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
1453 #endif
1454 
1455 #define mpn_add_n __MPN(add_n)
1456 __GMP_DECLSPEC mp_limb_t mpn_add_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1457 
1458 #define mpn_addmul_1 __MPN(addmul_1)
1459 __GMP_DECLSPEC mp_limb_t mpn_addmul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1460 
1461 #define mpn_cmp __MPN(cmp)
1462 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_cmp)
1463 __GMP_DECLSPEC int mpn_cmp (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1464 #endif
1465 
1466 #define mpn_divexact_by3(dst,src,size) \
1467   mpn_divexact_by3c (dst, src, size, __GMP_CAST (mp_limb_t, 0))
1468 
1469 #define mpn_divexact_by3c __MPN(divexact_by3c)
1470 __GMP_DECLSPEC mp_limb_t mpn_divexact_by3c (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1471 
1472 #define mpn_divmod_1(qp,np,nsize,dlimb) \
1473   mpn_divrem_1 (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dlimb)
1474 
1475 #define mpn_divrem __MPN(divrem)
1476 __GMP_DECLSPEC mp_limb_t mpn_divrem (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t);
1477 
1478 #define mpn_divrem_1 __MPN(divrem_1)
1479 __GMP_DECLSPEC mp_limb_t mpn_divrem_1 (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t);
1480 
1481 #define mpn_divrem_2 __MPN(divrem_2)
1482 __GMP_DECLSPEC mp_limb_t mpn_divrem_2 (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr);
1483 
1484 #define mpn_div_qr_2 __MPN(div_qr_2)
1485 __GMP_DECLSPEC mp_limb_t mpn_div_qr_2 (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
1486 
1487 #define mpn_gcd __MPN(gcd)
1488 __GMP_DECLSPEC mp_size_t mpn_gcd (mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
1489 
1490 #define mpn_gcd_1 __MPN(gcd_1)
1491 __GMP_DECLSPEC mp_limb_t mpn_gcd_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1492 
1493 #define mpn_gcdext_1 __MPN(gcdext_1)
1494 __GMP_DECLSPEC mp_limb_t mpn_gcdext_1 (mp_limb_signed_t *, mp_limb_signed_t *, mp_limb_t, mp_limb_t);
1495 
1496 #define mpn_gcdext __MPN(gcdext)
1497 __GMP_DECLSPEC mp_size_t mpn_gcdext (mp_ptr, mp_ptr, mp_size_t *, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
1498 
1499 #define mpn_get_str __MPN(get_str)
1500 __GMP_DECLSPEC size_t mpn_get_str (unsigned char *, int, mp_ptr, mp_size_t);
1501 
1502 #define mpn_hamdist __MPN(hamdist)
1503 __GMP_DECLSPEC mp_bitcnt_t mpn_hamdist (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1504 
1505 #define mpn_lshift __MPN(lshift)
1506 __GMP_DECLSPEC mp_limb_t mpn_lshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
1507 
1508 #define mpn_mod_1 __MPN(mod_1)
1509 __GMP_DECLSPEC mp_limb_t mpn_mod_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1510 
1511 #define mpn_mul __MPN(mul)
1512 __GMP_DECLSPEC mp_limb_t mpn_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1513 
1514 #define mpn_mul_1 __MPN(mul_1)
1515 __GMP_DECLSPEC mp_limb_t mpn_mul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1516 
1517 #define mpn_mul_n __MPN(mul_n)
1518 __GMP_DECLSPEC void mpn_mul_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1519 
1520 #define mpn_sqr __MPN(sqr)
1521 __GMP_DECLSPEC void mpn_sqr (mp_ptr, mp_srcptr, mp_size_t);
1522 
1523 #define mpn_neg __MPN(neg)
1524 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_neg)
1525 __GMP_DECLSPEC mp_limb_t mpn_neg (mp_ptr, mp_srcptr, mp_size_t);
1526 #endif
1527 
1528 #define mpn_com __MPN(com)
1529 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_com)
1530 __GMP_DECLSPEC void mpn_com (mp_ptr, mp_srcptr, mp_size_t);
1531 #endif
1532 
1533 #define mpn_perfect_square_p __MPN(perfect_square_p)
1534 __GMP_DECLSPEC int mpn_perfect_square_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
1535 
1536 #define mpn_perfect_power_p __MPN(perfect_power_p)
1537 __GMP_DECLSPEC int mpn_perfect_power_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
1538 
1539 #define mpn_popcount __MPN(popcount)
1540 __GMP_DECLSPEC mp_bitcnt_t mpn_popcount (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1541 
1542 #define mpn_pow_1 __MPN(pow_1)
1543 __GMP_DECLSPEC mp_size_t mpn_pow_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
1544 
1545 /* undocumented now, but retained here for upward compatibility */
1546 #define mpn_preinv_mod_1 __MPN(preinv_mod_1)
1547 __GMP_DECLSPEC mp_limb_t mpn_preinv_mod_1 (mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1548 
1549 #define mpn_random __MPN(random)
1550 __GMP_DECLSPEC void mpn_random (mp_ptr, mp_size_t);
1551 
1552 #define mpn_random2 __MPN(random2)
1553 __GMP_DECLSPEC void mpn_random2 (mp_ptr, mp_size_t);
1554 
1555 #define mpn_rshift __MPN(rshift)
1556 __GMP_DECLSPEC mp_limb_t mpn_rshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
1557 
1558 #define mpn_scan0 __MPN(scan0)
1559 __GMP_DECLSPEC mp_bitcnt_t mpn_scan0 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
1560 
1561 #define mpn_scan1 __MPN(scan1)
1562 __GMP_DECLSPEC mp_bitcnt_t mpn_scan1 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
1563 
1564 #define mpn_set_str __MPN(set_str)
1565 __GMP_DECLSPEC mp_size_t mpn_set_str (mp_ptr, const unsigned char *, size_t, int);
1566 
1567 #define mpn_sqrtrem __MPN(sqrtrem)
1568 __GMP_DECLSPEC mp_size_t mpn_sqrtrem (mp_ptr, mp_ptr, mp_srcptr, mp_size_t);
1569 
1570 #define mpn_sub __MPN(sub)
1571 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub)
1572 __GMP_DECLSPEC mp_limb_t mpn_sub (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1573 #endif
1574 
1575 #define mpn_sub_1 __MPN(sub_1)
1576 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub_1)
1577 __GMP_DECLSPEC mp_limb_t mpn_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
1578 #endif
1579 
1580 #define mpn_sub_n __MPN(sub_n)
1581 __GMP_DECLSPEC mp_limb_t mpn_sub_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1582 
1583 #define mpn_submul_1 __MPN(submul_1)
1584 __GMP_DECLSPEC mp_limb_t mpn_submul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1585 
1586 #define mpn_tdiv_qr __MPN(tdiv_qr)
1587 __GMP_DECLSPEC void mpn_tdiv_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1588 
1589 #define mpn_and_n __MPN(and_n)
1590 __GMP_DECLSPEC void mpn_and_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1591 #define mpn_andn_n __MPN(andn_n)
1592 __GMP_DECLSPEC void mpn_andn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1593 #define mpn_nand_n __MPN(nand_n)
1594 __GMP_DECLSPEC void mpn_nand_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1595 #define mpn_ior_n __MPN(ior_n)
1596 __GMP_DECLSPEC void mpn_ior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1597 #define mpn_iorn_n __MPN(iorn_n)
1598 __GMP_DECLSPEC void mpn_iorn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1599 #define mpn_nior_n __MPN(nior_n)
1600 __GMP_DECLSPEC void mpn_nior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1601 #define mpn_xor_n __MPN(xor_n)
1602 __GMP_DECLSPEC void mpn_xor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1603 #define mpn_xnor_n __MPN(xnor_n)
1604 __GMP_DECLSPEC void mpn_xnor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1605 
1606 #define mpn_copyi __MPN(copyi)
1607 __GMP_DECLSPEC void mpn_copyi (mp_ptr, mp_srcptr, mp_size_t);
1608 #define mpn_copyd __MPN(copyd)
1609 __GMP_DECLSPEC void mpn_copyd (mp_ptr, mp_srcptr, mp_size_t);
1610 #define mpn_zero __MPN(zero)
1611 __GMP_DECLSPEC void mpn_zero (mp_ptr, mp_size_t);
1612 
1613 /**************** mpz inlines ****************/
1614 
1615 /* The following are provided as inlines where possible, but always exist as
1616    library functions too, for binary compatibility.
1617 
1618    Within gmp itself this inlining generally isn't relied on, since it
1619    doesn't get done for all compilers, whereas if something is worth
1620    inlining then it's worth arranging always.
1621 
1622    There are two styles of inlining here.  When the same bit of code is
1623    wanted for the inline as for the library version, then __GMP_FORCE_foo
1624    arranges for that code to be emitted and the __GMP_EXTERN_INLINE
1625    directive suppressed, eg. mpz_fits_uint_p.  When a different bit of code
1626    is wanted for the inline than for the library version, then
1627    __GMP_FORCE_foo arranges the inline to be suppressed, eg. mpz_abs.  */
1628 
1629 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_abs)
1630 __GMP_EXTERN_INLINE void
mpz_abs(mpz_ptr __gmp_w,mpz_srcptr __gmp_u)1631 mpz_abs (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1632 {
1633   if (__gmp_w != __gmp_u)
1634     mpz_set (__gmp_w, __gmp_u);
1635   __gmp_w->_mp_size = __GMP_ABS (__gmp_w->_mp_size);
1636 }
1637 #endif
1638 
1639 #if GMP_NAIL_BITS == 0
1640 #define __GMPZ_FITS_UTYPE_P(z,maxval)					\
1641   mp_size_t  __gmp_n = z->_mp_size;					\
1642   mp_ptr  __gmp_p = z->_mp_d;						\
1643   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval));
1644 #else
1645 #define __GMPZ_FITS_UTYPE_P(z,maxval)					\
1646   mp_size_t  __gmp_n = z->_mp_size;					\
1647   mp_ptr  __gmp_p = z->_mp_d;						\
1648   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval)	\
1649 	  || (__gmp_n == 2 && __gmp_p[1] <= ((mp_limb_t) maxval >> GMP_NUMB_BITS)));
1650 #endif
1651 
1652 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_uint_p)
1653 #if ! defined (__GMP_FORCE_mpz_fits_uint_p)
1654 __GMP_EXTERN_INLINE
1655 #endif
1656 int
mpz_fits_uint_p(mpz_srcptr __gmp_z)1657 mpz_fits_uint_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1658 {
1659   __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_UINT_MAX);
1660 }
1661 #endif
1662 
1663 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ulong_p)
1664 #if ! defined (__GMP_FORCE_mpz_fits_ulong_p)
1665 __GMP_EXTERN_INLINE
1666 #endif
1667 int
mpz_fits_ulong_p(mpz_srcptr __gmp_z)1668 mpz_fits_ulong_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1669 {
1670   __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_ULONG_MAX);
1671 }
1672 #endif
1673 
1674 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ushort_p)
1675 #if ! defined (__GMP_FORCE_mpz_fits_ushort_p)
1676 __GMP_EXTERN_INLINE
1677 #endif
1678 int
mpz_fits_ushort_p(mpz_srcptr __gmp_z)1679 mpz_fits_ushort_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1680 {
1681   __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_USHRT_MAX);
1682 }
1683 #endif
1684 
1685 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_get_ui)
1686 #if ! defined (__GMP_FORCE_mpz_get_ui)
1687 __GMP_EXTERN_INLINE
1688 #endif
1689 unsigned long
mpz_get_ui(mpz_srcptr __gmp_z)1690 mpz_get_ui (mpz_srcptr __gmp_z) __GMP_NOTHROW
1691 {
1692   mp_ptr __gmp_p = __gmp_z->_mp_d;
1693   mp_size_t __gmp_n = __gmp_z->_mp_size;
1694   mp_limb_t __gmp_l = __gmp_p[0];
1695   /* This is a "#if" rather than a plain "if" so as to avoid gcc warnings
1696      about "<< GMP_NUMB_BITS" exceeding the type size, and to avoid Borland
1697      C++ 6.0 warnings about condition always true for something like
1698      "__GMP_ULONG_MAX < GMP_NUMB_MASK".  */
1699 #if GMP_NAIL_BITS == 0 || defined (_LONG_LONG_LIMB)
1700   /* limb==long and no nails, or limb==longlong, one limb is enough */
1701   return (__gmp_n != 0 ? __gmp_l : 0);
1702 #else
1703   /* limb==long and nails, need two limbs when available */
1704   __gmp_n = __GMP_ABS (__gmp_n);
1705   if (__gmp_n <= 1)
1706     return (__gmp_n != 0 ? __gmp_l : 0);
1707   else
1708     return __gmp_l + (__gmp_p[1] << GMP_NUMB_BITS);
1709 #endif
1710 }
1711 #endif
1712 
1713 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_getlimbn)
1714 #if ! defined (__GMP_FORCE_mpz_getlimbn)
1715 __GMP_EXTERN_INLINE
1716 #endif
1717 mp_limb_t
mpz_getlimbn(mpz_srcptr __gmp_z,mp_size_t __gmp_n)1718 mpz_getlimbn (mpz_srcptr __gmp_z, mp_size_t __gmp_n) __GMP_NOTHROW
1719 {
1720   mp_limb_t  __gmp_result = 0;
1721   if (__GMP_LIKELY (__gmp_n >= 0 && __gmp_n < __GMP_ABS (__gmp_z->_mp_size)))
1722     __gmp_result = __gmp_z->_mp_d[__gmp_n];
1723   return __gmp_result;
1724 }
1725 #endif
1726 
1727 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_neg)
1728 __GMP_EXTERN_INLINE void
mpz_neg(mpz_ptr __gmp_w,mpz_srcptr __gmp_u)1729 mpz_neg (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1730 {
1731   if (__gmp_w != __gmp_u)
1732     mpz_set (__gmp_w, __gmp_u);
1733   __gmp_w->_mp_size = - __gmp_w->_mp_size;
1734 }
1735 #endif
1736 
1737 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_perfect_square_p)
1738 #if ! defined (__GMP_FORCE_mpz_perfect_square_p)
1739 __GMP_EXTERN_INLINE
1740 #endif
1741 int
mpz_perfect_square_p(mpz_srcptr __gmp_a)1742 mpz_perfect_square_p (mpz_srcptr __gmp_a)
1743 {
1744   mp_size_t __gmp_asize;
1745   int       __gmp_result;
1746 
1747   __gmp_asize = __gmp_a->_mp_size;
1748   __gmp_result = (__gmp_asize >= 0);  /* zero is a square, negatives are not */
1749   if (__GMP_LIKELY (__gmp_asize > 0))
1750     __gmp_result = mpn_perfect_square_p (__gmp_a->_mp_d, __gmp_asize);
1751   return __gmp_result;
1752 }
1753 #endif
1754 
1755 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_popcount)
1756 #if ! defined (__GMP_FORCE_mpz_popcount)
1757 __GMP_EXTERN_INLINE
1758 #endif
1759 mp_bitcnt_t
mpz_popcount(mpz_srcptr __gmp_u)1760 mpz_popcount (mpz_srcptr __gmp_u) __GMP_NOTHROW
1761 {
1762   mp_size_t      __gmp_usize;
1763   mp_bitcnt_t    __gmp_result;
1764 
1765   __gmp_usize = __gmp_u->_mp_size;
1766   __gmp_result = (__gmp_usize < 0 ? __GMP_ULONG_MAX : 0);
1767   if (__GMP_LIKELY (__gmp_usize > 0))
1768     __gmp_result =  mpn_popcount (__gmp_u->_mp_d, __gmp_usize);
1769   return __gmp_result;
1770 }
1771 #endif
1772 
1773 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_set_q)
1774 #if ! defined (__GMP_FORCE_mpz_set_q)
1775 __GMP_EXTERN_INLINE
1776 #endif
1777 void
mpz_set_q(mpz_ptr __gmp_w,mpq_srcptr __gmp_u)1778 mpz_set_q (mpz_ptr __gmp_w, mpq_srcptr __gmp_u)
1779 {
1780   mpz_tdiv_q (__gmp_w, mpq_numref (__gmp_u), mpq_denref (__gmp_u));
1781 }
1782 #endif
1783 
1784 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_size)
1785 #if ! defined (__GMP_FORCE_mpz_size)
1786 __GMP_EXTERN_INLINE
1787 #endif
1788 size_t
mpz_size(mpz_srcptr __gmp_z)1789 mpz_size (mpz_srcptr __gmp_z) __GMP_NOTHROW
1790 {
1791   return __GMP_ABS (__gmp_z->_mp_size);
1792 }
1793 #endif
1794 
1795 
1796 /**************** mpq inlines ****************/
1797 
1798 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_abs)
1799 __GMP_EXTERN_INLINE void
mpq_abs(mpq_ptr __gmp_w,mpq_srcptr __gmp_u)1800 mpq_abs (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1801 {
1802   if (__gmp_w != __gmp_u)
1803     mpq_set (__gmp_w, __gmp_u);
1804   __gmp_w->_mp_num._mp_size = __GMP_ABS (__gmp_w->_mp_num._mp_size);
1805 }
1806 #endif
1807 
1808 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_neg)
1809 __GMP_EXTERN_INLINE void
mpq_neg(mpq_ptr __gmp_w,mpq_srcptr __gmp_u)1810 mpq_neg (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1811 {
1812   if (__gmp_w != __gmp_u)
1813     mpq_set (__gmp_w, __gmp_u);
1814   __gmp_w->_mp_num._mp_size = - __gmp_w->_mp_num._mp_size;
1815 }
1816 #endif
1817 
1818 
1819 /**************** mpn inlines ****************/
1820 
1821 /* The comments with __GMPN_ADD_1 below apply here too.
1822 
1823    The test for FUNCTION returning 0 should predict well.  If it's assumed
1824    {yp,ysize} will usually have a random number of bits then the high limb
1825    won't be full and a carry out will occur a good deal less than 50% of the
1826    time.
1827 
1828    ysize==0 isn't a documented feature, but is used internally in a few
1829    places.
1830 
1831    Producing cout last stops it using up a register during the main part of
1832    the calculation, though gcc (as of 3.0) on an "if (mpn_add (...))"
1833    doesn't seem able to move the true and false legs of the conditional up
1834    to the two places cout is generated.  */
1835 
1836 #define __GMPN_AORS(cout, wp, xp, xsize, yp, ysize, FUNCTION, TEST)     \
1837   do {                                                                  \
1838     mp_size_t  __gmp_i;                                                 \
1839     mp_limb_t  __gmp_x;                                                 \
1840                                                                         \
1841     /* ASSERT ((ysize) >= 0); */                                        \
1842     /* ASSERT ((xsize) >= (ysize)); */                                  \
1843     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, xp, xsize)); */      \
1844     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, yp, ysize)); */      \
1845                                                                         \
1846     __gmp_i = (ysize);                                                  \
1847     if (__gmp_i != 0)                                                   \
1848       {                                                                 \
1849         if (FUNCTION (wp, xp, yp, __gmp_i))                             \
1850           {                                                             \
1851             do                                                          \
1852               {                                                         \
1853                 if (__gmp_i >= (xsize))                                 \
1854                   {                                                     \
1855                     (cout) = 1;                                         \
1856                     goto __gmp_done;                                    \
1857                   }                                                     \
1858                 __gmp_x = (xp)[__gmp_i];                                \
1859               }                                                         \
1860             while (TEST);                                               \
1861           }                                                             \
1862       }                                                                 \
1863     if ((wp) != (xp))                                                   \
1864       __GMPN_COPY_REST (wp, xp, xsize, __gmp_i);                        \
1865     (cout) = 0;                                                         \
1866   __gmp_done:                                                           \
1867     ;                                                                   \
1868   } while (0)
1869 
1870 #define __GMPN_ADD(cout, wp, xp, xsize, yp, ysize)              \
1871   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_add_n,       \
1872                (((wp)[__gmp_i++] = (__gmp_x + 1) & GMP_NUMB_MASK) == 0))
1873 #define __GMPN_SUB(cout, wp, xp, xsize, yp, ysize)              \
1874   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_sub_n,       \
1875                (((wp)[__gmp_i++] = (__gmp_x - 1) & GMP_NUMB_MASK), __gmp_x == 0))
1876 
1877 
1878 /* The use of __gmp_i indexing is designed to ensure a compile time src==dst
1879    remains nice and clear to the compiler, so that __GMPN_COPY_REST can
1880    disappear, and the load/add/store gets a chance to become a
1881    read-modify-write on CISC CPUs.
1882 
1883    Alternatives:
1884 
1885    Using a pair of pointers instead of indexing would be possible, but gcc
1886    isn't able to recognise compile-time src==dst in that case, even when the
1887    pointers are incremented more or less together.  Other compilers would
1888    very likely have similar difficulty.
1889 
1890    gcc could use "if (__builtin_constant_p(src==dst) && src==dst)" or
1891    similar to detect a compile-time src==dst.  This works nicely on gcc
1892    2.95.x, it's not good on gcc 3.0 where __builtin_constant_p(p==p) seems
1893    to be always false, for a pointer p.  But the current code form seems
1894    good enough for src==dst anyway.
1895 
1896    gcc on x86 as usual doesn't give particularly good flags handling for the
1897    carry/borrow detection.  It's tempting to want some multi instruction asm
1898    blocks to help it, and this was tried, but in truth there's only a few
1899    instructions to save and any gain is all too easily lost by register
1900    juggling setting up for the asm.  */
1901 
1902 #if GMP_NAIL_BITS == 0
1903 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
1904   do {								\
1905     mp_size_t  __gmp_i;						\
1906     mp_limb_t  __gmp_x, __gmp_r;                                \
1907 								\
1908     /* ASSERT ((n) >= 1); */					\
1909     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
1910 								\
1911     __gmp_x = (src)[0];						\
1912     __gmp_r = __gmp_x OP (v);                                   \
1913     (dst)[0] = __gmp_r;						\
1914     if (CB (__gmp_r, __gmp_x, (v)))                             \
1915       {								\
1916 	(cout) = 1;						\
1917 	for (__gmp_i = 1; __gmp_i < (n);)                       \
1918 	  {							\
1919 	    __gmp_x = (src)[__gmp_i];                           \
1920 	    __gmp_r = __gmp_x OP 1;                             \
1921 	    (dst)[__gmp_i] = __gmp_r;                           \
1922 	    ++__gmp_i;						\
1923 	    if (!CB (__gmp_r, __gmp_x, 1))                      \
1924 	      {							\
1925 		if ((src) != (dst))				\
1926 		  __GMPN_COPY_REST (dst, src, n, __gmp_i);      \
1927 		(cout) = 0;					\
1928 		break;						\
1929 	      }							\
1930 	  }							\
1931       }								\
1932     else							\
1933       {								\
1934 	if ((src) != (dst))					\
1935 	  __GMPN_COPY_REST (dst, src, n, 1);			\
1936 	(cout) = 0;						\
1937       }								\
1938   } while (0)
1939 #endif
1940 
1941 #if GMP_NAIL_BITS >= 1
1942 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
1943   do {								\
1944     mp_size_t  __gmp_i;						\
1945     mp_limb_t  __gmp_x, __gmp_r;				\
1946 								\
1947     /* ASSERT ((n) >= 1); */					\
1948     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
1949 								\
1950     __gmp_x = (src)[0];						\
1951     __gmp_r = __gmp_x OP (v);					\
1952     (dst)[0] = __gmp_r & GMP_NUMB_MASK;				\
1953     if (__gmp_r >> GMP_NUMB_BITS != 0)				\
1954       {								\
1955 	(cout) = 1;						\
1956 	for (__gmp_i = 1; __gmp_i < (n);)			\
1957 	  {							\
1958 	    __gmp_x = (src)[__gmp_i];				\
1959 	    __gmp_r = __gmp_x OP 1;				\
1960 	    (dst)[__gmp_i] = __gmp_r & GMP_NUMB_MASK;		\
1961 	    ++__gmp_i;						\
1962 	    if (__gmp_r >> GMP_NUMB_BITS == 0)			\
1963 	      {							\
1964 		if ((src) != (dst))				\
1965 		  __GMPN_COPY_REST (dst, src, n, __gmp_i);	\
1966 		(cout) = 0;					\
1967 		break;						\
1968 	      }							\
1969 	  }							\
1970       }								\
1971     else							\
1972       {								\
1973 	if ((src) != (dst))					\
1974 	  __GMPN_COPY_REST (dst, src, n, 1);			\
1975 	(cout) = 0;						\
1976       }								\
1977   } while (0)
1978 #endif
1979 
1980 #define __GMPN_ADDCB(r,x,y) ((r) < (y))
1981 #define __GMPN_SUBCB(r,x,y) ((x) < (y))
1982 
1983 #define __GMPN_ADD_1(cout, dst, src, n, v)	     \
1984   __GMPN_AORS_1(cout, dst, src, n, v, +, __GMPN_ADDCB)
1985 #define __GMPN_SUB_1(cout, dst, src, n, v)	     \
1986   __GMPN_AORS_1(cout, dst, src, n, v, -, __GMPN_SUBCB)
1987 
1988 
1989 /* Compare {xp,size} and {yp,size}, setting "result" to positive, zero or
1990    negative.  size==0 is allowed.  On random data usually only one limb will
1991    need to be examined to get a result, so it's worth having it inline.  */
1992 #define __GMPN_CMP(result, xp, yp, size)                                \
1993   do {                                                                  \
1994     mp_size_t  __gmp_i;                                                 \
1995     mp_limb_t  __gmp_x, __gmp_y;                                        \
1996                                                                         \
1997     /* ASSERT ((size) >= 0); */                                         \
1998                                                                         \
1999     (result) = 0;                                                       \
2000     __gmp_i = (size);                                                   \
2001     while (--__gmp_i >= 0)                                              \
2002       {                                                                 \
2003         __gmp_x = (xp)[__gmp_i];                                        \
2004         __gmp_y = (yp)[__gmp_i];                                        \
2005         if (__gmp_x != __gmp_y)                                         \
2006           {                                                             \
2007             /* Cannot use __gmp_x - __gmp_y, may overflow an "int" */   \
2008             (result) = (__gmp_x > __gmp_y ? 1 : -1);                    \
2009             break;                                                      \
2010           }                                                             \
2011       }                                                                 \
2012   } while (0)
2013 
2014 
2015 #if defined (__GMPN_COPY) && ! defined (__GMPN_COPY_REST)
2016 #define __GMPN_COPY_REST(dst, src, size, start)                 \
2017   do {                                                          \
2018     /* ASSERT ((start) >= 0); */                                \
2019     /* ASSERT ((start) <= (size)); */                           \
2020     __GMPN_COPY ((dst)+(start), (src)+(start), (size)-(start)); \
2021   } while (0)
2022 #endif
2023 
2024 /* Copy {src,size} to {dst,size}, starting at "start".  This is designed to
2025    keep the indexing dst[j] and src[j] nice and simple for __GMPN_ADD_1,
2026    __GMPN_ADD, etc.  */
2027 #if ! defined (__GMPN_COPY_REST)
2028 #define __GMPN_COPY_REST(dst, src, size, start)                 \
2029   do {                                                          \
2030     mp_size_t __gmp_j;                                          \
2031     /* ASSERT ((size) >= 0); */                                 \
2032     /* ASSERT ((start) >= 0); */                                \
2033     /* ASSERT ((start) <= (size)); */                           \
2034     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */     \
2035     __GMP_CRAY_Pragma ("_CRI ivdep");                           \
2036     for (__gmp_j = (start); __gmp_j < (size); __gmp_j++)        \
2037       (dst)[__gmp_j] = (src)[__gmp_j];                          \
2038   } while (0)
2039 #endif
2040 
2041 /* Enhancement: Use some of the smarter code from gmp-impl.h.  Maybe use
2042    mpn_copyi if there's a native version, and if we don't mind demanding
2043    binary compatibility for it (on targets which use it).  */
2044 
2045 #if ! defined (__GMPN_COPY)
2046 #define __GMPN_COPY(dst, src, size)   __GMPN_COPY_REST (dst, src, size, 0)
2047 #endif
2048 
2049 
2050 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add)
2051 #if ! defined (__GMP_FORCE_mpn_add)
2052 __GMP_EXTERN_INLINE
2053 #endif
2054 mp_limb_t
mpn_add(mp_ptr __gmp_wp,mp_srcptr __gmp_xp,mp_size_t __gmp_xsize,mp_srcptr __gmp_yp,mp_size_t __gmp_ysize)2055 mpn_add (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2056 {
2057   mp_limb_t  __gmp_c;
2058   __GMPN_ADD (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2059   return __gmp_c;
2060 }
2061 #endif
2062 
2063 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add_1)
2064 #if ! defined (__GMP_FORCE_mpn_add_1)
2065 __GMP_EXTERN_INLINE
2066 #endif
2067 mp_limb_t
mpn_add_1(mp_ptr __gmp_dst,mp_srcptr __gmp_src,mp_size_t __gmp_size,mp_limb_t __gmp_n)2068 mpn_add_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2069 {
2070   mp_limb_t  __gmp_c;
2071   __GMPN_ADD_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2072   return __gmp_c;
2073 }
2074 #endif
2075 
2076 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_cmp)
2077 #if ! defined (__GMP_FORCE_mpn_cmp)
2078 __GMP_EXTERN_INLINE
2079 #endif
2080 int
mpn_cmp(mp_srcptr __gmp_xp,mp_srcptr __gmp_yp,mp_size_t __gmp_size)2081 mpn_cmp (mp_srcptr __gmp_xp, mp_srcptr __gmp_yp, mp_size_t __gmp_size) __GMP_NOTHROW
2082 {
2083   int __gmp_result;
2084   __GMPN_CMP (__gmp_result, __gmp_xp, __gmp_yp, __gmp_size);
2085   return __gmp_result;
2086 }
2087 #endif
2088 
2089 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub)
2090 #if ! defined (__GMP_FORCE_mpn_sub)
2091 __GMP_EXTERN_INLINE
2092 #endif
2093 mp_limb_t
mpn_sub(mp_ptr __gmp_wp,mp_srcptr __gmp_xp,mp_size_t __gmp_xsize,mp_srcptr __gmp_yp,mp_size_t __gmp_ysize)2094 mpn_sub (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2095 {
2096   mp_limb_t  __gmp_c;
2097   __GMPN_SUB (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2098   return __gmp_c;
2099 }
2100 #endif
2101 
2102 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub_1)
2103 #if ! defined (__GMP_FORCE_mpn_sub_1)
2104 __GMP_EXTERN_INLINE
2105 #endif
2106 mp_limb_t
mpn_sub_1(mp_ptr __gmp_dst,mp_srcptr __gmp_src,mp_size_t __gmp_size,mp_limb_t __gmp_n)2107 mpn_sub_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2108 {
2109   mp_limb_t  __gmp_c;
2110   __GMPN_SUB_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2111   return __gmp_c;
2112 }
2113 #endif
2114 
2115 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_neg)
2116 #if ! defined (__GMP_FORCE_mpn_neg)
2117 __GMP_EXTERN_INLINE
2118 #endif
2119 mp_limb_t
mpn_neg(mp_ptr __gmp_rp,mp_srcptr __gmp_up,mp_size_t __gmp_n)2120 mpn_neg (mp_ptr __gmp_rp, mp_srcptr __gmp_up, mp_size_t __gmp_n)
2121 {
2122   mp_limb_t __gmp_ul, __gmp_cy;
2123   __gmp_cy = 0;
2124   do {
2125       __gmp_ul = *__gmp_up++;
2126       *__gmp_rp++ = -__gmp_ul - __gmp_cy;
2127       __gmp_cy |= __gmp_ul != 0;
2128   } while (--__gmp_n != 0);
2129   return __gmp_cy;
2130 }
2131 #endif
2132 
2133 #if defined (__cplusplus)
2134 }
2135 #endif
2136 
2137 
2138 /* Allow faster testing for negative, zero, and positive.  */
2139 #define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0)
2140 #define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0)
2141 #define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0)
2142 
2143 /* When using GCC, optimize certain common comparisons.  */
2144 #if defined (__GNUC__) && __GNUC__ >= 2
2145 #define mpz_cmp_ui(Z,UI) \
2146   (__builtin_constant_p (UI) && (UI) == 0				\
2147    ? mpz_sgn (Z) : _mpz_cmp_ui (Z,UI))
2148 #define mpz_cmp_si(Z,SI) \
2149   (__builtin_constant_p (SI) && (SI) == 0 ? mpz_sgn (Z)			\
2150    : __builtin_constant_p (SI) && (SI) > 0				\
2151     ? _mpz_cmp_ui (Z, __GMP_CAST (unsigned long int, SI))		\
2152    : _mpz_cmp_si (Z,SI))
2153 #define mpq_cmp_ui(Q,NUI,DUI) \
2154   (__builtin_constant_p (NUI) && (NUI) == 0				\
2155    ? mpq_sgn (Q) : _mpq_cmp_ui (Q,NUI,DUI))
2156 #define mpq_cmp_si(q,n,d)                       \
2157   (__builtin_constant_p ((n) >= 0) && (n) >= 0  \
2158    ? mpq_cmp_ui (q, __GMP_CAST (unsigned long, n), d) \
2159    : _mpq_cmp_si (q, n, d))
2160 #else
2161 #define mpz_cmp_ui(Z,UI) _mpz_cmp_ui (Z,UI)
2162 #define mpz_cmp_si(Z,UI) _mpz_cmp_si (Z,UI)
2163 #define mpq_cmp_ui(Q,NUI,DUI) _mpq_cmp_ui (Q,NUI,DUI)
2164 #define mpq_cmp_si(q,n,d)  _mpq_cmp_si(q,n,d)
2165 #endif
2166 
2167 
2168 /* Using "&" rather than "&&" means these can come out branch-free.  Every
2169    mpz_t has at least one limb allocated, so fetching the low limb is always
2170    allowed.  */
2171 #define mpz_odd_p(z)   (((z)->_mp_size != 0) & __GMP_CAST (int, (z)->_mp_d[0]))
2172 #define mpz_even_p(z)  (! mpz_odd_p (z))
2173 
2174 
2175 /**************** C++ routines ****************/
2176 
2177 #ifdef __cplusplus
2178 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpz_srcptr);
2179 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpq_srcptr);
2180 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpf_srcptr);
2181 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpz_ptr);
2182 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpq_ptr);
2183 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpf_ptr);
2184 #endif
2185 
2186 
2187 /* Source-level compatibility with GMP 2 and earlier. */
2188 #define mpn_divmod(qp,np,nsize,dp,dsize) \
2189   mpn_divrem (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dp, dsize)
2190 
2191 /* Source-level compatibility with GMP 1.  */
2192 #define mpz_mdiv	mpz_fdiv_q
2193 #define mpz_mdivmod	mpz_fdiv_qr
2194 #define mpz_mmod	mpz_fdiv_r
2195 #define mpz_mdiv_ui	mpz_fdiv_q_ui
2196 #define mpz_mdivmod_ui(q,r,n,d) \
2197   (((r) == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d))
2198 #define mpz_mmod_ui(r,n,d) \
2199   (((r) == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d))
2200 
2201 /* Useful synonyms, but not quite compatible with GMP 1.  */
2202 #define mpz_div		mpz_fdiv_q
2203 #define mpz_divmod	mpz_fdiv_qr
2204 #define mpz_div_ui	mpz_fdiv_q_ui
2205 #define mpz_divmod_ui	mpz_fdiv_qr_ui
2206 #define mpz_div_2exp	mpz_fdiv_q_2exp
2207 #define mpz_mod_2exp	mpz_fdiv_r_2exp
2208 
2209 enum
2210 {
2211   GMP_ERROR_NONE = 0,
2212   GMP_ERROR_UNSUPPORTED_ARGUMENT = 1,
2213   GMP_ERROR_DIVISION_BY_ZERO = 2,
2214   GMP_ERROR_SQRT_OF_NEGATIVE = 4,
2215   GMP_ERROR_INVALID_ARGUMENT = 8
2216 };
2217 
2218 /* Define CC and CFLAGS which were used to build this version of GMP */
2219 #define __GMP_CC "gcc -std=gnu99"
2220 #define __GMP_CFLAGS "-marm -O2 -pedantic -fomit-frame-pointer"
2221 
2222 /* Major version number is the value of __GNU_MP__ too, above and in mp.h. */
2223 #define __GNU_MP_VERSION            5
2224 #define __GNU_MP_VERSION_MINOR      1
2225 #define __GNU_MP_VERSION_PATCHLEVEL 3
2226 #define __GNU_MP_RELEASE (__GNU_MP_VERSION * 10000 + __GNU_MP_VERSION_MINOR * 100 + __GNU_MP_VERSION_PATCHLEVEL)
2227 
2228 #define __GMP_H__
2229 #endif /* __GMP_H__ */
2230