1 /* Definitions for GNU multiple precision functions.   -*- mode: c -*-
2 
3 Copyright 1991, 1993, 1994, 1995, 1996, 1997, 1999, 2000, 2001, 2002, 2003,
4 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012 Free Software Foundation,
5 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                      64
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 /* __STDC__ - some ANSI compilers define this only to 0, hence the use of
65        "defined" and not "__STDC__-0".  In particular Sun workshop C 5.0
66        sets __STDC__ to 0, but requires "##" for token pasting.
67 
68    _AIX - gnu ansidecl.h asserts that all known AIX compilers are ANSI but
69        don't always define __STDC__.
70 
71    __DECC - current versions of DEC C (5.9 for instance) for alpha are ANSI,
72        but don't define __STDC__ in their default mode.  Don't know if old
73        versions might have been K&R, but let's not worry about that unless
74        someone is still using one.
75 
76    _mips - gnu ansidecl.h says the RISC/OS MIPS compiler is ANSI in SVR4
77        mode, but doesn't define __STDC__.
78 
79    _MSC_VER - Microsoft C is ANSI, but __STDC__ is undefined unless the /Za
80        option is given (in which case it's 1).
81 
82    _WIN32 - tested for by gnu ansidecl.h, no doubt on the assumption that
83       all w32 compilers are ansi.
84 
85    Note: This same set of tests is used by gen-psqr.c and
86    demos/expr/expr-impl.h, so if anything needs adding, then be sure to
87    update those too.  */
88 
89 #if  defined (__STDC__)                                 \
90   || defined (__cplusplus)                              \
91   || defined (_AIX)                                     \
92   || defined (__DECC)                                   \
93   || (defined (__mips) && defined (_SYSTYPE_SVR4))      \
94   || defined (_MSC_VER)                                 \
95   || defined (_WIN32)
96 #define __GMP_HAVE_CONST        1
97 #define __GMP_HAVE_PROTOTYPES   1
98 #define __GMP_HAVE_TOKEN_PASTE  1
99 #else
100 #define __GMP_HAVE_CONST        0
101 #define __GMP_HAVE_PROTOTYPES   0
102 #define __GMP_HAVE_TOKEN_PASTE  0
103 #endif
104 
105 
106 #if __GMP_HAVE_CONST
107 #define __gmp_const   const
108 #define __gmp_signed  signed
109 #else
110 #define __gmp_const
111 #define __gmp_signed
112 #endif
113 
114 
115 /* __GMP_DECLSPEC supports Windows DLL versions of libgmp, and is empty in
116    all other circumstances.
117 
118    When compiling objects for libgmp, __GMP_DECLSPEC is an export directive,
119    or when compiling for an application it's an import directive.  The two
120    cases are differentiated by __GMP_WITHIN_GMP defined by the GMP Makefiles
121    (and not defined from an application).
122 
123    __GMP_DECLSPEC_XX is similarly used for libgmpxx.  __GMP_WITHIN_GMPXX
124    indicates when building libgmpxx, and in that case libgmpxx functions are
125    exports, but libgmp functions which might get called are imports.
126 
127    Libtool DLL_EXPORT define is not used.
128 
129    There's no attempt to support GMP built both static and DLL.  Doing so
130    would mean applications would have to tell us which of the two is going
131    to be used when linking, and that seems very tedious and error prone if
132    using GMP by hand, and equally tedious from a package since autoconf and
133    automake don't give much help.
134 
135    __GMP_DECLSPEC is required on all documented global functions and
136    variables, the various internals in gmp-impl.h etc can be left unadorned.
137    But internals used by the test programs or speed measuring programs
138    should have __GMP_DECLSPEC, and certainly constants or variables must
139    have it or the wrong address will be resolved.
140 
141    In gcc __declspec can go at either the start or end of a prototype.
142 
143    In Microsoft C __declspec must go at the start, or after the type like
144    void __declspec(...) *foo()".  There's no __dllexport or anything to
145    guard against someone foolish #defining dllexport.  _export used to be
146    available, but no longer.
147 
148    In Borland C _export still exists, but needs to go after the type, like
149    "void _export foo();".  Would have to change the __GMP_DECLSPEC syntax to
150    make use of that.  Probably more trouble than it's worth.  */
151 
152 #if defined (__GNUC__)
153 #define __GMP_DECLSPEC_EXPORT  __declspec(__dllexport__)
154 #define __GMP_DECLSPEC_IMPORT  __declspec(__dllimport__)
155 #endif
156 #if defined (_MSC_VER) || defined (__BORLANDC__)
157 #define __GMP_DECLSPEC_EXPORT  __declspec(dllexport)
158 #define __GMP_DECLSPEC_IMPORT  __declspec(dllimport)
159 #endif
160 #ifdef __WATCOMC__
161 #define __GMP_DECLSPEC_EXPORT  __export
162 #define __GMP_DECLSPEC_IMPORT  __import
163 #endif
164 #ifdef __IBMC__
165 #define __GMP_DECLSPEC_EXPORT  _Export
166 #define __GMP_DECLSPEC_IMPORT  _Import
167 #endif
168 
169 #if __GMP_LIBGMP_DLL
170 #if __GMP_WITHIN_GMP
171 /* compiling to go into a DLL libgmp */
172 #define __GMP_DECLSPEC  __GMP_DECLSPEC_EXPORT
173 #else
174 /* compiling to go into an application which will link to a DLL libgmp */
175 #define __GMP_DECLSPEC  __GMP_DECLSPEC_IMPORT
176 #endif
177 #else
178 /* all other cases */
179 #define __GMP_DECLSPEC
180 #endif
181 
182 
183 #ifdef __GMP_SHORT_LIMB
184 typedef unsigned int		mp_limb_t;
185 typedef int			mp_limb_signed_t;
186 #else
187 #ifdef _LONG_LONG_LIMB
188 typedef unsigned long long int	mp_limb_t;
189 typedef long long int		mp_limb_signed_t;
190 #else
191 typedef unsigned long int	mp_limb_t;
192 typedef long int		mp_limb_signed_t;
193 #endif
194 #endif
195 typedef unsigned long int	mp_bitcnt_t;
196 
197 /* For reference, note that the name __mpz_struct gets into C++ mangled
198    function names, which means although the "__" suggests an internal, we
199    must leave this name for binary compatibility.  */
200 typedef struct
201 {
202   int _mp_alloc;		/* Number of *limbs* allocated and pointed
203 				   to by the _mp_d field.  */
204   int _mp_size;			/* abs(_mp_size) is the number of limbs the
205 				   last field points to.  If _mp_size is
206 				   negative this is a negative number.  */
207   mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
208 } __mpz_struct;
209 
210 #endif /* __GNU_MP__ */
211 
212 
213 typedef __mpz_struct MP_INT;    /* gmp 1 source compatibility */
214 typedef __mpz_struct mpz_t[1];
215 
216 typedef mp_limb_t *		mp_ptr;
217 typedef __gmp_const mp_limb_t *	mp_srcptr;
218 #if defined (_CRAY) && ! defined (_CRAYMPP)
219 /* plain `int' is much faster (48 bits) */
220 #define __GMP_MP_SIZE_T_INT     1
221 typedef int			mp_size_t;
222 typedef int			mp_exp_t;
223 #else
224 #define __GMP_MP_SIZE_T_INT     0
225 typedef long int		mp_size_t;
226 typedef long int		mp_exp_t;
227 #endif
228 
229 typedef struct
230 {
231   __mpz_struct _mp_num;
232   __mpz_struct _mp_den;
233 } __mpq_struct;
234 
235 typedef __mpq_struct MP_RAT;    /* gmp 1 source compatibility */
236 typedef __mpq_struct mpq_t[1];
237 
238 typedef struct
239 {
240   int _mp_prec;			/* Max precision, in number of `mp_limb_t's.
241 				   Set by mpf_init and modified by
242 				   mpf_set_prec.  The area pointed to by the
243 				   _mp_d field contains `prec' + 1 limbs.  */
244   int _mp_size;			/* abs(_mp_size) is the number of limbs the
245 				   last field points to.  If _mp_size is
246 				   negative this is a negative number.  */
247   mp_exp_t _mp_exp;		/* Exponent, in the base of `mp_limb_t'.  */
248   mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
249 } __mpf_struct;
250 
251 /* typedef __mpf_struct MP_FLOAT; */
252 typedef __mpf_struct mpf_t[1];
253 
254 /* Available random number generation algorithms.  */
255 typedef enum
256 {
257   GMP_RAND_ALG_DEFAULT = 0,
258   GMP_RAND_ALG_LC = GMP_RAND_ALG_DEFAULT /* Linear congruential.  */
259 } gmp_randalg_t;
260 
261 /* Random state struct.  */
262 typedef struct
263 {
264   mpz_t _mp_seed;	  /* _mp_d member points to state of the generator. */
265   gmp_randalg_t _mp_alg;  /* Currently unused. */
266   union {
267     void *_mp_lc;         /* Pointer to function pointers structure.  */
268   } _mp_algdata;
269 } __gmp_randstate_struct;
270 typedef __gmp_randstate_struct gmp_randstate_t[1];
271 
272 /* Types for function declarations in gmp files.  */
273 /* ??? Should not pollute user name space with these ??? */
274 typedef __gmp_const __mpz_struct *mpz_srcptr;
275 typedef __mpz_struct *mpz_ptr;
276 typedef __gmp_const __mpf_struct *mpf_srcptr;
277 typedef __mpf_struct *mpf_ptr;
278 typedef __gmp_const __mpq_struct *mpq_srcptr;
279 typedef __mpq_struct *mpq_ptr;
280 
281 
282 /* This is not wanted in mp.h, so put it outside the __GNU_MP__ common
283    section. */
284 #if __GMP_LIBGMP_DLL
285 #if __GMP_WITHIN_GMPXX
286 /* compiling to go into a DLL libgmpxx */
287 #define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_EXPORT
288 #else
289 /* compiling to go into a application which will link to a DLL libgmpxx */
290 #define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_IMPORT
291 #endif
292 #else
293 /* all other cases */
294 #define __GMP_DECLSPEC_XX
295 #endif
296 
297 
298 #if __GMP_HAVE_PROTOTYPES
299 #define __GMP_PROTO(x) x
300 #else
301 #define __GMP_PROTO(x) ()
302 #endif
303 
304 #ifndef __MPN
305 #if __GMP_HAVE_TOKEN_PASTE
306 #define __MPN(x) __gmpn_##x
307 #else
308 #define __MPN(x) __gmpn_/**/x
309 #endif
310 #endif
311 
312 /* For reference, "defined(EOF)" cannot be used here.  In g++ 2.95.4,
313    <iostream> defines EOF but not FILE.  */
314 #if defined (FILE)                                              \
315   || defined (H_STDIO)                                          \
316   || defined (_H_STDIO)               /* AIX */                 \
317   || defined (_STDIO_H)               /* glibc, Sun, SCO */     \
318   || defined (_STDIO_H_)              /* BSD, OSF */            \
319   || defined (__STDIO_H)              /* Borland */             \
320   || defined (__STDIO_H__)            /* IRIX */                \
321   || defined (_STDIO_INCLUDED)        /* HPUX */                \
322   || defined (__dj_include_stdio_h_)  /* DJGPP */               \
323   || defined (_FILE_DEFINED)          /* Microsoft */           \
324   || defined (__STDIO__)              /* Apple MPW MrC */       \
325   || defined (_MSL_STDIO_H)           /* Metrowerks */          \
326   || defined (_STDIO_H_INCLUDED)      /* QNX4 */		\
327   || defined (_ISO_STDIO_ISO_H)       /* Sun C++ */		\
328   || defined (__STDIO_LOADED)         /* VMS */
329 #define _GMP_H_HAVE_FILE 1
330 #endif
331 
332 /* In ISO C, if a prototype involving "struct obstack *" is given without
333    that structure defined, then the struct is scoped down to just the
334    prototype, causing a conflict if it's subsequently defined for real.  So
335    only give prototypes if we've got obstack.h.  */
336 #if defined (_OBSTACK_H)   /* glibc <obstack.h> */
337 #define _GMP_H_HAVE_OBSTACK 1
338 #endif
339 
340 /* The prototypes for gmp_vprintf etc are provided only if va_list is
341    available, via an application having included <stdarg.h> or <varargs.h>.
342    Usually va_list is a typedef so can't be tested directly, but C99
343    specifies that va_start is a macro (and it was normally a macro on past
344    systems too), so look for that.
345 
346    <stdio.h> will define some sort of va_list for vprintf and vfprintf, but
347    let's not bother trying to use that since it's not standard and since
348    application uses for gmp_vprintf etc will almost certainly require the
349    whole <stdarg.h> or <varargs.h> anyway.  */
350 
351 #ifdef va_start
352 #define _GMP_H_HAVE_VA_LIST 1
353 #endif
354 
355 /* Test for gcc >= maj.min, as per __GNUC_PREREQ in glibc */
356 #if defined (__GNUC__) && defined (__GNUC_MINOR__)
357 #define __GMP_GNUC_PREREQ(maj, min) \
358   ((__GNUC__ << 16) + __GNUC_MINOR__ >= ((maj) << 16) + (min))
359 #else
360 #define __GMP_GNUC_PREREQ(maj, min)  0
361 #endif
362 
363 /* "pure" is in gcc 2.96 and up, see "(gcc)Function Attributes".  Basically
364    it means a function does nothing but examine its arguments and memory
365    (global or via arguments) to generate a return value, but changes nothing
366    and has no side-effects.  __GMP_NO_ATTRIBUTE_CONST_PURE lets
367    tune/common.c etc turn this off when trying to write timing loops.  */
368 #if __GMP_GNUC_PREREQ (2,96) && ! defined (__GMP_NO_ATTRIBUTE_CONST_PURE)
369 #define __GMP_ATTRIBUTE_PURE   __attribute__ ((__pure__))
370 #else
371 #define __GMP_ATTRIBUTE_PURE
372 #endif
373 
374 
375 /* __GMP_CAST allows us to use static_cast in C++, so our macros are clean
376    to "g++ -Wold-style-cast".
377 
378    Casts in "extern inline" code within an extern "C" block don't induce
379    these warnings, so __GMP_CAST only needs to be used on documented
380    macros.  */
381 
382 #ifdef __cplusplus
383 #define __GMP_CAST(type, expr)  (static_cast<type> (expr))
384 #else
385 #define __GMP_CAST(type, expr)  ((type) (expr))
386 #endif
387 
388 
389 /* An empty "throw ()" means the function doesn't throw any C++ exceptions,
390    this can save some stack frame info in applications.
391 
392    Currently it's given only on functions which never divide-by-zero etc,
393    don't allocate memory, and are expected to never need to allocate memory.
394    This leaves open the possibility of a C++ throw from a future GMP
395    exceptions scheme.
396 
397    mpz_set_ui etc are omitted to leave open the lazy allocation scheme
398    described in doc/tasks.html.  mpz_get_d etc are omitted to leave open
399    exceptions for float overflows.
400 
401    Note that __GMP_NOTHROW must be given on any inlines the same as on their
402    prototypes (for g++ at least, where they're used together).  Note also
403    that g++ 3.0 demands that __GMP_NOTHROW is before other attributes like
404    __GMP_ATTRIBUTE_PURE.  */
405 
406 #if defined (__cplusplus)
407 #define __GMP_NOTHROW  throw ()
408 #else
409 #define __GMP_NOTHROW
410 #endif
411 
412 
413 /* PORTME: What other compilers have a useful "extern inline"?  "static
414    inline" would be an acceptable substitute if the compiler (or linker)
415    discards unused statics.  */
416 
417  /* gcc has __inline__ in all modes, including strict ansi.  Give a prototype
418     for an inline too, so as to correctly specify "dllimport" on windows, in
419     case the function is called rather than inlined.
420     GCC 4.3 and above with -std=c99 or -std=gnu99 implements ISO C99
421     inline semantics, unless -fgnu89-inline is used.  */
422 #ifdef __GNUC__
423 #if (defined __GNUC_STDC_INLINE__) || (__GNUC__ == 4 && __GNUC_MINOR__ == 2)
424 #define __GMP_EXTERN_INLINE extern __inline__ __attribute__ ((__gnu_inline__))
425 #else
426 #define __GMP_EXTERN_INLINE      extern __inline__
427 #endif
428 #define __GMP_INLINE_PROTOTYPES  1
429 #endif
430 
431 /* DEC C (eg. version 5.9) supports "static __inline foo()", even in -std1
432    strict ANSI mode.  Inlining is done even when not optimizing (ie. -O0
433    mode, which is the default), but an unnecessary local copy of foo is
434    emitted unless -O is used.  "extern __inline" is accepted, but the
435    "extern" appears to be ignored, ie. it becomes a plain global function
436    but which is inlined within its file.  Don't know if all old versions of
437    DEC C supported __inline, but as a start let's do the right thing for
438    current versions.  */
439 #ifdef __DECC
440 #define __GMP_EXTERN_INLINE  static __inline
441 #endif
442 
443 /* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict
444    ANSI mode (__STDC__ is 1 in that mode).  Inlining only actually takes
445    place under -O.  Without -O "foo" seems to be emitted whether it's used
446    or not, which is wasteful.  "extern inline foo()" isn't useful, the
447    "extern" is apparently ignored, so foo is inlined if possible but also
448    emitted as a global, which causes multiple definition errors when
449    building a shared libgmp.  */
450 #ifdef __SCO_VERSION__
451 #if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
452   && ! defined (__GMP_EXTERN_INLINE)
453 #define __GMP_EXTERN_INLINE  static inline
454 #endif
455 #endif
456 
457 /* Microsoft's C compiler accepts __inline */
458 #ifdef _MSC_VER
459 #define __GMP_EXTERN_INLINE  __inline
460 #endif
461 
462 /* Recent enough Sun C compilers want "inline" */
463 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x560 \
464   && ! defined (__GMP_EXTERN_INLINE)
465 #define __GMP_EXTERN_INLINE  inline
466 #endif
467 
468 /* Somewhat older Sun C compilers want "static inline" */
469 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x540 \
470   && ! defined (__GMP_EXTERN_INLINE)
471 #define __GMP_EXTERN_INLINE  static inline
472 #endif
473 
474 
475 /* C++ always has "inline" and since it's a normal feature the linker should
476    discard duplicate non-inlined copies, or if it doesn't then that's a
477    problem for everyone, not just GMP.  */
478 #if defined (__cplusplus) && ! defined (__GMP_EXTERN_INLINE)
479 #define __GMP_EXTERN_INLINE  inline
480 #endif
481 
482 /* Don't do any inlining within a configure run, since if the compiler ends
483    up emitting copies of the code into the object file it can end up
484    demanding the various support routines (like mpn_popcount) for linking,
485    making the "alloca" test and perhaps others fail.  And on hppa ia64 a
486    pre-release gcc 3.2 was seen not respecting the "extern" in "extern
487    __inline__", triggering this problem too.  */
488 #if defined (__GMP_WITHIN_CONFIGURE) && ! __GMP_WITHIN_CONFIGURE_INLINE
489 #undef __GMP_EXTERN_INLINE
490 #endif
491 
492 /* By default, don't give a prototype when there's going to be an inline
493    version.  Note in particular that Cray C++ objects to the combination of
494    prototype and inline.  */
495 #ifdef __GMP_EXTERN_INLINE
496 #ifndef __GMP_INLINE_PROTOTYPES
497 #define __GMP_INLINE_PROTOTYPES  0
498 #endif
499 #else
500 #define __GMP_INLINE_PROTOTYPES  1
501 #endif
502 
503 
504 #define __GMP_ABS(x)   ((x) >= 0 ? (x) : -(x))
505 #define __GMP_MAX(h,i) ((h) > (i) ? (h) : (i))
506 
507 /* __GMP_USHRT_MAX is not "~ (unsigned short) 0" because short is promoted
508    to int by "~".  */
509 #define __GMP_UINT_MAX   (~ (unsigned) 0)
510 #define __GMP_ULONG_MAX  (~ (unsigned long) 0)
511 #define __GMP_USHRT_MAX  ((unsigned short) ~0)
512 
513 
514 /* __builtin_expect is in gcc 3.0, and not in 2.95. */
515 #if __GMP_GNUC_PREREQ (3,0)
516 #define __GMP_LIKELY(cond)    __builtin_expect ((cond) != 0, 1)
517 #define __GMP_UNLIKELY(cond)  __builtin_expect ((cond) != 0, 0)
518 #else
519 #define __GMP_LIKELY(cond)    (cond)
520 #define __GMP_UNLIKELY(cond)  (cond)
521 #endif
522 
523 #ifdef _CRAY
524 #define __GMP_CRAY_Pragma(str)  _Pragma (str)
525 #else
526 #define __GMP_CRAY_Pragma(str)
527 #endif
528 
529 
530 /* Allow direct user access to numerator and denominator of a mpq_t object.  */
531 #define mpq_numref(Q) (&((Q)->_mp_num))
532 #define mpq_denref(Q) (&((Q)->_mp_den))
533 
534 
535 #if defined (__cplusplus)
536 extern "C" {
537 using std::FILE;
538 #endif
539 
540 #define mp_set_memory_functions __gmp_set_memory_functions
541 __GMP_DECLSPEC void mp_set_memory_functions __GMP_PROTO ((void *(*) (size_t),
542 				      void *(*) (void *, size_t, size_t),
543 				      void (*) (void *, size_t))) __GMP_NOTHROW;
544 
545 #define mp_get_memory_functions __gmp_get_memory_functions
546 __GMP_DECLSPEC void mp_get_memory_functions __GMP_PROTO ((void *(**) (size_t),
547                                       void *(**) (void *, size_t, size_t),
548                                       void (**) (void *, size_t))) __GMP_NOTHROW;
549 
550 #define mp_bits_per_limb __gmp_bits_per_limb
551 __GMP_DECLSPEC extern __gmp_const int mp_bits_per_limb;
552 
553 #define gmp_errno __gmp_errno
554 __GMP_DECLSPEC extern int gmp_errno;
555 
556 #define gmp_version __gmp_version
557 __GMP_DECLSPEC extern __gmp_const char * __gmp_const gmp_version;
558 
559 
560 /**************** Random number routines.  ****************/
561 
562 /* obsolete */
563 #define gmp_randinit __gmp_randinit
564 __GMP_DECLSPEC void gmp_randinit __GMP_PROTO ((gmp_randstate_t, gmp_randalg_t, ...));
565 
566 #define gmp_randinit_default __gmp_randinit_default
567 __GMP_DECLSPEC void gmp_randinit_default __GMP_PROTO ((gmp_randstate_t));
568 
569 #define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
570 __GMP_DECLSPEC void gmp_randinit_lc_2exp __GMP_PROTO ((gmp_randstate_t,
571 						       mpz_srcptr, unsigned long int,
572 						       mp_bitcnt_t));
573 
574 #define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size
575 __GMP_DECLSPEC int gmp_randinit_lc_2exp_size __GMP_PROTO ((gmp_randstate_t, mp_bitcnt_t));
576 
577 #define gmp_randinit_mt __gmp_randinit_mt
578 __GMP_DECLSPEC void gmp_randinit_mt __GMP_PROTO ((gmp_randstate_t));
579 
580 #define gmp_randinit_set __gmp_randinit_set
581 __GMP_DECLSPEC void gmp_randinit_set __GMP_PROTO ((gmp_randstate_t, __gmp_const __gmp_randstate_struct *));
582 
583 #define gmp_randseed __gmp_randseed
584 __GMP_DECLSPEC void gmp_randseed __GMP_PROTO ((gmp_randstate_t, mpz_srcptr));
585 
586 #define gmp_randseed_ui __gmp_randseed_ui
587 __GMP_DECLSPEC void gmp_randseed_ui __GMP_PROTO ((gmp_randstate_t, unsigned long int));
588 
589 #define gmp_randclear __gmp_randclear
590 __GMP_DECLSPEC void gmp_randclear __GMP_PROTO ((gmp_randstate_t));
591 
592 #define gmp_urandomb_ui __gmp_urandomb_ui
593 __GMP_DECLSPEC unsigned long gmp_urandomb_ui __GMP_PROTO ((gmp_randstate_t, unsigned long));
594 
595 #define gmp_urandomm_ui __gmp_urandomm_ui
596 __GMP_DECLSPEC unsigned long gmp_urandomm_ui __GMP_PROTO ((gmp_randstate_t, unsigned long));
597 
598 
599 /**************** Formatted output routines.  ****************/
600 
601 #define gmp_asprintf __gmp_asprintf
602 __GMP_DECLSPEC int gmp_asprintf __GMP_PROTO ((char **, __gmp_const char *, ...));
603 
604 #define gmp_fprintf __gmp_fprintf
605 #ifdef _GMP_H_HAVE_FILE
606 __GMP_DECLSPEC int gmp_fprintf __GMP_PROTO ((FILE *, __gmp_const char *, ...));
607 #endif
608 
609 #define gmp_obstack_printf __gmp_obstack_printf
610 #if defined (_GMP_H_HAVE_OBSTACK)
611 __GMP_DECLSPEC int gmp_obstack_printf __GMP_PROTO ((struct obstack *, __gmp_const char *, ...));
612 #endif
613 
614 #define gmp_obstack_vprintf __gmp_obstack_vprintf
615 #if defined (_GMP_H_HAVE_OBSTACK) && defined (_GMP_H_HAVE_VA_LIST)
616 __GMP_DECLSPEC int gmp_obstack_vprintf __GMP_PROTO ((struct obstack *, __gmp_const char *, va_list));
617 #endif
618 
619 #define gmp_printf __gmp_printf
620 __GMP_DECLSPEC int gmp_printf __GMP_PROTO ((__gmp_const char *, ...));
621 
622 #define gmp_snprintf __gmp_snprintf
623 __GMP_DECLSPEC int gmp_snprintf __GMP_PROTO ((char *, size_t, __gmp_const char *, ...));
624 
625 #define gmp_sprintf __gmp_sprintf
626 __GMP_DECLSPEC int gmp_sprintf __GMP_PROTO ((char *, __gmp_const char *, ...));
627 
628 #define gmp_vasprintf __gmp_vasprintf
629 #if defined (_GMP_H_HAVE_VA_LIST)
630 __GMP_DECLSPEC int gmp_vasprintf __GMP_PROTO ((char **, __gmp_const char *, va_list));
631 #endif
632 
633 #define gmp_vfprintf __gmp_vfprintf
634 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
635 __GMP_DECLSPEC int gmp_vfprintf __GMP_PROTO ((FILE *, __gmp_const char *, va_list));
636 #endif
637 
638 #define gmp_vprintf __gmp_vprintf
639 #if defined (_GMP_H_HAVE_VA_LIST)
640 __GMP_DECLSPEC int gmp_vprintf __GMP_PROTO ((__gmp_const char *, va_list));
641 #endif
642 
643 #define gmp_vsnprintf __gmp_vsnprintf
644 #if defined (_GMP_H_HAVE_VA_LIST)
645 __GMP_DECLSPEC int gmp_vsnprintf __GMP_PROTO ((char *, size_t, __gmp_const char *, va_list));
646 #endif
647 
648 #define gmp_vsprintf __gmp_vsprintf
649 #if defined (_GMP_H_HAVE_VA_LIST)
650 __GMP_DECLSPEC int gmp_vsprintf __GMP_PROTO ((char *, __gmp_const char *, va_list));
651 #endif
652 
653 
654 /**************** Formatted input routines.  ****************/
655 
656 #define gmp_fscanf __gmp_fscanf
657 #ifdef _GMP_H_HAVE_FILE
658 __GMP_DECLSPEC int gmp_fscanf __GMP_PROTO ((FILE *, __gmp_const char *, ...));
659 #endif
660 
661 #define gmp_scanf __gmp_scanf
662 __GMP_DECLSPEC int gmp_scanf __GMP_PROTO ((__gmp_const char *, ...));
663 
664 #define gmp_sscanf __gmp_sscanf
665 __GMP_DECLSPEC int gmp_sscanf __GMP_PROTO ((__gmp_const char *, __gmp_const char *, ...));
666 
667 #define gmp_vfscanf __gmp_vfscanf
668 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
669 __GMP_DECLSPEC int gmp_vfscanf __GMP_PROTO ((FILE *, __gmp_const char *, va_list));
670 #endif
671 
672 #define gmp_vscanf __gmp_vscanf
673 #if defined (_GMP_H_HAVE_VA_LIST)
674 __GMP_DECLSPEC int gmp_vscanf __GMP_PROTO ((__gmp_const char *, va_list));
675 #endif
676 
677 #define gmp_vsscanf __gmp_vsscanf
678 #if defined (_GMP_H_HAVE_VA_LIST)
679 __GMP_DECLSPEC int gmp_vsscanf __GMP_PROTO ((__gmp_const char *, __gmp_const char *, va_list));
680 #endif
681 
682 
683 /**************** Integer (i.e. Z) routines.  ****************/
684 
685 #define _mpz_realloc __gmpz_realloc
686 #define mpz_realloc __gmpz_realloc
687 __GMP_DECLSPEC void *_mpz_realloc __GMP_PROTO ((mpz_ptr, mp_size_t));
688 
689 #define mpz_abs __gmpz_abs
690 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs)
691 __GMP_DECLSPEC void mpz_abs __GMP_PROTO ((mpz_ptr, mpz_srcptr));
692 #endif
693 
694 #define mpz_add __gmpz_add
695 __GMP_DECLSPEC void mpz_add __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
696 
697 #define mpz_add_ui __gmpz_add_ui
698 __GMP_DECLSPEC void mpz_add_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
699 
700 #define mpz_addmul __gmpz_addmul
701 __GMP_DECLSPEC void mpz_addmul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
702 
703 #define mpz_addmul_ui __gmpz_addmul_ui
704 __GMP_DECLSPEC void mpz_addmul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
705 
706 #define mpz_and __gmpz_and
707 __GMP_DECLSPEC void mpz_and __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
708 
709 #define mpz_array_init __gmpz_array_init
710 __GMP_DECLSPEC void mpz_array_init __GMP_PROTO ((mpz_ptr, mp_size_t, mp_size_t));
711 
712 #define mpz_bin_ui __gmpz_bin_ui
713 __GMP_DECLSPEC void mpz_bin_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
714 
715 #define mpz_bin_uiui __gmpz_bin_uiui
716 __GMP_DECLSPEC void mpz_bin_uiui __GMP_PROTO ((mpz_ptr, unsigned long int, unsigned long int));
717 
718 #define mpz_cdiv_q __gmpz_cdiv_q
719 __GMP_DECLSPEC void mpz_cdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
720 
721 #define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
722 __GMP_DECLSPEC void mpz_cdiv_q_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
723 
724 #define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
725 __GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
726 
727 #define mpz_cdiv_qr __gmpz_cdiv_qr
728 __GMP_DECLSPEC void mpz_cdiv_qr __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
729 
730 #define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
731 __GMP_DECLSPEC unsigned long int mpz_cdiv_qr_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
732 
733 #define mpz_cdiv_r __gmpz_cdiv_r
734 __GMP_DECLSPEC void mpz_cdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
735 
736 #define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
737 __GMP_DECLSPEC void mpz_cdiv_r_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
738 
739 #define mpz_cdiv_r_ui __gmpz_cdiv_r_ui
740 __GMP_DECLSPEC unsigned long int mpz_cdiv_r_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
741 
742 #define mpz_cdiv_ui __gmpz_cdiv_ui
743 __GMP_DECLSPEC unsigned long int mpz_cdiv_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
744 
745 #define mpz_clear __gmpz_clear
746 __GMP_DECLSPEC void mpz_clear __GMP_PROTO ((mpz_ptr));
747 
748 #define mpz_clears __gmpz_clears
749 __GMP_DECLSPEC void mpz_clears __GMP_PROTO ((mpz_ptr, ...));
750 
751 #define mpz_clrbit __gmpz_clrbit
752 __GMP_DECLSPEC void mpz_clrbit __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
753 
754 #define mpz_cmp __gmpz_cmp
755 __GMP_DECLSPEC int mpz_cmp __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
756 
757 #define mpz_cmp_d __gmpz_cmp_d
758 __GMP_DECLSPEC int mpz_cmp_d __GMP_PROTO ((mpz_srcptr, double)) __GMP_ATTRIBUTE_PURE;
759 
760 #define _mpz_cmp_si __gmpz_cmp_si
761 __GMP_DECLSPEC int _mpz_cmp_si __GMP_PROTO ((mpz_srcptr, signed long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
762 
763 #define _mpz_cmp_ui __gmpz_cmp_ui
764 __GMP_DECLSPEC int _mpz_cmp_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
765 
766 #define mpz_cmpabs __gmpz_cmpabs
767 __GMP_DECLSPEC int mpz_cmpabs __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
768 
769 #define mpz_cmpabs_d __gmpz_cmpabs_d
770 __GMP_DECLSPEC int mpz_cmpabs_d __GMP_PROTO ((mpz_srcptr, double)) __GMP_ATTRIBUTE_PURE;
771 
772 #define mpz_cmpabs_ui __gmpz_cmpabs_ui
773 __GMP_DECLSPEC int mpz_cmpabs_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
774 
775 #define mpz_com __gmpz_com
776 __GMP_DECLSPEC void mpz_com __GMP_PROTO ((mpz_ptr, mpz_srcptr));
777 
778 #define mpz_combit __gmpz_combit
779 __GMP_DECLSPEC void mpz_combit __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
780 
781 #define mpz_congruent_p __gmpz_congruent_p
782 __GMP_DECLSPEC int mpz_congruent_p __GMP_PROTO ((mpz_srcptr, mpz_srcptr, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
783 
784 #define mpz_congruent_2exp_p __gmpz_congruent_2exp_p
785 __GMP_DECLSPEC int mpz_congruent_2exp_p __GMP_PROTO ((mpz_srcptr, mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
786 
787 #define mpz_congruent_ui_p __gmpz_congruent_ui_p
788 __GMP_DECLSPEC int mpz_congruent_ui_p __GMP_PROTO ((mpz_srcptr, unsigned long, unsigned long)) __GMP_ATTRIBUTE_PURE;
789 
790 #define mpz_divexact __gmpz_divexact
791 __GMP_DECLSPEC void mpz_divexact __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
792 
793 #define mpz_divexact_ui __gmpz_divexact_ui
794 __GMP_DECLSPEC void mpz_divexact_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long));
795 
796 #define mpz_divisible_p __gmpz_divisible_p
797 __GMP_DECLSPEC int mpz_divisible_p __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
798 
799 #define mpz_divisible_ui_p __gmpz_divisible_ui_p
800 __GMP_DECLSPEC int mpz_divisible_ui_p __GMP_PROTO ((mpz_srcptr, unsigned long)) __GMP_ATTRIBUTE_PURE;
801 
802 #define mpz_divisible_2exp_p __gmpz_divisible_2exp_p
803 __GMP_DECLSPEC int mpz_divisible_2exp_p __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
804 
805 #define mpz_dump __gmpz_dump
806 __GMP_DECLSPEC void mpz_dump __GMP_PROTO ((mpz_srcptr));
807 
808 #define mpz_export __gmpz_export
809 __GMP_DECLSPEC void *mpz_export __GMP_PROTO ((void *, size_t *, int, size_t, int, size_t, mpz_srcptr));
810 
811 #define mpz_fac_ui __gmpz_fac_ui
812 __GMP_DECLSPEC void mpz_fac_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
813 
814 #define mpz_fdiv_q __gmpz_fdiv_q
815 __GMP_DECLSPEC void mpz_fdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
816 
817 #define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
818 __GMP_DECLSPEC void mpz_fdiv_q_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
819 
820 #define mpz_fdiv_q_ui __gmpz_fdiv_q_ui
821 __GMP_DECLSPEC unsigned long int mpz_fdiv_q_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
822 
823 #define mpz_fdiv_qr __gmpz_fdiv_qr
824 __GMP_DECLSPEC void mpz_fdiv_qr __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
825 
826 #define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui
827 __GMP_DECLSPEC unsigned long int mpz_fdiv_qr_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
828 
829 #define mpz_fdiv_r __gmpz_fdiv_r
830 __GMP_DECLSPEC void mpz_fdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
831 
832 #define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
833 __GMP_DECLSPEC void mpz_fdiv_r_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
834 
835 #define mpz_fdiv_r_ui __gmpz_fdiv_r_ui
836 __GMP_DECLSPEC unsigned long int mpz_fdiv_r_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
837 
838 #define mpz_fdiv_ui __gmpz_fdiv_ui
839 __GMP_DECLSPEC unsigned long int mpz_fdiv_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
840 
841 #define mpz_fib_ui __gmpz_fib_ui
842 __GMP_DECLSPEC void mpz_fib_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
843 
844 #define mpz_fib2_ui __gmpz_fib2_ui
845 __GMP_DECLSPEC void mpz_fib2_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, unsigned long int));
846 
847 #define mpz_fits_sint_p __gmpz_fits_sint_p
848 __GMP_DECLSPEC int mpz_fits_sint_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
849 
850 #define mpz_fits_slong_p __gmpz_fits_slong_p
851 __GMP_DECLSPEC int mpz_fits_slong_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
852 
853 #define mpz_fits_sshort_p __gmpz_fits_sshort_p
854 __GMP_DECLSPEC int mpz_fits_sshort_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
855 
856 #define mpz_fits_uint_p __gmpz_fits_uint_p
857 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_uint_p)
858 __GMP_DECLSPEC int mpz_fits_uint_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
859 #endif
860 
861 #define mpz_fits_ulong_p __gmpz_fits_ulong_p
862 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ulong_p)
863 __GMP_DECLSPEC int mpz_fits_ulong_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
864 #endif
865 
866 #define mpz_fits_ushort_p __gmpz_fits_ushort_p
867 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ushort_p)
868 __GMP_DECLSPEC int mpz_fits_ushort_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
869 #endif
870 
871 #define mpz_gcd __gmpz_gcd
872 __GMP_DECLSPEC void mpz_gcd __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
873 
874 #define mpz_gcd_ui __gmpz_gcd_ui
875 __GMP_DECLSPEC unsigned long int mpz_gcd_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
876 
877 #define mpz_gcdext __gmpz_gcdext
878 __GMP_DECLSPEC void mpz_gcdext __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
879 
880 #define mpz_get_d __gmpz_get_d
881 __GMP_DECLSPEC double mpz_get_d __GMP_PROTO ((mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
882 
883 #define mpz_get_d_2exp __gmpz_get_d_2exp
884 __GMP_DECLSPEC double mpz_get_d_2exp __GMP_PROTO ((signed long int *, mpz_srcptr));
885 
886 #define mpz_get_si __gmpz_get_si
887 __GMP_DECLSPEC /* signed */ long int mpz_get_si __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
888 
889 #define mpz_get_str __gmpz_get_str
890 __GMP_DECLSPEC char *mpz_get_str __GMP_PROTO ((char *, int, mpz_srcptr));
891 
892 #define mpz_get_ui __gmpz_get_ui
893 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_get_ui)
894 __GMP_DECLSPEC unsigned long int mpz_get_ui __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
895 #endif
896 
897 #define mpz_getlimbn __gmpz_getlimbn
898 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_getlimbn)
899 __GMP_DECLSPEC mp_limb_t mpz_getlimbn __GMP_PROTO ((mpz_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
900 #endif
901 
902 #define mpz_hamdist __gmpz_hamdist
903 __GMP_DECLSPEC mp_bitcnt_t mpz_hamdist __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
904 
905 #define mpz_import __gmpz_import
906 __GMP_DECLSPEC void mpz_import __GMP_PROTO ((mpz_ptr, size_t, int, size_t, int, size_t, __gmp_const void *));
907 
908 #define mpz_init __gmpz_init
909 __GMP_DECLSPEC void mpz_init __GMP_PROTO ((mpz_ptr));
910 
911 #define mpz_init2 __gmpz_init2
912 __GMP_DECLSPEC void mpz_init2 __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
913 
914 #define mpz_inits __gmpz_inits
915 __GMP_DECLSPEC void mpz_inits __GMP_PROTO ((mpz_ptr, ...));
916 
917 #define mpz_init_set __gmpz_init_set
918 __GMP_DECLSPEC void mpz_init_set __GMP_PROTO ((mpz_ptr, mpz_srcptr));
919 
920 #define mpz_init_set_d __gmpz_init_set_d
921 __GMP_DECLSPEC void mpz_init_set_d __GMP_PROTO ((mpz_ptr, double));
922 
923 #define mpz_init_set_si __gmpz_init_set_si
924 __GMP_DECLSPEC void mpz_init_set_si __GMP_PROTO ((mpz_ptr, signed long int));
925 
926 #define mpz_init_set_str __gmpz_init_set_str
927 __GMP_DECLSPEC int mpz_init_set_str __GMP_PROTO ((mpz_ptr, __gmp_const char *, int));
928 
929 #define mpz_init_set_ui __gmpz_init_set_ui
930 __GMP_DECLSPEC void mpz_init_set_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
931 
932 #define mpz_inp_raw __gmpz_inp_raw
933 #ifdef _GMP_H_HAVE_FILE
934 __GMP_DECLSPEC size_t mpz_inp_raw __GMP_PROTO ((mpz_ptr, FILE *));
935 #endif
936 
937 #define mpz_inp_str __gmpz_inp_str
938 #ifdef _GMP_H_HAVE_FILE
939 __GMP_DECLSPEC size_t mpz_inp_str __GMP_PROTO ((mpz_ptr, FILE *, int));
940 #endif
941 
942 #define mpz_invert __gmpz_invert
943 __GMP_DECLSPEC int mpz_invert __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
944 
945 #define mpz_ior __gmpz_ior
946 __GMP_DECLSPEC void mpz_ior __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
947 
948 #define mpz_jacobi __gmpz_jacobi
949 __GMP_DECLSPEC int mpz_jacobi __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
950 
951 #define mpz_kronecker mpz_jacobi  /* alias */
952 
953 #define mpz_kronecker_si __gmpz_kronecker_si
954 __GMP_DECLSPEC int mpz_kronecker_si __GMP_PROTO ((mpz_srcptr, long)) __GMP_ATTRIBUTE_PURE;
955 
956 #define mpz_kronecker_ui __gmpz_kronecker_ui
957 __GMP_DECLSPEC int mpz_kronecker_ui __GMP_PROTO ((mpz_srcptr, unsigned long)) __GMP_ATTRIBUTE_PURE;
958 
959 #define mpz_si_kronecker __gmpz_si_kronecker
960 __GMP_DECLSPEC int mpz_si_kronecker __GMP_PROTO ((long, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
961 
962 #define mpz_ui_kronecker __gmpz_ui_kronecker
963 __GMP_DECLSPEC int mpz_ui_kronecker __GMP_PROTO ((unsigned long, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
964 
965 #define mpz_lcm __gmpz_lcm
966 __GMP_DECLSPEC void mpz_lcm __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
967 
968 #define mpz_lcm_ui __gmpz_lcm_ui
969 __GMP_DECLSPEC void mpz_lcm_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long));
970 
971 #define mpz_legendre mpz_jacobi  /* alias */
972 
973 #define mpz_lucnum_ui __gmpz_lucnum_ui
974 __GMP_DECLSPEC void mpz_lucnum_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
975 
976 #define mpz_lucnum2_ui __gmpz_lucnum2_ui
977 __GMP_DECLSPEC void mpz_lucnum2_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, unsigned long int));
978 
979 #define mpz_millerrabin __gmpz_millerrabin
980 __GMP_DECLSPEC int mpz_millerrabin __GMP_PROTO ((mpz_srcptr, int)) __GMP_ATTRIBUTE_PURE;
981 
982 #define mpz_mod __gmpz_mod
983 __GMP_DECLSPEC void mpz_mod __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
984 
985 #define mpz_mod_ui mpz_fdiv_r_ui /* same as fdiv_r because divisor unsigned */
986 
987 #define mpz_mul __gmpz_mul
988 __GMP_DECLSPEC void mpz_mul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
989 
990 #define mpz_mul_2exp __gmpz_mul_2exp
991 __GMP_DECLSPEC void mpz_mul_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
992 
993 #define mpz_mul_si __gmpz_mul_si
994 __GMP_DECLSPEC void mpz_mul_si __GMP_PROTO ((mpz_ptr, mpz_srcptr, long int));
995 
996 #define mpz_mul_ui __gmpz_mul_ui
997 __GMP_DECLSPEC void mpz_mul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
998 
999 #define mpz_neg __gmpz_neg
1000 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_neg)
1001 __GMP_DECLSPEC void mpz_neg __GMP_PROTO ((mpz_ptr, mpz_srcptr));
1002 #endif
1003 
1004 #define mpz_nextprime __gmpz_nextprime
1005 __GMP_DECLSPEC void mpz_nextprime __GMP_PROTO ((mpz_ptr, mpz_srcptr));
1006 
1007 #define mpz_out_raw __gmpz_out_raw
1008 #ifdef _GMP_H_HAVE_FILE
1009 __GMP_DECLSPEC size_t mpz_out_raw __GMP_PROTO ((FILE *, mpz_srcptr));
1010 #endif
1011 
1012 #define mpz_out_str __gmpz_out_str
1013 #ifdef _GMP_H_HAVE_FILE
1014 __GMP_DECLSPEC size_t mpz_out_str __GMP_PROTO ((FILE *, int, mpz_srcptr));
1015 #endif
1016 
1017 #define mpz_perfect_power_p __gmpz_perfect_power_p
1018 __GMP_DECLSPEC int mpz_perfect_power_p __GMP_PROTO ((mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
1019 
1020 #define mpz_perfect_square_p __gmpz_perfect_square_p
1021 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_perfect_square_p)
1022 __GMP_DECLSPEC int mpz_perfect_square_p __GMP_PROTO ((mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
1023 #endif
1024 
1025 #define mpz_popcount __gmpz_popcount
1026 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_popcount)
1027 __GMP_DECLSPEC mp_bitcnt_t mpz_popcount __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1028 #endif
1029 
1030 #define mpz_pow_ui __gmpz_pow_ui
1031 __GMP_DECLSPEC void mpz_pow_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1032 
1033 #define mpz_powm __gmpz_powm
1034 __GMP_DECLSPEC void mpz_powm __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr));
1035 
1036 #define mpz_powm_sec __gmpz_powm_sec
1037 __GMP_DECLSPEC void mpz_powm_sec __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr));
1038 
1039 #define mpz_powm_ui __gmpz_powm_ui
1040 __GMP_DECLSPEC void mpz_powm_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr));
1041 
1042 #define mpz_probab_prime_p __gmpz_probab_prime_p
1043 __GMP_DECLSPEC int mpz_probab_prime_p __GMP_PROTO ((mpz_srcptr, int)) __GMP_ATTRIBUTE_PURE;
1044 
1045 #define mpz_random __gmpz_random
1046 __GMP_DECLSPEC void mpz_random __GMP_PROTO ((mpz_ptr, mp_size_t));
1047 
1048 #define mpz_random2 __gmpz_random2
1049 __GMP_DECLSPEC void mpz_random2 __GMP_PROTO ((mpz_ptr, mp_size_t));
1050 
1051 #define mpz_realloc2 __gmpz_realloc2
1052 __GMP_DECLSPEC void mpz_realloc2 __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
1053 
1054 #define mpz_remove __gmpz_remove
1055 __GMP_DECLSPEC mp_bitcnt_t mpz_remove __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1056 
1057 #define mpz_root __gmpz_root
1058 __GMP_DECLSPEC int mpz_root __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1059 
1060 #define mpz_rootrem __gmpz_rootrem
1061 __GMP_DECLSPEC void mpz_rootrem __GMP_PROTO ((mpz_ptr,mpz_ptr, mpz_srcptr, unsigned long int));
1062 
1063 #define mpz_rrandomb __gmpz_rrandomb
1064 __GMP_DECLSPEC void mpz_rrandomb __GMP_PROTO ((mpz_ptr, gmp_randstate_t, mp_bitcnt_t));
1065 
1066 #define mpz_scan0 __gmpz_scan0
1067 __GMP_DECLSPEC mp_bitcnt_t mpz_scan0 __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1068 
1069 #define mpz_scan1 __gmpz_scan1
1070 __GMP_DECLSPEC mp_bitcnt_t mpz_scan1 __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1071 
1072 #define mpz_set __gmpz_set
1073 __GMP_DECLSPEC void mpz_set __GMP_PROTO ((mpz_ptr, mpz_srcptr));
1074 
1075 #define mpz_set_d __gmpz_set_d
1076 __GMP_DECLSPEC void mpz_set_d __GMP_PROTO ((mpz_ptr, double));
1077 
1078 #define mpz_set_f __gmpz_set_f
1079 __GMP_DECLSPEC void mpz_set_f __GMP_PROTO ((mpz_ptr, mpf_srcptr));
1080 
1081 #define mpz_set_q __gmpz_set_q
1082 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_set_q)
1083 __GMP_DECLSPEC void mpz_set_q __GMP_PROTO ((mpz_ptr, mpq_srcptr));
1084 #endif
1085 
1086 #define mpz_set_si __gmpz_set_si
1087 __GMP_DECLSPEC void mpz_set_si __GMP_PROTO ((mpz_ptr, signed long int));
1088 
1089 #define mpz_set_str __gmpz_set_str
1090 __GMP_DECLSPEC int mpz_set_str __GMP_PROTO ((mpz_ptr, __gmp_const char *, int));
1091 
1092 #define mpz_set_ui __gmpz_set_ui
1093 __GMP_DECLSPEC void mpz_set_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
1094 
1095 #define mpz_setbit __gmpz_setbit
1096 __GMP_DECLSPEC void mpz_setbit __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
1097 
1098 #define mpz_size __gmpz_size
1099 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_size)
1100 __GMP_DECLSPEC size_t mpz_size __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1101 #endif
1102 
1103 #define mpz_sizeinbase __gmpz_sizeinbase
1104 __GMP_DECLSPEC size_t mpz_sizeinbase __GMP_PROTO ((mpz_srcptr, int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1105 
1106 #define mpz_sqrt __gmpz_sqrt
1107 __GMP_DECLSPEC void mpz_sqrt __GMP_PROTO ((mpz_ptr, mpz_srcptr));
1108 
1109 #define mpz_sqrtrem __gmpz_sqrtrem
1110 __GMP_DECLSPEC void mpz_sqrtrem __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr));
1111 
1112 #define mpz_sub __gmpz_sub
1113 __GMP_DECLSPEC void mpz_sub __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1114 
1115 #define mpz_sub_ui __gmpz_sub_ui
1116 __GMP_DECLSPEC void mpz_sub_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1117 
1118 #define mpz_ui_sub __gmpz_ui_sub
1119 __GMP_DECLSPEC void mpz_ui_sub __GMP_PROTO ((mpz_ptr, unsigned long int, mpz_srcptr));
1120 
1121 #define mpz_submul __gmpz_submul
1122 __GMP_DECLSPEC void mpz_submul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1123 
1124 #define mpz_submul_ui __gmpz_submul_ui
1125 __GMP_DECLSPEC void mpz_submul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1126 
1127 #define mpz_swap __gmpz_swap
1128 __GMP_DECLSPEC void mpz_swap __GMP_PROTO ((mpz_ptr, mpz_ptr)) __GMP_NOTHROW;
1129 
1130 #define mpz_tdiv_ui __gmpz_tdiv_ui
1131 __GMP_DECLSPEC unsigned long int mpz_tdiv_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
1132 
1133 #define mpz_tdiv_q __gmpz_tdiv_q
1134 __GMP_DECLSPEC void mpz_tdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1135 
1136 #define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp
1137 __GMP_DECLSPEC void mpz_tdiv_q_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
1138 
1139 #define mpz_tdiv_q_ui __gmpz_tdiv_q_ui
1140 __GMP_DECLSPEC unsigned long int mpz_tdiv_q_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1141 
1142 #define mpz_tdiv_qr __gmpz_tdiv_qr
1143 __GMP_DECLSPEC void mpz_tdiv_qr __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
1144 
1145 #define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui
1146 __GMP_DECLSPEC unsigned long int mpz_tdiv_qr_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
1147 
1148 #define mpz_tdiv_r __gmpz_tdiv_r
1149 __GMP_DECLSPEC void mpz_tdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1150 
1151 #define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp
1152 __GMP_DECLSPEC void mpz_tdiv_r_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
1153 
1154 #define mpz_tdiv_r_ui __gmpz_tdiv_r_ui
1155 __GMP_DECLSPEC unsigned long int mpz_tdiv_r_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1156 
1157 #define mpz_tstbit __gmpz_tstbit
1158 __GMP_DECLSPEC int mpz_tstbit __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1159 
1160 #define mpz_ui_pow_ui __gmpz_ui_pow_ui
1161 __GMP_DECLSPEC void mpz_ui_pow_ui __GMP_PROTO ((mpz_ptr, unsigned long int, unsigned long int));
1162 
1163 #define mpz_urandomb __gmpz_urandomb
1164 __GMP_DECLSPEC void mpz_urandomb __GMP_PROTO ((mpz_ptr, gmp_randstate_t, mp_bitcnt_t));
1165 
1166 #define mpz_urandomm __gmpz_urandomm
1167 __GMP_DECLSPEC void mpz_urandomm __GMP_PROTO ((mpz_ptr, gmp_randstate_t, mpz_srcptr));
1168 
1169 #define mpz_xor __gmpz_xor
1170 #define mpz_eor __gmpz_xor
1171 __GMP_DECLSPEC void mpz_xor __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1172 
1173 
1174 /**************** Rational (i.e. Q) routines.  ****************/
1175 
1176 #define mpq_abs __gmpq_abs
1177 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_abs)
1178 __GMP_DECLSPEC void mpq_abs __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1179 #endif
1180 
1181 #define mpq_add __gmpq_add
1182 __GMP_DECLSPEC void mpq_add __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1183 
1184 #define mpq_canonicalize __gmpq_canonicalize
1185 __GMP_DECLSPEC void mpq_canonicalize __GMP_PROTO ((mpq_ptr));
1186 
1187 #define mpq_clear __gmpq_clear
1188 __GMP_DECLSPEC void mpq_clear __GMP_PROTO ((mpq_ptr));
1189 
1190 #define mpq_clears __gmpq_clears
1191 __GMP_DECLSPEC void mpq_clears __GMP_PROTO ((mpq_ptr, ...));
1192 
1193 #define mpq_cmp __gmpq_cmp
1194 __GMP_DECLSPEC int mpq_cmp __GMP_PROTO ((mpq_srcptr, mpq_srcptr)) __GMP_ATTRIBUTE_PURE;
1195 
1196 #define _mpq_cmp_si __gmpq_cmp_si
1197 __GMP_DECLSPEC int _mpq_cmp_si __GMP_PROTO ((mpq_srcptr, long, unsigned long)) __GMP_ATTRIBUTE_PURE;
1198 
1199 #define _mpq_cmp_ui __gmpq_cmp_ui
1200 __GMP_DECLSPEC int _mpq_cmp_ui __GMP_PROTO ((mpq_srcptr, unsigned long int, unsigned long int)) __GMP_ATTRIBUTE_PURE;
1201 
1202 #define mpq_div __gmpq_div
1203 __GMP_DECLSPEC void mpq_div __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1204 
1205 #define mpq_div_2exp __gmpq_div_2exp
1206 __GMP_DECLSPEC void mpq_div_2exp __GMP_PROTO ((mpq_ptr, mpq_srcptr, mp_bitcnt_t));
1207 
1208 #define mpq_equal __gmpq_equal
1209 __GMP_DECLSPEC int mpq_equal __GMP_PROTO ((mpq_srcptr, mpq_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1210 
1211 #define mpq_get_num __gmpq_get_num
1212 __GMP_DECLSPEC void mpq_get_num __GMP_PROTO ((mpz_ptr, mpq_srcptr));
1213 
1214 #define mpq_get_den __gmpq_get_den
1215 __GMP_DECLSPEC void mpq_get_den __GMP_PROTO ((mpz_ptr, mpq_srcptr));
1216 
1217 #define mpq_get_d __gmpq_get_d
1218 __GMP_DECLSPEC double mpq_get_d __GMP_PROTO ((mpq_srcptr)) __GMP_ATTRIBUTE_PURE;
1219 
1220 #define mpq_get_str __gmpq_get_str
1221 __GMP_DECLSPEC char *mpq_get_str __GMP_PROTO ((char *, int, mpq_srcptr));
1222 
1223 #define mpq_init __gmpq_init
1224 __GMP_DECLSPEC void mpq_init __GMP_PROTO ((mpq_ptr));
1225 
1226 #define mpq_inits __gmpq_inits
1227 __GMP_DECLSPEC void mpq_inits __GMP_PROTO ((mpq_ptr, ...));
1228 
1229 #define mpq_inp_str __gmpq_inp_str
1230 #ifdef _GMP_H_HAVE_FILE
1231 __GMP_DECLSPEC size_t mpq_inp_str __GMP_PROTO ((mpq_ptr, FILE *, int));
1232 #endif
1233 
1234 #define mpq_inv __gmpq_inv
1235 __GMP_DECLSPEC void mpq_inv __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1236 
1237 #define mpq_mul __gmpq_mul
1238 __GMP_DECLSPEC void mpq_mul __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1239 
1240 #define mpq_mul_2exp __gmpq_mul_2exp
1241 __GMP_DECLSPEC void mpq_mul_2exp __GMP_PROTO ((mpq_ptr, mpq_srcptr, mp_bitcnt_t));
1242 
1243 #define mpq_neg __gmpq_neg
1244 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_neg)
1245 __GMP_DECLSPEC void mpq_neg __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1246 #endif
1247 
1248 #define mpq_out_str __gmpq_out_str
1249 #ifdef _GMP_H_HAVE_FILE
1250 __GMP_DECLSPEC size_t mpq_out_str __GMP_PROTO ((FILE *, int, mpq_srcptr));
1251 #endif
1252 
1253 #define mpq_set __gmpq_set
1254 __GMP_DECLSPEC void mpq_set __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1255 
1256 #define mpq_set_d __gmpq_set_d
1257 __GMP_DECLSPEC void mpq_set_d __GMP_PROTO ((mpq_ptr, double));
1258 
1259 #define mpq_set_den __gmpq_set_den
1260 __GMP_DECLSPEC void mpq_set_den __GMP_PROTO ((mpq_ptr, mpz_srcptr));
1261 
1262 #define mpq_set_f __gmpq_set_f
1263 __GMP_DECLSPEC void mpq_set_f __GMP_PROTO ((mpq_ptr, mpf_srcptr));
1264 
1265 #define mpq_set_num __gmpq_set_num
1266 __GMP_DECLSPEC void mpq_set_num __GMP_PROTO ((mpq_ptr, mpz_srcptr));
1267 
1268 #define mpq_set_si __gmpq_set_si
1269 __GMP_DECLSPEC void mpq_set_si __GMP_PROTO ((mpq_ptr, signed long int, unsigned long int));
1270 
1271 #define mpq_set_str __gmpq_set_str
1272 __GMP_DECLSPEC int mpq_set_str __GMP_PROTO ((mpq_ptr, __gmp_const char *, int));
1273 
1274 #define mpq_set_ui __gmpq_set_ui
1275 __GMP_DECLSPEC void mpq_set_ui __GMP_PROTO ((mpq_ptr, unsigned long int, unsigned long int));
1276 
1277 #define mpq_set_z __gmpq_set_z
1278 __GMP_DECLSPEC void mpq_set_z __GMP_PROTO ((mpq_ptr, mpz_srcptr));
1279 
1280 #define mpq_sub __gmpq_sub
1281 __GMP_DECLSPEC void mpq_sub __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1282 
1283 #define mpq_swap __gmpq_swap
1284 __GMP_DECLSPEC void mpq_swap __GMP_PROTO ((mpq_ptr, mpq_ptr)) __GMP_NOTHROW;
1285 
1286 
1287 /**************** Float (i.e. F) routines.  ****************/
1288 
1289 #define mpf_abs __gmpf_abs
1290 __GMP_DECLSPEC void mpf_abs __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1291 
1292 #define mpf_add __gmpf_add
1293 __GMP_DECLSPEC void mpf_add __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1294 
1295 #define mpf_add_ui __gmpf_add_ui
1296 __GMP_DECLSPEC void mpf_add_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1297 #define mpf_ceil __gmpf_ceil
1298 __GMP_DECLSPEC void mpf_ceil __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1299 
1300 #define mpf_clear __gmpf_clear
1301 __GMP_DECLSPEC void mpf_clear __GMP_PROTO ((mpf_ptr));
1302 
1303 #define mpf_clears __gmpf_clears
1304 __GMP_DECLSPEC void mpf_clears __GMP_PROTO ((mpf_ptr, ...));
1305 
1306 #define mpf_cmp __gmpf_cmp
1307 __GMP_DECLSPEC int mpf_cmp __GMP_PROTO ((mpf_srcptr, mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1308 
1309 #define mpf_cmp_d __gmpf_cmp_d
1310 __GMP_DECLSPEC int mpf_cmp_d __GMP_PROTO ((mpf_srcptr, double)) __GMP_ATTRIBUTE_PURE;
1311 
1312 #define mpf_cmp_si __gmpf_cmp_si
1313 __GMP_DECLSPEC int mpf_cmp_si __GMP_PROTO ((mpf_srcptr, signed long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1314 
1315 #define mpf_cmp_ui __gmpf_cmp_ui
1316 __GMP_DECLSPEC int mpf_cmp_ui __GMP_PROTO ((mpf_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1317 
1318 #define mpf_div __gmpf_div
1319 __GMP_DECLSPEC void mpf_div __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1320 
1321 #define mpf_div_2exp __gmpf_div_2exp
1322 __GMP_DECLSPEC void mpf_div_2exp __GMP_PROTO ((mpf_ptr, mpf_srcptr, mp_bitcnt_t));
1323 
1324 #define mpf_div_ui __gmpf_div_ui
1325 __GMP_DECLSPEC void mpf_div_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1326 
1327 #define mpf_dump __gmpf_dump
1328 __GMP_DECLSPEC void mpf_dump __GMP_PROTO ((mpf_srcptr));
1329 
1330 #define mpf_eq __gmpf_eq
1331 __GMP_DECLSPEC int mpf_eq __GMP_PROTO ((mpf_srcptr, mpf_srcptr, mp_bitcnt_t)) __GMP_ATTRIBUTE_PURE;
1332 
1333 #define mpf_fits_sint_p __gmpf_fits_sint_p
1334 __GMP_DECLSPEC int mpf_fits_sint_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1335 
1336 #define mpf_fits_slong_p __gmpf_fits_slong_p
1337 __GMP_DECLSPEC int mpf_fits_slong_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1338 
1339 #define mpf_fits_sshort_p __gmpf_fits_sshort_p
1340 __GMP_DECLSPEC int mpf_fits_sshort_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1341 
1342 #define mpf_fits_uint_p __gmpf_fits_uint_p
1343 __GMP_DECLSPEC int mpf_fits_uint_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1344 
1345 #define mpf_fits_ulong_p __gmpf_fits_ulong_p
1346 __GMP_DECLSPEC int mpf_fits_ulong_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1347 
1348 #define mpf_fits_ushort_p __gmpf_fits_ushort_p
1349 __GMP_DECLSPEC int mpf_fits_ushort_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1350 
1351 #define mpf_floor __gmpf_floor
1352 __GMP_DECLSPEC void mpf_floor __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1353 
1354 #define mpf_get_d __gmpf_get_d
1355 __GMP_DECLSPEC double mpf_get_d __GMP_PROTO ((mpf_srcptr)) __GMP_ATTRIBUTE_PURE;
1356 
1357 #define mpf_get_d_2exp __gmpf_get_d_2exp
1358 __GMP_DECLSPEC double mpf_get_d_2exp __GMP_PROTO ((signed long int *, mpf_srcptr));
1359 
1360 #define mpf_get_default_prec __gmpf_get_default_prec
1361 __GMP_DECLSPEC mp_bitcnt_t mpf_get_default_prec __GMP_PROTO ((void)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1362 
1363 #define mpf_get_prec __gmpf_get_prec
1364 __GMP_DECLSPEC mp_bitcnt_t mpf_get_prec __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1365 
1366 #define mpf_get_si __gmpf_get_si
1367 __GMP_DECLSPEC long mpf_get_si __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1368 
1369 #define mpf_get_str __gmpf_get_str
1370 __GMP_DECLSPEC char *mpf_get_str __GMP_PROTO ((char *, mp_exp_t *, int, size_t, mpf_srcptr));
1371 
1372 #define mpf_get_ui __gmpf_get_ui
1373 __GMP_DECLSPEC unsigned long mpf_get_ui __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1374 
1375 #define mpf_init __gmpf_init
1376 __GMP_DECLSPEC void mpf_init __GMP_PROTO ((mpf_ptr));
1377 
1378 #define mpf_init2 __gmpf_init2
1379 __GMP_DECLSPEC void mpf_init2 __GMP_PROTO ((mpf_ptr, mp_bitcnt_t));
1380 
1381 #define mpf_inits __gmpf_inits
1382 __GMP_DECLSPEC void mpf_inits __GMP_PROTO ((mpf_ptr, ...));
1383 
1384 #define mpf_init_set __gmpf_init_set
1385 __GMP_DECLSPEC void mpf_init_set __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1386 
1387 #define mpf_init_set_d __gmpf_init_set_d
1388 __GMP_DECLSPEC void mpf_init_set_d __GMP_PROTO ((mpf_ptr, double));
1389 
1390 #define mpf_init_set_si __gmpf_init_set_si
1391 __GMP_DECLSPEC void mpf_init_set_si __GMP_PROTO ((mpf_ptr, signed long int));
1392 
1393 #define mpf_init_set_str __gmpf_init_set_str
1394 __GMP_DECLSPEC int mpf_init_set_str __GMP_PROTO ((mpf_ptr, __gmp_const char *, int));
1395 
1396 #define mpf_init_set_ui __gmpf_init_set_ui
1397 __GMP_DECLSPEC void mpf_init_set_ui __GMP_PROTO ((mpf_ptr, unsigned long int));
1398 
1399 #define mpf_inp_str __gmpf_inp_str
1400 #ifdef _GMP_H_HAVE_FILE
1401 __GMP_DECLSPEC size_t mpf_inp_str __GMP_PROTO ((mpf_ptr, FILE *, int));
1402 #endif
1403 
1404 #define mpf_integer_p __gmpf_integer_p
1405 __GMP_DECLSPEC int mpf_integer_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1406 
1407 #define mpf_mul __gmpf_mul
1408 __GMP_DECLSPEC void mpf_mul __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1409 
1410 #define mpf_mul_2exp __gmpf_mul_2exp
1411 __GMP_DECLSPEC void mpf_mul_2exp __GMP_PROTO ((mpf_ptr, mpf_srcptr, mp_bitcnt_t));
1412 
1413 #define mpf_mul_ui __gmpf_mul_ui
1414 __GMP_DECLSPEC void mpf_mul_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1415 
1416 #define mpf_neg __gmpf_neg
1417 __GMP_DECLSPEC void mpf_neg __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1418 
1419 #define mpf_out_str __gmpf_out_str
1420 #ifdef _GMP_H_HAVE_FILE
1421 __GMP_DECLSPEC size_t mpf_out_str __GMP_PROTO ((FILE *, int, size_t, mpf_srcptr));
1422 #endif
1423 
1424 #define mpf_pow_ui __gmpf_pow_ui
1425 __GMP_DECLSPEC void mpf_pow_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1426 
1427 #define mpf_random2 __gmpf_random2
1428 __GMP_DECLSPEC void mpf_random2 __GMP_PROTO ((mpf_ptr, mp_size_t, mp_exp_t));
1429 
1430 #define mpf_reldiff __gmpf_reldiff
1431 __GMP_DECLSPEC void mpf_reldiff __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1432 
1433 #define mpf_set __gmpf_set
1434 __GMP_DECLSPEC void mpf_set __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1435 
1436 #define mpf_set_d __gmpf_set_d
1437 __GMP_DECLSPEC void mpf_set_d __GMP_PROTO ((mpf_ptr, double));
1438 
1439 #define mpf_set_default_prec __gmpf_set_default_prec
1440 __GMP_DECLSPEC void mpf_set_default_prec __GMP_PROTO ((mp_bitcnt_t)) __GMP_NOTHROW;
1441 
1442 #define mpf_set_prec __gmpf_set_prec
1443 __GMP_DECLSPEC void mpf_set_prec __GMP_PROTO ((mpf_ptr, mp_bitcnt_t));
1444 
1445 #define mpf_set_prec_raw __gmpf_set_prec_raw
1446 __GMP_DECLSPEC void mpf_set_prec_raw __GMP_PROTO ((mpf_ptr, mp_bitcnt_t)) __GMP_NOTHROW;
1447 
1448 #define mpf_set_q __gmpf_set_q
1449 __GMP_DECLSPEC void mpf_set_q __GMP_PROTO ((mpf_ptr, mpq_srcptr));
1450 
1451 #define mpf_set_si __gmpf_set_si
1452 __GMP_DECLSPEC void mpf_set_si __GMP_PROTO ((mpf_ptr, signed long int));
1453 
1454 #define mpf_set_str __gmpf_set_str
1455 __GMP_DECLSPEC int mpf_set_str __GMP_PROTO ((mpf_ptr, __gmp_const char *, int));
1456 
1457 #define mpf_set_ui __gmpf_set_ui
1458 __GMP_DECLSPEC void mpf_set_ui __GMP_PROTO ((mpf_ptr, unsigned long int));
1459 
1460 #define mpf_set_z __gmpf_set_z
1461 __GMP_DECLSPEC void mpf_set_z __GMP_PROTO ((mpf_ptr, mpz_srcptr));
1462 
1463 #define mpf_size __gmpf_size
1464 __GMP_DECLSPEC size_t mpf_size __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1465 
1466 #define mpf_sqrt __gmpf_sqrt
1467 __GMP_DECLSPEC void mpf_sqrt __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1468 
1469 #define mpf_sqrt_ui __gmpf_sqrt_ui
1470 __GMP_DECLSPEC void mpf_sqrt_ui __GMP_PROTO ((mpf_ptr, unsigned long int));
1471 
1472 #define mpf_sub __gmpf_sub
1473 __GMP_DECLSPEC void mpf_sub __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1474 
1475 #define mpf_sub_ui __gmpf_sub_ui
1476 __GMP_DECLSPEC void mpf_sub_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1477 
1478 #define mpf_swap __gmpf_swap
1479 __GMP_DECLSPEC void mpf_swap __GMP_PROTO ((mpf_ptr, mpf_ptr)) __GMP_NOTHROW;
1480 
1481 #define mpf_trunc __gmpf_trunc
1482 __GMP_DECLSPEC void mpf_trunc __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1483 
1484 #define mpf_ui_div __gmpf_ui_div
1485 __GMP_DECLSPEC void mpf_ui_div __GMP_PROTO ((mpf_ptr, unsigned long int, mpf_srcptr));
1486 
1487 #define mpf_ui_sub __gmpf_ui_sub
1488 __GMP_DECLSPEC void mpf_ui_sub __GMP_PROTO ((mpf_ptr, unsigned long int, mpf_srcptr));
1489 
1490 #define mpf_urandomb __gmpf_urandomb
1491 __GMP_DECLSPEC void mpf_urandomb __GMP_PROTO ((mpf_t, gmp_randstate_t, mp_bitcnt_t));
1492 
1493 
1494 /************ Low level positive-integer (i.e. N) routines.  ************/
1495 
1496 /* This is ugly, but we need to make user calls reach the prefixed function. */
1497 
1498 #define mpn_add __MPN(add)
1499 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add)
1500 __GMP_DECLSPEC mp_limb_t mpn_add __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr,mp_size_t));
1501 #endif
1502 
1503 #define mpn_add_1 __MPN(add_1)
1504 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add_1)
1505 __GMP_DECLSPEC mp_limb_t mpn_add_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)) __GMP_NOTHROW;
1506 #endif
1507 
1508 #define mpn_add_n __MPN(add_n)
1509 __GMP_DECLSPEC mp_limb_t mpn_add_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1510 
1511 #define mpn_addmul_1 __MPN(addmul_1)
1512 __GMP_DECLSPEC mp_limb_t mpn_addmul_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1513 
1514 #define mpn_cmp __MPN(cmp)
1515 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_cmp)
1516 __GMP_DECLSPEC int mpn_cmp __GMP_PROTO ((mp_srcptr, mp_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1517 #endif
1518 
1519 #define mpn_divexact_by3(dst,src,size) \
1520   mpn_divexact_by3c (dst, src, size, __GMP_CAST (mp_limb_t, 0))
1521 
1522 #define mpn_divexact_by3c __MPN(divexact_by3c)
1523 __GMP_DECLSPEC mp_limb_t mpn_divexact_by3c __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1524 
1525 #define mpn_divmod_1(qp,np,nsize,dlimb) \
1526   mpn_divrem_1 (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dlimb)
1527 
1528 #define mpn_divrem __MPN(divrem)
1529 __GMP_DECLSPEC mp_limb_t mpn_divrem __GMP_PROTO ((mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t));
1530 
1531 #define mpn_divrem_1 __MPN(divrem_1)
1532 __GMP_DECLSPEC mp_limb_t mpn_divrem_1 __GMP_PROTO ((mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t));
1533 
1534 #define mpn_divrem_2 __MPN(divrem_2)
1535 __GMP_DECLSPEC mp_limb_t mpn_divrem_2 __GMP_PROTO ((mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr));
1536 
1537 #define mpn_gcd __MPN(gcd)
1538 __GMP_DECLSPEC mp_size_t mpn_gcd __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t));
1539 
1540 #define mpn_gcd_1 __MPN(gcd_1)
1541 __GMP_DECLSPEC mp_limb_t mpn_gcd_1 __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t)) __GMP_ATTRIBUTE_PURE;
1542 
1543 #define mpn_gcdext_1 __MPN(gcdext_1)
1544 __GMP_DECLSPEC mp_limb_t mpn_gcdext_1 __GMP_PROTO ((mp_limb_signed_t *, mp_limb_signed_t *, mp_limb_t, mp_limb_t));
1545 
1546 #define mpn_gcdext __MPN(gcdext)
1547 __GMP_DECLSPEC mp_size_t mpn_gcdext __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t *, mp_ptr, mp_size_t, mp_ptr, mp_size_t));
1548 
1549 #define mpn_get_str __MPN(get_str)
1550 __GMP_DECLSPEC size_t mpn_get_str __GMP_PROTO ((unsigned char *, int, mp_ptr, mp_size_t));
1551 
1552 #define mpn_hamdist __MPN(hamdist)
1553 __GMP_DECLSPEC mp_bitcnt_t mpn_hamdist __GMP_PROTO ((mp_srcptr, mp_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1554 
1555 #define mpn_lshift __MPN(lshift)
1556 __GMP_DECLSPEC mp_limb_t mpn_lshift __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int));
1557 
1558 #define mpn_mod_1 __MPN(mod_1)
1559 __GMP_DECLSPEC mp_limb_t mpn_mod_1 __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t)) __GMP_ATTRIBUTE_PURE;
1560 
1561 #define mpn_mul __MPN(mul)
1562 __GMP_DECLSPEC mp_limb_t mpn_mul __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t));
1563 
1564 #define mpn_mul_1 __MPN(mul_1)
1565 __GMP_DECLSPEC mp_limb_t mpn_mul_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1566 
1567 #define mpn_mul_n __MPN(mul_n)
1568 __GMP_DECLSPEC void mpn_mul_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1569 
1570 #define mpn_sqr __MPN(sqr)
1571 __GMP_DECLSPEC void mpn_sqr __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1572 
1573 #define mpn_neg __MPN(neg)
1574 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_neg)
1575 __GMP_DECLSPEC mp_limb_t mpn_neg __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1576 #endif
1577 
1578 #define mpn_com __MPN(com)
1579 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_com)
1580 __GMP_DECLSPEC void mpn_com __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1581 #endif
1582 
1583 #define mpn_perfect_square_p __MPN(perfect_square_p)
1584 __GMP_DECLSPEC int mpn_perfect_square_p __GMP_PROTO ((mp_srcptr, mp_size_t)) __GMP_ATTRIBUTE_PURE;
1585 
1586 #define mpn_perfect_power_p __MPN(perfect_power_p)
1587 __GMP_DECLSPEC int mpn_perfect_power_p __GMP_PROTO ((mp_srcptr, mp_size_t)) __GMP_ATTRIBUTE_PURE;
1588 
1589 #define mpn_popcount __MPN(popcount)
1590 __GMP_DECLSPEC mp_bitcnt_t mpn_popcount __GMP_PROTO ((mp_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1591 
1592 #define mpn_pow_1 __MPN(pow_1)
1593 __GMP_DECLSPEC mp_size_t mpn_pow_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr));
1594 
1595 /* undocumented now, but retained here for upward compatibility */
1596 #define mpn_preinv_mod_1 __MPN(preinv_mod_1)
1597 __GMP_DECLSPEC mp_limb_t mpn_preinv_mod_1 __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t)) __GMP_ATTRIBUTE_PURE;
1598 
1599 #define mpn_random __MPN(random)
1600 __GMP_DECLSPEC void mpn_random __GMP_PROTO ((mp_ptr, mp_size_t));
1601 
1602 #define mpn_random2 __MPN(random2)
1603 __GMP_DECLSPEC void mpn_random2 __GMP_PROTO ((mp_ptr, mp_size_t));
1604 
1605 #define mpn_rshift __MPN(rshift)
1606 __GMP_DECLSPEC mp_limb_t mpn_rshift __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int));
1607 
1608 #define mpn_scan0 __MPN(scan0)
1609 __GMP_DECLSPEC mp_bitcnt_t mpn_scan0 __GMP_PROTO ((mp_srcptr, mp_bitcnt_t)) __GMP_ATTRIBUTE_PURE;
1610 
1611 #define mpn_scan1 __MPN(scan1)
1612 __GMP_DECLSPEC mp_bitcnt_t mpn_scan1 __GMP_PROTO ((mp_srcptr, mp_bitcnt_t)) __GMP_ATTRIBUTE_PURE;
1613 
1614 #define mpn_set_str __MPN(set_str)
1615 __GMP_DECLSPEC mp_size_t mpn_set_str __GMP_PROTO ((mp_ptr, __gmp_const unsigned char *, size_t, int));
1616 
1617 #define mpn_sqrtrem __MPN(sqrtrem)
1618 __GMP_DECLSPEC mp_size_t mpn_sqrtrem __GMP_PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_size_t));
1619 
1620 #define mpn_sub __MPN(sub)
1621 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub)
1622 __GMP_DECLSPEC mp_limb_t mpn_sub __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr,mp_size_t));
1623 #endif
1624 
1625 #define mpn_sub_1 __MPN(sub_1)
1626 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub_1)
1627 __GMP_DECLSPEC mp_limb_t mpn_sub_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)) __GMP_NOTHROW;
1628 #endif
1629 
1630 #define mpn_sub_n __MPN(sub_n)
1631 __GMP_DECLSPEC mp_limb_t mpn_sub_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1632 
1633 #define mpn_submul_1 __MPN(submul_1)
1634 __GMP_DECLSPEC mp_limb_t mpn_submul_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1635 
1636 #define mpn_tdiv_qr __MPN(tdiv_qr)
1637 __GMP_DECLSPEC void mpn_tdiv_qr __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t));
1638 
1639 #define mpn_and_n __MPN(and_n)
1640 __GMP_DECLSPEC void mpn_and_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1641 #define mpn_andn_n __MPN(andn_n)
1642 __GMP_DECLSPEC void mpn_andn_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1643 #define mpn_nand_n __MPN(nand_n)
1644 __GMP_DECLSPEC void mpn_nand_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1645 #define mpn_ior_n __MPN(ior_n)
1646 __GMP_DECLSPEC void mpn_ior_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1647 #define mpn_iorn_n __MPN(iorn_n)
1648 __GMP_DECLSPEC void mpn_iorn_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1649 #define mpn_nior_n __MPN(nior_n)
1650 __GMP_DECLSPEC void mpn_nior_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1651 #define mpn_xor_n __MPN(xor_n)
1652 __GMP_DECLSPEC void mpn_xor_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1653 #define mpn_xnor_n __MPN(xnor_n)
1654 __GMP_DECLSPEC void mpn_xnor_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1655 
1656 #define mpn_copyi __MPN(copyi)
1657 __GMP_DECLSPEC void mpn_copyi __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1658 #define mpn_copyd __MPN(copyd)
1659 __GMP_DECLSPEC void mpn_copyd __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1660 #define mpn_zero __MPN(zero)
1661 __GMP_DECLSPEC void mpn_zero __GMP_PROTO ((mp_ptr, mp_size_t));
1662 
1663 /**************** mpz inlines ****************/
1664 
1665 /* The following are provided as inlines where possible, but always exist as
1666    library functions too, for binary compatibility.
1667 
1668    Within gmp itself this inlining generally isn't relied on, since it
1669    doesn't get done for all compilers, whereas if something is worth
1670    inlining then it's worth arranging always.
1671 
1672    There are two styles of inlining here.  When the same bit of code is
1673    wanted for the inline as for the library version, then __GMP_FORCE_foo
1674    arranges for that code to be emitted and the __GMP_EXTERN_INLINE
1675    directive suppressed, eg. mpz_fits_uint_p.  When a different bit of code
1676    is wanted for the inline than for the library version, then
1677    __GMP_FORCE_foo arranges the inline to be suppressed, eg. mpz_abs.  */
1678 
1679 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_abs)
1680 __GMP_EXTERN_INLINE void
mpz_abs(mpz_ptr __gmp_w,mpz_srcptr __gmp_u)1681 mpz_abs (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1682 {
1683   if (__gmp_w != __gmp_u)
1684     mpz_set (__gmp_w, __gmp_u);
1685   __gmp_w->_mp_size = __GMP_ABS (__gmp_w->_mp_size);
1686 }
1687 #endif
1688 
1689 #if GMP_NAIL_BITS == 0
1690 #define __GMPZ_FITS_UTYPE_P(z,maxval)					\
1691   mp_size_t  __gmp_n = z->_mp_size;					\
1692   mp_ptr  __gmp_p = z->_mp_d;						\
1693   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval));
1694 #else
1695 #define __GMPZ_FITS_UTYPE_P(z,maxval)					\
1696   mp_size_t  __gmp_n = z->_mp_size;					\
1697   mp_ptr  __gmp_p = z->_mp_d;						\
1698   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval)	\
1699 	  || (__gmp_n == 2 && __gmp_p[1] <= ((mp_limb_t) maxval >> GMP_NUMB_BITS)));
1700 #endif
1701 
1702 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_uint_p)
1703 #if ! defined (__GMP_FORCE_mpz_fits_uint_p)
1704 __GMP_EXTERN_INLINE
1705 #endif
1706 int
mpz_fits_uint_p(mpz_srcptr __gmp_z)1707 mpz_fits_uint_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1708 {
1709   __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_UINT_MAX);
1710 }
1711 #endif
1712 
1713 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ulong_p)
1714 #if ! defined (__GMP_FORCE_mpz_fits_ulong_p)
1715 __GMP_EXTERN_INLINE
1716 #endif
1717 int
mpz_fits_ulong_p(mpz_srcptr __gmp_z)1718 mpz_fits_ulong_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1719 {
1720   __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_ULONG_MAX);
1721 }
1722 #endif
1723 
1724 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ushort_p)
1725 #if ! defined (__GMP_FORCE_mpz_fits_ushort_p)
1726 __GMP_EXTERN_INLINE
1727 #endif
1728 int
mpz_fits_ushort_p(mpz_srcptr __gmp_z)1729 mpz_fits_ushort_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1730 {
1731   __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_USHRT_MAX);
1732 }
1733 #endif
1734 
1735 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_get_ui)
1736 #if ! defined (__GMP_FORCE_mpz_get_ui)
1737 __GMP_EXTERN_INLINE
1738 #endif
1739 unsigned long
mpz_get_ui(mpz_srcptr __gmp_z)1740 mpz_get_ui (mpz_srcptr __gmp_z) __GMP_NOTHROW
1741 {
1742   mp_ptr __gmp_p = __gmp_z->_mp_d;
1743   mp_size_t __gmp_n = __gmp_z->_mp_size;
1744   mp_limb_t __gmp_l = __gmp_p[0];
1745   /* This is a "#if" rather than a plain "if" so as to avoid gcc warnings
1746      about "<< GMP_NUMB_BITS" exceeding the type size, and to avoid Borland
1747      C++ 6.0 warnings about condition always true for something like
1748      "__GMP_ULONG_MAX < GMP_NUMB_MASK".  */
1749 #if GMP_NAIL_BITS == 0 || defined (_LONG_LONG_LIMB)
1750   /* limb==long and no nails, or limb==longlong, one limb is enough */
1751   return (__gmp_n != 0 ? __gmp_l : 0);
1752 #else
1753   /* limb==long and nails, need two limbs when available */
1754   __gmp_n = __GMP_ABS (__gmp_n);
1755   if (__gmp_n <= 1)
1756     return (__gmp_n != 0 ? __gmp_l : 0);
1757   else
1758     return __gmp_l + (__gmp_p[1] << GMP_NUMB_BITS);
1759 #endif
1760 }
1761 #endif
1762 
1763 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_getlimbn)
1764 #if ! defined (__GMP_FORCE_mpz_getlimbn)
1765 __GMP_EXTERN_INLINE
1766 #endif
1767 mp_limb_t
mpz_getlimbn(mpz_srcptr __gmp_z,mp_size_t __gmp_n)1768 mpz_getlimbn (mpz_srcptr __gmp_z, mp_size_t __gmp_n) __GMP_NOTHROW
1769 {
1770   mp_limb_t  __gmp_result = 0;
1771   if (__GMP_LIKELY (__gmp_n >= 0 && __gmp_n < __GMP_ABS (__gmp_z->_mp_size)))
1772     __gmp_result = __gmp_z->_mp_d[__gmp_n];
1773   return __gmp_result;
1774 }
1775 #endif
1776 
1777 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_neg)
1778 __GMP_EXTERN_INLINE void
mpz_neg(mpz_ptr __gmp_w,mpz_srcptr __gmp_u)1779 mpz_neg (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1780 {
1781   if (__gmp_w != __gmp_u)
1782     mpz_set (__gmp_w, __gmp_u);
1783   __gmp_w->_mp_size = - __gmp_w->_mp_size;
1784 }
1785 #endif
1786 
1787 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_perfect_square_p)
1788 #if ! defined (__GMP_FORCE_mpz_perfect_square_p)
1789 __GMP_EXTERN_INLINE
1790 #endif
1791 int
mpz_perfect_square_p(mpz_srcptr __gmp_a)1792 mpz_perfect_square_p (mpz_srcptr __gmp_a)
1793 {
1794   mp_size_t __gmp_asize;
1795   int       __gmp_result;
1796 
1797   __gmp_asize = __gmp_a->_mp_size;
1798   __gmp_result = (__gmp_asize >= 0);  /* zero is a square, negatives are not */
1799   if (__GMP_LIKELY (__gmp_asize > 0))
1800     __gmp_result = mpn_perfect_square_p (__gmp_a->_mp_d, __gmp_asize);
1801   return __gmp_result;
1802 }
1803 #endif
1804 
1805 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_popcount)
1806 #if ! defined (__GMP_FORCE_mpz_popcount)
1807 __GMP_EXTERN_INLINE
1808 #endif
1809 mp_bitcnt_t
mpz_popcount(mpz_srcptr __gmp_u)1810 mpz_popcount (mpz_srcptr __gmp_u) __GMP_NOTHROW
1811 {
1812   mp_size_t      __gmp_usize;
1813   mp_bitcnt_t    __gmp_result;
1814 
1815   __gmp_usize = __gmp_u->_mp_size;
1816   __gmp_result = (__gmp_usize < 0 ? __GMP_ULONG_MAX : 0);
1817   if (__GMP_LIKELY (__gmp_usize > 0))
1818     __gmp_result =  mpn_popcount (__gmp_u->_mp_d, __gmp_usize);
1819   return __gmp_result;
1820 }
1821 #endif
1822 
1823 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_set_q)
1824 #if ! defined (__GMP_FORCE_mpz_set_q)
1825 __GMP_EXTERN_INLINE
1826 #endif
1827 void
mpz_set_q(mpz_ptr __gmp_w,mpq_srcptr __gmp_u)1828 mpz_set_q (mpz_ptr __gmp_w, mpq_srcptr __gmp_u)
1829 {
1830   mpz_tdiv_q (__gmp_w, mpq_numref (__gmp_u), mpq_denref (__gmp_u));
1831 }
1832 #endif
1833 
1834 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_size)
1835 #if ! defined (__GMP_FORCE_mpz_size)
1836 __GMP_EXTERN_INLINE
1837 #endif
1838 size_t
mpz_size(mpz_srcptr __gmp_z)1839 mpz_size (mpz_srcptr __gmp_z) __GMP_NOTHROW
1840 {
1841   return __GMP_ABS (__gmp_z->_mp_size);
1842 }
1843 #endif
1844 
1845 
1846 /**************** mpq inlines ****************/
1847 
1848 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_abs)
1849 __GMP_EXTERN_INLINE void
mpq_abs(mpq_ptr __gmp_w,mpq_srcptr __gmp_u)1850 mpq_abs (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1851 {
1852   if (__gmp_w != __gmp_u)
1853     mpq_set (__gmp_w, __gmp_u);
1854   __gmp_w->_mp_num._mp_size = __GMP_ABS (__gmp_w->_mp_num._mp_size);
1855 }
1856 #endif
1857 
1858 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_neg)
1859 __GMP_EXTERN_INLINE void
mpq_neg(mpq_ptr __gmp_w,mpq_srcptr __gmp_u)1860 mpq_neg (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1861 {
1862   if (__gmp_w != __gmp_u)
1863     mpq_set (__gmp_w, __gmp_u);
1864   __gmp_w->_mp_num._mp_size = - __gmp_w->_mp_num._mp_size;
1865 }
1866 #endif
1867 
1868 
1869 /**************** mpn inlines ****************/
1870 
1871 /* The comments with __GMPN_ADD_1 below apply here too.
1872 
1873    The test for FUNCTION returning 0 should predict well.  If it's assumed
1874    {yp,ysize} will usually have a random number of bits then the high limb
1875    won't be full and a carry out will occur a good deal less than 50% of the
1876    time.
1877 
1878    ysize==0 isn't a documented feature, but is used internally in a few
1879    places.
1880 
1881    Producing cout last stops it using up a register during the main part of
1882    the calculation, though gcc (as of 3.0) on an "if (mpn_add (...))"
1883    doesn't seem able to move the true and false legs of the conditional up
1884    to the two places cout is generated.  */
1885 
1886 #define __GMPN_AORS(cout, wp, xp, xsize, yp, ysize, FUNCTION, TEST)     \
1887   do {                                                                  \
1888     mp_size_t  __gmp_i;                                                 \
1889     mp_limb_t  __gmp_x;                                                 \
1890                                                                         \
1891     /* ASSERT ((ysize) >= 0); */                                        \
1892     /* ASSERT ((xsize) >= (ysize)); */                                  \
1893     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, xp, xsize)); */      \
1894     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, yp, ysize)); */      \
1895                                                                         \
1896     __gmp_i = (ysize);                                                  \
1897     if (__gmp_i != 0)                                                   \
1898       {                                                                 \
1899         if (FUNCTION (wp, xp, yp, __gmp_i))                             \
1900           {                                                             \
1901             do                                                          \
1902               {                                                         \
1903                 if (__gmp_i >= (xsize))                                 \
1904                   {                                                     \
1905                     (cout) = 1;                                         \
1906                     goto __gmp_done;                                    \
1907                   }                                                     \
1908                 __gmp_x = (xp)[__gmp_i];                                \
1909               }                                                         \
1910             while (TEST);                                               \
1911           }                                                             \
1912       }                                                                 \
1913     if ((wp) != (xp))                                                   \
1914       __GMPN_COPY_REST (wp, xp, xsize, __gmp_i);                        \
1915     (cout) = 0;                                                         \
1916   __gmp_done:                                                           \
1917     ;                                                                   \
1918   } while (0)
1919 
1920 #define __GMPN_ADD(cout, wp, xp, xsize, yp, ysize)              \
1921   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_add_n,       \
1922                (((wp)[__gmp_i++] = (__gmp_x + 1) & GMP_NUMB_MASK) == 0))
1923 #define __GMPN_SUB(cout, wp, xp, xsize, yp, ysize)              \
1924   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_sub_n,       \
1925                (((wp)[__gmp_i++] = (__gmp_x - 1) & GMP_NUMB_MASK), __gmp_x == 0))
1926 
1927 
1928 /* The use of __gmp_i indexing is designed to ensure a compile time src==dst
1929    remains nice and clear to the compiler, so that __GMPN_COPY_REST can
1930    disappear, and the load/add/store gets a chance to become a
1931    read-modify-write on CISC CPUs.
1932 
1933    Alternatives:
1934 
1935    Using a pair of pointers instead of indexing would be possible, but gcc
1936    isn't able to recognise compile-time src==dst in that case, even when the
1937    pointers are incremented more or less together.  Other compilers would
1938    very likely have similar difficulty.
1939 
1940    gcc could use "if (__builtin_constant_p(src==dst) && src==dst)" or
1941    similar to detect a compile-time src==dst.  This works nicely on gcc
1942    2.95.x, it's not good on gcc 3.0 where __builtin_constant_p(p==p) seems
1943    to be always false, for a pointer p.  But the current code form seems
1944    good enough for src==dst anyway.
1945 
1946    gcc on x86 as usual doesn't give particularly good flags handling for the
1947    carry/borrow detection.  It's tempting to want some multi instruction asm
1948    blocks to help it, and this was tried, but in truth there's only a few
1949    instructions to save and any gain is all too easily lost by register
1950    juggling setting up for the asm.  */
1951 
1952 #if GMP_NAIL_BITS == 0
1953 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
1954   do {								\
1955     mp_size_t  __gmp_i;						\
1956     mp_limb_t  __gmp_x, __gmp_r;                                \
1957 								\
1958     /* ASSERT ((n) >= 1); */					\
1959     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
1960 								\
1961     __gmp_x = (src)[0];						\
1962     __gmp_r = __gmp_x OP (v);                                   \
1963     (dst)[0] = __gmp_r;						\
1964     if (CB (__gmp_r, __gmp_x, (v)))                             \
1965       {								\
1966 	(cout) = 1;						\
1967 	for (__gmp_i = 1; __gmp_i < (n);)                       \
1968 	  {							\
1969 	    __gmp_x = (src)[__gmp_i];                           \
1970 	    __gmp_r = __gmp_x OP 1;                             \
1971 	    (dst)[__gmp_i] = __gmp_r;                           \
1972 	    ++__gmp_i;						\
1973 	    if (!CB (__gmp_r, __gmp_x, 1))                      \
1974 	      {							\
1975 		if ((src) != (dst))				\
1976 		  __GMPN_COPY_REST (dst, src, n, __gmp_i);      \
1977 		(cout) = 0;					\
1978 		break;						\
1979 	      }							\
1980 	  }							\
1981       }								\
1982     else							\
1983       {								\
1984 	if ((src) != (dst))					\
1985 	  __GMPN_COPY_REST (dst, src, n, 1);			\
1986 	(cout) = 0;						\
1987       }								\
1988   } while (0)
1989 #endif
1990 
1991 #if GMP_NAIL_BITS >= 1
1992 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
1993   do {								\
1994     mp_size_t  __gmp_i;						\
1995     mp_limb_t  __gmp_x, __gmp_r;				\
1996 								\
1997     /* ASSERT ((n) >= 1); */					\
1998     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
1999 								\
2000     __gmp_x = (src)[0];						\
2001     __gmp_r = __gmp_x OP (v);					\
2002     (dst)[0] = __gmp_r & GMP_NUMB_MASK;				\
2003     if (__gmp_r >> GMP_NUMB_BITS != 0)				\
2004       {								\
2005 	(cout) = 1;						\
2006 	for (__gmp_i = 1; __gmp_i < (n);)			\
2007 	  {							\
2008 	    __gmp_x = (src)[__gmp_i];				\
2009 	    __gmp_r = __gmp_x OP 1;				\
2010 	    (dst)[__gmp_i] = __gmp_r & GMP_NUMB_MASK;		\
2011 	    ++__gmp_i;						\
2012 	    if (__gmp_r >> GMP_NUMB_BITS == 0)			\
2013 	      {							\
2014 		if ((src) != (dst))				\
2015 		  __GMPN_COPY_REST (dst, src, n, __gmp_i);	\
2016 		(cout) = 0;					\
2017 		break;						\
2018 	      }							\
2019 	  }							\
2020       }								\
2021     else							\
2022       {								\
2023 	if ((src) != (dst))					\
2024 	  __GMPN_COPY_REST (dst, src, n, 1);			\
2025 	(cout) = 0;						\
2026       }								\
2027   } while (0)
2028 #endif
2029 
2030 #define __GMPN_ADDCB(r,x,y) ((r) < (y))
2031 #define __GMPN_SUBCB(r,x,y) ((x) < (y))
2032 
2033 #define __GMPN_ADD_1(cout, dst, src, n, v)	     \
2034   __GMPN_AORS_1(cout, dst, src, n, v, +, __GMPN_ADDCB)
2035 #define __GMPN_SUB_1(cout, dst, src, n, v)	     \
2036   __GMPN_AORS_1(cout, dst, src, n, v, -, __GMPN_SUBCB)
2037 
2038 
2039 /* Compare {xp,size} and {yp,size}, setting "result" to positive, zero or
2040    negative.  size==0 is allowed.  On random data usually only one limb will
2041    need to be examined to get a result, so it's worth having it inline.  */
2042 #define __GMPN_CMP(result, xp, yp, size)                                \
2043   do {                                                                  \
2044     mp_size_t  __gmp_i;                                                 \
2045     mp_limb_t  __gmp_x, __gmp_y;                                        \
2046                                                                         \
2047     /* ASSERT ((size) >= 0); */                                         \
2048                                                                         \
2049     (result) = 0;                                                       \
2050     __gmp_i = (size);                                                   \
2051     while (--__gmp_i >= 0)                                              \
2052       {                                                                 \
2053         __gmp_x = (xp)[__gmp_i];                                        \
2054         __gmp_y = (yp)[__gmp_i];                                        \
2055         if (__gmp_x != __gmp_y)                                         \
2056           {                                                             \
2057             /* Cannot use __gmp_x - __gmp_y, may overflow an "int" */   \
2058             (result) = (__gmp_x > __gmp_y ? 1 : -1);                    \
2059             break;                                                      \
2060           }                                                             \
2061       }                                                                 \
2062   } while (0)
2063 
2064 
2065 #if defined (__GMPN_COPY) && ! defined (__GMPN_COPY_REST)
2066 #define __GMPN_COPY_REST(dst, src, size, start)                 \
2067   do {                                                          \
2068     /* ASSERT ((start) >= 0); */                                \
2069     /* ASSERT ((start) <= (size)); */                           \
2070     __GMPN_COPY ((dst)+(start), (src)+(start), (size)-(start)); \
2071   } while (0)
2072 #endif
2073 
2074 /* Copy {src,size} to {dst,size}, starting at "start".  This is designed to
2075    keep the indexing dst[j] and src[j] nice and simple for __GMPN_ADD_1,
2076    __GMPN_ADD, etc.  */
2077 #if ! defined (__GMPN_COPY_REST)
2078 #define __GMPN_COPY_REST(dst, src, size, start)                 \
2079   do {                                                          \
2080     mp_size_t __gmp_j;                                          \
2081     /* ASSERT ((size) >= 0); */                                 \
2082     /* ASSERT ((start) >= 0); */                                \
2083     /* ASSERT ((start) <= (size)); */                           \
2084     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */     \
2085     __GMP_CRAY_Pragma ("_CRI ivdep");                           \
2086     for (__gmp_j = (start); __gmp_j < (size); __gmp_j++)        \
2087       (dst)[__gmp_j] = (src)[__gmp_j];                          \
2088   } while (0)
2089 #endif
2090 
2091 /* Enhancement: Use some of the smarter code from gmp-impl.h.  Maybe use
2092    mpn_copyi if there's a native version, and if we don't mind demanding
2093    binary compatibility for it (on targets which use it).  */
2094 
2095 #if ! defined (__GMPN_COPY)
2096 #define __GMPN_COPY(dst, src, size)   __GMPN_COPY_REST (dst, src, size, 0)
2097 #endif
2098 
2099 
2100 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add)
2101 #if ! defined (__GMP_FORCE_mpn_add)
2102 __GMP_EXTERN_INLINE
2103 #endif
2104 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)2105 mpn_add (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2106 {
2107   mp_limb_t  __gmp_c;
2108   __GMPN_ADD (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2109   return __gmp_c;
2110 }
2111 #endif
2112 
2113 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add_1)
2114 #if ! defined (__GMP_FORCE_mpn_add_1)
2115 __GMP_EXTERN_INLINE
2116 #endif
2117 mp_limb_t
mpn_add_1(mp_ptr __gmp_dst,mp_srcptr __gmp_src,mp_size_t __gmp_size,mp_limb_t __gmp_n)2118 mpn_add_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2119 {
2120   mp_limb_t  __gmp_c;
2121   __GMPN_ADD_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2122   return __gmp_c;
2123 }
2124 #endif
2125 
2126 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_cmp)
2127 #if ! defined (__GMP_FORCE_mpn_cmp)
2128 __GMP_EXTERN_INLINE
2129 #endif
2130 int
mpn_cmp(mp_srcptr __gmp_xp,mp_srcptr __gmp_yp,mp_size_t __gmp_size)2131 mpn_cmp (mp_srcptr __gmp_xp, mp_srcptr __gmp_yp, mp_size_t __gmp_size) __GMP_NOTHROW
2132 {
2133   int __gmp_result;
2134   __GMPN_CMP (__gmp_result, __gmp_xp, __gmp_yp, __gmp_size);
2135   return __gmp_result;
2136 }
2137 #endif
2138 
2139 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub)
2140 #if ! defined (__GMP_FORCE_mpn_sub)
2141 __GMP_EXTERN_INLINE
2142 #endif
2143 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)2144 mpn_sub (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2145 {
2146   mp_limb_t  __gmp_c;
2147   __GMPN_SUB (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2148   return __gmp_c;
2149 }
2150 #endif
2151 
2152 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub_1)
2153 #if ! defined (__GMP_FORCE_mpn_sub_1)
2154 __GMP_EXTERN_INLINE
2155 #endif
2156 mp_limb_t
mpn_sub_1(mp_ptr __gmp_dst,mp_srcptr __gmp_src,mp_size_t __gmp_size,mp_limb_t __gmp_n)2157 mpn_sub_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2158 {
2159   mp_limb_t  __gmp_c;
2160   __GMPN_SUB_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2161   return __gmp_c;
2162 }
2163 #endif
2164 
2165 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_neg)
2166 #if ! defined (__GMP_FORCE_mpn_neg)
2167 __GMP_EXTERN_INLINE
2168 #endif
2169 mp_limb_t
mpn_neg(mp_ptr __gmp_rp,mp_srcptr __gmp_up,mp_size_t __gmp_n)2170 mpn_neg (mp_ptr __gmp_rp, mp_srcptr __gmp_up, mp_size_t __gmp_n)
2171 {
2172   mp_limb_t __gmp_ul, __gmp_cy;
2173   __gmp_cy = 0;
2174   do {
2175       __gmp_ul = *__gmp_up++;
2176       *__gmp_rp++ = -__gmp_ul - __gmp_cy;
2177       __gmp_cy |= __gmp_ul != 0;
2178   } while (--__gmp_n != 0);
2179   return __gmp_cy;
2180 }
2181 #endif
2182 
2183 #if defined (__cplusplus)
2184 }
2185 #endif
2186 
2187 
2188 /* Allow faster testing for negative, zero, and positive.  */
2189 #define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0)
2190 #define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0)
2191 #define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0)
2192 
2193 /* When using GCC, optimize certain common comparisons.  */
2194 #if defined (__GNUC__) && __GNUC__ >= 2
2195 #define mpz_cmp_ui(Z,UI) \
2196   (__builtin_constant_p (UI) && (UI) == 0				\
2197    ? mpz_sgn (Z) : _mpz_cmp_ui (Z,UI))
2198 #define mpz_cmp_si(Z,SI) \
2199   (__builtin_constant_p (SI) && (SI) == 0 ? mpz_sgn (Z)			\
2200    : __builtin_constant_p (SI) && (SI) > 0				\
2201     ? _mpz_cmp_ui (Z, __GMP_CAST (unsigned long int, SI))		\
2202    : _mpz_cmp_si (Z,SI))
2203 #define mpq_cmp_ui(Q,NUI,DUI) \
2204   (__builtin_constant_p (NUI) && (NUI) == 0				\
2205    ? mpq_sgn (Q) : _mpq_cmp_ui (Q,NUI,DUI))
2206 #define mpq_cmp_si(q,n,d)                       \
2207   (__builtin_constant_p ((n) >= 0) && (n) >= 0  \
2208    ? mpq_cmp_ui (q, __GMP_CAST (unsigned long, n), d) \
2209    : _mpq_cmp_si (q, n, d))
2210 #else
2211 #define mpz_cmp_ui(Z,UI) _mpz_cmp_ui (Z,UI)
2212 #define mpz_cmp_si(Z,UI) _mpz_cmp_si (Z,UI)
2213 #define mpq_cmp_ui(Q,NUI,DUI) _mpq_cmp_ui (Q,NUI,DUI)
2214 #define mpq_cmp_si(q,n,d)  _mpq_cmp_si(q,n,d)
2215 #endif
2216 
2217 
2218 /* Using "&" rather than "&&" means these can come out branch-free.  Every
2219    mpz_t has at least one limb allocated, so fetching the low limb is always
2220    allowed.  */
2221 #define mpz_odd_p(z)   (((z)->_mp_size != 0) & __GMP_CAST (int, (z)->_mp_d[0]))
2222 #define mpz_even_p(z)  (! mpz_odd_p (z))
2223 
2224 
2225 /**************** C++ routines ****************/
2226 
2227 #ifdef __cplusplus
2228 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpz_srcptr);
2229 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpq_srcptr);
2230 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpf_srcptr);
2231 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpz_ptr);
2232 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpq_ptr);
2233 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpf_ptr);
2234 #endif
2235 
2236 
2237 /* Source-level compatibility with GMP 2 and earlier. */
2238 #define mpn_divmod(qp,np,nsize,dp,dsize) \
2239   mpn_divrem (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dp, dsize)
2240 
2241 /* Source-level compatibility with GMP 1.  */
2242 #define mpz_mdiv	mpz_fdiv_q
2243 #define mpz_mdivmod	mpz_fdiv_qr
2244 #define mpz_mmod	mpz_fdiv_r
2245 #define mpz_mdiv_ui	mpz_fdiv_q_ui
2246 #define mpz_mdivmod_ui(q,r,n,d) \
2247   (((r) == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d))
2248 #define mpz_mmod_ui(r,n,d) \
2249   (((r) == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d))
2250 
2251 /* Useful synonyms, but not quite compatible with GMP 1.  */
2252 #define mpz_div		mpz_fdiv_q
2253 #define mpz_divmod	mpz_fdiv_qr
2254 #define mpz_div_ui	mpz_fdiv_q_ui
2255 #define mpz_divmod_ui	mpz_fdiv_qr_ui
2256 #define mpz_div_2exp	mpz_fdiv_q_2exp
2257 #define mpz_mod_2exp	mpz_fdiv_r_2exp
2258 
2259 enum
2260 {
2261   GMP_ERROR_NONE = 0,
2262   GMP_ERROR_UNSUPPORTED_ARGUMENT = 1,
2263   GMP_ERROR_DIVISION_BY_ZERO = 2,
2264   GMP_ERROR_SQRT_OF_NEGATIVE = 4,
2265   GMP_ERROR_INVALID_ARGUMENT = 8
2266 };
2267 
2268 /* Define CC and CFLAGS which were used to build this version of GMP */
2269 #define __GMP_CC "/mnt/storage/gbiv/android/internal-master/prebuilts/gcc/linux-x86/host/x86_64-linux-glibc2.17-4.8.most-recent-old/../x86_64-linux-glibc2.15-4.8/bin/x86_64-linux-gcc -std=gnu99"
2270 #define __GMP_CFLAGS "-O2 -pedantic -m64 -mtune=k8 -march=k8"
2271 
2272 /* Major version number is the value of __GNU_MP__ too, above and in mp.h. */
2273 #define __GNU_MP_VERSION 5
2274 #define __GNU_MP_VERSION_MINOR 0
2275 #define __GNU_MP_VERSION_PATCHLEVEL 5
2276 #define __GNU_MP_RELEASE (__GNU_MP_VERSION * 10000 + __GNU_MP_VERSION_MINOR * 100 + __GNU_MP_VERSION_PATCHLEVEL)
2277 
2278 #define __GMP_H__
2279 #endif /* __GMP_H__ */
2280