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gmp-impl.h
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gmp-impl.h
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/* Include file for internal GNU MP types and definitions.
THE CONTENTS OF THIS FILE ARE FOR INTERNAL USE AND ARE ALMOST CERTAIN TO
BE SUBJECT TO INCOMPATIBLE CHANGES IN FUTURE GNU MP RELEASES.
Copyright 1991, 1993-1997, 1999, 2000-2015 Free Software Foundation, Inc.
Copyright 2009, 2013 William Hart
This file is part of the GNU MP Library.
The GNU MP Library is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 3 of the License, or (at your
option) any later version.
The GNU MP Library is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
License for more details.
You should have received a copy of the GNU Lesser General Public License
along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */
/* __GMP_DECLSPEC must be given on any global data that will be accessed
from outside libmpir, meaning from the test or development programs, or
from libmpirxx. Failing to do this will result in an incorrect address
being used for the accesses. On functions __GMP_DECLSPEC makes calls
from outside libmpir more efficient, but they'll still work fine without
it. */
#ifndef __GMP_IMPL_H__
#define __GMP_IMPL_H__
/* limits.h is not used in general, since it's an ANSI-ism, and since on
solaris gcc 2.95 under -mcpu=ultrasparc in ABI=32 ends up getting wrong
values (the ABI=64 values).
On Cray vector systems, however, we need the system limits.h since sizes
of signed and unsigned types can differ there, depending on compiler
options (eg. -hnofastmd), making our SHRT_MAX etc expressions fail. For
reference, int can be 46 or 64 bits, whereas uint is always 64 bits; and
short can be 24, 32, 46 or 64 bits, and different for ushort. */
#if defined _WIN64
#include <limits.h>
#endif
/* For fat.h and other fat binary stuff.
No need for __GMP_ATTRIBUTE_PURE or __GMP_NOTHROW, since functions
declared this way are only used to set function pointers in __gmp_cpuvec,
they're not called directly. */
#define DECL_add_err1_n(name) \
mp_limb_t name(mp_ptr, mp_srcptr, mp_srcptr, mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)
#define DECL_add_err2_n(name) \
mp_limb_t name(mp_ptr, mp_srcptr, mp_srcptr, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t, mp_limb_t)
#define DECL_add_n(name) \
mp_limb_t name(mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)
#define DECL_addmul_1(name) \
mp_limb_t name(mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)
#define DECL_copyd(name) \
void name(mp_ptr, mp_srcptr, mp_size_t)
#define DECL_copyi(name) \
void name(mp_ptr, mp_srcptr, mp_size_t)
#define DECL_divexact_1(name) \
void name(mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)
#define DECL_divexact_by3c(name) \
mp_limb_t name(mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)
#define DECL_divexact_byfobm1(name) \
mp_limb_t name(mp_ptr, mp_srcptr, mp_size_t, mp_limb_t,mp_limb_t)
#define DECL_divrem_1(name) \
mp_limb_t name(mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t)
#define DECL_divrem_2(name) \
mp_limb_t name(mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr)
#define DECL_divrem_euclidean_qr_1(name) \
mp_limb_t name(mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t)
#define DECL_divrem_euclidean_qr_2(name) \
mp_limb_t name(mp_ptr, mp_ptr, mp_size_t, mp_srcptr)
#define DECL_gcd_1(name) \
mp_limb_t name(mp_srcptr, mp_size_t, mp_limb_t)
#define DECL_lshift(name) \
mp_limb_t name(mp_ptr, mp_srcptr, mp_size_t, unsigned)
#define DECL_mod_1(name) \
mp_limb_t name(mp_srcptr, mp_size_t, mp_limb_t)
#define DECL_mod_34lsub1(name) \
mp_limb_t name(mp_srcptr, mp_size_t)
#define DECL_modexact_1c_odd(name) \
mp_limb_t name(mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t)
#define DECL_mul_1(name) \
DECL_addmul_1 (name)
#define DECL_mul_basecase(name) \
void name(mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t)
#define DECL_mulmid_basecase(name) \
void name(mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t)
#define DECL_preinv_divrem_1(name) \
mp_limb_t name(mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t, int)
#define DECL_preinv_mod_1(name) \
mp_limb_t name(mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t)
#define DECL_redc_1(name) \
void name(mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)
#define DECL_rshift(name) \
DECL_lshift (name)
#define DECL_sqr_basecase(name) \
void name(mp_ptr, mp_srcptr, mp_size_t)
#define DECL_sub_err1_n(name) \
mp_limb_t name(mp_ptr, mp_srcptr, mp_srcptr, mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)
#define DECL_sub_err2_n(name) \
mp_limb_t name(mp_ptr, mp_srcptr, mp_srcptr, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t, mp_limb_t)
#define DECL_sub_n(name) \
DECL_add_n (name)
#define DECL_submul_1(name) \
DECL_addmul_1 (name)
#define DECL_sumdiff_n(name) \
mp_limb_t name(mp_ptr, mp_ptr, mp_srcptr,mp_srcptr,mp_size_t)
#define DECL_nsumdiff_n(name) \
DECL_sumdiff_n(name)
#if ! __GMP_WITHIN_CONFIGURE
#include "config.h"
#include "gmp-mparam.h"
/* These constants are generated by gen-fib.c header limbbits nailbits */
#if GMP_NUMB_BITS == 32
#define FIB_TABLE_LIMIT 47
#define FIB_TABLE_LUCNUM_LIMIT 46
#endif /* 32 bits */
#if GMP_NUMB_BITS == 64
#define FIB_TABLE_LIMIT 93
#define FIB_TABLE_LUCNUM_LIMIT 92
#endif /* 64 bits */
/* This constants are generated by gen-bases.c header limbbits nailbits */
#if GMP_NUMB_BITS == 32
#define MP_BASES_CHARS_PER_LIMB_10 9
#define MP_BASES_BIG_BASE_10 CNST_LIMB(0x3b9aca00)
#define MP_BASES_BIG_BASE_INVERTED_10 CNST_LIMB(0x12e0be82)
#define MP_BASES_NORMALIZATION_STEPS_10 2
#endif /* 32 bits */
#if GMP_NUMB_BITS == 64
#define MP_BASES_CHARS_PER_LIMB_10 19
#define MP_BASES_BIG_BASE_10 CNST_LIMB(0x8ac7230489e80000)
#define MP_BASES_BIG_BASE_INVERTED_10 CNST_LIMB(0xd83c94fb6d2ac34a)
#define MP_BASES_NORMALIZATION_STEPS_10 0
#endif /* 64 bits */
#if defined _LONG_LONG_LIMB
#if __GMP_HAVE_TOKEN_PASTE
#define CNST_LIMB(C) ((mp_limb_t) C##LL)
#else
#define CNST_LIMB(C) ((mp_limb_t) C/**/LL)
#endif
#else /* not _LONG_LONG_LIMB */
#if __GMP_HAVE_TOKEN_PASTE
#define CNST_LIMB(C) ((mp_limb_t) C##L)
#else
#define CNST_LIMB(C) ((mp_limb_t) C/**/L)
#endif
#endif /* _LONG_LONG_LIMB */
/* This constants and defines are generated by gen-psqr limbbits nailbits */
#if GMP_LIMB_BITS == 32 && GMP_NAIL_BITS == 0
/* Non-zero bit indicates a quadratic residue mod 0x100.
This test identifies 82.81% as non-squares (212/256). */
static const mp_limb_t
sq_res_0x100[8] = {
CNST_LIMB(0x2030213),
CNST_LIMB(0x2020212),
CNST_LIMB(0x2020213),
CNST_LIMB(0x2020212),
CNST_LIMB(0x2030212),
CNST_LIMB(0x2020212),
CNST_LIMB(0x2020212),
CNST_LIMB(0x2020212),
};
/* 2^24-1 = 3^2 * 5 * 7 * 13 * 17 ... */
#define PERFSQR_MOD_BITS 25
/* This test identifies 95.66% as non-squares. */
#define PERFSQR_MOD_TEST(up, usize) \
do { \
mp_limb_t r; \
PERFSQR_MOD_34 (r, up, usize); \
\
/* 73.33% */ \
PERFSQR_MOD_2 (r, CNST_LIMB(45), CNST_LIMB(0xfa4fa5), \
CNST_LIMB(0x920), CNST_LIMB(0x1a442481)); \
\
/* 47.06% */ \
PERFSQR_MOD_1 (r, CNST_LIMB(17), CNST_LIMB(0xf0f0f1), \
CNST_LIMB(0x1a317)); \
\
/* 46.15% */ \
PERFSQR_MOD_1 (r, CNST_LIMB(13), CNST_LIMB(0xec4ec5), \
CNST_LIMB(0x9e5)); \
\
/* 42.86% */ \
PERFSQR_MOD_1 (r, CNST_LIMB( 7), CNST_LIMB(0xdb6db7), \
CNST_LIMB(0x69)); \
} while (0)
/* Grand total sq_res_0x100 and PERFSQR_MOD_TEST, 99.25% non-squares. */
/* helper for tests/mpz/t-perfsqr.c */
#define PERFSQR_DIVISORS { 256, 45, 17, 13, 7, }
#elif GMP_LIMB_BITS == 64 && GMP_NAIL_BITS == 0
/* Non-zero bit indicates a quadratic residue mod 0x100.
This test identifies 82.81% as non-squares (212/256). */
static const mp_limb_t
sq_res_0x100[4] = {
CNST_LIMB(0x202021202030213),
CNST_LIMB(0x202021202020213),
CNST_LIMB(0x202021202030212),
CNST_LIMB(0x202021202020212),
};
/* 2^48-1 = 3^2 * 5 * 7 * 13 * 17 * 97 ... */
#define PERFSQR_MOD_BITS 49
/* This test identifies 97.81% as non-squares. */
#define PERFSQR_MOD_TEST(up, usize) \
do { \
mp_limb_t r; \
PERFSQR_MOD_34 (r, up, usize); \
\
/* 69.23% */ \
PERFSQR_MOD_2 (r, CNST_LIMB(91), CNST_LIMB(0xfd2fd2fd2fd3), \
CNST_LIMB(0x2191240), CNST_LIMB(0x8850a206953820e1)); \
\
/* 68.24% */ \
PERFSQR_MOD_2 (r, CNST_LIMB(85), CNST_LIMB(0xfcfcfcfcfcfd), \
CNST_LIMB(0x82158), CNST_LIMB(0x10b48c4b4206a105)); \
\
/* 55.56% */ \
PERFSQR_MOD_1 (r, CNST_LIMB( 9), CNST_LIMB(0xe38e38e38e39), \
CNST_LIMB(0x93)); \
\
/* 49.48% */ \
PERFSQR_MOD_2 (r, CNST_LIMB(97), CNST_LIMB(0xfd5c5f02a3a1), \
CNST_LIMB(0x1eb628b47), CNST_LIMB(0x6067981b8b451b5f)); \
} while (0)
/* Grand total sq_res_0x100 and PERFSQR_MOD_TEST, 99.62% non-squares. */
/* helper for tests/mpz/t-perfsqr.c */
#define PERFSQR_DIVISORS { 256, 91, 85, 9, 97, }
#else
#error no data available for this limb size in perfsqr.h
#endif
#if WANT_FAT_BINARY
#include "fat.h"
#endif
#endif
#if HAVE_INTTYPES_H /* for uint_least32_t */
# include <inttypes.h>
#else
# ifdef HAVE_STDINT_H
# include <stdint.h>
# endif
#endif
#ifdef __cplusplus
#include <cstring> /* for strlen */
#include <string> /* for std::string */
#endif
#ifndef WANT_TMP_DEBUG /* for TMP_ALLOC_LIMBS_2 and others */
#define WANT_TMP_DEBUG 0
#endif
/* The following tries to get a good version of alloca. The tests are
adapted from autoconf AC_FUNC_ALLOCA, with a couple of additions.
Whether this succeeds is tested by GMP_FUNC_ALLOCA and HAVE_ALLOCA will
be setup appropriately.
ifndef alloca - a cpp define might already exist.
glibc <stdlib.h> includes <alloca.h> which uses GCC __builtin_alloca.
HP cc +Olibcalls adds a #define of alloca to __builtin_alloca.
GCC __builtin_alloca - preferred whenever available.
_AIX pragma - IBM compilers need a #pragma in "each module that needs to
use alloca". Pragma indented to protect pre-ANSI cpp's. _IBMR2 was
used in past versions of GMP, retained still in case it matters.
The autoconf manual says this pragma needs to be at the start of a C
file, apart from comments and preprocessor directives. Is that true?
xlc on aix 4.xxx doesn't seem to mind it being after prototypes etc
from mpir.h.
*/
#ifndef alloca
# ifdef __GNUC__
# define alloca __builtin_alloca
# else
# ifdef __DECC
# define alloca(x) __ALLOCA(x)
# else
# ifdef _MSC_VER
# include <malloc.h>
# define alloca _alloca
# else
# if HAVE_ALLOCA_H
# include <alloca.h>
# else
# if defined (_AIX) || defined (_IBMR2)
#pragma alloca
# else
char *alloca ();
# endif
# endif
# endif
# endif
# endif
#endif
/* if not provided by gmp-mparam.h */
#ifndef BYTES_PER_MP_LIMB
#define BYTES_PER_MP_LIMB SIZEOF_MP_LIMB_T
#endif
#ifndef BITS_PER_MP_LIMB
#define BITS_PER_MP_LIMB (8 * SIZEOF_MP_LIMB_T)
#endif
#define BITS_PER_ULONG (8 * SIZEOF_UNSIGNED_LONG)
#ifdef HAVE_STDINT_H
#define BITS_PER_UINTMAX (8 * SIZEOF_UINTMAX_T)
#endif
/* gmp_uint_least32_t is an unsigned integer type with at least 32 bits. */
#if HAVE_UINT_LEAST32_T
typedef uint_least32_t gmp_uint_least32_t;
#else
#if SIZEOF_UNSIGNED_SHORT >= 4
typedef unsigned short gmp_uint_least32_t;
#else
#if SIZEOF_UNSIGNED >= 4
typedef unsigned gmp_uint_least32_t;
#else
typedef unsigned long gmp_uint_least32_t;
#endif
#endif
#endif
/* pre-inverse types for truncating division and modulo */
typedef struct {mp_limb_t inv32;} gmp_pi1_t;
typedef struct {mp_limb_t inv21, inv32, inv53;} gmp_pi2_t;
/* const and signed must match __gmp_const and __gmp_signed, so follow the
decision made for those in mpir.h. */
#if ! __GMP_HAVE_CONST
#define const /* empty */
#define signed /* empty */
#endif
/* "const" basically means a function does nothing but examine its arguments
and give a return value, it doesn't read or write any memory (neither
global nor pointed to by arguments), and has no other side-effects. This
is more restrictive than "pure". See info node "(gcc)Function
Attributes". __GMP_NO_ATTRIBUTE_CONST_PURE lets tune/common.c etc turn
this off when trying to write timing loops. */
#if HAVE_ATTRIBUTE_CONST && ! defined (__GMP_NO_ATTRIBUTE_CONST_PURE) && !( defined (__cplusplus) && defined (__sun))
#define ATTRIBUTE_CONST __attribute__ ((const))
#else
#define ATTRIBUTE_CONST
#endif
#if HAVE_ATTRIBUTE_NORETURN && !( defined (__cplusplus) && defined (__sun))
#define ATTRIBUTE_NORETURN __attribute__ ((noreturn))
#else
#define ATTRIBUTE_NORETURN
#endif
/* "malloc" means a function behaves like malloc in that the pointer it
returns doesn't alias anything. */
#if HAVE_ATTRIBUTE_MALLOC && !( defined (__cplusplus) && defined (__sun))
#define ATTRIBUTE_MALLOC __attribute__ ((malloc))
#else
#define ATTRIBUTE_MALLOC
#endif
/* va_copy is standard in C99, and gcc provides __va_copy when in strict C89
mode. Falling back to a memcpy will give maximum portability, since it
works no matter whether va_list is a pointer, struct or array. */
#if ! defined (va_copy) && defined (__va_copy)
#define va_copy(dst,src) __va_copy(dst,src)
#endif
#if ! defined (va_copy)
#define va_copy(dst,src) \
do { memcpy (&(dst), &(src), sizeof (va_list)); } while (0)
#endif
#if defined (__cplusplus)
extern "C" {
#endif
/* Usage: TMP_DECL;
TMP_MARK;
ptr = TMP_ALLOC (bytes);
TMP_FREE;
Small allocations should use TMP_SALLOC, big allocations should use
TMP_BALLOC. Allocations that might be small or big should use TMP_ALLOC.
Functions that use just TMP_SALLOC should use TMP_SDECL, TMP_SMARK, and
TMP_SFREE.
TMP_DECL just declares a variable, but might be empty and so must be last
in a list of variables. TMP_MARK must be done before any TMP_ALLOC.
TMP_ALLOC(0) is not allowed. TMP_FREE doesn't need to be done if a
TMP_MARK was made, but then no TMP_ALLOCs. */
/* The alignment in bytes, used for TMP_ALLOCed blocks, when alloca or
__gmp_allocate_func doesn't already determine it. Currently TMP_ALLOC
isn't used for "double"s, so that's not in the union. */
union tmp_align_t {
mp_limb_t l;
char *p;
};
#define __TMP_ALIGN sizeof (union tmp_align_t)
/* Return "a" rounded upwards to a multiple of "m", if it isn't already.
"a" must be an unsigned type.
This is designed for use with a compile-time constant "m".
The POW2 case is expected to be usual, and gcc 3.0 and up recognises
"(-(8*n))%8" or the like is always zero, which means the rounding up in
the WANT_TMP_NOTREENTRANT version of TMP_ALLOC below will be a noop. */
#define ROUND_UP_MULTIPLE(a,m) \
(POW2_P(m) ? (a) + (-(a))%(m) \
: (a)+(m)-1 - (((a)+(m)-1) % (m)))
#if defined (WANT_TMP_ALLOCA) || defined (WANT_TMP_REENTRANT)
struct tmp_reentrant_t {
struct tmp_reentrant_t *next;
size_t size; /* bytes, including header */
};
__GMP_DECLSPEC void *__gmp_tmp_reentrant_alloc(struct tmp_reentrant_t **, size_t) ATTRIBUTE_MALLOC;
__GMP_DECLSPEC void __gmp_tmp_reentrant_free(struct tmp_reentrant_t *);
#endif
#if WANT_TMP_ALLOCA
#define TMP_SDECL
#define TMP_DECL struct tmp_reentrant_t *__tmp_marker
#define TMP_SMARK
#define TMP_MARK __tmp_marker = 0
#define TMP_SALLOC(n) alloca(n)
#define TMP_BALLOC(n) __gmp_tmp_reentrant_alloc (&__tmp_marker, n)
#define TMP_ALLOC(n) \
(LIKELY ((n) < 65536) ? TMP_SALLOC(n) : TMP_BALLOC(n))
#define TMP_SFREE
#define TMP_FREE \
do { \
if (UNLIKELY (__tmp_marker != 0)) __gmp_tmp_reentrant_free (__tmp_marker); \
} while (0)
#endif
#if WANT_TMP_REENTRANT
#define TMP_SDECL TMP_DECL
#define TMP_DECL struct tmp_reentrant_t *__tmp_marker
#define TMP_SMARK TMP_MARK
#define TMP_MARK __tmp_marker = 0
#define TMP_SALLOC(n) TMP_ALLOC(n)
#define TMP_BALLOC(n) TMP_ALLOC(n)
#define TMP_ALLOC(n) __gmp_tmp_reentrant_alloc (&__tmp_marker, n)
#define TMP_SFREE TMP_FREE
#define TMP_FREE __gmp_tmp_reentrant_free (__tmp_marker)
#endif
#if WANT_TMP_NOTREENTRANT
struct tmp_marker
{
struct tmp_stack *which_chunk;
void *alloc_point;
};
__GMP_DECLSPEC void *__gmp_tmp_alloc(unsigned long) ATTRIBUTE_MALLOC;
__GMP_DECLSPEC void __gmp_tmp_mark(struct tmp_marker *);
__GMP_DECLSPEC void __gmp_tmp_free(struct tmp_marker *);
#define TMP_SDECL TMP_DECL
#define TMP_DECL struct tmp_marker __tmp_marker
#define TMP_SMARK TMP_MARK
#define TMP_MARK __gmp_tmp_mark (&__tmp_marker)
#define TMP_SALLOC(n) TMP_ALLOC(n)
#define TMP_BALLOC(n) TMP_ALLOC(n)
#define TMP_ALLOC(n) \
__gmp_tmp_alloc (ROUND_UP_MULTIPLE ((unsigned long) (n), __TMP_ALIGN))
#define TMP_SFREE TMP_FREE
#define TMP_FREE __gmp_tmp_free (&__tmp_marker)
#endif
#if WANT_TMP_DEBUG
/* See tal-debug.c for some comments. */
struct tmp_debug_t {
struct tmp_debug_entry_t *list;
const char *file;
int line;
};
struct tmp_debug_entry_t {
struct tmp_debug_entry_t *next;
char *block;
size_t size;
};
__GMP_DECLSPEC void __gmp_tmp_debug_mark(const char *, int, struct tmp_debug_t **,
struct tmp_debug_t *,
const char *, const char *);
__GMP_DECLSPEC void *__gmp_tmp_debug_alloc(const char *, int, int,
struct tmp_debug_t **, const char *,
size_t) ATTRIBUTE_MALLOC;
__GMP_DECLSPEC void __gmp_tmp_debug_free(const char *, int, int,
struct tmp_debug_t **,
const char *, const char *);
#define TMP_SDECL TMP_DECL_NAME(__tmp_xmarker, "__tmp_marker")
#define TMP_DECL TMP_DECL_NAME(__tmp_xmarker, "__tmp_marker")
#define TMP_SMARK TMP_MARK_NAME(__tmp_xmarker, "__tmp_marker")
#define TMP_MARK TMP_MARK_NAME(__tmp_xmarker, "__tmp_marker")
#define TMP_SFREE TMP_FREE_NAME(__tmp_xmarker, "__tmp_marker")
#define TMP_FREE TMP_FREE_NAME(__tmp_xmarker, "__tmp_marker")
/* The marker variable is designed to provoke an uninitialized varialble
warning from the compiler if TMP_FREE is used without a TMP_MARK.
__tmp_marker_inscope does the same for TMP_ALLOC. Runtime tests pick
these things up too. */
#define TMP_DECL_NAME(marker, marker_name) \
int marker; \
int __tmp_marker_inscope; \
const char *__tmp_marker_name = marker_name; \
struct tmp_debug_t __tmp_marker_struct; \
/* don't demand NULL, just cast a zero */ \
struct tmp_debug_t *__tmp_marker = (struct tmp_debug_t *) 0
#define TMP_MARK_NAME(marker, marker_name) \
do { \
marker = 1; \
__tmp_marker_inscope = 1; \
__gmp_tmp_debug_mark (ASSERT_FILE, ASSERT_LINE, \
&__tmp_marker, &__tmp_marker_struct, \
__tmp_marker_name, marker_name); \
} while (0)
#define TMP_SALLOC(n) TMP_ALLOC(n)
#define TMP_BALLOC(n) TMP_ALLOC(n)
#define TMP_ALLOC(size) \
__gmp_tmp_debug_alloc (ASSERT_FILE, ASSERT_LINE, \
__tmp_marker_inscope, \
&__tmp_marker, __tmp_marker_name, size)
#define TMP_FREE_NAME(marker, marker_name) \
do { \
__gmp_tmp_debug_free (ASSERT_FILE, ASSERT_LINE, \
marker, &__tmp_marker, \
__tmp_marker_name, marker_name); \
} while (0)
#endif /* WANT_TMP_DEBUG */
/* Allocating various types. */
#define TMP_ALLOC_TYPE(n,type) ((type *) TMP_ALLOC ((n) * sizeof (type)))
#define TMP_SALLOC_TYPE(n,type) ((type *) TMP_SALLOC ((n) * sizeof (type)))
#define TMP_BALLOC_TYPE(n,type) ((type *) TMP_BALLOC ((n) * sizeof (type)))
#define TMP_ALLOC_LIMBS(n) TMP_ALLOC_TYPE(n,mp_limb_t)
#define TMP_SALLOC_LIMBS(n) TMP_SALLOC_TYPE(n,mp_limb_t)
#define TMP_BALLOC_LIMBS(n) TMP_BALLOC_TYPE(n,mp_limb_t)
#define TMP_ALLOC_MP_PTRS(n) TMP_ALLOC_TYPE(n,mp_ptr)
#define TMP_SALLOC_MP_PTRS(n) TMP_SALLOC_TYPE(n,mp_ptr)
#define TMP_BALLOC_MP_PTRS(n) TMP_BALLOC_TYPE(n,mp_ptr)
/* It's more efficient to allocate one block than two. This is certainly
true of the malloc methods, but it can even be true of alloca if that
involves copying a chunk of stack (various RISCs), or a call to a stack
bounds check (mingw). In any case, when debugging keep separate blocks
so a redzoning malloc debugger can protect each individually. */
#define TMP_ALLOC_LIMBS_2(xp,xsize, yp,ysize) \
do { \
if (WANT_TMP_DEBUG) \
{ \
(xp) = TMP_ALLOC_LIMBS (xsize); \
(yp) = TMP_ALLOC_LIMBS (ysize); \
} \
else \
{ \
(xp) = TMP_ALLOC_LIMBS ((xsize) + (ysize)); \
(yp) = (xp) + (xsize); \
} \
} while (0)
/* From mpir.h, nicer names for internal use. */
#define MPN_CMP(result, xp, yp, size) __GMPN_CMP(result, xp, yp, size)
#define LIKELY(cond) __GMP_LIKELY(cond)
#define UNLIKELY(cond) __GMP_UNLIKELY(cond)
#define ABS(x) ((x) >= 0 ? (x) : -(x))
#undef MIN
#define MIN(l,o) ((l) < (o) ? (l) : (o))
#undef MAX
#define MAX(h,i) ((h) > (i) ? (h) : (i))
#define numberof(x) (sizeof (x) / sizeof ((x)[0]))
/* Field access macros. */
#define SIZ(x) ((x)->_mp_size)
#define ABSIZ(x) ABS (SIZ (x))
#define PTR(x) ((x)->_mp_d)
#define LIMBS(x) ((x)->_mp_d)
#define EXP(x) ((x)->_mp_exp)
#define PREC(x) ((x)->_mp_prec)
#define ALLOC(x) ((x)->_mp_alloc)
#define NUM(x) mpq_numref(x)
#define DEN(x) mpq_denref(x)
/* n-1 inverts any low zeros and the lowest one bit. If n&(n-1) leaves zero
then that lowest one bit must have been the only bit set. n==0 will
return true though, so avoid that. */
#define POW2_P(n) (((n) & ((n) - 1)) == 0)
/* This is intended for constant THRESHOLDs only, where the compiler
can completely fold the result. */
#define LOG2C(n) \
(((n) >= 0x1) + ((n) >= 0x2) + ((n) >= 0x4) + ((n) >= 0x8) + \
((n) >= 0x10) + ((n) >= 0x20) + ((n) >= 0x40) + ((n) >= 0x80) + \
((n) >= 0x100) + ((n) >= 0x200) + ((n) >= 0x400) + ((n) >= 0x800) + \
((n) >= 0x1000) + ((n) >= 0x2000) + ((n) >= 0x4000) + ((n) >= 0x8000))
/* The "short" defines are a bit different because shorts are promoted to
ints by ~ or >> etc.
#ifndef's are used since on some systems (HP?) header files other than
limits.h setup these defines. We could forcibly #undef in that case, but
there seems no need to worry about that. */
#ifndef ULONG_MAX
#define ULONG_MAX __GMP_ULONG_MAX
#endif
#ifndef UINT_MAX
#define UINT_MAX __GMP_UINT_MAX
#endif
#ifndef USHRT_MAX
#define USHRT_MAX __GMP_USHRT_MAX
#endif
#define MP_LIMB_T_MAX (~ (mp_limb_t) 0)
/* Must cast ULONG_MAX etc to unsigned long etc, since they might not be
unsigned on a K&R compiler. In particular the HP-UX 10 bundled K&R cc
treats the plain decimal values in <limits.h> as signed. */
#define ULONG_HIGHBIT (ULONG_MAX ^ ((unsigned long) ULONG_MAX >> 1))
#define UINT_HIGHBIT (UINT_MAX ^ ((unsigned) UINT_MAX >> 1))
#define USHRT_HIGHBIT ((unsigned short) (USHRT_MAX ^ ((unsigned short) USHRT_MAX >> 1)))
#define GMP_LIMB_HIGHBIT (MP_LIMB_T_MAX ^ (MP_LIMB_T_MAX >> 1))
#ifdef HAVE_STDINT_H
#define UINTMAX_HIGHBIT (UINTMAX_MAX ^ (UINTMAX_MAX >> 1))
#endif
#ifndef LONG_MIN
#define LONG_MIN ((long) ULONG_HIGHBIT)
#endif
#ifndef LONG_MAX
#define LONG_MAX (-(LONG_MIN+1))
#endif
#ifndef INT_MIN
#define INT_MIN ((int) UINT_HIGHBIT)
#endif
#ifndef INT_MAX
#define INT_MAX (-(INT_MIN+1))
#endif
#ifndef SHRT_MIN
#define SHRT_MIN ((short) USHRT_HIGHBIT)
#endif
#ifndef SHRT_MAX
#define SHRT_MAX ((short) (-(SHRT_MIN+1)))
#endif
#if defined( _WIN64 )
#define MP_SIZE_T_MAX _I64_MAX
#define MP_SIZE_T_MIN _I64_MIN
#elif __GMP_MP_SIZE_T_INT
#define MP_SIZE_T_MAX INT_MAX
#define MP_SIZE_T_MIN INT_MIN
#else
#define MP_SIZE_T_MAX LONG_MAX
#define MP_SIZE_T_MIN LONG_MIN
#endif
/* mp_exp_t is the same as mp_size_t */
#if defined( _WIN64 )
#define MP_EXP_T_MAX LONG_MAX
#define MP_EXP_T_MIN LONG_MIN
#else
#define MP_EXP_T_MAX MP_SIZE_T_MAX
#define MP_EXP_T_MIN MP_SIZE_T_MIN
#endif
#define LONG_HIGHBIT LONG_MIN
#define INT_HIGHBIT INT_MIN
#define SHRT_HIGHBIT SHRT_MIN
#define GMP_NUMB_HIGHBIT (CNST_LIMB(1) << (GMP_NUMB_BITS-1))
#if GMP_NAIL_BITS == 0
#define GMP_NAIL_LOWBIT CNST_LIMB(0)
#else
#define GMP_NAIL_LOWBIT (CNST_LIMB(1) << GMP_NUMB_BITS)
#endif
/* Swap macros. */
#define MP_LIMB_T_SWAP(x, y) \
do { \
mp_limb_t __mp_limb_t_swap__tmp = (x); \
(x) = (y); \
(y) = __mp_limb_t_swap__tmp; \
} while (0)
#define MP_SIZE_T_SWAP(x, y) \
do { \
mp_size_t __mp_size_t_swap__tmp = (x); \
(x) = (y); \
(y) = __mp_size_t_swap__tmp; \
} while (0)
#define MP_PTR_SWAP(x, y) \
do { \
mp_ptr __mp_ptr_swap__tmp = (x); \
(x) = (y); \
(y) = __mp_ptr_swap__tmp; \
} while (0)
#define MP_SRCPTR_SWAP(x, y) \
do { \
mp_srcptr __mp_srcptr_swap__tmp = (x); \
(x) = (y); \
(y) = __mp_srcptr_swap__tmp; \
} while (0)
#define MPN_PTR_SWAP(xp,xs, yp,ys) \
do { \
MP_PTR_SWAP (xp, yp); \
MP_SIZE_T_SWAP (xs, ys); \
} while(0)
#define MPN_SRCPTR_SWAP(xp,xs, yp,ys) \
do { \
MP_SRCPTR_SWAP (xp, yp); \
MP_SIZE_T_SWAP (xs, ys); \
} while(0)
#define MPZ_PTR_SWAP(x, y) \
do { \
mpz_ptr __mpz_ptr_swap__tmp = (x); \
(x) = (y); \
(y) = __mpz_ptr_swap__tmp; \
} while (0)
#define MPZ_SRCPTR_SWAP(x, y) \
do { \
mpz_srcptr __mpz_srcptr_swap__tmp = (x); \
(x) = (y); \
(y) = __mpz_srcptr_swap__tmp; \
} while (0)
/* Enhancement: __gmp_allocate_func could have "__attribute__ ((malloc))",
but current gcc (3.0) doesn't seem to support that. */
__GMP_DECLSPEC extern void * (*__gmp_allocate_func)(size_t);
__GMP_DECLSPEC extern void * (*__gmp_reallocate_func)(void *, size_t, size_t);
__GMP_DECLSPEC extern void (*__gmp_free_func)(void *, size_t);
__GMP_DECLSPEC void *__gmp_default_allocate(size_t);
__GMP_DECLSPEC void *__gmp_default_reallocate(void *, size_t, size_t);
__GMP_DECLSPEC void __gmp_default_free(void *, size_t);
#define __GMP_ALLOCATE_FUNC_TYPE(n,type) \
((type *) (*__gmp_allocate_func) ((n) * sizeof (type)))
#define __GMP_ALLOCATE_FUNC_LIMBS(n) __GMP_ALLOCATE_FUNC_TYPE (n, mp_limb_t)
#define __GMP_REALLOCATE_FUNC_TYPE(p, old_size, new_size, type) \
((type *) (*__gmp_reallocate_func) \
(p, (old_size) * sizeof (type), (new_size) * sizeof (type)))
#define __GMP_REALLOCATE_FUNC_LIMBS(p, old_size, new_size) \
__GMP_REALLOCATE_FUNC_TYPE(p, old_size, new_size, mp_limb_t)
#define __GMP_FREE_FUNC_TYPE(p,n,type) (*__gmp_free_func) (p, (n) * sizeof (type))
#define __GMP_FREE_FUNC_LIMBS(p,n) __GMP_FREE_FUNC_TYPE (p, n, mp_limb_t)
#define __GMP_REALLOCATE_FUNC_MAYBE(ptr, oldsize, newsize) \
do { \
if ((oldsize) != (newsize)) \
(ptr) = (*__gmp_reallocate_func) (ptr, oldsize, newsize); \
} while (0)
#define __GMP_REALLOCATE_FUNC_MAYBE_TYPE(ptr, oldsize, newsize, type) \
do { \
if ((oldsize) != (newsize)) \
(ptr) = (type *) (*__gmp_reallocate_func) \
(ptr, (oldsize) * sizeof (type), (newsize) * sizeof (type)); \
} while (0)
/* Dummy for non-gcc, code involving it will go dead. */
#if ! defined (__GNUC__) || __GNUC__ < 2
#define __builtin_constant_p(x) 0
#endif
/* In gcc 2.96 and up on i386, tail calls are optimized to jumps if the
stack usage is compatible. __attribute__ ((regparm (N))) helps by
putting leading parameters in registers, avoiding extra stack.
regparm cannot be used with calls going through the PLT, because the
binding code there may clobber the registers (%eax, %edx, %ecx) used for
the regparm parameters. Calls to local (ie. static) functions could
still use this, if we cared to differentiate locals and globals.
On athlon-unknown-freebsd4.9 with gcc 3.3.3, regparm cannot be used with
-p or -pg profiling, since that version of gcc doesn't realize the
.mcount calls will clobber the parameter registers. Other systems are
ok, like debian with glibc 2.3.2 (mcount doesn't clobber), but we don't
bother to try to detect this. regparm is only an optimization so we just
disable it when profiling (profiling being a slowdown anyway). */
#define USE_LEADING_REGPARM 0
/* Macros for altering parameter order according to regparm usage. */
#if USE_LEADING_REGPARM
#define REGPARM_2_1(a,b,x) x,a,b
#define REGPARM_3_1(a,b,c,x) x,a,b,c
#define REGPARM_ATTR(n) __attribute__ ((regparm (n)))
#else
#define REGPARM_2_1(a,b,x) a,b,x
#define REGPARM_3_1(a,b,c,x) a,b,c,x
#define REGPARM_ATTR(n)
#endif
__GMP_DECLSPEC int mpir_is_likely_prime_BPSW(mp_limb_t n);
__GMP_DECLSPEC mp_limb_t mpir_sqrt(mp_limb_t r);
__GMP_DECLSPEC void __gmpz_aorsmul_1(REGPARM_3_1 (mpz_ptr w, mpz_srcptr u, mp_limb_t v, mp_size_t sub)) REGPARM_ATTR(1);
#define mpz_aorsmul_1(w,u,v,sub) __gmpz_aorsmul_1 (REGPARM_3_1 (w, u, v, sub))
#define mpz_n_pow_ui __gmpz_n_pow_ui
__GMP_DECLSPEC void mpz_n_pow_ui(mpz_ptr, mp_srcptr, mp_size_t, mpir_ui);
#define mpn_add_nc __MPN(add_nc)
__GMP_DECLSPEC mp_limb_t mpn_add_nc(mp_ptr, mp_srcptr, mp_srcptr, mp_size_t, mp_limb_t);
#define mpn_addmul_1c __MPN(addmul_1c)
__GMP_DECLSPEC mp_limb_t mpn_addmul_1c(mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t);
#define mpn_addmul_2 __MPN(addmul_2)
__GMP_DECLSPEC mp_limb_t mpn_addmul_2(mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
#define mpn_addmul_3 __MPN(addmul_3)
__GMP_DECLSPEC mp_limb_t mpn_addmul_3(mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
#define mpn_addmul_4 __MPN(addmul_4)
__GMP_DECLSPEC mp_limb_t mpn_addmul_4(mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
#define mpn_addmul_5 __MPN(addmul_5)
__GMP_DECLSPEC mp_limb_t mpn_addmul_5(mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
#define mpn_addmul_6 __MPN(addmul_6)
__GMP_DECLSPEC mp_limb_t mpn_addmul_6(mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
#define mpn_addmul_7 __MPN(addmul_7)
__GMP_DECLSPEC mp_limb_t mpn_addmul_7(mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
#define mpn_addmul_8 __MPN(addmul_8)
__GMP_DECLSPEC mp_limb_t mpn_addmul_8(mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
#define mpn_addlsh_n __MPN(addlsh_n)
__GMP_DECLSPEC mp_limb_t mpn_addlsh_n(mp_ptr, mp_srcptr, mp_srcptr, mp_size_t,unsigned int);
#define mpn_sublsh_n __MPN(sublsh_n)
__GMP_DECLSPEC mp_limb_t mpn_sublsh_n(mp_ptr, mp_srcptr, mp_srcptr, mp_size_t,unsigned int);
#define mpn_addlsh_nc __MPN(addlsh_nc)
__GMP_DECLSPEC mp_limb_t mpn_addlsh_nc(mp_ptr, mp_srcptr, mp_srcptr, mp_size_t,unsigned int, mp_limb_t);
#define mpn_sublsh_nc __MPN(sublsh_nc)
__GMP_DECLSPEC mp_limb_t mpn_sublsh_nc(mp_ptr, mp_srcptr, mp_srcptr, mp_size_t,unsigned int, mp_limb_t);
/* mpn_rsh1add_n(c,a,b,n), when it exists, sets {c,n} to ({a,n} + {b,n}) >> 1,
and returns the bit rshifted out (0 or 1). */
#define mpn_rsh1add_n __MPN(rsh1add_n)
__GMP_DECLSPEC mp_limb_t mpn_rsh1add_n(mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
/* mpn_rsh1sub_n(c,a,b,n), when it exists, sets {c,n} to ({a,n} - {b,n}) >> 1,
and returns the bit rshifted out (0 or 1). If there's a borrow from the
subtract, it's stored as a 1 in the high bit of c[n-1], like a twos
complement negative. */
#define mpn_rsh1sub_n __MPN(rsh1sub_n)
__GMP_DECLSPEC mp_limb_t mpn_rsh1sub_n(mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
#if HAVE_NATIVE_mpn_lshiftc
#define mpn_lshiftc __MPN(lshiftc)
__GMP_DECLSPEC mp_limb_t mpn_lshiftc(mp_ptr, mp_srcptr, mp_size_t,unsigned int);
#endif
#define mpn_addadd_n __MPN(addadd_n)
__GMP_DECLSPEC mp_limb_t mpn_addadd_n(mp_ptr, mp_srcptr, mp_srcptr, mp_srcptr, mp_size_t);
#define mpn_addsub_n __MPN(addsub_n)
__GMP_DECLSPEC int mpn_addsub_n(mp_ptr, mp_srcptr, mp_srcptr, mp_srcptr, mp_size_t);
#define mpn_subadd_n __MPN(subadd_n)
__GMP_DECLSPEC mp_limb_t mpn_subadd_n(mp_ptr, mp_srcptr, mp_srcptr, mp_srcptr, mp_size_t);
#if HAVE_NATIVE_mpn_karaadd
#define mpn_karaadd __MPN(karaadd)
__GMP_DECLSPEC void mpn_karaadd(mp_ptr, mp_ptr, mp_size_t);
#endif
#if HAVE_NATIVE_mpn_karasub
#define mpn_karasub __MPN(karasub)
__GMP_DECLSPEC void mpn_karasub(mp_ptr, mp_ptr, mp_size_t);
#endif
#ifndef mpn_sumdiff_n /* if not done with cpuvec in a fat binary */
#define mpn_sumdiff_n __MPN(sumdiff_n)
__GMP_DECLSPEC mp_limb_t mpn_sumdiff_n(mp_ptr, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
#endif
#ifndef mpn_nsumdiff_n
#define mpn_nsumdiff_n __MPN(nsumdiff_n)
__GMP_DECLSPEC mp_limb_t mpn_nsumdiff_n(mp_ptr, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
#endif
#define mpn_sumdiff_nc __MPN(sumdiff_nc)
__GMP_DECLSPEC mp_limb_t mpn_sumdiff_nc(mp_ptr, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t, mp_limb_t);
#define mpn_divexact_byff __MPN(divexact_byff)
__GMP_DECLSPEC mp_limb_t mpn_divexact_byff(mp_ptr, mp_srcptr, mp_size_t);
#ifndef mpn_divexact_byfobm1 /* if not done with cpuvec in a fat binary */
#define mpn_divexact_byfobm1 __MPN(divexact_byfobm1)
__GMP_DECLSPEC mp_limb_t mpn_divexact_byfobm1(mp_ptr, mp_srcptr, mp_size_t,mp_limb_t,mp_limb_t);
#endif
#ifndef mpn_add_err1_n /* if not done with cpuvec in a fat binary */
#define mpn_add_err1_n __MPN(add_err1_n)
__GMP_DECLSPEC mp_limb_t mpn_add_err1_n (mp_ptr, mp_srcptr, mp_srcptr, mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
#endif
#ifndef mpn_sub_err1_n /* if not done with cpuvec in a fat binary */
#define mpn_sub_err1_n __MPN(sub_err1_n)
__GMP_DECLSPEC mp_limb_t mpn_sub_err1_n (mp_ptr, mp_srcptr, mp_srcptr, mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
#endif
#ifndef mpn_add_err2_n /* if not done with cpuvec in a fat binary */
#define mpn_add_err2_n __MPN(add_err2_n)
__GMP_DECLSPEC mp_limb_t mpn_add_err2_n (mp_ptr, mp_srcptr, mp_srcptr, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t, mp_limb_t);
#endif
#ifndef mpn_sub_err2_n /* if not done with cpuvec in a fat binary */
#define mpn_sub_err2_n __MPN(sub_err2_n)
__GMP_DECLSPEC mp_limb_t mpn_sub_err2_n (mp_ptr, mp_srcptr, mp_srcptr, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t, mp_limb_t);
#endif
#define mpn_divrem_1c __MPN(divrem_1c)
__GMP_DECLSPEC mp_limb_t mpn_divrem_1c(mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t);
#define mpn_dump __MPN(dump)
__GMP_DECLSPEC void mpn_dump(mp_srcptr, mp_size_t);
#define mpn_fib2_ui __MPN(fib2_ui)
__GMP_DECLSPEC mp_size_t mpn_fib2_ui(mp_ptr, mp_ptr, mpir_ui);
/* Remap names of internal mpn functions. */
#define __clz_tab __MPN(clz_tab)
#define mpn_udiv_w_sdiv __MPN(udiv_w_sdiv)
#define mpn_jacobi_base __MPN(jacobi_base)
__GMP_DECLSPEC int mpn_jacobi_base(mp_limb_t a, mp_limb_t b, int result_bit1) ATTRIBUTE_CONST;
#define mpn_jacobi_2 __MPN(jacobi_2)
__GMP_DECLSPEC int mpn_jacobi_2(mp_srcptr, mp_srcptr, unsigned);
#define mpn_jacobi_n __MPN(jacobi_n)
__GMP_DECLSPEC int mpn_jacobi_n(mp_ptr, mp_ptr, mp_size_t, unsigned);
#define mpn_mod_1c __MPN(mod_1c)
__GMP_DECLSPEC mp_limb_t mpn_mod_1c(mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t) __GMP_ATTRIBUTE_PURE;
#define mpn_mul_1c __MPN(mul_1c)
__GMP_DECLSPEC mp_limb_t mpn_mul_1c(mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t);
#define mpn_mul_2 __MPN(mul_2)
mp_limb_t mpn_mul_2(mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
#ifndef mpn_mul_basecase /* if not done with cpuvec in a fat binary */