1 /* Definitions for GNU multiple precision functions. -*- mode: c -*-
3 Copyright 1991, 1993-1997, 1999-2014 Free Software Foundation, Inc.
5 This file is part of the GNU MP Library.
7 The GNU MP Library is free software; you can redistribute it and/or modify
8 it under the terms of either:
10 * the GNU Lesser General Public License as published by the Free
11 Software Foundation; either version 3 of the License, or (at your
12 option) any later version.
16 * the GNU General Public License as published by the Free Software
17 Foundation; either version 2 of the License, or (at your option) any
20 or both in parallel, as here.
22 The GNU MP Library is distributed in the hope that it will be useful, but
23 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
24 or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
27 You should have received copies of the GNU General Public License and the
28 GNU Lesser General Public License along with the GNU MP Library. If not,
29 see https://www.gnu.org/licenses/. */
33 #if defined (__cplusplus)
34 #include <iosfwd> /* for std::istream, std::ostream, std::string */
39 /* Instantiated by configure. */
40 #if ! defined (__GMP_WITHIN_CONFIGURE)
41 #define __GMP_HAVE_HOST_CPU_FAMILY_power @HAVE_HOST_CPU_FAMILY_power@
42 #define __GMP_HAVE_HOST_CPU_FAMILY_powerpc @HAVE_HOST_CPU_FAMILY_powerpc@
43 #define GMP_LIMB_BITS @GMP_LIMB_BITS@
44 #define GMP_NAIL_BITS @GMP_NAIL_BITS@
46 #define GMP_NUMB_BITS (GMP_LIMB_BITS - GMP_NAIL_BITS)
47 #define GMP_NUMB_MASK ((~ __GMP_CAST (mp_limb_t, 0)) >> GMP_NAIL_BITS)
48 #define GMP_NUMB_MAX GMP_NUMB_MASK
49 #define GMP_NAIL_MASK (~ GMP_NUMB_MASK)
52 /* The following (everything under ifndef __GNU_MP__) must be identical in
53 gmp.h and mp.h to allow both to be included in an application or during
58 #include <stddef.h> /* for size_t */
60 /* Instantiated by configure. */
61 #if ! defined (__GMP_WITHIN_CONFIGURE)
63 #define __GMP_LIBGMP_DLL @LIBGMP_DLL@
67 /* __GMP_DECLSPEC supports Windows DLL versions of libgmp, and is empty in
68 all other circumstances.
70 When compiling objects for libgmp, __GMP_DECLSPEC is an export directive,
71 or when compiling for an application it's an import directive. The two
72 cases are differentiated by __GMP_WITHIN_GMP defined by the GMP Makefiles
73 (and not defined from an application).
75 __GMP_DECLSPEC_XX is similarly used for libgmpxx. __GMP_WITHIN_GMPXX
76 indicates when building libgmpxx, and in that case libgmpxx functions are
77 exports, but libgmp functions which might get called are imports.
79 Libtool DLL_EXPORT define is not used.
81 There's no attempt to support GMP built both static and DLL. Doing so
82 would mean applications would have to tell us which of the two is going
83 to be used when linking, and that seems very tedious and error prone if
84 using GMP by hand, and equally tedious from a package since autoconf and
85 automake don't give much help.
87 __GMP_DECLSPEC is required on all documented global functions and
88 variables, the various internals in gmp-impl.h etc can be left unadorned.
89 But internals used by the test programs or speed measuring programs
90 should have __GMP_DECLSPEC, and certainly constants or variables must
91 have it or the wrong address will be resolved.
93 In gcc __declspec can go at either the start or end of a prototype.
95 In Microsoft C __declspec must go at the start, or after the type like
96 void __declspec(...) *foo()". There's no __dllexport or anything to
97 guard against someone foolish #defining dllexport. _export used to be
98 available, but no longer.
100 In Borland C _export still exists, but needs to go after the type, like
101 "void _export foo();". Would have to change the __GMP_DECLSPEC syntax to
102 make use of that. Probably more trouble than it's worth. */
104 #if defined (__GNUC__)
105 #define __GMP_DECLSPEC_EXPORT __declspec(__dllexport__)
106 #define __GMP_DECLSPEC_IMPORT __declspec(__dllimport__)
108 #if defined (_MSC_VER) || defined (__BORLANDC__)
109 #define __GMP_DECLSPEC_EXPORT __declspec(dllexport)
110 #define __GMP_DECLSPEC_IMPORT __declspec(dllimport)
113 #define __GMP_DECLSPEC_EXPORT __export
114 #define __GMP_DECLSPEC_IMPORT __import
117 #define __GMP_DECLSPEC_EXPORT _Export
118 #define __GMP_DECLSPEC_IMPORT _Import
122 #ifdef __GMP_WITHIN_GMP
123 /* compiling to go into a DLL libgmp */
124 #define __GMP_DECLSPEC __GMP_DECLSPEC_EXPORT
126 /* compiling to go into an application which will link to a DLL libgmp */
127 #define __GMP_DECLSPEC __GMP_DECLSPEC_IMPORT
130 /* all other cases */
131 #define __GMP_DECLSPEC
135 #ifdef __GMP_SHORT_LIMB
136 typedef unsigned int mp_limb_t;
137 typedef int mp_limb_signed_t;
139 #ifdef _LONG_LONG_LIMB
140 typedef unsigned long long int mp_limb_t;
141 typedef long long int mp_limb_signed_t;
143 typedef unsigned long int mp_limb_t;
144 typedef long int mp_limb_signed_t;
147 typedef unsigned long int mp_bitcnt_t;
149 /* For reference, note that the name __mpz_struct gets into C++ mangled
150 function names, which means although the "__" suggests an internal, we
151 must leave this name for binary compatibility. */
154 int _mp_alloc; /* Number of *limbs* allocated and pointed
155 to by the _mp_d field. */
156 int _mp_size; /* abs(_mp_size) is the number of limbs the
157 last field points to. If _mp_size is
158 negative this is a negative number. */
159 mp_limb_t *_mp_d; /* Pointer to the limbs. */
162 #endif /* __GNU_MP__ */
165 typedef __mpz_struct MP_INT; /* gmp 1 source compatibility */
166 typedef __mpz_struct mpz_t[1];
168 typedef mp_limb_t * mp_ptr;
169 typedef const mp_limb_t * mp_srcptr;
170 #if defined (_CRAY) && ! defined (_CRAYMPP)
171 /* plain `int' is much faster (48 bits) */
172 #define __GMP_MP_SIZE_T_INT 1
173 typedef int mp_size_t;
174 typedef int mp_exp_t;
176 #define __GMP_MP_SIZE_T_INT 0
177 typedef long int mp_size_t;
178 typedef long int mp_exp_t;
183 __mpz_struct _mp_num;
184 __mpz_struct _mp_den;
187 typedef __mpq_struct MP_RAT; /* gmp 1 source compatibility */
188 typedef __mpq_struct mpq_t[1];
192 int _mp_prec; /* Max precision, in number of `mp_limb_t's.
193 Set by mpf_init and modified by
194 mpf_set_prec. The area pointed to by the
195 _mp_d field contains `prec' + 1 limbs. */
196 int _mp_size; /* abs(_mp_size) is the number of limbs the
197 last field points to. If _mp_size is
198 negative this is a negative number. */
199 mp_exp_t _mp_exp; /* Exponent, in the base of `mp_limb_t'. */
200 mp_limb_t *_mp_d; /* Pointer to the limbs. */
203 /* typedef __mpf_struct MP_FLOAT; */
204 typedef __mpf_struct mpf_t[1];
206 /* Available random number generation algorithms. */
209 GMP_RAND_ALG_DEFAULT = 0,
210 GMP_RAND_ALG_LC = GMP_RAND_ALG_DEFAULT /* Linear congruential. */
213 /* Random state struct. */
216 mpz_t _mp_seed; /* _mp_d member points to state of the generator. */
217 gmp_randalg_t _mp_alg; /* Currently unused. */
219 void *_mp_lc; /* Pointer to function pointers structure. */
221 } __gmp_randstate_struct;
222 typedef __gmp_randstate_struct gmp_randstate_t[1];
224 /* Types for function declarations in gmp files. */
225 /* ??? Should not pollute user name space with these ??? */
226 typedef const __mpz_struct *mpz_srcptr;
227 typedef __mpz_struct *mpz_ptr;
228 typedef const __mpf_struct *mpf_srcptr;
229 typedef __mpf_struct *mpf_ptr;
230 typedef const __mpq_struct *mpq_srcptr;
231 typedef __mpq_struct *mpq_ptr;
234 /* This is not wanted in mp.h, so put it outside the __GNU_MP__ common
237 #ifdef __GMP_WITHIN_GMPXX
238 /* compiling to go into a DLL libgmpxx */
239 #define __GMP_DECLSPEC_XX __GMP_DECLSPEC_EXPORT
241 /* compiling to go into a application which will link to a DLL libgmpxx */
242 #define __GMP_DECLSPEC_XX __GMP_DECLSPEC_IMPORT
245 /* all other cases */
246 #define __GMP_DECLSPEC_XX
251 #define __MPN(x) __gmpn_##x
254 /* For reference, "defined(EOF)" cannot be used here. In g++ 2.95.4,
255 <iostream> defines EOF but not FILE. */
257 || defined (H_STDIO) \
258 || defined (_H_STDIO) /* AIX */ \
259 || defined (_STDIO_H) /* glibc, Sun, SCO */ \
260 || defined (_STDIO_H_) /* BSD, OSF */ \
261 || defined (__STDIO_H) /* Borland */ \
262 || defined (__STDIO_H__) /* IRIX */ \
263 || defined (_STDIO_INCLUDED) /* HPUX */ \
264 || defined (__dj_include_stdio_h_) /* DJGPP */ \
265 || defined (_FILE_DEFINED) /* Microsoft */ \
266 || defined (__STDIO__) /* Apple MPW MrC */ \
267 || defined (_MSL_STDIO_H) /* Metrowerks */ \
268 || defined (_STDIO_H_INCLUDED) /* QNX4 */ \
269 || defined (_ISO_STDIO_ISO_H) /* Sun C++ */ \
270 || defined (__STDIO_LOADED) /* VMS */
271 #define _GMP_H_HAVE_FILE 1
274 /* In ISO C, if a prototype involving "struct obstack *" is given without
275 that structure defined, then the struct is scoped down to just the
276 prototype, causing a conflict if it's subsequently defined for real. So
277 only give prototypes if we've got obstack.h. */
278 #if defined (_OBSTACK_H) /* glibc <obstack.h> */
279 #define _GMP_H_HAVE_OBSTACK 1
282 /* The prototypes for gmp_vprintf etc are provided only if va_list is defined,
283 via an application having included <stdarg.h>. Usually va_list is a typedef
284 so can't be tested directly, but C99 specifies that va_start is a macro.
286 <stdio.h> will define some sort of va_list for vprintf and vfprintf, but
287 let's not bother trying to use that since it's not standard and since
288 application uses for gmp_vprintf etc will almost certainly require the
289 whole <stdarg.h> anyway. */
292 #define _GMP_H_HAVE_VA_LIST 1
295 /* Test for gcc >= maj.min, as per __GNUC_PREREQ in glibc */
296 #if defined (__GNUC__) && defined (__GNUC_MINOR__)
297 #define __GMP_GNUC_PREREQ(maj, min) \
298 ((__GNUC__ << 16) + __GNUC_MINOR__ >= ((maj) << 16) + (min))
300 #define __GMP_GNUC_PREREQ(maj, min) 0
303 /* "pure" is in gcc 2.96 and up, see "(gcc)Function Attributes". Basically
304 it means a function does nothing but examine its arguments and memory
305 (global or via arguments) to generate a return value, but changes nothing
306 and has no side-effects. __GMP_NO_ATTRIBUTE_CONST_PURE lets
307 tune/common.c etc turn this off when trying to write timing loops. */
308 #if __GMP_GNUC_PREREQ (2,96) && ! defined (__GMP_NO_ATTRIBUTE_CONST_PURE)
309 #define __GMP_ATTRIBUTE_PURE __attribute__ ((__pure__))
311 #define __GMP_ATTRIBUTE_PURE
315 /* __GMP_CAST allows us to use static_cast in C++, so our macros are clean
316 to "g++ -Wold-style-cast".
318 Casts in "extern inline" code within an extern "C" block don't induce
319 these warnings, so __GMP_CAST only needs to be used on documented
323 #define __GMP_CAST(type, expr) (static_cast<type> (expr))
325 #define __GMP_CAST(type, expr) ((type) (expr))
329 /* An empty "throw ()" means the function doesn't throw any C++ exceptions,
330 this can save some stack frame info in applications.
332 Currently it's given only on functions which never divide-by-zero etc,
333 don't allocate memory, and are expected to never need to allocate memory.
334 This leaves open the possibility of a C++ throw from a future GMP
337 mpz_set_ui etc are omitted to leave open the lazy allocation scheme
338 described in doc/tasks.html. mpz_get_d etc are omitted to leave open
339 exceptions for float overflows.
341 Note that __GMP_NOTHROW must be given on any inlines the same as on their
342 prototypes (for g++ at least, where they're used together). Note also
343 that g++ 3.0 demands that __GMP_NOTHROW is before other attributes like
344 __GMP_ATTRIBUTE_PURE. */
346 #if defined (__cplusplus)
347 #define __GMP_NOTHROW throw ()
349 #define __GMP_NOTHROW
353 /* PORTME: What other compilers have a useful "extern inline"? "static
354 inline" would be an acceptable substitute if the compiler (or linker)
355 discards unused statics. */
357 /* gcc has __inline__ in all modes, including strict ansi. Give a prototype
358 for an inline too, so as to correctly specify "dllimport" on windows, in
359 case the function is called rather than inlined.
360 GCC 4.3 and above with -std=c99 or -std=gnu99 implements ISO C99
361 inline semantics, unless -fgnu89-inline is used. */
363 #if (defined __GNUC_STDC_INLINE__) || (__GNUC__ == 4 && __GNUC_MINOR__ == 2) \
364 || (defined __GNUC_GNU_INLINE__ && defined __cplusplus)
365 #define __GMP_EXTERN_INLINE extern __inline__ __attribute__ ((__gnu_inline__))
367 #define __GMP_EXTERN_INLINE extern __inline__
369 #define __GMP_INLINE_PROTOTYPES 1
372 /* DEC C (eg. version 5.9) supports "static __inline foo()", even in -std1
373 strict ANSI mode. Inlining is done even when not optimizing (ie. -O0
374 mode, which is the default), but an unnecessary local copy of foo is
375 emitted unless -O is used. "extern __inline" is accepted, but the
376 "extern" appears to be ignored, ie. it becomes a plain global function
377 but which is inlined within its file. Don't know if all old versions of
378 DEC C supported __inline, but as a start let's do the right thing for
381 #define __GMP_EXTERN_INLINE static __inline
384 /* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict
385 ANSI mode (__STDC__ is 1 in that mode). Inlining only actually takes
386 place under -O. Without -O "foo" seems to be emitted whether it's used
387 or not, which is wasteful. "extern inline foo()" isn't useful, the
388 "extern" is apparently ignored, so foo is inlined if possible but also
389 emitted as a global, which causes multiple definition errors when
390 building a shared libgmp. */
391 #ifdef __SCO_VERSION__
392 #if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
393 && ! defined (__GMP_EXTERN_INLINE)
394 #define __GMP_EXTERN_INLINE static inline
398 /* Microsoft's C compiler accepts __inline */
400 #define __GMP_EXTERN_INLINE __inline
403 /* Recent enough Sun C compilers want "inline" */
404 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x560 \
405 && ! defined (__GMP_EXTERN_INLINE)
406 #define __GMP_EXTERN_INLINE inline
409 /* Somewhat older Sun C compilers want "static inline" */
410 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x540 \
411 && ! defined (__GMP_EXTERN_INLINE)
412 #define __GMP_EXTERN_INLINE static inline
416 /* C++ always has "inline" and since it's a normal feature the linker should
417 discard duplicate non-inlined copies, or if it doesn't then that's a
418 problem for everyone, not just GMP. */
419 #if defined (__cplusplus) && ! defined (__GMP_EXTERN_INLINE)
420 #define __GMP_EXTERN_INLINE inline
423 /* Don't do any inlining within a configure run, since if the compiler ends
424 up emitting copies of the code into the object file it can end up
425 demanding the various support routines (like mpn_popcount) for linking,
426 making the "alloca" test and perhaps others fail. And on hppa ia64 a
427 pre-release gcc 3.2 was seen not respecting the "extern" in "extern
428 __inline__", triggering this problem too. */
429 #if defined (__GMP_WITHIN_CONFIGURE) && ! __GMP_WITHIN_CONFIGURE_INLINE
430 #undef __GMP_EXTERN_INLINE
433 /* By default, don't give a prototype when there's going to be an inline
434 version. Note in particular that Cray C++ objects to the combination of
435 prototype and inline. */
436 #ifdef __GMP_EXTERN_INLINE
437 #ifndef __GMP_INLINE_PROTOTYPES
438 #define __GMP_INLINE_PROTOTYPES 0
441 #define __GMP_INLINE_PROTOTYPES 1
445 #define __GMP_ABS(x) ((x) >= 0 ? (x) : -(x))
446 #define __GMP_MAX(h,i) ((h) > (i) ? (h) : (i))
448 /* __GMP_USHRT_MAX is not "~ (unsigned short) 0" because short is promoted
449 to int by "~". It still needs to have the promoted type. */
450 #define __GMP_UINT_MAX (~ (unsigned) 0)
451 #define __GMP_ULONG_MAX (~ (unsigned long) 0)
452 #define __GMP_USHRT_MAX (0 + (unsigned short) ~0)
455 /* __builtin_expect is in gcc 3.0, and not in 2.95. */
456 #if __GMP_GNUC_PREREQ (3,0)
457 #define __GMP_LIKELY(cond) __builtin_expect ((cond) != 0, 1)
458 #define __GMP_UNLIKELY(cond) __builtin_expect ((cond) != 0, 0)
460 #define __GMP_LIKELY(cond) (cond)
461 #define __GMP_UNLIKELY(cond) (cond)
465 #define __GMP_CRAY_Pragma(str) _Pragma (str)
467 #define __GMP_CRAY_Pragma(str)
471 /* Allow direct user access to numerator and denominator of a mpq_t object. */
472 #define mpq_numref(Q) (&((Q)->_mp_num))
473 #define mpq_denref(Q) (&((Q)->_mp_den))
476 #if defined (__cplusplus)
481 #define mp_set_memory_functions __gmp_set_memory_functions
482 __GMP_DECLSPEC void mp_set_memory_functions (void *(*) (size_t),
483 void *(*) (void *, size_t, size_t),
484 void (*) (void *, size_t)) __GMP_NOTHROW;
486 #define mp_get_memory_functions __gmp_get_memory_functions
487 __GMP_DECLSPEC void mp_get_memory_functions (void *(**) (size_t),
488 void *(**) (void *, size_t, size_t),
489 void (**) (void *, size_t)) __GMP_NOTHROW;
491 #define mp_bits_per_limb __gmp_bits_per_limb
492 __GMP_DECLSPEC extern const int mp_bits_per_limb;
494 #define gmp_errno __gmp_errno
495 __GMP_DECLSPEC extern int gmp_errno;
497 #define gmp_version __gmp_version
498 __GMP_DECLSPEC extern const char * const gmp_version;
501 /**************** Random number routines. ****************/
504 #define gmp_randinit __gmp_randinit
505 __GMP_DECLSPEC void gmp_randinit (gmp_randstate_t, gmp_randalg_t, ...);
507 #define gmp_randinit_default __gmp_randinit_default
508 __GMP_DECLSPEC void gmp_randinit_default (gmp_randstate_t);
510 #define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
511 __GMP_DECLSPEC void gmp_randinit_lc_2exp (gmp_randstate_t, mpz_srcptr, unsigned long int, mp_bitcnt_t);
513 #define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size
514 __GMP_DECLSPEC int gmp_randinit_lc_2exp_size (gmp_randstate_t, mp_bitcnt_t);
516 #define gmp_randinit_mt __gmp_randinit_mt
517 __GMP_DECLSPEC void gmp_randinit_mt (gmp_randstate_t);
519 #define gmp_randinit_set __gmp_randinit_set
520 __GMP_DECLSPEC void gmp_randinit_set (gmp_randstate_t, const __gmp_randstate_struct *);
522 #define gmp_randseed __gmp_randseed
523 __GMP_DECLSPEC void gmp_randseed (gmp_randstate_t, mpz_srcptr);
525 #define gmp_randseed_ui __gmp_randseed_ui
526 __GMP_DECLSPEC void gmp_randseed_ui (gmp_randstate_t, unsigned long int);
528 #define gmp_randclear __gmp_randclear
529 __GMP_DECLSPEC void gmp_randclear (gmp_randstate_t);
531 #define gmp_urandomb_ui __gmp_urandomb_ui
532 __GMP_DECLSPEC unsigned long gmp_urandomb_ui (gmp_randstate_t, unsigned long);
534 #define gmp_urandomm_ui __gmp_urandomm_ui
535 __GMP_DECLSPEC unsigned long gmp_urandomm_ui (gmp_randstate_t, unsigned long);
538 /**************** Formatted output routines. ****************/
540 #define gmp_asprintf __gmp_asprintf
541 __GMP_DECLSPEC int gmp_asprintf (char **, const char *, ...);
543 #define gmp_fprintf __gmp_fprintf
544 #ifdef _GMP_H_HAVE_FILE
545 __GMP_DECLSPEC int gmp_fprintf (FILE *, const char *, ...);
548 #define gmp_obstack_printf __gmp_obstack_printf
549 #if defined (_GMP_H_HAVE_OBSTACK)
550 __GMP_DECLSPEC int gmp_obstack_printf (struct obstack *, const char *, ...);
553 #define gmp_obstack_vprintf __gmp_obstack_vprintf
554 #if defined (_GMP_H_HAVE_OBSTACK) && defined (_GMP_H_HAVE_VA_LIST)
555 __GMP_DECLSPEC int gmp_obstack_vprintf (struct obstack *, const char *, va_list);
558 #define gmp_printf __gmp_printf
559 __GMP_DECLSPEC int gmp_printf (const char *, ...);
561 #define gmp_snprintf __gmp_snprintf
562 __GMP_DECLSPEC int gmp_snprintf (char *, size_t, const char *, ...);
564 #define gmp_sprintf __gmp_sprintf
565 __GMP_DECLSPEC int gmp_sprintf (char *, const char *, ...);
567 #define gmp_vasprintf __gmp_vasprintf
568 #if defined (_GMP_H_HAVE_VA_LIST)
569 __GMP_DECLSPEC int gmp_vasprintf (char **, const char *, va_list);
572 #define gmp_vfprintf __gmp_vfprintf
573 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
574 __GMP_DECLSPEC int gmp_vfprintf (FILE *, const char *, va_list);
577 #define gmp_vprintf __gmp_vprintf
578 #if defined (_GMP_H_HAVE_VA_LIST)
579 __GMP_DECLSPEC int gmp_vprintf (const char *, va_list);
582 #define gmp_vsnprintf __gmp_vsnprintf
583 #if defined (_GMP_H_HAVE_VA_LIST)
584 __GMP_DECLSPEC int gmp_vsnprintf (char *, size_t, const char *, va_list);
587 #define gmp_vsprintf __gmp_vsprintf
588 #if defined (_GMP_H_HAVE_VA_LIST)
589 __GMP_DECLSPEC int gmp_vsprintf (char *, const char *, va_list);
593 /**************** Formatted input routines. ****************/
595 #define gmp_fscanf __gmp_fscanf
596 #ifdef _GMP_H_HAVE_FILE
597 __GMP_DECLSPEC int gmp_fscanf (FILE *, const char *, ...);
600 #define gmp_scanf __gmp_scanf
601 __GMP_DECLSPEC int gmp_scanf (const char *, ...);
603 #define gmp_sscanf __gmp_sscanf
604 __GMP_DECLSPEC int gmp_sscanf (const char *, const char *, ...);
606 #define gmp_vfscanf __gmp_vfscanf
607 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
608 __GMP_DECLSPEC int gmp_vfscanf (FILE *, const char *, va_list);
611 #define gmp_vscanf __gmp_vscanf
612 #if defined (_GMP_H_HAVE_VA_LIST)
613 __GMP_DECLSPEC int gmp_vscanf (const char *, va_list);
616 #define gmp_vsscanf __gmp_vsscanf
617 #if defined (_GMP_H_HAVE_VA_LIST)
618 __GMP_DECLSPEC int gmp_vsscanf (const char *, const char *, va_list);
622 /**************** Integer (i.e. Z) routines. ****************/
624 #define _mpz_realloc __gmpz_realloc
625 #define mpz_realloc __gmpz_realloc
626 __GMP_DECLSPEC void *_mpz_realloc (mpz_ptr, mp_size_t);
628 #define mpz_abs __gmpz_abs
629 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs)
630 __GMP_DECLSPEC void mpz_abs (mpz_ptr, mpz_srcptr);
633 #define mpz_add __gmpz_add
634 __GMP_DECLSPEC void mpz_add (mpz_ptr, mpz_srcptr, mpz_srcptr);
636 #define mpz_add_ui __gmpz_add_ui
637 __GMP_DECLSPEC void mpz_add_ui (mpz_ptr, mpz_srcptr, unsigned long int);
639 #define mpz_addmul __gmpz_addmul
640 __GMP_DECLSPEC void mpz_addmul (mpz_ptr, mpz_srcptr, mpz_srcptr);
642 #define mpz_addmul_ui __gmpz_addmul_ui
643 __GMP_DECLSPEC void mpz_addmul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
645 #define mpz_and __gmpz_and
646 __GMP_DECLSPEC void mpz_and (mpz_ptr, mpz_srcptr, mpz_srcptr);
648 #define mpz_array_init __gmpz_array_init
649 __GMP_DECLSPEC void mpz_array_init (mpz_ptr, mp_size_t, mp_size_t);
651 #define mpz_bin_ui __gmpz_bin_ui
652 __GMP_DECLSPEC void mpz_bin_ui (mpz_ptr, mpz_srcptr, unsigned long int);
654 #define mpz_bin_uiui __gmpz_bin_uiui
655 __GMP_DECLSPEC void mpz_bin_uiui (mpz_ptr, unsigned long int, unsigned long int);
657 #define mpz_cdiv_q __gmpz_cdiv_q
658 __GMP_DECLSPEC void mpz_cdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
660 #define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
661 __GMP_DECLSPEC void mpz_cdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
663 #define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
664 __GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
666 #define mpz_cdiv_qr __gmpz_cdiv_qr
667 __GMP_DECLSPEC void mpz_cdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
669 #define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
670 __GMP_DECLSPEC unsigned long int mpz_cdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
672 #define mpz_cdiv_r __gmpz_cdiv_r
673 __GMP_DECLSPEC void mpz_cdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
675 #define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
676 __GMP_DECLSPEC void mpz_cdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
678 #define mpz_cdiv_r_ui __gmpz_cdiv_r_ui
679 __GMP_DECLSPEC unsigned long int mpz_cdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
681 #define mpz_cdiv_ui __gmpz_cdiv_ui
682 __GMP_DECLSPEC unsigned long int mpz_cdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
684 #define mpz_clear __gmpz_clear
685 __GMP_DECLSPEC void mpz_clear (mpz_ptr);
687 #define mpz_clears __gmpz_clears
688 __GMP_DECLSPEC void mpz_clears (mpz_ptr, ...);
690 #define mpz_clrbit __gmpz_clrbit
691 __GMP_DECLSPEC void mpz_clrbit (mpz_ptr, mp_bitcnt_t);
693 #define mpz_cmp __gmpz_cmp
694 __GMP_DECLSPEC int mpz_cmp (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
696 #define mpz_cmp_d __gmpz_cmp_d
697 __GMP_DECLSPEC int mpz_cmp_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
699 #define _mpz_cmp_si __gmpz_cmp_si
700 __GMP_DECLSPEC int _mpz_cmp_si (mpz_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
702 #define _mpz_cmp_ui __gmpz_cmp_ui
703 __GMP_DECLSPEC int _mpz_cmp_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
705 #define mpz_cmpabs __gmpz_cmpabs
706 __GMP_DECLSPEC int mpz_cmpabs (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
708 #define mpz_cmpabs_d __gmpz_cmpabs_d
709 __GMP_DECLSPEC int mpz_cmpabs_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE;
711 #define mpz_cmpabs_ui __gmpz_cmpabs_ui
712 __GMP_DECLSPEC int mpz_cmpabs_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
714 #define mpz_com __gmpz_com
715 __GMP_DECLSPEC void mpz_com (mpz_ptr, mpz_srcptr);
717 #define mpz_combit __gmpz_combit
718 __GMP_DECLSPEC void mpz_combit (mpz_ptr, mp_bitcnt_t);
720 #define mpz_congruent_p __gmpz_congruent_p
721 __GMP_DECLSPEC int mpz_congruent_p (mpz_srcptr, mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
723 #define mpz_congruent_2exp_p __gmpz_congruent_2exp_p
724 __GMP_DECLSPEC int mpz_congruent_2exp_p (mpz_srcptr, mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
726 #define mpz_congruent_ui_p __gmpz_congruent_ui_p
727 __GMP_DECLSPEC int mpz_congruent_ui_p (mpz_srcptr, unsigned long, unsigned long) __GMP_ATTRIBUTE_PURE;
729 #define mpz_divexact __gmpz_divexact
730 __GMP_DECLSPEC void mpz_divexact (mpz_ptr, mpz_srcptr, mpz_srcptr);
732 #define mpz_divexact_ui __gmpz_divexact_ui
733 __GMP_DECLSPEC void mpz_divexact_ui (mpz_ptr, mpz_srcptr, unsigned long);
735 #define mpz_divisible_p __gmpz_divisible_p
736 __GMP_DECLSPEC int mpz_divisible_p (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
738 #define mpz_divisible_ui_p __gmpz_divisible_ui_p
739 __GMP_DECLSPEC int mpz_divisible_ui_p (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
741 #define mpz_divisible_2exp_p __gmpz_divisible_2exp_p
742 __GMP_DECLSPEC int mpz_divisible_2exp_p (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
744 #define mpz_dump __gmpz_dump
745 __GMP_DECLSPEC void mpz_dump (mpz_srcptr);
747 #define mpz_export __gmpz_export
748 __GMP_DECLSPEC void *mpz_export (void *, size_t *, int, size_t, int, size_t, mpz_srcptr);
750 #define mpz_fac_ui __gmpz_fac_ui
751 __GMP_DECLSPEC void mpz_fac_ui (mpz_ptr, unsigned long int);
753 #define mpz_2fac_ui __gmpz_2fac_ui
754 __GMP_DECLSPEC void mpz_2fac_ui (mpz_ptr, unsigned long int);
756 #define mpz_mfac_uiui __gmpz_mfac_uiui
757 __GMP_DECLSPEC void mpz_mfac_uiui (mpz_ptr, unsigned long int, unsigned long int);
759 #define mpz_primorial_ui __gmpz_primorial_ui
760 __GMP_DECLSPEC void mpz_primorial_ui (mpz_ptr, unsigned long int);
762 #define mpz_fdiv_q __gmpz_fdiv_q
763 __GMP_DECLSPEC void mpz_fdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
765 #define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
766 __GMP_DECLSPEC void mpz_fdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
768 #define mpz_fdiv_q_ui __gmpz_fdiv_q_ui
769 __GMP_DECLSPEC unsigned long int mpz_fdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
771 #define mpz_fdiv_qr __gmpz_fdiv_qr
772 __GMP_DECLSPEC void mpz_fdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
774 #define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui
775 __GMP_DECLSPEC unsigned long int mpz_fdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
777 #define mpz_fdiv_r __gmpz_fdiv_r
778 __GMP_DECLSPEC void mpz_fdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
780 #define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
781 __GMP_DECLSPEC void mpz_fdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
783 #define mpz_fdiv_r_ui __gmpz_fdiv_r_ui
784 __GMP_DECLSPEC unsigned long int mpz_fdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
786 #define mpz_fdiv_ui __gmpz_fdiv_ui
787 __GMP_DECLSPEC unsigned long int mpz_fdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
789 #define mpz_fib_ui __gmpz_fib_ui
790 __GMP_DECLSPEC void mpz_fib_ui (mpz_ptr, unsigned long int);
792 #define mpz_fib2_ui __gmpz_fib2_ui
793 __GMP_DECLSPEC void mpz_fib2_ui (mpz_ptr, mpz_ptr, unsigned long int);
795 #define mpz_fits_sint_p __gmpz_fits_sint_p
796 __GMP_DECLSPEC int mpz_fits_sint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
798 #define mpz_fits_slong_p __gmpz_fits_slong_p
799 __GMP_DECLSPEC int mpz_fits_slong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
801 #define mpz_fits_sshort_p __gmpz_fits_sshort_p
802 __GMP_DECLSPEC int mpz_fits_sshort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
804 #define mpz_fits_uint_p __gmpz_fits_uint_p
805 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_uint_p)
806 __GMP_DECLSPEC int mpz_fits_uint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
809 #define mpz_fits_ulong_p __gmpz_fits_ulong_p
810 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ulong_p)
811 __GMP_DECLSPEC int mpz_fits_ulong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
814 #define mpz_fits_ushort_p __gmpz_fits_ushort_p
815 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ushort_p)
816 __GMP_DECLSPEC int mpz_fits_ushort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
819 #define mpz_gcd __gmpz_gcd
820 __GMP_DECLSPEC void mpz_gcd (mpz_ptr, mpz_srcptr, mpz_srcptr);
822 #define mpz_gcd_ui __gmpz_gcd_ui
823 __GMP_DECLSPEC unsigned long int mpz_gcd_ui (mpz_ptr, mpz_srcptr, unsigned long int);
825 #define mpz_gcdext __gmpz_gcdext
826 __GMP_DECLSPEC void mpz_gcdext (mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
828 #define mpz_get_d __gmpz_get_d
829 __GMP_DECLSPEC double mpz_get_d (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
831 #define mpz_get_d_2exp __gmpz_get_d_2exp
832 __GMP_DECLSPEC double mpz_get_d_2exp (signed long int *, mpz_srcptr);
834 #define mpz_get_si __gmpz_get_si
835 __GMP_DECLSPEC /* signed */ long int mpz_get_si (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
837 #define mpz_get_str __gmpz_get_str
838 __GMP_DECLSPEC char *mpz_get_str (char *, int, mpz_srcptr);
840 #define mpz_get_ui __gmpz_get_ui
841 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_get_ui)
842 __GMP_DECLSPEC unsigned long int mpz_get_ui (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
845 #define mpz_getlimbn __gmpz_getlimbn
846 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_getlimbn)
847 __GMP_DECLSPEC mp_limb_t mpz_getlimbn (mpz_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
850 #define mpz_hamdist __gmpz_hamdist
851 __GMP_DECLSPEC mp_bitcnt_t mpz_hamdist (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
853 #define mpz_import __gmpz_import
854 __GMP_DECLSPEC void mpz_import (mpz_ptr, size_t, int, size_t, int, size_t, const void *);
856 #define mpz_init __gmpz_init
857 __GMP_DECLSPEC void mpz_init (mpz_ptr);
859 #define mpz_init2 __gmpz_init2
860 __GMP_DECLSPEC void mpz_init2 (mpz_ptr, mp_bitcnt_t);
862 #define mpz_inits __gmpz_inits
863 __GMP_DECLSPEC void mpz_inits (mpz_ptr, ...);
865 #define mpz_init_set __gmpz_init_set
866 __GMP_DECLSPEC void mpz_init_set (mpz_ptr, mpz_srcptr);
868 #define mpz_init_set_d __gmpz_init_set_d
869 __GMP_DECLSPEC void mpz_init_set_d (mpz_ptr, double);
871 #define mpz_init_set_si __gmpz_init_set_si
872 __GMP_DECLSPEC void mpz_init_set_si (mpz_ptr, signed long int);
874 #define mpz_init_set_str __gmpz_init_set_str
875 __GMP_DECLSPEC int mpz_init_set_str (mpz_ptr, const char *, int);
877 #define mpz_init_set_ui __gmpz_init_set_ui
878 __GMP_DECLSPEC void mpz_init_set_ui (mpz_ptr, unsigned long int);
880 #define mpz_inp_raw __gmpz_inp_raw
881 #ifdef _GMP_H_HAVE_FILE
882 __GMP_DECLSPEC size_t mpz_inp_raw (mpz_ptr, FILE *);
885 #define mpz_inp_str __gmpz_inp_str
886 #ifdef _GMP_H_HAVE_FILE
887 __GMP_DECLSPEC size_t mpz_inp_str (mpz_ptr, FILE *, int);
890 #define mpz_invert __gmpz_invert
891 __GMP_DECLSPEC int mpz_invert (mpz_ptr, mpz_srcptr, mpz_srcptr);
893 #define mpz_ior __gmpz_ior
894 __GMP_DECLSPEC void mpz_ior (mpz_ptr, mpz_srcptr, mpz_srcptr);
896 #define mpz_jacobi __gmpz_jacobi
897 __GMP_DECLSPEC int mpz_jacobi (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
899 #define mpz_kronecker mpz_jacobi /* alias */
901 #define mpz_kronecker_si __gmpz_kronecker_si
902 __GMP_DECLSPEC int mpz_kronecker_si (mpz_srcptr, long) __GMP_ATTRIBUTE_PURE;
904 #define mpz_kronecker_ui __gmpz_kronecker_ui
905 __GMP_DECLSPEC int mpz_kronecker_ui (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE;
907 #define mpz_si_kronecker __gmpz_si_kronecker
908 __GMP_DECLSPEC int mpz_si_kronecker (long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
910 #define mpz_ui_kronecker __gmpz_ui_kronecker
911 __GMP_DECLSPEC int mpz_ui_kronecker (unsigned long, mpz_srcptr) __GMP_ATTRIBUTE_PURE;
913 #define mpz_lcm __gmpz_lcm
914 __GMP_DECLSPEC void mpz_lcm (mpz_ptr, mpz_srcptr, mpz_srcptr);
916 #define mpz_lcm_ui __gmpz_lcm_ui
917 __GMP_DECLSPEC void mpz_lcm_ui (mpz_ptr, mpz_srcptr, unsigned long);
919 #define mpz_legendre mpz_jacobi /* alias */
921 #define mpz_lucnum_ui __gmpz_lucnum_ui
922 __GMP_DECLSPEC void mpz_lucnum_ui (mpz_ptr, unsigned long int);
924 #define mpz_lucnum2_ui __gmpz_lucnum2_ui
925 __GMP_DECLSPEC void mpz_lucnum2_ui (mpz_ptr, mpz_ptr, unsigned long int);
927 #define mpz_millerrabin __gmpz_millerrabin
928 __GMP_DECLSPEC int mpz_millerrabin (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
930 #define mpz_mod __gmpz_mod
931 __GMP_DECLSPEC void mpz_mod (mpz_ptr, mpz_srcptr, mpz_srcptr);
933 #define mpz_mod_ui mpz_fdiv_r_ui /* same as fdiv_r because divisor unsigned */
935 #define mpz_mul __gmpz_mul
936 __GMP_DECLSPEC void mpz_mul (mpz_ptr, mpz_srcptr, mpz_srcptr);
938 #define mpz_mul_2exp __gmpz_mul_2exp
939 __GMP_DECLSPEC void mpz_mul_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
941 #define mpz_mul_si __gmpz_mul_si
942 __GMP_DECLSPEC void mpz_mul_si (mpz_ptr, mpz_srcptr, long int);
944 #define mpz_mul_ui __gmpz_mul_ui
945 __GMP_DECLSPEC void mpz_mul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
947 #define mpz_neg __gmpz_neg
948 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_neg)
949 __GMP_DECLSPEC void mpz_neg (mpz_ptr, mpz_srcptr);
952 #define mpz_nextprime __gmpz_nextprime
953 __GMP_DECLSPEC void mpz_nextprime (mpz_ptr, mpz_srcptr);
955 #define mpz_out_raw __gmpz_out_raw
956 #ifdef _GMP_H_HAVE_FILE
957 __GMP_DECLSPEC size_t mpz_out_raw (FILE *, mpz_srcptr);
960 #define mpz_out_str __gmpz_out_str
961 #ifdef _GMP_H_HAVE_FILE
962 __GMP_DECLSPEC size_t mpz_out_str (FILE *, int, mpz_srcptr);
965 #define mpz_perfect_power_p __gmpz_perfect_power_p
966 __GMP_DECLSPEC int mpz_perfect_power_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
968 #define mpz_perfect_square_p __gmpz_perfect_square_p
969 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_perfect_square_p)
970 __GMP_DECLSPEC int mpz_perfect_square_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE;
973 #define mpz_popcount __gmpz_popcount
974 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_popcount)
975 __GMP_DECLSPEC mp_bitcnt_t mpz_popcount (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
978 #define mpz_pow_ui __gmpz_pow_ui
979 __GMP_DECLSPEC void mpz_pow_ui (mpz_ptr, mpz_srcptr, unsigned long int);
981 #define mpz_powm __gmpz_powm
982 __GMP_DECLSPEC void mpz_powm (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
984 #define mpz_powm_sec __gmpz_powm_sec
985 __GMP_DECLSPEC void mpz_powm_sec (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr);
987 #define mpz_powm_ui __gmpz_powm_ui
988 __GMP_DECLSPEC void mpz_powm_ui (mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr);
990 #define mpz_probab_prime_p __gmpz_probab_prime_p
991 __GMP_DECLSPEC int mpz_probab_prime_p (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE;
993 #define mpz_random __gmpz_random
994 __GMP_DECLSPEC void mpz_random (mpz_ptr, mp_size_t);
996 #define mpz_random2 __gmpz_random2
997 __GMP_DECLSPEC void mpz_random2 (mpz_ptr, mp_size_t);
999 #define mpz_realloc2 __gmpz_realloc2
1000 __GMP_DECLSPEC void mpz_realloc2 (mpz_ptr, mp_bitcnt_t);
1002 #define mpz_remove __gmpz_remove
1003 __GMP_DECLSPEC mp_bitcnt_t mpz_remove (mpz_ptr, mpz_srcptr, mpz_srcptr);
1005 #define mpz_root __gmpz_root
1006 __GMP_DECLSPEC int mpz_root (mpz_ptr, mpz_srcptr, unsigned long int);
1008 #define mpz_rootrem __gmpz_rootrem
1009 __GMP_DECLSPEC void mpz_rootrem (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
1011 #define mpz_rrandomb __gmpz_rrandomb
1012 __GMP_DECLSPEC void mpz_rrandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
1014 #define mpz_scan0 __gmpz_scan0
1015 __GMP_DECLSPEC mp_bitcnt_t mpz_scan0 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1017 #define mpz_scan1 __gmpz_scan1
1018 __GMP_DECLSPEC mp_bitcnt_t mpz_scan1 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1020 #define mpz_set __gmpz_set
1021 __GMP_DECLSPEC void mpz_set (mpz_ptr, mpz_srcptr);
1023 #define mpz_set_d __gmpz_set_d
1024 __GMP_DECLSPEC void mpz_set_d (mpz_ptr, double);
1026 #define mpz_set_f __gmpz_set_f
1027 __GMP_DECLSPEC void mpz_set_f (mpz_ptr, mpf_srcptr);
1029 #define mpz_set_q __gmpz_set_q
1030 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_set_q)
1031 __GMP_DECLSPEC void mpz_set_q (mpz_ptr, mpq_srcptr);
1034 #define mpz_set_si __gmpz_set_si
1035 __GMP_DECLSPEC void mpz_set_si (mpz_ptr, signed long int);
1037 #define mpz_set_str __gmpz_set_str
1038 __GMP_DECLSPEC int mpz_set_str (mpz_ptr, const char *, int);
1040 #define mpz_set_ui __gmpz_set_ui
1041 __GMP_DECLSPEC void mpz_set_ui (mpz_ptr, unsigned long int);
1043 #define mpz_setbit __gmpz_setbit
1044 __GMP_DECLSPEC void mpz_setbit (mpz_ptr, mp_bitcnt_t);
1046 #define mpz_size __gmpz_size
1047 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_size)
1048 __GMP_DECLSPEC size_t mpz_size (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1051 #define mpz_sizeinbase __gmpz_sizeinbase
1052 __GMP_DECLSPEC size_t mpz_sizeinbase (mpz_srcptr, int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1054 #define mpz_sqrt __gmpz_sqrt
1055 __GMP_DECLSPEC void mpz_sqrt (mpz_ptr, mpz_srcptr);
1057 #define mpz_sqrtrem __gmpz_sqrtrem
1058 __GMP_DECLSPEC void mpz_sqrtrem (mpz_ptr, mpz_ptr, mpz_srcptr);
1060 #define mpz_sub __gmpz_sub
1061 __GMP_DECLSPEC void mpz_sub (mpz_ptr, mpz_srcptr, mpz_srcptr);
1063 #define mpz_sub_ui __gmpz_sub_ui
1064 __GMP_DECLSPEC void mpz_sub_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1066 #define mpz_ui_sub __gmpz_ui_sub
1067 __GMP_DECLSPEC void mpz_ui_sub (mpz_ptr, unsigned long int, mpz_srcptr);
1069 #define mpz_submul __gmpz_submul
1070 __GMP_DECLSPEC void mpz_submul (mpz_ptr, mpz_srcptr, mpz_srcptr);
1072 #define mpz_submul_ui __gmpz_submul_ui
1073 __GMP_DECLSPEC void mpz_submul_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1075 #define mpz_swap __gmpz_swap
1076 __GMP_DECLSPEC void mpz_swap (mpz_ptr, mpz_ptr) __GMP_NOTHROW;
1078 #define mpz_tdiv_ui __gmpz_tdiv_ui
1079 __GMP_DECLSPEC unsigned long int mpz_tdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE;
1081 #define mpz_tdiv_q __gmpz_tdiv_q
1082 __GMP_DECLSPEC void mpz_tdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr);
1084 #define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp
1085 __GMP_DECLSPEC void mpz_tdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
1087 #define mpz_tdiv_q_ui __gmpz_tdiv_q_ui
1088 __GMP_DECLSPEC unsigned long int mpz_tdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1090 #define mpz_tdiv_qr __gmpz_tdiv_qr
1091 __GMP_DECLSPEC void mpz_tdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr);
1093 #define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui
1094 __GMP_DECLSPEC unsigned long int mpz_tdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int);
1096 #define mpz_tdiv_r __gmpz_tdiv_r
1097 __GMP_DECLSPEC void mpz_tdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr);
1099 #define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp
1100 __GMP_DECLSPEC void mpz_tdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t);
1102 #define mpz_tdiv_r_ui __gmpz_tdiv_r_ui
1103 __GMP_DECLSPEC unsigned long int mpz_tdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int);
1105 #define mpz_tstbit __gmpz_tstbit
1106 __GMP_DECLSPEC int mpz_tstbit (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1108 #define mpz_ui_pow_ui __gmpz_ui_pow_ui
1109 __GMP_DECLSPEC void mpz_ui_pow_ui (mpz_ptr, unsigned long int, unsigned long int);
1111 #define mpz_urandomb __gmpz_urandomb
1112 __GMP_DECLSPEC void mpz_urandomb (mpz_ptr, gmp_randstate_t, mp_bitcnt_t);
1114 #define mpz_urandomm __gmpz_urandomm
1115 __GMP_DECLSPEC void mpz_urandomm (mpz_ptr, gmp_randstate_t, mpz_srcptr);
1117 #define mpz_xor __gmpz_xor
1118 #define mpz_eor __gmpz_xor
1119 __GMP_DECLSPEC void mpz_xor (mpz_ptr, mpz_srcptr, mpz_srcptr);
1121 #define mpz_limbs_read __gmpz_limbs_read
1122 __GMP_DECLSPEC mp_srcptr mpz_limbs_read (mpz_srcptr);
1124 #define mpz_limbs_write __gmpz_limbs_write
1125 __GMP_DECLSPEC mp_ptr mpz_limbs_write (mpz_ptr, mp_size_t);
1127 #define mpz_limbs_modify __gmpz_limbs_modify
1128 __GMP_DECLSPEC mp_ptr mpz_limbs_modify (mpz_ptr, mp_size_t);
1130 #define mpz_limbs_finish __gmpz_limbs_finish
1131 __GMP_DECLSPEC void mpz_limbs_finish (mpz_ptr, mp_size_t);
1133 #define mpz_roinit_n __gmpz_roinit_n
1134 __GMP_DECLSPEC mpz_srcptr mpz_roinit_n (mpz_ptr, mp_srcptr, mp_size_t);
1136 #define MPZ_ROINIT_N(xp, xs) {{0, (xs),(xp) }}
1138 /**************** Rational (i.e. Q) routines. ****************/
1140 #define mpq_abs __gmpq_abs
1141 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_abs)
1142 __GMP_DECLSPEC void mpq_abs (mpq_ptr, mpq_srcptr);
1145 #define mpq_add __gmpq_add
1146 __GMP_DECLSPEC void mpq_add (mpq_ptr, mpq_srcptr, mpq_srcptr);
1148 #define mpq_canonicalize __gmpq_canonicalize
1149 __GMP_DECLSPEC void mpq_canonicalize (mpq_ptr);
1151 #define mpq_clear __gmpq_clear
1152 __GMP_DECLSPEC void mpq_clear (mpq_ptr);
1154 #define mpq_clears __gmpq_clears
1155 __GMP_DECLSPEC void mpq_clears (mpq_ptr, ...);
1157 #define mpq_cmp __gmpq_cmp
1158 __GMP_DECLSPEC int mpq_cmp (mpq_srcptr, mpq_srcptr) __GMP_ATTRIBUTE_PURE;
1160 #define _mpq_cmp_si __gmpq_cmp_si
1161 __GMP_DECLSPEC int _mpq_cmp_si (mpq_srcptr, long, unsigned long) __GMP_ATTRIBUTE_PURE;
1163 #define _mpq_cmp_ui __gmpq_cmp_ui
1164 __GMP_DECLSPEC int _mpq_cmp_ui (mpq_srcptr, unsigned long int, unsigned long int) __GMP_ATTRIBUTE_PURE;
1166 #define mpq_div __gmpq_div
1167 __GMP_DECLSPEC void mpq_div (mpq_ptr, mpq_srcptr, mpq_srcptr);
1169 #define mpq_div_2exp __gmpq_div_2exp
1170 __GMP_DECLSPEC void mpq_div_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
1172 #define mpq_equal __gmpq_equal
1173 __GMP_DECLSPEC int mpq_equal (mpq_srcptr, mpq_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1175 #define mpq_get_num __gmpq_get_num
1176 __GMP_DECLSPEC void mpq_get_num (mpz_ptr, mpq_srcptr);
1178 #define mpq_get_den __gmpq_get_den
1179 __GMP_DECLSPEC void mpq_get_den (mpz_ptr, mpq_srcptr);
1181 #define mpq_get_d __gmpq_get_d
1182 __GMP_DECLSPEC double mpq_get_d (mpq_srcptr) __GMP_ATTRIBUTE_PURE;
1184 #define mpq_get_str __gmpq_get_str
1185 __GMP_DECLSPEC char *mpq_get_str (char *, int, mpq_srcptr);
1187 #define mpq_init __gmpq_init
1188 __GMP_DECLSPEC void mpq_init (mpq_ptr);
1190 #define mpq_inits __gmpq_inits
1191 __GMP_DECLSPEC void mpq_inits (mpq_ptr, ...);
1193 #define mpq_inp_str __gmpq_inp_str
1194 #ifdef _GMP_H_HAVE_FILE
1195 __GMP_DECLSPEC size_t mpq_inp_str (mpq_ptr, FILE *, int);
1198 #define mpq_inv __gmpq_inv
1199 __GMP_DECLSPEC void mpq_inv (mpq_ptr, mpq_srcptr);
1201 #define mpq_mul __gmpq_mul
1202 __GMP_DECLSPEC void mpq_mul (mpq_ptr, mpq_srcptr, mpq_srcptr);
1204 #define mpq_mul_2exp __gmpq_mul_2exp
1205 __GMP_DECLSPEC void mpq_mul_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t);
1207 #define mpq_neg __gmpq_neg
1208 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_neg)
1209 __GMP_DECLSPEC void mpq_neg (mpq_ptr, mpq_srcptr);
1212 #define mpq_out_str __gmpq_out_str
1213 #ifdef _GMP_H_HAVE_FILE
1214 __GMP_DECLSPEC size_t mpq_out_str (FILE *, int, mpq_srcptr);
1217 #define mpq_set __gmpq_set
1218 __GMP_DECLSPEC void mpq_set (mpq_ptr, mpq_srcptr);
1220 #define mpq_set_d __gmpq_set_d
1221 __GMP_DECLSPEC void mpq_set_d (mpq_ptr, double);
1223 #define mpq_set_den __gmpq_set_den
1224 __GMP_DECLSPEC void mpq_set_den (mpq_ptr, mpz_srcptr);
1226 #define mpq_set_f __gmpq_set_f
1227 __GMP_DECLSPEC void mpq_set_f (mpq_ptr, mpf_srcptr);
1229 #define mpq_set_num __gmpq_set_num
1230 __GMP_DECLSPEC void mpq_set_num (mpq_ptr, mpz_srcptr);
1232 #define mpq_set_si __gmpq_set_si
1233 __GMP_DECLSPEC void mpq_set_si (mpq_ptr, signed long int, unsigned long int);
1235 #define mpq_set_str __gmpq_set_str
1236 __GMP_DECLSPEC int mpq_set_str (mpq_ptr, const char *, int);
1238 #define mpq_set_ui __gmpq_set_ui
1239 __GMP_DECLSPEC void mpq_set_ui (mpq_ptr, unsigned long int, unsigned long int);
1241 #define mpq_set_z __gmpq_set_z
1242 __GMP_DECLSPEC void mpq_set_z (mpq_ptr, mpz_srcptr);
1244 #define mpq_sub __gmpq_sub
1245 __GMP_DECLSPEC void mpq_sub (mpq_ptr, mpq_srcptr, mpq_srcptr);
1247 #define mpq_swap __gmpq_swap
1248 __GMP_DECLSPEC void mpq_swap (mpq_ptr, mpq_ptr) __GMP_NOTHROW;
1251 /**************** Float (i.e. F) routines. ****************/
1253 #define mpf_abs __gmpf_abs
1254 __GMP_DECLSPEC void mpf_abs (mpf_ptr, mpf_srcptr);
1256 #define mpf_add __gmpf_add
1257 __GMP_DECLSPEC void mpf_add (mpf_ptr, mpf_srcptr, mpf_srcptr);
1259 #define mpf_add_ui __gmpf_add_ui
1260 __GMP_DECLSPEC void mpf_add_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1261 #define mpf_ceil __gmpf_ceil
1262 __GMP_DECLSPEC void mpf_ceil (mpf_ptr, mpf_srcptr);
1264 #define mpf_clear __gmpf_clear
1265 __GMP_DECLSPEC void mpf_clear (mpf_ptr);
1267 #define mpf_clears __gmpf_clears
1268 __GMP_DECLSPEC void mpf_clears (mpf_ptr, ...);
1270 #define mpf_cmp __gmpf_cmp
1271 __GMP_DECLSPEC int mpf_cmp (mpf_srcptr, mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1273 #define mpf_cmp_d __gmpf_cmp_d
1274 __GMP_DECLSPEC int mpf_cmp_d (mpf_srcptr, double) __GMP_ATTRIBUTE_PURE;
1276 #define mpf_cmp_si __gmpf_cmp_si
1277 __GMP_DECLSPEC int mpf_cmp_si (mpf_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1279 #define mpf_cmp_ui __gmpf_cmp_ui
1280 __GMP_DECLSPEC int mpf_cmp_ui (mpf_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1282 #define mpf_div __gmpf_div
1283 __GMP_DECLSPEC void mpf_div (mpf_ptr, mpf_srcptr, mpf_srcptr);
1285 #define mpf_div_2exp __gmpf_div_2exp
1286 __GMP_DECLSPEC void mpf_div_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
1288 #define mpf_div_ui __gmpf_div_ui
1289 __GMP_DECLSPEC void mpf_div_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1291 #define mpf_dump __gmpf_dump
1292 __GMP_DECLSPEC void mpf_dump (mpf_srcptr);
1294 #define mpf_eq __gmpf_eq
1295 __GMP_DECLSPEC int mpf_eq (mpf_srcptr, mpf_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
1297 #define mpf_fits_sint_p __gmpf_fits_sint_p
1298 __GMP_DECLSPEC int mpf_fits_sint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1300 #define mpf_fits_slong_p __gmpf_fits_slong_p
1301 __GMP_DECLSPEC int mpf_fits_slong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1303 #define mpf_fits_sshort_p __gmpf_fits_sshort_p
1304 __GMP_DECLSPEC int mpf_fits_sshort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1306 #define mpf_fits_uint_p __gmpf_fits_uint_p
1307 __GMP_DECLSPEC int mpf_fits_uint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1309 #define mpf_fits_ulong_p __gmpf_fits_ulong_p
1310 __GMP_DECLSPEC int mpf_fits_ulong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1312 #define mpf_fits_ushort_p __gmpf_fits_ushort_p
1313 __GMP_DECLSPEC int mpf_fits_ushort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1315 #define mpf_floor __gmpf_floor
1316 __GMP_DECLSPEC void mpf_floor (mpf_ptr, mpf_srcptr);
1318 #define mpf_get_d __gmpf_get_d
1319 __GMP_DECLSPEC double mpf_get_d (mpf_srcptr) __GMP_ATTRIBUTE_PURE;
1321 #define mpf_get_d_2exp __gmpf_get_d_2exp
1322 __GMP_DECLSPEC double mpf_get_d_2exp (signed long int *, mpf_srcptr);
1324 #define mpf_get_default_prec __gmpf_get_default_prec
1325 __GMP_DECLSPEC mp_bitcnt_t mpf_get_default_prec (void) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1327 #define mpf_get_prec __gmpf_get_prec
1328 __GMP_DECLSPEC mp_bitcnt_t mpf_get_prec (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1330 #define mpf_get_si __gmpf_get_si
1331 __GMP_DECLSPEC long mpf_get_si (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1333 #define mpf_get_str __gmpf_get_str
1334 __GMP_DECLSPEC char *mpf_get_str (char *, mp_exp_t *, int, size_t, mpf_srcptr);
1336 #define mpf_get_ui __gmpf_get_ui
1337 __GMP_DECLSPEC unsigned long mpf_get_ui (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1339 #define mpf_init __gmpf_init
1340 __GMP_DECLSPEC void mpf_init (mpf_ptr);
1342 #define mpf_init2 __gmpf_init2
1343 __GMP_DECLSPEC void mpf_init2 (mpf_ptr, mp_bitcnt_t);
1345 #define mpf_inits __gmpf_inits
1346 __GMP_DECLSPEC void mpf_inits (mpf_ptr, ...);
1348 #define mpf_init_set __gmpf_init_set
1349 __GMP_DECLSPEC void mpf_init_set (mpf_ptr, mpf_srcptr);
1351 #define mpf_init_set_d __gmpf_init_set_d
1352 __GMP_DECLSPEC void mpf_init_set_d (mpf_ptr, double);
1354 #define mpf_init_set_si __gmpf_init_set_si
1355 __GMP_DECLSPEC void mpf_init_set_si (mpf_ptr, signed long int);
1357 #define mpf_init_set_str __gmpf_init_set_str
1358 __GMP_DECLSPEC int mpf_init_set_str (mpf_ptr, const char *, int);
1360 #define mpf_init_set_ui __gmpf_init_set_ui
1361 __GMP_DECLSPEC void mpf_init_set_ui (mpf_ptr, unsigned long int);
1363 #define mpf_inp_str __gmpf_inp_str
1364 #ifdef _GMP_H_HAVE_FILE
1365 __GMP_DECLSPEC size_t mpf_inp_str (mpf_ptr, FILE *, int);
1368 #define mpf_integer_p __gmpf_integer_p
1369 __GMP_DECLSPEC int mpf_integer_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1371 #define mpf_mul __gmpf_mul
1372 __GMP_DECLSPEC void mpf_mul (mpf_ptr, mpf_srcptr, mpf_srcptr);
1374 #define mpf_mul_2exp __gmpf_mul_2exp
1375 __GMP_DECLSPEC void mpf_mul_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t);
1377 #define mpf_mul_ui __gmpf_mul_ui
1378 __GMP_DECLSPEC void mpf_mul_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1380 #define mpf_neg __gmpf_neg
1381 __GMP_DECLSPEC void mpf_neg (mpf_ptr, mpf_srcptr);
1383 #define mpf_out_str __gmpf_out_str
1384 #ifdef _GMP_H_HAVE_FILE
1385 __GMP_DECLSPEC size_t mpf_out_str (FILE *, int, size_t, mpf_srcptr);
1388 #define mpf_pow_ui __gmpf_pow_ui
1389 __GMP_DECLSPEC void mpf_pow_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1391 #define mpf_random2 __gmpf_random2
1392 __GMP_DECLSPEC void mpf_random2 (mpf_ptr, mp_size_t, mp_exp_t);
1394 #define mpf_reldiff __gmpf_reldiff
1395 __GMP_DECLSPEC void mpf_reldiff (mpf_ptr, mpf_srcptr, mpf_srcptr);
1397 #define mpf_set __gmpf_set
1398 __GMP_DECLSPEC void mpf_set (mpf_ptr, mpf_srcptr);
1400 #define mpf_set_d __gmpf_set_d
1401 __GMP_DECLSPEC void mpf_set_d (mpf_ptr, double);
1403 #define mpf_set_default_prec __gmpf_set_default_prec
1404 __GMP_DECLSPEC void mpf_set_default_prec (mp_bitcnt_t) __GMP_NOTHROW;
1406 #define mpf_set_prec __gmpf_set_prec
1407 __GMP_DECLSPEC void mpf_set_prec (mpf_ptr, mp_bitcnt_t);
1409 #define mpf_set_prec_raw __gmpf_set_prec_raw
1410 __GMP_DECLSPEC void mpf_set_prec_raw (mpf_ptr, mp_bitcnt_t) __GMP_NOTHROW;
1412 #define mpf_set_q __gmpf_set_q
1413 __GMP_DECLSPEC void mpf_set_q (mpf_ptr, mpq_srcptr);
1415 #define mpf_set_si __gmpf_set_si
1416 __GMP_DECLSPEC void mpf_set_si (mpf_ptr, signed long int);
1418 #define mpf_set_str __gmpf_set_str
1419 __GMP_DECLSPEC int mpf_set_str (mpf_ptr, const char *, int);
1421 #define mpf_set_ui __gmpf_set_ui
1422 __GMP_DECLSPEC void mpf_set_ui (mpf_ptr, unsigned long int);
1424 #define mpf_set_z __gmpf_set_z
1425 __GMP_DECLSPEC void mpf_set_z (mpf_ptr, mpz_srcptr);
1427 #define mpf_size __gmpf_size
1428 __GMP_DECLSPEC size_t mpf_size (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1430 #define mpf_sqrt __gmpf_sqrt
1431 __GMP_DECLSPEC void mpf_sqrt (mpf_ptr, mpf_srcptr);
1433 #define mpf_sqrt_ui __gmpf_sqrt_ui
1434 __GMP_DECLSPEC void mpf_sqrt_ui (mpf_ptr, unsigned long int);
1436 #define mpf_sub __gmpf_sub
1437 __GMP_DECLSPEC void mpf_sub (mpf_ptr, mpf_srcptr, mpf_srcptr);
1439 #define mpf_sub_ui __gmpf_sub_ui
1440 __GMP_DECLSPEC void mpf_sub_ui (mpf_ptr, mpf_srcptr, unsigned long int);
1442 #define mpf_swap __gmpf_swap
1443 __GMP_DECLSPEC void mpf_swap (mpf_ptr, mpf_ptr) __GMP_NOTHROW;
1445 #define mpf_trunc __gmpf_trunc
1446 __GMP_DECLSPEC void mpf_trunc (mpf_ptr, mpf_srcptr);
1448 #define mpf_ui_div __gmpf_ui_div
1449 __GMP_DECLSPEC void mpf_ui_div (mpf_ptr, unsigned long int, mpf_srcptr);
1451 #define mpf_ui_sub __gmpf_ui_sub
1452 __GMP_DECLSPEC void mpf_ui_sub (mpf_ptr, unsigned long int, mpf_srcptr);
1454 #define mpf_urandomb __gmpf_urandomb
1455 __GMP_DECLSPEC void mpf_urandomb (mpf_t, gmp_randstate_t, mp_bitcnt_t);
1458 /************ Low level positive-integer (i.e. N) routines. ************/
1460 /* This is ugly, but we need to make user calls reach the prefixed function. */
1462 #define mpn_add __MPN(add)
1463 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add)
1464 __GMP_DECLSPEC mp_limb_t mpn_add (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1467 #define mpn_add_1 __MPN(add_1)
1468 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add_1)
1469 __GMP_DECLSPEC mp_limb_t mpn_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
1472 #define mpn_add_n __MPN(add_n)
1473 __GMP_DECLSPEC mp_limb_t mpn_add_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1475 #define mpn_addmul_1 __MPN(addmul_1)
1476 __GMP_DECLSPEC mp_limb_t mpn_addmul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1478 #define mpn_cmp __MPN(cmp)
1479 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_cmp)
1480 __GMP_DECLSPEC int mpn_cmp (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1483 #define mpn_divexact_by3(dst,src,size) \
1484 mpn_divexact_by3c (dst, src, size, __GMP_CAST (mp_limb_t, 0))
1486 #define mpn_divexact_by3c __MPN(divexact_by3c)
1487 __GMP_DECLSPEC mp_limb_t mpn_divexact_by3c (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1489 #define mpn_divmod_1(qp,np,nsize,dlimb) \
1490 mpn_divrem_1 (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dlimb)
1492 #define mpn_divrem __MPN(divrem)
1493 __GMP_DECLSPEC mp_limb_t mpn_divrem (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t);
1495 #define mpn_divrem_1 __MPN(divrem_1)
1496 __GMP_DECLSPEC mp_limb_t mpn_divrem_1 (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t);
1498 #define mpn_divrem_2 __MPN(divrem_2)
1499 __GMP_DECLSPEC mp_limb_t mpn_divrem_2 (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr);
1501 #define mpn_div_qr_1 __MPN(div_qr_1)
1502 __GMP_DECLSPEC mp_limb_t mpn_div_qr_1 (mp_ptr, mp_limb_t *, mp_srcptr, mp_size_t, mp_limb_t);
1504 #define mpn_div_qr_2 __MPN(div_qr_2)
1505 __GMP_DECLSPEC mp_limb_t mpn_div_qr_2 (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
1507 #define mpn_gcd __MPN(gcd)
1508 __GMP_DECLSPEC mp_size_t mpn_gcd (mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
1510 #define mpn_gcd_1 __MPN(gcd_1)
1511 __GMP_DECLSPEC mp_limb_t mpn_gcd_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1513 #define mpn_gcdext_1 __MPN(gcdext_1)
1514 __GMP_DECLSPEC mp_limb_t mpn_gcdext_1 (mp_limb_signed_t *, mp_limb_signed_t *, mp_limb_t, mp_limb_t);
1516 #define mpn_gcdext __MPN(gcdext)
1517 __GMP_DECLSPEC mp_size_t mpn_gcdext (mp_ptr, mp_ptr, mp_size_t *, mp_ptr, mp_size_t, mp_ptr, mp_size_t);
1519 #define mpn_get_str __MPN(get_str)
1520 __GMP_DECLSPEC size_t mpn_get_str (unsigned char *, int, mp_ptr, mp_size_t);
1522 #define mpn_hamdist __MPN(hamdist)
1523 __GMP_DECLSPEC mp_bitcnt_t mpn_hamdist (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1525 #define mpn_lshift __MPN(lshift)
1526 __GMP_DECLSPEC mp_limb_t mpn_lshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
1528 #define mpn_mod_1 __MPN(mod_1)
1529 __GMP_DECLSPEC mp_limb_t mpn_mod_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1531 #define mpn_mul __MPN(mul)
1532 __GMP_DECLSPEC mp_limb_t mpn_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1534 #define mpn_mul_1 __MPN(mul_1)
1535 __GMP_DECLSPEC mp_limb_t mpn_mul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1537 #define mpn_mul_n __MPN(mul_n)
1538 __GMP_DECLSPEC void mpn_mul_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1540 #define mpn_sqr __MPN(sqr)
1541 __GMP_DECLSPEC void mpn_sqr (mp_ptr, mp_srcptr, mp_size_t);
1543 #define mpn_neg __MPN(neg)
1544 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_neg)
1545 __GMP_DECLSPEC mp_limb_t mpn_neg (mp_ptr, mp_srcptr, mp_size_t);
1548 #define mpn_com __MPN(com)
1549 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_com)
1550 __GMP_DECLSPEC void mpn_com (mp_ptr, mp_srcptr, mp_size_t);
1553 #define mpn_perfect_square_p __MPN(perfect_square_p)
1554 __GMP_DECLSPEC int mpn_perfect_square_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
1556 #define mpn_perfect_power_p __MPN(perfect_power_p)
1557 __GMP_DECLSPEC int mpn_perfect_power_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE;
1559 #define mpn_popcount __MPN(popcount)
1560 __GMP_DECLSPEC mp_bitcnt_t mpn_popcount (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1562 #define mpn_pow_1 __MPN(pow_1)
1563 __GMP_DECLSPEC mp_size_t mpn_pow_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
1565 /* undocumented now, but retained here for upward compatibility */
1566 #define mpn_preinv_mod_1 __MPN(preinv_mod_1)
1567 __GMP_DECLSPEC mp_limb_t mpn_preinv_mod_1 (mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
1569 #define mpn_random __MPN(random)
1570 __GMP_DECLSPEC void mpn_random (mp_ptr, mp_size_t);
1572 #define mpn_random2 __MPN(random2)
1573 __GMP_DECLSPEC void mpn_random2 (mp_ptr, mp_size_t);
1575 #define mpn_rshift __MPN(rshift)
1576 __GMP_DECLSPEC mp_limb_t mpn_rshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
1578 #define mpn_scan0 __MPN(scan0)
1579 __GMP_DECLSPEC mp_bitcnt_t mpn_scan0 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
1581 #define mpn_scan1 __MPN(scan1)
1582 __GMP_DECLSPEC mp_bitcnt_t mpn_scan1 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE;
1584 #define mpn_set_str __MPN(set_str)
1585 __GMP_DECLSPEC mp_size_t mpn_set_str (mp_ptr, const unsigned char *, size_t, int);
1587 #define mpn_sizeinbase __MPN(sizeinbase)
1588 __GMP_DECLSPEC size_t mpn_sizeinbase (mp_srcptr, mp_size_t, int);
1590 #define mpn_sqrtrem __MPN(sqrtrem)
1591 __GMP_DECLSPEC mp_size_t mpn_sqrtrem (mp_ptr, mp_ptr, mp_srcptr, mp_size_t);
1593 #define mpn_sub __MPN(sub)
1594 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub)
1595 __GMP_DECLSPEC mp_limb_t mpn_sub (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1598 #define mpn_sub_1 __MPN(sub_1)
1599 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub_1)
1600 __GMP_DECLSPEC mp_limb_t mpn_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW;
1603 #define mpn_sub_n __MPN(sub_n)
1604 __GMP_DECLSPEC mp_limb_t mpn_sub_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1606 #define mpn_submul_1 __MPN(submul_1)
1607 __GMP_DECLSPEC mp_limb_t mpn_submul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
1609 #define mpn_tdiv_qr __MPN(tdiv_qr)
1610 __GMP_DECLSPEC void mpn_tdiv_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
1612 #define mpn_and_n __MPN(and_n)
1613 __GMP_DECLSPEC void mpn_and_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1614 #define mpn_andn_n __MPN(andn_n)
1615 __GMP_DECLSPEC void mpn_andn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1616 #define mpn_nand_n __MPN(nand_n)
1617 __GMP_DECLSPEC void mpn_nand_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1618 #define mpn_ior_n __MPN(ior_n)
1619 __GMP_DECLSPEC void mpn_ior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1620 #define mpn_iorn_n __MPN(iorn_n)
1621 __GMP_DECLSPEC void mpn_iorn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1622 #define mpn_nior_n __MPN(nior_n)
1623 __GMP_DECLSPEC void mpn_nior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1624 #define mpn_xor_n __MPN(xor_n)
1625 __GMP_DECLSPEC void mpn_xor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1626 #define mpn_xnor_n __MPN(xnor_n)
1627 __GMP_DECLSPEC void mpn_xnor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1629 #define mpn_copyi __MPN(copyi)
1630 __GMP_DECLSPEC void mpn_copyi (mp_ptr, mp_srcptr, mp_size_t);
1631 #define mpn_copyd __MPN(copyd)
1632 __GMP_DECLSPEC void mpn_copyd (mp_ptr, mp_srcptr, mp_size_t);
1633 #define mpn_zero __MPN(zero)
1634 __GMP_DECLSPEC void mpn_zero (mp_ptr, mp_size_t);
1636 #define mpn_cnd_add_n __MPN(cnd_add_n)
1637 __GMP_DECLSPEC mp_limb_t mpn_cnd_add_n (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1638 #define mpn_cnd_sub_n __MPN(cnd_sub_n)
1639 __GMP_DECLSPEC mp_limb_t mpn_cnd_sub_n (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
1641 #define mpn_sec_add_1 __MPN(sec_add_1)
1642 __GMP_DECLSPEC mp_limb_t mpn_sec_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
1643 #define mpn_sec_add_1_itch __MPN(sec_add_1_itch)
1644 __GMP_DECLSPEC mp_size_t mpn_sec_add_1_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
1646 #define mpn_sec_sub_1 __MPN(sec_sub_1)
1647 __GMP_DECLSPEC mp_limb_t mpn_sec_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr);
1648 #define mpn_sec_sub_1_itch __MPN(sec_sub_1_itch)
1649 __GMP_DECLSPEC mp_size_t mpn_sec_sub_1_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
1651 #define mpn_sec_mul __MPN(sec_mul)
1652 __GMP_DECLSPEC void mpn_sec_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
1653 #define mpn_sec_mul_itch __MPN(sec_mul_itch)
1654 __GMP_DECLSPEC mp_size_t mpn_sec_mul_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
1656 #define mpn_sec_sqr __MPN(sec_sqr)
1657 __GMP_DECLSPEC void mpn_sec_sqr (mp_ptr, mp_srcptr, mp_size_t, mp_ptr);
1658 #define mpn_sec_sqr_itch __MPN(sec_sqr_itch)
1659 __GMP_DECLSPEC mp_size_t mpn_sec_sqr_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
1661 #define mpn_sec_powm __MPN(sec_powm)
1662 __GMP_DECLSPEC void mpn_sec_powm (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_bitcnt_t, mp_srcptr, mp_size_t, mp_ptr);
1663 #define mpn_sec_powm_itch __MPN(sec_powm_itch)
1664 __GMP_DECLSPEC mp_size_t mpn_sec_powm_itch (mp_size_t, mp_bitcnt_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
1666 #define mpn_sec_tabselect __MPN(sec_tabselect)
1667 __GMP_DECLSPEC void mpn_sec_tabselect (volatile mp_limb_t *, volatile const mp_limb_t *, mp_size_t, mp_size_t, mp_size_t);
1669 #define mpn_sec_div_qr __MPN(sec_div_qr)
1670 __GMP_DECLSPEC mp_limb_t mpn_sec_div_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
1671 #define mpn_sec_div_qr_itch __MPN(sec_div_qr_itch)
1672 __GMP_DECLSPEC mp_size_t mpn_sec_div_qr_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
1673 #define mpn_sec_div_r __MPN(sec_div_r)
1674 __GMP_DECLSPEC void mpn_sec_div_r (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr);
1675 #define mpn_sec_div_r_itch __MPN(sec_div_r_itch)
1676 __GMP_DECLSPEC mp_size_t mpn_sec_div_r_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE;
1678 #define mpn_sec_invert __MPN(sec_invert)
1679 __GMP_DECLSPEC int mpn_sec_invert (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_bitcnt_t, mp_ptr);
1680 #define mpn_sec_invert_itch __MPN(sec_invert_itch)
1681 __GMP_DECLSPEC mp_size_t mpn_sec_invert_itch (mp_size_t) __GMP_ATTRIBUTE_PURE;
1684 /**************** mpz inlines ****************/
1686 /* The following are provided as inlines where possible, but always exist as
1687 library functions too, for binary compatibility.
1689 Within gmp itself this inlining generally isn't relied on, since it
1690 doesn't get done for all compilers, whereas if something is worth
1691 inlining then it's worth arranging always.
1693 There are two styles of inlining here. When the same bit of code is
1694 wanted for the inline as for the library version, then __GMP_FORCE_foo
1695 arranges for that code to be emitted and the __GMP_EXTERN_INLINE
1696 directive suppressed, eg. mpz_fits_uint_p. When a different bit of code
1697 is wanted for the inline than for the library version, then
1698 __GMP_FORCE_foo arranges the inline to be suppressed, eg. mpz_abs. */
1700 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_abs)
1701 __GMP_EXTERN_INLINE void
1702 mpz_abs (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1704 if (__gmp_w != __gmp_u)
1705 mpz_set (__gmp_w, __gmp_u);
1706 __gmp_w->_mp_size = __GMP_ABS (__gmp_w->_mp_size);
1710 #if GMP_NAIL_BITS == 0
1711 #define __GMPZ_FITS_UTYPE_P(z,maxval) \
1712 mp_size_t __gmp_n = z->_mp_size; \
1713 mp_ptr __gmp_p = z->_mp_d; \
1714 return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval));
1716 #define __GMPZ_FITS_UTYPE_P(z,maxval) \
1717 mp_size_t __gmp_n = z->_mp_size; \
1718 mp_ptr __gmp_p = z->_mp_d; \
1719 return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval) \
1720 || (__gmp_n == 2 && __gmp_p[1] <= ((mp_limb_t) maxval >> GMP_NUMB_BITS)));
1723 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_uint_p)
1724 #if ! defined (__GMP_FORCE_mpz_fits_uint_p)
1728 mpz_fits_uint_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1730 __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_UINT_MAX);
1734 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ulong_p)
1735 #if ! defined (__GMP_FORCE_mpz_fits_ulong_p)
1739 mpz_fits_ulong_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1741 __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_ULONG_MAX);
1745 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ushort_p)
1746 #if ! defined (__GMP_FORCE_mpz_fits_ushort_p)
1750 mpz_fits_ushort_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1752 __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_USHRT_MAX);
1756 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_get_ui)
1757 #if ! defined (__GMP_FORCE_mpz_get_ui)
1761 mpz_get_ui (mpz_srcptr __gmp_z) __GMP_NOTHROW
1763 mp_ptr __gmp_p = __gmp_z->_mp_d;
1764 mp_size_t __gmp_n = __gmp_z->_mp_size;
1765 mp_limb_t __gmp_l = __gmp_p[0];
1766 /* This is a "#if" rather than a plain "if" so as to avoid gcc warnings
1767 about "<< GMP_NUMB_BITS" exceeding the type size, and to avoid Borland
1768 C++ 6.0 warnings about condition always true for something like
1769 "__GMP_ULONG_MAX < GMP_NUMB_MASK". */
1770 #if GMP_NAIL_BITS == 0 || defined (_LONG_LONG_LIMB)
1771 /* limb==long and no nails, or limb==longlong, one limb is enough */
1772 return (__gmp_n != 0 ? __gmp_l : 0);
1774 /* limb==long and nails, need two limbs when available */
1775 __gmp_n = __GMP_ABS (__gmp_n);
1777 return (__gmp_n != 0 ? __gmp_l : 0);
1779 return __gmp_l + (__gmp_p[1] << GMP_NUMB_BITS);
1784 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_getlimbn)
1785 #if ! defined (__GMP_FORCE_mpz_getlimbn)
1789 mpz_getlimbn (mpz_srcptr __gmp_z, mp_size_t __gmp_n) __GMP_NOTHROW
1791 mp_limb_t __gmp_result = 0;
1792 if (__GMP_LIKELY (__gmp_n >= 0 && __gmp_n < __GMP_ABS (__gmp_z->_mp_size)))
1793 __gmp_result = __gmp_z->_mp_d[__gmp_n];
1794 return __gmp_result;
1798 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_neg)
1799 __GMP_EXTERN_INLINE void
1800 mpz_neg (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1802 if (__gmp_w != __gmp_u)
1803 mpz_set (__gmp_w, __gmp_u);
1804 __gmp_w->_mp_size = - __gmp_w->_mp_size;
1808 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_perfect_square_p)
1809 #if ! defined (__GMP_FORCE_mpz_perfect_square_p)
1813 mpz_perfect_square_p (mpz_srcptr __gmp_a)
1815 mp_size_t __gmp_asize;
1818 __gmp_asize = __gmp_a->_mp_size;
1819 __gmp_result = (__gmp_asize >= 0); /* zero is a square, negatives are not */
1820 if (__GMP_LIKELY (__gmp_asize > 0))
1821 __gmp_result = mpn_perfect_square_p (__gmp_a->_mp_d, __gmp_asize);
1822 return __gmp_result;
1826 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_popcount)
1827 #if ! defined (__GMP_FORCE_mpz_popcount)
1831 mpz_popcount (mpz_srcptr __gmp_u) __GMP_NOTHROW
1833 mp_size_t __gmp_usize;
1834 mp_bitcnt_t __gmp_result;
1836 __gmp_usize = __gmp_u->_mp_size;
1837 __gmp_result = (__gmp_usize < 0 ? __GMP_ULONG_MAX : 0);
1838 if (__GMP_LIKELY (__gmp_usize > 0))
1839 __gmp_result = mpn_popcount (__gmp_u->_mp_d, __gmp_usize);
1840 return __gmp_result;
1844 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_set_q)
1845 #if ! defined (__GMP_FORCE_mpz_set_q)
1849 mpz_set_q (mpz_ptr __gmp_w, mpq_srcptr __gmp_u)
1851 mpz_tdiv_q (__gmp_w, mpq_numref (__gmp_u), mpq_denref (__gmp_u));
1855 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_size)
1856 #if ! defined (__GMP_FORCE_mpz_size)
1860 mpz_size (mpz_srcptr __gmp_z) __GMP_NOTHROW
1862 return __GMP_ABS (__gmp_z->_mp_size);
1867 /**************** mpq inlines ****************/
1869 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_abs)
1870 __GMP_EXTERN_INLINE void
1871 mpq_abs (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1873 if (__gmp_w != __gmp_u)
1874 mpq_set (__gmp_w, __gmp_u);
1875 __gmp_w->_mp_num._mp_size = __GMP_ABS (__gmp_w->_mp_num._mp_size);
1879 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_neg)
1880 __GMP_EXTERN_INLINE void
1881 mpq_neg (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1883 if (__gmp_w != __gmp_u)
1884 mpq_set (__gmp_w, __gmp_u);
1885 __gmp_w->_mp_num._mp_size = - __gmp_w->_mp_num._mp_size;
1890 /**************** mpn inlines ****************/
1892 /* The comments with __GMPN_ADD_1 below apply here too.
1894 The test for FUNCTION returning 0 should predict well. If it's assumed
1895 {yp,ysize} will usually have a random number of bits then the high limb
1896 won't be full and a carry out will occur a good deal less than 50% of the
1899 ysize==0 isn't a documented feature, but is used internally in a few
1902 Producing cout last stops it using up a register during the main part of
1903 the calculation, though gcc (as of 3.0) on an "if (mpn_add (...))"
1904 doesn't seem able to move the true and false legs of the conditional up
1905 to the two places cout is generated. */
1907 #define __GMPN_AORS(cout, wp, xp, xsize, yp, ysize, FUNCTION, TEST) \
1909 mp_size_t __gmp_i; \
1910 mp_limb_t __gmp_x; \
1912 /* ASSERT ((ysize) >= 0); */ \
1913 /* ASSERT ((xsize) >= (ysize)); */ \
1914 /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, xp, xsize)); */ \
1915 /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, yp, ysize)); */ \
1917 __gmp_i = (ysize); \
1920 if (FUNCTION (wp, xp, yp, __gmp_i)) \
1924 if (__gmp_i >= (xsize)) \
1929 __gmp_x = (xp)[__gmp_i]; \
1935 __GMPN_COPY_REST (wp, xp, xsize, __gmp_i); \
1941 #define __GMPN_ADD(cout, wp, xp, xsize, yp, ysize) \
1942 __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_add_n, \
1943 (((wp)[__gmp_i++] = (__gmp_x + 1) & GMP_NUMB_MASK) == 0))
1944 #define __GMPN_SUB(cout, wp, xp, xsize, yp, ysize) \
1945 __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_sub_n, \
1946 (((wp)[__gmp_i++] = (__gmp_x - 1) & GMP_NUMB_MASK), __gmp_x == 0))
1949 /* The use of __gmp_i indexing is designed to ensure a compile time src==dst
1950 remains nice and clear to the compiler, so that __GMPN_COPY_REST can
1951 disappear, and the load/add/store gets a chance to become a
1952 read-modify-write on CISC CPUs.
1956 Using a pair of pointers instead of indexing would be possible, but gcc
1957 isn't able to recognise compile-time src==dst in that case, even when the
1958 pointers are incremented more or less together. Other compilers would
1959 very likely have similar difficulty.
1961 gcc could use "if (__builtin_constant_p(src==dst) && src==dst)" or
1962 similar to detect a compile-time src==dst. This works nicely on gcc
1963 2.95.x, it's not good on gcc 3.0 where __builtin_constant_p(p==p) seems
1964 to be always false, for a pointer p. But the current code form seems
1965 good enough for src==dst anyway.
1967 gcc on x86 as usual doesn't give particularly good flags handling for the
1968 carry/borrow detection. It's tempting to want some multi instruction asm
1969 blocks to help it, and this was tried, but in truth there's only a few
1970 instructions to save and any gain is all too easily lost by register
1971 juggling setting up for the asm. */
1973 #if GMP_NAIL_BITS == 0
1974 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB) \
1976 mp_size_t __gmp_i; \
1977 mp_limb_t __gmp_x, __gmp_r; \
1979 /* ASSERT ((n) >= 1); */ \
1980 /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */ \
1982 __gmp_x = (src)[0]; \
1983 __gmp_r = __gmp_x OP (v); \
1984 (dst)[0] = __gmp_r; \
1985 if (CB (__gmp_r, __gmp_x, (v))) \
1988 for (__gmp_i = 1; __gmp_i < (n);) \
1990 __gmp_x = (src)[__gmp_i]; \
1991 __gmp_r = __gmp_x OP 1; \
1992 (dst)[__gmp_i] = __gmp_r; \
1994 if (!CB (__gmp_r, __gmp_x, 1)) \
1996 if ((src) != (dst)) \
1997 __GMPN_COPY_REST (dst, src, n, __gmp_i); \
2005 if ((src) != (dst)) \
2006 __GMPN_COPY_REST (dst, src, n, 1); \
2012 #if GMP_NAIL_BITS >= 1
2013 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB) \
2015 mp_size_t __gmp_i; \
2016 mp_limb_t __gmp_x, __gmp_r; \
2018 /* ASSERT ((n) >= 1); */ \
2019 /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */ \
2021 __gmp_x = (src)[0]; \
2022 __gmp_r = __gmp_x OP (v); \
2023 (dst)[0] = __gmp_r & GMP_NUMB_MASK; \
2024 if (__gmp_r >> GMP_NUMB_BITS != 0) \
2027 for (__gmp_i = 1; __gmp_i < (n);) \
2029 __gmp_x = (src)[__gmp_i]; \
2030 __gmp_r = __gmp_x OP 1; \
2031 (dst)[__gmp_i] = __gmp_r & GMP_NUMB_MASK; \
2033 if (__gmp_r >> GMP_NUMB_BITS == 0) \
2035 if ((src) != (dst)) \
2036 __GMPN_COPY_REST (dst, src, n, __gmp_i); \
2044 if ((src) != (dst)) \
2045 __GMPN_COPY_REST (dst, src, n, 1); \
2051 #define __GMPN_ADDCB(r,x,y) ((r) < (y))
2052 #define __GMPN_SUBCB(r,x,y) ((x) < (y))
2054 #define __GMPN_ADD_1(cout, dst, src, n, v) \
2055 __GMPN_AORS_1(cout, dst, src, n, v, +, __GMPN_ADDCB)
2056 #define __GMPN_SUB_1(cout, dst, src, n, v) \
2057 __GMPN_AORS_1(cout, dst, src, n, v, -, __GMPN_SUBCB)
2060 /* Compare {xp,size} and {yp,size}, setting "result" to positive, zero or
2061 negative. size==0 is allowed. On random data usually only one limb will
2062 need to be examined to get a result, so it's worth having it inline. */
2063 #define __GMPN_CMP(result, xp, yp, size) \
2065 mp_size_t __gmp_i; \
2066 mp_limb_t __gmp_x, __gmp_y; \
2068 /* ASSERT ((size) >= 0); */ \
2072 while (--__gmp_i >= 0) \
2074 __gmp_x = (xp)[__gmp_i]; \
2075 __gmp_y = (yp)[__gmp_i]; \
2076 if (__gmp_x != __gmp_y) \
2078 /* Cannot use __gmp_x - __gmp_y, may overflow an "int" */ \
2079 (result) = (__gmp_x > __gmp_y ? 1 : -1); \
2086 #if defined (__GMPN_COPY) && ! defined (__GMPN_COPY_REST)
2087 #define __GMPN_COPY_REST(dst, src, size, start) \
2089 /* ASSERT ((start) >= 0); */ \
2090 /* ASSERT ((start) <= (size)); */ \
2091 __GMPN_COPY ((dst)+(start), (src)+(start), (size)-(start)); \
2095 /* Copy {src,size} to {dst,size}, starting at "start". This is designed to
2096 keep the indexing dst[j] and src[j] nice and simple for __GMPN_ADD_1,
2098 #if ! defined (__GMPN_COPY_REST)
2099 #define __GMPN_COPY_REST(dst, src, size, start) \
2101 mp_size_t __gmp_j; \
2102 /* ASSERT ((size) >= 0); */ \
2103 /* ASSERT ((start) >= 0); */ \
2104 /* ASSERT ((start) <= (size)); */ \
2105 /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */ \
2106 __GMP_CRAY_Pragma ("_CRI ivdep"); \
2107 for (__gmp_j = (start); __gmp_j < (size); __gmp_j++) \
2108 (dst)[__gmp_j] = (src)[__gmp_j]; \
2112 /* Enhancement: Use some of the smarter code from gmp-impl.h. Maybe use
2113 mpn_copyi if there's a native version, and if we don't mind demanding
2114 binary compatibility for it (on targets which use it). */
2116 #if ! defined (__GMPN_COPY)
2117 #define __GMPN_COPY(dst, src, size) __GMPN_COPY_REST (dst, src, size, 0)
2121 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add)
2122 #if ! defined (__GMP_FORCE_mpn_add)
2126 mpn_add (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2129 __GMPN_ADD (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2134 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add_1)
2135 #if ! defined (__GMP_FORCE_mpn_add_1)
2139 mpn_add_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2142 __GMPN_ADD_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2147 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_cmp)
2148 #if ! defined (__GMP_FORCE_mpn_cmp)
2152 mpn_cmp (mp_srcptr __gmp_xp, mp_srcptr __gmp_yp, mp_size_t __gmp_size) __GMP_NOTHROW
2155 __GMPN_CMP (__gmp_result, __gmp_xp, __gmp_yp, __gmp_size);
2156 return __gmp_result;
2160 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub)
2161 #if ! defined (__GMP_FORCE_mpn_sub)
2165 mpn_sub (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2168 __GMPN_SUB (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2173 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub_1)
2174 #if ! defined (__GMP_FORCE_mpn_sub_1)
2178 mpn_sub_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2181 __GMPN_SUB_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2186 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_neg)
2187 #if ! defined (__GMP_FORCE_mpn_neg)
2191 mpn_neg (mp_ptr __gmp_rp, mp_srcptr __gmp_up, mp_size_t __gmp_n)
2193 mp_limb_t __gmp_ul, __gmp_cy;
2196 __gmp_ul = *__gmp_up++;
2197 *__gmp_rp++ = -__gmp_ul - __gmp_cy;
2198 __gmp_cy |= __gmp_ul != 0;
2199 } while (--__gmp_n != 0);
2204 #if defined (__cplusplus)
2209 /* Allow faster testing for negative, zero, and positive. */
2210 #define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0)
2211 #define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0)
2212 #define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0)
2214 /* When using GCC, optimize certain common comparisons. */
2215 #if defined (__GNUC__) && __GNUC__ >= 2
2216 #define mpz_cmp_ui(Z,UI) \
2217 (__builtin_constant_p (UI) && (UI) == 0 \
2218 ? mpz_sgn (Z) : _mpz_cmp_ui (Z,UI))
2219 #define mpz_cmp_si(Z,SI) \
2220 (__builtin_constant_p ((SI) >= 0) && (SI) >= 0 \
2221 ? mpz_cmp_ui (Z, __GMP_CAST (unsigned long, SI)) \
2222 : _mpz_cmp_si (Z,SI))
2223 #define mpq_cmp_ui(Q,NUI,DUI) \
2224 (__builtin_constant_p (NUI) && (NUI) == 0 ? mpq_sgn (Q) \
2225 : __builtin_constant_p ((NUI) == (DUI)) && (NUI) == (DUI) \
2226 ? mpz_cmp (mpq_numref (Q), mpq_denref (Q)) \
2227 : _mpq_cmp_ui (Q,NUI,DUI))
2228 #define mpq_cmp_si(q,n,d) \
2229 (__builtin_constant_p ((n) >= 0) && (n) >= 0 \
2230 ? mpq_cmp_ui (q, __GMP_CAST (unsigned long, n), d) \
2231 : _mpq_cmp_si (q, n, d))
2233 #define mpz_cmp_ui(Z,UI) _mpz_cmp_ui (Z,UI)
2234 #define mpz_cmp_si(Z,UI) _mpz_cmp_si (Z,UI)
2235 #define mpq_cmp_ui(Q,NUI,DUI) _mpq_cmp_ui (Q,NUI,DUI)
2236 #define mpq_cmp_si(q,n,d) _mpq_cmp_si(q,n,d)
2240 /* Using "&" rather than "&&" means these can come out branch-free. Every
2241 mpz_t has at least one limb allocated, so fetching the low limb is always
2243 #define mpz_odd_p(z) (((z)->_mp_size != 0) & __GMP_CAST (int, (z)->_mp_d[0]))
2244 #define mpz_even_p(z) (! mpz_odd_p (z))
2247 /**************** C++ routines ****************/
2250 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpz_srcptr);
2251 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpq_srcptr);
2252 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpf_srcptr);
2253 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpz_ptr);
2254 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpq_ptr);
2255 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpf_ptr);
2259 /* Source-level compatibility with GMP 2 and earlier. */
2260 #define mpn_divmod(qp,np,nsize,dp,dsize) \
2261 mpn_divrem (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dp, dsize)
2263 /* Source-level compatibility with GMP 1. */
2264 #define mpz_mdiv mpz_fdiv_q
2265 #define mpz_mdivmod mpz_fdiv_qr
2266 #define mpz_mmod mpz_fdiv_r
2267 #define mpz_mdiv_ui mpz_fdiv_q_ui
2268 #define mpz_mdivmod_ui(q,r,n,d) \
2269 (((r) == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d))
2270 #define mpz_mmod_ui(r,n,d) \
2271 (((r) == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d))
2273 /* Useful synonyms, but not quite compatible with GMP 1. */
2274 #define mpz_div mpz_fdiv_q
2275 #define mpz_divmod mpz_fdiv_qr
2276 #define mpz_div_ui mpz_fdiv_q_ui
2277 #define mpz_divmod_ui mpz_fdiv_qr_ui
2278 #define mpz_div_2exp mpz_fdiv_q_2exp
2279 #define mpz_mod_2exp mpz_fdiv_r_2exp
2284 GMP_ERROR_UNSUPPORTED_ARGUMENT = 1,
2285 GMP_ERROR_DIVISION_BY_ZERO = 2,
2286 GMP_ERROR_SQRT_OF_NEGATIVE = 4,
2287 GMP_ERROR_INVALID_ARGUMENT = 8
2290 /* Define CC and CFLAGS which were used to build this version of GMP */
2291 #define __GMP_CC "@CC@"
2292 #define __GMP_CFLAGS "@CFLAGS@"
2294 /* Major version number is the value of __GNU_MP__ too, above and in mp.h. */
2295 #define __GNU_MP_VERSION 6
2296 #define __GNU_MP_VERSION_MINOR 0
2297 #define __GNU_MP_VERSION_PATCHLEVEL 0
2298 #define __GNU_MP_RELEASE (__GNU_MP_VERSION * 10000 + __GNU_MP_VERSION_MINOR * 100 + __GNU_MP_VERSION_PATCHLEVEL)
2301 #endif /* __GMP_H__ */