1 /* Definitions for GNU multiple precision functions.   -*- mode: c -*-
2 
3 Copyright 1991, 1993, 1994, 1995, 1996, 1997, 1999, 2000, 2001, 2002, 2003,
4 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, Inc.
5 
6 This file is part of the GNU MP Library.
7 
8 The GNU MP Library is free software; you can redistribute it and/or modify
9 it under the terms of the GNU Lesser General Public License as published by
10 the Free Software Foundation; either version 3 of the License, or (at your
11 option) any later version.
12 
13 The GNU MP Library is distributed in the hope that it will be useful, but
14 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
15 or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
16 License for more details.
17 
18 You should have received a copy of the GNU Lesser General Public License
19 along with the GNU MP Library.  If not, see http://www.gnu.org/licenses/.  */
20 
21 #ifndef __GMP_H__
22 
23 #if defined (__cplusplus)
24 #include <iosfwd>   /* for std::istream, std::ostream, std::string */
25 #include <cstdio>
26 #endif
27 
28 
29 /* Instantiated by configure. */
30 #if ! defined (__GMP_WITHIN_CONFIGURE)
31 #define __GMP_HAVE_HOST_CPU_FAMILY_power   0
32 #define __GMP_HAVE_HOST_CPU_FAMILY_powerpc 0
33 #define GMP_LIMB_BITS                      32
34 #define GMP_NAIL_BITS                      0
35 #endif
36 #define GMP_NUMB_BITS     (GMP_LIMB_BITS - GMP_NAIL_BITS)
37 #define GMP_NUMB_MASK     ((~ __GMP_CAST (mp_limb_t, 0)) >> GMP_NAIL_BITS)
38 #define GMP_NUMB_MAX      GMP_NUMB_MASK
39 #define GMP_NAIL_MASK     (~ GMP_NUMB_MASK)
40 
41 
42 /* The following (everything under ifndef __GNU_MP__) must be identical in
43    gmp.h and mp.h to allow both to be included in an application or during
44    the library build.  */
45 #ifndef __GNU_MP__
46 #define __GNU_MP__ 5
47 
48 #define __need_size_t  /* tell gcc stddef.h we only want size_t */
49 #if defined (__cplusplus)
50 #include <cstddef>     /* for size_t */
51 #else
52 #include <stddef.h>    /* for size_t */
53 #endif
54 #undef __need_size_t
55 
56 /* Instantiated by configure. */
57 #if ! defined (__GMP_WITHIN_CONFIGURE)
58 /* #undef _LONG_LONG_LIMB */
59 #define __GMP_LIBGMP_DLL  0
60 #endif
61 
62 
63 /* __STDC__ - some ANSI compilers define this only to 0, hence the use of
64        "defined" and not "__STDC__-0".  In particular Sun workshop C 5.0
65        sets __STDC__ to 0, but requires "##" for token pasting.
66 
67    _AIX - gnu ansidecl.h asserts that all known AIX compilers are ANSI but
68        don't always define __STDC__.
69 
70    __DECC - current versions of DEC C (5.9 for instance) for alpha are ANSI,
71        but don't define __STDC__ in their default mode.  Don't know if old
72        versions might have been K&R, but let's not worry about that unless
73        someone is still using one.
74 
75    _mips - gnu ansidecl.h says the RISC/OS MIPS compiler is ANSI in SVR4
76        mode, but doesn't define __STDC__.
77 
78    _MSC_VER - Microsoft C is ANSI, but __STDC__ is undefined unless the /Za
79        option is given (in which case it's 1).
80 
81    _WIN32 - tested for by gnu ansidecl.h, no doubt on the assumption that
82       all w32 compilers are ansi.
83 
84    Note: This same set of tests is used by gen-psqr.c and
85    demos/expr/expr-impl.h, so if anything needs adding, then be sure to
86    update those too.  */
87 
88 #if  defined (__STDC__)                                 \
89   || defined (__cplusplus)                              \
90   || defined (_AIX)                                     \
91   || defined (__DECC)                                   \
92   || (defined (__mips) && defined (_SYSTYPE_SVR4))      \
93   || defined (_MSC_VER)                                 \
94   || defined (_WIN32)
95 #define __GMP_HAVE_CONST        1
96 #define __GMP_HAVE_PROTOTYPES   1
97 #define __GMP_HAVE_TOKEN_PASTE  1
98 #else
99 #define __GMP_HAVE_CONST        0
100 #define __GMP_HAVE_PROTOTYPES   0
101 #define __GMP_HAVE_TOKEN_PASTE  0
102 #endif
103 
104 
105 #if __GMP_HAVE_CONST
106 #define __gmp_const   const
107 #define __gmp_signed  signed
108 #else
109 #define __gmp_const
110 #define __gmp_signed
111 #endif
112 
113 
114 /* __GMP_DECLSPEC supports Windows DLL versions of libgmp, and is empty in
115    all other circumstances.
116 
117    When compiling objects for libgmp, __GMP_DECLSPEC is an export directive,
118    or when compiling for an application it's an import directive.  The two
119    cases are differentiated by __GMP_WITHIN_GMP defined by the GMP Makefiles
120    (and not defined from an application).
121 
122    __GMP_DECLSPEC_XX is similarly used for libgmpxx.  __GMP_WITHIN_GMPXX
123    indicates when building libgmpxx, and in that case libgmpxx functions are
124    exports, but libgmp functions which might get called are imports.
125 
126    libmp.la uses __GMP_DECLSPEC, just as if it were libgmp.la.  libgmp and
127    libmp don't call each other, so there's no conflict or confusion.
128 
129    Libtool DLL_EXPORT define is not used.
130 
131    There's no attempt to support GMP built both static and DLL.  Doing so
132    would mean applications would have to tell us which of the two is going
133    to be used when linking, and that seems very tedious and error prone if
134    using GMP by hand, and equally tedious from a package since autoconf and
135    automake don't give much help.
136 
137    __GMP_DECLSPEC is required on all documented global functions and
138    variables, the various internals in gmp-impl.h etc can be left unadorned.
139    But internals used by the test programs or speed measuring programs
140    should have __GMP_DECLSPEC, and certainly constants or variables must
141    have it or the wrong address will be resolved.
142 
143    In gcc __declspec can go at either the start or end of a prototype.
144 
145    In Microsoft C __declspec must go at the start, or after the type like
146    void __declspec(...) *foo()".  There's no __dllexport or anything to
147    guard against someone foolish #defining dllexport.  _export used to be
148    available, but no longer.
149 
150    In Borland C _export still exists, but needs to go after the type, like
151    "void _export foo();".  Would have to change the __GMP_DECLSPEC syntax to
152    make use of that.  Probably more trouble than it's worth.  */
153 
154 #if defined (__GNUC__)
155 #define __GMP_DECLSPEC_EXPORT  __declspec(__dllexport__)
156 #define __GMP_DECLSPEC_IMPORT  __declspec(__dllimport__)
157 #endif
158 #if defined (_MSC_VER) || defined (__BORLANDC__)
159 #define __GMP_DECLSPEC_EXPORT  __declspec(dllexport)
160 #define __GMP_DECLSPEC_IMPORT  __declspec(dllimport)
161 #endif
162 #ifdef __WATCOMC__
163 #define __GMP_DECLSPEC_EXPORT  __export
164 #define __GMP_DECLSPEC_IMPORT  __import
165 #endif
166 #ifdef __IBMC__
167 #define __GMP_DECLSPEC_EXPORT  _Export
168 #define __GMP_DECLSPEC_IMPORT  _Import
169 #endif
170 
171 #if __GMP_LIBGMP_DLL
172 #if __GMP_WITHIN_GMP
173 /* compiling to go into a DLL libgmp */
174 #define __GMP_DECLSPEC  __GMP_DECLSPEC_EXPORT
175 #else
176 /* compiling to go into an application which will link to a DLL libgmp */
177 #define __GMP_DECLSPEC  __GMP_DECLSPEC_IMPORT
178 #endif
179 #else
180 /* all other cases */
181 #define __GMP_DECLSPEC
182 #endif
183 
184 
185 #ifdef __GMP_SHORT_LIMB
186 typedef unsigned int		mp_limb_t;
187 typedef int			mp_limb_signed_t;
188 #else
189 #ifdef _LONG_LONG_LIMB
190 typedef unsigned long long int	mp_limb_t;
191 typedef long long int		mp_limb_signed_t;
192 #else
193 typedef unsigned long int	mp_limb_t;
194 typedef long int		mp_limb_signed_t;
195 #endif
196 #endif
197 typedef unsigned long int	mp_bitcnt_t;
198 
199 /* For reference, note that the name __mpz_struct gets into C++ mangled
200    function names, which means although the "__" suggests an internal, we
201    must leave this name for binary compatibility.  */
202 typedef struct
203 {
204   int _mp_alloc;		/* Number of *limbs* allocated and pointed
205 				   to by the _mp_d field.  */
206   int _mp_size;			/* abs(_mp_size) is the number of limbs the
207 				   last field points to.  If _mp_size is
208 				   negative this is a negative number.  */
209   mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
210 } __mpz_struct;
211 
212 #endif /* __GNU_MP__ */
213 
214 
215 typedef __mpz_struct MP_INT;    /* gmp 1 source compatibility */
216 typedef __mpz_struct mpz_t[1];
217 
218 typedef mp_limb_t *		mp_ptr;
219 typedef __gmp_const mp_limb_t *	mp_srcptr;
220 #if defined (_CRAY) && ! defined (_CRAYMPP)
221 /* plain `int' is much faster (48 bits) */
222 #define __GMP_MP_SIZE_T_INT     1
223 typedef int			mp_size_t;
224 typedef int			mp_exp_t;
225 #else
226 #define __GMP_MP_SIZE_T_INT     0
227 typedef long int		mp_size_t;
228 typedef long int		mp_exp_t;
229 #endif
230 
231 typedef struct
232 {
233   __mpz_struct _mp_num;
234   __mpz_struct _mp_den;
235 } __mpq_struct;
236 
237 typedef __mpq_struct MP_RAT;    /* gmp 1 source compatibility */
238 typedef __mpq_struct mpq_t[1];
239 
240 typedef struct
241 {
242   int _mp_prec;			/* Max precision, in number of `mp_limb_t's.
243 				   Set by mpf_init and modified by
244 				   mpf_set_prec.  The area pointed to by the
245 				   _mp_d field contains `prec' + 1 limbs.  */
246   int _mp_size;			/* abs(_mp_size) is the number of limbs the
247 				   last field points to.  If _mp_size is
248 				   negative this is a negative number.  */
249   mp_exp_t _mp_exp;		/* Exponent, in the base of `mp_limb_t'.  */
250   mp_limb_t *_mp_d;		/* Pointer to the limbs.  */
251 } __mpf_struct;
252 
253 /* typedef __mpf_struct MP_FLOAT; */
254 typedef __mpf_struct mpf_t[1];
255 
256 /* Available random number generation algorithms.  */
257 typedef enum
258 {
259   GMP_RAND_ALG_DEFAULT = 0,
260   GMP_RAND_ALG_LC = GMP_RAND_ALG_DEFAULT /* Linear congruential.  */
261 } gmp_randalg_t;
262 
263 /* Random state struct.  */
264 typedef struct
265 {
266   mpz_t _mp_seed;	  /* _mp_d member points to state of the generator. */
267   gmp_randalg_t _mp_alg;  /* Currently unused. */
268   union {
269     void *_mp_lc;         /* Pointer to function pointers structure.  */
270   } _mp_algdata;
271 } __gmp_randstate_struct;
272 typedef __gmp_randstate_struct gmp_randstate_t[1];
273 
274 /* Types for function declarations in gmp files.  */
275 /* ??? Should not pollute user name space with these ??? */
276 typedef __gmp_const __mpz_struct *mpz_srcptr;
277 typedef __mpz_struct *mpz_ptr;
278 typedef __gmp_const __mpf_struct *mpf_srcptr;
279 typedef __mpf_struct *mpf_ptr;
280 typedef __gmp_const __mpq_struct *mpq_srcptr;
281 typedef __mpq_struct *mpq_ptr;
282 
283 
284 /* This is not wanted in mp.h, so put it outside the __GNU_MP__ common
285    section. */
286 #if __GMP_LIBGMP_DLL
287 #if __GMP_WITHIN_GMPXX
288 /* compiling to go into a DLL libgmpxx */
289 #define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_EXPORT
290 #else
291 /* compiling to go into a application which will link to a DLL libgmpxx */
292 #define __GMP_DECLSPEC_XX  __GMP_DECLSPEC_IMPORT
293 #endif
294 #else
295 /* all other cases */
296 #define __GMP_DECLSPEC_XX
297 #endif
298 
299 
300 #if __GMP_HAVE_PROTOTYPES
301 #define __GMP_PROTO(x) x
302 #else
303 #define __GMP_PROTO(x) ()
304 #endif
305 
306 #ifndef __MPN
307 #if __GMP_HAVE_TOKEN_PASTE
308 #define __MPN(x) __gmpn_##x
309 #else
310 #define __MPN(x) __gmpn_/**/x
311 #endif
312 #endif
313 
314 /* For reference, "defined(EOF)" cannot be used here.  In g++ 2.95.4,
315    <iostream> defines EOF but not FILE.  */
316 #if defined (FILE)                                              \
317   || defined (H_STDIO)                                          \
318   || defined (_H_STDIO)               /* AIX */                 \
319   || defined (_STDIO_H)               /* glibc, Sun, SCO */     \
320   || defined (_STDIO_H_)              /* BSD, OSF */            \
321   || defined (__STDIO_H)              /* Borland */             \
322   || defined (__STDIO_H__)            /* IRIX */                \
323   || defined (_STDIO_INCLUDED)        /* HPUX */                \
324   || defined (__dj_include_stdio_h_)  /* DJGPP */               \
325   || defined (_FILE_DEFINED)          /* Microsoft */           \
326   || defined (__STDIO__)              /* Apple MPW MrC */       \
327   || defined (_MSL_STDIO_H)           /* Metrowerks */          \
328   || defined (_STDIO_H_INCLUDED)      /* QNX4 */		\
329   || defined (_ISO_STDIO_ISO_H)       /* Sun C++ */
330 #define _GMP_H_HAVE_FILE 1
331 #endif
332 
333 /* In ISO C, if a prototype involving "struct obstack *" is given without
334    that structure defined, then the struct is scoped down to just the
335    prototype, causing a conflict if it's subsequently defined for real.  So
336    only give prototypes if we've got obstack.h.  */
337 #if defined (_OBSTACK_H)   /* glibc <obstack.h> */
338 #define _GMP_H_HAVE_OBSTACK 1
339 #endif
340 
341 /* The prototypes for gmp_vprintf etc are provided only if va_list is
342    available, via an application having included <stdarg.h> or <varargs.h>.
343    Usually va_list is a typedef so can't be tested directly, but C99
344    specifies that va_start is a macro (and it was normally a macro on past
345    systems too), so look for that.
346 
347    <stdio.h> will define some sort of va_list for vprintf and vfprintf, but
348    let's not bother trying to use that since it's not standard and since
349    application uses for gmp_vprintf etc will almost certainly require the
350    whole <stdarg.h> or <varargs.h> anyway.  */
351 
352 #ifdef va_start
353 #define _GMP_H_HAVE_VA_LIST 1
354 #endif
355 
356 /* Test for gcc >= maj.min, as per __GNUC_PREREQ in glibc */
357 #if defined (__GNUC__) && defined (__GNUC_MINOR__)
358 #define __GMP_GNUC_PREREQ(maj, min) \
359   ((__GNUC__ << 16) + __GNUC_MINOR__ >= ((maj) << 16) + (min))
360 #else
361 #define __GMP_GNUC_PREREQ(maj, min)  0
362 #endif
363 
364 /* "pure" is in gcc 2.96 and up, see "(gcc)Function Attributes".  Basically
365    it means a function does nothing but examine its arguments and memory
366    (global or via arguments) to generate a return value, but changes nothing
367    and has no side-effects.  __GMP_NO_ATTRIBUTE_CONST_PURE lets
368    tune/common.c etc turn this off when trying to write timing loops.  */
369 #if __GMP_GNUC_PREREQ (2,96) && ! defined (__GMP_NO_ATTRIBUTE_CONST_PURE)
370 #define __GMP_ATTRIBUTE_PURE   __attribute__ ((__pure__))
371 #else
372 #define __GMP_ATTRIBUTE_PURE
373 #endif
374 
375 
376 /* __GMP_CAST allows us to use static_cast in C++, so our macros are clean
377    to "g++ -Wold-style-cast".
378 
379    Casts in "extern inline" code within an extern "C" block don't induce
380    these warnings, so __GMP_CAST only needs to be used on documented
381    macros.  */
382 
383 #ifdef __cplusplus
384 #define __GMP_CAST(type, expr)  (static_cast<type> (expr))
385 #else
386 #define __GMP_CAST(type, expr)  ((type) (expr))
387 #endif
388 
389 
390 /* An empty "throw ()" means the function doesn't throw any C++ exceptions,
391    this can save some stack frame info in applications.
392 
393    Currently it's given only on functions which never divide-by-zero etc,
394    don't allocate memory, and are expected to never need to allocate memory.
395    This leaves open the possibility of a C++ throw from a future GMP
396    exceptions scheme.
397 
398    mpz_set_ui etc are omitted to leave open the lazy allocation scheme
399    described in doc/tasks.html.  mpz_get_d etc are omitted to leave open
400    exceptions for float overflows.
401 
402    Note that __GMP_NOTHROW must be given on any inlines the same as on their
403    prototypes (for g++ at least, where they're used together).  Note also
404    that g++ 3.0 demands that __GMP_NOTHROW is before other attributes like
405    __GMP_ATTRIBUTE_PURE.  */
406 
407 #if defined (__cplusplus)
408 #define __GMP_NOTHROW  throw ()
409 #else
410 #define __GMP_NOTHROW
411 #endif
412 
413 
414 /* PORTME: What other compilers have a useful "extern inline"?  "static
415    inline" would be an acceptable substitute if the compiler (or linker)
416    discards unused statics.  */
417 
418  /* gcc has __inline__ in all modes, including strict ansi.  Give a prototype
419     for an inline too, so as to correctly specify "dllimport" on windows, in
420     case the function is called rather than inlined.
421     GCC 4.3 and above with -std=c99 or -std=gnu99 implements ISO C99
422     inline semantics, unless -fgnu89-inline is used.  */
423 #ifdef __GNUC__
424 #if (defined __GNUC_STDC_INLINE__) || (__GNUC__ == 4 && __GNUC_MINOR__ == 2)
425 #define __GMP_EXTERN_INLINE extern __inline__ __attribute__ ((__gnu_inline__))
426 #else
427 #define __GMP_EXTERN_INLINE      extern __inline__
428 #endif
429 #define __GMP_INLINE_PROTOTYPES  1
430 #endif
431 
432 /* DEC C (eg. version 5.9) supports "static __inline foo()", even in -std1
433    strict ANSI mode.  Inlining is done even when not optimizing (ie. -O0
434    mode, which is the default), but an unnecessary local copy of foo is
435    emitted unless -O is used.  "extern __inline" is accepted, but the
436    "extern" appears to be ignored, ie. it becomes a plain global function
437    but which is inlined within its file.  Don't know if all old versions of
438    DEC C supported __inline, but as a start let's do the right thing for
439    current versions.  */
440 #ifdef __DECC
441 #define __GMP_EXTERN_INLINE  static __inline
442 #endif
443 
444 /* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict
445    ANSI mode (__STDC__ is 1 in that mode).  Inlining only actually takes
446    place under -O.  Without -O "foo" seems to be emitted whether it's used
447    or not, which is wasteful.  "extern inline foo()" isn't useful, the
448    "extern" is apparently ignored, so foo is inlined if possible but also
449    emitted as a global, which causes multiple definition errors when
450    building a shared libgmp.  */
451 #ifdef __SCO_VERSION__
452 #if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
453   && ! defined (__GMP_EXTERN_INLINE)
454 #define __GMP_EXTERN_INLINE  static inline
455 #endif
456 #endif
457 
458 /* Microsoft's C compiler accepts __inline */
459 #ifdef _MSC_VER
460 #define __GMP_EXTERN_INLINE  __inline
461 #endif
462 
463 /* Recent enough Sun C compilers want "inline" */
464 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x560 \
465   && ! defined (__GMP_EXTERN_INLINE)
466 #define __GMP_EXTERN_INLINE  inline
467 #endif
468 
469 /* Somewhat older Sun C compilers want "static inline" */
470 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x540 \
471   && ! defined (__GMP_EXTERN_INLINE)
472 #define __GMP_EXTERN_INLINE  static inline
473 #endif
474 
475 
476 /* C++ always has "inline" and since it's a normal feature the linker should
477    discard duplicate non-inlined copies, or if it doesn't then that's a
478    problem for everyone, not just GMP.  */
479 #if defined (__cplusplus) && ! defined (__GMP_EXTERN_INLINE)
480 #define __GMP_EXTERN_INLINE  inline
481 #endif
482 
483 /* Don't do any inlining within a configure run, since if the compiler ends
484    up emitting copies of the code into the object file it can end up
485    demanding the various support routines (like mpn_popcount) for linking,
486    making the "alloca" test and perhaps others fail.  And on hppa ia64 a
487    pre-release gcc 3.2 was seen not respecting the "extern" in "extern
488    __inline__", triggering this problem too.  */
489 #if defined (__GMP_WITHIN_CONFIGURE) && ! __GMP_WITHIN_CONFIGURE_INLINE
490 #undef __GMP_EXTERN_INLINE
491 #endif
492 
493 /* By default, don't give a prototype when there's going to be an inline
494    version.  Note in particular that Cray C++ objects to the combination of
495    prototype and inline.  */
496 #ifdef __GMP_EXTERN_INLINE
497 #ifndef __GMP_INLINE_PROTOTYPES
498 #define __GMP_INLINE_PROTOTYPES  0
499 #endif
500 #else
501 #define __GMP_INLINE_PROTOTYPES  1
502 #endif
503 
504 
505 #define __GMP_ABS(x)   ((x) >= 0 ? (x) : -(x))
506 #define __GMP_MAX(h,i) ((h) > (i) ? (h) : (i))
507 
508 /* __GMP_USHRT_MAX is not "~ (unsigned short) 0" because short is promoted
509    to int by "~".  */
510 #define __GMP_UINT_MAX   (~ (unsigned) 0)
511 #define __GMP_ULONG_MAX  (~ (unsigned long) 0)
512 #define __GMP_USHRT_MAX  ((unsigned short) ~0)
513 
514 
515 /* __builtin_expect is in gcc 3.0, and not in 2.95. */
516 #if __GMP_GNUC_PREREQ (3,0)
517 #define __GMP_LIKELY(cond)    __builtin_expect ((cond) != 0, 1)
518 #define __GMP_UNLIKELY(cond)  __builtin_expect ((cond) != 0, 0)
519 #else
520 #define __GMP_LIKELY(cond)    (cond)
521 #define __GMP_UNLIKELY(cond)  (cond)
522 #endif
523 
524 #ifdef _CRAY
525 #define __GMP_CRAY_Pragma(str)  _Pragma (str)
526 #else
527 #define __GMP_CRAY_Pragma(str)
528 #endif
529 
530 
531 /* Allow direct user access to numerator and denominator of a mpq_t object.  */
532 #define mpq_numref(Q) (&((Q)->_mp_num))
533 #define mpq_denref(Q) (&((Q)->_mp_den))
534 
535 
536 #if defined (__cplusplus)
537 extern "C" {
538 using std::FILE;
539 #endif
540 
541 #define mp_set_memory_functions __gmp_set_memory_functions
542 __GMP_DECLSPEC void mp_set_memory_functions __GMP_PROTO ((void *(*) (size_t),
543 				      void *(*) (void *, size_t, size_t),
544 				      void (*) (void *, size_t))) __GMP_NOTHROW;
545 
546 #define mp_get_memory_functions __gmp_get_memory_functions
547 __GMP_DECLSPEC void mp_get_memory_functions __GMP_PROTO ((void *(**) (size_t),
548                                       void *(**) (void *, size_t, size_t),
549                                       void (**) (void *, size_t))) __GMP_NOTHROW;
550 
551 #define mp_bits_per_limb __gmp_bits_per_limb
552 __GMP_DECLSPEC extern __gmp_const int mp_bits_per_limb;
553 
554 #define gmp_errno __gmp_errno
555 __GMP_DECLSPEC extern int gmp_errno;
556 
557 #define gmp_version __gmp_version
558 __GMP_DECLSPEC extern __gmp_const char * __gmp_const gmp_version;
559 
560 
561 /**************** Random number routines.  ****************/
562 
563 /* obsolete */
564 #define gmp_randinit __gmp_randinit
565 __GMP_DECLSPEC void gmp_randinit __GMP_PROTO ((gmp_randstate_t, gmp_randalg_t, ...));
566 
567 #define gmp_randinit_default __gmp_randinit_default
568 __GMP_DECLSPEC void gmp_randinit_default __GMP_PROTO ((gmp_randstate_t));
569 
570 #define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
571 __GMP_DECLSPEC void gmp_randinit_lc_2exp __GMP_PROTO ((gmp_randstate_t,
572 						       mpz_srcptr, unsigned long int,
573 						       mp_bitcnt_t));
574 
575 #define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size
576 __GMP_DECLSPEC int gmp_randinit_lc_2exp_size __GMP_PROTO ((gmp_randstate_t, mp_bitcnt_t));
577 
578 #define gmp_randinit_mt __gmp_randinit_mt
579 __GMP_DECLSPEC void gmp_randinit_mt __GMP_PROTO ((gmp_randstate_t));
580 
581 #define gmp_randinit_set __gmp_randinit_set
582 __GMP_DECLSPEC void gmp_randinit_set __GMP_PROTO ((gmp_randstate_t, __gmp_const __gmp_randstate_struct *));
583 
584 #define gmp_randseed __gmp_randseed
585 __GMP_DECLSPEC void gmp_randseed __GMP_PROTO ((gmp_randstate_t, mpz_srcptr));
586 
587 #define gmp_randseed_ui __gmp_randseed_ui
588 __GMP_DECLSPEC void gmp_randseed_ui __GMP_PROTO ((gmp_randstate_t, unsigned long int));
589 
590 #define gmp_randclear __gmp_randclear
591 __GMP_DECLSPEC void gmp_randclear __GMP_PROTO ((gmp_randstate_t));
592 
593 #define gmp_urandomb_ui __gmp_urandomb_ui
594 __GMP_DECLSPEC unsigned long gmp_urandomb_ui __GMP_PROTO ((gmp_randstate_t, unsigned long));
595 
596 #define gmp_urandomm_ui __gmp_urandomm_ui
597 __GMP_DECLSPEC unsigned long gmp_urandomm_ui __GMP_PROTO ((gmp_randstate_t, unsigned long));
598 
599 
600 /**************** Formatted output routines.  ****************/
601 
602 #define gmp_asprintf __gmp_asprintf
603 __GMP_DECLSPEC int gmp_asprintf __GMP_PROTO ((char **, __gmp_const char *, ...));
604 
605 #define gmp_fprintf __gmp_fprintf
606 #ifdef _GMP_H_HAVE_FILE
607 __GMP_DECLSPEC int gmp_fprintf __GMP_PROTO ((FILE *, __gmp_const char *, ...));
608 #endif
609 
610 #define gmp_obstack_printf __gmp_obstack_printf
611 #if defined (_GMP_H_HAVE_OBSTACK)
612 __GMP_DECLSPEC int gmp_obstack_printf __GMP_PROTO ((struct obstack *, __gmp_const char *, ...));
613 #endif
614 
615 #define gmp_obstack_vprintf __gmp_obstack_vprintf
616 #if defined (_GMP_H_HAVE_OBSTACK) && defined (_GMP_H_HAVE_VA_LIST)
617 __GMP_DECLSPEC int gmp_obstack_vprintf __GMP_PROTO ((struct obstack *, __gmp_const char *, va_list));
618 #endif
619 
620 #define gmp_printf __gmp_printf
621 __GMP_DECLSPEC int gmp_printf __GMP_PROTO ((__gmp_const char *, ...));
622 
623 #define gmp_snprintf __gmp_snprintf
624 __GMP_DECLSPEC int gmp_snprintf __GMP_PROTO ((char *, size_t, __gmp_const char *, ...));
625 
626 #define gmp_sprintf __gmp_sprintf
627 __GMP_DECLSPEC int gmp_sprintf __GMP_PROTO ((char *, __gmp_const char *, ...));
628 
629 #define gmp_vasprintf __gmp_vasprintf
630 #if defined (_GMP_H_HAVE_VA_LIST)
631 __GMP_DECLSPEC int gmp_vasprintf __GMP_PROTO ((char **, __gmp_const char *, va_list));
632 #endif
633 
634 #define gmp_vfprintf __gmp_vfprintf
635 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
636 __GMP_DECLSPEC int gmp_vfprintf __GMP_PROTO ((FILE *, __gmp_const char *, va_list));
637 #endif
638 
639 #define gmp_vprintf __gmp_vprintf
640 #if defined (_GMP_H_HAVE_VA_LIST)
641 __GMP_DECLSPEC int gmp_vprintf __GMP_PROTO ((__gmp_const char *, va_list));
642 #endif
643 
644 #define gmp_vsnprintf __gmp_vsnprintf
645 #if defined (_GMP_H_HAVE_VA_LIST)
646 __GMP_DECLSPEC int gmp_vsnprintf __GMP_PROTO ((char *, size_t, __gmp_const char *, va_list));
647 #endif
648 
649 #define gmp_vsprintf __gmp_vsprintf
650 #if defined (_GMP_H_HAVE_VA_LIST)
651 __GMP_DECLSPEC int gmp_vsprintf __GMP_PROTO ((char *, __gmp_const char *, va_list));
652 #endif
653 
654 
655 /**************** Formatted input routines.  ****************/
656 
657 #define gmp_fscanf __gmp_fscanf
658 #ifdef _GMP_H_HAVE_FILE
659 __GMP_DECLSPEC int gmp_fscanf __GMP_PROTO ((FILE *, __gmp_const char *, ...));
660 #endif
661 
662 #define gmp_scanf __gmp_scanf
663 __GMP_DECLSPEC int gmp_scanf __GMP_PROTO ((__gmp_const char *, ...));
664 
665 #define gmp_sscanf __gmp_sscanf
666 __GMP_DECLSPEC int gmp_sscanf __GMP_PROTO ((__gmp_const char *, __gmp_const char *, ...));
667 
668 #define gmp_vfscanf __gmp_vfscanf
669 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
670 __GMP_DECLSPEC int gmp_vfscanf __GMP_PROTO ((FILE *, __gmp_const char *, va_list));
671 #endif
672 
673 #define gmp_vscanf __gmp_vscanf
674 #if defined (_GMP_H_HAVE_VA_LIST)
675 __GMP_DECLSPEC int gmp_vscanf __GMP_PROTO ((__gmp_const char *, va_list));
676 #endif
677 
678 #define gmp_vsscanf __gmp_vsscanf
679 #if defined (_GMP_H_HAVE_VA_LIST)
680 __GMP_DECLSPEC int gmp_vsscanf __GMP_PROTO ((__gmp_const char *, __gmp_const char *, va_list));
681 #endif
682 
683 
684 /**************** Integer (i.e. Z) routines.  ****************/
685 
686 #define _mpz_realloc __gmpz_realloc
687 #define mpz_realloc __gmpz_realloc
688 __GMP_DECLSPEC void *_mpz_realloc __GMP_PROTO ((mpz_ptr, mp_size_t));
689 
690 #define mpz_abs __gmpz_abs
691 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs)
692 __GMP_DECLSPEC void mpz_abs __GMP_PROTO ((mpz_ptr, mpz_srcptr));
693 #endif
694 
695 #define mpz_add __gmpz_add
696 __GMP_DECLSPEC void mpz_add __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
697 
698 #define mpz_add_ui __gmpz_add_ui
699 __GMP_DECLSPEC void mpz_add_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
700 
701 #define mpz_addmul __gmpz_addmul
702 __GMP_DECLSPEC void mpz_addmul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
703 
704 #define mpz_addmul_ui __gmpz_addmul_ui
705 __GMP_DECLSPEC void mpz_addmul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
706 
707 #define mpz_and __gmpz_and
708 __GMP_DECLSPEC void mpz_and __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
709 
710 #define mpz_array_init __gmpz_array_init
711 __GMP_DECLSPEC void mpz_array_init __GMP_PROTO ((mpz_ptr, mp_size_t, mp_size_t));
712 
713 #define mpz_bin_ui __gmpz_bin_ui
714 __GMP_DECLSPEC void mpz_bin_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
715 
716 #define mpz_bin_uiui __gmpz_bin_uiui
717 __GMP_DECLSPEC void mpz_bin_uiui __GMP_PROTO ((mpz_ptr, unsigned long int, unsigned long int));
718 
719 #define mpz_cdiv_q __gmpz_cdiv_q
720 __GMP_DECLSPEC void mpz_cdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
721 
722 #define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
723 __GMP_DECLSPEC void mpz_cdiv_q_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long));
724 
725 #define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
726 __GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
727 
728 #define mpz_cdiv_qr __gmpz_cdiv_qr
729 __GMP_DECLSPEC void mpz_cdiv_qr __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
730 
731 #define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
732 __GMP_DECLSPEC unsigned long int mpz_cdiv_qr_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
733 
734 #define mpz_cdiv_r __gmpz_cdiv_r
735 __GMP_DECLSPEC void mpz_cdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
736 
737 #define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
738 __GMP_DECLSPEC void mpz_cdiv_r_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
739 
740 #define mpz_cdiv_r_ui __gmpz_cdiv_r_ui
741 __GMP_DECLSPEC unsigned long int mpz_cdiv_r_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
742 
743 #define mpz_cdiv_ui __gmpz_cdiv_ui
744 __GMP_DECLSPEC unsigned long int mpz_cdiv_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
745 
746 #define mpz_clear __gmpz_clear
747 __GMP_DECLSPEC void mpz_clear __GMP_PROTO ((mpz_ptr));
748 
749 #define mpz_clears __gmpz_clears
750 __GMP_DECLSPEC void mpz_clears __GMP_PROTO ((mpz_ptr, ...));
751 
752 #define mpz_clrbit __gmpz_clrbit
753 __GMP_DECLSPEC void mpz_clrbit __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
754 
755 #define mpz_cmp __gmpz_cmp
756 __GMP_DECLSPEC int mpz_cmp __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
757 
758 #define mpz_cmp_d __gmpz_cmp_d
759 __GMP_DECLSPEC int mpz_cmp_d __GMP_PROTO ((mpz_srcptr, double)) __GMP_ATTRIBUTE_PURE;
760 
761 #define _mpz_cmp_si __gmpz_cmp_si
762 __GMP_DECLSPEC int _mpz_cmp_si __GMP_PROTO ((mpz_srcptr, signed long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
763 
764 #define _mpz_cmp_ui __gmpz_cmp_ui
765 __GMP_DECLSPEC int _mpz_cmp_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
766 
767 #define mpz_cmpabs __gmpz_cmpabs
768 __GMP_DECLSPEC int mpz_cmpabs __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
769 
770 #define mpz_cmpabs_d __gmpz_cmpabs_d
771 __GMP_DECLSPEC int mpz_cmpabs_d __GMP_PROTO ((mpz_srcptr, double)) __GMP_ATTRIBUTE_PURE;
772 
773 #define mpz_cmpabs_ui __gmpz_cmpabs_ui
774 __GMP_DECLSPEC int mpz_cmpabs_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
775 
776 #define mpz_com __gmpz_com
777 __GMP_DECLSPEC void mpz_com __GMP_PROTO ((mpz_ptr, mpz_srcptr));
778 
779 #define mpz_combit __gmpz_combit
780 __GMP_DECLSPEC void mpz_combit __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
781 
782 #define mpz_congruent_p __gmpz_congruent_p
783 __GMP_DECLSPEC int mpz_congruent_p __GMP_PROTO ((mpz_srcptr, mpz_srcptr, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
784 
785 #define mpz_congruent_2exp_p __gmpz_congruent_2exp_p
786 __GMP_DECLSPEC int mpz_congruent_2exp_p __GMP_PROTO ((mpz_srcptr, mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
787 
788 #define mpz_congruent_ui_p __gmpz_congruent_ui_p
789 __GMP_DECLSPEC int mpz_congruent_ui_p __GMP_PROTO ((mpz_srcptr, unsigned long, unsigned long)) __GMP_ATTRIBUTE_PURE;
790 
791 #define mpz_divexact __gmpz_divexact
792 __GMP_DECLSPEC void mpz_divexact __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
793 
794 #define mpz_divexact_ui __gmpz_divexact_ui
795 __GMP_DECLSPEC void mpz_divexact_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long));
796 
797 #define mpz_divisible_p __gmpz_divisible_p
798 __GMP_DECLSPEC int mpz_divisible_p __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
799 
800 #define mpz_divisible_ui_p __gmpz_divisible_ui_p
801 __GMP_DECLSPEC int mpz_divisible_ui_p __GMP_PROTO ((mpz_srcptr, unsigned long)) __GMP_ATTRIBUTE_PURE;
802 
803 #define mpz_divisible_2exp_p __gmpz_divisible_2exp_p
804 __GMP_DECLSPEC int mpz_divisible_2exp_p __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
805 
806 #define mpz_dump __gmpz_dump
807 __GMP_DECLSPEC void mpz_dump __GMP_PROTO ((mpz_srcptr));
808 
809 #define mpz_export __gmpz_export
810 __GMP_DECLSPEC void *mpz_export __GMP_PROTO ((void *, size_t *, int, size_t, int, size_t, mpz_srcptr));
811 
812 #define mpz_fac_ui __gmpz_fac_ui
813 __GMP_DECLSPEC void mpz_fac_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
814 
815 #define mpz_fdiv_q __gmpz_fdiv_q
816 __GMP_DECLSPEC void mpz_fdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
817 
818 #define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
819 __GMP_DECLSPEC void mpz_fdiv_q_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
820 
821 #define mpz_fdiv_q_ui __gmpz_fdiv_q_ui
822 __GMP_DECLSPEC unsigned long int mpz_fdiv_q_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
823 
824 #define mpz_fdiv_qr __gmpz_fdiv_qr
825 __GMP_DECLSPEC void mpz_fdiv_qr __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
826 
827 #define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui
828 __GMP_DECLSPEC unsigned long int mpz_fdiv_qr_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
829 
830 #define mpz_fdiv_r __gmpz_fdiv_r
831 __GMP_DECLSPEC void mpz_fdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
832 
833 #define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
834 __GMP_DECLSPEC void mpz_fdiv_r_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
835 
836 #define mpz_fdiv_r_ui __gmpz_fdiv_r_ui
837 __GMP_DECLSPEC unsigned long int mpz_fdiv_r_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
838 
839 #define mpz_fdiv_ui __gmpz_fdiv_ui
840 __GMP_DECLSPEC unsigned long int mpz_fdiv_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
841 
842 #define mpz_fib_ui __gmpz_fib_ui
843 __GMP_DECLSPEC void mpz_fib_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
844 
845 #define mpz_fib2_ui __gmpz_fib2_ui
846 __GMP_DECLSPEC void mpz_fib2_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, unsigned long int));
847 
848 #define mpz_fits_sint_p __gmpz_fits_sint_p
849 __GMP_DECLSPEC int mpz_fits_sint_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
850 
851 #define mpz_fits_slong_p __gmpz_fits_slong_p
852 __GMP_DECLSPEC int mpz_fits_slong_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
853 
854 #define mpz_fits_sshort_p __gmpz_fits_sshort_p
855 __GMP_DECLSPEC int mpz_fits_sshort_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
856 
857 #define mpz_fits_uint_p __gmpz_fits_uint_p
858 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_uint_p)
859 __GMP_DECLSPEC int mpz_fits_uint_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
860 #endif
861 
862 #define mpz_fits_ulong_p __gmpz_fits_ulong_p
863 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ulong_p)
864 __GMP_DECLSPEC int mpz_fits_ulong_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
865 #endif
866 
867 #define mpz_fits_ushort_p __gmpz_fits_ushort_p
868 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ushort_p)
869 __GMP_DECLSPEC int mpz_fits_ushort_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
870 #endif
871 
872 #define mpz_gcd __gmpz_gcd
873 __GMP_DECLSPEC void mpz_gcd __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
874 
875 #define mpz_gcd_ui __gmpz_gcd_ui
876 __GMP_DECLSPEC unsigned long int mpz_gcd_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
877 
878 #define mpz_gcdext __gmpz_gcdext
879 __GMP_DECLSPEC void mpz_gcdext __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
880 
881 #define mpz_get_d __gmpz_get_d
882 __GMP_DECLSPEC double mpz_get_d __GMP_PROTO ((mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
883 
884 #define mpz_get_d_2exp __gmpz_get_d_2exp
885 __GMP_DECLSPEC double mpz_get_d_2exp __GMP_PROTO ((signed long int *, mpz_srcptr));
886 
887 #define mpz_get_si __gmpz_get_si
888 __GMP_DECLSPEC /* signed */ long int mpz_get_si __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
889 
890 #define mpz_get_str __gmpz_get_str
891 __GMP_DECLSPEC char *mpz_get_str __GMP_PROTO ((char *, int, mpz_srcptr));
892 
893 #define mpz_get_ui __gmpz_get_ui
894 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_get_ui)
895 __GMP_DECLSPEC unsigned long int mpz_get_ui __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
896 #endif
897 
898 #define mpz_getlimbn __gmpz_getlimbn
899 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_getlimbn)
900 __GMP_DECLSPEC mp_limb_t mpz_getlimbn __GMP_PROTO ((mpz_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
901 #endif
902 
903 #define mpz_hamdist __gmpz_hamdist
904 __GMP_DECLSPEC mp_bitcnt_t mpz_hamdist __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
905 
906 #define mpz_import __gmpz_import
907 __GMP_DECLSPEC void mpz_import __GMP_PROTO ((mpz_ptr, size_t, int, size_t, int, size_t, __gmp_const void *));
908 
909 #define mpz_init __gmpz_init
910 __GMP_DECLSPEC void mpz_init __GMP_PROTO ((mpz_ptr));
911 
912 #define mpz_init2 __gmpz_init2
913 __GMP_DECLSPEC void mpz_init2 __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
914 
915 #define mpz_inits __gmpz_inits
916 __GMP_DECLSPEC void mpz_inits __GMP_PROTO ((mpz_ptr, ...));
917 
918 #define mpz_init_set __gmpz_init_set
919 __GMP_DECLSPEC void mpz_init_set __GMP_PROTO ((mpz_ptr, mpz_srcptr));
920 
921 #define mpz_init_set_d __gmpz_init_set_d
922 __GMP_DECLSPEC void mpz_init_set_d __GMP_PROTO ((mpz_ptr, double));
923 
924 #define mpz_init_set_si __gmpz_init_set_si
925 __GMP_DECLSPEC void mpz_init_set_si __GMP_PROTO ((mpz_ptr, signed long int));
926 
927 #define mpz_init_set_str __gmpz_init_set_str
928 __GMP_DECLSPEC int mpz_init_set_str __GMP_PROTO ((mpz_ptr, __gmp_const char *, int));
929 
930 #define mpz_init_set_ui __gmpz_init_set_ui
931 __GMP_DECLSPEC void mpz_init_set_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
932 
933 #define mpz_inp_raw __gmpz_inp_raw
934 #ifdef _GMP_H_HAVE_FILE
935 __GMP_DECLSPEC size_t mpz_inp_raw __GMP_PROTO ((mpz_ptr, FILE *));
936 #endif
937 
938 #define mpz_inp_str __gmpz_inp_str
939 #ifdef _GMP_H_HAVE_FILE
940 __GMP_DECLSPEC size_t mpz_inp_str __GMP_PROTO ((mpz_ptr, FILE *, int));
941 #endif
942 
943 #define mpz_invert __gmpz_invert
944 __GMP_DECLSPEC int mpz_invert __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
945 
946 #define mpz_ior __gmpz_ior
947 __GMP_DECLSPEC void mpz_ior __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
948 
949 #define mpz_jacobi __gmpz_jacobi
950 __GMP_DECLSPEC int mpz_jacobi __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
951 
952 #define mpz_kronecker mpz_jacobi  /* alias */
953 
954 #define mpz_kronecker_si __gmpz_kronecker_si
955 __GMP_DECLSPEC int mpz_kronecker_si __GMP_PROTO ((mpz_srcptr, long)) __GMP_ATTRIBUTE_PURE;
956 
957 #define mpz_kronecker_ui __gmpz_kronecker_ui
958 __GMP_DECLSPEC int mpz_kronecker_ui __GMP_PROTO ((mpz_srcptr, unsigned long)) __GMP_ATTRIBUTE_PURE;
959 
960 #define mpz_si_kronecker __gmpz_si_kronecker
961 __GMP_DECLSPEC int mpz_si_kronecker __GMP_PROTO ((long, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
962 
963 #define mpz_ui_kronecker __gmpz_ui_kronecker
964 __GMP_DECLSPEC int mpz_ui_kronecker __GMP_PROTO ((unsigned long, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
965 
966 #define mpz_lcm __gmpz_lcm
967 __GMP_DECLSPEC void mpz_lcm __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
968 
969 #define mpz_lcm_ui __gmpz_lcm_ui
970 __GMP_DECLSPEC void mpz_lcm_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long));
971 
972 #define mpz_legendre mpz_jacobi  /* alias */
973 
974 #define mpz_lucnum_ui __gmpz_lucnum_ui
975 __GMP_DECLSPEC void mpz_lucnum_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
976 
977 #define mpz_lucnum2_ui __gmpz_lucnum2_ui
978 __GMP_DECLSPEC void mpz_lucnum2_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, unsigned long int));
979 
980 #define mpz_millerrabin __gmpz_millerrabin
981 __GMP_DECLSPEC int mpz_millerrabin __GMP_PROTO ((mpz_srcptr, int)) __GMP_ATTRIBUTE_PURE;
982 
983 #define mpz_mod __gmpz_mod
984 __GMP_DECLSPEC void mpz_mod __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
985 
986 #define mpz_mod_ui mpz_fdiv_r_ui /* same as fdiv_r because divisor unsigned */
987 
988 #define mpz_mul __gmpz_mul
989 __GMP_DECLSPEC void mpz_mul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
990 
991 #define mpz_mul_2exp __gmpz_mul_2exp
992 __GMP_DECLSPEC void mpz_mul_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
993 
994 #define mpz_mul_si __gmpz_mul_si
995 __GMP_DECLSPEC void mpz_mul_si __GMP_PROTO ((mpz_ptr, mpz_srcptr, long int));
996 
997 #define mpz_mul_ui __gmpz_mul_ui
998 __GMP_DECLSPEC void mpz_mul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
999 
1000 #define mpz_neg __gmpz_neg
1001 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_neg)
1002 __GMP_DECLSPEC void mpz_neg __GMP_PROTO ((mpz_ptr, mpz_srcptr));
1003 #endif
1004 
1005 #define mpz_nextprime __gmpz_nextprime
1006 __GMP_DECLSPEC void mpz_nextprime __GMP_PROTO ((mpz_ptr, mpz_srcptr));
1007 
1008 #define mpz_out_raw __gmpz_out_raw
1009 #ifdef _GMP_H_HAVE_FILE
1010 __GMP_DECLSPEC size_t mpz_out_raw __GMP_PROTO ((FILE *, mpz_srcptr));
1011 #endif
1012 
1013 #define mpz_out_str __gmpz_out_str
1014 #ifdef _GMP_H_HAVE_FILE
1015 __GMP_DECLSPEC size_t mpz_out_str __GMP_PROTO ((FILE *, int, mpz_srcptr));
1016 #endif
1017 
1018 #define mpz_perfect_power_p __gmpz_perfect_power_p
1019 __GMP_DECLSPEC int mpz_perfect_power_p __GMP_PROTO ((mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
1020 
1021 #define mpz_perfect_square_p __gmpz_perfect_square_p
1022 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_perfect_square_p)
1023 __GMP_DECLSPEC int mpz_perfect_square_p __GMP_PROTO ((mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
1024 #endif
1025 
1026 #define mpz_popcount __gmpz_popcount
1027 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_popcount)
1028 __GMP_DECLSPEC mp_bitcnt_t mpz_popcount __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1029 #endif
1030 
1031 #define mpz_pow_ui __gmpz_pow_ui
1032 __GMP_DECLSPEC void mpz_pow_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1033 
1034 #define mpz_powm __gmpz_powm
1035 __GMP_DECLSPEC void mpz_powm __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr));
1036 
1037 #define mpz_powm_sec __gmpz_powm_sec
1038 __GMP_DECLSPEC void mpz_powm_sec __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr));
1039 
1040 #define mpz_powm_ui __gmpz_powm_ui
1041 __GMP_DECLSPEC void mpz_powm_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr));
1042 
1043 #define mpz_probab_prime_p __gmpz_probab_prime_p
1044 __GMP_DECLSPEC int mpz_probab_prime_p __GMP_PROTO ((mpz_srcptr, int)) __GMP_ATTRIBUTE_PURE;
1045 
1046 #define mpz_random __gmpz_random
1047 __GMP_DECLSPEC void mpz_random __GMP_PROTO ((mpz_ptr, mp_size_t));
1048 
1049 #define mpz_random2 __gmpz_random2
1050 __GMP_DECLSPEC void mpz_random2 __GMP_PROTO ((mpz_ptr, mp_size_t));
1051 
1052 #define mpz_realloc2 __gmpz_realloc2
1053 __GMP_DECLSPEC void mpz_realloc2 __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
1054 
1055 #define mpz_remove __gmpz_remove
1056 __GMP_DECLSPEC unsigned long int mpz_remove __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1057 
1058 #define mpz_root __gmpz_root
1059 __GMP_DECLSPEC int mpz_root __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1060 
1061 #define mpz_rootrem __gmpz_rootrem
1062 __GMP_DECLSPEC void mpz_rootrem __GMP_PROTO ((mpz_ptr,mpz_ptr, mpz_srcptr, unsigned long int));
1063 
1064 #define mpz_rrandomb __gmpz_rrandomb
1065 __GMP_DECLSPEC void mpz_rrandomb __GMP_PROTO ((mpz_ptr, gmp_randstate_t, mp_bitcnt_t));
1066 
1067 #define mpz_scan0 __gmpz_scan0
1068 __GMP_DECLSPEC mp_bitcnt_t mpz_scan0 __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1069 
1070 #define mpz_scan1 __gmpz_scan1
1071 __GMP_DECLSPEC mp_bitcnt_t mpz_scan1 __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1072 
1073 #define mpz_set __gmpz_set
1074 __GMP_DECLSPEC void mpz_set __GMP_PROTO ((mpz_ptr, mpz_srcptr));
1075 
1076 #define mpz_set_d __gmpz_set_d
1077 __GMP_DECLSPEC void mpz_set_d __GMP_PROTO ((mpz_ptr, double));
1078 
1079 #define mpz_set_f __gmpz_set_f
1080 __GMP_DECLSPEC void mpz_set_f __GMP_PROTO ((mpz_ptr, mpf_srcptr));
1081 
1082 #define mpz_set_q __gmpz_set_q
1083 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_set_q)
1084 __GMP_DECLSPEC void mpz_set_q __GMP_PROTO ((mpz_ptr, mpq_srcptr));
1085 #endif
1086 
1087 #define mpz_set_si __gmpz_set_si
1088 __GMP_DECLSPEC void mpz_set_si __GMP_PROTO ((mpz_ptr, signed long int));
1089 
1090 #define mpz_set_str __gmpz_set_str
1091 __GMP_DECLSPEC int mpz_set_str __GMP_PROTO ((mpz_ptr, __gmp_const char *, int));
1092 
1093 #define mpz_set_ui __gmpz_set_ui
1094 __GMP_DECLSPEC void mpz_set_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
1095 
1096 #define mpz_setbit __gmpz_setbit
1097 __GMP_DECLSPEC void mpz_setbit __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
1098 
1099 #define mpz_size __gmpz_size
1100 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_size)
1101 __GMP_DECLSPEC size_t mpz_size __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1102 #endif
1103 
1104 #define mpz_sizeinbase __gmpz_sizeinbase
1105 __GMP_DECLSPEC size_t mpz_sizeinbase __GMP_PROTO ((mpz_srcptr, int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1106 
1107 #define mpz_sqrt __gmpz_sqrt
1108 __GMP_DECLSPEC void mpz_sqrt __GMP_PROTO ((mpz_ptr, mpz_srcptr));
1109 
1110 #define mpz_sqrtrem __gmpz_sqrtrem
1111 __GMP_DECLSPEC void mpz_sqrtrem __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr));
1112 
1113 #define mpz_sub __gmpz_sub
1114 __GMP_DECLSPEC void mpz_sub __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1115 
1116 #define mpz_sub_ui __gmpz_sub_ui
1117 __GMP_DECLSPEC void mpz_sub_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1118 
1119 #define mpz_ui_sub __gmpz_ui_sub
1120 __GMP_DECLSPEC void mpz_ui_sub __GMP_PROTO ((mpz_ptr, unsigned long int, mpz_srcptr));
1121 
1122 #define mpz_submul __gmpz_submul
1123 __GMP_DECLSPEC void mpz_submul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1124 
1125 #define mpz_submul_ui __gmpz_submul_ui
1126 __GMP_DECLSPEC void mpz_submul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1127 
1128 #define mpz_swap __gmpz_swap
1129 __GMP_DECLSPEC void mpz_swap __GMP_PROTO ((mpz_ptr, mpz_ptr)) __GMP_NOTHROW;
1130 
1131 #define mpz_tdiv_ui __gmpz_tdiv_ui
1132 __GMP_DECLSPEC unsigned long int mpz_tdiv_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
1133 
1134 #define mpz_tdiv_q __gmpz_tdiv_q
1135 __GMP_DECLSPEC void mpz_tdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1136 
1137 #define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp
1138 __GMP_DECLSPEC void mpz_tdiv_q_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
1139 
1140 #define mpz_tdiv_q_ui __gmpz_tdiv_q_ui
1141 __GMP_DECLSPEC unsigned long int mpz_tdiv_q_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1142 
1143 #define mpz_tdiv_qr __gmpz_tdiv_qr
1144 __GMP_DECLSPEC void mpz_tdiv_qr __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
1145 
1146 #define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui
1147 __GMP_DECLSPEC unsigned long int mpz_tdiv_qr_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
1148 
1149 #define mpz_tdiv_r __gmpz_tdiv_r
1150 __GMP_DECLSPEC void mpz_tdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1151 
1152 #define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp
1153 __GMP_DECLSPEC void mpz_tdiv_r_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
1154 
1155 #define mpz_tdiv_r_ui __gmpz_tdiv_r_ui
1156 __GMP_DECLSPEC unsigned long int mpz_tdiv_r_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1157 
1158 #define mpz_tstbit __gmpz_tstbit
1159 __GMP_DECLSPEC int mpz_tstbit __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1160 
1161 #define mpz_ui_pow_ui __gmpz_ui_pow_ui
1162 __GMP_DECLSPEC void mpz_ui_pow_ui __GMP_PROTO ((mpz_ptr, unsigned long int, unsigned long int));
1163 
1164 #define mpz_urandomb __gmpz_urandomb
1165 __GMP_DECLSPEC void mpz_urandomb __GMP_PROTO ((mpz_ptr, gmp_randstate_t, mp_bitcnt_t));
1166 
1167 #define mpz_urandomm __gmpz_urandomm
1168 __GMP_DECLSPEC void mpz_urandomm __GMP_PROTO ((mpz_ptr, gmp_randstate_t, mpz_srcptr));
1169 
1170 #define mpz_xor __gmpz_xor
1171 #define mpz_eor __gmpz_xor
1172 __GMP_DECLSPEC void mpz_xor __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1173 
1174 
1175 /**************** Rational (i.e. Q) routines.  ****************/
1176 
1177 #define mpq_abs __gmpq_abs
1178 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_abs)
1179 __GMP_DECLSPEC void mpq_abs __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1180 #endif
1181 
1182 #define mpq_add __gmpq_add
1183 __GMP_DECLSPEC void mpq_add __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1184 
1185 #define mpq_canonicalize __gmpq_canonicalize
1186 __GMP_DECLSPEC void mpq_canonicalize __GMP_PROTO ((mpq_ptr));
1187 
1188 #define mpq_clear __gmpq_clear
1189 __GMP_DECLSPEC void mpq_clear __GMP_PROTO ((mpq_ptr));
1190 
1191 #define mpq_clears __gmpq_clears
1192 __GMP_DECLSPEC void mpq_clears __GMP_PROTO ((mpq_ptr, ...));
1193 
1194 #define mpq_cmp __gmpq_cmp
1195 __GMP_DECLSPEC int mpq_cmp __GMP_PROTO ((mpq_srcptr, mpq_srcptr)) __GMP_ATTRIBUTE_PURE;
1196 
1197 #define _mpq_cmp_si __gmpq_cmp_si
1198 __GMP_DECLSPEC int _mpq_cmp_si __GMP_PROTO ((mpq_srcptr, long, unsigned long)) __GMP_ATTRIBUTE_PURE;
1199 
1200 #define _mpq_cmp_ui __gmpq_cmp_ui
1201 __GMP_DECLSPEC int _mpq_cmp_ui __GMP_PROTO ((mpq_srcptr, unsigned long int, unsigned long int)) __GMP_ATTRIBUTE_PURE;
1202 
1203 #define mpq_div __gmpq_div
1204 __GMP_DECLSPEC void mpq_div __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1205 
1206 #define mpq_div_2exp __gmpq_div_2exp
1207 __GMP_DECLSPEC void mpq_div_2exp __GMP_PROTO ((mpq_ptr, mpq_srcptr, mp_bitcnt_t));
1208 
1209 #define mpq_equal __gmpq_equal
1210 __GMP_DECLSPEC int mpq_equal __GMP_PROTO ((mpq_srcptr, mpq_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1211 
1212 #define mpq_get_num __gmpq_get_num
1213 __GMP_DECLSPEC void mpq_get_num __GMP_PROTO ((mpz_ptr, mpq_srcptr));
1214 
1215 #define mpq_get_den __gmpq_get_den
1216 __GMP_DECLSPEC void mpq_get_den __GMP_PROTO ((mpz_ptr, mpq_srcptr));
1217 
1218 #define mpq_get_d __gmpq_get_d
1219 __GMP_DECLSPEC double mpq_get_d __GMP_PROTO ((mpq_srcptr)) __GMP_ATTRIBUTE_PURE;
1220 
1221 #define mpq_get_str __gmpq_get_str
1222 __GMP_DECLSPEC char *mpq_get_str __GMP_PROTO ((char *, int, mpq_srcptr));
1223 
1224 #define mpq_init __gmpq_init
1225 __GMP_DECLSPEC void mpq_init __GMP_PROTO ((mpq_ptr));
1226 
1227 #define mpq_inits __gmpq_inits
1228 __GMP_DECLSPEC void mpq_inits __GMP_PROTO ((mpq_ptr, ...));
1229 
1230 #define mpq_inp_str __gmpq_inp_str
1231 #ifdef _GMP_H_HAVE_FILE
1232 __GMP_DECLSPEC size_t mpq_inp_str __GMP_PROTO ((mpq_ptr, FILE *, int));
1233 #endif
1234 
1235 #define mpq_inv __gmpq_inv
1236 __GMP_DECLSPEC void mpq_inv __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1237 
1238 #define mpq_mul __gmpq_mul
1239 __GMP_DECLSPEC void mpq_mul __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1240 
1241 #define mpq_mul_2exp __gmpq_mul_2exp
1242 __GMP_DECLSPEC void mpq_mul_2exp __GMP_PROTO ((mpq_ptr, mpq_srcptr, mp_bitcnt_t));
1243 
1244 #define mpq_neg __gmpq_neg
1245 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_neg)
1246 __GMP_DECLSPEC void mpq_neg __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1247 #endif
1248 
1249 #define mpq_out_str __gmpq_out_str
1250 #ifdef _GMP_H_HAVE_FILE
1251 __GMP_DECLSPEC size_t mpq_out_str __GMP_PROTO ((FILE *, int, mpq_srcptr));
1252 #endif
1253 
1254 #define mpq_set __gmpq_set
1255 __GMP_DECLSPEC void mpq_set __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1256 
1257 #define mpq_set_d __gmpq_set_d
1258 __GMP_DECLSPEC void mpq_set_d __GMP_PROTO ((mpq_ptr, double));
1259 
1260 #define mpq_set_den __gmpq_set_den
1261 __GMP_DECLSPEC void mpq_set_den __GMP_PROTO ((mpq_ptr, mpz_srcptr));
1262 
1263 #define mpq_set_f __gmpq_set_f
1264 __GMP_DECLSPEC void mpq_set_f __GMP_PROTO ((mpq_ptr, mpf_srcptr));
1265 
1266 #define mpq_set_num __gmpq_set_num
1267 __GMP_DECLSPEC void mpq_set_num __GMP_PROTO ((mpq_ptr, mpz_srcptr));
1268 
1269 #define mpq_set_si __gmpq_set_si
1270 __GMP_DECLSPEC void mpq_set_si __GMP_PROTO ((mpq_ptr, signed long int, unsigned long int));
1271 
1272 #define mpq_set_str __gmpq_set_str
1273 __GMP_DECLSPEC int mpq_set_str __GMP_PROTO ((mpq_ptr, __gmp_const char *, int));
1274 
1275 #define mpq_set_ui __gmpq_set_ui
1276 __GMP_DECLSPEC void mpq_set_ui __GMP_PROTO ((mpq_ptr, unsigned long int, unsigned long int));
1277 
1278 #define mpq_set_z __gmpq_set_z
1279 __GMP_DECLSPEC void mpq_set_z __GMP_PROTO ((mpq_ptr, mpz_srcptr));
1280 
1281 #define mpq_sub __gmpq_sub
1282 __GMP_DECLSPEC void mpq_sub __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1283 
1284 #define mpq_swap __gmpq_swap
1285 __GMP_DECLSPEC void mpq_swap __GMP_PROTO ((mpq_ptr, mpq_ptr)) __GMP_NOTHROW;
1286 
1287 
1288 /**************** Float (i.e. F) routines.  ****************/
1289 
1290 #define mpf_abs __gmpf_abs
1291 __GMP_DECLSPEC void mpf_abs __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1292 
1293 #define mpf_add __gmpf_add
1294 __GMP_DECLSPEC void mpf_add __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1295 
1296 #define mpf_add_ui __gmpf_add_ui
1297 __GMP_DECLSPEC void mpf_add_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1298 #define mpf_ceil __gmpf_ceil
1299 __GMP_DECLSPEC void mpf_ceil __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1300 
1301 #define mpf_clear __gmpf_clear
1302 __GMP_DECLSPEC void mpf_clear __GMP_PROTO ((mpf_ptr));
1303 
1304 #define mpf_clears __gmpf_clears
1305 __GMP_DECLSPEC void mpf_clears __GMP_PROTO ((mpf_ptr, ...));
1306 
1307 #define mpf_cmp __gmpf_cmp
1308 __GMP_DECLSPEC int mpf_cmp __GMP_PROTO ((mpf_srcptr, mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1309 
1310 #define mpf_cmp_d __gmpf_cmp_d
1311 __GMP_DECLSPEC int mpf_cmp_d __GMP_PROTO ((mpf_srcptr, double)) __GMP_ATTRIBUTE_PURE;
1312 
1313 #define mpf_cmp_si __gmpf_cmp_si
1314 __GMP_DECLSPEC int mpf_cmp_si __GMP_PROTO ((mpf_srcptr, signed long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1315 
1316 #define mpf_cmp_ui __gmpf_cmp_ui
1317 __GMP_DECLSPEC int mpf_cmp_ui __GMP_PROTO ((mpf_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1318 
1319 #define mpf_div __gmpf_div
1320 __GMP_DECLSPEC void mpf_div __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1321 
1322 #define mpf_div_2exp __gmpf_div_2exp
1323 __GMP_DECLSPEC void mpf_div_2exp __GMP_PROTO ((mpf_ptr, mpf_srcptr, mp_bitcnt_t));
1324 
1325 #define mpf_div_ui __gmpf_div_ui
1326 __GMP_DECLSPEC void mpf_div_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1327 
1328 #define mpf_dump __gmpf_dump
1329 __GMP_DECLSPEC void mpf_dump __GMP_PROTO ((mpf_srcptr));
1330 
1331 #define mpf_eq __gmpf_eq
1332 __GMP_DECLSPEC int mpf_eq __GMP_PROTO ((mpf_srcptr, mpf_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
1333 
1334 #define mpf_fits_sint_p __gmpf_fits_sint_p
1335 __GMP_DECLSPEC int mpf_fits_sint_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1336 
1337 #define mpf_fits_slong_p __gmpf_fits_slong_p
1338 __GMP_DECLSPEC int mpf_fits_slong_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1339 
1340 #define mpf_fits_sshort_p __gmpf_fits_sshort_p
1341 __GMP_DECLSPEC int mpf_fits_sshort_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1342 
1343 #define mpf_fits_uint_p __gmpf_fits_uint_p
1344 __GMP_DECLSPEC int mpf_fits_uint_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1345 
1346 #define mpf_fits_ulong_p __gmpf_fits_ulong_p
1347 __GMP_DECLSPEC int mpf_fits_ulong_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1348 
1349 #define mpf_fits_ushort_p __gmpf_fits_ushort_p
1350 __GMP_DECLSPEC int mpf_fits_ushort_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1351 
1352 #define mpf_floor __gmpf_floor
1353 __GMP_DECLSPEC void mpf_floor __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1354 
1355 #define mpf_get_d __gmpf_get_d
1356 __GMP_DECLSPEC double mpf_get_d __GMP_PROTO ((mpf_srcptr)) __GMP_ATTRIBUTE_PURE;
1357 
1358 #define mpf_get_d_2exp __gmpf_get_d_2exp
1359 __GMP_DECLSPEC double mpf_get_d_2exp __GMP_PROTO ((signed long int *, mpf_srcptr));
1360 
1361 #define mpf_get_default_prec __gmpf_get_default_prec
1362 __GMP_DECLSPEC mp_bitcnt_t mpf_get_default_prec __GMP_PROTO ((void)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1363 
1364 #define mpf_get_prec __gmpf_get_prec
1365 __GMP_DECLSPEC mp_bitcnt_t mpf_get_prec __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1366 
1367 #define mpf_get_si __gmpf_get_si
1368 __GMP_DECLSPEC long mpf_get_si __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1369 
1370 #define mpf_get_str __gmpf_get_str
1371 __GMP_DECLSPEC char *mpf_get_str __GMP_PROTO ((char *, mp_exp_t *, int, size_t, mpf_srcptr));
1372 
1373 #define mpf_get_ui __gmpf_get_ui
1374 __GMP_DECLSPEC unsigned long mpf_get_ui __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1375 
1376 #define mpf_init __gmpf_init
1377 __GMP_DECLSPEC void mpf_init __GMP_PROTO ((mpf_ptr));
1378 
1379 #define mpf_init2 __gmpf_init2
1380 __GMP_DECLSPEC void mpf_init2 __GMP_PROTO ((mpf_ptr, mp_bitcnt_t));
1381 
1382 #define mpf_inits __gmpf_inits
1383 __GMP_DECLSPEC void mpf_inits __GMP_PROTO ((mpf_ptr, ...));
1384 
1385 #define mpf_init_set __gmpf_init_set
1386 __GMP_DECLSPEC void mpf_init_set __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1387 
1388 #define mpf_init_set_d __gmpf_init_set_d
1389 __GMP_DECLSPEC void mpf_init_set_d __GMP_PROTO ((mpf_ptr, double));
1390 
1391 #define mpf_init_set_si __gmpf_init_set_si
1392 __GMP_DECLSPEC void mpf_init_set_si __GMP_PROTO ((mpf_ptr, signed long int));
1393 
1394 #define mpf_init_set_str __gmpf_init_set_str
1395 __GMP_DECLSPEC int mpf_init_set_str __GMP_PROTO ((mpf_ptr, __gmp_const char *, int));
1396 
1397 #define mpf_init_set_ui __gmpf_init_set_ui
1398 __GMP_DECLSPEC void mpf_init_set_ui __GMP_PROTO ((mpf_ptr, unsigned long int));
1399 
1400 #define mpf_inp_str __gmpf_inp_str
1401 #ifdef _GMP_H_HAVE_FILE
1402 __GMP_DECLSPEC size_t mpf_inp_str __GMP_PROTO ((mpf_ptr, FILE *, int));
1403 #endif
1404 
1405 #define mpf_integer_p __gmpf_integer_p
1406 __GMP_DECLSPEC int mpf_integer_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1407 
1408 #define mpf_mul __gmpf_mul
1409 __GMP_DECLSPEC void mpf_mul __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1410 
1411 #define mpf_mul_2exp __gmpf_mul_2exp
1412 __GMP_DECLSPEC void mpf_mul_2exp __GMP_PROTO ((mpf_ptr, mpf_srcptr, mp_bitcnt_t));
1413 
1414 #define mpf_mul_ui __gmpf_mul_ui
1415 __GMP_DECLSPEC void mpf_mul_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1416 
1417 #define mpf_neg __gmpf_neg
1418 __GMP_DECLSPEC void mpf_neg __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1419 
1420 #define mpf_out_str __gmpf_out_str
1421 #ifdef _GMP_H_HAVE_FILE
1422 __GMP_DECLSPEC size_t mpf_out_str __GMP_PROTO ((FILE *, int, size_t, mpf_srcptr));
1423 #endif
1424 
1425 #define mpf_pow_ui __gmpf_pow_ui
1426 __GMP_DECLSPEC void mpf_pow_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1427 
1428 #define mpf_random2 __gmpf_random2
1429 __GMP_DECLSPEC void mpf_random2 __GMP_PROTO ((mpf_ptr, mp_size_t, mp_exp_t));
1430 
1431 #define mpf_reldiff __gmpf_reldiff
1432 __GMP_DECLSPEC void mpf_reldiff __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1433 
1434 #define mpf_set __gmpf_set
1435 __GMP_DECLSPEC void mpf_set __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1436 
1437 #define mpf_set_d __gmpf_set_d
1438 __GMP_DECLSPEC void mpf_set_d __GMP_PROTO ((mpf_ptr, double));
1439 
1440 #define mpf_set_default_prec __gmpf_set_default_prec
1441 __GMP_DECLSPEC void mpf_set_default_prec __GMP_PROTO ((mp_bitcnt_t)) __GMP_NOTHROW;
1442 
1443 #define mpf_set_prec __gmpf_set_prec
1444 __GMP_DECLSPEC void mpf_set_prec __GMP_PROTO ((mpf_ptr, mp_bitcnt_t));
1445 
1446 #define mpf_set_prec_raw __gmpf_set_prec_raw
1447 __GMP_DECLSPEC void mpf_set_prec_raw __GMP_PROTO ((mpf_ptr, mp_bitcnt_t)) __GMP_NOTHROW;
1448 
1449 #define mpf_set_q __gmpf_set_q
1450 __GMP_DECLSPEC void mpf_set_q __GMP_PROTO ((mpf_ptr, mpq_srcptr));
1451 
1452 #define mpf_set_si __gmpf_set_si
1453 __GMP_DECLSPEC void mpf_set_si __GMP_PROTO ((mpf_ptr, signed long int));
1454 
1455 #define mpf_set_str __gmpf_set_str
1456 __GMP_DECLSPEC int mpf_set_str __GMP_PROTO ((mpf_ptr, __gmp_const char *, int));
1457 
1458 #define mpf_set_ui __gmpf_set_ui
1459 __GMP_DECLSPEC void mpf_set_ui __GMP_PROTO ((mpf_ptr, unsigned long int));
1460 
1461 #define mpf_set_z __gmpf_set_z
1462 __GMP_DECLSPEC void mpf_set_z __GMP_PROTO ((mpf_ptr, mpz_srcptr));
1463 
1464 #define mpf_size __gmpf_size
1465 __GMP_DECLSPEC size_t mpf_size __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1466 
1467 #define mpf_sqrt __gmpf_sqrt
1468 __GMP_DECLSPEC void mpf_sqrt __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1469 
1470 #define mpf_sqrt_ui __gmpf_sqrt_ui
1471 __GMP_DECLSPEC void mpf_sqrt_ui __GMP_PROTO ((mpf_ptr, unsigned long int));
1472 
1473 #define mpf_sub __gmpf_sub
1474 __GMP_DECLSPEC void mpf_sub __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1475 
1476 #define mpf_sub_ui __gmpf_sub_ui
1477 __GMP_DECLSPEC void mpf_sub_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1478 
1479 #define mpf_swap __gmpf_swap
1480 __GMP_DECLSPEC void mpf_swap __GMP_PROTO ((mpf_ptr, mpf_ptr)) __GMP_NOTHROW;
1481 
1482 #define mpf_trunc __gmpf_trunc
1483 __GMP_DECLSPEC void mpf_trunc __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1484 
1485 #define mpf_ui_div __gmpf_ui_div
1486 __GMP_DECLSPEC void mpf_ui_div __GMP_PROTO ((mpf_ptr, unsigned long int, mpf_srcptr));
1487 
1488 #define mpf_ui_sub __gmpf_ui_sub
1489 __GMP_DECLSPEC void mpf_ui_sub __GMP_PROTO ((mpf_ptr, unsigned long int, mpf_srcptr));
1490 
1491 #define mpf_urandomb __gmpf_urandomb
1492 __GMP_DECLSPEC void mpf_urandomb __GMP_PROTO ((mpf_t, gmp_randstate_t, mp_bitcnt_t));
1493 
1494 
1495 /************ Low level positive-integer (i.e. N) routines.  ************/
1496 
1497 /* This is ugly, but we need to make user calls reach the prefixed function. */
1498 
1499 #define mpn_add __MPN(add)
1500 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add)
1501 __GMP_DECLSPEC mp_limb_t mpn_add __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr,mp_size_t));
1502 #endif
1503 
1504 #define mpn_add_1 __MPN(add_1)
1505 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add_1)
1506 __GMP_DECLSPEC mp_limb_t mpn_add_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)) __GMP_NOTHROW;
1507 #endif
1508 
1509 #define mpn_add_n __MPN(add_n)
1510 __GMP_DECLSPEC mp_limb_t mpn_add_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1511 
1512 #define mpn_addmul_1 __MPN(addmul_1)
1513 __GMP_DECLSPEC mp_limb_t mpn_addmul_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1514 
1515 #define mpn_cmp __MPN(cmp)
1516 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_cmp)
1517 __GMP_DECLSPEC int mpn_cmp __GMP_PROTO ((mp_srcptr, mp_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1518 #endif
1519 
1520 #define mpn_divexact_by3(dst,src,size) \
1521   mpn_divexact_by3c (dst, src, size, __GMP_CAST (mp_limb_t, 0))
1522 
1523 #define mpn_divexact_by3c __MPN(divexact_by3c)
1524 __GMP_DECLSPEC mp_limb_t mpn_divexact_by3c __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1525 
1526 #define mpn_divmod_1(qp,np,nsize,dlimb) \
1527   mpn_divrem_1 (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dlimb)
1528 
1529 #define mpn_divrem __MPN(divrem)
1530 __GMP_DECLSPEC mp_limb_t mpn_divrem __GMP_PROTO ((mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t));
1531 
1532 #define mpn_divrem_1 __MPN(divrem_1)
1533 __GMP_DECLSPEC mp_limb_t mpn_divrem_1 __GMP_PROTO ((mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t));
1534 
1535 #define mpn_divrem_2 __MPN(divrem_2)
1536 __GMP_DECLSPEC mp_limb_t mpn_divrem_2 __GMP_PROTO ((mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr));
1537 
1538 #define mpn_gcd __MPN(gcd)
1539 __GMP_DECLSPEC mp_size_t mpn_gcd __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t));
1540 
1541 #define mpn_gcd_1 __MPN(gcd_1)
1542 __GMP_DECLSPEC mp_limb_t mpn_gcd_1 __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t)) __GMP_ATTRIBUTE_PURE;
1543 
1544 #define mpn_gcdext_1 __MPN(gcdext_1)
1545 __GMP_DECLSPEC mp_limb_t mpn_gcdext_1 __GMP_PROTO ((mp_limb_signed_t *, mp_limb_signed_t *, mp_limb_t, mp_limb_t));
1546 
1547 #define mpn_gcdext __MPN(gcdext)
1548 __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));
1549 
1550 #define mpn_get_str __MPN(get_str)
1551 __GMP_DECLSPEC size_t mpn_get_str __GMP_PROTO ((unsigned char *, int, mp_ptr, mp_size_t));
1552 
1553 #define mpn_hamdist __MPN(hamdist)
1554 __GMP_DECLSPEC mp_bitcnt_t mpn_hamdist __GMP_PROTO ((mp_srcptr, mp_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1555 
1556 #define mpn_lshift __MPN(lshift)
1557 __GMP_DECLSPEC mp_limb_t mpn_lshift __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int));
1558 
1559 #define mpn_mod_1 __MPN(mod_1)
1560 __GMP_DECLSPEC mp_limb_t mpn_mod_1 __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t)) __GMP_ATTRIBUTE_PURE;
1561 
1562 #define mpn_mul __MPN(mul)
1563 __GMP_DECLSPEC mp_limb_t mpn_mul __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t));
1564 
1565 #define mpn_mul_1 __MPN(mul_1)
1566 __GMP_DECLSPEC mp_limb_t mpn_mul_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1567 
1568 #define mpn_mul_n __MPN(mul_n)
1569 __GMP_DECLSPEC void mpn_mul_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1570 
1571 #define mpn_sqr __MPN(sqr)
1572 __GMP_DECLSPEC void mpn_sqr __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1573 
1574 #define mpn_neg __MPN(neg)
1575 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_neg)
1576 __GMP_DECLSPEC mp_limb_t mpn_neg __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1577 #endif
1578 
1579 #define mpn_com __MPN(com)
1580 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_com)
1581 __GMP_DECLSPEC void mpn_com __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1582 #endif
1583 
1584 #define mpn_perfect_square_p __MPN(perfect_square_p)
1585 __GMP_DECLSPEC int mpn_perfect_square_p __GMP_PROTO ((mp_srcptr, mp_size_t)) __GMP_ATTRIBUTE_PURE;
1586 
1587 #define mpn_perfect_power_p __MPN(perfect_power_p)
1588 __GMP_DECLSPEC int mpn_perfect_power_p __GMP_PROTO ((mp_srcptr, mp_size_t)) __GMP_ATTRIBUTE_PURE;
1589 
1590 #define mpn_popcount __MPN(popcount)
1591 __GMP_DECLSPEC mp_bitcnt_t mpn_popcount __GMP_PROTO ((mp_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1592 
1593 #define mpn_pow_1 __MPN(pow_1)
1594 __GMP_DECLSPEC mp_size_t mpn_pow_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr));
1595 
1596 /* undocumented now, but retained here for upward compatibility */
1597 #define mpn_preinv_mod_1 __MPN(preinv_mod_1)
1598 __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;
1599 
1600 #define mpn_random __MPN(random)
1601 __GMP_DECLSPEC void mpn_random __GMP_PROTO ((mp_ptr, mp_size_t));
1602 
1603 #define mpn_random2 __MPN(random2)
1604 __GMP_DECLSPEC void mpn_random2 __GMP_PROTO ((mp_ptr, mp_size_t));
1605 
1606 #define mpn_rshift __MPN(rshift)
1607 __GMP_DECLSPEC mp_limb_t mpn_rshift __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int));
1608 
1609 #define mpn_scan0 __MPN(scan0)
1610 __GMP_DECLSPEC mp_bitcnt_t mpn_scan0 __GMP_PROTO ((mp_srcptr, mp_bitcnt_t)) __GMP_ATTRIBUTE_PURE;
1611 
1612 #define mpn_scan1 __MPN(scan1)
1613 __GMP_DECLSPEC mp_bitcnt_t mpn_scan1 __GMP_PROTO ((mp_srcptr, mp_bitcnt_t)) __GMP_ATTRIBUTE_PURE;
1614 
1615 #define mpn_set_str __MPN(set_str)
1616 __GMP_DECLSPEC mp_size_t mpn_set_str __GMP_PROTO ((mp_ptr, __gmp_const unsigned char *, size_t, int));
1617 
1618 #define mpn_sqrtrem __MPN(sqrtrem)
1619 __GMP_DECLSPEC mp_size_t mpn_sqrtrem __GMP_PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_size_t));
1620 
1621 #define mpn_sub __MPN(sub)
1622 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub)
1623 __GMP_DECLSPEC mp_limb_t mpn_sub __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr,mp_size_t));
1624 #endif
1625 
1626 #define mpn_sub_1 __MPN(sub_1)
1627 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub_1)
1628 __GMP_DECLSPEC mp_limb_t mpn_sub_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)) __GMP_NOTHROW;
1629 #endif
1630 
1631 #define mpn_sub_n __MPN(sub_n)
1632 __GMP_DECLSPEC mp_limb_t mpn_sub_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1633 
1634 #define mpn_submul_1 __MPN(submul_1)
1635 __GMP_DECLSPEC mp_limb_t mpn_submul_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1636 
1637 #define mpn_tdiv_qr __MPN(tdiv_qr)
1638 __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));
1639 
1640 #define mpn_and_n __MPN(and_n)
1641 __GMP_DECLSPEC void mpn_and_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1642 #define mpn_andn_n __MPN(andn_n)
1643 __GMP_DECLSPEC void mpn_andn_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1644 #define mpn_nand_n __MPN(nand_n)
1645 __GMP_DECLSPEC void mpn_nand_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1646 #define mpn_ior_n __MPN(ior_n)
1647 __GMP_DECLSPEC void mpn_ior_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1648 #define mpn_iorn_n __MPN(iorn_n)
1649 __GMP_DECLSPEC void mpn_iorn_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1650 #define mpn_nior_n __MPN(nior_n)
1651 __GMP_DECLSPEC void mpn_nior_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1652 #define mpn_xor_n __MPN(xor_n)
1653 __GMP_DECLSPEC void mpn_xor_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1654 #define mpn_xnor_n __MPN(xnor_n)
1655 __GMP_DECLSPEC void mpn_xnor_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1656 
1657 #define mpn_copyi __MPN(copyi)
1658 __GMP_DECLSPEC void mpn_copyi __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1659 #define mpn_copyd __MPN(copyd)
1660 __GMP_DECLSPEC void mpn_copyd __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1661 #define mpn_zero __MPN(zero)
1662 __GMP_DECLSPEC void mpn_zero __GMP_PROTO ((mp_ptr, mp_size_t));
1663 
1664 /**************** mpz inlines ****************/
1665 
1666 /* The following are provided as inlines where possible, but always exist as
1667    library functions too, for binary compatibility.
1668 
1669    Within gmp itself this inlining generally isn't relied on, since it
1670    doesn't get done for all compilers, whereas if something is worth
1671    inlining then it's worth arranging always.
1672 
1673    There are two styles of inlining here.  When the same bit of code is
1674    wanted for the inline as for the library version, then __GMP_FORCE_foo
1675    arranges for that code to be emitted and the __GMP_EXTERN_INLINE
1676    directive suppressed, eg. mpz_fits_uint_p.  When a different bit of code
1677    is wanted for the inline than for the library version, then
1678    __GMP_FORCE_foo arranges the inline to be suppressed, eg. mpz_abs.  */
1679 
1680 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_abs)
1681 __GMP_EXTERN_INLINE void
mpz_abs(mpz_ptr __gmp_w,mpz_srcptr __gmp_u)1682 mpz_abs (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1683 {
1684   if (__gmp_w != __gmp_u)
1685     mpz_set (__gmp_w, __gmp_u);
1686   __gmp_w->_mp_size = __GMP_ABS (__gmp_w->_mp_size);
1687 }
1688 #endif
1689 
1690 #if GMP_NAIL_BITS == 0
1691 #define __GMPZ_FITS_UTYPE_P(z,maxval)					\
1692   mp_size_t  __gmp_n = z->_mp_size;					\
1693   mp_ptr  __gmp_p = z->_mp_d;						\
1694   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval));
1695 #else
1696 #define __GMPZ_FITS_UTYPE_P(z,maxval)					\
1697   mp_size_t  __gmp_n = z->_mp_size;					\
1698   mp_ptr  __gmp_p = z->_mp_d;						\
1699   return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval)	\
1700 	  || (__gmp_n == 2 && __gmp_p[1] <= ((mp_limb_t) maxval >> GMP_NUMB_BITS)));
1701 #endif
1702 
1703 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_uint_p)
1704 #if ! defined (__GMP_FORCE_mpz_fits_uint_p)
1705 __GMP_EXTERN_INLINE
1706 #endif
1707 int
mpz_fits_uint_p(mpz_srcptr __gmp_z)1708 mpz_fits_uint_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1709 {
1710   __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_UINT_MAX);
1711 }
1712 #endif
1713 
1714 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ulong_p)
1715 #if ! defined (__GMP_FORCE_mpz_fits_ulong_p)
1716 __GMP_EXTERN_INLINE
1717 #endif
1718 int
mpz_fits_ulong_p(mpz_srcptr __gmp_z)1719 mpz_fits_ulong_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1720 {
1721   __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_ULONG_MAX);
1722 }
1723 #endif
1724 
1725 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ushort_p)
1726 #if ! defined (__GMP_FORCE_mpz_fits_ushort_p)
1727 __GMP_EXTERN_INLINE
1728 #endif
1729 int
mpz_fits_ushort_p(mpz_srcptr __gmp_z)1730 mpz_fits_ushort_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1731 {
1732   __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_USHRT_MAX);
1733 }
1734 #endif
1735 
1736 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_get_ui)
1737 #if ! defined (__GMP_FORCE_mpz_get_ui)
1738 __GMP_EXTERN_INLINE
1739 #endif
1740 unsigned long
mpz_get_ui(mpz_srcptr __gmp_z)1741 mpz_get_ui (mpz_srcptr __gmp_z) __GMP_NOTHROW
1742 {
1743   mp_ptr __gmp_p = __gmp_z->_mp_d;
1744   mp_size_t __gmp_n = __gmp_z->_mp_size;
1745   mp_limb_t __gmp_l = __gmp_p[0];
1746   /* This is a "#if" rather than a plain "if" so as to avoid gcc warnings
1747      about "<< GMP_NUMB_BITS" exceeding the type size, and to avoid Borland
1748      C++ 6.0 warnings about condition always true for something like
1749      "__GMP_ULONG_MAX < GMP_NUMB_MASK".  */
1750 #if GMP_NAIL_BITS == 0 || defined (_LONG_LONG_LIMB)
1751   /* limb==long and no nails, or limb==longlong, one limb is enough */
1752   return (__gmp_n != 0 ? __gmp_l : 0);
1753 #else
1754   /* limb==long and nails, need two limbs when available */
1755   __gmp_n = __GMP_ABS (__gmp_n);
1756   if (__gmp_n <= 1)
1757     return (__gmp_n != 0 ? __gmp_l : 0);
1758   else
1759     return __gmp_l + (__gmp_p[1] << GMP_NUMB_BITS);
1760 #endif
1761 }
1762 #endif
1763 
1764 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_getlimbn)
1765 #if ! defined (__GMP_FORCE_mpz_getlimbn)
1766 __GMP_EXTERN_INLINE
1767 #endif
1768 mp_limb_t
mpz_getlimbn(mpz_srcptr __gmp_z,mp_size_t __gmp_n)1769 mpz_getlimbn (mpz_srcptr __gmp_z, mp_size_t __gmp_n) __GMP_NOTHROW
1770 {
1771   mp_limb_t  __gmp_result = 0;
1772   if (__GMP_LIKELY (__gmp_n >= 0 && __gmp_n < __GMP_ABS (__gmp_z->_mp_size)))
1773     __gmp_result = __gmp_z->_mp_d[__gmp_n];
1774   return __gmp_result;
1775 }
1776 #endif
1777 
1778 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_neg)
1779 __GMP_EXTERN_INLINE void
mpz_neg(mpz_ptr __gmp_w,mpz_srcptr __gmp_u)1780 mpz_neg (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1781 {
1782   if (__gmp_w != __gmp_u)
1783     mpz_set (__gmp_w, __gmp_u);
1784   __gmp_w->_mp_size = - __gmp_w->_mp_size;
1785 }
1786 #endif
1787 
1788 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_perfect_square_p)
1789 #if ! defined (__GMP_FORCE_mpz_perfect_square_p)
1790 __GMP_EXTERN_INLINE
1791 #endif
1792 int
mpz_perfect_square_p(mpz_srcptr __gmp_a)1793 mpz_perfect_square_p (mpz_srcptr __gmp_a)
1794 {
1795   mp_size_t __gmp_asize;
1796   int       __gmp_result;
1797 
1798   __gmp_asize = __gmp_a->_mp_size;
1799   __gmp_result = (__gmp_asize >= 0);  /* zero is a square, negatives are not */
1800   if (__GMP_LIKELY (__gmp_asize > 0))
1801     __gmp_result = mpn_perfect_square_p (__gmp_a->_mp_d, __gmp_asize);
1802   return __gmp_result;
1803 }
1804 #endif
1805 
1806 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_popcount)
1807 #if ! defined (__GMP_FORCE_mpz_popcount)
1808 __GMP_EXTERN_INLINE
1809 #endif
1810 mp_bitcnt_t
mpz_popcount(mpz_srcptr __gmp_u)1811 mpz_popcount (mpz_srcptr __gmp_u) __GMP_NOTHROW
1812 {
1813   mp_size_t      __gmp_usize;
1814   mp_bitcnt_t    __gmp_result;
1815 
1816   __gmp_usize = __gmp_u->_mp_size;
1817   __gmp_result = (__gmp_usize < 0 ? __GMP_ULONG_MAX : 0);
1818   if (__GMP_LIKELY (__gmp_usize > 0))
1819     __gmp_result =  mpn_popcount (__gmp_u->_mp_d, __gmp_usize);
1820   return __gmp_result;
1821 }
1822 #endif
1823 
1824 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_set_q)
1825 #if ! defined (__GMP_FORCE_mpz_set_q)
1826 __GMP_EXTERN_INLINE
1827 #endif
1828 void
mpz_set_q(mpz_ptr __gmp_w,mpq_srcptr __gmp_u)1829 mpz_set_q (mpz_ptr __gmp_w, mpq_srcptr __gmp_u)
1830 {
1831   mpz_tdiv_q (__gmp_w, mpq_numref (__gmp_u), mpq_denref (__gmp_u));
1832 }
1833 #endif
1834 
1835 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_size)
1836 #if ! defined (__GMP_FORCE_mpz_size)
1837 __GMP_EXTERN_INLINE
1838 #endif
1839 size_t
mpz_size(mpz_srcptr __gmp_z)1840 mpz_size (mpz_srcptr __gmp_z) __GMP_NOTHROW
1841 {
1842   return __GMP_ABS (__gmp_z->_mp_size);
1843 }
1844 #endif
1845 
1846 
1847 /**************** mpq inlines ****************/
1848 
1849 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_abs)
1850 __GMP_EXTERN_INLINE void
mpq_abs(mpq_ptr __gmp_w,mpq_srcptr __gmp_u)1851 mpq_abs (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1852 {
1853   if (__gmp_w != __gmp_u)
1854     mpq_set (__gmp_w, __gmp_u);
1855   __gmp_w->_mp_num._mp_size = __GMP_ABS (__gmp_w->_mp_num._mp_size);
1856 }
1857 #endif
1858 
1859 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_neg)
1860 __GMP_EXTERN_INLINE void
mpq_neg(mpq_ptr __gmp_w,mpq_srcptr __gmp_u)1861 mpq_neg (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1862 {
1863   if (__gmp_w != __gmp_u)
1864     mpq_set (__gmp_w, __gmp_u);
1865   __gmp_w->_mp_num._mp_size = - __gmp_w->_mp_num._mp_size;
1866 }
1867 #endif
1868 
1869 
1870 /**************** mpn inlines ****************/
1871 
1872 /* The comments with __GMPN_ADD_1 below apply here too.
1873 
1874    The test for FUNCTION returning 0 should predict well.  If it's assumed
1875    {yp,ysize} will usually have a random number of bits then the high limb
1876    won't be full and a carry out will occur a good deal less than 50% of the
1877    time.
1878 
1879    ysize==0 isn't a documented feature, but is used internally in a few
1880    places.
1881 
1882    Producing cout last stops it using up a register during the main part of
1883    the calculation, though gcc (as of 3.0) on an "if (mpn_add (...))"
1884    doesn't seem able to move the true and false legs of the conditional up
1885    to the two places cout is generated.  */
1886 
1887 #define __GMPN_AORS(cout, wp, xp, xsize, yp, ysize, FUNCTION, TEST)     \
1888   do {                                                                  \
1889     mp_size_t  __gmp_i;                                                 \
1890     mp_limb_t  __gmp_x;                                                 \
1891                                                                         \
1892     /* ASSERT ((ysize) >= 0); */                                        \
1893     /* ASSERT ((xsize) >= (ysize)); */                                  \
1894     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, xp, xsize)); */      \
1895     /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, yp, ysize)); */      \
1896                                                                         \
1897     __gmp_i = (ysize);                                                  \
1898     if (__gmp_i != 0)                                                   \
1899       {                                                                 \
1900         if (FUNCTION (wp, xp, yp, __gmp_i))                             \
1901           {                                                             \
1902             do                                                          \
1903               {                                                         \
1904                 if (__gmp_i >= (xsize))                                 \
1905                   {                                                     \
1906                     (cout) = 1;                                         \
1907                     goto __gmp_done;                                    \
1908                   }                                                     \
1909                 __gmp_x = (xp)[__gmp_i];                                \
1910               }                                                         \
1911             while (TEST);                                               \
1912           }                                                             \
1913       }                                                                 \
1914     if ((wp) != (xp))                                                   \
1915       __GMPN_COPY_REST (wp, xp, xsize, __gmp_i);                        \
1916     (cout) = 0;                                                         \
1917   __gmp_done:                                                           \
1918     ;                                                                   \
1919   } while (0)
1920 
1921 #define __GMPN_ADD(cout, wp, xp, xsize, yp, ysize)              \
1922   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_add_n,       \
1923                (((wp)[__gmp_i++] = (__gmp_x + 1) & GMP_NUMB_MASK) == 0))
1924 #define __GMPN_SUB(cout, wp, xp, xsize, yp, ysize)              \
1925   __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_sub_n,       \
1926                (((wp)[__gmp_i++] = (__gmp_x - 1) & GMP_NUMB_MASK), __gmp_x == 0))
1927 
1928 
1929 /* The use of __gmp_i indexing is designed to ensure a compile time src==dst
1930    remains nice and clear to the compiler, so that __GMPN_COPY_REST can
1931    disappear, and the load/add/store gets a chance to become a
1932    read-modify-write on CISC CPUs.
1933 
1934    Alternatives:
1935 
1936    Using a pair of pointers instead of indexing would be possible, but gcc
1937    isn't able to recognise compile-time src==dst in that case, even when the
1938    pointers are incremented more or less together.  Other compilers would
1939    very likely have similar difficulty.
1940 
1941    gcc could use "if (__builtin_constant_p(src==dst) && src==dst)" or
1942    similar to detect a compile-time src==dst.  This works nicely on gcc
1943    2.95.x, it's not good on gcc 3.0 where __builtin_constant_p(p==p) seems
1944    to be always false, for a pointer p.  But the current code form seems
1945    good enough for src==dst anyway.
1946 
1947    gcc on x86 as usual doesn't give particularly good flags handling for the
1948    carry/borrow detection.  It's tempting to want some multi instruction asm
1949    blocks to help it, and this was tried, but in truth there's only a few
1950    instructions to save and any gain is all too easily lost by register
1951    juggling setting up for the asm.  */
1952 
1953 #if GMP_NAIL_BITS == 0
1954 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
1955   do {								\
1956     mp_size_t  __gmp_i;						\
1957     mp_limb_t  __gmp_x, __gmp_r;                                \
1958 								\
1959     /* ASSERT ((n) >= 1); */					\
1960     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
1961 								\
1962     __gmp_x = (src)[0];						\
1963     __gmp_r = __gmp_x OP (v);                                   \
1964     (dst)[0] = __gmp_r;						\
1965     if (CB (__gmp_r, __gmp_x, (v)))                             \
1966       {								\
1967 	(cout) = 1;						\
1968 	for (__gmp_i = 1; __gmp_i < (n);)                       \
1969 	  {							\
1970 	    __gmp_x = (src)[__gmp_i];                           \
1971 	    __gmp_r = __gmp_x OP 1;                             \
1972 	    (dst)[__gmp_i] = __gmp_r;                           \
1973 	    ++__gmp_i;						\
1974 	    if (!CB (__gmp_r, __gmp_x, 1))                      \
1975 	      {							\
1976 		if ((src) != (dst))				\
1977 		  __GMPN_COPY_REST (dst, src, n, __gmp_i);      \
1978 		(cout) = 0;					\
1979 		break;						\
1980 	      }							\
1981 	  }							\
1982       }								\
1983     else							\
1984       {								\
1985 	if ((src) != (dst))					\
1986 	  __GMPN_COPY_REST (dst, src, n, 1);			\
1987 	(cout) = 0;						\
1988       }								\
1989   } while (0)
1990 #endif
1991 
1992 #if GMP_NAIL_BITS >= 1
1993 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB)		\
1994   do {								\
1995     mp_size_t  __gmp_i;						\
1996     mp_limb_t  __gmp_x, __gmp_r;				\
1997 								\
1998     /* ASSERT ((n) >= 1); */					\
1999     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */	\
2000 								\
2001     __gmp_x = (src)[0];						\
2002     __gmp_r = __gmp_x OP (v);					\
2003     (dst)[0] = __gmp_r & GMP_NUMB_MASK;				\
2004     if (__gmp_r >> GMP_NUMB_BITS != 0)				\
2005       {								\
2006 	(cout) = 1;						\
2007 	for (__gmp_i = 1; __gmp_i < (n);)			\
2008 	  {							\
2009 	    __gmp_x = (src)[__gmp_i];				\
2010 	    __gmp_r = __gmp_x OP 1;				\
2011 	    (dst)[__gmp_i] = __gmp_r & GMP_NUMB_MASK;		\
2012 	    ++__gmp_i;						\
2013 	    if (__gmp_r >> GMP_NUMB_BITS == 0)			\
2014 	      {							\
2015 		if ((src) != (dst))				\
2016 		  __GMPN_COPY_REST (dst, src, n, __gmp_i);	\
2017 		(cout) = 0;					\
2018 		break;						\
2019 	      }							\
2020 	  }							\
2021       }								\
2022     else							\
2023       {								\
2024 	if ((src) != (dst))					\
2025 	  __GMPN_COPY_REST (dst, src, n, 1);			\
2026 	(cout) = 0;						\
2027       }								\
2028   } while (0)
2029 #endif
2030 
2031 #define __GMPN_ADDCB(r,x,y) ((r) < (y))
2032 #define __GMPN_SUBCB(r,x,y) ((x) < (y))
2033 
2034 #define __GMPN_ADD_1(cout, dst, src, n, v)	     \
2035   __GMPN_AORS_1(cout, dst, src, n, v, +, __GMPN_ADDCB)
2036 #define __GMPN_SUB_1(cout, dst, src, n, v)	     \
2037   __GMPN_AORS_1(cout, dst, src, n, v, -, __GMPN_SUBCB)
2038 
2039 
2040 /* Compare {xp,size} and {yp,size}, setting "result" to positive, zero or
2041    negative.  size==0 is allowed.  On random data usually only one limb will
2042    need to be examined to get a result, so it's worth having it inline.  */
2043 #define __GMPN_CMP(result, xp, yp, size)                                \
2044   do {                                                                  \
2045     mp_size_t  __gmp_i;                                                 \
2046     mp_limb_t  __gmp_x, __gmp_y;                                        \
2047                                                                         \
2048     /* ASSERT ((size) >= 0); */                                         \
2049                                                                         \
2050     (result) = 0;                                                       \
2051     __gmp_i = (size);                                                   \
2052     while (--__gmp_i >= 0)                                              \
2053       {                                                                 \
2054         __gmp_x = (xp)[__gmp_i];                                        \
2055         __gmp_y = (yp)[__gmp_i];                                        \
2056         if (__gmp_x != __gmp_y)                                         \
2057           {                                                             \
2058             /* Cannot use __gmp_x - __gmp_y, may overflow an "int" */   \
2059             (result) = (__gmp_x > __gmp_y ? 1 : -1);                    \
2060             break;                                                      \
2061           }                                                             \
2062       }                                                                 \
2063   } while (0)
2064 
2065 
2066 #if defined (__GMPN_COPY) && ! defined (__GMPN_COPY_REST)
2067 #define __GMPN_COPY_REST(dst, src, size, start)                 \
2068   do {                                                          \
2069     /* ASSERT ((start) >= 0); */                                \
2070     /* ASSERT ((start) <= (size)); */                           \
2071     __GMPN_COPY ((dst)+(start), (src)+(start), (size)-(start)); \
2072   } while (0)
2073 #endif
2074 
2075 /* Copy {src,size} to {dst,size}, starting at "start".  This is designed to
2076    keep the indexing dst[j] and src[j] nice and simple for __GMPN_ADD_1,
2077    __GMPN_ADD, etc.  */
2078 #if ! defined (__GMPN_COPY_REST)
2079 #define __GMPN_COPY_REST(dst, src, size, start)                 \
2080   do {                                                          \
2081     mp_size_t __gmp_j;                                          \
2082     /* ASSERT ((size) >= 0); */                                 \
2083     /* ASSERT ((start) >= 0); */                                \
2084     /* ASSERT ((start) <= (size)); */                           \
2085     /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */     \
2086     __GMP_CRAY_Pragma ("_CRI ivdep");                           \
2087     for (__gmp_j = (start); __gmp_j < (size); __gmp_j++)        \
2088       (dst)[__gmp_j] = (src)[__gmp_j];                          \
2089   } while (0)
2090 #endif
2091 
2092 /* Enhancement: Use some of the smarter code from gmp-impl.h.  Maybe use
2093    mpn_copyi if there's a native version, and if we don't mind demanding
2094    binary compatibility for it (on targets which use it).  */
2095 
2096 #if ! defined (__GMPN_COPY)
2097 #define __GMPN_COPY(dst, src, size)   __GMPN_COPY_REST (dst, src, size, 0)
2098 #endif
2099 
2100 
2101 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add)
2102 #if ! defined (__GMP_FORCE_mpn_add)
2103 __GMP_EXTERN_INLINE
2104 #endif
2105 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)2106 mpn_add (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2107 {
2108   mp_limb_t  __gmp_c;
2109   __GMPN_ADD (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2110   return __gmp_c;
2111 }
2112 #endif
2113 
2114 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add_1)
2115 #if ! defined (__GMP_FORCE_mpn_add_1)
2116 __GMP_EXTERN_INLINE
2117 #endif
2118 mp_limb_t
mpn_add_1(mp_ptr __gmp_dst,mp_srcptr __gmp_src,mp_size_t __gmp_size,mp_limb_t __gmp_n)2119 mpn_add_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2120 {
2121   mp_limb_t  __gmp_c;
2122   __GMPN_ADD_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2123   return __gmp_c;
2124 }
2125 #endif
2126 
2127 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_cmp)
2128 #if ! defined (__GMP_FORCE_mpn_cmp)
2129 __GMP_EXTERN_INLINE
2130 #endif
2131 int
mpn_cmp(mp_srcptr __gmp_xp,mp_srcptr __gmp_yp,mp_size_t __gmp_size)2132 mpn_cmp (mp_srcptr __gmp_xp, mp_srcptr __gmp_yp, mp_size_t __gmp_size) __GMP_NOTHROW
2133 {
2134   int __gmp_result;
2135   __GMPN_CMP (__gmp_result, __gmp_xp, __gmp_yp, __gmp_size);
2136   return __gmp_result;
2137 }
2138 #endif
2139 
2140 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub)
2141 #if ! defined (__GMP_FORCE_mpn_sub)
2142 __GMP_EXTERN_INLINE
2143 #endif
2144 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)2145 mpn_sub (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2146 {
2147   mp_limb_t  __gmp_c;
2148   __GMPN_SUB (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2149   return __gmp_c;
2150 }
2151 #endif
2152 
2153 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub_1)
2154 #if ! defined (__GMP_FORCE_mpn_sub_1)
2155 __GMP_EXTERN_INLINE
2156 #endif
2157 mp_limb_t
mpn_sub_1(mp_ptr __gmp_dst,mp_srcptr __gmp_src,mp_size_t __gmp_size,mp_limb_t __gmp_n)2158 mpn_sub_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2159 {
2160   mp_limb_t  __gmp_c;
2161   __GMPN_SUB_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2162   return __gmp_c;
2163 }
2164 #endif
2165 
2166 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_neg)
2167 #if ! defined (__GMP_FORCE_mpn_neg)
2168 __GMP_EXTERN_INLINE
2169 #endif
2170 mp_limb_t
mpn_neg(mp_ptr __gmp_rp,mp_srcptr __gmp_up,mp_size_t __gmp_n)2171 mpn_neg (mp_ptr __gmp_rp, mp_srcptr __gmp_up, mp_size_t __gmp_n)
2172 {
2173   mp_limb_t __gmp_ul, __gmp_cy;
2174   __gmp_cy = 0;
2175   do {
2176       __gmp_ul = *__gmp_up++;
2177       *__gmp_rp++ = -__gmp_ul - __gmp_cy;
2178       __gmp_cy |= __gmp_ul != 0;
2179   } while (--__gmp_n != 0);
2180   return __gmp_cy;
2181 }
2182 #endif
2183 
2184 #if defined (__cplusplus)
2185 }
2186 #endif
2187 
2188 
2189 /* Allow faster testing for negative, zero, and positive.  */
2190 #define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0)
2191 #define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0)
2192 #define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0)
2193 
2194 /* When using GCC, optimize certain common comparisons.  */
2195 #if defined (__GNUC__) && __GNUC__ >= 2
2196 #define mpz_cmp_ui(Z,UI) \
2197   (__builtin_constant_p (UI) && (UI) == 0				\
2198    ? mpz_sgn (Z) : _mpz_cmp_ui (Z,UI))
2199 #define mpz_cmp_si(Z,SI) \
2200   (__builtin_constant_p (SI) && (SI) == 0 ? mpz_sgn (Z)			\
2201    : __builtin_constant_p (SI) && (SI) > 0				\
2202     ? _mpz_cmp_ui (Z, __GMP_CAST (unsigned long int, SI))		\
2203    : _mpz_cmp_si (Z,SI))
2204 #define mpq_cmp_ui(Q,NUI,DUI) \
2205   (__builtin_constant_p (NUI) && (NUI) == 0				\
2206    ? mpq_sgn (Q) : _mpq_cmp_ui (Q,NUI,DUI))
2207 #define mpq_cmp_si(q,n,d)                       \
2208   (__builtin_constant_p ((n) >= 0) && (n) >= 0  \
2209    ? mpq_cmp_ui (q, __GMP_CAST (unsigned long, n), d) \
2210    : _mpq_cmp_si (q, n, d))
2211 #else
2212 #define mpz_cmp_ui(Z,UI) _mpz_cmp_ui (Z,UI)
2213 #define mpz_cmp_si(Z,UI) _mpz_cmp_si (Z,UI)
2214 #define mpq_cmp_ui(Q,NUI,DUI) _mpq_cmp_ui (Q,NUI,DUI)
2215 #define mpq_cmp_si(q,n,d)  _mpq_cmp_si(q,n,d)
2216 #endif
2217 
2218 
2219 /* Using "&" rather than "&&" means these can come out branch-free.  Every
2220    mpz_t has at least one limb allocated, so fetching the low limb is always
2221    allowed.  */
2222 #define mpz_odd_p(z)   (((z)->_mp_size != 0) & __GMP_CAST (int, (z)->_mp_d[0]))
2223 #define mpz_even_p(z)  (! mpz_odd_p (z))
2224 
2225 
2226 /**************** C++ routines ****************/
2227 
2228 #ifdef __cplusplus
2229 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpz_srcptr);
2230 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpq_srcptr);
2231 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpf_srcptr);
2232 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpz_ptr);
2233 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpq_ptr);
2234 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpf_ptr);
2235 #endif
2236 
2237 
2238 /* Source-level compatibility with GMP 2 and earlier. */
2239 #define mpn_divmod(qp,np,nsize,dp,dsize) \
2240   mpn_divrem (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dp, dsize)
2241 
2242 /* Source-level compatibility with GMP 1.  */
2243 #define mpz_mdiv	mpz_fdiv_q
2244 #define mpz_mdivmod	mpz_fdiv_qr
2245 #define mpz_mmod	mpz_fdiv_r
2246 #define mpz_mdiv_ui	mpz_fdiv_q_ui
2247 #define mpz_mdivmod_ui(q,r,n,d) \
2248   (((r) == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d))
2249 #define mpz_mmod_ui(r,n,d) \
2250   (((r) == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d))
2251 
2252 /* Useful synonyms, but not quite compatible with GMP 1.  */
2253 #define mpz_div		mpz_fdiv_q
2254 #define mpz_divmod	mpz_fdiv_qr
2255 #define mpz_div_ui	mpz_fdiv_q_ui
2256 #define mpz_divmod_ui	mpz_fdiv_qr_ui
2257 #define mpz_div_2exp	mpz_fdiv_q_2exp
2258 #define mpz_mod_2exp	mpz_fdiv_r_2exp
2259 
2260 enum
2261 {
2262   GMP_ERROR_NONE = 0,
2263   GMP_ERROR_UNSUPPORTED_ARGUMENT = 1,
2264   GMP_ERROR_DIVISION_BY_ZERO = 2,
2265   GMP_ERROR_SQRT_OF_NEGATIVE = 4,
2266   GMP_ERROR_INVALID_ARGUMENT = 8
2267 };
2268 
2269 /* Define CC and CFLAGS which were used to build this version of GMP */
2270 #define __GMP_CC "gcc -std=gnu99"
2271 #define __GMP_CFLAGS "-mmacosx-version-min=10.5 -arch i386"
2272 
2273 /* Major version number is the value of __GNU_MP__ too, above and in mp.h. */
2274 #define __GNU_MP_VERSION 5
2275 #define __GNU_MP_VERSION_MINOR 0
2276 #define __GNU_MP_VERSION_PATCHLEVEL 1
2277 #define __GMP_MP_RELEASE (__GNU_MP_VERSION * 10000 + __GNU_MP_VERSION_MINOR * 100 + __GNU_MP_VERSION_PATCHLEVEL)
2278 
2279 #define __GMP_H__
2280 #endif /* __GMP_H__ */
2281