1 /* Definitions for GNU multiple precision functions. -*- mode: c -*-
3 Copyright 1991, 1993, 1994, 1995, 1996, 1997, 1999, 2000, 2001, 2002,
4 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012 Free
5 Software Foundation, Inc.
7 This file is part of the GNU MP Library.
9 The GNU MP Library is free software; you can redistribute it and/or modify
10 it under the terms of the GNU Lesser General Public License as published by
11 the Free Software Foundation; either version 3 of the License, or (at your
12 option) any later version.
14 The GNU MP Library is distributed in the hope that it will be useful, but
15 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
16 or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
17 License for more details.
19 You should have received a copy of the GNU Lesser General Public License
20 along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */
24 #if defined (__cplusplus)
25 #include <iosfwd> /* for std::istream, std::ostream, std::string */
30 /* Instantiated by configure. */
31 #if ! defined (__GMP_WITHIN_CONFIGURE)
32 #define __GMP_HAVE_HOST_CPU_FAMILY_power 0
33 #define __GMP_HAVE_HOST_CPU_FAMILY_powerpc 0
34 #define GMP_LIMB_BITS 32
35 #define GMP_NAIL_BITS 0
37 #define GMP_NUMB_BITS (GMP_LIMB_BITS - GMP_NAIL_BITS)
38 #define GMP_NUMB_MASK ((~ __GMP_CAST (mp_limb_t, 0)) >> GMP_NAIL_BITS)
39 #define GMP_NUMB_MAX GMP_NUMB_MASK
40 #define GMP_NAIL_MASK (~ GMP_NUMB_MASK)
43 /* The following (everything under ifndef __GNU_MP__) must be identical in
44 gmp.h and mp.h to allow both to be included in an application or during
49 #define __need_size_t /* tell gcc stddef.h we only want size_t */
50 #if defined (__cplusplus)
51 #include <cstddef> /* for size_t */
53 #include <stddef.h> /* for size_t */
57 /* Instantiated by configure. */
58 #if ! defined (__GMP_WITHIN_CONFIGURE)
59 /* #undef _LONG_LONG_LIMB */
60 #define __GMP_LIBGMP_DLL 0
64 /* __GMP_DECLSPEC supports Windows DLL versions of libgmp, and is empty in
65 all other circumstances.
67 When compiling objects for libgmp, __GMP_DECLSPEC is an export directive,
68 or when compiling for an application it's an import directive. The two
69 cases are differentiated by __GMP_WITHIN_GMP defined by the GMP Makefiles
70 (and not defined from an application).
72 __GMP_DECLSPEC_XX is similarly used for libgmpxx. __GMP_WITHIN_GMPXX
73 indicates when building libgmpxx, and in that case libgmpxx functions are
74 exports, but libgmp functions which might get called are imports.
76 Libtool DLL_EXPORT define is not used.
78 There's no attempt to support GMP built both static and DLL. Doing so
79 would mean applications would have to tell us which of the two is going
80 to be used when linking, and that seems very tedious and error prone if
81 using GMP by hand, and equally tedious from a package since autoconf and
82 automake don't give much help.
84 __GMP_DECLSPEC is required on all documented global functions and
85 variables, the various internals in gmp-impl.h etc can be left unadorned.
86 But internals used by the test programs or speed measuring programs
87 should have __GMP_DECLSPEC, and certainly constants or variables must
88 have it or the wrong address will be resolved.
90 In gcc __declspec can go at either the start or end of a prototype.
92 In Microsoft C __declspec must go at the start, or after the type like
93 void __declspec(...) *foo()". There's no __dllexport or anything to
94 guard against someone foolish #defining dllexport. _export used to be
95 available, but no longer.
97 In Borland C _export still exists, but needs to go after the type, like
98 "void _export foo();". Would have to change the __GMP_DECLSPEC syntax to
99 make use of that. Probably more trouble than it's worth. */
101 #if defined (__GNUC__)
102 #define __GMP_DECLSPEC_EXPORT __declspec(__dllexport__)
103 #define __GMP_DECLSPEC_IMPORT __declspec(__dllimport__)
105 #if defined (_MSC_VER) || defined (__BORLANDC__)
106 #define __GMP_DECLSPEC_EXPORT __declspec(dllexport)
107 #define __GMP_DECLSPEC_IMPORT __declspec(dllimport)
110 #define __GMP_DECLSPEC_EXPORT __export
111 #define __GMP_DECLSPEC_IMPORT __import
114 #define __GMP_DECLSPEC_EXPORT _Export
115 #define __GMP_DECLSPEC_IMPORT _Import
119 #ifdef __GMP_WITHIN_GMP
120 /* compiling to go into a DLL libgmp */
121 #define __GMP_DECLSPEC __GMP_DECLSPEC_EXPORT
123 /* compiling to go into an application which will link to a DLL libgmp */
124 #define __GMP_DECLSPEC __GMP_DECLSPEC_IMPORT
127 /* all other cases */
128 #define __GMP_DECLSPEC
132 #ifdef __GMP_SHORT_LIMB
133 typedef unsigned int mp_limb_t
;
134 typedef int mp_limb_signed_t
;
136 #ifdef _LONG_LONG_LIMB
137 typedef unsigned long long int mp_limb_t
;
138 typedef long long int mp_limb_signed_t
;
140 typedef unsigned long int mp_limb_t
;
141 typedef long int mp_limb_signed_t
;
144 typedef unsigned long int mp_bitcnt_t
;
146 /* For reference, note that the name __mpz_struct gets into C++ mangled
147 function names, which means although the "__" suggests an internal, we
148 must leave this name for binary compatibility. */
151 int _mp_alloc
; /* Number of *limbs* allocated and pointed
152 to by the _mp_d field. */
153 int _mp_size
; /* abs(_mp_size) is the number of limbs the
154 last field points to. If _mp_size is
155 negative this is a negative number. */
156 mp_limb_t
*_mp_d
; /* Pointer to the limbs. */
159 #endif /* __GNU_MP__ */
162 typedef __mpz_struct MP_INT
; /* gmp 1 source compatibility */
163 typedef __mpz_struct mpz_t
[1];
165 typedef mp_limb_t
* mp_ptr
;
166 typedef const mp_limb_t
* mp_srcptr
;
167 #if defined (_CRAY) && ! defined (_CRAYMPP)
168 /* plain `int' is much faster (48 bits) */
169 #define __GMP_MP_SIZE_T_INT 1
170 typedef int mp_size_t
;
171 typedef int mp_exp_t
;
173 #define __GMP_MP_SIZE_T_INT 0
174 typedef long int mp_size_t
;
175 typedef long int mp_exp_t
;
180 __mpz_struct _mp_num
;
181 __mpz_struct _mp_den
;
184 typedef __mpq_struct MP_RAT
; /* gmp 1 source compatibility */
185 typedef __mpq_struct mpq_t
[1];
189 int _mp_prec
; /* Max precision, in number of `mp_limb_t's.
190 Set by mpf_init and modified by
191 mpf_set_prec. The area pointed to by the
192 _mp_d field contains `prec' + 1 limbs. */
193 int _mp_size
; /* abs(_mp_size) is the number of limbs the
194 last field points to. If _mp_size is
195 negative this is a negative number. */
196 mp_exp_t _mp_exp
; /* Exponent, in the base of `mp_limb_t'. */
197 mp_limb_t
*_mp_d
; /* Pointer to the limbs. */
200 /* typedef __mpf_struct MP_FLOAT; */
201 typedef __mpf_struct mpf_t
[1];
203 /* Available random number generation algorithms. */
206 GMP_RAND_ALG_DEFAULT
= 0,
207 GMP_RAND_ALG_LC
= GMP_RAND_ALG_DEFAULT
/* Linear congruential. */
210 /* Random state struct. */
213 mpz_t _mp_seed
; /* _mp_d member points to state of the generator. */
214 gmp_randalg_t _mp_alg
; /* Currently unused. */
216 void *_mp_lc
; /* Pointer to function pointers structure. */
218 } __gmp_randstate_struct
;
219 typedef __gmp_randstate_struct gmp_randstate_t
[1];
221 /* Types for function declarations in gmp files. */
222 /* ??? Should not pollute user name space with these ??? */
223 typedef const __mpz_struct
*mpz_srcptr
;
224 typedef __mpz_struct
*mpz_ptr
;
225 typedef const __mpf_struct
*mpf_srcptr
;
226 typedef __mpf_struct
*mpf_ptr
;
227 typedef const __mpq_struct
*mpq_srcptr
;
228 typedef __mpq_struct
*mpq_ptr
;
231 /* This is not wanted in mp.h, so put it outside the __GNU_MP__ common
234 #ifdef __GMP_WITHIN_GMPXX
235 /* compiling to go into a DLL libgmpxx */
236 #define __GMP_DECLSPEC_XX __GMP_DECLSPEC_EXPORT
238 /* compiling to go into a application which will link to a DLL libgmpxx */
239 #define __GMP_DECLSPEC_XX __GMP_DECLSPEC_IMPORT
242 /* all other cases */
243 #define __GMP_DECLSPEC_XX
248 #define __MPN(x) __gmpn_##x
251 /* For reference, "defined(EOF)" cannot be used here. In g++ 2.95.4,
252 <iostream> defines EOF but not FILE. */
254 || defined (H_STDIO) \
255 || defined (_H_STDIO) /* AIX */ \
256 || defined (_STDIO_H) /* glibc, Sun, SCO */ \
257 || defined (_STDIO_H_) /* BSD, OSF */ \
258 || defined (__STDIO_H) /* Borland */ \
259 || defined (__STDIO_H__) /* IRIX */ \
260 || defined (_STDIO_INCLUDED) /* HPUX */ \
261 || defined (__dj_include_stdio_h_) /* DJGPP */ \
262 || defined (_FILE_DEFINED) /* Microsoft */ \
263 || defined (__STDIO__) /* Apple MPW MrC */ \
264 || defined (_MSL_STDIO_H) /* Metrowerks */ \
265 || defined (_STDIO_H_INCLUDED) /* QNX4 */ \
266 || defined (_ISO_STDIO_ISO_H) /* Sun C++ */ \
267 || defined (__STDIO_LOADED) /* VMS */
268 #define _GMP_H_HAVE_FILE 1
271 /* In ISO C, if a prototype involving "struct obstack *" is given without
272 that structure defined, then the struct is scoped down to just the
273 prototype, causing a conflict if it's subsequently defined for real. So
274 only give prototypes if we've got obstack.h. */
275 #if defined (_OBSTACK_H) /* glibc <obstack.h> */
276 #define _GMP_H_HAVE_OBSTACK 1
279 /* The prototypes for gmp_vprintf etc are provided only if va_list is
280 available, via an application having included <stdarg.h> or <varargs.h>.
281 Usually va_list is a typedef so can't be tested directly, but C99
282 specifies that va_start is a macro (and it was normally a macro on past
283 systems too), so look for that.
285 <stdio.h> will define some sort of va_list for vprintf and vfprintf, but
286 let's not bother trying to use that since it's not standard and since
287 application uses for gmp_vprintf etc will almost certainly require the
288 whole <stdarg.h> or <varargs.h> anyway. */
291 #define _GMP_H_HAVE_VA_LIST 1
294 /* Test for gcc >= maj.min, as per __GNUC_PREREQ in glibc */
295 #if defined (__GNUC__) && defined (__GNUC_MINOR__)
296 #define __GMP_GNUC_PREREQ(maj, min) \
297 ((__GNUC__ << 16) + __GNUC_MINOR__ >= ((maj) << 16) + (min))
299 #define __GMP_GNUC_PREREQ(maj, min) 0
302 /* "pure" is in gcc 2.96 and up, see "(gcc)Function Attributes". Basically
303 it means a function does nothing but examine its arguments and memory
304 (global or via arguments) to generate a return value, but changes nothing
305 and has no side-effects. __GMP_NO_ATTRIBUTE_CONST_PURE lets
306 tune/common.c etc turn this off when trying to write timing loops. */
307 #if __GMP_GNUC_PREREQ (2,96) && ! defined (__GMP_NO_ATTRIBUTE_CONST_PURE)
308 #define __GMP_ATTRIBUTE_PURE __attribute__ ((__pure__))
310 #define __GMP_ATTRIBUTE_PURE
314 /* __GMP_CAST allows us to use static_cast in C++, so our macros are clean
315 to "g++ -Wold-style-cast".
317 Casts in "extern inline" code within an extern "C" block don't induce
318 these warnings, so __GMP_CAST only needs to be used on documented
322 #define __GMP_CAST(type, expr) (static_cast<type> (expr))
324 #define __GMP_CAST(type, expr) ((type) (expr))
328 /* An empty "throw ()" means the function doesn't throw any C++ exceptions,
329 this can save some stack frame info in applications.
331 Currently it's given only on functions which never divide-by-zero etc,
332 don't allocate memory, and are expected to never need to allocate memory.
333 This leaves open the possibility of a C++ throw from a future GMP
336 mpz_set_ui etc are omitted to leave open the lazy allocation scheme
337 described in doc/tasks.html. mpz_get_d etc are omitted to leave open
338 exceptions for float overflows.
340 Note that __GMP_NOTHROW must be given on any inlines the same as on their
341 prototypes (for g++ at least, where they're used together). Note also
342 that g++ 3.0 demands that __GMP_NOTHROW is before other attributes like
343 __GMP_ATTRIBUTE_PURE. */
345 #if defined (__cplusplus)
346 #define __GMP_NOTHROW throw ()
348 #define __GMP_NOTHROW
352 /* PORTME: What other compilers have a useful "extern inline"? "static
353 inline" would be an acceptable substitute if the compiler (or linker)
354 discards unused statics. */
356 /* gcc has __inline__ in all modes, including strict ansi. Give a prototype
357 for an inline too, so as to correctly specify "dllimport" on windows, in
358 case the function is called rather than inlined.
359 GCC 4.3 and above with -std=c99 or -std=gnu99 implements ISO C99
360 inline semantics, unless -fgnu89-inline is used. */
362 #if (defined __GNUC_STDC_INLINE__) || \
363 (__GNUC__ == 4 && __GNUC_MINOR__ >= 2) || \
365 #define __GMP_EXTERN_INLINE extern __inline__ __attribute__ ((__gnu_inline__))
367 #define __GMP_INLINE_PROTOTYPES 1
370 /* DEC C (eg. version 5.9) supports "static __inline foo()", even in -std1
371 strict ANSI mode. Inlining is done even when not optimizing (ie. -O0
372 mode, which is the default), but an unnecessary local copy of foo is
373 emitted unless -O is used. "extern __inline" is accepted, but the
374 "extern" appears to be ignored, ie. it becomes a plain global function
375 but which is inlined within its file. Don't know if all old versions of
376 DEC C supported __inline, but as a start let's do the right thing for
379 #define __GMP_EXTERN_INLINE static __inline
382 /* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict
383 ANSI mode (__STDC__ is 1 in that mode). Inlining only actually takes
384 place under -O. Without -O "foo" seems to be emitted whether it's used
385 or not, which is wasteful. "extern inline foo()" isn't useful, the
386 "extern" is apparently ignored, so foo is inlined if possible but also
387 emitted as a global, which causes multiple definition errors when
388 building a shared libgmp. */
389 #ifdef __SCO_VERSION__
390 #if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
391 && ! defined (__GMP_EXTERN_INLINE)
392 #define __GMP_EXTERN_INLINE static inline
396 /* Microsoft's C compiler accepts __inline */
398 #define __GMP_EXTERN_INLINE __inline
401 /* Recent enough Sun C compilers want "inline" */
402 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x560 \
403 && ! defined (__GMP_EXTERN_INLINE)
404 #define __GMP_EXTERN_INLINE inline
407 /* Somewhat older Sun C compilers want "static inline" */
408 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x540 \
409 && ! defined (__GMP_EXTERN_INLINE)
410 #define __GMP_EXTERN_INLINE static inline
414 /* C++ always has "inline" and since it's a normal feature the linker should
415 discard duplicate non-inlined copies, or if it doesn't then that's a
416 problem for everyone, not just GMP. */
417 #if defined (__cplusplus) && ! defined (__GMP_EXTERN_INLINE)
418 #define __GMP_EXTERN_INLINE inline
421 /* Don't do any inlining within a configure run, since if the compiler ends
422 up emitting copies of the code into the object file it can end up
423 demanding the various support routines (like mpn_popcount) for linking,
424 making the "alloca" test and perhaps others fail. And on hppa ia64 a
425 pre-release gcc 3.2 was seen not respecting the "extern" in "extern
426 __inline__", triggering this problem too. */
427 #if defined (__GMP_WITHIN_CONFIGURE) && ! __GMP_WITHIN_CONFIGURE_INLINE
428 #undef __GMP_EXTERN_INLINE
431 /* By default, don't give a prototype when there's going to be an inline
432 version. Note in particular that Cray C++ objects to the combination of
433 prototype and inline. */
434 #ifdef __GMP_EXTERN_INLINE
435 #ifndef __GMP_INLINE_PROTOTYPES
436 #define __GMP_INLINE_PROTOTYPES 0
439 #define __GMP_INLINE_PROTOTYPES 1
443 #define __GMP_ABS(x) ((x) >= 0 ? (x) : -(x))
444 #define __GMP_MAX(h,i) ((h) > (i) ? (h) : (i))
446 /* __GMP_USHRT_MAX is not "~ (unsigned short) 0" because short is promoted
448 #define __GMP_UINT_MAX (~ (unsigned) 0)
449 #define __GMP_ULONG_MAX (~ (unsigned long) 0)
450 #define __GMP_USHRT_MAX ((unsigned short) ~0)
453 /* __builtin_expect is in gcc 3.0, and not in 2.95. */
454 #if __GMP_GNUC_PREREQ (3,0)
455 #define __GMP_LIKELY(cond) __builtin_expect ((cond) != 0, 1)
456 #define __GMP_UNLIKELY(cond) __builtin_expect ((cond) != 0, 0)
458 #define __GMP_LIKELY(cond) (cond)
459 #define __GMP_UNLIKELY(cond) (cond)
463 #define __GMP_CRAY_Pragma(str) _Pragma (str)
465 #define __GMP_CRAY_Pragma(str)
469 /* Allow direct user access to numerator and denominator of a mpq_t object. */
470 #define mpq_numref(Q) (&((Q)->_mp_num))
471 #define mpq_denref(Q) (&((Q)->_mp_den))
474 #if defined (__cplusplus)
479 #define mp_set_memory_functions __gmp_set_memory_functions
480 __GMP_DECLSPEC
void mp_set_memory_functions (void *(*) (size_t),
481 void *(*) (void *, size_t, size_t),
482 void (*) (void *, size_t)) __GMP_NOTHROW
;
484 #define mp_get_memory_functions __gmp_get_memory_functions
485 __GMP_DECLSPEC
void mp_get_memory_functions (void *(**) (size_t),
486 void *(**) (void *, size_t, size_t),
487 void (**) (void *, size_t)) __GMP_NOTHROW
;
489 #define mp_bits_per_limb __gmp_bits_per_limb
490 __GMP_DECLSPEC
extern const int mp_bits_per_limb
;
492 #define gmp_errno __gmp_errno
493 __GMP_DECLSPEC
extern int gmp_errno
;
495 #define gmp_version __gmp_version
496 __GMP_DECLSPEC
extern const char * const gmp_version
;
499 /**************** Random number routines. ****************/
502 #define gmp_randinit __gmp_randinit
503 __GMP_DECLSPEC
void gmp_randinit (gmp_randstate_t
, gmp_randalg_t
, ...);
505 #define gmp_randinit_default __gmp_randinit_default
506 __GMP_DECLSPEC
void gmp_randinit_default (gmp_randstate_t
);
508 #define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
509 __GMP_DECLSPEC
void gmp_randinit_lc_2exp (gmp_randstate_t
, mpz_srcptr
, unsigned long int, mp_bitcnt_t
);
511 #define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size
512 __GMP_DECLSPEC
int gmp_randinit_lc_2exp_size (gmp_randstate_t
, mp_bitcnt_t
);
514 #define gmp_randinit_mt __gmp_randinit_mt
515 __GMP_DECLSPEC
void gmp_randinit_mt (gmp_randstate_t
);
517 #define gmp_randinit_set __gmp_randinit_set
518 __GMP_DECLSPEC
void gmp_randinit_set (gmp_randstate_t
, const __gmp_randstate_struct
*);
520 #define gmp_randseed __gmp_randseed
521 __GMP_DECLSPEC
void gmp_randseed (gmp_randstate_t
, mpz_srcptr
);
523 #define gmp_randseed_ui __gmp_randseed_ui
524 __GMP_DECLSPEC
void gmp_randseed_ui (gmp_randstate_t
, unsigned long int);
526 #define gmp_randclear __gmp_randclear
527 __GMP_DECLSPEC
void gmp_randclear (gmp_randstate_t
);
529 #define gmp_urandomb_ui __gmp_urandomb_ui
530 __GMP_DECLSPEC
unsigned long gmp_urandomb_ui (gmp_randstate_t
, unsigned long);
532 #define gmp_urandomm_ui __gmp_urandomm_ui
533 __GMP_DECLSPEC
unsigned long gmp_urandomm_ui (gmp_randstate_t
, unsigned long);
536 /**************** Formatted output routines. ****************/
538 #define gmp_asprintf __gmp_asprintf
539 __GMP_DECLSPEC
int gmp_asprintf (char **, const char *, ...);
541 #define gmp_fprintf __gmp_fprintf
542 #ifdef _GMP_H_HAVE_FILE
543 __GMP_DECLSPEC
int gmp_fprintf (FILE *, const char *, ...);
546 #define gmp_obstack_printf __gmp_obstack_printf
547 #if defined (_GMP_H_HAVE_OBSTACK)
548 __GMP_DECLSPEC
int gmp_obstack_printf (struct obstack
*, const char *, ...);
551 #define gmp_obstack_vprintf __gmp_obstack_vprintf
552 #if defined (_GMP_H_HAVE_OBSTACK) && defined (_GMP_H_HAVE_VA_LIST)
553 __GMP_DECLSPEC
int gmp_obstack_vprintf (struct obstack
*, const char *, va_list);
556 #define gmp_printf __gmp_printf
557 __GMP_DECLSPEC
int gmp_printf (const char *, ...);
559 #define gmp_snprintf __gmp_snprintf
560 __GMP_DECLSPEC
int gmp_snprintf (char *, size_t, const char *, ...);
562 #define gmp_sprintf __gmp_sprintf
563 __GMP_DECLSPEC
int gmp_sprintf (char *, const char *, ...);
565 #define gmp_vasprintf __gmp_vasprintf
566 #if defined (_GMP_H_HAVE_VA_LIST)
567 __GMP_DECLSPEC
int gmp_vasprintf (char **, const char *, va_list);
570 #define gmp_vfprintf __gmp_vfprintf
571 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
572 __GMP_DECLSPEC
int gmp_vfprintf (FILE *, const char *, va_list);
575 #define gmp_vprintf __gmp_vprintf
576 #if defined (_GMP_H_HAVE_VA_LIST)
577 __GMP_DECLSPEC
int gmp_vprintf (const char *, va_list);
580 #define gmp_vsnprintf __gmp_vsnprintf
581 #if defined (_GMP_H_HAVE_VA_LIST)
582 __GMP_DECLSPEC
int gmp_vsnprintf (char *, size_t, const char *, va_list);
585 #define gmp_vsprintf __gmp_vsprintf
586 #if defined (_GMP_H_HAVE_VA_LIST)
587 __GMP_DECLSPEC
int gmp_vsprintf (char *, const char *, va_list);
591 /**************** Formatted input routines. ****************/
593 #define gmp_fscanf __gmp_fscanf
594 #ifdef _GMP_H_HAVE_FILE
595 __GMP_DECLSPEC
int gmp_fscanf (FILE *, const char *, ...);
598 #define gmp_scanf __gmp_scanf
599 __GMP_DECLSPEC
int gmp_scanf (const char *, ...);
601 #define gmp_sscanf __gmp_sscanf
602 __GMP_DECLSPEC
int gmp_sscanf (const char *, const char *, ...);
604 #define gmp_vfscanf __gmp_vfscanf
605 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
606 __GMP_DECLSPEC
int gmp_vfscanf (FILE *, const char *, va_list);
609 #define gmp_vscanf __gmp_vscanf
610 #if defined (_GMP_H_HAVE_VA_LIST)
611 __GMP_DECLSPEC
int gmp_vscanf (const char *, va_list);
614 #define gmp_vsscanf __gmp_vsscanf
615 #if defined (_GMP_H_HAVE_VA_LIST)
616 __GMP_DECLSPEC
int gmp_vsscanf (const char *, const char *, va_list);
620 /**************** Integer (i.e. Z) routines. ****************/
622 #define _mpz_realloc __gmpz_realloc
623 #define mpz_realloc __gmpz_realloc
624 __GMP_DECLSPEC
void *_mpz_realloc (mpz_ptr
, mp_size_t
);
626 #define mpz_abs __gmpz_abs
627 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs)
628 __GMP_DECLSPEC
void mpz_abs (mpz_ptr
, mpz_srcptr
);
631 #define mpz_add __gmpz_add
632 __GMP_DECLSPEC
void mpz_add (mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
634 #define mpz_add_ui __gmpz_add_ui
635 __GMP_DECLSPEC
void mpz_add_ui (mpz_ptr
, mpz_srcptr
, unsigned long int);
637 #define mpz_addmul __gmpz_addmul
638 __GMP_DECLSPEC
void mpz_addmul (mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
640 #define mpz_addmul_ui __gmpz_addmul_ui
641 __GMP_DECLSPEC
void mpz_addmul_ui (mpz_ptr
, mpz_srcptr
, unsigned long int);
643 #define mpz_and __gmpz_and
644 __GMP_DECLSPEC
void mpz_and (mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
646 #define mpz_array_init __gmpz_array_init
647 __GMP_DECLSPEC
void mpz_array_init (mpz_ptr
, mp_size_t
, mp_size_t
);
649 #define mpz_bin_ui __gmpz_bin_ui
650 __GMP_DECLSPEC
void mpz_bin_ui (mpz_ptr
, mpz_srcptr
, unsigned long int);
652 #define mpz_bin_uiui __gmpz_bin_uiui
653 __GMP_DECLSPEC
void mpz_bin_uiui (mpz_ptr
, unsigned long int, unsigned long int);
655 #define mpz_cdiv_q __gmpz_cdiv_q
656 __GMP_DECLSPEC
void mpz_cdiv_q (mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
658 #define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
659 __GMP_DECLSPEC
void mpz_cdiv_q_2exp (mpz_ptr
, mpz_srcptr
, mp_bitcnt_t
);
661 #define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
662 __GMP_DECLSPEC
unsigned long int mpz_cdiv_q_ui (mpz_ptr
, mpz_srcptr
, unsigned long int);
664 #define mpz_cdiv_qr __gmpz_cdiv_qr
665 __GMP_DECLSPEC
void mpz_cdiv_qr (mpz_ptr
, mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
667 #define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
668 __GMP_DECLSPEC
unsigned long int mpz_cdiv_qr_ui (mpz_ptr
, mpz_ptr
, mpz_srcptr
, unsigned long int);
670 #define mpz_cdiv_r __gmpz_cdiv_r
671 __GMP_DECLSPEC
void mpz_cdiv_r (mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
673 #define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
674 __GMP_DECLSPEC
void mpz_cdiv_r_2exp (mpz_ptr
, mpz_srcptr
, mp_bitcnt_t
);
676 #define mpz_cdiv_r_ui __gmpz_cdiv_r_ui
677 __GMP_DECLSPEC
unsigned long int mpz_cdiv_r_ui (mpz_ptr
, mpz_srcptr
, unsigned long int);
679 #define mpz_cdiv_ui __gmpz_cdiv_ui
680 __GMP_DECLSPEC
unsigned long int mpz_cdiv_ui (mpz_srcptr
, unsigned long int) __GMP_ATTRIBUTE_PURE
;
682 #define mpz_clear __gmpz_clear
683 __GMP_DECLSPEC
void mpz_clear (mpz_ptr
);
685 #define mpz_clears __gmpz_clears
686 __GMP_DECLSPEC
void mpz_clears (mpz_ptr
, ...);
688 #define mpz_clrbit __gmpz_clrbit
689 __GMP_DECLSPEC
void mpz_clrbit (mpz_ptr
, mp_bitcnt_t
);
691 #define mpz_cmp __gmpz_cmp
692 __GMP_DECLSPEC
int mpz_cmp (mpz_srcptr
, mpz_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
694 #define mpz_cmp_d __gmpz_cmp_d
695 __GMP_DECLSPEC
int mpz_cmp_d (mpz_srcptr
, double) __GMP_ATTRIBUTE_PURE
;
697 #define _mpz_cmp_si __gmpz_cmp_si
698 __GMP_DECLSPEC
int _mpz_cmp_si (mpz_srcptr
, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
700 #define _mpz_cmp_ui __gmpz_cmp_ui
701 __GMP_DECLSPEC
int _mpz_cmp_ui (mpz_srcptr
, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
703 #define mpz_cmpabs __gmpz_cmpabs
704 __GMP_DECLSPEC
int mpz_cmpabs (mpz_srcptr
, mpz_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
706 #define mpz_cmpabs_d __gmpz_cmpabs_d
707 __GMP_DECLSPEC
int mpz_cmpabs_d (mpz_srcptr
, double) __GMP_ATTRIBUTE_PURE
;
709 #define mpz_cmpabs_ui __gmpz_cmpabs_ui
710 __GMP_DECLSPEC
int mpz_cmpabs_ui (mpz_srcptr
, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
712 #define mpz_com __gmpz_com
713 __GMP_DECLSPEC
void mpz_com (mpz_ptr
, mpz_srcptr
);
715 #define mpz_combit __gmpz_combit
716 __GMP_DECLSPEC
void mpz_combit (mpz_ptr
, mp_bitcnt_t
);
718 #define mpz_congruent_p __gmpz_congruent_p
719 __GMP_DECLSPEC
int mpz_congruent_p (mpz_srcptr
, mpz_srcptr
, mpz_srcptr
) __GMP_ATTRIBUTE_PURE
;
721 #define mpz_congruent_2exp_p __gmpz_congruent_2exp_p
722 __GMP_DECLSPEC
int mpz_congruent_2exp_p (mpz_srcptr
, mpz_srcptr
, mp_bitcnt_t
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
724 #define mpz_congruent_ui_p __gmpz_congruent_ui_p
725 __GMP_DECLSPEC
int mpz_congruent_ui_p (mpz_srcptr
, unsigned long, unsigned long) __GMP_ATTRIBUTE_PURE
;
727 #define mpz_divexact __gmpz_divexact
728 __GMP_DECLSPEC
void mpz_divexact (mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
730 #define mpz_divexact_ui __gmpz_divexact_ui
731 __GMP_DECLSPEC
void mpz_divexact_ui (mpz_ptr
, mpz_srcptr
, unsigned long);
733 #define mpz_divisible_p __gmpz_divisible_p
734 __GMP_DECLSPEC
int mpz_divisible_p (mpz_srcptr
, mpz_srcptr
) __GMP_ATTRIBUTE_PURE
;
736 #define mpz_divisible_ui_p __gmpz_divisible_ui_p
737 __GMP_DECLSPEC
int mpz_divisible_ui_p (mpz_srcptr
, unsigned long) __GMP_ATTRIBUTE_PURE
;
739 #define mpz_divisible_2exp_p __gmpz_divisible_2exp_p
740 __GMP_DECLSPEC
int mpz_divisible_2exp_p (mpz_srcptr
, mp_bitcnt_t
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
742 #define mpz_dump __gmpz_dump
743 __GMP_DECLSPEC
void mpz_dump (mpz_srcptr
);
745 #define mpz_export __gmpz_export
746 __GMP_DECLSPEC
void *mpz_export (void *, size_t *, int, size_t, int, size_t, mpz_srcptr
);
748 #define mpz_fac_ui __gmpz_fac_ui
749 __GMP_DECLSPEC
void mpz_fac_ui (mpz_ptr
, unsigned long int);
751 #define mpz_2fac_ui __gmpz_2fac_ui
752 __GMP_DECLSPEC
void mpz_2fac_ui (mpz_ptr
, unsigned long int);
754 #define mpz_mfac_uiui __gmpz_mfac_uiui
755 __GMP_DECLSPEC
void mpz_mfac_uiui (mpz_ptr
, unsigned long int, unsigned long int);
757 #define mpz_primorial_ui __gmpz_primorial_ui
758 __GMP_DECLSPEC
void mpz_primorial_ui (mpz_ptr
, unsigned long int);
760 #define mpz_fdiv_q __gmpz_fdiv_q
761 __GMP_DECLSPEC
void mpz_fdiv_q (mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
763 #define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
764 __GMP_DECLSPEC
void mpz_fdiv_q_2exp (mpz_ptr
, mpz_srcptr
, mp_bitcnt_t
);
766 #define mpz_fdiv_q_ui __gmpz_fdiv_q_ui
767 __GMP_DECLSPEC
unsigned long int mpz_fdiv_q_ui (mpz_ptr
, mpz_srcptr
, unsigned long int);
769 #define mpz_fdiv_qr __gmpz_fdiv_qr
770 __GMP_DECLSPEC
void mpz_fdiv_qr (mpz_ptr
, mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
772 #define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui
773 __GMP_DECLSPEC
unsigned long int mpz_fdiv_qr_ui (mpz_ptr
, mpz_ptr
, mpz_srcptr
, unsigned long int);
775 #define mpz_fdiv_r __gmpz_fdiv_r
776 __GMP_DECLSPEC
void mpz_fdiv_r (mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
778 #define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
779 __GMP_DECLSPEC
void mpz_fdiv_r_2exp (mpz_ptr
, mpz_srcptr
, mp_bitcnt_t
);
781 #define mpz_fdiv_r_ui __gmpz_fdiv_r_ui
782 __GMP_DECLSPEC
unsigned long int mpz_fdiv_r_ui (mpz_ptr
, mpz_srcptr
, unsigned long int);
784 #define mpz_fdiv_ui __gmpz_fdiv_ui
785 __GMP_DECLSPEC
unsigned long int mpz_fdiv_ui (mpz_srcptr
, unsigned long int) __GMP_ATTRIBUTE_PURE
;
787 #define mpz_fib_ui __gmpz_fib_ui
788 __GMP_DECLSPEC
void mpz_fib_ui (mpz_ptr
, unsigned long int);
790 #define mpz_fib2_ui __gmpz_fib2_ui
791 __GMP_DECLSPEC
void mpz_fib2_ui (mpz_ptr
, mpz_ptr
, unsigned long int);
793 #define mpz_fits_sint_p __gmpz_fits_sint_p
794 __GMP_DECLSPEC
int mpz_fits_sint_p (mpz_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
796 #define mpz_fits_slong_p __gmpz_fits_slong_p
797 __GMP_DECLSPEC
int mpz_fits_slong_p (mpz_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
799 #define mpz_fits_sshort_p __gmpz_fits_sshort_p
800 __GMP_DECLSPEC
int mpz_fits_sshort_p (mpz_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
802 #define mpz_fits_uint_p __gmpz_fits_uint_p
803 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_uint_p)
804 __GMP_DECLSPEC
int mpz_fits_uint_p (mpz_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
807 #define mpz_fits_ulong_p __gmpz_fits_ulong_p
808 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ulong_p)
809 __GMP_DECLSPEC
int mpz_fits_ulong_p (mpz_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
812 #define mpz_fits_ushort_p __gmpz_fits_ushort_p
813 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ushort_p)
814 __GMP_DECLSPEC
int mpz_fits_ushort_p (mpz_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
817 #define mpz_gcd __gmpz_gcd
818 __GMP_DECLSPEC
void mpz_gcd (mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
820 #define mpz_gcd_ui __gmpz_gcd_ui
821 __GMP_DECLSPEC
unsigned long int mpz_gcd_ui (mpz_ptr
, mpz_srcptr
, unsigned long int);
823 #define mpz_gcdext __gmpz_gcdext
824 __GMP_DECLSPEC
void mpz_gcdext (mpz_ptr
, mpz_ptr
, mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
826 #define mpz_get_d __gmpz_get_d
827 __GMP_DECLSPEC
double mpz_get_d (mpz_srcptr
) __GMP_ATTRIBUTE_PURE
;
829 #define mpz_get_d_2exp __gmpz_get_d_2exp
830 __GMP_DECLSPEC
double mpz_get_d_2exp (signed long int *, mpz_srcptr
);
832 #define mpz_get_si __gmpz_get_si
833 __GMP_DECLSPEC
/* signed */ long int mpz_get_si (mpz_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
835 #define mpz_get_str __gmpz_get_str
836 __GMP_DECLSPEC
char *mpz_get_str (char *, int, mpz_srcptr
);
838 #define mpz_get_ui __gmpz_get_ui
839 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_get_ui)
840 __GMP_DECLSPEC
unsigned long int mpz_get_ui (mpz_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
843 #define mpz_getlimbn __gmpz_getlimbn
844 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_getlimbn)
845 __GMP_DECLSPEC mp_limb_t
mpz_getlimbn (mpz_srcptr
, mp_size_t
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
848 #define mpz_hamdist __gmpz_hamdist
849 __GMP_DECLSPEC mp_bitcnt_t
mpz_hamdist (mpz_srcptr
, mpz_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
851 #define mpz_import __gmpz_import
852 __GMP_DECLSPEC
void mpz_import (mpz_ptr
, size_t, int, size_t, int, size_t, const void *);
854 #define mpz_init __gmpz_init
855 __GMP_DECLSPEC
void mpz_init (mpz_ptr
);
857 #define mpz_init2 __gmpz_init2
858 __GMP_DECLSPEC
void mpz_init2 (mpz_ptr
, mp_bitcnt_t
);
860 #define mpz_inits __gmpz_inits
861 __GMP_DECLSPEC
void mpz_inits (mpz_ptr
, ...);
863 #define mpz_init_set __gmpz_init_set
864 __GMP_DECLSPEC
void mpz_init_set (mpz_ptr
, mpz_srcptr
);
866 #define mpz_init_set_d __gmpz_init_set_d
867 __GMP_DECLSPEC
void mpz_init_set_d (mpz_ptr
, double);
869 #define mpz_init_set_si __gmpz_init_set_si
870 __GMP_DECLSPEC
void mpz_init_set_si (mpz_ptr
, signed long int);
872 #define mpz_init_set_str __gmpz_init_set_str
873 __GMP_DECLSPEC
int mpz_init_set_str (mpz_ptr
, const char *, int);
875 #define mpz_init_set_ui __gmpz_init_set_ui
876 __GMP_DECLSPEC
void mpz_init_set_ui (mpz_ptr
, unsigned long int);
878 #define mpz_inp_raw __gmpz_inp_raw
879 #ifdef _GMP_H_HAVE_FILE
880 __GMP_DECLSPEC
size_t mpz_inp_raw (mpz_ptr
, FILE *);
883 #define mpz_inp_str __gmpz_inp_str
884 #ifdef _GMP_H_HAVE_FILE
885 __GMP_DECLSPEC
size_t mpz_inp_str (mpz_ptr
, FILE *, int);
888 #define mpz_invert __gmpz_invert
889 __GMP_DECLSPEC
int mpz_invert (mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
891 #define mpz_ior __gmpz_ior
892 __GMP_DECLSPEC
void mpz_ior (mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
894 #define mpz_jacobi __gmpz_jacobi
895 __GMP_DECLSPEC
int mpz_jacobi (mpz_srcptr
, mpz_srcptr
) __GMP_ATTRIBUTE_PURE
;
897 #define mpz_kronecker mpz_jacobi /* alias */
899 #define mpz_kronecker_si __gmpz_kronecker_si
900 __GMP_DECLSPEC
int mpz_kronecker_si (mpz_srcptr
, long) __GMP_ATTRIBUTE_PURE
;
902 #define mpz_kronecker_ui __gmpz_kronecker_ui
903 __GMP_DECLSPEC
int mpz_kronecker_ui (mpz_srcptr
, unsigned long) __GMP_ATTRIBUTE_PURE
;
905 #define mpz_si_kronecker __gmpz_si_kronecker
906 __GMP_DECLSPEC
int mpz_si_kronecker (long, mpz_srcptr
) __GMP_ATTRIBUTE_PURE
;
908 #define mpz_ui_kronecker __gmpz_ui_kronecker
909 __GMP_DECLSPEC
int mpz_ui_kronecker (unsigned long, mpz_srcptr
) __GMP_ATTRIBUTE_PURE
;
911 #define mpz_lcm __gmpz_lcm
912 __GMP_DECLSPEC
void mpz_lcm (mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
914 #define mpz_lcm_ui __gmpz_lcm_ui
915 __GMP_DECLSPEC
void mpz_lcm_ui (mpz_ptr
, mpz_srcptr
, unsigned long);
917 #define mpz_legendre mpz_jacobi /* alias */
919 #define mpz_lucnum_ui __gmpz_lucnum_ui
920 __GMP_DECLSPEC
void mpz_lucnum_ui (mpz_ptr
, unsigned long int);
922 #define mpz_lucnum2_ui __gmpz_lucnum2_ui
923 __GMP_DECLSPEC
void mpz_lucnum2_ui (mpz_ptr
, mpz_ptr
, unsigned long int);
925 #define mpz_millerrabin __gmpz_millerrabin
926 __GMP_DECLSPEC
int mpz_millerrabin (mpz_srcptr
, int) __GMP_ATTRIBUTE_PURE
;
928 #define mpz_mod __gmpz_mod
929 __GMP_DECLSPEC
void mpz_mod (mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
931 #define mpz_mod_ui mpz_fdiv_r_ui /* same as fdiv_r because divisor unsigned */
933 #define mpz_mul __gmpz_mul
934 __GMP_DECLSPEC
void mpz_mul (mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
936 #define mpz_mul_2exp __gmpz_mul_2exp
937 __GMP_DECLSPEC
void mpz_mul_2exp (mpz_ptr
, mpz_srcptr
, mp_bitcnt_t
);
939 #define mpz_mul_si __gmpz_mul_si
940 __GMP_DECLSPEC
void mpz_mul_si (mpz_ptr
, mpz_srcptr
, long int);
942 #define mpz_mul_ui __gmpz_mul_ui
943 __GMP_DECLSPEC
void mpz_mul_ui (mpz_ptr
, mpz_srcptr
, unsigned long int);
945 #define mpz_neg __gmpz_neg
946 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_neg)
947 __GMP_DECLSPEC
void mpz_neg (mpz_ptr
, mpz_srcptr
);
950 #define mpz_nextprime __gmpz_nextprime
951 __GMP_DECLSPEC
void mpz_nextprime (mpz_ptr
, mpz_srcptr
);
953 #define mpz_out_raw __gmpz_out_raw
954 #ifdef _GMP_H_HAVE_FILE
955 __GMP_DECLSPEC
size_t mpz_out_raw (FILE *, mpz_srcptr
);
958 #define mpz_out_str __gmpz_out_str
959 #ifdef _GMP_H_HAVE_FILE
960 __GMP_DECLSPEC
size_t mpz_out_str (FILE *, int, mpz_srcptr
);
963 #define mpz_perfect_power_p __gmpz_perfect_power_p
964 __GMP_DECLSPEC
int mpz_perfect_power_p (mpz_srcptr
) __GMP_ATTRIBUTE_PURE
;
966 #define mpz_perfect_square_p __gmpz_perfect_square_p
967 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_perfect_square_p)
968 __GMP_DECLSPEC
int mpz_perfect_square_p (mpz_srcptr
) __GMP_ATTRIBUTE_PURE
;
971 #define mpz_popcount __gmpz_popcount
972 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_popcount)
973 __GMP_DECLSPEC mp_bitcnt_t
mpz_popcount (mpz_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
976 #define mpz_pow_ui __gmpz_pow_ui
977 __GMP_DECLSPEC
void mpz_pow_ui (mpz_ptr
, mpz_srcptr
, unsigned long int);
979 #define mpz_powm __gmpz_powm
980 __GMP_DECLSPEC
void mpz_powm (mpz_ptr
, mpz_srcptr
, mpz_srcptr
, mpz_srcptr
);
982 #define mpz_powm_sec __gmpz_powm_sec
983 __GMP_DECLSPEC
void mpz_powm_sec (mpz_ptr
, mpz_srcptr
, mpz_srcptr
, mpz_srcptr
);
985 #define mpz_powm_ui __gmpz_powm_ui
986 __GMP_DECLSPEC
void mpz_powm_ui (mpz_ptr
, mpz_srcptr
, unsigned long int, mpz_srcptr
);
988 #define mpz_probab_prime_p __gmpz_probab_prime_p
989 __GMP_DECLSPEC
int mpz_probab_prime_p (mpz_srcptr
, int) __GMP_ATTRIBUTE_PURE
;
991 #define mpz_random __gmpz_random
992 __GMP_DECLSPEC
void mpz_random (mpz_ptr
, mp_size_t
);
994 #define mpz_random2 __gmpz_random2
995 __GMP_DECLSPEC
void mpz_random2 (mpz_ptr
, mp_size_t
);
997 #define mpz_realloc2 __gmpz_realloc2
998 __GMP_DECLSPEC
void mpz_realloc2 (mpz_ptr
, mp_bitcnt_t
);
1000 #define mpz_remove __gmpz_remove
1001 __GMP_DECLSPEC mp_bitcnt_t
mpz_remove (mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
1003 #define mpz_root __gmpz_root
1004 __GMP_DECLSPEC
int mpz_root (mpz_ptr
, mpz_srcptr
, unsigned long int);
1006 #define mpz_rootrem __gmpz_rootrem
1007 __GMP_DECLSPEC
void mpz_rootrem (mpz_ptr
, mpz_ptr
, mpz_srcptr
, unsigned long int);
1009 #define mpz_rrandomb __gmpz_rrandomb
1010 __GMP_DECLSPEC
void mpz_rrandomb (mpz_ptr
, gmp_randstate_t
, mp_bitcnt_t
);
1012 #define mpz_scan0 __gmpz_scan0
1013 __GMP_DECLSPEC mp_bitcnt_t
mpz_scan0 (mpz_srcptr
, mp_bitcnt_t
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1015 #define mpz_scan1 __gmpz_scan1
1016 __GMP_DECLSPEC mp_bitcnt_t
mpz_scan1 (mpz_srcptr
, mp_bitcnt_t
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1018 #define mpz_set __gmpz_set
1019 __GMP_DECLSPEC
void mpz_set (mpz_ptr
, mpz_srcptr
);
1021 #define mpz_set_d __gmpz_set_d
1022 __GMP_DECLSPEC
void mpz_set_d (mpz_ptr
, double);
1024 #define mpz_set_f __gmpz_set_f
1025 __GMP_DECLSPEC
void mpz_set_f (mpz_ptr
, mpf_srcptr
);
1027 #define mpz_set_q __gmpz_set_q
1028 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_set_q)
1029 __GMP_DECLSPEC
void mpz_set_q (mpz_ptr
, mpq_srcptr
);
1032 #define mpz_set_si __gmpz_set_si
1033 __GMP_DECLSPEC
void mpz_set_si (mpz_ptr
, signed long int);
1035 #define mpz_set_str __gmpz_set_str
1036 __GMP_DECLSPEC
int mpz_set_str (mpz_ptr
, const char *, int);
1038 #define mpz_set_ui __gmpz_set_ui
1039 __GMP_DECLSPEC
void mpz_set_ui (mpz_ptr
, unsigned long int);
1041 #define mpz_setbit __gmpz_setbit
1042 __GMP_DECLSPEC
void mpz_setbit (mpz_ptr
, mp_bitcnt_t
);
1044 #define mpz_size __gmpz_size
1045 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_size)
1046 __GMP_DECLSPEC
size_t mpz_size (mpz_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1049 #define mpz_sizeinbase __gmpz_sizeinbase
1050 __GMP_DECLSPEC
size_t mpz_sizeinbase (mpz_srcptr
, int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1052 #define mpz_sqrt __gmpz_sqrt
1053 __GMP_DECLSPEC
void mpz_sqrt (mpz_ptr
, mpz_srcptr
);
1055 #define mpz_sqrtrem __gmpz_sqrtrem
1056 __GMP_DECLSPEC
void mpz_sqrtrem (mpz_ptr
, mpz_ptr
, mpz_srcptr
);
1058 #define mpz_sub __gmpz_sub
1059 __GMP_DECLSPEC
void mpz_sub (mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
1061 #define mpz_sub_ui __gmpz_sub_ui
1062 __GMP_DECLSPEC
void mpz_sub_ui (mpz_ptr
, mpz_srcptr
, unsigned long int);
1064 #define mpz_ui_sub __gmpz_ui_sub
1065 __GMP_DECLSPEC
void mpz_ui_sub (mpz_ptr
, unsigned long int, mpz_srcptr
);
1067 #define mpz_submul __gmpz_submul
1068 __GMP_DECLSPEC
void mpz_submul (mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
1070 #define mpz_submul_ui __gmpz_submul_ui
1071 __GMP_DECLSPEC
void mpz_submul_ui (mpz_ptr
, mpz_srcptr
, unsigned long int);
1073 #define mpz_swap __gmpz_swap
1074 __GMP_DECLSPEC
void mpz_swap (mpz_ptr
, mpz_ptr
) __GMP_NOTHROW
;
1076 #define mpz_tdiv_ui __gmpz_tdiv_ui
1077 __GMP_DECLSPEC
unsigned long int mpz_tdiv_ui (mpz_srcptr
, unsigned long int) __GMP_ATTRIBUTE_PURE
;
1079 #define mpz_tdiv_q __gmpz_tdiv_q
1080 __GMP_DECLSPEC
void mpz_tdiv_q (mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
1082 #define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp
1083 __GMP_DECLSPEC
void mpz_tdiv_q_2exp (mpz_ptr
, mpz_srcptr
, mp_bitcnt_t
);
1085 #define mpz_tdiv_q_ui __gmpz_tdiv_q_ui
1086 __GMP_DECLSPEC
unsigned long int mpz_tdiv_q_ui (mpz_ptr
, mpz_srcptr
, unsigned long int);
1088 #define mpz_tdiv_qr __gmpz_tdiv_qr
1089 __GMP_DECLSPEC
void mpz_tdiv_qr (mpz_ptr
, mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
1091 #define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui
1092 __GMP_DECLSPEC
unsigned long int mpz_tdiv_qr_ui (mpz_ptr
, mpz_ptr
, mpz_srcptr
, unsigned long int);
1094 #define mpz_tdiv_r __gmpz_tdiv_r
1095 __GMP_DECLSPEC
void mpz_tdiv_r (mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
1097 #define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp
1098 __GMP_DECLSPEC
void mpz_tdiv_r_2exp (mpz_ptr
, mpz_srcptr
, mp_bitcnt_t
);
1100 #define mpz_tdiv_r_ui __gmpz_tdiv_r_ui
1101 __GMP_DECLSPEC
unsigned long int mpz_tdiv_r_ui (mpz_ptr
, mpz_srcptr
, unsigned long int);
1103 #define mpz_tstbit __gmpz_tstbit
1104 __GMP_DECLSPEC
int mpz_tstbit (mpz_srcptr
, mp_bitcnt_t
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1106 #define mpz_ui_pow_ui __gmpz_ui_pow_ui
1107 __GMP_DECLSPEC
void mpz_ui_pow_ui (mpz_ptr
, unsigned long int, unsigned long int);
1109 #define mpz_urandomb __gmpz_urandomb
1110 __GMP_DECLSPEC
void mpz_urandomb (mpz_ptr
, gmp_randstate_t
, mp_bitcnt_t
);
1112 #define mpz_urandomm __gmpz_urandomm
1113 __GMP_DECLSPEC
void mpz_urandomm (mpz_ptr
, gmp_randstate_t
, mpz_srcptr
);
1115 #define mpz_xor __gmpz_xor
1116 #define mpz_eor __gmpz_xor
1117 __GMP_DECLSPEC
void mpz_xor (mpz_ptr
, mpz_srcptr
, mpz_srcptr
);
1120 /**************** Rational (i.e. Q) routines. ****************/
1122 #define mpq_abs __gmpq_abs
1123 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_abs)
1124 __GMP_DECLSPEC
void mpq_abs (mpq_ptr
, mpq_srcptr
);
1127 #define mpq_add __gmpq_add
1128 __GMP_DECLSPEC
void mpq_add (mpq_ptr
, mpq_srcptr
, mpq_srcptr
);
1130 #define mpq_canonicalize __gmpq_canonicalize
1131 __GMP_DECLSPEC
void mpq_canonicalize (mpq_ptr
);
1133 #define mpq_clear __gmpq_clear
1134 __GMP_DECLSPEC
void mpq_clear (mpq_ptr
);
1136 #define mpq_clears __gmpq_clears
1137 __GMP_DECLSPEC
void mpq_clears (mpq_ptr
, ...);
1139 #define mpq_cmp __gmpq_cmp
1140 __GMP_DECLSPEC
int mpq_cmp (mpq_srcptr
, mpq_srcptr
) __GMP_ATTRIBUTE_PURE
;
1142 #define _mpq_cmp_si __gmpq_cmp_si
1143 __GMP_DECLSPEC
int _mpq_cmp_si (mpq_srcptr
, long, unsigned long) __GMP_ATTRIBUTE_PURE
;
1145 #define _mpq_cmp_ui __gmpq_cmp_ui
1146 __GMP_DECLSPEC
int _mpq_cmp_ui (mpq_srcptr
, unsigned long int, unsigned long int) __GMP_ATTRIBUTE_PURE
;
1148 #define mpq_div __gmpq_div
1149 __GMP_DECLSPEC
void mpq_div (mpq_ptr
, mpq_srcptr
, mpq_srcptr
);
1151 #define mpq_div_2exp __gmpq_div_2exp
1152 __GMP_DECLSPEC
void mpq_div_2exp (mpq_ptr
, mpq_srcptr
, mp_bitcnt_t
);
1154 #define mpq_equal __gmpq_equal
1155 __GMP_DECLSPEC
int mpq_equal (mpq_srcptr
, mpq_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1157 #define mpq_get_num __gmpq_get_num
1158 __GMP_DECLSPEC
void mpq_get_num (mpz_ptr
, mpq_srcptr
);
1160 #define mpq_get_den __gmpq_get_den
1161 __GMP_DECLSPEC
void mpq_get_den (mpz_ptr
, mpq_srcptr
);
1163 #define mpq_get_d __gmpq_get_d
1164 __GMP_DECLSPEC
double mpq_get_d (mpq_srcptr
) __GMP_ATTRIBUTE_PURE
;
1166 #define mpq_get_str __gmpq_get_str
1167 __GMP_DECLSPEC
char *mpq_get_str (char *, int, mpq_srcptr
);
1169 #define mpq_init __gmpq_init
1170 __GMP_DECLSPEC
void mpq_init (mpq_ptr
);
1172 #define mpq_inits __gmpq_inits
1173 __GMP_DECLSPEC
void mpq_inits (mpq_ptr
, ...);
1175 #define mpq_inp_str __gmpq_inp_str
1176 #ifdef _GMP_H_HAVE_FILE
1177 __GMP_DECLSPEC
size_t mpq_inp_str (mpq_ptr
, FILE *, int);
1180 #define mpq_inv __gmpq_inv
1181 __GMP_DECLSPEC
void mpq_inv (mpq_ptr
, mpq_srcptr
);
1183 #define mpq_mul __gmpq_mul
1184 __GMP_DECLSPEC
void mpq_mul (mpq_ptr
, mpq_srcptr
, mpq_srcptr
);
1186 #define mpq_mul_2exp __gmpq_mul_2exp
1187 __GMP_DECLSPEC
void mpq_mul_2exp (mpq_ptr
, mpq_srcptr
, mp_bitcnt_t
);
1189 #define mpq_neg __gmpq_neg
1190 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_neg)
1191 __GMP_DECLSPEC
void mpq_neg (mpq_ptr
, mpq_srcptr
);
1194 #define mpq_out_str __gmpq_out_str
1195 #ifdef _GMP_H_HAVE_FILE
1196 __GMP_DECLSPEC
size_t mpq_out_str (FILE *, int, mpq_srcptr
);
1199 #define mpq_set __gmpq_set
1200 __GMP_DECLSPEC
void mpq_set (mpq_ptr
, mpq_srcptr
);
1202 #define mpq_set_d __gmpq_set_d
1203 __GMP_DECLSPEC
void mpq_set_d (mpq_ptr
, double);
1205 #define mpq_set_den __gmpq_set_den
1206 __GMP_DECLSPEC
void mpq_set_den (mpq_ptr
, mpz_srcptr
);
1208 #define mpq_set_f __gmpq_set_f
1209 __GMP_DECLSPEC
void mpq_set_f (mpq_ptr
, mpf_srcptr
);
1211 #define mpq_set_num __gmpq_set_num
1212 __GMP_DECLSPEC
void mpq_set_num (mpq_ptr
, mpz_srcptr
);
1214 #define mpq_set_si __gmpq_set_si
1215 __GMP_DECLSPEC
void mpq_set_si (mpq_ptr
, signed long int, unsigned long int);
1217 #define mpq_set_str __gmpq_set_str
1218 __GMP_DECLSPEC
int mpq_set_str (mpq_ptr
, const char *, int);
1220 #define mpq_set_ui __gmpq_set_ui
1221 __GMP_DECLSPEC
void mpq_set_ui (mpq_ptr
, unsigned long int, unsigned long int);
1223 #define mpq_set_z __gmpq_set_z
1224 __GMP_DECLSPEC
void mpq_set_z (mpq_ptr
, mpz_srcptr
);
1226 #define mpq_sub __gmpq_sub
1227 __GMP_DECLSPEC
void mpq_sub (mpq_ptr
, mpq_srcptr
, mpq_srcptr
);
1229 #define mpq_swap __gmpq_swap
1230 __GMP_DECLSPEC
void mpq_swap (mpq_ptr
, mpq_ptr
) __GMP_NOTHROW
;
1233 /**************** Float (i.e. F) routines. ****************/
1235 #define mpf_abs __gmpf_abs
1236 __GMP_DECLSPEC
void mpf_abs (mpf_ptr
, mpf_srcptr
);
1238 #define mpf_add __gmpf_add
1239 __GMP_DECLSPEC
void mpf_add (mpf_ptr
, mpf_srcptr
, mpf_srcptr
);
1241 #define mpf_add_ui __gmpf_add_ui
1242 __GMP_DECLSPEC
void mpf_add_ui (mpf_ptr
, mpf_srcptr
, unsigned long int);
1243 #define mpf_ceil __gmpf_ceil
1244 __GMP_DECLSPEC
void mpf_ceil (mpf_ptr
, mpf_srcptr
);
1246 #define mpf_clear __gmpf_clear
1247 __GMP_DECLSPEC
void mpf_clear (mpf_ptr
);
1249 #define mpf_clears __gmpf_clears
1250 __GMP_DECLSPEC
void mpf_clears (mpf_ptr
, ...);
1252 #define mpf_cmp __gmpf_cmp
1253 __GMP_DECLSPEC
int mpf_cmp (mpf_srcptr
, mpf_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1255 #define mpf_cmp_d __gmpf_cmp_d
1256 __GMP_DECLSPEC
int mpf_cmp_d (mpf_srcptr
, double) __GMP_ATTRIBUTE_PURE
;
1258 #define mpf_cmp_si __gmpf_cmp_si
1259 __GMP_DECLSPEC
int mpf_cmp_si (mpf_srcptr
, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1261 #define mpf_cmp_ui __gmpf_cmp_ui
1262 __GMP_DECLSPEC
int mpf_cmp_ui (mpf_srcptr
, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1264 #define mpf_div __gmpf_div
1265 __GMP_DECLSPEC
void mpf_div (mpf_ptr
, mpf_srcptr
, mpf_srcptr
);
1267 #define mpf_div_2exp __gmpf_div_2exp
1268 __GMP_DECLSPEC
void mpf_div_2exp (mpf_ptr
, mpf_srcptr
, mp_bitcnt_t
);
1270 #define mpf_div_ui __gmpf_div_ui
1271 __GMP_DECLSPEC
void mpf_div_ui (mpf_ptr
, mpf_srcptr
, unsigned long int);
1273 #define mpf_dump __gmpf_dump
1274 __GMP_DECLSPEC
void mpf_dump (mpf_srcptr
);
1276 #define mpf_eq __gmpf_eq
1277 __GMP_DECLSPEC
int mpf_eq (mpf_srcptr
, mpf_srcptr
, mp_bitcnt_t
) __GMP_ATTRIBUTE_PURE
;
1279 #define mpf_fits_sint_p __gmpf_fits_sint_p
1280 __GMP_DECLSPEC
int mpf_fits_sint_p (mpf_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1282 #define mpf_fits_slong_p __gmpf_fits_slong_p
1283 __GMP_DECLSPEC
int mpf_fits_slong_p (mpf_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1285 #define mpf_fits_sshort_p __gmpf_fits_sshort_p
1286 __GMP_DECLSPEC
int mpf_fits_sshort_p (mpf_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1288 #define mpf_fits_uint_p __gmpf_fits_uint_p
1289 __GMP_DECLSPEC
int mpf_fits_uint_p (mpf_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1291 #define mpf_fits_ulong_p __gmpf_fits_ulong_p
1292 __GMP_DECLSPEC
int mpf_fits_ulong_p (mpf_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1294 #define mpf_fits_ushort_p __gmpf_fits_ushort_p
1295 __GMP_DECLSPEC
int mpf_fits_ushort_p (mpf_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1297 #define mpf_floor __gmpf_floor
1298 __GMP_DECLSPEC
void mpf_floor (mpf_ptr
, mpf_srcptr
);
1300 #define mpf_get_d __gmpf_get_d
1301 __GMP_DECLSPEC
double mpf_get_d (mpf_srcptr
) __GMP_ATTRIBUTE_PURE
;
1303 #define mpf_get_d_2exp __gmpf_get_d_2exp
1304 __GMP_DECLSPEC
double mpf_get_d_2exp (signed long int *, mpf_srcptr
);
1306 #define mpf_get_default_prec __gmpf_get_default_prec
1307 __GMP_DECLSPEC mp_bitcnt_t
mpf_get_default_prec (void) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1309 #define mpf_get_prec __gmpf_get_prec
1310 __GMP_DECLSPEC mp_bitcnt_t
mpf_get_prec (mpf_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1312 #define mpf_get_si __gmpf_get_si
1313 __GMP_DECLSPEC
long mpf_get_si (mpf_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1315 #define mpf_get_str __gmpf_get_str
1316 __GMP_DECLSPEC
char *mpf_get_str (char *, mp_exp_t
*, int, size_t, mpf_srcptr
);
1318 #define mpf_get_ui __gmpf_get_ui
1319 __GMP_DECLSPEC
unsigned long mpf_get_ui (mpf_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1321 #define mpf_init __gmpf_init
1322 __GMP_DECLSPEC
void mpf_init (mpf_ptr
);
1324 #define mpf_init2 __gmpf_init2
1325 __GMP_DECLSPEC
void mpf_init2 (mpf_ptr
, mp_bitcnt_t
);
1327 #define mpf_inits __gmpf_inits
1328 __GMP_DECLSPEC
void mpf_inits (mpf_ptr
, ...);
1330 #define mpf_init_set __gmpf_init_set
1331 __GMP_DECLSPEC
void mpf_init_set (mpf_ptr
, mpf_srcptr
);
1333 #define mpf_init_set_d __gmpf_init_set_d
1334 __GMP_DECLSPEC
void mpf_init_set_d (mpf_ptr
, double);
1336 #define mpf_init_set_si __gmpf_init_set_si
1337 __GMP_DECLSPEC
void mpf_init_set_si (mpf_ptr
, signed long int);
1339 #define mpf_init_set_str __gmpf_init_set_str
1340 __GMP_DECLSPEC
int mpf_init_set_str (mpf_ptr
, const char *, int);
1342 #define mpf_init_set_ui __gmpf_init_set_ui
1343 __GMP_DECLSPEC
void mpf_init_set_ui (mpf_ptr
, unsigned long int);
1345 #define mpf_inp_str __gmpf_inp_str
1346 #ifdef _GMP_H_HAVE_FILE
1347 __GMP_DECLSPEC
size_t mpf_inp_str (mpf_ptr
, FILE *, int);
1350 #define mpf_integer_p __gmpf_integer_p
1351 __GMP_DECLSPEC
int mpf_integer_p (mpf_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1353 #define mpf_mul __gmpf_mul
1354 __GMP_DECLSPEC
void mpf_mul (mpf_ptr
, mpf_srcptr
, mpf_srcptr
);
1356 #define mpf_mul_2exp __gmpf_mul_2exp
1357 __GMP_DECLSPEC
void mpf_mul_2exp (mpf_ptr
, mpf_srcptr
, mp_bitcnt_t
);
1359 #define mpf_mul_ui __gmpf_mul_ui
1360 __GMP_DECLSPEC
void mpf_mul_ui (mpf_ptr
, mpf_srcptr
, unsigned long int);
1362 #define mpf_neg __gmpf_neg
1363 __GMP_DECLSPEC
void mpf_neg (mpf_ptr
, mpf_srcptr
);
1365 #define mpf_out_str __gmpf_out_str
1366 #ifdef _GMP_H_HAVE_FILE
1367 __GMP_DECLSPEC
size_t mpf_out_str (FILE *, int, size_t, mpf_srcptr
);
1370 #define mpf_pow_ui __gmpf_pow_ui
1371 __GMP_DECLSPEC
void mpf_pow_ui (mpf_ptr
, mpf_srcptr
, unsigned long int);
1373 #define mpf_random2 __gmpf_random2
1374 __GMP_DECLSPEC
void mpf_random2 (mpf_ptr
, mp_size_t
, mp_exp_t
);
1376 #define mpf_reldiff __gmpf_reldiff
1377 __GMP_DECLSPEC
void mpf_reldiff (mpf_ptr
, mpf_srcptr
, mpf_srcptr
);
1379 #define mpf_set __gmpf_set
1380 __GMP_DECLSPEC
void mpf_set (mpf_ptr
, mpf_srcptr
);
1382 #define mpf_set_d __gmpf_set_d
1383 __GMP_DECLSPEC
void mpf_set_d (mpf_ptr
, double);
1385 #define mpf_set_default_prec __gmpf_set_default_prec
1386 __GMP_DECLSPEC
void mpf_set_default_prec (mp_bitcnt_t
) __GMP_NOTHROW
;
1388 #define mpf_set_prec __gmpf_set_prec
1389 __GMP_DECLSPEC
void mpf_set_prec (mpf_ptr
, mp_bitcnt_t
);
1391 #define mpf_set_prec_raw __gmpf_set_prec_raw
1392 __GMP_DECLSPEC
void mpf_set_prec_raw (mpf_ptr
, mp_bitcnt_t
) __GMP_NOTHROW
;
1394 #define mpf_set_q __gmpf_set_q
1395 __GMP_DECLSPEC
void mpf_set_q (mpf_ptr
, mpq_srcptr
);
1397 #define mpf_set_si __gmpf_set_si
1398 __GMP_DECLSPEC
void mpf_set_si (mpf_ptr
, signed long int);
1400 #define mpf_set_str __gmpf_set_str
1401 __GMP_DECLSPEC
int mpf_set_str (mpf_ptr
, const char *, int);
1403 #define mpf_set_ui __gmpf_set_ui
1404 __GMP_DECLSPEC
void mpf_set_ui (mpf_ptr
, unsigned long int);
1406 #define mpf_set_z __gmpf_set_z
1407 __GMP_DECLSPEC
void mpf_set_z (mpf_ptr
, mpz_srcptr
);
1409 #define mpf_size __gmpf_size
1410 __GMP_DECLSPEC
size_t mpf_size (mpf_srcptr
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1412 #define mpf_sqrt __gmpf_sqrt
1413 __GMP_DECLSPEC
void mpf_sqrt (mpf_ptr
, mpf_srcptr
);
1415 #define mpf_sqrt_ui __gmpf_sqrt_ui
1416 __GMP_DECLSPEC
void mpf_sqrt_ui (mpf_ptr
, unsigned long int);
1418 #define mpf_sub __gmpf_sub
1419 __GMP_DECLSPEC
void mpf_sub (mpf_ptr
, mpf_srcptr
, mpf_srcptr
);
1421 #define mpf_sub_ui __gmpf_sub_ui
1422 __GMP_DECLSPEC
void mpf_sub_ui (mpf_ptr
, mpf_srcptr
, unsigned long int);
1424 #define mpf_swap __gmpf_swap
1425 __GMP_DECLSPEC
void mpf_swap (mpf_ptr
, mpf_ptr
) __GMP_NOTHROW
;
1427 #define mpf_trunc __gmpf_trunc
1428 __GMP_DECLSPEC
void mpf_trunc (mpf_ptr
, mpf_srcptr
);
1430 #define mpf_ui_div __gmpf_ui_div
1431 __GMP_DECLSPEC
void mpf_ui_div (mpf_ptr
, unsigned long int, mpf_srcptr
);
1433 #define mpf_ui_sub __gmpf_ui_sub
1434 __GMP_DECLSPEC
void mpf_ui_sub (mpf_ptr
, unsigned long int, mpf_srcptr
);
1436 #define mpf_urandomb __gmpf_urandomb
1437 __GMP_DECLSPEC
void mpf_urandomb (mpf_t
, gmp_randstate_t
, mp_bitcnt_t
);
1440 /************ Low level positive-integer (i.e. N) routines. ************/
1442 /* This is ugly, but we need to make user calls reach the prefixed function. */
1444 #define mpn_add __MPN(add)
1445 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add)
1446 __GMP_DECLSPEC mp_limb_t
mpn_add (mp_ptr
, mp_srcptr
, mp_size_t
, mp_srcptr
, mp_size_t
);
1449 #define mpn_add_1 __MPN(add_1)
1450 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add_1)
1451 __GMP_DECLSPEC mp_limb_t
mpn_add_1 (mp_ptr
, mp_srcptr
, mp_size_t
, mp_limb_t
) __GMP_NOTHROW
;
1454 #define mpn_add_n __MPN(add_n)
1455 __GMP_DECLSPEC mp_limb_t
mpn_add_n (mp_ptr
, mp_srcptr
, mp_srcptr
, mp_size_t
);
1457 #define mpn_addmul_1 __MPN(addmul_1)
1458 __GMP_DECLSPEC mp_limb_t
mpn_addmul_1 (mp_ptr
, mp_srcptr
, mp_size_t
, mp_limb_t
);
1460 #define mpn_cmp __MPN(cmp)
1461 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_cmp)
1462 __GMP_DECLSPEC
int mpn_cmp (mp_srcptr
, mp_srcptr
, mp_size_t
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1465 #define mpn_divexact_by3(dst,src,size) \
1466 mpn_divexact_by3c (dst, src, size, __GMP_CAST (mp_limb_t, 0))
1468 #define mpn_divexact_by3c __MPN(divexact_by3c)
1469 __GMP_DECLSPEC mp_limb_t
mpn_divexact_by3c (mp_ptr
, mp_srcptr
, mp_size_t
, mp_limb_t
);
1471 #define mpn_divmod_1(qp,np,nsize,dlimb) \
1472 mpn_divrem_1 (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dlimb)
1474 #define mpn_divrem __MPN(divrem)
1475 __GMP_DECLSPEC mp_limb_t
mpn_divrem (mp_ptr
, mp_size_t
, mp_ptr
, mp_size_t
, mp_srcptr
, mp_size_t
);
1477 #define mpn_divrem_1 __MPN(divrem_1)
1478 __GMP_DECLSPEC mp_limb_t
mpn_divrem_1 (mp_ptr
, mp_size_t
, mp_srcptr
, mp_size_t
, mp_limb_t
);
1480 #define mpn_divrem_2 __MPN(divrem_2)
1481 __GMP_DECLSPEC mp_limb_t
mpn_divrem_2 (mp_ptr
, mp_size_t
, mp_ptr
, mp_size_t
, mp_srcptr
);
1483 #define mpn_div_qr_2 __MPN(div_qr_2)
1484 __GMP_DECLSPEC mp_limb_t
mpn_div_qr_2 (mp_ptr
, mp_ptr
, mp_srcptr
, mp_size_t
, mp_srcptr
);
1486 #define mpn_gcd __MPN(gcd)
1487 __GMP_DECLSPEC mp_size_t
mpn_gcd (mp_ptr
, mp_ptr
, mp_size_t
, mp_ptr
, mp_size_t
);
1489 #define mpn_gcd_1 __MPN(gcd_1)
1490 __GMP_DECLSPEC mp_limb_t
mpn_gcd_1 (mp_srcptr
, mp_size_t
, mp_limb_t
) __GMP_ATTRIBUTE_PURE
;
1492 #define mpn_gcdext_1 __MPN(gcdext_1)
1493 __GMP_DECLSPEC mp_limb_t
mpn_gcdext_1 (mp_limb_signed_t
*, mp_limb_signed_t
*, mp_limb_t
, mp_limb_t
);
1495 #define mpn_gcdext __MPN(gcdext)
1496 __GMP_DECLSPEC mp_size_t
mpn_gcdext (mp_ptr
, mp_ptr
, mp_size_t
*, mp_ptr
, mp_size_t
, mp_ptr
, mp_size_t
);
1498 #define mpn_get_str __MPN(get_str)
1499 __GMP_DECLSPEC
size_t mpn_get_str (unsigned char *, int, mp_ptr
, mp_size_t
);
1501 #define mpn_hamdist __MPN(hamdist)
1502 __GMP_DECLSPEC mp_bitcnt_t
mpn_hamdist (mp_srcptr
, mp_srcptr
, mp_size_t
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1504 #define mpn_lshift __MPN(lshift)
1505 __GMP_DECLSPEC mp_limb_t
mpn_lshift (mp_ptr
, mp_srcptr
, mp_size_t
, unsigned int);
1507 #define mpn_mod_1 __MPN(mod_1)
1508 __GMP_DECLSPEC mp_limb_t
mpn_mod_1 (mp_srcptr
, mp_size_t
, mp_limb_t
) __GMP_ATTRIBUTE_PURE
;
1510 #define mpn_mul __MPN(mul)
1511 __GMP_DECLSPEC mp_limb_t
mpn_mul (mp_ptr
, mp_srcptr
, mp_size_t
, mp_srcptr
, mp_size_t
);
1513 #define mpn_mul_1 __MPN(mul_1)
1514 __GMP_DECLSPEC mp_limb_t
mpn_mul_1 (mp_ptr
, mp_srcptr
, mp_size_t
, mp_limb_t
);
1516 #define mpn_mul_n __MPN(mul_n)
1517 __GMP_DECLSPEC
void mpn_mul_n (mp_ptr
, mp_srcptr
, mp_srcptr
, mp_size_t
);
1519 #define mpn_sqr __MPN(sqr)
1520 __GMP_DECLSPEC
void mpn_sqr (mp_ptr
, mp_srcptr
, mp_size_t
);
1522 #define mpn_neg __MPN(neg)
1523 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_neg)
1524 __GMP_DECLSPEC mp_limb_t
mpn_neg (mp_ptr
, mp_srcptr
, mp_size_t
);
1527 #define mpn_com __MPN(com)
1528 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_com)
1529 __GMP_DECLSPEC
void mpn_com (mp_ptr
, mp_srcptr
, mp_size_t
);
1532 #define mpn_perfect_square_p __MPN(perfect_square_p)
1533 __GMP_DECLSPEC
int mpn_perfect_square_p (mp_srcptr
, mp_size_t
) __GMP_ATTRIBUTE_PURE
;
1535 #define mpn_perfect_power_p __MPN(perfect_power_p)
1536 __GMP_DECLSPEC
int mpn_perfect_power_p (mp_srcptr
, mp_size_t
) __GMP_ATTRIBUTE_PURE
;
1538 #define mpn_popcount __MPN(popcount)
1539 __GMP_DECLSPEC mp_bitcnt_t
mpn_popcount (mp_srcptr
, mp_size_t
) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE
;
1541 #define mpn_pow_1 __MPN(pow_1)
1542 __GMP_DECLSPEC mp_size_t
mpn_pow_1 (mp_ptr
, mp_srcptr
, mp_size_t
, mp_limb_t
, mp_ptr
);
1544 /* undocumented now, but retained here for upward compatibility */
1545 #define mpn_preinv_mod_1 __MPN(preinv_mod_1)
1546 __GMP_DECLSPEC mp_limb_t
mpn_preinv_mod_1 (mp_srcptr
, mp_size_t
, mp_limb_t
, mp_limb_t
) __GMP_ATTRIBUTE_PURE
;
1548 #define mpn_random __MPN(random)
1549 __GMP_DECLSPEC
void mpn_random (mp_ptr
, mp_size_t
);
1551 #define mpn_random2 __MPN(random2)
1552 __GMP_DECLSPEC
void mpn_random2 (mp_ptr
, mp_size_t
);
1554 #define mpn_rshift __MPN(rshift)
1555 __GMP_DECLSPEC mp_limb_t
mpn_rshift (mp_ptr
, mp_srcptr
, mp_size_t
, unsigned int);
1557 #define mpn_scan0 __MPN(scan0)
1558 __GMP_DECLSPEC mp_bitcnt_t
mpn_scan0 (mp_srcptr
, mp_bitcnt_t
) __GMP_ATTRIBUTE_PURE
;
1560 #define mpn_scan1 __MPN(scan1)
1561 __GMP_DECLSPEC mp_bitcnt_t
mpn_scan1 (mp_srcptr
, mp_bitcnt_t
) __GMP_ATTRIBUTE_PURE
;
1563 #define mpn_set_str __MPN(set_str)
1564 __GMP_DECLSPEC mp_size_t
mpn_set_str (mp_ptr
, const unsigned char *, size_t, int);
1566 #define mpn_sqrtrem __MPN(sqrtrem)
1567 __GMP_DECLSPEC mp_size_t
mpn_sqrtrem (mp_ptr
, mp_ptr
, mp_srcptr
, mp_size_t
);
1569 #define mpn_sub __MPN(sub)
1570 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub)
1571 __GMP_DECLSPEC mp_limb_t
mpn_sub (mp_ptr
, mp_srcptr
, mp_size_t
, mp_srcptr
, mp_size_t
);
1574 #define mpn_sub_1 __MPN(sub_1)
1575 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub_1)
1576 __GMP_DECLSPEC mp_limb_t
mpn_sub_1 (mp_ptr
, mp_srcptr
, mp_size_t
, mp_limb_t
) __GMP_NOTHROW
;
1579 #define mpn_sub_n __MPN(sub_n)
1580 __GMP_DECLSPEC mp_limb_t
mpn_sub_n (mp_ptr
, mp_srcptr
, mp_srcptr
, mp_size_t
);
1582 #define mpn_submul_1 __MPN(submul_1)
1583 __GMP_DECLSPEC mp_limb_t
mpn_submul_1 (mp_ptr
, mp_srcptr
, mp_size_t
, mp_limb_t
);
1585 #define mpn_tdiv_qr __MPN(tdiv_qr)
1586 __GMP_DECLSPEC
void mpn_tdiv_qr (mp_ptr
, mp_ptr
, mp_size_t
, mp_srcptr
, mp_size_t
, mp_srcptr
, mp_size_t
);
1588 #define mpn_and_n __MPN(and_n)
1589 __GMP_DECLSPEC
void mpn_and_n (mp_ptr
, mp_srcptr
, mp_srcptr
, mp_size_t
);
1590 #define mpn_andn_n __MPN(andn_n)
1591 __GMP_DECLSPEC
void mpn_andn_n (mp_ptr
, mp_srcptr
, mp_srcptr
, mp_size_t
);
1592 #define mpn_nand_n __MPN(nand_n)
1593 __GMP_DECLSPEC
void mpn_nand_n (mp_ptr
, mp_srcptr
, mp_srcptr
, mp_size_t
);
1594 #define mpn_ior_n __MPN(ior_n)
1595 __GMP_DECLSPEC
void mpn_ior_n (mp_ptr
, mp_srcptr
, mp_srcptr
, mp_size_t
);
1596 #define mpn_iorn_n __MPN(iorn_n)
1597 __GMP_DECLSPEC
void mpn_iorn_n (mp_ptr
, mp_srcptr
, mp_srcptr
, mp_size_t
);
1598 #define mpn_nior_n __MPN(nior_n)
1599 __GMP_DECLSPEC
void mpn_nior_n (mp_ptr
, mp_srcptr
, mp_srcptr
, mp_size_t
);
1600 #define mpn_xor_n __MPN(xor_n)
1601 __GMP_DECLSPEC
void mpn_xor_n (mp_ptr
, mp_srcptr
, mp_srcptr
, mp_size_t
);
1602 #define mpn_xnor_n __MPN(xnor_n)
1603 __GMP_DECLSPEC
void mpn_xnor_n (mp_ptr
, mp_srcptr
, mp_srcptr
, mp_size_t
);
1605 #define mpn_copyi __MPN(copyi)
1606 __GMP_DECLSPEC
void mpn_copyi (mp_ptr
, mp_srcptr
, mp_size_t
);
1607 #define mpn_copyd __MPN(copyd)
1608 __GMP_DECLSPEC
void mpn_copyd (mp_ptr
, mp_srcptr
, mp_size_t
);
1609 #define mpn_zero __MPN(zero)
1610 __GMP_DECLSPEC
void mpn_zero (mp_ptr
, mp_size_t
);
1612 #define mpn_udiv_w_sdiv __MPN(udiv_w_sdiv)
1613 __GMP_DECLSPEC mp_limb_t
mpn_udiv_w_sdiv (mp_limb_t
*, mp_limb_t
, mp_limb_t
, mp_limb_t
);
1615 /**************** mpz inlines ****************/
1617 /* The following are provided as inlines where possible, but always exist as
1618 library functions too, for binary compatibility.
1620 Within gmp itself this inlining generally isn't relied on, since it
1621 doesn't get done for all compilers, whereas if something is worth
1622 inlining then it's worth arranging always.
1624 There are two styles of inlining here. When the same bit of code is
1625 wanted for the inline as for the library version, then __GMP_FORCE_foo
1626 arranges for that code to be emitted and the __GMP_EXTERN_INLINE
1627 directive suppressed, eg. mpz_fits_uint_p. When a different bit of code
1628 is wanted for the inline than for the library version, then
1629 __GMP_FORCE_foo arranges the inline to be suppressed, eg. mpz_abs. */
1631 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_abs)
1632 __GMP_EXTERN_INLINE
void
1633 mpz_abs (mpz_ptr __gmp_w
, mpz_srcptr __gmp_u
)
1635 if (__gmp_w
!= __gmp_u
)
1636 mpz_set (__gmp_w
, __gmp_u
);
1637 __gmp_w
->_mp_size
= __GMP_ABS (__gmp_w
->_mp_size
);
1641 #if GMP_NAIL_BITS == 0
1642 #define __GMPZ_FITS_UTYPE_P(z,maxval) \
1643 mp_size_t __gmp_n = z->_mp_size; \
1644 mp_ptr __gmp_p = z->_mp_d; \
1645 return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval));
1647 #define __GMPZ_FITS_UTYPE_P(z,maxval) \
1648 mp_size_t __gmp_n = z->_mp_size; \
1649 mp_ptr __gmp_p = z->_mp_d; \
1650 return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval) \
1651 || (__gmp_n == 2 && __gmp_p[1] <= ((mp_limb_t) maxval >> GMP_NUMB_BITS)));
1654 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_uint_p)
1655 #if ! defined (__GMP_FORCE_mpz_fits_uint_p)
1659 mpz_fits_uint_p (mpz_srcptr __gmp_z
) __GMP_NOTHROW
1661 __GMPZ_FITS_UTYPE_P (__gmp_z
, __GMP_UINT_MAX
);
1665 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ulong_p)
1666 #if ! defined (__GMP_FORCE_mpz_fits_ulong_p)
1670 mpz_fits_ulong_p (mpz_srcptr __gmp_z
) __GMP_NOTHROW
1672 __GMPZ_FITS_UTYPE_P (__gmp_z
, __GMP_ULONG_MAX
);
1676 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ushort_p)
1677 #if ! defined (__GMP_FORCE_mpz_fits_ushort_p)
1681 mpz_fits_ushort_p (mpz_srcptr __gmp_z
) __GMP_NOTHROW
1683 __GMPZ_FITS_UTYPE_P (__gmp_z
, __GMP_USHRT_MAX
);
1687 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_get_ui)
1688 #if ! defined (__GMP_FORCE_mpz_get_ui)
1692 mpz_get_ui (mpz_srcptr __gmp_z
) __GMP_NOTHROW
1694 mp_ptr __gmp_p
= __gmp_z
->_mp_d
;
1695 mp_size_t __gmp_n
= __gmp_z
->_mp_size
;
1696 mp_limb_t __gmp_l
= __gmp_p
[0];
1697 /* This is a "#if" rather than a plain "if" so as to avoid gcc warnings
1698 about "<< GMP_NUMB_BITS" exceeding the type size, and to avoid Borland
1699 C++ 6.0 warnings about condition always true for something like
1700 "__GMP_ULONG_MAX < GMP_NUMB_MASK". */
1701 #if GMP_NAIL_BITS == 0 || defined (_LONG_LONG_LIMB)
1702 /* limb==long and no nails, or limb==longlong, one limb is enough */
1703 return (__gmp_n
!= 0 ? __gmp_l
: 0);
1705 /* limb==long and nails, need two limbs when available */
1706 __gmp_n
= __GMP_ABS (__gmp_n
);
1708 return (__gmp_n
!= 0 ? __gmp_l
: 0);
1710 return __gmp_l
+ (__gmp_p
[1] << GMP_NUMB_BITS
);
1715 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_getlimbn)
1716 #if ! defined (__GMP_FORCE_mpz_getlimbn)
1720 mpz_getlimbn (mpz_srcptr __gmp_z
, mp_size_t __gmp_n
) __GMP_NOTHROW
1722 mp_limb_t __gmp_result
= 0;
1723 if (__GMP_LIKELY (__gmp_n
>= 0 && __gmp_n
< __GMP_ABS (__gmp_z
->_mp_size
)))
1724 __gmp_result
= __gmp_z
->_mp_d
[__gmp_n
];
1725 return __gmp_result
;
1729 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_neg)
1730 __GMP_EXTERN_INLINE
void
1731 mpz_neg (mpz_ptr __gmp_w
, mpz_srcptr __gmp_u
)
1733 if (__gmp_w
!= __gmp_u
)
1734 mpz_set (__gmp_w
, __gmp_u
);
1735 __gmp_w
->_mp_size
= - __gmp_w
->_mp_size
;
1739 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_perfect_square_p)
1740 #if ! defined (__GMP_FORCE_mpz_perfect_square_p)
1744 mpz_perfect_square_p (mpz_srcptr __gmp_a
)
1746 mp_size_t __gmp_asize
;
1749 __gmp_asize
= __gmp_a
->_mp_size
;
1750 __gmp_result
= (__gmp_asize
>= 0); /* zero is a square, negatives are not */
1751 if (__GMP_LIKELY (__gmp_asize
> 0))
1752 __gmp_result
= mpn_perfect_square_p (__gmp_a
->_mp_d
, __gmp_asize
);
1753 return __gmp_result
;
1757 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_popcount)
1758 #if ! defined (__GMP_FORCE_mpz_popcount)
1762 mpz_popcount (mpz_srcptr __gmp_u
) __GMP_NOTHROW
1764 mp_size_t __gmp_usize
;
1765 mp_bitcnt_t __gmp_result
;
1767 __gmp_usize
= __gmp_u
->_mp_size
;
1768 __gmp_result
= (__gmp_usize
< 0 ? __GMP_ULONG_MAX
: 0);
1769 if (__GMP_LIKELY (__gmp_usize
> 0))
1770 __gmp_result
= mpn_popcount (__gmp_u
->_mp_d
, __gmp_usize
);
1771 return __gmp_result
;
1775 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_set_q)
1776 #if ! defined (__GMP_FORCE_mpz_set_q)
1780 mpz_set_q (mpz_ptr __gmp_w
, mpq_srcptr __gmp_u
)
1782 mpz_tdiv_q (__gmp_w
, mpq_numref (__gmp_u
), mpq_denref (__gmp_u
));
1786 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_size)
1787 #if ! defined (__GMP_FORCE_mpz_size)
1791 mpz_size (mpz_srcptr __gmp_z
) __GMP_NOTHROW
1793 return __GMP_ABS (__gmp_z
->_mp_size
);
1798 /**************** mpq inlines ****************/
1800 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_abs)
1801 __GMP_EXTERN_INLINE
void
1802 mpq_abs (mpq_ptr __gmp_w
, mpq_srcptr __gmp_u
)
1804 if (__gmp_w
!= __gmp_u
)
1805 mpq_set (__gmp_w
, __gmp_u
);
1806 __gmp_w
->_mp_num
._mp_size
= __GMP_ABS (__gmp_w
->_mp_num
._mp_size
);
1810 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_neg)
1811 __GMP_EXTERN_INLINE
void
1812 mpq_neg (mpq_ptr __gmp_w
, mpq_srcptr __gmp_u
)
1814 if (__gmp_w
!= __gmp_u
)
1815 mpq_set (__gmp_w
, __gmp_u
);
1816 __gmp_w
->_mp_num
._mp_size
= - __gmp_w
->_mp_num
._mp_size
;
1821 /**************** mpn inlines ****************/
1823 /* The comments with __GMPN_ADD_1 below apply here too.
1825 The test for FUNCTION returning 0 should predict well. If it's assumed
1826 {yp,ysize} will usually have a random number of bits then the high limb
1827 won't be full and a carry out will occur a good deal less than 50% of the
1830 ysize==0 isn't a documented feature, but is used internally in a few
1833 Producing cout last stops it using up a register during the main part of
1834 the calculation, though gcc (as of 3.0) on an "if (mpn_add (...))"
1835 doesn't seem able to move the true and false legs of the conditional up
1836 to the two places cout is generated. */
1838 #define __GMPN_AORS(cout, wp, xp, xsize, yp, ysize, FUNCTION, TEST) \
1840 mp_size_t __gmp_i; \
1841 mp_limb_t __gmp_x; \
1843 /* ASSERT ((ysize) >= 0); */ \
1844 /* ASSERT ((xsize) >= (ysize)); */ \
1845 /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, xp, xsize)); */ \
1846 /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, yp, ysize)); */ \
1848 __gmp_i = (ysize); \
1851 if (FUNCTION (wp, xp, yp, __gmp_i)) \
1855 if (__gmp_i >= (xsize)) \
1860 __gmp_x = (xp)[__gmp_i]; \
1866 __GMPN_COPY_REST (wp, xp, xsize, __gmp_i); \
1872 #define __GMPN_ADD(cout, wp, xp, xsize, yp, ysize) \
1873 __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_add_n, \
1874 (((wp)[__gmp_i++] = (__gmp_x + 1) & GMP_NUMB_MASK) == 0))
1875 #define __GMPN_SUB(cout, wp, xp, xsize, yp, ysize) \
1876 __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_sub_n, \
1877 (((wp)[__gmp_i++] = (__gmp_x - 1) & GMP_NUMB_MASK), __gmp_x == 0))
1880 /* The use of __gmp_i indexing is designed to ensure a compile time src==dst
1881 remains nice and clear to the compiler, so that __GMPN_COPY_REST can
1882 disappear, and the load/add/store gets a chance to become a
1883 read-modify-write on CISC CPUs.
1887 Using a pair of pointers instead of indexing would be possible, but gcc
1888 isn't able to recognise compile-time src==dst in that case, even when the
1889 pointers are incremented more or less together. Other compilers would
1890 very likely have similar difficulty.
1892 gcc could use "if (__builtin_constant_p(src==dst) && src==dst)" or
1893 similar to detect a compile-time src==dst. This works nicely on gcc
1894 2.95.x, it's not good on gcc 3.0 where __builtin_constant_p(p==p) seems
1895 to be always false, for a pointer p. But the current code form seems
1896 good enough for src==dst anyway.
1898 gcc on x86 as usual doesn't give particularly good flags handling for the
1899 carry/borrow detection. It's tempting to want some multi instruction asm
1900 blocks to help it, and this was tried, but in truth there's only a few
1901 instructions to save and any gain is all too easily lost by register
1902 juggling setting up for the asm. */
1904 #if GMP_NAIL_BITS == 0
1905 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB) \
1907 mp_size_t __gmp_i; \
1908 mp_limb_t __gmp_x, __gmp_r; \
1910 /* ASSERT ((n) >= 1); */ \
1911 /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */ \
1913 __gmp_x = (src)[0]; \
1914 __gmp_r = __gmp_x OP (v); \
1915 (dst)[0] = __gmp_r; \
1916 if (CB (__gmp_r, __gmp_x, (v))) \
1919 for (__gmp_i = 1; __gmp_i < (n);) \
1921 __gmp_x = (src)[__gmp_i]; \
1922 __gmp_r = __gmp_x OP 1; \
1923 (dst)[__gmp_i] = __gmp_r; \
1925 if (!CB (__gmp_r, __gmp_x, 1)) \
1927 if ((src) != (dst)) \
1928 __GMPN_COPY_REST (dst, src, n, __gmp_i); \
1936 if ((src) != (dst)) \
1937 __GMPN_COPY_REST (dst, src, n, 1); \
1943 #if GMP_NAIL_BITS >= 1
1944 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB) \
1946 mp_size_t __gmp_i; \
1947 mp_limb_t __gmp_x, __gmp_r; \
1949 /* ASSERT ((n) >= 1); */ \
1950 /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */ \
1952 __gmp_x = (src)[0]; \
1953 __gmp_r = __gmp_x OP (v); \
1954 (dst)[0] = __gmp_r & GMP_NUMB_MASK; \
1955 if (__gmp_r >> GMP_NUMB_BITS != 0) \
1958 for (__gmp_i = 1; __gmp_i < (n);) \
1960 __gmp_x = (src)[__gmp_i]; \
1961 __gmp_r = __gmp_x OP 1; \
1962 (dst)[__gmp_i] = __gmp_r & GMP_NUMB_MASK; \
1964 if (__gmp_r >> GMP_NUMB_BITS == 0) \
1966 if ((src) != (dst)) \
1967 __GMPN_COPY_REST (dst, src, n, __gmp_i); \
1975 if ((src) != (dst)) \
1976 __GMPN_COPY_REST (dst, src, n, 1); \
1982 #define __GMPN_ADDCB(r,x,y) ((r) < (y))
1983 #define __GMPN_SUBCB(r,x,y) ((x) < (y))
1985 #define __GMPN_ADD_1(cout, dst, src, n, v) \
1986 __GMPN_AORS_1(cout, dst, src, n, v, +, __GMPN_ADDCB)
1987 #define __GMPN_SUB_1(cout, dst, src, n, v) \
1988 __GMPN_AORS_1(cout, dst, src, n, v, -, __GMPN_SUBCB)
1991 /* Compare {xp,size} and {yp,size}, setting "result" to positive, zero or
1992 negative. size==0 is allowed. On random data usually only one limb will
1993 need to be examined to get a result, so it's worth having it inline. */
1994 #define __GMPN_CMP(result, xp, yp, size) \
1996 mp_size_t __gmp_i; \
1997 mp_limb_t __gmp_x, __gmp_y; \
1999 /* ASSERT ((size) >= 0); */ \
2003 while (--__gmp_i >= 0) \
2005 __gmp_x = (xp)[__gmp_i]; \
2006 __gmp_y = (yp)[__gmp_i]; \
2007 if (__gmp_x != __gmp_y) \
2009 /* Cannot use __gmp_x - __gmp_y, may overflow an "int" */ \
2010 (result) = (__gmp_x > __gmp_y ? 1 : -1); \
2017 #if defined (__GMPN_COPY) && ! defined (__GMPN_COPY_REST)
2018 #define __GMPN_COPY_REST(dst, src, size, start) \
2020 /* ASSERT ((start) >= 0); */ \
2021 /* ASSERT ((start) <= (size)); */ \
2022 __GMPN_COPY ((dst)+(start), (src)+(start), (size)-(start)); \
2026 /* Copy {src,size} to {dst,size}, starting at "start". This is designed to
2027 keep the indexing dst[j] and src[j] nice and simple for __GMPN_ADD_1,
2029 #if ! defined (__GMPN_COPY_REST)
2030 #define __GMPN_COPY_REST(dst, src, size, start) \
2032 mp_size_t __gmp_j; \
2033 /* ASSERT ((size) >= 0); */ \
2034 /* ASSERT ((start) >= 0); */ \
2035 /* ASSERT ((start) <= (size)); */ \
2036 /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */ \
2037 __GMP_CRAY_Pragma ("_CRI ivdep"); \
2038 for (__gmp_j = (start); __gmp_j < (size); __gmp_j++) \
2039 (dst)[__gmp_j] = (src)[__gmp_j]; \
2043 /* Enhancement: Use some of the smarter code from gmp-impl.h. Maybe use
2044 mpn_copyi if there's a native version, and if we don't mind demanding
2045 binary compatibility for it (on targets which use it). */
2047 #if ! defined (__GMPN_COPY)
2048 #define __GMPN_COPY(dst, src, size) __GMPN_COPY_REST (dst, src, size, 0)
2052 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add)
2053 #if ! defined (__GMP_FORCE_mpn_add)
2057 mpn_add (mp_ptr __gmp_wp
, mp_srcptr __gmp_xp
, mp_size_t __gmp_xsize
, mp_srcptr __gmp_yp
, mp_size_t __gmp_ysize
)
2060 __GMPN_ADD (__gmp_c
, __gmp_wp
, __gmp_xp
, __gmp_xsize
, __gmp_yp
, __gmp_ysize
);
2065 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add_1)
2066 #if ! defined (__GMP_FORCE_mpn_add_1)
2070 mpn_add_1 (mp_ptr __gmp_dst
, mp_srcptr __gmp_src
, mp_size_t __gmp_size
, mp_limb_t __gmp_n
) __GMP_NOTHROW
2073 __GMPN_ADD_1 (__gmp_c
, __gmp_dst
, __gmp_src
, __gmp_size
, __gmp_n
);
2078 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_cmp)
2079 #if ! defined (__GMP_FORCE_mpn_cmp)
2083 mpn_cmp (mp_srcptr __gmp_xp
, mp_srcptr __gmp_yp
, mp_size_t __gmp_size
) __GMP_NOTHROW
2086 __GMPN_CMP (__gmp_result
, __gmp_xp
, __gmp_yp
, __gmp_size
);
2087 return __gmp_result
;
2091 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub)
2092 #if ! defined (__GMP_FORCE_mpn_sub)
2096 mpn_sub (mp_ptr __gmp_wp
, mp_srcptr __gmp_xp
, mp_size_t __gmp_xsize
, mp_srcptr __gmp_yp
, mp_size_t __gmp_ysize
)
2099 __GMPN_SUB (__gmp_c
, __gmp_wp
, __gmp_xp
, __gmp_xsize
, __gmp_yp
, __gmp_ysize
);
2104 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub_1)
2105 #if ! defined (__GMP_FORCE_mpn_sub_1)
2109 mpn_sub_1 (mp_ptr __gmp_dst
, mp_srcptr __gmp_src
, mp_size_t __gmp_size
, mp_limb_t __gmp_n
) __GMP_NOTHROW
2112 __GMPN_SUB_1 (__gmp_c
, __gmp_dst
, __gmp_src
, __gmp_size
, __gmp_n
);
2117 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_neg)
2118 #if ! defined (__GMP_FORCE_mpn_neg)
2122 mpn_neg (mp_ptr __gmp_rp
, mp_srcptr __gmp_up
, mp_size_t __gmp_n
)
2124 mp_limb_t __gmp_ul
, __gmp_cy
;
2127 __gmp_ul
= *__gmp_up
++;
2128 *__gmp_rp
++ = -__gmp_ul
- __gmp_cy
;
2129 __gmp_cy
|= __gmp_ul
!= 0;
2130 } while (--__gmp_n
!= 0);
2135 #if defined (__cplusplus)
2140 /* Allow faster testing for negative, zero, and positive. */
2141 #define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0)
2142 #define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0)
2143 #define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0)
2145 /* When using GCC, optimize certain common comparisons. */
2146 #if defined (__GNUC__) && __GNUC__ >= 2
2147 #define mpz_cmp_ui(Z,UI) \
2148 (__builtin_constant_p (UI) && (UI) == 0 \
2149 ? mpz_sgn (Z) : _mpz_cmp_ui (Z,UI))
2150 #define mpz_cmp_si(Z,SI) \
2151 (__builtin_constant_p (SI) && (SI) == 0 ? mpz_sgn (Z) \
2152 : __builtin_constant_p (SI) && (SI) > 0 \
2153 ? _mpz_cmp_ui (Z, __GMP_CAST (unsigned long int, SI)) \
2154 : _mpz_cmp_si (Z,SI))
2155 #define mpq_cmp_ui(Q,NUI,DUI) \
2156 (__builtin_constant_p (NUI) && (NUI) == 0 \
2157 ? mpq_sgn (Q) : _mpq_cmp_ui (Q,NUI,DUI))
2158 #define mpq_cmp_si(q,n,d) \
2159 (__builtin_constant_p ((n) >= 0) && (n) >= 0 \
2160 ? mpq_cmp_ui (q, __GMP_CAST (unsigned long, n), d) \
2161 : _mpq_cmp_si (q, n, d))
2163 #define mpz_cmp_ui(Z,UI) _mpz_cmp_ui (Z,UI)
2164 #define mpz_cmp_si(Z,UI) _mpz_cmp_si (Z,UI)
2165 #define mpq_cmp_ui(Q,NUI,DUI) _mpq_cmp_ui (Q,NUI,DUI)
2166 #define mpq_cmp_si(q,n,d) _mpq_cmp_si(q,n,d)
2170 /* Using "&" rather than "&&" means these can come out branch-free. Every
2171 mpz_t has at least one limb allocated, so fetching the low limb is always
2173 #define mpz_odd_p(z) (((z)->_mp_size != 0) & __GMP_CAST (int, (z)->_mp_d[0]))
2174 #define mpz_even_p(z) (! mpz_odd_p (z))
2177 /**************** C++ routines ****************/
2180 __GMP_DECLSPEC_XX
std::ostream
& operator<< (std::ostream
&, mpz_srcptr
);
2181 __GMP_DECLSPEC_XX
std::ostream
& operator<< (std::ostream
&, mpq_srcptr
);
2182 __GMP_DECLSPEC_XX
std::ostream
& operator<< (std::ostream
&, mpf_srcptr
);
2183 __GMP_DECLSPEC_XX
std::istream
& operator>> (std::istream
&, mpz_ptr
);
2184 __GMP_DECLSPEC_XX
std::istream
& operator>> (std::istream
&, mpq_ptr
);
2185 __GMP_DECLSPEC_XX
std::istream
& operator>> (std::istream
&, mpf_ptr
);
2189 /* Source-level compatibility with GMP 2 and earlier. */
2190 #define mpn_divmod(qp,np,nsize,dp,dsize) \
2191 mpn_divrem (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dp, dsize)
2193 /* Source-level compatibility with GMP 1. */
2194 #define mpz_mdiv mpz_fdiv_q
2195 #define mpz_mdivmod mpz_fdiv_qr
2196 #define mpz_mmod mpz_fdiv_r
2197 #define mpz_mdiv_ui mpz_fdiv_q_ui
2198 #define mpz_mdivmod_ui(q,r,n,d) \
2199 (((r) == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d))
2200 #define mpz_mmod_ui(r,n,d) \
2201 (((r) == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d))
2203 /* Useful synonyms, but not quite compatible with GMP 1. */
2204 #define mpz_div mpz_fdiv_q
2205 #define mpz_divmod mpz_fdiv_qr
2206 #define mpz_div_ui mpz_fdiv_q_ui
2207 #define mpz_divmod_ui mpz_fdiv_qr_ui
2208 #define mpz_div_2exp mpz_fdiv_q_2exp
2209 #define mpz_mod_2exp mpz_fdiv_r_2exp
2214 GMP_ERROR_UNSUPPORTED_ARGUMENT
= 1,
2215 GMP_ERROR_DIVISION_BY_ZERO
= 2,
2216 GMP_ERROR_SQRT_OF_NEGATIVE
= 4,
2217 GMP_ERROR_INVALID_ARGUMENT
= 8
2220 /* Define CC and CFLAGS which were used to build this version of GMP */
2221 #define __GMP_CC "gcc -std=gnu99"
2222 #define __GMP_CFLAGS "-O2 -pedantic"
2224 /* Major version number is the value of __GNU_MP__ too, above and in mp.h. */
2225 #define __GNU_MP_VERSION 5
2226 #define __GNU_MP_VERSION_MINOR 1
2227 #define __GNU_MP_VERSION_PATCHLEVEL 3
2228 #define __GNU_MP_RELEASE (__GNU_MP_VERSION * 10000 + __GNU_MP_VERSION_MINOR * 100 + __GNU_MP_VERSION_PATCHLEVEL)
2231 #endif /* __GMP_H__ */