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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 1991-2018 Free Software Foundation, Inc.
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 either:
* 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.
or
* the GNU General Public License as published by the Free Software
Foundation; either version 2 of the License, or (at your option) any
later version.
or both in parallel, as here.
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 General Public License
for more details.
You should have received copies of the GNU General Public License and the
GNU Lesser General Public License along with the GNU MP Library. If not,
see https://www.gnu.org/licenses/. */
/* __GMP_DECLSPEC must be given on any global data that will be accessed
from outside libgmp, meaning from the test or development programs, or
from libgmpxx. Failing to do this will result in an incorrect address
being used for the accesses. On functions __GMP_DECLSPEC makes calls
from outside libgmp more efficient, but they'll still work fine without
it. */
#ifndef __GMP_IMPL_H__
#define __GMP_IMPL_H__
#if defined _CRAY
#include <intrinsics.h> /* for _popcnt */
#endif
/* For INT_MAX, etc. We used to avoid it because of a bug (on solaris,
gcc 2.95 under -mcpu=ultrasparc in ABI=32 ends up getting wrong
values (the ABI=64 values)), but it should be safe now.
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. */
#include <limits.h>
/* 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 __gmpn_cpuvec,
they're not called directly. */
#define DECL_add_n(name) \
__GMP_DECLSPEC mp_limb_t name (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)
#define DECL_addlsh1_n(name) \
DECL_add_n (name)
#define DECL_addlsh2_n(name) \
DECL_add_n (name)
#define DECL_addmul_1(name) \
__GMP_DECLSPEC mp_limb_t name (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)
#define DECL_addmul_2(name) \
__GMP_DECLSPEC mp_limb_t name (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr)
#define DECL_bdiv_dbm1c(name) \
__GMP_DECLSPEC mp_limb_t name (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t)
#define DECL_cnd_add_n(name) \
__GMP_DECLSPEC mp_limb_t name (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)
#define DECL_cnd_sub_n(name) \
__GMP_DECLSPEC mp_limb_t name (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)
#define DECL_com(name) \
__GMP_DECLSPEC void name (mp_ptr, mp_srcptr, mp_size_t)
#define DECL_copyd(name) \
__GMP_DECLSPEC void name (mp_ptr, mp_srcptr, mp_size_t)
#define DECL_copyi(name) \
DECL_copyd (name)
#define DECL_divexact_1(name) \
__GMP_DECLSPEC void name (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)
#define DECL_divexact_by3c(name) \
__GMP_DECLSPEC mp_limb_t name (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)
#define DECL_divrem_1(name) \
__GMP_DECLSPEC mp_limb_t name (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t)
#define DECL_gcd_11(name) \
__GMP_DECLSPEC mp_limb_t name (mp_limb_t, mp_limb_t)
#define DECL_lshift(name) \
__GMP_DECLSPEC mp_limb_t name (mp_ptr, mp_srcptr, mp_size_t, unsigned)
#define DECL_lshiftc(name) \
DECL_lshift (name)
#define DECL_mod_1(name) \
__GMP_DECLSPEC mp_limb_t name (mp_srcptr, mp_size_t, mp_limb_t)
#define DECL_mod_1_1p(name) \
__GMP_DECLSPEC mp_limb_t name (mp_srcptr, mp_size_t, mp_limb_t, const mp_limb_t [])
#define DECL_mod_1_1p_cps(name) \
__GMP_DECLSPEC void name (mp_limb_t cps[], mp_limb_t b)
#define DECL_mod_1s_2p(name) \
DECL_mod_1_1p (name)
#define DECL_mod_1s_2p_cps(name) \
DECL_mod_1_1p_cps (name)
#define DECL_mod_1s_4p(name) \
DECL_mod_1_1p (name)
#define DECL_mod_1s_4p_cps(name) \
DECL_mod_1_1p_cps (name)
#define DECL_mod_34lsub1(name) \
__GMP_DECLSPEC mp_limb_t name (mp_srcptr, mp_size_t)
#define DECL_modexact_1c_odd(name) \
__GMP_DECLSPEC 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) \
__GMP_DECLSPEC void name (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t)
#define DECL_mullo_basecase(name) \
__GMP_DECLSPEC void name (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t)
#define DECL_preinv_divrem_1(name) \
__GMP_DECLSPEC 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) \
__GMP_DECLSPEC mp_limb_t name (mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t)
#define DECL_redc_1(name) \
__GMP_DECLSPEC mp_limb_t name (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_limb_t)
#define DECL_redc_2(name) \
__GMP_DECLSPEC mp_limb_t name (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_srcptr)
#define DECL_rshift(name) \
DECL_lshift (name)
#define DECL_sqr_basecase(name) \
__GMP_DECLSPEC void name (mp_ptr, mp_srcptr, mp_size_t)
#define DECL_sub_n(name) \
DECL_add_n (name)
#define DECL_sublsh1_n(name) \
DECL_add_n (name)
#define DECL_submul_1(name) \
DECL_addmul_1 (name)
#if ! defined (__GMP_WITHIN_CONFIGURE)
#include "config.h"
#include "gmp.h"
#include "gmp-mparam.h"
#include "fib_table.h"
#include "fac_table.h"
#include "mp_bases.h"
#if WANT_FAT_BINARY
#include "fat.h"
#endif
#endif
#if HAVE_INTTYPES_H /* for uint_least32_t */
# include <inttypes.h>
#else
# if 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 gmp.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 GMP_LIMB_BYTES
#define GMP_LIMB_BYTES SIZEOF_MP_LIMB_T
#endif
#ifndef GMP_LIMB_BITS
#define GMP_LIMB_BITS (8 * SIZEOF_MP_LIMB_T)
#endif
#define BITS_PER_ULONG (8 * SIZEOF_UNSIGNED_LONG)
/* 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
/* gmp_intptr_t, for pointer to integer casts */
#if HAVE_INTPTR_T
typedef intptr_t gmp_intptr_t;
#else /* fallback */
typedef size_t gmp_intptr_t;
#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" 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)
#define ATTRIBUTE_CONST __attribute__ ((const))
#else
#define ATTRIBUTE_CONST
#endif
#if HAVE_ATTRIBUTE_NORETURN
#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
#define ATTRIBUTE_MALLOC __attribute__ ((malloc))
#else
#define ATTRIBUTE_MALLOC
#endif
#if ! HAVE_STRCHR
#define strchr(s,c) index(s,c)
#endif
#if ! HAVE_MEMSET
#define memset(p, c, n) \
do { \
ASSERT ((n) >= 0); \
char *__memset__p = (p); \
int __i; \
for (__i = 0; __i < (n); __i++) \
__memset__p[__i] = (c); \
} while (0)
#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
/* HAVE_HOST_CPU_alpha_CIX is 1 on an alpha with the CIX instructions
(ie. ctlz, ctpop, cttz). */
#if HAVE_HOST_CPU_alphaev67 || HAVE_HOST_CPU_alphaev68 \
|| HAVE_HOST_CPU_alphaev7
#define HAVE_HOST_CPU_alpha_CIX 1
#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. */
union tmp_align_t {
mp_limb_t l;
double d;
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)
/* The peculiar stack allocation limit here is chosen for efficient asm. */
#define TMP_ALLOC(n) \
(LIKELY ((n) <= 0x7f00) ? 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;
void *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 variable
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 many. 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)
#define TMP_ALLOC_LIMBS_3(xp,xsize, yp,ysize, zp,zsize) \
do { \
if (WANT_TMP_DEBUG) \
{ \
(xp) = TMP_ALLOC_LIMBS (xsize); \
(yp) = TMP_ALLOC_LIMBS (ysize); \
(zp) = TMP_ALLOC_LIMBS (zsize); \
} \
else \
{ \
(xp) = TMP_ALLOC_LIMBS ((xsize) + (ysize) + (zsize)); \
(yp) = (xp) + (xsize); \
(zp) = (yp) + (ysize); \
} \
} while (0)
/* From gmp.h, nicer names for internal use. */
#define CRAY_Pragma(str) __GMP_CRAY_Pragma(str)
#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))
#define NEG_CAST(T,x) (- (__GMP_CAST (T, (x) + 1) - 1))
#define ABS_CAST(T,x) ((x) >= 0 ? __GMP_CAST (T, x) : NEG_CAST (T,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 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))
#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 (USHRT_MAX ^ ((unsigned short) USHRT_MAX >> 1))
#define GMP_LIMB_HIGHBIT (MP_LIMB_T_MAX ^ (MP_LIMB_T_MAX >> 1))
#if __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 */
#define MP_EXP_T_MAX MP_SIZE_T_MAX
#define MP_EXP_T_MIN MP_SIZE_T_MIN
#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
#if GMP_NAIL_BITS != 0
/* Set various *_THRESHOLD values to be used for nails. Thus we avoid using
code that has not yet been qualified. */
#undef DC_DIV_QR_THRESHOLD
#define DC_DIV_QR_THRESHOLD 50
#undef DIVREM_1_NORM_THRESHOLD
#undef DIVREM_1_UNNORM_THRESHOLD
#undef MOD_1_NORM_THRESHOLD
#undef MOD_1_UNNORM_THRESHOLD
#undef USE_PREINV_DIVREM_1
#undef DIVREM_2_THRESHOLD
#undef DIVEXACT_1_THRESHOLD
#define DIVREM_1_NORM_THRESHOLD MP_SIZE_T_MAX /* no preinv */
#define DIVREM_1_UNNORM_THRESHOLD MP_SIZE_T_MAX /* no preinv */
#define MOD_1_NORM_THRESHOLD MP_SIZE_T_MAX /* no preinv */
#define MOD_1_UNNORM_THRESHOLD MP_SIZE_T_MAX /* no preinv */
#define USE_PREINV_DIVREM_1 0 /* no preinv */
#define DIVREM_2_THRESHOLD MP_SIZE_T_MAX /* no preinv */
/* mpn/generic/mul_fft.c is not nails-capable. */
#undef MUL_FFT_THRESHOLD
#undef SQR_FFT_THRESHOLD
#define MUL_FFT_THRESHOLD MP_SIZE_T_MAX
#define SQR_FFT_THRESHOLD MP_SIZE_T_MAX
#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)
#define MPQ_PTR_SWAP(x, y) \
do { \
mpq_ptr __mpq_ptr_swap__tmp = (x); \
(x) = (y); \
(y) = __mpq_ptr_swap__tmp; \
} while (0)
#define MPQ_SRCPTR_SWAP(x, y) \
do { \
mpq_srcptr __mpq_srcptr_swap__tmp = (x); \
(x) = (y); \
(y) = __mpq_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). */
#if HAVE_HOST_CPU_FAMILY_x86 && __GMP_GNUC_PREREQ (2,96) && ! defined (PIC) \
&& ! WANT_PROFILING_PROF && ! WANT_PROFILING_GPROF
#define USE_LEADING_REGPARM 1
#else
#define USE_LEADING_REGPARM 0
#endif
/* 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
/* ASM_L gives a local label for a gcc asm block, for use when temporary
local labels like "1:" might not be available, which is the case for
instance on the x86s (the SCO assembler doesn't support them).
The label generated is made unique by including "%=" which is a unique
number for each insn. This ensures the same name can be used in multiple
asm blocks, perhaps via a macro. Since jumps between asm blocks are not
allowed there's no need for a label to be usable outside a single
block. */
#define ASM_L(name) LSYM_PREFIX "asm_%=_" #name
#if defined (__GNUC__) && HAVE_HOST_CPU_FAMILY_x86
#if 0
/* FIXME: Check that these actually improve things.
FIXME: Need a cld after each std.
FIXME: Can't have inputs in clobbered registers, must describe them as
dummy outputs, and add volatile. */
#define MPN_COPY_INCR(DST, SRC, N) \
__asm__ ("cld\n\trep\n\tmovsl" : : \
"D" (DST), "S" (SRC), "c" (N) : \
"cx", "di", "si", "memory")
#define MPN_COPY_DECR(DST, SRC, N) \
__asm__ ("std\n\trep\n\tmovsl" : : \
"D" ((DST) + (N) - 1), "S" ((SRC) + (N) - 1), "c" (N) : \
"cx", "di", "si", "memory")
#endif
#endif
__GMP_DECLSPEC void __gmpz_aorsmul_1 (REGPARM_3_1 (mpz_ptr, mpz_srcptr, mp_limb_t, mp_size_t)) 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, unsigned long);
#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);
#ifndef mpn_addmul_2 /* if not done with cpuvec in a fat binary */
#define mpn_addmul_2 __MPN(addmul_2)
__GMP_DECLSPEC mp_limb_t mpn_addmul_2 (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
#endif
#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);
/* Alternative entry point in mpn_addmul_2 for the benefit of mpn_sqr_basecase. */
#define mpn_addmul_2s __MPN(addmul_2s)
__GMP_DECLSPEC mp_limb_t mpn_addmul_2s (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr);
/* Override mpn_addlsh1_n, mpn_addlsh2_n, mpn_sublsh1_n, etc with mpn_addlsh_n,
etc when !HAVE_NATIVE the former but HAVE_NATIVE_ the latter. Similarly,
override foo_ip1 functions with foo. We then lie and say these macros
represent native functions, but leave a trace by using the value 2 rather
than 1. */
#if HAVE_NATIVE_mpn_addlsh_n && ! HAVE_NATIVE_mpn_addlsh1_n
#define mpn_addlsh1_n(a,b,c,d) mpn_addlsh_n(a,b,c,d,1)
#define HAVE_NATIVE_mpn_addlsh1_n 2
#endif
#if HAVE_NATIVE_mpn_addlsh_nc && ! HAVE_NATIVE_mpn_addlsh1_nc
#define mpn_addlsh1_nc(a,b,c,d,x) mpn_addlsh_nc(a,b,c,d,1,x)
#define HAVE_NATIVE_mpn_addlsh1_nc 2
#endif
#if HAVE_NATIVE_mpn_addlsh1_n && ! HAVE_NATIVE_mpn_addlsh1_n_ip1
#define mpn_addlsh1_n_ip1(a,b,n) mpn_addlsh1_n(a,a,b,n)
#define HAVE_NATIVE_mpn_addlsh1_n_ip1 2
#endif
#if HAVE_NATIVE_mpn_addlsh1_nc && ! HAVE_NATIVE_mpn_addlsh1_nc_ip1
#define mpn_addlsh1_nc_ip1(a,b,n,c) mpn_addlsh1_nc(a,a,b,n,c)
#define HAVE_NATIVE_mpn_addlsh1_nc_ip1 2
#endif
#if HAVE_NATIVE_mpn_addlsh_n && ! HAVE_NATIVE_mpn_addlsh2_n
#define mpn_addlsh2_n(a,b,c,d) mpn_addlsh_n(a,b,c,d,2)
#define HAVE_NATIVE_mpn_addlsh2_n 2
#endif
#if HAVE_NATIVE_mpn_addlsh_nc && ! HAVE_NATIVE_mpn_addlsh2_nc
#define mpn_addlsh2_nc(a,b,c,d,x) mpn_addlsh_nc(a,b,c,d,2,x)
#define HAVE_NATIVE_mpn_addlsh2_nc 2
#endif
#if HAVE_NATIVE_mpn_addlsh2_n && ! HAVE_NATIVE_mpn_addlsh2_n_ip1
#define mpn_addlsh2_n_ip1(a,b,n) mpn_addlsh2_n(a,a,b,n)
#define HAVE_NATIVE_mpn_addlsh2_n_ip1 2
#endif
#if HAVE_NATIVE_mpn_addlsh2_nc && ! HAVE_NATIVE_mpn_addlsh2_nc_ip1
#define mpn_addlsh2_nc_ip1(a,b,n,c) mpn_addlsh2_nc(a,a,b,n,c)
#define HAVE_NATIVE_mpn_addlsh2_nc_ip1 2
#endif
#if HAVE_NATIVE_mpn_sublsh_n && ! HAVE_NATIVE_mpn_sublsh1_n
#define mpn_sublsh1_n(a,b,c,d) mpn_sublsh_n(a,b,c,d,1)
#define HAVE_NATIVE_mpn_sublsh1_n 2
#endif
#if HAVE_NATIVE_mpn_sublsh_nc && ! HAVE_NATIVE_mpn_sublsh1_nc
#define mpn_sublsh1_nc(a,b,c,d,x) mpn_sublsh_nc(a,b,c,d,1,x)
#define HAVE_NATIVE_mpn_sublsh1_nc 2
#endif
#if HAVE_NATIVE_mpn_sublsh1_n && ! HAVE_NATIVE_mpn_sublsh1_n_ip1
#define mpn_sublsh1_n_ip1(a,b,n) mpn_sublsh1_n(a,a,b,n)
#define HAVE_NATIVE_mpn_sublsh1_n_ip1 2
#endif
#if HAVE_NATIVE_mpn_sublsh1_nc && ! HAVE_NATIVE_mpn_sublsh1_nc_ip1
#define mpn_sublsh1_nc_ip1(a,b,n,c) mpn_sublsh1_nc(a,a,b,n,c)
#define HAVE_NATIVE_mpn_sublsh1_nc_ip1 2
#endif
#if HAVE_NATIVE_mpn_sublsh_n && ! HAVE_NATIVE_mpn_sublsh2_n
#define mpn_sublsh2_n(a,b,c,d) mpn_sublsh_n(a,b,c,d,2)
#define HAVE_NATIVE_mpn_sublsh2_n 2
#endif
#if HAVE_NATIVE_mpn_sublsh_nc && ! HAVE_NATIVE_mpn_sublsh2_nc
#define mpn_sublsh2_nc(a,b,c,d,x) mpn_sublsh_nc(a,b,c,d,2,x)
#define HAVE_NATIVE_mpn_sublsh2_nc 2
#endif
#if HAVE_NATIVE_mpn_sublsh2_n && ! HAVE_NATIVE_mpn_sublsh2_n_ip1
#define mpn_sublsh2_n_ip1(a,b,n) mpn_sublsh2_n(a,a,b,n)
#define HAVE_NATIVE_mpn_sublsh2_n_ip1 2
#endif
#if HAVE_NATIVE_mpn_sublsh2_nc && ! HAVE_NATIVE_mpn_sublsh2_nc_ip1
#define mpn_sublsh2_nc_ip1(a,b,n,c) mpn_sublsh2_nc(a,a,b,n,c)
#define HAVE_NATIVE_mpn_sublsh2_nc_ip1 2
#endif
#if HAVE_NATIVE_mpn_rsblsh_n && ! HAVE_NATIVE_mpn_rsblsh1_n
#define mpn_rsblsh1_n(a,b,c,d) mpn_rsblsh_n(a,b,c,d,1)
#define HAVE_NATIVE_mpn_rsblsh1_n 2
#endif
#if HAVE_NATIVE_mpn_rsblsh_nc && ! HAVE_NATIVE_mpn_rsblsh1_nc
#define mpn_rsblsh1_nc(a,b,c,d,x) mpn_rsblsh_nc(a,b,c,d,1,x)
#define HAVE_NATIVE_mpn_rsblsh1_nc 2
#endif
#if HAVE_NATIVE_mpn_rsblsh1_n && ! HAVE_NATIVE_mpn_rsblsh1_n_ip1
#define mpn_rsblsh1_n_ip1(a,b,n) mpn_rsblsh1_n(a,a,b,n)
#define HAVE_NATIVE_mpn_rsblsh1_n_ip1 2
#endif
#if HAVE_NATIVE_mpn_rsblsh1_nc && ! HAVE_NATIVE_mpn_rsblsh1_nc_ip1
#define mpn_rsblsh1_nc_ip1(a,b,n,c) mpn_rsblsh1_nc(a,a,b,n,c)
#define HAVE_NATIVE_mpn_rsblsh1_nc_ip1 2
#endif
#if HAVE_NATIVE_mpn_rsblsh_n && ! HAVE_NATIVE_mpn_rsblsh2_n
#define mpn_rsblsh2_n(a,b,c,d) mpn_rsblsh_n(a,b,c,d,2)
#define HAVE_NATIVE_mpn_rsblsh2_n 2
#endif
#if HAVE_NATIVE_mpn_rsblsh_nc && ! HAVE_NATIVE_mpn_rsblsh2_nc
#define mpn_rsblsh2_nc(a,b,c,d,x) mpn_rsblsh_nc(a,b,c,d,2,x)
#define HAVE_NATIVE_mpn_rsblsh2_nc 2
#endif
#if HAVE_NATIVE_mpn_rsblsh2_n && ! HAVE_NATIVE_mpn_rsblsh2_n_ip1
#define mpn_rsblsh2_n_ip1(a,b,n) mpn_rsblsh2_n(a,a,b,n)
#define HAVE_NATIVE_mpn_rsblsh2_n_ip1 2
#endif
#if HAVE_NATIVE_mpn_rsblsh2_nc && ! HAVE_NATIVE_mpn_rsblsh2_nc_ip1
#define mpn_rsblsh2_nc_ip1(a,b,n,c) mpn_rsblsh2_nc(a,a,b,n,c)
#define HAVE_NATIVE_mpn_rsblsh2_nc_ip1 2
#endif
#ifndef mpn_addlsh1_n
#define mpn_addlsh1_n __MPN(addlsh1_n)
__GMP_DECLSPEC mp_limb_t mpn_addlsh1_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
#endif
#ifndef mpn_addlsh1_nc
#define mpn_addlsh1_nc __MPN(addlsh1_nc)
__GMP_DECLSPEC mp_limb_t mpn_addlsh1_nc (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t, mp_limb_t);
#endif
#ifndef mpn_addlsh1_n_ip1
#define mpn_addlsh1_n_ip1 __MPN(addlsh1_n_ip1)
__GMP_DECLSPEC mp_limb_t mpn_addlsh1_n_ip1 (mp_ptr, mp_srcptr, mp_size_t);
#endif
#ifndef mpn_addlsh1_nc_ip1
#define mpn_addlsh1_nc_ip1 __MPN(addlsh1_nc_ip1)
__GMP_DECLSPEC mp_limb_t mpn_addlsh1_nc_ip1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
#endif
#ifndef mpn_addlsh2_n
#define mpn_addlsh2_n __MPN(addlsh2_n)
__GMP_DECLSPEC mp_limb_t mpn_addlsh2_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
#endif
#ifndef mpn_addlsh2_nc
#define mpn_addlsh2_nc __MPN(addlsh2_nc)
__GMP_DECLSPEC mp_limb_t mpn_addlsh2_nc (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t, mp_limb_t);
#endif
#ifndef mpn_addlsh2_n_ip1
#define mpn_addlsh2_n_ip1 __MPN(addlsh2_n_ip1)
__GMP_DECLSPEC mp_limb_t mpn_addlsh2_n_ip1 (mp_ptr, mp_srcptr, mp_size_t);
#endif
#ifndef mpn_addlsh2_nc_ip1
#define mpn_addlsh2_nc_ip1 __MPN(addlsh2_nc_ip1)
__GMP_DECLSPEC mp_limb_t mpn_addlsh2_nc_ip1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
#endif