1 /* Definitions for GNU multiple precision functions. -*- mode: c -*-
3 Copyright 1991, 1993, 1994, 1995, 1996, 1997, 1999, 2000, 2001, 2002, 2003,
4 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012 Free Software Foundation,
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 /* Can't use Makefile.xxx definitions because mpfr uses this header too */
34 #define __GMP_BITS_PER_MP_LIMB 32
35 #elif defined(__x86_64__)
36 #define __GMP_BITS_PER_MP_LIMB 64
38 #error Platform Not Supported!
40 #define __GMP_HAVE_HOST_CPU_FAMILY_power 0
41 #define __GMP_HAVE_HOST_CPU_FAMILY_powerpc 0
42 #define GMP_LIMB_BITS __GMP_BITS_PER_MP_LIMB
43 #define GMP_NAIL_BITS 0
45 #define GMP_NUMB_BITS (GMP_LIMB_BITS - GMP_NAIL_BITS)
46 #define GMP_NUMB_MASK ((~ __GMP_CAST (mp_limb_t, 0)) >> GMP_NAIL_BITS)
47 #define GMP_NUMB_MAX GMP_NUMB_MASK
48 #define GMP_NAIL_MASK (~ GMP_NUMB_MASK)
51 /* The following (everything under ifndef __GNU_MP__) must be identical in
52 gmp.h and mp.h to allow both to be included in an application or during
57 #define __need_size_t /* tell gcc stddef.h we only want size_t */
58 #if defined (__cplusplus)
59 #include <cstddef> /* for size_t */
61 #include <stddef.h> /* for size_t */
65 /* Instantiated by configure. */
66 #if ! defined (__GMP_WITHIN_CONFIGURE)
67 /* #undef _LONG_LONG_LIMB */
68 #define __GMP_LIBGMP_DLL 0
72 /* __STDC__ - some ANSI compilers define this only to 0, hence the use of
73 "defined" and not "__STDC__-0". In particular Sun workshop C 5.0
74 sets __STDC__ to 0, but requires "##" for token pasting.
76 _AIX - gnu ansidecl.h asserts that all known AIX compilers are ANSI but
77 don't always define __STDC__.
79 __DECC - current versions of DEC C (5.9 for instance) for alpha are ANSI,
80 but don't define __STDC__ in their default mode. Don't know if old
81 versions might have been K&R, but let's not worry about that unless
82 someone is still using one.
84 _mips - gnu ansidecl.h says the RISC/OS MIPS compiler is ANSI in SVR4
85 mode, but doesn't define __STDC__.
87 _MSC_VER - Microsoft C is ANSI, but __STDC__ is undefined unless the /Za
88 option is given (in which case it's 1).
90 _WIN32 - tested for by gnu ansidecl.h, no doubt on the assumption that
91 all w32 compilers are ansi.
93 Note: This same set of tests is used by gen-psqr.c and
94 demos/expr/expr-impl.h, so if anything needs adding, then be sure to
97 #if defined (__STDC__) \
98 || defined (__cplusplus) \
100 || defined (__DECC) \
101 || (defined (__mips) && defined (_SYSTYPE_SVR4)) \
102 || defined (_MSC_VER) \
104 #define __GMP_HAVE_CONST 1
105 #define __GMP_HAVE_PROTOTYPES 1
106 #define __GMP_HAVE_TOKEN_PASTE 1
108 #define __GMP_HAVE_CONST 0
109 #define __GMP_HAVE_PROTOTYPES 0
110 #define __GMP_HAVE_TOKEN_PASTE 0
115 #define __gmp_const const
116 #define __gmp_signed signed
123 /* __GMP_DECLSPEC supports Windows DLL versions of libgmp, and is empty in
124 all other circumstances.
126 When compiling objects for libgmp, __GMP_DECLSPEC is an export directive,
127 or when compiling for an application it's an import directive. The two
128 cases are differentiated by __GMP_WITHIN_GMP defined by the GMP Makefiles
129 (and not defined from an application).
131 __GMP_DECLSPEC_XX is similarly used for libgmpxx. __GMP_WITHIN_GMPXX
132 indicates when building libgmpxx, and in that case libgmpxx functions are
133 exports, but libgmp functions which might get called are imports.
135 Libtool DLL_EXPORT define is not used.
137 There's no attempt to support GMP built both static and DLL. Doing so
138 would mean applications would have to tell us which of the two is going
139 to be used when linking, and that seems very tedious and error prone if
140 using GMP by hand, and equally tedious from a package since autoconf and
141 automake don't give much help.
143 __GMP_DECLSPEC is required on all documented global functions and
144 variables, the various internals in gmp-impl.h etc can be left unadorned.
145 But internals used by the test programs or speed measuring programs
146 should have __GMP_DECLSPEC, and certainly constants or variables must
147 have it or the wrong address will be resolved.
149 In gcc __declspec can go at either the start or end of a prototype.
151 In Microsoft C __declspec must go at the start, or after the type like
152 void __declspec(...) *foo()". There's no __dllexport or anything to
153 guard against someone foolish #defining dllexport. _export used to be
154 available, but no longer.
156 In Borland C _export still exists, but needs to go after the type, like
157 "void _export foo();". Would have to change the __GMP_DECLSPEC syntax to
158 make use of that. Probably more trouble than it's worth. */
160 #if defined (__GNUC__)
161 #define __GMP_DECLSPEC_EXPORT __declspec(__dllexport__)
162 #define __GMP_DECLSPEC_IMPORT __declspec(__dllimport__)
164 #if defined (_MSC_VER) || defined (__BORLANDC__)
165 #define __GMP_DECLSPEC_EXPORT __declspec(dllexport)
166 #define __GMP_DECLSPEC_IMPORT __declspec(dllimport)
169 #define __GMP_DECLSPEC_EXPORT __export
170 #define __GMP_DECLSPEC_IMPORT __import
173 #define __GMP_DECLSPEC_EXPORT _Export
174 #define __GMP_DECLSPEC_IMPORT _Import
179 /* compiling to go into a DLL libgmp */
180 #define __GMP_DECLSPEC __GMP_DECLSPEC_EXPORT
182 /* compiling to go into an application which will link to a DLL libgmp */
183 #define __GMP_DECLSPEC __GMP_DECLSPEC_IMPORT
186 /* all other cases */
187 #define __GMP_DECLSPEC
191 #ifdef __GMP_SHORT_LIMB
192 typedef unsigned int mp_limb_t;
193 typedef int mp_limb_signed_t;
195 #ifdef _LONG_LONG_LIMB
196 typedef unsigned long long int mp_limb_t;
197 typedef long long int mp_limb_signed_t;
199 typedef unsigned long int mp_limb_t;
200 typedef long int mp_limb_signed_t;
203 typedef unsigned long int mp_bitcnt_t;
205 /* For reference, note that the name __mpz_struct gets into C++ mangled
206 function names, which means although the "__" suggests an internal, we
207 must leave this name for binary compatibility. */
210 int _mp_alloc; /* Number of *limbs* allocated and pointed
211 to by the _mp_d field. */
212 int _mp_size; /* abs(_mp_size) is the number of limbs the
213 last field points to. If _mp_size is
214 negative this is a negative number. */
215 mp_limb_t *_mp_d; /* Pointer to the limbs. */
218 #endif /* __GNU_MP__ */
221 typedef __mpz_struct MP_INT; /* gmp 1 source compatibility */
222 typedef __mpz_struct mpz_t[1];
224 typedef mp_limb_t * mp_ptr;
225 typedef __gmp_const mp_limb_t * mp_srcptr;
226 #if defined (_CRAY) && ! defined (_CRAYMPP)
227 /* plain `int' is much faster (48 bits) */
228 #define __GMP_MP_SIZE_T_INT 1
229 typedef int mp_size_t;
230 typedef int mp_exp_t;
232 #define __GMP_MP_SIZE_T_INT 0
233 typedef long int mp_size_t;
234 typedef long int mp_exp_t;
239 __mpz_struct _mp_num;
240 __mpz_struct _mp_den;
243 typedef __mpq_struct MP_RAT; /* gmp 1 source compatibility */
244 typedef __mpq_struct mpq_t[1];
248 int _mp_prec; /* Max precision, in number of `mp_limb_t's.
249 Set by mpf_init and modified by
250 mpf_set_prec. The area pointed to by the
251 _mp_d field contains `prec' + 1 limbs. */
252 int _mp_size; /* abs(_mp_size) is the number of limbs the
253 last field points to. If _mp_size is
254 negative this is a negative number. */
255 mp_exp_t _mp_exp; /* Exponent, in the base of `mp_limb_t'. */
256 mp_limb_t *_mp_d; /* Pointer to the limbs. */
259 /* typedef __mpf_struct MP_FLOAT; */
260 typedef __mpf_struct mpf_t[1];
262 /* Available random number generation algorithms. */
265 GMP_RAND_ALG_DEFAULT = 0,
266 GMP_RAND_ALG_LC = GMP_RAND_ALG_DEFAULT /* Linear congruential. */
269 /* Random state struct. */
272 mpz_t _mp_seed; /* _mp_d member points to state of the generator. */
273 gmp_randalg_t _mp_alg; /* Currently unused. */
275 void *_mp_lc; /* Pointer to function pointers structure. */
277 } __gmp_randstate_struct;
278 typedef __gmp_randstate_struct gmp_randstate_t[1];
280 /* Types for function declarations in gmp files. */
281 /* ??? Should not pollute user name space with these ??? */
282 typedef __gmp_const __mpz_struct *mpz_srcptr;
283 typedef __mpz_struct *mpz_ptr;
284 typedef __gmp_const __mpf_struct *mpf_srcptr;
285 typedef __mpf_struct *mpf_ptr;
286 typedef __gmp_const __mpq_struct *mpq_srcptr;
287 typedef __mpq_struct *mpq_ptr;
290 /* This is not wanted in mp.h, so put it outside the __GNU_MP__ common
293 #if __GMP_WITHIN_GMPXX
294 /* compiling to go into a DLL libgmpxx */
295 #define __GMP_DECLSPEC_XX __GMP_DECLSPEC_EXPORT
297 /* compiling to go into a application which will link to a DLL libgmpxx */
298 #define __GMP_DECLSPEC_XX __GMP_DECLSPEC_IMPORT
301 /* all other cases */
302 #define __GMP_DECLSPEC_XX
306 #if __GMP_HAVE_PROTOTYPES
307 #define __GMP_PROTO(x) x
309 #define __GMP_PROTO(x) ()
313 #if __GMP_HAVE_TOKEN_PASTE
314 #define __MPN(x) __gmpn_##x
316 #define __MPN(x) __gmpn_/**/x
320 /* For reference, "defined(EOF)" cannot be used here. In g++ 2.95.4,
321 <iostream> defines EOF but not FILE. */
323 || defined (H_STDIO) \
324 || defined (_H_STDIO) /* AIX */ \
325 || defined (_STDIO_H) /* glibc, Sun, SCO */ \
326 || defined (_STDIO_H_) /* BSD, OSF */ \
327 || defined (__STDIO_H) /* Borland */ \
328 || defined (__STDIO_H__) /* IRIX */ \
329 || defined (_STDIO_INCLUDED) /* HPUX */ \
330 || defined (__dj_include_stdio_h_) /* DJGPP */ \
331 || defined (_FILE_DEFINED) /* Microsoft */ \
332 || defined (__STDIO__) /* Apple MPW MrC */ \
333 || defined (_MSL_STDIO_H) /* Metrowerks */ \
334 || defined (_STDIO_H_INCLUDED) /* QNX4 */ \
335 || defined (_ISO_STDIO_ISO_H) /* Sun C++ */ \
336 || defined (__STDIO_LOADED) /* VMS */
337 #define _GMP_H_HAVE_FILE 1
340 /* In ISO C, if a prototype involving "struct obstack *" is given without
341 that structure defined, then the struct is scoped down to just the
342 prototype, causing a conflict if it's subsequently defined for real. So
343 only give prototypes if we've got obstack.h. */
344 #if defined (_OBSTACK_H) /* glibc <obstack.h> */
345 #define _GMP_H_HAVE_OBSTACK 1
348 /* The prototypes for gmp_vprintf etc are provided only if va_list is
349 available, via an application having included <stdarg.h> or <varargs.h>.
350 Usually va_list is a typedef so can't be tested directly, but C99
351 specifies that va_start is a macro (and it was normally a macro on past
352 systems too), so look for that.
354 <stdio.h> will define some sort of va_list for vprintf and vfprintf, but
355 let's not bother trying to use that since it's not standard and since
356 application uses for gmp_vprintf etc will almost certainly require the
357 whole <stdarg.h> or <varargs.h> anyway. */
360 #define _GMP_H_HAVE_VA_LIST 1
363 /* Test for gcc >= maj.min, as per __GNUC_PREREQ in glibc */
364 #if defined (__GNUC__) && defined (__GNUC_MINOR__)
365 #define __GMP_GNUC_PREREQ(maj, min) \
366 ((__GNUC__ << 16) + __GNUC_MINOR__ >= ((maj) << 16) + (min))
368 #define __GMP_GNUC_PREREQ(maj, min) 0
371 /* "pure" is in gcc 2.96 and up, see "(gcc)Function Attributes". Basically
372 it means a function does nothing but examine its arguments and memory
373 (global or via arguments) to generate a return value, but changes nothing
374 and has no side-effects. __GMP_NO_ATTRIBUTE_CONST_PURE lets
375 tune/common.c etc turn this off when trying to write timing loops. */
376 #if __GMP_GNUC_PREREQ (2,96) && ! defined (__GMP_NO_ATTRIBUTE_CONST_PURE)
377 #define __GMP_ATTRIBUTE_PURE __attribute__ ((__pure__))
379 #define __GMP_ATTRIBUTE_PURE
383 /* __GMP_CAST allows us to use static_cast in C++, so our macros are clean
384 to "g++ -Wold-style-cast".
386 Casts in "extern inline" code within an extern "C" block don't induce
387 these warnings, so __GMP_CAST only needs to be used on documented
391 #define __GMP_CAST(type, expr) (static_cast<type> (expr))
393 #define __GMP_CAST(type, expr) ((type) (expr))
397 /* An empty "throw ()" means the function doesn't throw any C++ exceptions,
398 this can save some stack frame info in applications.
400 Currently it's given only on functions which never divide-by-zero etc,
401 don't allocate memory, and are expected to never need to allocate memory.
402 This leaves open the possibility of a C++ throw from a future GMP
405 mpz_set_ui etc are omitted to leave open the lazy allocation scheme
406 described in doc/tasks.html. mpz_get_d etc are omitted to leave open
407 exceptions for float overflows.
409 Note that __GMP_NOTHROW must be given on any inlines the same as on their
410 prototypes (for g++ at least, where they're used together). Note also
411 that g++ 3.0 demands that __GMP_NOTHROW is before other attributes like
412 __GMP_ATTRIBUTE_PURE. */
414 #if defined (__cplusplus)
415 #define __GMP_NOTHROW throw ()
417 #define __GMP_NOTHROW
421 /* PORTME: What other compilers have a useful "extern inline"? "static
422 inline" would be an acceptable substitute if the compiler (or linker)
423 discards unused statics. */
425 /* gcc has __inline__ in all modes, including strict ansi. Give a prototype
426 for an inline too, so as to correctly specify "dllimport" on windows, in
427 case the function is called rather than inlined.
428 GCC 4.3 and above with -std=c99 or -std=gnu99 implements ISO C99
429 inline semantics, unless -fgnu89-inline is used. */
431 #if (defined __GNUC_STDC_INLINE__) || (__GNUC__ == 4 && __GNUC_MINOR__ == 2)
432 #define __GMP_EXTERN_INLINE extern __inline__ __attribute__ ((__gnu_inline__))
434 #define __GMP_EXTERN_INLINE extern __inline__
436 #define __GMP_INLINE_PROTOTYPES 1
439 /* DEC C (eg. version 5.9) supports "static __inline foo()", even in -std1
440 strict ANSI mode. Inlining is done even when not optimizing (ie. -O0
441 mode, which is the default), but an unnecessary local copy of foo is
442 emitted unless -O is used. "extern __inline" is accepted, but the
443 "extern" appears to be ignored, ie. it becomes a plain global function
444 but which is inlined within its file. Don't know if all old versions of
445 DEC C supported __inline, but as a start let's do the right thing for
448 #define __GMP_EXTERN_INLINE static __inline
451 /* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict
452 ANSI mode (__STDC__ is 1 in that mode). Inlining only actually takes
453 place under -O. Without -O "foo" seems to be emitted whether it's used
454 or not, which is wasteful. "extern inline foo()" isn't useful, the
455 "extern" is apparently ignored, so foo is inlined if possible but also
456 emitted as a global, which causes multiple definition errors when
457 building a shared libgmp. */
458 #ifdef __SCO_VERSION__
459 #if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \
460 && ! defined (__GMP_EXTERN_INLINE)
461 #define __GMP_EXTERN_INLINE static inline
465 /* Microsoft's C compiler accepts __inline */
467 #define __GMP_EXTERN_INLINE __inline
470 /* Recent enough Sun C compilers want "inline" */
471 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x560 \
472 && ! defined (__GMP_EXTERN_INLINE)
473 #define __GMP_EXTERN_INLINE inline
476 /* Somewhat older Sun C compilers want "static inline" */
477 #if defined (__SUNPRO_C) && __SUNPRO_C >= 0x540 \
478 && ! defined (__GMP_EXTERN_INLINE)
479 #define __GMP_EXTERN_INLINE static inline
483 /* C++ always has "inline" and since it's a normal feature the linker should
484 discard duplicate non-inlined copies, or if it doesn't then that's a
485 problem for everyone, not just GMP. */
486 #if defined (__cplusplus) && ! defined (__GMP_EXTERN_INLINE)
487 #define __GMP_EXTERN_INLINE inline
490 /* Don't do any inlining within a configure run, since if the compiler ends
491 up emitting copies of the code into the object file it can end up
492 demanding the various support routines (like mpn_popcount) for linking,
493 making the "alloca" test and perhaps others fail. And on hppa ia64 a
494 pre-release gcc 3.2 was seen not respecting the "extern" in "extern
495 __inline__", triggering this problem too. */
496 #if defined (__GMP_WITHIN_CONFIGURE) && ! __GMP_WITHIN_CONFIGURE_INLINE
497 #undef __GMP_EXTERN_INLINE
500 /* By default, don't give a prototype when there's going to be an inline
501 version. Note in particular that Cray C++ objects to the combination of
502 prototype and inline. */
503 #ifdef __GMP_EXTERN_INLINE
504 #ifndef __GMP_INLINE_PROTOTYPES
505 #define __GMP_INLINE_PROTOTYPES 0
508 #define __GMP_INLINE_PROTOTYPES 1
512 #define __GMP_ABS(x) ((x) >= 0 ? (x) : -(x))
513 #define __GMP_MAX(h,i) ((h) > (i) ? (h) : (i))
515 /* __GMP_USHRT_MAX is not "~ (unsigned short) 0" because short is promoted
517 #define __GMP_UINT_MAX (~ (unsigned) 0)
518 #define __GMP_ULONG_MAX (~ (unsigned long) 0)
519 #define __GMP_USHRT_MAX ((unsigned short) ~0)
522 /* __builtin_expect is in gcc 3.0, and not in 2.95. */
523 #if __GMP_GNUC_PREREQ (3,0)
524 #define __GMP_LIKELY(cond) __builtin_expect ((cond) != 0, 1)
525 #define __GMP_UNLIKELY(cond) __builtin_expect ((cond) != 0, 0)
527 #define __GMP_LIKELY(cond) (cond)
528 #define __GMP_UNLIKELY(cond) (cond)
532 #define __GMP_CRAY_Pragma(str) _Pragma (str)
534 #define __GMP_CRAY_Pragma(str)
538 /* Allow direct user access to numerator and denominator of a mpq_t object. */
539 #define mpq_numref(Q) (&((Q)->_mp_num))
540 #define mpq_denref(Q) (&((Q)->_mp_den))
543 #if defined (__cplusplus)
548 #define mp_set_memory_functions __gmp_set_memory_functions
549 __GMP_DECLSPEC void mp_set_memory_functions __GMP_PROTO ((void *(*) (size_t),
550 void *(*) (void *, size_t, size_t),
551 void (*) (void *, size_t))) __GMP_NOTHROW;
553 #define mp_get_memory_functions __gmp_get_memory_functions
554 __GMP_DECLSPEC void mp_get_memory_functions __GMP_PROTO ((void *(**) (size_t),
555 void *(**) (void *, size_t, size_t),
556 void (**) (void *, size_t))) __GMP_NOTHROW;
558 #define mp_bits_per_limb __gmp_bits_per_limb
559 __GMP_DECLSPEC extern __gmp_const int mp_bits_per_limb;
561 #define gmp_errno __gmp_errno
562 __GMP_DECLSPEC extern int gmp_errno;
564 #define gmp_version __gmp_version
565 __GMP_DECLSPEC extern __gmp_const char * __gmp_const gmp_version;
568 /**************** Random number routines. ****************/
571 #define gmp_randinit __gmp_randinit
572 __GMP_DECLSPEC void gmp_randinit __GMP_PROTO ((gmp_randstate_t, gmp_randalg_t, ...));
574 #define gmp_randinit_default __gmp_randinit_default
575 __GMP_DECLSPEC void gmp_randinit_default __GMP_PROTO ((gmp_randstate_t));
577 #define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp
578 __GMP_DECLSPEC void gmp_randinit_lc_2exp __GMP_PROTO ((gmp_randstate_t,
579 mpz_srcptr, unsigned long int,
582 #define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size
583 __GMP_DECLSPEC int gmp_randinit_lc_2exp_size __GMP_PROTO ((gmp_randstate_t, mp_bitcnt_t));
585 #define gmp_randinit_mt __gmp_randinit_mt
586 __GMP_DECLSPEC void gmp_randinit_mt __GMP_PROTO ((gmp_randstate_t));
588 #define gmp_randinit_set __gmp_randinit_set
589 __GMP_DECLSPEC void gmp_randinit_set __GMP_PROTO ((gmp_randstate_t, __gmp_const __gmp_randstate_struct *));
591 #define gmp_randseed __gmp_randseed
592 __GMP_DECLSPEC void gmp_randseed __GMP_PROTO ((gmp_randstate_t, mpz_srcptr));
594 #define gmp_randseed_ui __gmp_randseed_ui
595 __GMP_DECLSPEC void gmp_randseed_ui __GMP_PROTO ((gmp_randstate_t, unsigned long int));
597 #define gmp_randclear __gmp_randclear
598 __GMP_DECLSPEC void gmp_randclear __GMP_PROTO ((gmp_randstate_t));
600 #define gmp_urandomb_ui __gmp_urandomb_ui
601 __GMP_DECLSPEC unsigned long gmp_urandomb_ui __GMP_PROTO ((gmp_randstate_t, unsigned long));
603 #define gmp_urandomm_ui __gmp_urandomm_ui
604 __GMP_DECLSPEC unsigned long gmp_urandomm_ui __GMP_PROTO ((gmp_randstate_t, unsigned long));
607 /**************** Formatted output routines. ****************/
609 #define gmp_asprintf __gmp_asprintf
610 __GMP_DECLSPEC int gmp_asprintf __GMP_PROTO ((char **, __gmp_const char *, ...));
612 #define gmp_fprintf __gmp_fprintf
613 #ifdef _GMP_H_HAVE_FILE
614 __GMP_DECLSPEC int gmp_fprintf __GMP_PROTO ((FILE *, __gmp_const char *, ...));
617 #define gmp_obstack_printf __gmp_obstack_printf
618 #if defined (_GMP_H_HAVE_OBSTACK)
619 __GMP_DECLSPEC int gmp_obstack_printf __GMP_PROTO ((struct obstack *, __gmp_const char *, ...));
622 #define gmp_obstack_vprintf __gmp_obstack_vprintf
623 #if defined (_GMP_H_HAVE_OBSTACK) && defined (_GMP_H_HAVE_VA_LIST)
624 __GMP_DECLSPEC int gmp_obstack_vprintf __GMP_PROTO ((struct obstack *, __gmp_const char *, va_list));
627 #define gmp_printf __gmp_printf
628 __GMP_DECLSPEC int gmp_printf __GMP_PROTO ((__gmp_const char *, ...));
630 #define gmp_snprintf __gmp_snprintf
631 __GMP_DECLSPEC int gmp_snprintf __GMP_PROTO ((char *, size_t, __gmp_const char *, ...));
633 #define gmp_sprintf __gmp_sprintf
634 __GMP_DECLSPEC int gmp_sprintf __GMP_PROTO ((char *, __gmp_const char *, ...));
636 #define gmp_vasprintf __gmp_vasprintf
637 #if defined (_GMP_H_HAVE_VA_LIST)
638 __GMP_DECLSPEC int gmp_vasprintf __GMP_PROTO ((char **, __gmp_const char *, va_list));
641 #define gmp_vfprintf __gmp_vfprintf
642 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
643 __GMP_DECLSPEC int gmp_vfprintf __GMP_PROTO ((FILE *, __gmp_const char *, va_list));
646 #define gmp_vprintf __gmp_vprintf
647 #if defined (_GMP_H_HAVE_VA_LIST)
648 __GMP_DECLSPEC int gmp_vprintf __GMP_PROTO ((__gmp_const char *, va_list));
651 #define gmp_vsnprintf __gmp_vsnprintf
652 #if defined (_GMP_H_HAVE_VA_LIST)
653 __GMP_DECLSPEC int gmp_vsnprintf __GMP_PROTO ((char *, size_t, __gmp_const char *, va_list));
656 #define gmp_vsprintf __gmp_vsprintf
657 #if defined (_GMP_H_HAVE_VA_LIST)
658 __GMP_DECLSPEC int gmp_vsprintf __GMP_PROTO ((char *, __gmp_const char *, va_list));
662 /**************** Formatted input routines. ****************/
664 #define gmp_fscanf __gmp_fscanf
665 #ifdef _GMP_H_HAVE_FILE
666 __GMP_DECLSPEC int gmp_fscanf __GMP_PROTO ((FILE *, __gmp_const char *, ...));
669 #define gmp_scanf __gmp_scanf
670 __GMP_DECLSPEC int gmp_scanf __GMP_PROTO ((__gmp_const char *, ...));
672 #define gmp_sscanf __gmp_sscanf
673 __GMP_DECLSPEC int gmp_sscanf __GMP_PROTO ((__gmp_const char *, __gmp_const char *, ...));
675 #define gmp_vfscanf __gmp_vfscanf
676 #if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST)
677 __GMP_DECLSPEC int gmp_vfscanf __GMP_PROTO ((FILE *, __gmp_const char *, va_list));
680 #define gmp_vscanf __gmp_vscanf
681 #if defined (_GMP_H_HAVE_VA_LIST)
682 __GMP_DECLSPEC int gmp_vscanf __GMP_PROTO ((__gmp_const char *, va_list));
685 #define gmp_vsscanf __gmp_vsscanf
686 #if defined (_GMP_H_HAVE_VA_LIST)
687 __GMP_DECLSPEC int gmp_vsscanf __GMP_PROTO ((__gmp_const char *, __gmp_const char *, va_list));
691 /**************** Integer (i.e. Z) routines. ****************/
693 #define _mpz_realloc __gmpz_realloc
694 #define mpz_realloc __gmpz_realloc
695 __GMP_DECLSPEC void *_mpz_realloc __GMP_PROTO ((mpz_ptr, mp_size_t));
697 #define mpz_abs __gmpz_abs
698 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs)
699 __GMP_DECLSPEC void mpz_abs __GMP_PROTO ((mpz_ptr, mpz_srcptr));
702 #define mpz_add __gmpz_add
703 __GMP_DECLSPEC void mpz_add __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
705 #define mpz_add_ui __gmpz_add_ui
706 __GMP_DECLSPEC void mpz_add_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
708 #define mpz_addmul __gmpz_addmul
709 __GMP_DECLSPEC void mpz_addmul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
711 #define mpz_addmul_ui __gmpz_addmul_ui
712 __GMP_DECLSPEC void mpz_addmul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
714 #define mpz_and __gmpz_and
715 __GMP_DECLSPEC void mpz_and __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
717 #define mpz_array_init __gmpz_array_init
718 __GMP_DECLSPEC void mpz_array_init __GMP_PROTO ((mpz_ptr, mp_size_t, mp_size_t));
720 #define mpz_bin_ui __gmpz_bin_ui
721 __GMP_DECLSPEC void mpz_bin_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
723 #define mpz_bin_uiui __gmpz_bin_uiui
724 __GMP_DECLSPEC void mpz_bin_uiui __GMP_PROTO ((mpz_ptr, unsigned long int, unsigned long int));
726 #define mpz_cdiv_q __gmpz_cdiv_q
727 __GMP_DECLSPEC void mpz_cdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
729 #define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp
730 __GMP_DECLSPEC void mpz_cdiv_q_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
732 #define mpz_cdiv_q_ui __gmpz_cdiv_q_ui
733 __GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
735 #define mpz_cdiv_qr __gmpz_cdiv_qr
736 __GMP_DECLSPEC void mpz_cdiv_qr __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
738 #define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui
739 __GMP_DECLSPEC unsigned long int mpz_cdiv_qr_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
741 #define mpz_cdiv_r __gmpz_cdiv_r
742 __GMP_DECLSPEC void mpz_cdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
744 #define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp
745 __GMP_DECLSPEC void mpz_cdiv_r_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
747 #define mpz_cdiv_r_ui __gmpz_cdiv_r_ui
748 __GMP_DECLSPEC unsigned long int mpz_cdiv_r_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
750 #define mpz_cdiv_ui __gmpz_cdiv_ui
751 __GMP_DECLSPEC unsigned long int mpz_cdiv_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
753 #define mpz_clear __gmpz_clear
754 __GMP_DECLSPEC void mpz_clear __GMP_PROTO ((mpz_ptr));
756 #define mpz_clears __gmpz_clears
757 __GMP_DECLSPEC void mpz_clears __GMP_PROTO ((mpz_ptr, ...));
759 #define mpz_clrbit __gmpz_clrbit
760 __GMP_DECLSPEC void mpz_clrbit __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
762 #define mpz_cmp __gmpz_cmp
763 __GMP_DECLSPEC int mpz_cmp __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
765 #define mpz_cmp_d __gmpz_cmp_d
766 __GMP_DECLSPEC int mpz_cmp_d __GMP_PROTO ((mpz_srcptr, double)) __GMP_ATTRIBUTE_PURE;
768 #define _mpz_cmp_si __gmpz_cmp_si
769 __GMP_DECLSPEC int _mpz_cmp_si __GMP_PROTO ((mpz_srcptr, signed long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
771 #define _mpz_cmp_ui __gmpz_cmp_ui
772 __GMP_DECLSPEC int _mpz_cmp_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
774 #define mpz_cmpabs __gmpz_cmpabs
775 __GMP_DECLSPEC int mpz_cmpabs __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
777 #define mpz_cmpabs_d __gmpz_cmpabs_d
778 __GMP_DECLSPEC int mpz_cmpabs_d __GMP_PROTO ((mpz_srcptr, double)) __GMP_ATTRIBUTE_PURE;
780 #define mpz_cmpabs_ui __gmpz_cmpabs_ui
781 __GMP_DECLSPEC int mpz_cmpabs_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
783 #define mpz_com __gmpz_com
784 __GMP_DECLSPEC void mpz_com __GMP_PROTO ((mpz_ptr, mpz_srcptr));
786 #define mpz_combit __gmpz_combit
787 __GMP_DECLSPEC void mpz_combit __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
789 #define mpz_congruent_p __gmpz_congruent_p
790 __GMP_DECLSPEC int mpz_congruent_p __GMP_PROTO ((mpz_srcptr, mpz_srcptr, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
792 #define mpz_congruent_2exp_p __gmpz_congruent_2exp_p
793 __GMP_DECLSPEC int mpz_congruent_2exp_p __GMP_PROTO ((mpz_srcptr, mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
795 #define mpz_congruent_ui_p __gmpz_congruent_ui_p
796 __GMP_DECLSPEC int mpz_congruent_ui_p __GMP_PROTO ((mpz_srcptr, unsigned long, unsigned long)) __GMP_ATTRIBUTE_PURE;
798 #define mpz_divexact __gmpz_divexact
799 __GMP_DECLSPEC void mpz_divexact __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
801 #define mpz_divexact_ui __gmpz_divexact_ui
802 __GMP_DECLSPEC void mpz_divexact_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long));
804 #define mpz_divisible_p __gmpz_divisible_p
805 __GMP_DECLSPEC int mpz_divisible_p __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
807 #define mpz_divisible_ui_p __gmpz_divisible_ui_p
808 __GMP_DECLSPEC int mpz_divisible_ui_p __GMP_PROTO ((mpz_srcptr, unsigned long)) __GMP_ATTRIBUTE_PURE;
810 #define mpz_divisible_2exp_p __gmpz_divisible_2exp_p
811 __GMP_DECLSPEC int mpz_divisible_2exp_p __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
813 #define mpz_dump __gmpz_dump
814 __GMP_DECLSPEC void mpz_dump __GMP_PROTO ((mpz_srcptr));
816 #define mpz_export __gmpz_export
817 __GMP_DECLSPEC void *mpz_export __GMP_PROTO ((void *, size_t *, int, size_t, int, size_t, mpz_srcptr));
819 #define mpz_fac_ui __gmpz_fac_ui
820 __GMP_DECLSPEC void mpz_fac_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
822 #define mpz_fdiv_q __gmpz_fdiv_q
823 __GMP_DECLSPEC void mpz_fdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
825 #define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp
826 __GMP_DECLSPEC void mpz_fdiv_q_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
828 #define mpz_fdiv_q_ui __gmpz_fdiv_q_ui
829 __GMP_DECLSPEC unsigned long int mpz_fdiv_q_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
831 #define mpz_fdiv_qr __gmpz_fdiv_qr
832 __GMP_DECLSPEC void mpz_fdiv_qr __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
834 #define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui
835 __GMP_DECLSPEC unsigned long int mpz_fdiv_qr_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
837 #define mpz_fdiv_r __gmpz_fdiv_r
838 __GMP_DECLSPEC void mpz_fdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
840 #define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp
841 __GMP_DECLSPEC void mpz_fdiv_r_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
843 #define mpz_fdiv_r_ui __gmpz_fdiv_r_ui
844 __GMP_DECLSPEC unsigned long int mpz_fdiv_r_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
846 #define mpz_fdiv_ui __gmpz_fdiv_ui
847 __GMP_DECLSPEC unsigned long int mpz_fdiv_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
849 #define mpz_fib_ui __gmpz_fib_ui
850 __GMP_DECLSPEC void mpz_fib_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
852 #define mpz_fib2_ui __gmpz_fib2_ui
853 __GMP_DECLSPEC void mpz_fib2_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, unsigned long int));
855 #define mpz_fits_sint_p __gmpz_fits_sint_p
856 __GMP_DECLSPEC int mpz_fits_sint_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
858 #define mpz_fits_slong_p __gmpz_fits_slong_p
859 __GMP_DECLSPEC int mpz_fits_slong_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
861 #define mpz_fits_sshort_p __gmpz_fits_sshort_p
862 __GMP_DECLSPEC int mpz_fits_sshort_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
864 #define mpz_fits_uint_p __gmpz_fits_uint_p
865 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_uint_p)
866 __GMP_DECLSPEC int mpz_fits_uint_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
869 #define mpz_fits_ulong_p __gmpz_fits_ulong_p
870 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ulong_p)
871 __GMP_DECLSPEC int mpz_fits_ulong_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
874 #define mpz_fits_ushort_p __gmpz_fits_ushort_p
875 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ushort_p)
876 __GMP_DECLSPEC int mpz_fits_ushort_p __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
879 #define mpz_gcd __gmpz_gcd
880 __GMP_DECLSPEC void mpz_gcd __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
882 #define mpz_gcd_ui __gmpz_gcd_ui
883 __GMP_DECLSPEC unsigned long int mpz_gcd_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
885 #define mpz_gcdext __gmpz_gcdext
886 __GMP_DECLSPEC void mpz_gcdext __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
888 #define mpz_get_d __gmpz_get_d
889 __GMP_DECLSPEC double mpz_get_d __GMP_PROTO ((mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
891 #define mpz_get_d_2exp __gmpz_get_d_2exp
892 __GMP_DECLSPEC double mpz_get_d_2exp __GMP_PROTO ((signed long int *, mpz_srcptr));
894 #define mpz_get_si __gmpz_get_si
895 __GMP_DECLSPEC /* signed */ long int mpz_get_si __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
897 #define mpz_get_str __gmpz_get_str
898 __GMP_DECLSPEC char *mpz_get_str __GMP_PROTO ((char *, int, mpz_srcptr));
900 #define mpz_get_ui __gmpz_get_ui
901 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_get_ui)
902 __GMP_DECLSPEC unsigned long int mpz_get_ui __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
905 #define mpz_getlimbn __gmpz_getlimbn
906 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_getlimbn)
907 __GMP_DECLSPEC mp_limb_t mpz_getlimbn __GMP_PROTO ((mpz_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
910 #define mpz_hamdist __gmpz_hamdist
911 __GMP_DECLSPEC mp_bitcnt_t mpz_hamdist __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
913 #define mpz_import __gmpz_import
914 __GMP_DECLSPEC void mpz_import __GMP_PROTO ((mpz_ptr, size_t, int, size_t, int, size_t, __gmp_const void *));
916 #define mpz_init __gmpz_init
917 __GMP_DECLSPEC void mpz_init __GMP_PROTO ((mpz_ptr));
919 #define mpz_init2 __gmpz_init2
920 __GMP_DECLSPEC void mpz_init2 __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
922 #define mpz_inits __gmpz_inits
923 __GMP_DECLSPEC void mpz_inits __GMP_PROTO ((mpz_ptr, ...));
925 #define mpz_init_set __gmpz_init_set
926 __GMP_DECLSPEC void mpz_init_set __GMP_PROTO ((mpz_ptr, mpz_srcptr));
928 #define mpz_init_set_d __gmpz_init_set_d
929 __GMP_DECLSPEC void mpz_init_set_d __GMP_PROTO ((mpz_ptr, double));
931 #define mpz_init_set_si __gmpz_init_set_si
932 __GMP_DECLSPEC void mpz_init_set_si __GMP_PROTO ((mpz_ptr, signed long int));
934 #define mpz_init_set_str __gmpz_init_set_str
935 __GMP_DECLSPEC int mpz_init_set_str __GMP_PROTO ((mpz_ptr, __gmp_const char *, int));
937 #define mpz_init_set_ui __gmpz_init_set_ui
938 __GMP_DECLSPEC void mpz_init_set_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
940 #define mpz_inp_raw __gmpz_inp_raw
941 #ifdef _GMP_H_HAVE_FILE
942 __GMP_DECLSPEC size_t mpz_inp_raw __GMP_PROTO ((mpz_ptr, FILE *));
945 #define mpz_inp_str __gmpz_inp_str
946 #ifdef _GMP_H_HAVE_FILE
947 __GMP_DECLSPEC size_t mpz_inp_str __GMP_PROTO ((mpz_ptr, FILE *, int));
950 #define mpz_invert __gmpz_invert
951 __GMP_DECLSPEC int mpz_invert __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
953 #define mpz_ior __gmpz_ior
954 __GMP_DECLSPEC void mpz_ior __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
956 #define mpz_jacobi __gmpz_jacobi
957 __GMP_DECLSPEC int mpz_jacobi __GMP_PROTO ((mpz_srcptr, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
959 #define mpz_kronecker mpz_jacobi /* alias */
961 #define mpz_kronecker_si __gmpz_kronecker_si
962 __GMP_DECLSPEC int mpz_kronecker_si __GMP_PROTO ((mpz_srcptr, long)) __GMP_ATTRIBUTE_PURE;
964 #define mpz_kronecker_ui __gmpz_kronecker_ui
965 __GMP_DECLSPEC int mpz_kronecker_ui __GMP_PROTO ((mpz_srcptr, unsigned long)) __GMP_ATTRIBUTE_PURE;
967 #define mpz_si_kronecker __gmpz_si_kronecker
968 __GMP_DECLSPEC int mpz_si_kronecker __GMP_PROTO ((long, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
970 #define mpz_ui_kronecker __gmpz_ui_kronecker
971 __GMP_DECLSPEC int mpz_ui_kronecker __GMP_PROTO ((unsigned long, mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
973 #define mpz_lcm __gmpz_lcm
974 __GMP_DECLSPEC void mpz_lcm __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
976 #define mpz_lcm_ui __gmpz_lcm_ui
977 __GMP_DECLSPEC void mpz_lcm_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long));
979 #define mpz_legendre mpz_jacobi /* alias */
981 #define mpz_lucnum_ui __gmpz_lucnum_ui
982 __GMP_DECLSPEC void mpz_lucnum_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
984 #define mpz_lucnum2_ui __gmpz_lucnum2_ui
985 __GMP_DECLSPEC void mpz_lucnum2_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, unsigned long int));
987 #define mpz_millerrabin __gmpz_millerrabin
988 __GMP_DECLSPEC int mpz_millerrabin __GMP_PROTO ((mpz_srcptr, int)) __GMP_ATTRIBUTE_PURE;
990 #define mpz_mod __gmpz_mod
991 __GMP_DECLSPEC void mpz_mod __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
993 #define mpz_mod_ui mpz_fdiv_r_ui /* same as fdiv_r because divisor unsigned */
995 #define mpz_mul __gmpz_mul
996 __GMP_DECLSPEC void mpz_mul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
998 #define mpz_mul_2exp __gmpz_mul_2exp
999 __GMP_DECLSPEC void mpz_mul_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
1001 #define mpz_mul_si __gmpz_mul_si
1002 __GMP_DECLSPEC void mpz_mul_si __GMP_PROTO ((mpz_ptr, mpz_srcptr, long int));
1004 #define mpz_mul_ui __gmpz_mul_ui
1005 __GMP_DECLSPEC void mpz_mul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1007 #define mpz_neg __gmpz_neg
1008 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_neg)
1009 __GMP_DECLSPEC void mpz_neg __GMP_PROTO ((mpz_ptr, mpz_srcptr));
1012 #define mpz_nextprime __gmpz_nextprime
1013 __GMP_DECLSPEC void mpz_nextprime __GMP_PROTO ((mpz_ptr, mpz_srcptr));
1015 #define mpz_out_raw __gmpz_out_raw
1016 #ifdef _GMP_H_HAVE_FILE
1017 __GMP_DECLSPEC size_t mpz_out_raw __GMP_PROTO ((FILE *, mpz_srcptr));
1020 #define mpz_out_str __gmpz_out_str
1021 #ifdef _GMP_H_HAVE_FILE
1022 __GMP_DECLSPEC size_t mpz_out_str __GMP_PROTO ((FILE *, int, mpz_srcptr));
1025 #define mpz_perfect_power_p __gmpz_perfect_power_p
1026 __GMP_DECLSPEC int mpz_perfect_power_p __GMP_PROTO ((mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
1028 #define mpz_perfect_square_p __gmpz_perfect_square_p
1029 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_perfect_square_p)
1030 __GMP_DECLSPEC int mpz_perfect_square_p __GMP_PROTO ((mpz_srcptr)) __GMP_ATTRIBUTE_PURE;
1033 #define mpz_popcount __gmpz_popcount
1034 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_popcount)
1035 __GMP_DECLSPEC mp_bitcnt_t mpz_popcount __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1038 #define mpz_pow_ui __gmpz_pow_ui
1039 __GMP_DECLSPEC void mpz_pow_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1041 #define mpz_powm __gmpz_powm
1042 __GMP_DECLSPEC void mpz_powm __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr));
1044 #define mpz_powm_sec __gmpz_powm_sec
1045 __GMP_DECLSPEC void mpz_powm_sec __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr));
1047 #define mpz_powm_ui __gmpz_powm_ui
1048 __GMP_DECLSPEC void mpz_powm_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr));
1050 #define mpz_probab_prime_p __gmpz_probab_prime_p
1051 __GMP_DECLSPEC int mpz_probab_prime_p __GMP_PROTO ((mpz_srcptr, int)) __GMP_ATTRIBUTE_PURE;
1053 #define mpz_random __gmpz_random
1054 __GMP_DECLSPEC void mpz_random __GMP_PROTO ((mpz_ptr, mp_size_t));
1056 #define mpz_random2 __gmpz_random2
1057 __GMP_DECLSPEC void mpz_random2 __GMP_PROTO ((mpz_ptr, mp_size_t));
1059 #define mpz_realloc2 __gmpz_realloc2
1060 __GMP_DECLSPEC void mpz_realloc2 __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
1062 #define mpz_remove __gmpz_remove
1063 __GMP_DECLSPEC mp_bitcnt_t mpz_remove __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1065 #define mpz_root __gmpz_root
1066 __GMP_DECLSPEC int mpz_root __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1068 #define mpz_rootrem __gmpz_rootrem
1069 __GMP_DECLSPEC void mpz_rootrem __GMP_PROTO ((mpz_ptr,mpz_ptr, mpz_srcptr, unsigned long int));
1071 #define mpz_rrandomb __gmpz_rrandomb
1072 __GMP_DECLSPEC void mpz_rrandomb __GMP_PROTO ((mpz_ptr, gmp_randstate_t, mp_bitcnt_t));
1074 #define mpz_scan0 __gmpz_scan0
1075 __GMP_DECLSPEC mp_bitcnt_t mpz_scan0 __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1077 #define mpz_scan1 __gmpz_scan1
1078 __GMP_DECLSPEC mp_bitcnt_t mpz_scan1 __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1080 #define mpz_set __gmpz_set
1081 __GMP_DECLSPEC void mpz_set __GMP_PROTO ((mpz_ptr, mpz_srcptr));
1083 #define mpz_set_d __gmpz_set_d
1084 __GMP_DECLSPEC void mpz_set_d __GMP_PROTO ((mpz_ptr, double));
1086 #define mpz_set_f __gmpz_set_f
1087 __GMP_DECLSPEC void mpz_set_f __GMP_PROTO ((mpz_ptr, mpf_srcptr));
1089 #define mpz_set_q __gmpz_set_q
1090 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_set_q)
1091 __GMP_DECLSPEC void mpz_set_q __GMP_PROTO ((mpz_ptr, mpq_srcptr));
1094 #define mpz_set_si __gmpz_set_si
1095 __GMP_DECLSPEC void mpz_set_si __GMP_PROTO ((mpz_ptr, signed long int));
1097 #define mpz_set_str __gmpz_set_str
1098 __GMP_DECLSPEC int mpz_set_str __GMP_PROTO ((mpz_ptr, __gmp_const char *, int));
1100 #define mpz_set_ui __gmpz_set_ui
1101 __GMP_DECLSPEC void mpz_set_ui __GMP_PROTO ((mpz_ptr, unsigned long int));
1103 #define mpz_setbit __gmpz_setbit
1104 __GMP_DECLSPEC void mpz_setbit __GMP_PROTO ((mpz_ptr, mp_bitcnt_t));
1106 #define mpz_size __gmpz_size
1107 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_size)
1108 __GMP_DECLSPEC size_t mpz_size __GMP_PROTO ((mpz_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1111 #define mpz_sizeinbase __gmpz_sizeinbase
1112 __GMP_DECLSPEC size_t mpz_sizeinbase __GMP_PROTO ((mpz_srcptr, int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1114 #define mpz_sqrt __gmpz_sqrt
1115 __GMP_DECLSPEC void mpz_sqrt __GMP_PROTO ((mpz_ptr, mpz_srcptr));
1117 #define mpz_sqrtrem __gmpz_sqrtrem
1118 __GMP_DECLSPEC void mpz_sqrtrem __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr));
1120 #define mpz_sub __gmpz_sub
1121 __GMP_DECLSPEC void mpz_sub __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1123 #define mpz_sub_ui __gmpz_sub_ui
1124 __GMP_DECLSPEC void mpz_sub_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1126 #define mpz_ui_sub __gmpz_ui_sub
1127 __GMP_DECLSPEC void mpz_ui_sub __GMP_PROTO ((mpz_ptr, unsigned long int, mpz_srcptr));
1129 #define mpz_submul __gmpz_submul
1130 __GMP_DECLSPEC void mpz_submul __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1132 #define mpz_submul_ui __gmpz_submul_ui
1133 __GMP_DECLSPEC void mpz_submul_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1135 #define mpz_swap __gmpz_swap
1136 __GMP_DECLSPEC void mpz_swap __GMP_PROTO ((mpz_ptr, mpz_ptr)) __GMP_NOTHROW;
1138 #define mpz_tdiv_ui __gmpz_tdiv_ui
1139 __GMP_DECLSPEC unsigned long int mpz_tdiv_ui __GMP_PROTO ((mpz_srcptr, unsigned long int)) __GMP_ATTRIBUTE_PURE;
1141 #define mpz_tdiv_q __gmpz_tdiv_q
1142 __GMP_DECLSPEC void mpz_tdiv_q __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1144 #define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp
1145 __GMP_DECLSPEC void mpz_tdiv_q_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
1147 #define mpz_tdiv_q_ui __gmpz_tdiv_q_ui
1148 __GMP_DECLSPEC unsigned long int mpz_tdiv_q_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1150 #define mpz_tdiv_qr __gmpz_tdiv_qr
1151 __GMP_DECLSPEC void mpz_tdiv_qr __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr));
1153 #define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui
1154 __GMP_DECLSPEC unsigned long int mpz_tdiv_qr_ui __GMP_PROTO ((mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int));
1156 #define mpz_tdiv_r __gmpz_tdiv_r
1157 __GMP_DECLSPEC void mpz_tdiv_r __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1159 #define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp
1160 __GMP_DECLSPEC void mpz_tdiv_r_2exp __GMP_PROTO ((mpz_ptr, mpz_srcptr, mp_bitcnt_t));
1162 #define mpz_tdiv_r_ui __gmpz_tdiv_r_ui
1163 __GMP_DECLSPEC unsigned long int mpz_tdiv_r_ui __GMP_PROTO ((mpz_ptr, mpz_srcptr, unsigned long int));
1165 #define mpz_tstbit __gmpz_tstbit
1166 __GMP_DECLSPEC int mpz_tstbit __GMP_PROTO ((mpz_srcptr, mp_bitcnt_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1168 #define mpz_ui_pow_ui __gmpz_ui_pow_ui
1169 __GMP_DECLSPEC void mpz_ui_pow_ui __GMP_PROTO ((mpz_ptr, unsigned long int, unsigned long int));
1171 #define mpz_urandomb __gmpz_urandomb
1172 __GMP_DECLSPEC void mpz_urandomb __GMP_PROTO ((mpz_ptr, gmp_randstate_t, mp_bitcnt_t));
1174 #define mpz_urandomm __gmpz_urandomm
1175 __GMP_DECLSPEC void mpz_urandomm __GMP_PROTO ((mpz_ptr, gmp_randstate_t, mpz_srcptr));
1177 #define mpz_xor __gmpz_xor
1178 #define mpz_eor __gmpz_xor
1179 __GMP_DECLSPEC void mpz_xor __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
1182 /**************** Rational (i.e. Q) routines. ****************/
1184 #define mpq_abs __gmpq_abs
1185 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_abs)
1186 __GMP_DECLSPEC void mpq_abs __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1189 #define mpq_add __gmpq_add
1190 __GMP_DECLSPEC void mpq_add __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1192 #define mpq_canonicalize __gmpq_canonicalize
1193 __GMP_DECLSPEC void mpq_canonicalize __GMP_PROTO ((mpq_ptr));
1195 #define mpq_clear __gmpq_clear
1196 __GMP_DECLSPEC void mpq_clear __GMP_PROTO ((mpq_ptr));
1198 #define mpq_clears __gmpq_clears
1199 __GMP_DECLSPEC void mpq_clears __GMP_PROTO ((mpq_ptr, ...));
1201 #define mpq_cmp __gmpq_cmp
1202 __GMP_DECLSPEC int mpq_cmp __GMP_PROTO ((mpq_srcptr, mpq_srcptr)) __GMP_ATTRIBUTE_PURE;
1204 #define _mpq_cmp_si __gmpq_cmp_si
1205 __GMP_DECLSPEC int _mpq_cmp_si __GMP_PROTO ((mpq_srcptr, long, unsigned long)) __GMP_ATTRIBUTE_PURE;
1207 #define _mpq_cmp_ui __gmpq_cmp_ui
1208 __GMP_DECLSPEC int _mpq_cmp_ui __GMP_PROTO ((mpq_srcptr, unsigned long int, unsigned long int)) __GMP_ATTRIBUTE_PURE;
1210 #define mpq_div __gmpq_div
1211 __GMP_DECLSPEC void mpq_div __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1213 #define mpq_div_2exp __gmpq_div_2exp
1214 __GMP_DECLSPEC void mpq_div_2exp __GMP_PROTO ((mpq_ptr, mpq_srcptr, mp_bitcnt_t));
1216 #define mpq_equal __gmpq_equal
1217 __GMP_DECLSPEC int mpq_equal __GMP_PROTO ((mpq_srcptr, mpq_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1219 #define mpq_get_num __gmpq_get_num
1220 __GMP_DECLSPEC void mpq_get_num __GMP_PROTO ((mpz_ptr, mpq_srcptr));
1222 #define mpq_get_den __gmpq_get_den
1223 __GMP_DECLSPEC void mpq_get_den __GMP_PROTO ((mpz_ptr, mpq_srcptr));
1225 #define mpq_get_d __gmpq_get_d
1226 __GMP_DECLSPEC double mpq_get_d __GMP_PROTO ((mpq_srcptr)) __GMP_ATTRIBUTE_PURE;
1228 #define mpq_get_str __gmpq_get_str
1229 __GMP_DECLSPEC char *mpq_get_str __GMP_PROTO ((char *, int, mpq_srcptr));
1231 #define mpq_init __gmpq_init
1232 __GMP_DECLSPEC void mpq_init __GMP_PROTO ((mpq_ptr));
1234 #define mpq_inits __gmpq_inits
1235 __GMP_DECLSPEC void mpq_inits __GMP_PROTO ((mpq_ptr, ...));
1237 #define mpq_inp_str __gmpq_inp_str
1238 #ifdef _GMP_H_HAVE_FILE
1239 __GMP_DECLSPEC size_t mpq_inp_str __GMP_PROTO ((mpq_ptr, FILE *, int));
1242 #define mpq_inv __gmpq_inv
1243 __GMP_DECLSPEC void mpq_inv __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1245 #define mpq_mul __gmpq_mul
1246 __GMP_DECLSPEC void mpq_mul __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1248 #define mpq_mul_2exp __gmpq_mul_2exp
1249 __GMP_DECLSPEC void mpq_mul_2exp __GMP_PROTO ((mpq_ptr, mpq_srcptr, mp_bitcnt_t));
1251 #define mpq_neg __gmpq_neg
1252 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_neg)
1253 __GMP_DECLSPEC void mpq_neg __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1256 #define mpq_out_str __gmpq_out_str
1257 #ifdef _GMP_H_HAVE_FILE
1258 __GMP_DECLSPEC size_t mpq_out_str __GMP_PROTO ((FILE *, int, mpq_srcptr));
1261 #define mpq_set __gmpq_set
1262 __GMP_DECLSPEC void mpq_set __GMP_PROTO ((mpq_ptr, mpq_srcptr));
1264 #define mpq_set_d __gmpq_set_d
1265 __GMP_DECLSPEC void mpq_set_d __GMP_PROTO ((mpq_ptr, double));
1267 #define mpq_set_den __gmpq_set_den
1268 __GMP_DECLSPEC void mpq_set_den __GMP_PROTO ((mpq_ptr, mpz_srcptr));
1270 #define mpq_set_f __gmpq_set_f
1271 __GMP_DECLSPEC void mpq_set_f __GMP_PROTO ((mpq_ptr, mpf_srcptr));
1273 #define mpq_set_num __gmpq_set_num
1274 __GMP_DECLSPEC void mpq_set_num __GMP_PROTO ((mpq_ptr, mpz_srcptr));
1276 #define mpq_set_si __gmpq_set_si
1277 __GMP_DECLSPEC void mpq_set_si __GMP_PROTO ((mpq_ptr, signed long int, unsigned long int));
1279 #define mpq_set_str __gmpq_set_str
1280 __GMP_DECLSPEC int mpq_set_str __GMP_PROTO ((mpq_ptr, __gmp_const char *, int));
1282 #define mpq_set_ui __gmpq_set_ui
1283 __GMP_DECLSPEC void mpq_set_ui __GMP_PROTO ((mpq_ptr, unsigned long int, unsigned long int));
1285 #define mpq_set_z __gmpq_set_z
1286 __GMP_DECLSPEC void mpq_set_z __GMP_PROTO ((mpq_ptr, mpz_srcptr));
1288 #define mpq_sub __gmpq_sub
1289 __GMP_DECLSPEC void mpq_sub __GMP_PROTO ((mpq_ptr, mpq_srcptr, mpq_srcptr));
1291 #define mpq_swap __gmpq_swap
1292 __GMP_DECLSPEC void mpq_swap __GMP_PROTO ((mpq_ptr, mpq_ptr)) __GMP_NOTHROW;
1295 /**************** Float (i.e. F) routines. ****************/
1297 #define mpf_abs __gmpf_abs
1298 __GMP_DECLSPEC void mpf_abs __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1300 #define mpf_add __gmpf_add
1301 __GMP_DECLSPEC void mpf_add __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1303 #define mpf_add_ui __gmpf_add_ui
1304 __GMP_DECLSPEC void mpf_add_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1305 #define mpf_ceil __gmpf_ceil
1306 __GMP_DECLSPEC void mpf_ceil __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1308 #define mpf_clear __gmpf_clear
1309 __GMP_DECLSPEC void mpf_clear __GMP_PROTO ((mpf_ptr));
1311 #define mpf_clears __gmpf_clears
1312 __GMP_DECLSPEC void mpf_clears __GMP_PROTO ((mpf_ptr, ...));
1314 #define mpf_cmp __gmpf_cmp
1315 __GMP_DECLSPEC int mpf_cmp __GMP_PROTO ((mpf_srcptr, mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1317 #define mpf_cmp_d __gmpf_cmp_d
1318 __GMP_DECLSPEC int mpf_cmp_d __GMP_PROTO ((mpf_srcptr, double)) __GMP_ATTRIBUTE_PURE;
1320 #define mpf_cmp_si __gmpf_cmp_si
1321 __GMP_DECLSPEC int mpf_cmp_si __GMP_PROTO ((mpf_srcptr, signed long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1323 #define mpf_cmp_ui __gmpf_cmp_ui
1324 __GMP_DECLSPEC int mpf_cmp_ui __GMP_PROTO ((mpf_srcptr, unsigned long int)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1326 #define mpf_div __gmpf_div
1327 __GMP_DECLSPEC void mpf_div __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1329 #define mpf_div_2exp __gmpf_div_2exp
1330 __GMP_DECLSPEC void mpf_div_2exp __GMP_PROTO ((mpf_ptr, mpf_srcptr, mp_bitcnt_t));
1332 #define mpf_div_ui __gmpf_div_ui
1333 __GMP_DECLSPEC void mpf_div_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1335 #define mpf_dump __gmpf_dump
1336 __GMP_DECLSPEC void mpf_dump __GMP_PROTO ((mpf_srcptr));
1338 #define mpf_eq __gmpf_eq
1339 __GMP_DECLSPEC int mpf_eq __GMP_PROTO ((mpf_srcptr, mpf_srcptr, mp_bitcnt_t)) __GMP_ATTRIBUTE_PURE;
1341 #define mpf_fits_sint_p __gmpf_fits_sint_p
1342 __GMP_DECLSPEC int mpf_fits_sint_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1344 #define mpf_fits_slong_p __gmpf_fits_slong_p
1345 __GMP_DECLSPEC int mpf_fits_slong_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1347 #define mpf_fits_sshort_p __gmpf_fits_sshort_p
1348 __GMP_DECLSPEC int mpf_fits_sshort_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1350 #define mpf_fits_uint_p __gmpf_fits_uint_p
1351 __GMP_DECLSPEC int mpf_fits_uint_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1353 #define mpf_fits_ulong_p __gmpf_fits_ulong_p
1354 __GMP_DECLSPEC int mpf_fits_ulong_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1356 #define mpf_fits_ushort_p __gmpf_fits_ushort_p
1357 __GMP_DECLSPEC int mpf_fits_ushort_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1359 #define mpf_floor __gmpf_floor
1360 __GMP_DECLSPEC void mpf_floor __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1362 #define mpf_get_d __gmpf_get_d
1363 __GMP_DECLSPEC double mpf_get_d __GMP_PROTO ((mpf_srcptr)) __GMP_ATTRIBUTE_PURE;
1365 #define mpf_get_d_2exp __gmpf_get_d_2exp
1366 __GMP_DECLSPEC double mpf_get_d_2exp __GMP_PROTO ((signed long int *, mpf_srcptr));
1368 #define mpf_get_default_prec __gmpf_get_default_prec
1369 __GMP_DECLSPEC mp_bitcnt_t mpf_get_default_prec __GMP_PROTO ((void)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1371 #define mpf_get_prec __gmpf_get_prec
1372 __GMP_DECLSPEC mp_bitcnt_t mpf_get_prec __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1374 #define mpf_get_si __gmpf_get_si
1375 __GMP_DECLSPEC long mpf_get_si __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1377 #define mpf_get_str __gmpf_get_str
1378 __GMP_DECLSPEC char *mpf_get_str __GMP_PROTO ((char *, mp_exp_t *, int, size_t, mpf_srcptr));
1380 #define mpf_get_ui __gmpf_get_ui
1381 __GMP_DECLSPEC unsigned long mpf_get_ui __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1383 #define mpf_init __gmpf_init
1384 __GMP_DECLSPEC void mpf_init __GMP_PROTO ((mpf_ptr));
1386 #define mpf_init2 __gmpf_init2
1387 __GMP_DECLSPEC void mpf_init2 __GMP_PROTO ((mpf_ptr, mp_bitcnt_t));
1389 #define mpf_inits __gmpf_inits
1390 __GMP_DECLSPEC void mpf_inits __GMP_PROTO ((mpf_ptr, ...));
1392 #define mpf_init_set __gmpf_init_set
1393 __GMP_DECLSPEC void mpf_init_set __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1395 #define mpf_init_set_d __gmpf_init_set_d
1396 __GMP_DECLSPEC void mpf_init_set_d __GMP_PROTO ((mpf_ptr, double));
1398 #define mpf_init_set_si __gmpf_init_set_si
1399 __GMP_DECLSPEC void mpf_init_set_si __GMP_PROTO ((mpf_ptr, signed long int));
1401 #define mpf_init_set_str __gmpf_init_set_str
1402 __GMP_DECLSPEC int mpf_init_set_str __GMP_PROTO ((mpf_ptr, __gmp_const char *, int));
1404 #define mpf_init_set_ui __gmpf_init_set_ui
1405 __GMP_DECLSPEC void mpf_init_set_ui __GMP_PROTO ((mpf_ptr, unsigned long int));
1407 #define mpf_inp_str __gmpf_inp_str
1408 #ifdef _GMP_H_HAVE_FILE
1409 __GMP_DECLSPEC size_t mpf_inp_str __GMP_PROTO ((mpf_ptr, FILE *, int));
1412 #define mpf_integer_p __gmpf_integer_p
1413 __GMP_DECLSPEC int mpf_integer_p __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1415 #define mpf_mul __gmpf_mul
1416 __GMP_DECLSPEC void mpf_mul __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1418 #define mpf_mul_2exp __gmpf_mul_2exp
1419 __GMP_DECLSPEC void mpf_mul_2exp __GMP_PROTO ((mpf_ptr, mpf_srcptr, mp_bitcnt_t));
1421 #define mpf_mul_ui __gmpf_mul_ui
1422 __GMP_DECLSPEC void mpf_mul_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1424 #define mpf_neg __gmpf_neg
1425 __GMP_DECLSPEC void mpf_neg __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1427 #define mpf_out_str __gmpf_out_str
1428 #ifdef _GMP_H_HAVE_FILE
1429 __GMP_DECLSPEC size_t mpf_out_str __GMP_PROTO ((FILE *, int, size_t, mpf_srcptr));
1432 #define mpf_pow_ui __gmpf_pow_ui
1433 __GMP_DECLSPEC void mpf_pow_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1435 #define mpf_random2 __gmpf_random2
1436 __GMP_DECLSPEC void mpf_random2 __GMP_PROTO ((mpf_ptr, mp_size_t, mp_exp_t));
1438 #define mpf_reldiff __gmpf_reldiff
1439 __GMP_DECLSPEC void mpf_reldiff __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1441 #define mpf_set __gmpf_set
1442 __GMP_DECLSPEC void mpf_set __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1444 #define mpf_set_d __gmpf_set_d
1445 __GMP_DECLSPEC void mpf_set_d __GMP_PROTO ((mpf_ptr, double));
1447 #define mpf_set_default_prec __gmpf_set_default_prec
1448 __GMP_DECLSPEC void mpf_set_default_prec __GMP_PROTO ((mp_bitcnt_t)) __GMP_NOTHROW;
1450 #define mpf_set_prec __gmpf_set_prec
1451 __GMP_DECLSPEC void mpf_set_prec __GMP_PROTO ((mpf_ptr, mp_bitcnt_t));
1453 #define mpf_set_prec_raw __gmpf_set_prec_raw
1454 __GMP_DECLSPEC void mpf_set_prec_raw __GMP_PROTO ((mpf_ptr, mp_bitcnt_t)) __GMP_NOTHROW;
1456 #define mpf_set_q __gmpf_set_q
1457 __GMP_DECLSPEC void mpf_set_q __GMP_PROTO ((mpf_ptr, mpq_srcptr));
1459 #define mpf_set_si __gmpf_set_si
1460 __GMP_DECLSPEC void mpf_set_si __GMP_PROTO ((mpf_ptr, signed long int));
1462 #define mpf_set_str __gmpf_set_str
1463 __GMP_DECLSPEC int mpf_set_str __GMP_PROTO ((mpf_ptr, __gmp_const char *, int));
1465 #define mpf_set_ui __gmpf_set_ui
1466 __GMP_DECLSPEC void mpf_set_ui __GMP_PROTO ((mpf_ptr, unsigned long int));
1468 #define mpf_set_z __gmpf_set_z
1469 __GMP_DECLSPEC void mpf_set_z __GMP_PROTO ((mpf_ptr, mpz_srcptr));
1471 #define mpf_size __gmpf_size
1472 __GMP_DECLSPEC size_t mpf_size __GMP_PROTO ((mpf_srcptr)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1474 #define mpf_sqrt __gmpf_sqrt
1475 __GMP_DECLSPEC void mpf_sqrt __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1477 #define mpf_sqrt_ui __gmpf_sqrt_ui
1478 __GMP_DECLSPEC void mpf_sqrt_ui __GMP_PROTO ((mpf_ptr, unsigned long int));
1480 #define mpf_sub __gmpf_sub
1481 __GMP_DECLSPEC void mpf_sub __GMP_PROTO ((mpf_ptr, mpf_srcptr, mpf_srcptr));
1483 #define mpf_sub_ui __gmpf_sub_ui
1484 __GMP_DECLSPEC void mpf_sub_ui __GMP_PROTO ((mpf_ptr, mpf_srcptr, unsigned long int));
1486 #define mpf_swap __gmpf_swap
1487 __GMP_DECLSPEC void mpf_swap __GMP_PROTO ((mpf_ptr, mpf_ptr)) __GMP_NOTHROW;
1489 #define mpf_trunc __gmpf_trunc
1490 __GMP_DECLSPEC void mpf_trunc __GMP_PROTO ((mpf_ptr, mpf_srcptr));
1492 #define mpf_ui_div __gmpf_ui_div
1493 __GMP_DECLSPEC void mpf_ui_div __GMP_PROTO ((mpf_ptr, unsigned long int, mpf_srcptr));
1495 #define mpf_ui_sub __gmpf_ui_sub
1496 __GMP_DECLSPEC void mpf_ui_sub __GMP_PROTO ((mpf_ptr, unsigned long int, mpf_srcptr));
1498 #define mpf_urandomb __gmpf_urandomb
1499 __GMP_DECLSPEC void mpf_urandomb __GMP_PROTO ((mpf_t, gmp_randstate_t, mp_bitcnt_t));
1502 /************ Low level positive-integer (i.e. N) routines. ************/
1504 /* This is ugly, but we need to make user calls reach the prefixed function. */
1506 #define mpn_add __MPN(add)
1507 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add)
1508 __GMP_DECLSPEC mp_limb_t mpn_add __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr,mp_size_t));
1511 #define mpn_add_1 __MPN(add_1)
1512 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add_1)
1513 __GMP_DECLSPEC mp_limb_t mpn_add_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)) __GMP_NOTHROW;
1516 #define mpn_add_n __MPN(add_n)
1517 __GMP_DECLSPEC mp_limb_t mpn_add_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1519 #define mpn_addmul_1 __MPN(addmul_1)
1520 __GMP_DECLSPEC mp_limb_t mpn_addmul_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1522 #define mpn_cmp __MPN(cmp)
1523 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_cmp)
1524 __GMP_DECLSPEC int mpn_cmp __GMP_PROTO ((mp_srcptr, mp_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1527 #define mpn_divexact_by3(dst,src,size) \
1528 mpn_divexact_by3c (dst, src, size, __GMP_CAST (mp_limb_t, 0))
1530 #define mpn_divexact_by3c __MPN(divexact_by3c)
1531 __GMP_DECLSPEC mp_limb_t mpn_divexact_by3c __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1533 #define mpn_divmod_1(qp,np,nsize,dlimb) \
1534 mpn_divrem_1 (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dlimb)
1536 #define mpn_divrem __MPN(divrem)
1537 __GMP_DECLSPEC mp_limb_t mpn_divrem __GMP_PROTO ((mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t));
1539 #define mpn_divrem_1 __MPN(divrem_1)
1540 __GMP_DECLSPEC mp_limb_t mpn_divrem_1 __GMP_PROTO ((mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t));
1542 #define mpn_divrem_2 __MPN(divrem_2)
1543 __GMP_DECLSPEC mp_limb_t mpn_divrem_2 __GMP_PROTO ((mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr));
1545 #define mpn_gcd __MPN(gcd)
1546 __GMP_DECLSPEC mp_size_t mpn_gcd __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t));
1548 #define mpn_gcd_1 __MPN(gcd_1)
1549 __GMP_DECLSPEC mp_limb_t mpn_gcd_1 __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t)) __GMP_ATTRIBUTE_PURE;
1551 #define mpn_gcdext_1 __MPN(gcdext_1)
1552 __GMP_DECLSPEC mp_limb_t mpn_gcdext_1 __GMP_PROTO ((mp_limb_signed_t *, mp_limb_signed_t *, mp_limb_t, mp_limb_t));
1554 #define mpn_gcdext __MPN(gcdext)
1555 __GMP_DECLSPEC mp_size_t mpn_gcdext __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t *, mp_ptr, mp_size_t, mp_ptr, mp_size_t));
1557 #define mpn_get_str __MPN(get_str)
1558 __GMP_DECLSPEC size_t mpn_get_str __GMP_PROTO ((unsigned char *, int, mp_ptr, mp_size_t));
1560 #define mpn_hamdist __MPN(hamdist)
1561 __GMP_DECLSPEC mp_bitcnt_t mpn_hamdist __GMP_PROTO ((mp_srcptr, mp_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1563 #define mpn_lshift __MPN(lshift)
1564 __GMP_DECLSPEC mp_limb_t mpn_lshift __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int));
1566 #define mpn_mod_1 __MPN(mod_1)
1567 __GMP_DECLSPEC mp_limb_t mpn_mod_1 __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t)) __GMP_ATTRIBUTE_PURE;
1569 #define mpn_mul __MPN(mul)
1570 __GMP_DECLSPEC mp_limb_t mpn_mul __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t));
1572 #define mpn_mul_1 __MPN(mul_1)
1573 __GMP_DECLSPEC mp_limb_t mpn_mul_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1575 #define mpn_mul_n __MPN(mul_n)
1576 __GMP_DECLSPEC void mpn_mul_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1578 #define mpn_sqr __MPN(sqr)
1579 __GMP_DECLSPEC void mpn_sqr __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1581 #define mpn_neg __MPN(neg)
1582 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_neg)
1583 __GMP_DECLSPEC mp_limb_t mpn_neg __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1586 #define mpn_com __MPN(com)
1587 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_com)
1588 __GMP_DECLSPEC void mpn_com __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1591 #define mpn_perfect_square_p __MPN(perfect_square_p)
1592 __GMP_DECLSPEC int mpn_perfect_square_p __GMP_PROTO ((mp_srcptr, mp_size_t)) __GMP_ATTRIBUTE_PURE;
1594 #define mpn_perfect_power_p __MPN(perfect_power_p)
1595 __GMP_DECLSPEC int mpn_perfect_power_p __GMP_PROTO ((mp_srcptr, mp_size_t)) __GMP_ATTRIBUTE_PURE;
1597 #define mpn_popcount __MPN(popcount)
1598 __GMP_DECLSPEC mp_bitcnt_t mpn_popcount __GMP_PROTO ((mp_srcptr, mp_size_t)) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE;
1600 #define mpn_pow_1 __MPN(pow_1)
1601 __GMP_DECLSPEC mp_size_t mpn_pow_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr));
1603 /* undocumented now, but retained here for upward compatibility */
1604 #define mpn_preinv_mod_1 __MPN(preinv_mod_1)
1605 __GMP_DECLSPEC mp_limb_t mpn_preinv_mod_1 __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t)) __GMP_ATTRIBUTE_PURE;
1607 #define mpn_random __MPN(random)
1608 __GMP_DECLSPEC void mpn_random __GMP_PROTO ((mp_ptr, mp_size_t));
1610 #define mpn_random2 __MPN(random2)
1611 __GMP_DECLSPEC void mpn_random2 __GMP_PROTO ((mp_ptr, mp_size_t));
1613 #define mpn_rshift __MPN(rshift)
1614 __GMP_DECLSPEC mp_limb_t mpn_rshift __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int));
1616 #define mpn_scan0 __MPN(scan0)
1617 __GMP_DECLSPEC mp_bitcnt_t mpn_scan0 __GMP_PROTO ((mp_srcptr, mp_bitcnt_t)) __GMP_ATTRIBUTE_PURE;
1619 #define mpn_scan1 __MPN(scan1)
1620 __GMP_DECLSPEC mp_bitcnt_t mpn_scan1 __GMP_PROTO ((mp_srcptr, mp_bitcnt_t)) __GMP_ATTRIBUTE_PURE;
1622 #define mpn_set_str __MPN(set_str)
1623 __GMP_DECLSPEC mp_size_t mpn_set_str __GMP_PROTO ((mp_ptr, __gmp_const unsigned char *, size_t, int));
1625 #define mpn_sqrtrem __MPN(sqrtrem)
1626 __GMP_DECLSPEC mp_size_t mpn_sqrtrem __GMP_PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_size_t));
1628 #define mpn_sub __MPN(sub)
1629 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub)
1630 __GMP_DECLSPEC mp_limb_t mpn_sub __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr,mp_size_t));
1633 #define mpn_sub_1 __MPN(sub_1)
1634 #if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub_1)
1635 __GMP_DECLSPEC mp_limb_t mpn_sub_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)) __GMP_NOTHROW;
1638 #define mpn_sub_n __MPN(sub_n)
1639 __GMP_DECLSPEC mp_limb_t mpn_sub_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1641 #define mpn_submul_1 __MPN(submul_1)
1642 __GMP_DECLSPEC mp_limb_t mpn_submul_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
1644 #define mpn_tdiv_qr __MPN(tdiv_qr)
1645 __GMP_DECLSPEC void mpn_tdiv_qr __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t));
1647 #define mpn_and_n __MPN(and_n)
1648 __GMP_DECLSPEC void mpn_and_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1649 #define mpn_andn_n __MPN(andn_n)
1650 __GMP_DECLSPEC void mpn_andn_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1651 #define mpn_nand_n __MPN(nand_n)
1652 __GMP_DECLSPEC void mpn_nand_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1653 #define mpn_ior_n __MPN(ior_n)
1654 __GMP_DECLSPEC void mpn_ior_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1655 #define mpn_iorn_n __MPN(iorn_n)
1656 __GMP_DECLSPEC void mpn_iorn_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1657 #define mpn_nior_n __MPN(nior_n)
1658 __GMP_DECLSPEC void mpn_nior_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1659 #define mpn_xor_n __MPN(xor_n)
1660 __GMP_DECLSPEC void mpn_xor_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1661 #define mpn_xnor_n __MPN(xnor_n)
1662 __GMP_DECLSPEC void mpn_xnor_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
1664 #define mpn_copyi __MPN(copyi)
1665 __GMP_DECLSPEC void mpn_copyi __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1666 #define mpn_copyd __MPN(copyd)
1667 __GMP_DECLSPEC void mpn_copyd __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
1668 #define mpn_zero __MPN(zero)
1669 __GMP_DECLSPEC void mpn_zero __GMP_PROTO ((mp_ptr, mp_size_t));
1671 /**************** mpz inlines ****************/
1673 /* The following are provided as inlines where possible, but always exist as
1674 library functions too, for binary compatibility.
1676 Within gmp itself this inlining generally isn't relied on, since it
1677 doesn't get done for all compilers, whereas if something is worth
1678 inlining then it's worth arranging always.
1680 There are two styles of inlining here. When the same bit of code is
1681 wanted for the inline as for the library version, then __GMP_FORCE_foo
1682 arranges for that code to be emitted and the __GMP_EXTERN_INLINE
1683 directive suppressed, eg. mpz_fits_uint_p. When a different bit of code
1684 is wanted for the inline than for the library version, then
1685 __GMP_FORCE_foo arranges the inline to be suppressed, eg. mpz_abs. */
1687 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_abs)
1688 __GMP_EXTERN_INLINE void
1689 mpz_abs (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1691 if (__gmp_w != __gmp_u)
1692 mpz_set (__gmp_w, __gmp_u);
1693 __gmp_w->_mp_size = __GMP_ABS (__gmp_w->_mp_size);
1697 #if GMP_NAIL_BITS == 0
1698 #define __GMPZ_FITS_UTYPE_P(z,maxval) \
1699 mp_size_t __gmp_n = z->_mp_size; \
1700 mp_ptr __gmp_p = z->_mp_d; \
1701 return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval));
1703 #define __GMPZ_FITS_UTYPE_P(z,maxval) \
1704 mp_size_t __gmp_n = z->_mp_size; \
1705 mp_ptr __gmp_p = z->_mp_d; \
1706 return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval) \
1707 || (__gmp_n == 2 && __gmp_p[1] <= ((mp_limb_t) maxval >> GMP_NUMB_BITS)));
1710 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_uint_p)
1711 #if ! defined (__GMP_FORCE_mpz_fits_uint_p)
1715 mpz_fits_uint_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1717 __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_UINT_MAX);
1721 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ulong_p)
1722 #if ! defined (__GMP_FORCE_mpz_fits_ulong_p)
1726 mpz_fits_ulong_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1728 __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_ULONG_MAX);
1732 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ushort_p)
1733 #if ! defined (__GMP_FORCE_mpz_fits_ushort_p)
1737 mpz_fits_ushort_p (mpz_srcptr __gmp_z) __GMP_NOTHROW
1739 __GMPZ_FITS_UTYPE_P (__gmp_z, __GMP_USHRT_MAX);
1743 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_get_ui)
1744 #if ! defined (__GMP_FORCE_mpz_get_ui)
1748 mpz_get_ui (mpz_srcptr __gmp_z) __GMP_NOTHROW
1750 mp_ptr __gmp_p = __gmp_z->_mp_d;
1751 mp_size_t __gmp_n = __gmp_z->_mp_size;
1752 mp_limb_t __gmp_l = __gmp_p[0];
1753 /* This is a "#if" rather than a plain "if" so as to avoid gcc warnings
1754 about "<< GMP_NUMB_BITS" exceeding the type size, and to avoid Borland
1755 C++ 6.0 warnings about condition always true for something like
1756 "__GMP_ULONG_MAX < GMP_NUMB_MASK". */
1757 #if GMP_NAIL_BITS == 0 || defined (_LONG_LONG_LIMB)
1758 /* limb==long and no nails, or limb==longlong, one limb is enough */
1759 return (__gmp_n != 0 ? __gmp_l : 0);
1761 /* limb==long and nails, need two limbs when available */
1762 __gmp_n = __GMP_ABS (__gmp_n);
1764 return (__gmp_n != 0 ? __gmp_l : 0);
1766 return __gmp_l + (__gmp_p[1] << GMP_NUMB_BITS);
1771 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_getlimbn)
1772 #if ! defined (__GMP_FORCE_mpz_getlimbn)
1776 mpz_getlimbn (mpz_srcptr __gmp_z, mp_size_t __gmp_n) __GMP_NOTHROW
1778 mp_limb_t __gmp_result = 0;
1779 if (__GMP_LIKELY (__gmp_n >= 0 && __gmp_n < __GMP_ABS (__gmp_z->_mp_size)))
1780 __gmp_result = __gmp_z->_mp_d[__gmp_n];
1781 return __gmp_result;
1785 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_neg)
1786 __GMP_EXTERN_INLINE void
1787 mpz_neg (mpz_ptr __gmp_w, mpz_srcptr __gmp_u)
1789 if (__gmp_w != __gmp_u)
1790 mpz_set (__gmp_w, __gmp_u);
1791 __gmp_w->_mp_size = - __gmp_w->_mp_size;
1795 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_perfect_square_p)
1796 #if ! defined (__GMP_FORCE_mpz_perfect_square_p)
1800 mpz_perfect_square_p (mpz_srcptr __gmp_a)
1802 mp_size_t __gmp_asize;
1805 __gmp_asize = __gmp_a->_mp_size;
1806 __gmp_result = (__gmp_asize >= 0); /* zero is a square, negatives are not */
1807 if (__GMP_LIKELY (__gmp_asize > 0))
1808 __gmp_result = mpn_perfect_square_p (__gmp_a->_mp_d, __gmp_asize);
1809 return __gmp_result;
1813 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_popcount)
1814 #if ! defined (__GMP_FORCE_mpz_popcount)
1818 mpz_popcount (mpz_srcptr __gmp_u) __GMP_NOTHROW
1820 mp_size_t __gmp_usize;
1821 mp_bitcnt_t __gmp_result;
1823 __gmp_usize = __gmp_u->_mp_size;
1824 __gmp_result = (__gmp_usize < 0 ? __GMP_ULONG_MAX : 0);
1825 if (__GMP_LIKELY (__gmp_usize > 0))
1826 __gmp_result = mpn_popcount (__gmp_u->_mp_d, __gmp_usize);
1827 return __gmp_result;
1831 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_set_q)
1832 #if ! defined (__GMP_FORCE_mpz_set_q)
1836 mpz_set_q (mpz_ptr __gmp_w, mpq_srcptr __gmp_u)
1838 mpz_tdiv_q (__gmp_w, mpq_numref (__gmp_u), mpq_denref (__gmp_u));
1842 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_size)
1843 #if ! defined (__GMP_FORCE_mpz_size)
1847 mpz_size (mpz_srcptr __gmp_z) __GMP_NOTHROW
1849 return __GMP_ABS (__gmp_z->_mp_size);
1854 /**************** mpq inlines ****************/
1856 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_abs)
1857 __GMP_EXTERN_INLINE void
1858 mpq_abs (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1860 if (__gmp_w != __gmp_u)
1861 mpq_set (__gmp_w, __gmp_u);
1862 __gmp_w->_mp_num._mp_size = __GMP_ABS (__gmp_w->_mp_num._mp_size);
1866 #if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_neg)
1867 __GMP_EXTERN_INLINE void
1868 mpq_neg (mpq_ptr __gmp_w, mpq_srcptr __gmp_u)
1870 if (__gmp_w != __gmp_u)
1871 mpq_set (__gmp_w, __gmp_u);
1872 __gmp_w->_mp_num._mp_size = - __gmp_w->_mp_num._mp_size;
1877 /**************** mpn inlines ****************/
1879 /* The comments with __GMPN_ADD_1 below apply here too.
1881 The test for FUNCTION returning 0 should predict well. If it's assumed
1882 {yp,ysize} will usually have a random number of bits then the high limb
1883 won't be full and a carry out will occur a good deal less than 50% of the
1886 ysize==0 isn't a documented feature, but is used internally in a few
1889 Producing cout last stops it using up a register during the main part of
1890 the calculation, though gcc (as of 3.0) on an "if (mpn_add (...))"
1891 doesn't seem able to move the true and false legs of the conditional up
1892 to the two places cout is generated. */
1894 #define __GMPN_AORS(cout, wp, xp, xsize, yp, ysize, FUNCTION, TEST) \
1896 mp_size_t __gmp_i; \
1897 mp_limb_t __gmp_x; \
1899 /* ASSERT ((ysize) >= 0); */ \
1900 /* ASSERT ((xsize) >= (ysize)); */ \
1901 /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, xp, xsize)); */ \
1902 /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, yp, ysize)); */ \
1904 __gmp_i = (ysize); \
1907 if (FUNCTION (wp, xp, yp, __gmp_i)) \
1911 if (__gmp_i >= (xsize)) \
1916 __gmp_x = (xp)[__gmp_i]; \
1922 __GMPN_COPY_REST (wp, xp, xsize, __gmp_i); \
1928 #define __GMPN_ADD(cout, wp, xp, xsize, yp, ysize) \
1929 __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_add_n, \
1930 (((wp)[__gmp_i++] = (__gmp_x + 1) & GMP_NUMB_MASK) == 0))
1931 #define __GMPN_SUB(cout, wp, xp, xsize, yp, ysize) \
1932 __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_sub_n, \
1933 (((wp)[__gmp_i++] = (__gmp_x - 1) & GMP_NUMB_MASK), __gmp_x == 0))
1936 /* The use of __gmp_i indexing is designed to ensure a compile time src==dst
1937 remains nice and clear to the compiler, so that __GMPN_COPY_REST can
1938 disappear, and the load/add/store gets a chance to become a
1939 read-modify-write on CISC CPUs.
1943 Using a pair of pointers instead of indexing would be possible, but gcc
1944 isn't able to recognise compile-time src==dst in that case, even when the
1945 pointers are incremented more or less together. Other compilers would
1946 very likely have similar difficulty.
1948 gcc could use "if (__builtin_constant_p(src==dst) && src==dst)" or
1949 similar to detect a compile-time src==dst. This works nicely on gcc
1950 2.95.x, it's not good on gcc 3.0 where __builtin_constant_p(p==p) seems
1951 to be always false, for a pointer p. But the current code form seems
1952 good enough for src==dst anyway.
1954 gcc on x86 as usual doesn't give particularly good flags handling for the
1955 carry/borrow detection. It's tempting to want some multi instruction asm
1956 blocks to help it, and this was tried, but in truth there's only a few
1957 instructions to save and any gain is all too easily lost by register
1958 juggling setting up for the asm. */
1960 #if GMP_NAIL_BITS == 0
1961 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB) \
1963 mp_size_t __gmp_i; \
1964 mp_limb_t __gmp_x, __gmp_r; \
1966 /* ASSERT ((n) >= 1); */ \
1967 /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */ \
1969 __gmp_x = (src)[0]; \
1970 __gmp_r = __gmp_x OP (v); \
1971 (dst)[0] = __gmp_r; \
1972 if (CB (__gmp_r, __gmp_x, (v))) \
1975 for (__gmp_i = 1; __gmp_i < (n);) \
1977 __gmp_x = (src)[__gmp_i]; \
1978 __gmp_r = __gmp_x OP 1; \
1979 (dst)[__gmp_i] = __gmp_r; \
1981 if (!CB (__gmp_r, __gmp_x, 1)) \
1983 if ((src) != (dst)) \
1984 __GMPN_COPY_REST (dst, src, n, __gmp_i); \
1992 if ((src) != (dst)) \
1993 __GMPN_COPY_REST (dst, src, n, 1); \
1999 #if GMP_NAIL_BITS >= 1
2000 #define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB) \
2002 mp_size_t __gmp_i; \
2003 mp_limb_t __gmp_x, __gmp_r; \
2005 /* ASSERT ((n) >= 1); */ \
2006 /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */ \
2008 __gmp_x = (src)[0]; \
2009 __gmp_r = __gmp_x OP (v); \
2010 (dst)[0] = __gmp_r & GMP_NUMB_MASK; \
2011 if (__gmp_r >> GMP_NUMB_BITS != 0) \
2014 for (__gmp_i = 1; __gmp_i < (n);) \
2016 __gmp_x = (src)[__gmp_i]; \
2017 __gmp_r = __gmp_x OP 1; \
2018 (dst)[__gmp_i] = __gmp_r & GMP_NUMB_MASK; \
2020 if (__gmp_r >> GMP_NUMB_BITS == 0) \
2022 if ((src) != (dst)) \
2023 __GMPN_COPY_REST (dst, src, n, __gmp_i); \
2031 if ((src) != (dst)) \
2032 __GMPN_COPY_REST (dst, src, n, 1); \
2038 #define __GMPN_ADDCB(r,x,y) ((r) < (y))
2039 #define __GMPN_SUBCB(r,x,y) ((x) < (y))
2041 #define __GMPN_ADD_1(cout, dst, src, n, v) \
2042 __GMPN_AORS_1(cout, dst, src, n, v, +, __GMPN_ADDCB)
2043 #define __GMPN_SUB_1(cout, dst, src, n, v) \
2044 __GMPN_AORS_1(cout, dst, src, n, v, -, __GMPN_SUBCB)
2047 /* Compare {xp,size} and {yp,size}, setting "result" to positive, zero or
2048 negative. size==0 is allowed. On random data usually only one limb will
2049 need to be examined to get a result, so it's worth having it inline. */
2050 #define __GMPN_CMP(result, xp, yp, size) \
2052 mp_size_t __gmp_i; \
2053 mp_limb_t __gmp_x, __gmp_y; \
2055 /* ASSERT ((size) >= 0); */ \
2059 while (--__gmp_i >= 0) \
2061 __gmp_x = (xp)[__gmp_i]; \
2062 __gmp_y = (yp)[__gmp_i]; \
2063 if (__gmp_x != __gmp_y) \
2065 /* Cannot use __gmp_x - __gmp_y, may overflow an "int" */ \
2066 (result) = (__gmp_x > __gmp_y ? 1 : -1); \
2073 #if defined (__GMPN_COPY) && ! defined (__GMPN_COPY_REST)
2074 #define __GMPN_COPY_REST(dst, src, size, start) \
2076 /* ASSERT ((start) >= 0); */ \
2077 /* ASSERT ((start) <= (size)); */ \
2078 __GMPN_COPY ((dst)+(start), (src)+(start), (size)-(start)); \
2082 /* Copy {src,size} to {dst,size}, starting at "start". This is designed to
2083 keep the indexing dst[j] and src[j] nice and simple for __GMPN_ADD_1,
2085 #if ! defined (__GMPN_COPY_REST)
2086 #define __GMPN_COPY_REST(dst, src, size, start) \
2088 mp_size_t __gmp_j; \
2089 /* ASSERT ((size) >= 0); */ \
2090 /* ASSERT ((start) >= 0); */ \
2091 /* ASSERT ((start) <= (size)); */ \
2092 /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */ \
2093 __GMP_CRAY_Pragma ("_CRI ivdep"); \
2094 for (__gmp_j = (start); __gmp_j < (size); __gmp_j++) \
2095 (dst)[__gmp_j] = (src)[__gmp_j]; \
2099 /* Enhancement: Use some of the smarter code from gmp-impl.h. Maybe use
2100 mpn_copyi if there's a native version, and if we don't mind demanding
2101 binary compatibility for it (on targets which use it). */
2103 #if ! defined (__GMPN_COPY)
2104 #define __GMPN_COPY(dst, src, size) __GMPN_COPY_REST (dst, src, size, 0)
2108 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add)
2109 #if ! defined (__GMP_FORCE_mpn_add)
2113 mpn_add (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2116 __GMPN_ADD (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2121 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add_1)
2122 #if ! defined (__GMP_FORCE_mpn_add_1)
2126 mpn_add_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2129 __GMPN_ADD_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2134 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_cmp)
2135 #if ! defined (__GMP_FORCE_mpn_cmp)
2139 mpn_cmp (mp_srcptr __gmp_xp, mp_srcptr __gmp_yp, mp_size_t __gmp_size) __GMP_NOTHROW
2142 __GMPN_CMP (__gmp_result, __gmp_xp, __gmp_yp, __gmp_size);
2143 return __gmp_result;
2147 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub)
2148 #if ! defined (__GMP_FORCE_mpn_sub)
2152 mpn_sub (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize)
2155 __GMPN_SUB (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize);
2160 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub_1)
2161 #if ! defined (__GMP_FORCE_mpn_sub_1)
2165 mpn_sub_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW
2168 __GMPN_SUB_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n);
2173 #if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_neg)
2174 #if ! defined (__GMP_FORCE_mpn_neg)
2178 mpn_neg (mp_ptr __gmp_rp, mp_srcptr __gmp_up, mp_size_t __gmp_n)
2180 mp_limb_t __gmp_ul, __gmp_cy;
2183 __gmp_ul = *__gmp_up++;
2184 *__gmp_rp++ = -__gmp_ul - __gmp_cy;
2185 __gmp_cy |= __gmp_ul != 0;
2186 } while (--__gmp_n != 0);
2191 #if defined (__cplusplus)
2196 /* Allow faster testing for negative, zero, and positive. */
2197 #define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0)
2198 #define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0)
2199 #define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0)
2201 /* When using GCC, optimize certain common comparisons. */
2202 #if defined (__GNUC__) && __GNUC__ >= 2
2203 #define mpz_cmp_ui(Z,UI) \
2204 (__builtin_constant_p (UI) && (UI) == 0 \
2205 ? mpz_sgn (Z) : _mpz_cmp_ui (Z,UI))
2206 #define mpz_cmp_si(Z,SI) \
2207 (__builtin_constant_p (SI) && (SI) == 0 ? mpz_sgn (Z) \
2208 : __builtin_constant_p (SI) && (SI) > 0 \
2209 ? _mpz_cmp_ui (Z, __GMP_CAST (unsigned long int, SI)) \
2210 : _mpz_cmp_si (Z,SI))
2211 #define mpq_cmp_ui(Q,NUI,DUI) \
2212 (__builtin_constant_p (NUI) && (NUI) == 0 \
2213 ? mpq_sgn (Q) : _mpq_cmp_ui (Q,NUI,DUI))
2214 #define mpq_cmp_si(q,n,d) \
2215 (__builtin_constant_p ((n) >= 0) && (n) >= 0 \
2216 ? mpq_cmp_ui (q, __GMP_CAST (unsigned long, n), d) \
2217 : _mpq_cmp_si (q, n, d))
2219 #define mpz_cmp_ui(Z,UI) _mpz_cmp_ui (Z,UI)
2220 #define mpz_cmp_si(Z,UI) _mpz_cmp_si (Z,UI)
2221 #define mpq_cmp_ui(Q,NUI,DUI) _mpq_cmp_ui (Q,NUI,DUI)
2222 #define mpq_cmp_si(q,n,d) _mpq_cmp_si(q,n,d)
2226 /* Using "&" rather than "&&" means these can come out branch-free. Every
2227 mpz_t has at least one limb allocated, so fetching the low limb is always
2229 #define mpz_odd_p(z) (((z)->_mp_size != 0) & __GMP_CAST (int, (z)->_mp_d[0]))
2230 #define mpz_even_p(z) (! mpz_odd_p (z))
2233 /**************** C++ routines ****************/
2236 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpz_srcptr);
2237 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpq_srcptr);
2238 __GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpf_srcptr);
2239 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpz_ptr);
2240 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpq_ptr);
2241 __GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpf_ptr);
2245 /* Source-level compatibility with GMP 2 and earlier. */
2246 #define mpn_divmod(qp,np,nsize,dp,dsize) \
2247 mpn_divrem (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dp, dsize)
2249 /* Source-level compatibility with GMP 1. */
2250 #define mpz_mdiv mpz_fdiv_q
2251 #define mpz_mdivmod mpz_fdiv_qr
2252 #define mpz_mmod mpz_fdiv_r
2253 #define mpz_mdiv_ui mpz_fdiv_q_ui
2254 #define mpz_mdivmod_ui(q,r,n,d) \
2255 (((r) == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d))
2256 #define mpz_mmod_ui(r,n,d) \
2257 (((r) == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d))
2259 /* Useful synonyms, but not quite compatible with GMP 1. */
2260 #define mpz_div mpz_fdiv_q
2261 #define mpz_divmod mpz_fdiv_qr
2262 #define mpz_div_ui mpz_fdiv_q_ui
2263 #define mpz_divmod_ui mpz_fdiv_qr_ui
2264 #define mpz_div_2exp mpz_fdiv_q_2exp
2265 #define mpz_mod_2exp mpz_fdiv_r_2exp
2270 GMP_ERROR_UNSUPPORTED_ARGUMENT = 1,
2271 GMP_ERROR_DIVISION_BY_ZERO = 2,
2272 GMP_ERROR_SQRT_OF_NEGATIVE = 4,
2273 GMP_ERROR_INVALID_ARGUMENT = 8
2276 /* Define CC and CFLAGS which were used to build this version of GMP */
2277 #define __GMP_CC "gcc -std=gnu99"
2278 #define __GMP_CFLAGS "-O2 -pedantic"
2280 /* Major version number is the value of __GNU_MP__ too, above and in mp.h. */
2281 #define __GNU_MP_VERSION 5
2282 #define __GNU_MP_VERSION_MINOR 0
2283 #define __GNU_MP_VERSION_PATCHLEVEL 5
2284 #define __GNU_MP_RELEASE (__GNU_MP_VERSION * 10000 + __GNU_MP_VERSION_MINOR * 100 + __GNU_MP_VERSION_PATCHLEVEL)
2287 #endif /* __GMP_H__ */