--- /dev/null
+/* 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, 1994, 1995, 1996, 1997, 1999, 2000, 2001, 2002, 2003,
+2004, 2005, 2006, 2007, 2008 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 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 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
+
+/* 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 _CRAY
+#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_n(name) \
+ mp_limb_t name __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t))
+#define DECL_addmul_1(name) \
+ mp_limb_t name __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t))
+#define DECL_copyd(name) \
+ void name __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t))
+#define DECL_copyi(name) \
+ DECL_copyd (name)
+#define DECL_divexact_1(name) \
+ mp_limb_t name __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t))
+#define DECL_divexact_by3c(name) \
+ mp_limb_t name __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t))
+#define DECL_divrem_1(name) \
+ mp_limb_t name __GMP_PROTO ((mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t))
+#define DECL_gcd_1(name) \
+ mp_limb_t name __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t))
+#define DECL_lshift(name) \
+ mp_limb_t name __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned))
+#define DECL_mod_1(name) \
+ mp_limb_t name __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t))
+#define DECL_mod_34lsub1(name) \
+ mp_limb_t name __GMP_PROTO ((mp_srcptr, mp_size_t))
+#define DECL_modexact_1c_odd(name) \
+ mp_limb_t name __GMP_PROTO ((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 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t))
+#define DECL_preinv_divrem_1(name) \
+ mp_limb_t name __GMP_PROTO ((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 __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t))
+#define DECL_rshift(name) \
+ DECL_lshift (name)
+#define DECL_sqr_basecase(name) \
+ void name __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t))
+#define DECL_sub_n(name) \
+ DECL_add_n (name)
+#define DECL_submul_1(name) \
+ DECL_addmul_1 (name)
+
+#if ! __GMP_WITHIN_CONFIGURE
+#include "config.h"
+#include "gmp-mparam.h"
+#include "fib_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 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)
+
+
+/* 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
+
+
+/* const and signed must match __gmp_const and __gmp_signed, so follow the
+ decision made for those in gmp.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)
+#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. 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 */
+};
+void *__gmp_tmp_reentrant_alloc __GMP_PROTO ((struct tmp_reentrant_t **, size_t)) ATTRIBUTE_MALLOC;
+void __gmp_tmp_reentrant_free __GMP_PROTO ((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;
+};
+void *__gmp_tmp_alloc __GMP_PROTO ((unsigned long)) ATTRIBUTE_MALLOC;
+void __gmp_tmp_mark __GMP_PROTO ((struct tmp_marker *));
+void __gmp_tmp_free __GMP_PROTO ((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;
+};
+void __gmp_tmp_debug_mark __GMP_PROTO ((const char *, int, struct tmp_debug_t **,
+ struct tmp_debug_t *,
+ const char *, const char *));
+void *__gmp_tmp_debug_alloc __GMP_PROTO ((const char *, int, int,
+ struct tmp_debug_t **, const char *,
+ size_t)) ATTRIBUTE_MALLOC;
+void __gmp_tmp_debug_free __GMP_PROTO ((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 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 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))
+#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)
+
+/* 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)
+
+
+/* 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))
+
+#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 __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 DIV_SB_PREINV_THRESHOLD
+#undef DIV_DC_THRESHOLD
+#undef POWM_THRESHOLD
+#define DIV_SB_PREINV_THRESHOLD MP_SIZE_T_MAX
+#define DIV_DC_THRESHOLD 50
+#define POWM_THRESHOLD 0
+
+#undef GCD_ACCEL_THRESHOLD
+#define GCD_ACCEL_THRESHOLD 3
+
+#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 USE_PREINV_MOD_1
+#undef DIVREM_2_THRESHOLD
+#undef DIVEXACT_1_THRESHOLD
+#undef MODEXACT_1_ODD_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 USE_PREINV_MOD_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)
+
+
+/* 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) __GMP_PROTO ((size_t));
+__GMP_DECLSPEC extern void * (*__gmp_reallocate_func) __GMP_PROTO ((void *, size_t, size_t));
+__GMP_DECLSPEC extern void (*__gmp_free_func) __GMP_PROTO ((void *, size_t));
+
+void *__gmp_default_allocate __GMP_PROTO ((size_t));
+void *__gmp_default_reallocate __GMP_PROTO ((void *, size_t, size_t));
+void __gmp_default_free __GMP_PROTO ((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
+
+
+void __gmpz_aorsmul_1 __GMP_PROTO ((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
+void mpz_n_pow_ui __GMP_PROTO ((mpz_ptr, mp_srcptr, mp_size_t, unsigned long));
+
+
+#define mpn_addmul_1c __MPN(addmul_1c)
+__GMP_DECLSPEC mp_limb_t mpn_addmul_1c __GMP_PROTO ((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 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr));
+
+#define mpn_addmul_3 __MPN(addmul_3)
+__GMP_DECLSPEC mp_limb_t mpn_addmul_3 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr));
+
+#define mpn_addmul_4 __MPN(addmul_4)
+__GMP_DECLSPEC mp_limb_t mpn_addmul_4 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr));
+
+#define mpn_addmul_5 __MPN(addmul_5)
+__GMP_DECLSPEC mp_limb_t mpn_addmul_5 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr));
+
+#define mpn_addmul_6 __MPN(addmul_6)
+__GMP_DECLSPEC mp_limb_t mpn_addmul_6 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr));
+
+#define mpn_addmul_7 __MPN(addmul_7)
+__GMP_DECLSPEC mp_limb_t mpn_addmul_7 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr));
+
+#define mpn_addmul_8 __MPN(addmul_8)
+__GMP_DECLSPEC mp_limb_t mpn_addmul_8 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr));
+
+/* mpn_addlsh1_n(c,a,b,n), when it exists, sets {c,n} to {a,n}+2*{b,n}, and
+ returns the carry out (0, 1 or 2). */
+#define mpn_addlsh1_n __MPN(addlsh1_n)
+__GMP_DECLSPEC mp_limb_t mpn_addlsh1_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
+
+/* mpn_sublsh1_n(c,a,b,n), when it exists, sets {c,n} to {a,n}-2*{b,n}, and
+ returns the borrow out (0, 1 or 2). */
+#define mpn_sublsh1_n __MPN(sublsh1_n)
+__GMP_DECLSPEC mp_limb_t mpn_sublsh1_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_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 __GMP_PROTO ((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 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
+
+#define mpn_lshiftc __MPN(lshiftc)
+__GMP_DECLSPEC mp_limb_t mpn_lshiftc __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, unsigned int));
+
+#define mpn_addsub_n __MPN(addsub_n)
+__GMP_DECLSPEC mp_limb_t mpn_addsub_n __GMP_PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
+
+#define mpn_addsub_nc __MPN(addsub_nc)
+__GMP_DECLSPEC mp_limb_t mpn_addsub_nc __GMP_PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t, mp_limb_t));
+
+#define mpn_addaddmul_1msb0 __MPN(addaddmul_1msb0)
+__GMP_DECLSPEC mp_limb_t mpn_addaddmul_1msb0 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t));
+
+#define mpn_divrem_1c __MPN(divrem_1c)
+__GMP_DECLSPEC mp_limb_t mpn_divrem_1c __GMP_PROTO ((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 __GMP_PROTO ((mp_srcptr, mp_size_t));
+
+#define mpn_fib2_ui __MPN(fib2_ui)
+mp_size_t mpn_fib2_ui __GMP_PROTO ((mp_ptr, mp_ptr, unsigned long));
+
+/* 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)
+int mpn_jacobi_base __GMP_PROTO ((mp_limb_t, mp_limb_t, int)) ATTRIBUTE_CONST;
+
+#define mpn_mod_1c __MPN(mod_1c)
+__GMP_DECLSPEC mp_limb_t mpn_mod_1c __GMP_PROTO ((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 __GMP_PROTO ((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 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr));
+
+#define mpn_mul_3 __MPN(mul_3)
+__GMP_DECLSPEC mp_limb_t mpn_mul_3 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr));
+
+#define mpn_mul_4 __MPN(mul_4)
+__GMP_DECLSPEC mp_limb_t mpn_mul_4 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr));
+
+#ifndef mpn_mul_basecase /* if not done with cpuvec in a fat binary */
+#define mpn_mul_basecase __MPN(mul_basecase)
+__GMP_DECLSPEC void mpn_mul_basecase __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t));
+#endif
+
+#define mpn_mullow_n __MPN(mullow_n)
+__GMP_DECLSPEC void mpn_mullow_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
+
+#define mpn_mullow_basecase __MPN(mullow_basecase)
+__GMP_DECLSPEC void mpn_mullow_basecase __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
+
+#define mpn_sqr_n __MPN(sqr_n)
+__GMP_DECLSPEC void mpn_sqr_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
+
+#ifndef mpn_sqr_basecase /* if not done with cpuvec in a fat binary */
+#define mpn_sqr_basecase __MPN(sqr_basecase)
+__GMP_DECLSPEC void mpn_sqr_basecase __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
+#endif
+
+#define mpn_submul_1c __MPN(submul_1c)
+__GMP_DECLSPEC mp_limb_t mpn_submul_1c __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t));
+
+#define mpn_invert_2exp __MPN(invert_2exp)
+__GMP_DECLSPEC void mpn_invert_2exp __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_ptr));
+
+#define mpn_redc_1 __MPN(redc_1)
+__GMP_DECLSPEC void mpn_redc_1 __GMP_PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);)
+
+#define mpn_redc_2 __MPN(redc_2)
+__GMP_DECLSPEC void mpn_redc_2 __GMP_PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_srcptr));
+
+
+#define mpn_mod_1s_1p_cps __MPN(mod_1s_1p_cps)
+__GMP_DECLSPEC void mpn_mod_1s_1p_cps __GMP_PROTO ((mp_limb_t [4], mp_limb_t));
+#define mpn_mod_1s_1p __MPN(mod_1s_1p)
+__GMP_DECLSPEC mp_limb_t mpn_mod_1s_1p __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t [4]));
+
+#define mpn_mod_1s_2p_cps __MPN(mod_1s_2p_cps)
+__GMP_DECLSPEC void mpn_mod_1s_2p_cps __GMP_PROTO ((mp_limb_t [5], mp_limb_t));
+#define mpn_mod_1s_2p __MPN(mod_1s_2p)
+__GMP_DECLSPEC mp_limb_t mpn_mod_1s_2p __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t [5]));
+
+#define mpn_mod_1s_3p_cps __MPN(mod_1s_3p_cps)
+__GMP_DECLSPEC void mpn_mod_1s_3p_cps __GMP_PROTO ((mp_limb_t [6], mp_limb_t));
+#define mpn_mod_1s_3p __MPN(mod_1s_3p)
+__GMP_DECLSPEC mp_limb_t mpn_mod_1s_3p __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t [6]));
+
+#define mpn_mod_1s_4p_cps __MPN(mod_1s_4p_cps)
+__GMP_DECLSPEC void mpn_mod_1s_4p_cps __GMP_PROTO ((mp_limb_t [7], mp_limb_t));
+#define mpn_mod_1s_4p __MPN(mod_1s_4p)
+__GMP_DECLSPEC mp_limb_t mpn_mod_1s_4p __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t [7]));
+
+
+typedef __gmp_randstate_struct *gmp_randstate_ptr;
+typedef const __gmp_randstate_struct *gmp_randstate_srcptr;
+
+/* Pseudo-random number generator function pointers structure. */
+typedef struct {
+ void (*randseed_fn) __GMP_PROTO ((gmp_randstate_t, mpz_srcptr));
+ void (*randget_fn) __GMP_PROTO ((gmp_randstate_t, mp_ptr, unsigned long int));
+ void (*randclear_fn) __GMP_PROTO ((gmp_randstate_t));
+ void (*randiset_fn) __GMP_PROTO ((gmp_randstate_ptr, gmp_randstate_srcptr));
+} gmp_randfnptr_t;
+
+/* Macro to obtain a void pointer to the function pointers structure. */
+#define RNG_FNPTR(rstate) ((rstate)->_mp_algdata._mp_lc)
+
+/* Macro to obtain a pointer to the generator's state.
+ When used as a lvalue the rvalue needs to be cast to mp_ptr. */
+#define RNG_STATE(rstate) ((rstate)->_mp_seed->_mp_d)
+
+/* Write a given number of random bits to rp. */
+#define _gmp_rand(rp, state, bits) \
+ do { \
+ gmp_randstate_ptr __rstate = (state); \
+ (*((gmp_randfnptr_t *) RNG_FNPTR (__rstate))->randget_fn) \
+ (__rstate, rp, bits); \
+ } while (0)
+
+__GMP_DECLSPEC void __gmp_randinit_mt_noseed __GMP_PROTO ((gmp_randstate_t));
+
+
+/* __gmp_rands is the global state for the old-style random functions, and
+ is also used in the test programs (hence the __GMP_DECLSPEC).
+
+ There's no seeding here, so mpz_random etc will generate the same
+ sequence every time. This is not unlike the C library random functions
+ if you don't seed them, so perhaps it's acceptable. Digging up a seed
+ from /dev/random or the like would work on many systems, but might
+ encourage a false confidence, since it'd be pretty much impossible to do
+ something that would work reliably everywhere. In any case the new style
+ functions are recommended to applications which care about randomness, so
+ the old functions aren't too important. */
+
+__GMP_DECLSPEC extern char __gmp_rands_initialized;
+__GMP_DECLSPEC extern gmp_randstate_t __gmp_rands;
+
+#define RANDS \
+ ((__gmp_rands_initialized ? 0 \
+ : (__gmp_rands_initialized = 1, \
+ __gmp_randinit_mt_noseed (__gmp_rands), 0)), \
+ __gmp_rands)
+
+/* this is used by the test programs, to free memory */
+#define RANDS_CLEAR() \
+ do { \
+ if (__gmp_rands_initialized) \
+ { \
+ __gmp_rands_initialized = 0; \
+ gmp_randclear (__gmp_rands); \
+ } \
+ } while (0)
+
+
+/* FIXME: Make these itch functions less conservative. Also consider making
+ them dependent on just 'an', and compute the allocation directly from 'an'
+ instead of via n. */
+static inline mp_size_t
+mpn_toom22_mul_itch (mp_size_t an, mp_size_t bn)
+{
+ mp_size_t n = 1 + (2 * an >= 3 * bn ? (an - 1) / (size_t) 3 : (bn - 1) >> 1);
+ return 4 * n + 2;
+}
+
+static inline mp_size_t
+mpn_toom33_mul_itch (mp_size_t an, mp_size_t bn)
+{
+ /* We could trim this to 4n+3 if HAVE_NATIVE_mpn_sublsh1_n, since
+ mpn_toom_interpolate_5pts only needs scratch otherwise. */
+ mp_size_t n = (an + 2) / (size_t) 3;
+ return 6 * n + GMP_NUMB_BITS;
+}
+
+static inline mp_size_t
+mpn_toom44_mul_itch (mp_size_t an, mp_size_t bn)
+{
+ mp_size_t n = (an + 3) >> 2;
+ return 12 * n + GMP_NUMB_BITS;
+}
+
+static inline mp_size_t
+mpn_toom32_mul_itch (mp_size_t an, mp_size_t bn)
+{
+ mp_size_t n = 1 + (2 * an >= 3 * bn ? (an - 1) / (size_t) 3 : (bn - 1) >> 1);
+ return 4 * n + 2;
+}
+
+static inline mp_size_t
+mpn_toom42_mul_itch (mp_size_t an, mp_size_t bn)
+{
+ /* We could trim this to 4n+3 if HAVE_NATIVE_mpn_sublsh1_n, since
+ mpn_toom_interpolate_5pts only needs scratch otherwise. */
+ mp_size_t n = an >= 2 * bn ? (an + 3) >> 2 : (bn + 1) >> 1;
+ return 6 * n + 3;
+}
+
+static inline mp_size_t
+mpn_toom53_mul_itch (mp_size_t an, mp_size_t bn)
+{
+ mp_size_t n = 1 + (3 * an >= 5 * bn ? (an - 1) / (size_t) 5 : (bn - 1) / (size_t) 3);
+ return 10 * n + 10;
+}
+
+static inline mp_size_t
+mpn_toom2_sqr_itch (mp_size_t an)
+{
+ mp_size_t n = 1 + ((an - 1) >> 1);
+ return 4 * n + 2;
+}
+
+static inline mp_size_t
+mpn_toom3_sqr_itch (mp_size_t an)
+{
+ /* We could trim this to 4n+3 if HAVE_NATIVE_mpn_sublsh1_n, since
+ mpn_toom_interpolate_5pts only needs scratch otherwise. */
+ mp_size_t n = (an + 2) / (size_t) 3;
+ return 6 * n + GMP_NUMB_BITS;
+}
+
+static inline mp_size_t
+mpn_toom4_sqr_itch (mp_size_t an)
+{
+ mp_size_t n = (an + 3) >> 2;
+ return 12 * n + GMP_NUMB_BITS;
+}
+
+
+/* kara uses n+1 limbs of temporary space and then recurses with the balance,
+ so need (n+1) + (ceil(n/2)+1) + (ceil(n/4)+1) + ... This can be solved to
+ 2n + o(n). Since n is very limited, o(n) in practice could be around 15.
+ For now, assume n is arbitrarily large. */
+#define MPN_KARA_MUL_N_TSIZE(n) (2*(n) + 2*GMP_LIMB_BITS)
+#define MPN_KARA_SQR_N_TSIZE(n) (2*(n) + 2*GMP_LIMB_BITS)
+
+/* toom3 uses 2n + 2n/3 + o(n) limbs of temporary space if mpn_sublsh1_n is
+ unavailable, but just 2n + o(n) if mpn_sublsh1_n is available. It is hard
+ to pin down the value of o(n), since it is a complex function of
+ MUL_TOOM3_THRESHOLD and n. Normally toom3 is used between kara and fft; in
+ that case o(n) will be really limited. If toom3 is used for arbitrarily
+ large operands, o(n) will be larger. These definitions handle operands of
+ up to 8956264246117233 limbs. A single multiplication using toom3 on the
+ fastest hardware currently (2008) would need 10 million years, which
+ suggests that these limits are acceptable. */
+#if WANT_FFT
+#if HAVE_NATIVE_mpn_sublsh1_n
+#define MPN_TOOM3_MUL_N_TSIZE(n) (2*(n) + 63)
+#define MPN_TOOM3_SQR_N_TSIZE(n) (2*(n) + 63)
+#else
+#define MPN_TOOM3_MUL_N_TSIZE(n) (2*(n) + 2*(n/3) + 63)
+#define MPN_TOOM3_SQR_N_TSIZE(n) (2*(n) + 2*(n/3) + 63)
+#endif
+#else /* WANT_FFT */
+#if HAVE_NATIVE_mpn_sublsh1_n
+#define MPN_TOOM3_MUL_N_TSIZE(n) (2*(n) + 255)
+#define MPN_TOOM3_SQR_N_TSIZE(n) (2*(n) + 255)
+#else
+#define MPN_TOOM3_MUL_N_TSIZE(n) (2*(n) + 2*(n/3) + 255)
+#define MPN_TOOM3_SQR_N_TSIZE(n) (2*(n) + 2*(n/3) + 255)
+#endif
+#define MPN_TOOM44_MAX_N 285405
+#endif /* WANT_FFT */
+
+/* need 2 so that n2>=1 */
+#define MPN_KARA_MUL_N_MINSIZE 2
+#define MPN_KARA_SQR_N_MINSIZE 2
+
+/* Need l>=1, ls>=1, and 2*ls > l (the latter for the tD MPN_INCR_U) */
+#define MPN_TOOM3_MUL_N_MINSIZE 17
+#define MPN_TOOM3_SQR_N_MINSIZE 17
+
+#define MPN_TOOM44_MUL_N_MINSIZE 30 /* ??? */
+#define MPN_TOOM4_SQR_N_MINSIZE 30 /* ??? */
+
+#define mpn_sqr_diagonal __MPN(sqr_diagonal)
+void mpn_sqr_diagonal __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
+
+#define mpn_kara_mul_n __MPN(kara_mul_n)
+void mpn_kara_mul_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t, mp_ptr));
+
+#define mpn_kara_sqr_n __MPN(kara_sqr_n)
+void mpn_kara_sqr_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_ptr));
+
+#define mpn_toom_interpolate_5pts __MPN(toom_interpolate_5pts)
+void mpn_toom_interpolate_5pts __GMP_PROTO ((mp_ptr, mp_ptr, mp_ptr, mp_size_t, mp_size_t, int, mp_limb_t, mp_ptr));
+
+enum toom4_flags { toom4_w1_neg = 1, toom4_w3_neg = 2 }; /* FIXME */
+#define mpn_toom_interpolate_7pts __MPN(toom_interpolate_7pts)
+void mpn_toom_interpolate_7pts __GMP_PROTO ((mp_ptr, mp_size_t, enum toom4_flags, mp_ptr, mp_ptr, mp_ptr, mp_ptr, mp_size_t, mp_ptr));
+
+#define mpn_toom3_mul_n __MPN(toom3_mul_n)
+void mpn_toom3_mul_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t,mp_ptr));
+
+#define mpn_toom3_sqr_n __MPN(toom3_sqr_n)
+void mpn_toom3_sqr_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_ptr));
+
+#define mpn_toom22_mul __MPN(toom22_mul)
+void mpn_toom22_mul __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr));
+
+#define mpn_toom2_sqr __MPN(toom2_sqr)
+void mpn_toom2_sqr __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_ptr));
+
+#define mpn_toom33_mul __MPN(toom33_mul)
+void mpn_toom33_mul __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr));
+
+#define mpn_toom3_sqr __MPN(toom3_sqr)
+void mpn_toom3_sqr __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_ptr));
+
+#define mpn_toom44_mul __MPN(toom44_mul)
+void mpn_toom44_mul __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr));
+
+#define mpn_toom32_mul __MPN(toom32_mul)
+void mpn_toom32_mul __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr));
+
+#define mpn_toom42_mul __MPN(toom42_mul)
+void mpn_toom42_mul __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr));
+
+#define mpn_toom53_mul __MPN(toom53_mul)
+void mpn_toom53_mul __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr));
+
+#define mpn_toom62_mul __MPN(toom62_mul)
+void mpn_toom62_mul __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr));
+
+#define mpn_toom4_sqr __MPN(toom4_sqr)
+void mpn_toom4_sqr __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_ptr));
+
+#define mpn_fft_best_k __MPN(fft_best_k)
+int mpn_fft_best_k __GMP_PROTO ((mp_size_t, int)) ATTRIBUTE_CONST;
+
+#define mpn_mul_fft __MPN(mul_fft)
+void mpn_mul_fft __GMP_PROTO ((mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, int));
+
+#define mpn_mul_fft_full __MPN(mul_fft_full)
+void mpn_mul_fft_full __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t));
+
+#define mpn_fft_next_size __MPN(fft_next_size)
+mp_size_t mpn_fft_next_size __GMP_PROTO ((mp_size_t, int)) ATTRIBUTE_CONST;
+
+#define mpn_sb_divrem_mn __MPN(sb_divrem_mn)
+mp_limb_t mpn_sb_divrem_mn __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t));
+
+#define mpn_dc_divrem_n __MPN(dc_divrem_n)
+mp_limb_t mpn_dc_divrem_n __GMP_PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_size_t));
+
+#define mpn_sb_div_qr __MPN(sb_div_qr)
+mp_limb_t mpn_sb_div_qr __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr));
+#define mpn_sb_div_q __MPN(sb_div_q)
+mp_limb_t mpn_sb_div_q __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr));
+#define mpn_sb_divappr_q __MPN(sb_divappr_q)
+mp_limb_t mpn_sb_divappr_q __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr));
+#define mpn_dc_div_qr __MPN(dc_div_qr)
+mp_limb_t mpn_dc_div_qr __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t));
+#define mpn_dc_div_qr_n __MPN(dc_div_qr_n)
+mp_limb_t mpn_dc_div_qr_n __GMP_PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_ptr));
+#define mpn_dc_div_q __MPN(dc_div_q)
+mp_limb_t mpn_dc_div_q __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t));
+#define mpn_preinv_dc_div_qr __MPN(preinv_dc_div_qr)
+mp_limb_t mpn_preinv_dc_div_qr __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr));
+#define mpn_dc_divappr_q __MPN(dc_divappr_q)
+mp_limb_t mpn_dc_divappr_q __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t));
+#define mpn_dc_divappr_q_n __MPN(dc_divappr_q_n)
+mp_limb_t mpn_dc_divappr_q_n __GMP_PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_ptr));
+#define mpn_preinv_dc_divappr_q __MPN(preinv_dc_divappr_q)
+mp_limb_t mpn_preinv_dc_divappr_q __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr));
+#define mpn_mu_div_qr __MPN(mu_div_qr)
+mp_limb_t mpn_mu_div_qr __GMP_PROTO ((mp_ptr, mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr));
+#define mpn_mu_div_qr_itch __MPN(mu_div_qr_itch)
+mp_size_t mpn_mu_div_qr_itch __GMP_PROTO ((mp_size_t, mp_size_t, int));
+#define mpn_mu_div_qr_choose_in __MPN(mu_div_qr_choose_in)
+mp_size_t mpn_mu_div_qr_choose_in __GMP_PROTO ((mp_size_t, mp_size_t, int));
+#define mpn_preinv_mu_div_qr __MPN(preinv_mu_div_qr)
+void mpn_preinv_mu_div_qr __GMP_PROTO ((mp_ptr, mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr));
+#define mpn_mu_divappr_q __MPN(mu_divappr_q)
+mp_limb_t mpn_mu_divappr_q __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr));
+#define mpn_mu_divappr_q_itch __MPN(mu_divappr_q_itch)
+mp_size_t mpn_mu_divappr_q_itch __GMP_PROTO ((mp_size_t, mp_size_t, int));
+#define mpn_mu_divappr_q_choose_in __MPN(mu_divappr_q_choose_in)
+mp_size_t mpn_mu_divappr_q_choose_in __GMP_PROTO ((mp_size_t, mp_size_t, int));
+#define mpn_preinv_mu_divappr_q __MPN(preinv_mu_divappr_q)
+void mpn_preinv_mu_divappr_q __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr));
+#define mpn_mu_div_q __MPN(mu_div_q)
+mp_limb_t mpn_mu_div_q __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr));
+#define mpn_invert __MPN(invert)
+void mpn_invert __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_ptr));
+#define mpn_invert_itch __MPN(invert_itch)
+mp_size_t mpn_invert_itch __GMP_PROTO ((mp_size_t));
+
+#define mpn_binvert __MPN(binvert)
+void mpn_binvert __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_ptr));
+#define mpn_binvert_itch __MPN(binvert_itch)
+mp_size_t mpn_binvert_itch __GMP_PROTO ((mp_size_t));
+#define mpn_sb_bdiv_qr __MPN(sb_bdiv_qr)
+mp_limb_t mpn_sb_bdiv_qr __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t));
+#define mpn_sb_bdiv_q __MPN(sb_bdiv_q)
+void mpn_sb_bdiv_q __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t));
+#define mpn_dc_bdiv_qr __MPN(dc_bdiv_qr)
+mp_limb_t mpn_dc_bdiv_qr __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t));
+#define mpn_dc_bdiv_qr_n_itch __MPN(dc_bdiv_qr_n_itch)
+mp_size_t mpn_dc_bdiv_qr_n_itch __GMP_PROTO ((mp_size_t));
+#define mpn_dc_bdiv_qr_n __MPN(dc_bdiv_qr_n)
+mp_limb_t mpn_dc_bdiv_qr_n __GMP_PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr));
+#define mpn_dc_bdiv_q __MPN(dc_bdiv_q)
+void mpn_dc_bdiv_q __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t));
+#define mpn_dc_bdiv_q_n_itch __MPN(dc_bdiv_q_n_itch)
+mp_size_t mpn_dc_bdiv_q_n_itch __GMP_PROTO ((mp_size_t));
+#define mpn_dc_bdiv_q_n __MPN(dc_bdiv_q_n)
+void mpn_dc_bdiv_q_n __GMP_PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr));
+#define mpn_mu_bdiv_qr __MPN(mu_bdiv_qr)
+void mpn_mu_bdiv_qr __GMP_PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr));
+#define mpn_mu_bdiv_qr_itch __MPN(mu_bdiv_qr_itch)
+mp_size_t mpn_mu_bdiv_qr_itch __GMP_PROTO ((mp_size_t, mp_size_t));
+#define mpn_mu_bdiv_q __MPN(mu_bdiv_q)
+void mpn_mu_bdiv_q __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr));
+#define mpn_mu_bdiv_q_itch __MPN(mu_bdiv_q_itch)
+mp_size_t mpn_mu_bdiv_q_itch __GMP_PROTO ((mp_size_t, mp_size_t));
+
+#define mpn_divexact __MPN(divexact)
+void mpn_divexact __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr));
+#define mpn_divexact_itch __MPN(divexact_itch)
+mp_size_t mpn_divexact_itch __GMP_PROTO ((mp_size_t, mp_size_t));
+
+
+#define mpn_bdiv_dbm1c __MPN(bdiv_dbm1c)
+mp_limb_t mpn_bdiv_dbm1c __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t));
+#define mpn_bdiv_dbm1(dst, src, size, divisor) \
+ mpn_bdiv_dbm1c (dst, src, size, divisor, __GMP_CAST (mp_limb_t, 0))
+
+#define mpn_powm __MPN(powm)
+void mpn_powm __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr));
+#define mpn_powlo __MPN(powlo)
+void mpn_powlo __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t, mp_size_t, mp_ptr));
+
+#define mpn_powm_sec __MPN(powm_sec)
+void mpn_powm_sec __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr));
+#define mpn_subcnd_n __MPN(subcnd_n)
+mp_limb_t mpn_subcnd_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t, mp_limb_t));
+#define mpn_tabselect __MPN(tabselect)
+void mpn_tabselect __GMP_PROTO ((volatile mp_limb_t *, volatile mp_limb_t *, mp_size_t, mp_size_t, mp_size_t));
+
+#ifndef DIVEXACT_BY3_METHOD
+#if GMP_NUMB_BITS % 2 == 0 && ! defined (HAVE_NATIVE_mpn_divexact_by3c)
+#define DIVEXACT_BY3_METHOD 0 /* default to using mpn_bdiv_dbm1c */
+#else
+#define DIVEXACT_BY3_METHOD 1
+#endif
+#endif
+
+#if DIVEXACT_BY3_METHOD == 0
+#undef mpn_divexact_by3
+#define mpn_divexact_by3(dst,src,size) \
+ (3 & mpn_bdiv_dbm1 (dst, src, size, __GMP_CAST (mp_limb_t, GMP_NUMB_MASK / 3)))
+/* override mpn_divexact_by3c defined in gmp.h */
+/*
+#undef mpn_divexact_by3c
+#define mpn_divexact_by3c(dst,src,size,cy) \
+ (3 & mpn_bdiv_dbm1c (dst, src, size, __GMP_CAST (mp_limb_t, GMP_NUMB_MASK / 3, GMP_NUMB_MASK / 3 * cy)))
+*/
+#endif
+
+#if GMP_NUMB_BITS % 4 == 0
+#define mpn_divexact_by5(dst,src,size) \
+ (7 & 3 * mpn_bdiv_dbm1 (dst, src, size, __GMP_CAST (mp_limb_t, GMP_NUMB_MASK / 5)))
+#endif
+
+#if GMP_NUMB_BITS % 6 == 0
+#define mpn_divexact_by7(dst,src,size) \
+ (7 & 1 * mpn_bdiv_dbm1 (dst, src, size, __GMP_CAST (mp_limb_t, GMP_NUMB_MASK / 7)))
+#endif
+
+#if GMP_NUMB_BITS % 6 == 0
+#define mpn_divexact_by9(dst,src,size) \
+ (15 & 7 * mpn_bdiv_dbm1 (dst, src, size, __GMP_CAST (mp_limb_t, GMP_NUMB_MASK / 9)))
+#endif
+
+#if GMP_NUMB_BITS % 10 == 0
+#define mpn_divexact_by11(dst,src,size) \
+ (15 & 5 * mpn_bdiv_dbm1 (dst, src, size, __GMP_CAST (mp_limb_t, GMP_NUMB_MASK / 11)))
+#endif
+
+#if GMP_NUMB_BITS % 12 == 0
+#define mpn_divexact_by13(dst,src,size) \
+ (15 & 3 * mpn_bdiv_dbm1 (dst, src, size, __GMP_CAST (mp_limb_t, GMP_NUMB_MASK / 13)))
+#endif
+
+#if GMP_NUMB_BITS % 4 == 0
+#define mpn_divexact_by15(dst,src,size) \
+ (15 & 1 * mpn_bdiv_dbm1 (dst, src, size, __GMP_CAST (mp_limb_t, GMP_NUMB_MASK / 15)))
+#endif
+
+#define mpz_divexact_gcd __gmpz_divexact_gcd
+void mpz_divexact_gcd __GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
+
+#define mpz_inp_str_nowhite __gmpz_inp_str_nowhite
+#ifdef _GMP_H_HAVE_FILE
+size_t mpz_inp_str_nowhite __GMP_PROTO ((mpz_ptr, FILE *, int, int, size_t));
+#endif
+
+#define mpn_divisible_p __MPN(divisible_p)
+int mpn_divisible_p __GMP_PROTO ((mp_srcptr, mp_size_t, mp_srcptr, mp_size_t)) __GMP_ATTRIBUTE_PURE;
+
+#define mpn_rootrem __MPN(rootrem)
+mp_size_t mpn_rootrem __GMP_PROTO ((mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
+
+
+#if defined (_CRAY)
+#define MPN_COPY_INCR(dst, src, n) \
+ do { \
+ int __i; /* Faster on some Crays with plain int */ \
+ _Pragma ("_CRI ivdep"); \
+ for (__i = 0; __i < (n); __i++) \
+ (dst)[__i] = (src)[__i]; \
+ } while (0)
+#endif
+
+/* used by test programs, hence __GMP_DECLSPEC */
+#ifndef mpn_copyi /* if not done with cpuvec in a fat binary */
+#define mpn_copyi __MPN(copyi)
+__GMP_DECLSPEC void mpn_copyi __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
+#endif
+
+#if ! defined (MPN_COPY_INCR) && HAVE_NATIVE_mpn_copyi
+#define MPN_COPY_INCR(dst, src, size) \
+ do { \
+ ASSERT ((size) >= 0); \
+ ASSERT (MPN_SAME_OR_INCR_P (dst, src, size)); \
+ mpn_copyi (dst, src, size); \
+ } while (0)
+#endif
+
+/* Copy N limbs from SRC to DST incrementing, N==0 allowed. */
+#if ! defined (MPN_COPY_INCR)
+#define MPN_COPY_INCR(dst, src, n) \
+ do { \
+ ASSERT ((n) >= 0); \
+ ASSERT (MPN_SAME_OR_INCR_P (dst, src, n)); \
+ if ((n) != 0) \
+ { \
+ mp_size_t __n = (n) - 1; \
+ mp_ptr __dst = (dst); \
+ mp_srcptr __src = (src); \
+ mp_limb_t __x; \
+ __x = *__src++; \
+ if (__n != 0) \
+ { \
+ do \
+ { \
+ *__dst++ = __x; \
+ __x = *__src++; \
+ } \
+ while (--__n); \
+ } \
+ *__dst++ = __x; \
+ } \
+ } while (0)
+#endif
+
+
+#if defined (_CRAY)
+#define MPN_COPY_DECR(dst, src, n) \
+ do { \
+ int __i; /* Faster on some Crays with plain int */ \
+ _Pragma ("_CRI ivdep"); \
+ for (__i = (n) - 1; __i >= 0; __i--) \
+ (dst)[__i] = (src)[__i]; \
+ } while (0)
+#endif
+
+/* used by test programs, hence __GMP_DECLSPEC */
+#ifndef mpn_copyd /* if not done with cpuvec in a fat binary */
+#define mpn_copyd __MPN(copyd)
+__GMP_DECLSPEC void mpn_copyd __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
+#endif
+
+#if ! defined (MPN_COPY_DECR) && HAVE_NATIVE_mpn_copyd
+#define MPN_COPY_DECR(dst, src, size) \
+ do { \
+ ASSERT ((size) >= 0); \
+ ASSERT (MPN_SAME_OR_DECR_P (dst, src, size)); \
+ mpn_copyd (dst, src, size); \
+ } while (0)
+#endif
+
+/* Copy N limbs from SRC to DST decrementing, N==0 allowed. */
+#if ! defined (MPN_COPY_DECR)
+#define MPN_COPY_DECR(dst, src, n) \
+ do { \
+ ASSERT ((n) >= 0); \
+ ASSERT (MPN_SAME_OR_DECR_P (dst, src, n)); \
+ if ((n) != 0) \
+ { \
+ mp_size_t __n = (n) - 1; \
+ mp_ptr __dst = (dst) + __n; \
+ mp_srcptr __src = (src) + __n; \
+ mp_limb_t __x; \
+ __x = *__src--; \
+ if (__n != 0) \
+ { \
+ do \
+ { \
+ *__dst-- = __x; \
+ __x = *__src--; \
+ } \
+ while (--__n); \
+ } \
+ *__dst-- = __x; \
+ } \
+ } while (0)
+#endif
+
+
+#ifndef MPN_COPY
+#define MPN_COPY(d,s,n) \
+ do { \
+ ASSERT (MPN_SAME_OR_SEPARATE_P (d, s, n)); \
+ MPN_COPY_INCR (d, s, n); \
+ } while (0)
+#endif
+
+
+/* Set {dst,size} to the limbs of {src,size} in reverse order. */
+#define MPN_REVERSE(dst, src, size) \
+ do { \
+ mp_ptr __dst = (dst); \
+ mp_size_t __size = (size); \
+ mp_srcptr __src = (src) + __size - 1; \
+ mp_size_t __i; \
+ ASSERT ((size) >= 0); \
+ ASSERT (! MPN_OVERLAP_P (dst, size, src, size)); \
+ CRAY_Pragma ("_CRI ivdep"); \
+ for (__i = 0; __i < __size; __i++) \
+ { \
+ *__dst = *__src; \
+ __dst++; \
+ __src--; \
+ } \
+ } while (0)
+
+
+/* Zero n limbs at dst.
+
+ For power and powerpc we want an inline stu/bdnz loop for zeroing. On
+ ppc630 for instance this is optimal since it can sustain only 1 store per
+ cycle.
+
+ gcc 2.95.x (for powerpc64 -maix64, or powerpc32) doesn't recognise the
+ "for" loop in the generic code below can become stu/bdnz. The do/while
+ here helps it get to that. The same caveat about plain -mpowerpc64 mode
+ applies here as to __GMPN_COPY_INCR in gmp.h.
+
+ xlc 3.1 already generates stu/bdnz from the generic C, and does so from
+ this loop too.
+
+ Enhancement: GLIBC does some trickery with dcbz to zero whole cache lines
+ at a time. MPN_ZERO isn't all that important in GMP, so it might be more
+ trouble than it's worth to do the same, though perhaps a call to memset
+ would be good when on a GNU system. */
+
+#if HAVE_HOST_CPU_FAMILY_power || HAVE_HOST_CPU_FAMILY_powerpc
+#define MPN_ZERO(dst, n) \
+ do { \
+ ASSERT ((n) >= 0); \
+ if ((n) != 0) \
+ { \
+ mp_ptr __dst = (dst) - 1; \
+ mp_size_t __n = (n); \
+ do \
+ *++__dst = 0; \
+ while (--__n); \
+ } \
+ } while (0)
+#endif
+
+#ifndef MPN_ZERO
+#define MPN_ZERO(dst, n) \
+ do { \
+ ASSERT ((n) >= 0); \
+ if ((n) != 0) \
+ { \
+ mp_ptr __dst = (dst); \
+ mp_size_t __n = (n); \
+ do \
+ *__dst++ = 0; \
+ while (--__n); \
+ } \
+ } while (0)
+#endif
+
+
+/* On the x86s repe/scasl doesn't seem useful, since it takes many cycles to
+ start up and would need to strip a lot of zeros before it'd be faster
+ than a simple cmpl loop. Here are some times in cycles for
+ std/repe/scasl/cld and cld/repe/scasl (the latter would be for stripping
+ low zeros).
+
+ std cld
+ P5 18 16
+ P6 46 38
+ K6 36 13
+ K7 21 20
+*/
+#ifndef MPN_NORMALIZE
+#define MPN_NORMALIZE(DST, NLIMBS) \
+ do { \
+ while ((NLIMBS) > 0) \
+ { \
+ if ((DST)[(NLIMBS) - 1] != 0) \
+ break; \
+ (NLIMBS)--; \
+ } \
+ } while (0)
+#endif
+#ifndef MPN_NORMALIZE_NOT_ZERO
+#define MPN_NORMALIZE_NOT_ZERO(DST, NLIMBS) \
+ do { \
+ ASSERT ((NLIMBS) >= 1); \
+ while (1) \
+ { \
+ if ((DST)[(NLIMBS) - 1] != 0) \
+ break; \
+ (NLIMBS)--; \
+ } \
+ } while (0)
+#endif
+
+/* Strip least significant zero limbs from {ptr,size} by incrementing ptr
+ and decrementing size. low should be ptr[0], and will be the new ptr[0]
+ on returning. The number in {ptr,size} must be non-zero, ie. size!=0 and
+ somewhere a non-zero limb. */
+#define MPN_STRIP_LOW_ZEROS_NOT_ZERO(ptr, size, low) \
+ do { \
+ ASSERT ((size) >= 1); \
+ ASSERT ((low) == (ptr)[0]); \
+ \
+ while ((low) == 0) \
+ { \
+ (size)--; \
+ ASSERT ((size) >= 1); \
+ (ptr)++; \
+ (low) = *(ptr); \
+ } \
+ } while (0)
+
+/* Initialize X of type mpz_t with space for NLIMBS limbs. X should be a
+ temporary variable; it will be automatically cleared out at function
+ return. We use __x here to make it possible to accept both mpz_ptr and
+ mpz_t arguments. */
+#define MPZ_TMP_INIT(X, NLIMBS) \
+ do { \
+ mpz_ptr __x = (X); \
+ ASSERT ((NLIMBS) >= 1); \
+ __x->_mp_alloc = (NLIMBS); \
+ __x->_mp_d = (mp_ptr) TMP_ALLOC ((NLIMBS) * BYTES_PER_MP_LIMB); \
+ } while (0)
+
+/* Realloc for an mpz_t WHAT if it has less than NEEDED limbs. */
+#define MPZ_REALLOC(z,n) (UNLIKELY ((n) > ALLOC(z)) \
+ ? (mp_ptr) _mpz_realloc(z,n) \
+ : PTR(z))
+
+#define MPZ_EQUAL_1_P(z) (SIZ(z)==1 && PTR(z)[0] == 1)
+
+
+/* MPN_FIB2_SIZE(n) is the size in limbs required by mpn_fib2_ui for fp and
+ f1p.
+
+ From Knuth vol 1 section 1.2.8, F[n] = phi^n/sqrt(5) rounded to the
+ nearest integer, where phi=(1+sqrt(5))/2 is the golden ratio. So the
+ number of bits required is n*log_2((1+sqrt(5))/2) = n*0.6942419.
+
+ The multiplier used is 23/32=0.71875 for efficient calculation on CPUs
+ without good floating point. There's +2 for rounding up, and a further
+ +2 since at the last step x limbs are doubled into a 2x+1 limb region
+ whereas the actual F[2k] value might be only 2x-1 limbs.
+
+ Note that a division is done first, since on a 32-bit system it's at
+ least conceivable to go right up to n==ULONG_MAX. (F[2^32-1] would be
+ about 380Mbytes, plus temporary workspace of about 1.2Gbytes here and
+ whatever a multiply of two 190Mbyte numbers takes.)
+
+ Enhancement: When GMP_NUMB_BITS is not a power of 2 the division could be
+ worked into the multiplier. */
+
+#define MPN_FIB2_SIZE(n) \
+ ((mp_size_t) ((n) / 32 * 23 / GMP_NUMB_BITS) + 4)
+
+
+/* FIB_TABLE(n) returns the Fibonacci number F[n]. Must have n in the range
+ -1 <= n <= FIB_TABLE_LIMIT (that constant in fib_table.h).
+
+ FIB_TABLE_LUCNUM_LIMIT (in fib_table.h) is the largest n for which L[n] =
+ F[n] + 2*F[n-1] fits in a limb. */
+
+__GMP_DECLSPEC extern const mp_limb_t __gmp_fib_table[];
+#define FIB_TABLE(n) (__gmp_fib_table[(n)+1])
+
+
+/* For a threshold between algorithms A and B, size>=thresh is where B
+ should be used. Special value MP_SIZE_T_MAX means only ever use A, or
+ value 0 means only ever use B. The tests for these special values will
+ be compile-time constants, so the compiler should be able to eliminate
+ the code for the unwanted algorithm. */
+
+#define ABOVE_THRESHOLD(size,thresh) \
+ ((thresh) == 0 \
+ || ((thresh) != MP_SIZE_T_MAX \
+ && (size) >= (thresh)))
+#define BELOW_THRESHOLD(size,thresh) (! ABOVE_THRESHOLD (size, thresh))
+
+/* Usage: int use_foo = BELOW_THRESHOLD (size, FOO_THRESHOLD);
+ ...
+ if (CACHED_BELOW_THRESHOLD (use_foo, size, FOO_THRESHOLD))
+
+ When "use_foo" is a constant (thresh is 0 or MP_SIZE_T), gcc prior to
+ version 3.3 doesn't optimize away a test "if (use_foo)" when within a
+ loop. CACHED_BELOW_THRESHOLD helps it do so. */
+
+#define CACHED_ABOVE_THRESHOLD(cache, thresh) \
+ ((thresh) == 0 || (thresh) == MP_SIZE_T_MAX \
+ ? ABOVE_THRESHOLD (0, thresh) \
+ : (cache))
+#define CACHED_BELOW_THRESHOLD(cache, thresh) \
+ ((thresh) == 0 || (thresh) == MP_SIZE_T_MAX \
+ ? BELOW_THRESHOLD (0, thresh) \
+ : (cache))
+
+
+/* If MUL_KARATSUBA_THRESHOLD is not already defined, define it to a
+ value which is good on most machines. */
+#ifndef MUL_KARATSUBA_THRESHOLD
+#define MUL_KARATSUBA_THRESHOLD 32
+#endif
+
+/* If MUL_TOOM3_THRESHOLD is not already defined, define it to a
+ value which is good on most machines. */
+#ifndef MUL_TOOM3_THRESHOLD
+#define MUL_TOOM3_THRESHOLD 128
+#endif
+
+#ifndef MUL_TOOM44_THRESHOLD
+#define MUL_TOOM44_THRESHOLD 500
+#endif
+
+/* Source compatibility while source is in flux. */
+#define MUL_TOOM22_THRESHOLD MUL_KARATSUBA_THRESHOLD
+#define MUL_TOOM33_THRESHOLD MUL_TOOM3_THRESHOLD
+#define SQR_TOOM2_THRESHOLD SQR_KARATSUBA_THRESHOLD
+
+/* MUL_KARATSUBA_THRESHOLD_LIMIT is the maximum for MUL_KARATSUBA_THRESHOLD.
+ In a normal build MUL_KARATSUBA_THRESHOLD is a constant and we use that.
+ In a fat binary or tune program build MUL_KARATSUBA_THRESHOLD is a
+ variable and a separate hard limit will have been defined. Similarly for
+ TOOM3. */
+#ifndef MUL_KARATSUBA_THRESHOLD_LIMIT
+#define MUL_KARATSUBA_THRESHOLD_LIMIT MUL_KARATSUBA_THRESHOLD
+#endif
+#ifndef MUL_TOOM3_THRESHOLD_LIMIT
+#define MUL_TOOM3_THRESHOLD_LIMIT MUL_TOOM3_THRESHOLD
+#endif
+#ifndef MULLOW_BASECASE_THRESHOLD_LIMIT
+#define MULLOW_BASECASE_THRESHOLD_LIMIT MULLOW_BASECASE_THRESHOLD
+#endif
+
+/* SQR_BASECASE_THRESHOLD is where mpn_sqr_basecase should take over from
+ mpn_mul_basecase in mpn_sqr_n. Default is to use mpn_sqr_basecase
+ always. (Note that we certainly always want it if there's a native
+ assembler mpn_sqr_basecase.)
+
+ If it turns out that mpn_kara_sqr_n becomes faster than mpn_mul_basecase
+ before mpn_sqr_basecase does, then SQR_BASECASE_THRESHOLD is the
+ karatsuba threshold and SQR_KARATSUBA_THRESHOLD is 0. This oddity arises
+ more or less because SQR_KARATSUBA_THRESHOLD represents the size up to
+ which mpn_sqr_basecase should be used, and that may be never. */
+
+#ifndef SQR_BASECASE_THRESHOLD
+#define SQR_BASECASE_THRESHOLD 0
+#endif
+
+#ifndef SQR_KARATSUBA_THRESHOLD
+#define SQR_KARATSUBA_THRESHOLD (2*MUL_KARATSUBA_THRESHOLD)
+#endif
+
+#ifndef SQR_TOOM3_THRESHOLD
+#define SQR_TOOM3_THRESHOLD 128
+#endif
+
+#ifndef SQR_TOOM4_THRESHOLD
+#define SQR_TOOM4_THRESHOLD 500
+#endif
+
+/* See comments above about MUL_TOOM3_THRESHOLD_LIMIT. */
+#ifndef SQR_TOOM3_THRESHOLD_LIMIT
+#define SQR_TOOM3_THRESHOLD_LIMIT SQR_TOOM3_THRESHOLD
+#endif
+
+#ifndef DC_DIV_QR_THRESHOLD
+#define DC_DIV_QR_THRESHOLD 43
+#endif
+
+#ifndef DC_DIVAPPR_Q_THRESHOLD
+#define DC_DIVAPPR_Q_THRESHOLD 208
+#endif
+
+#ifndef DC_DIV_Q_THRESHOLD
+#define DC_DIV_Q_THRESHOLD 228
+#endif
+
+#ifndef DC_BDIV_QR_THRESHOLD
+#define DC_BDIV_QR_THRESHOLD 52
+#endif
+
+#ifndef DC_BDIV_Q_THRESHOLD
+#define DC_BDIV_Q_THRESHOLD 224
+#endif
+
+#ifndef DIVEXACT_JEB_THRESHOLD
+#define DIVEXACT_JEB_THRESHOLD 25
+#endif
+
+#ifndef INV_NEWTON_THRESHOLD
+#define INV_NEWTON_THRESHOLD 654
+#endif
+
+#ifndef BINV_NEWTON_THRESHOLD
+#define BINV_NEWTON_THRESHOLD 807
+#endif
+
+#ifndef MU_DIVAPPR_Q_THRESHOLD
+#define MU_DIVAPPR_Q_THRESHOLD 4000
+#endif
+
+#ifndef MU_DIV_Q_THRESHOLD
+#define MU_DIV_Q_THRESHOLD 4000
+#endif
+
+#ifndef MU_BDIV_Q_THRESHOLD
+#define MU_BDIV_Q_THRESHOLD 2000
+#endif
+
+/* First k to use for an FFT modF multiply. A modF FFT is an order
+ log(2^k)/log(2^(k-1)) algorithm, so k=3 is merely 1.5 like karatsuba,
+ whereas k=4 is 1.33 which is faster than toom3 at 1.485. */
+#define FFT_FIRST_K 4
+
+/* Threshold at which FFT should be used to do a modF NxN -> N multiply. */
+#ifndef MUL_FFT_MODF_THRESHOLD
+#define MUL_FFT_MODF_THRESHOLD (MUL_TOOM3_THRESHOLD * 3)
+#endif
+#ifndef SQR_FFT_MODF_THRESHOLD
+#define SQR_FFT_MODF_THRESHOLD (SQR_TOOM3_THRESHOLD * 3)
+#endif
+
+/* Threshold at which FFT should be used to do an NxN -> 2N multiply. This
+ will be a size where FFT is using k=7 or k=8, since an FFT-k used for an
+ NxN->2N multiply and not recursing into itself is an order
+ log(2^k)/log(2^(k-2)) algorithm, so it'll be at least k=7 at 1.39 which
+ is the first better than toom3. */
+#ifndef MUL_FFT_THRESHOLD
+#define MUL_FFT_THRESHOLD (MUL_FFT_MODF_THRESHOLD * 10)
+#endif
+#ifndef SQR_FFT_THRESHOLD
+#define SQR_FFT_THRESHOLD (SQR_FFT_MODF_THRESHOLD * 10)
+#endif
+
+/* Table of thresholds for successive modF FFT "k"s. The first entry is
+ where FFT_FIRST_K+1 should be used, the second FFT_FIRST_K+2,
+ etc. See mpn_fft_best_k(). */
+#ifndef MUL_FFT_TABLE
+#define MUL_FFT_TABLE \
+ { MUL_TOOM3_THRESHOLD * 4, /* k=5 */ \
+ MUL_TOOM3_THRESHOLD * 8, /* k=6 */ \
+ MUL_TOOM3_THRESHOLD * 16, /* k=7 */ \
+ MUL_TOOM3_THRESHOLD * 32, /* k=8 */ \
+ MUL_TOOM3_THRESHOLD * 96, /* k=9 */ \
+ MUL_TOOM3_THRESHOLD * 288, /* k=10 */ \
+ 0 }
+#endif
+#ifndef SQR_FFT_TABLE
+#define SQR_FFT_TABLE \
+ { SQR_TOOM3_THRESHOLD * 4, /* k=5 */ \
+ SQR_TOOM3_THRESHOLD * 8, /* k=6 */ \
+ SQR_TOOM3_THRESHOLD * 16, /* k=7 */ \
+ SQR_TOOM3_THRESHOLD * 32, /* k=8 */ \
+ SQR_TOOM3_THRESHOLD * 96, /* k=9 */ \
+ SQR_TOOM3_THRESHOLD * 288, /* k=10 */ \
+ 0 }
+#endif
+
+#ifndef FFT_TABLE_ATTRS
+#define FFT_TABLE_ATTRS static const
+#endif
+
+#define MPN_FFT_TABLE_SIZE 16
+
+
+/* mpn_dc_divrem_n(n) calls 2*mul(n/2)+2*div(n/2), thus to be faster than
+ div(n) = 4*div(n/2), we need mul(n/2) to be faster than the classic way,
+ i.e. n/2 >= MUL_KARATSUBA_THRESHOLD
+
+ Measured values are between 2 and 4 times MUL_KARATSUBA_THRESHOLD, so go
+ for 3 as an average. */
+
+#ifndef DIV_DC_THRESHOLD
+#define DIV_DC_THRESHOLD (3 * MUL_KARATSUBA_THRESHOLD)
+#endif
+
+#ifndef GET_STR_DC_THRESHOLD
+#define GET_STR_DC_THRESHOLD 18
+#endif
+
+#ifndef GET_STR_PRECOMPUTE_THRESHOLD
+#define GET_STR_PRECOMPUTE_THRESHOLD 35
+#endif
+
+#ifndef SET_STR_DC_THRESHOLD
+#define SET_STR_DC_THRESHOLD 750
+#endif
+
+#ifndef SET_STR_PRECOMPUTE_THRESHOLD
+#define SET_STR_PRECOMPUTE_THRESHOLD 2000
+#endif
+
+/* Return non-zero if xp,xsize and yp,ysize overlap.
+ If xp+xsize<=yp there's no overlap, or if yp+ysize<=xp there's no
+ overlap. If both these are false, there's an overlap. */
+#define MPN_OVERLAP_P(xp, xsize, yp, ysize) \
+ ((xp) + (xsize) > (yp) && (yp) + (ysize) > (xp))
+#define MEM_OVERLAP_P(xp, xsize, yp, ysize) \
+ ( (char *) (xp) + (xsize) > (char *) (yp) \
+ && (char *) (yp) + (ysize) > (char *) (xp))
+
+/* Return non-zero if xp,xsize and yp,ysize are either identical or not
+ overlapping. Return zero if they're partially overlapping. */
+#define MPN_SAME_OR_SEPARATE_P(xp, yp, size) \
+ MPN_SAME_OR_SEPARATE2_P(xp, size, yp, size)
+#define MPN_SAME_OR_SEPARATE2_P(xp, xsize, yp, ysize) \
+ ((xp) == (yp) || ! MPN_OVERLAP_P (xp, xsize, yp, ysize))
+
+/* Return non-zero if dst,dsize and src,ssize are either identical or
+ overlapping in a way suitable for an incrementing/decrementing algorithm.
+ Return zero if they're partially overlapping in an unsuitable fashion. */
+#define MPN_SAME_OR_INCR2_P(dst, dsize, src, ssize) \
+ ((dst) <= (src) || ! MPN_OVERLAP_P (dst, dsize, src, ssize))
+#define MPN_SAME_OR_INCR_P(dst, src, size) \
+ MPN_SAME_OR_INCR2_P(dst, size, src, size)
+#define MPN_SAME_OR_DECR2_P(dst, dsize, src, ssize) \
+ ((dst) >= (src) || ! MPN_OVERLAP_P (dst, dsize, src, ssize))
+#define MPN_SAME_OR_DECR_P(dst, src, size) \
+ MPN_SAME_OR_DECR2_P(dst, size, src, size)
+
+
+/* ASSERT() is a private assertion checking scheme, similar to <assert.h>.
+ ASSERT() does the check only if WANT_ASSERT is selected, ASSERT_ALWAYS()
+ does it always. Generally assertions are meant for development, but
+ might help when looking for a problem later too.
+
+ Note that strings shouldn't be used within the ASSERT expression,
+ eg. ASSERT(strcmp(s,"notgood")!=0), since the quotes upset the "expr"
+ used in the !HAVE_STRINGIZE case (ie. K&R). */
+
+#ifdef __LINE__
+#define ASSERT_LINE __LINE__
+#else
+#define ASSERT_LINE -1
+#endif
+
+#ifdef __FILE__
+#define ASSERT_FILE __FILE__
+#else
+#define ASSERT_FILE ""
+#endif
+
+void __gmp_assert_header __GMP_PROTO ((const char *, int));
+__GMP_DECLSPEC void __gmp_assert_fail __GMP_PROTO ((const char *, int, const char *)) ATTRIBUTE_NORETURN;
+
+#if HAVE_STRINGIZE
+#define ASSERT_FAIL(expr) __gmp_assert_fail (ASSERT_FILE, ASSERT_LINE, #expr)
+#else
+#define ASSERT_FAIL(expr) __gmp_assert_fail (ASSERT_FILE, ASSERT_LINE, "expr")
+#endif
+
+#define ASSERT_ALWAYS(expr) \
+ do { \
+ if (!(expr)) \
+ ASSERT_FAIL (expr); \
+ } while (0)
+
+#if WANT_ASSERT
+#define ASSERT(expr) ASSERT_ALWAYS (expr)
+#else
+#define ASSERT(expr) do {} while (0)
+#endif
+
+
+/* ASSERT_CARRY checks the expression is non-zero, and ASSERT_NOCARRY checks
+ that it's zero. In both cases if assertion checking is disabled the
+ expression is still evaluated. These macros are meant for use with
+ routines like mpn_add_n() where the return value represents a carry or
+ whatever that should or shouldn't occur in some context. For example,
+ ASSERT_NOCARRY (mpn_add_n (rp, s1p, s2p, size)); */
+#if WANT_ASSERT
+#define ASSERT_CARRY(expr) ASSERT_ALWAYS ((expr) != 0)
+#define ASSERT_NOCARRY(expr) ASSERT_ALWAYS ((expr) == 0)
+#else
+#define ASSERT_CARRY(expr) (expr)
+#define ASSERT_NOCARRY(expr) (expr)
+#endif
+
+
+/* ASSERT_CODE includes code when assertion checking is wanted. This is the
+ same as writing "#if WANT_ASSERT", but more compact. */
+#if WANT_ASSERT
+#define ASSERT_CODE(expr) expr
+#else
+#define ASSERT_CODE(expr)
+#endif
+
+
+/* Test that an mpq_t is in fully canonical form. This can be used as
+ protection on routines like mpq_equal which give wrong results on
+ non-canonical inputs. */
+#if WANT_ASSERT
+#define ASSERT_MPQ_CANONICAL(q) \
+ do { \
+ ASSERT (q->_mp_den._mp_size > 0); \
+ if (q->_mp_num._mp_size == 0) \
+ { \
+ /* zero should be 0/1 */ \
+ ASSERT (mpz_cmp_ui (mpq_denref(q), 1L) == 0); \
+ } \
+ else \
+ { \
+ /* no common factors */ \
+ mpz_t __g; \
+ mpz_init (__g); \
+ mpz_gcd (__g, mpq_numref(q), mpq_denref(q)); \
+ ASSERT (mpz_cmp_ui (__g, 1) == 0); \
+ mpz_clear (__g); \
+ } \
+ } while (0)
+#else
+#define ASSERT_MPQ_CANONICAL(q) do {} while (0)
+#endif
+
+/* Check that the nail parts are zero. */
+#define ASSERT_ALWAYS_LIMB(limb) \
+ do { \
+ mp_limb_t __nail = (limb) & GMP_NAIL_MASK; \
+ ASSERT_ALWAYS (__nail == 0); \
+ } while (0)
+#define ASSERT_ALWAYS_MPN(ptr, size) \
+ do { \
+ /* let whole loop go dead when no nails */ \
+ if (GMP_NAIL_BITS != 0) \
+ { \
+ mp_size_t __i; \
+ for (__i = 0; __i < (size); __i++) \
+ ASSERT_ALWAYS_LIMB ((ptr)[__i]); \
+ } \
+ } while (0)
+#if WANT_ASSERT
+#define ASSERT_LIMB(limb) ASSERT_ALWAYS_LIMB (limb)
+#define ASSERT_MPN(ptr, size) ASSERT_ALWAYS_MPN (ptr, size)
+#else
+#define ASSERT_LIMB(limb) do {} while (0)
+#define ASSERT_MPN(ptr, size) do {} while (0)
+#endif
+
+
+/* Assert that an mpn region {ptr,size} is zero, or non-zero.
+ size==0 is allowed, and in that case {ptr,size} considered to be zero. */
+#if WANT_ASSERT
+#define ASSERT_MPN_ZERO_P(ptr,size) \
+ do { \
+ mp_size_t __i; \
+ ASSERT ((size) >= 0); \
+ for (__i = 0; __i < (size); __i++) \
+ ASSERT ((ptr)[__i] == 0); \
+ } while (0)
+#define ASSERT_MPN_NONZERO_P(ptr,size) \
+ do { \
+ mp_size_t __i; \
+ int __nonzero = 0; \
+ ASSERT ((size) >= 0); \
+ for (__i = 0; __i < (size); __i++) \
+ if ((ptr)[__i] != 0) \
+ { \
+ __nonzero = 1; \
+ break; \
+ } \
+ ASSERT (__nonzero); \
+ } while (0)
+#else
+#define ASSERT_MPN_ZERO_P(ptr,size) do {} while (0)
+#define ASSERT_MPN_NONZERO_P(ptr,size) do {} while (0)
+#endif
+
+
+#if HAVE_NATIVE_mpn_com_n
+#define mpn_com_n __MPN(com_n)
+void mpn_com_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t));
+#else
+#define mpn_com_n(d,s,n) \
+ do { \
+ mp_ptr __d = (d); \
+ mp_srcptr __s = (s); \
+ mp_size_t __n = (n); \
+ ASSERT (__n >= 1); \
+ ASSERT (MPN_SAME_OR_SEPARATE_P (__d, __s, __n)); \
+ do \
+ *__d++ = (~ *__s++) & GMP_NUMB_MASK; \
+ while (--__n); \
+ } while (0)
+#endif
+
+#define MPN_LOGOPS_N_INLINE(d, s1, s2, n, operation) \
+ do { \
+ mp_ptr __d = (d); \
+ mp_srcptr __s1 = (s1); \
+ mp_srcptr __s2 = (s2); \
+ mp_size_t __n = (n); \
+ ASSERT (__n >= 1); \
+ ASSERT (MPN_SAME_OR_SEPARATE_P (__d, __s1, __n)); \
+ ASSERT (MPN_SAME_OR_SEPARATE_P (__d, __s2, __n)); \
+ do \
+ operation; \
+ while (--__n); \
+ } while (0)
+
+#if HAVE_NATIVE_mpn_and_n
+#define mpn_and_n __MPN(and_n)
+void mpn_and_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
+#else
+#define mpn_and_n(d, s1, s2, n) \
+ MPN_LOGOPS_N_INLINE (d, s1, s2, n, *__d++ = *__s1++ & *__s2++)
+#endif
+
+#if HAVE_NATIVE_mpn_andn_n
+#define mpn_andn_n __MPN(andn_n)
+void mpn_andn_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
+#else
+#define mpn_andn_n(d, s1, s2, n) \
+ MPN_LOGOPS_N_INLINE (d, s1, s2, n, *__d++ = *__s1++ & ~*__s2++)
+#endif
+
+#if HAVE_NATIVE_mpn_nand_n
+#define mpn_nand_n __MPN(nand_n)
+void mpn_nand_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
+#else
+#define mpn_nand_n(d, s1, s2, n) \
+ MPN_LOGOPS_N_INLINE (d, s1, s2, n, *__d++ = ~(*__s1++ & *__s2++) & GMP_NUMB_MASK)
+#endif
+
+#if HAVE_NATIVE_mpn_ior_n
+#define mpn_ior_n __MPN(ior_n)
+void mpn_ior_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
+#else
+#define mpn_ior_n(d, s1, s2, n) \
+ MPN_LOGOPS_N_INLINE (d, s1, s2, n, *__d++ = *__s1++ | *__s2++)
+#endif
+
+#if HAVE_NATIVE_mpn_iorn_n
+#define mpn_iorn_n __MPN(iorn_n)
+void mpn_iorn_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
+#else
+#define mpn_iorn_n(d, s1, s2, n) \
+ MPN_LOGOPS_N_INLINE (d, s1, s2, n, *__d++ = (*__s1++ | ~*__s2++) & GMP_NUMB_MASK)
+#endif
+
+#if HAVE_NATIVE_mpn_nior_n
+#define mpn_nior_n __MPN(nior_n)
+void mpn_nior_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
+#else
+#define mpn_nior_n(d, s1, s2, n) \
+ MPN_LOGOPS_N_INLINE (d, s1, s2, n, *__d++ = ~(*__s1++ | *__s2++) & GMP_NUMB_MASK)
+#endif
+
+#if HAVE_NATIVE_mpn_xor_n
+#define mpn_xor_n __MPN(xor_n)
+void mpn_xor_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
+#else
+#define mpn_xor_n(d, s1, s2, n) \
+ MPN_LOGOPS_N_INLINE (d, s1, s2, n, *__d++ = *__s1++ ^ *__s2++)
+#endif
+
+#if HAVE_NATIVE_mpn_xnor_n
+#define mpn_xnor_n __MPN(xnor_n)
+void mpn_xnor_n __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t));
+#else
+#define mpn_xnor_n(d, s1, s2, n) \
+ MPN_LOGOPS_N_INLINE (d, s1, s2, n, *__d++ = ~(*__s1++ ^ *__s2++) & GMP_NUMB_MASK)
+#endif
+
+
+/* ADDC_LIMB sets w=x+y and cout to 0 or 1 for a carry from that addition. */
+#if GMP_NAIL_BITS == 0
+#define ADDC_LIMB(cout, w, x, y) \
+ do { \
+ mp_limb_t __x = (x); \
+ mp_limb_t __y = (y); \
+ mp_limb_t __w = __x + __y; \
+ (w) = __w; \
+ (cout) = __w < __x; \
+ } while (0)
+#else
+#define ADDC_LIMB(cout, w, x, y) \
+ do { \
+ mp_limb_t __w; \
+ ASSERT_LIMB (x); \
+ ASSERT_LIMB (y); \
+ __w = (x) + (y); \
+ (w) = __w & GMP_NUMB_MASK; \
+ (cout) = __w >> GMP_NUMB_BITS; \
+ } while (0)
+#endif
+
+/* SUBC_LIMB sets w=x-y and cout to 0 or 1 for a borrow from that
+ subtract. */
+#if GMP_NAIL_BITS == 0
+#define SUBC_LIMB(cout, w, x, y) \
+ do { \
+ mp_limb_t __x = (x); \
+ mp_limb_t __y = (y); \
+ mp_limb_t __w = __x - __y; \
+ (w) = __w; \
+ (cout) = __w > __x; \
+ } while (0)
+#else
+#define SUBC_LIMB(cout, w, x, y) \
+ do { \
+ mp_limb_t __w = (x) - (y); \
+ (w) = __w & GMP_NUMB_MASK; \
+ (cout) = __w >> (GMP_LIMB_BITS-1); \
+ } while (0)
+#endif
+
+
+/* MPN_INCR_U does {ptr,size} += n, MPN_DECR_U does {ptr,size} -= n, both
+ expecting no carry (or borrow) from that.
+
+ The size parameter is only for the benefit of assertion checking. In a
+ normal build it's unused and the carry/borrow is just propagated as far
+ as it needs to go.
+
+ On random data, usually only one or two limbs of {ptr,size} get updated,
+ so there's no need for any sophisticated looping, just something compact
+ and sensible.
+
+ FIXME: Switch all code from mpn_{incr,decr}_u to MPN_{INCR,DECR}_U,
+ declaring their operand sizes, then remove the former. This is purely
+ for the benefit of assertion checking. */
+
+#if defined (__GNUC__) && HAVE_HOST_CPU_FAMILY_x86 && GMP_NAIL_BITS == 0 \
+ && BITS_PER_MP_LIMB == 32 && ! defined (NO_ASM) && ! WANT_ASSERT
+/* Better flags handling than the generic C gives on i386, saving a few
+ bytes of code and maybe a cycle or two. */
+
+#define MPN_IORD_U(ptr, incr, aors) \
+ do { \
+ mp_ptr __ptr_dummy; \
+ if (__builtin_constant_p (incr) && (incr) == 1) \
+ { \
+ __asm__ __volatile__ \
+ ("\n" ASM_L(top) ":\n" \
+ "\t" aors " $1, (%0)\n" \
+ "\tleal 4(%0),%0\n" \
+ "\tjc " ASM_L(top) \
+ : "=r" (__ptr_dummy) \
+ : "0" (ptr) \
+ : "memory"); \
+ } \
+ else \
+ { \
+ __asm__ __volatile__ \
+ ( aors " %2,(%0)\n" \
+ "\tjnc " ASM_L(done) "\n" \
+ ASM_L(top) ":\n" \
+ "\t" aors " $1,4(%0)\n" \
+ "\tleal 4(%0),%0\n" \
+ "\tjc " ASM_L(top) "\n" \
+ ASM_L(done) ":\n" \
+ : "=r" (__ptr_dummy) \
+ : "0" (ptr), \
+ "ri" (incr) \
+ : "memory"); \
+ } \
+ } while (0)
+
+#define MPN_INCR_U(ptr, size, incr) MPN_IORD_U (ptr, incr, "addl")
+#define MPN_DECR_U(ptr, size, incr) MPN_IORD_U (ptr, incr, "subl")
+#define mpn_incr_u(ptr, incr) MPN_INCR_U (ptr, 0, incr)
+#define mpn_decr_u(ptr, incr) MPN_DECR_U (ptr, 0, incr)
+#endif
+
+#if GMP_NAIL_BITS == 0
+#ifndef mpn_incr_u
+#define mpn_incr_u(p,incr) \
+ do { \
+ mp_limb_t __x; \
+ mp_ptr __p = (p); \
+ if (__builtin_constant_p (incr) && (incr) == 1) \
+ { \
+ while (++(*(__p++)) == 0) \
+ ; \
+ } \
+ else \
+ { \
+ __x = *__p + (incr); \
+ *__p = __x; \
+ if (__x < (incr)) \
+ while (++(*(++__p)) == 0) \
+ ; \
+ } \
+ } while (0)
+#endif
+#ifndef mpn_decr_u
+#define mpn_decr_u(p,incr) \
+ do { \
+ mp_limb_t __x; \
+ mp_ptr __p = (p); \
+ if (__builtin_constant_p (incr) && (incr) == 1) \
+ { \
+ while ((*(__p++))-- == 0) \
+ ; \
+ } \
+ else \
+ { \
+ __x = *__p; \
+ *__p = __x - (incr); \
+ if (__x < (incr)) \
+ while ((*(++__p))-- == 0) \
+ ; \
+ } \
+ } while (0)
+#endif
+#endif
+
+#if GMP_NAIL_BITS >= 1
+#ifndef mpn_incr_u
+#define mpn_incr_u(p,incr) \
+ do { \
+ mp_limb_t __x; \
+ mp_ptr __p = (p); \
+ if (__builtin_constant_p (incr) && (incr) == 1) \
+ { \
+ do \
+ { \
+ __x = (*__p + 1) & GMP_NUMB_MASK; \
+ *__p++ = __x; \
+ } \
+ while (__x == 0); \
+ } \
+ else \
+ { \
+ __x = (*__p + (incr)); \
+ *__p++ = __x & GMP_NUMB_MASK; \
+ if (__x >> GMP_NUMB_BITS != 0) \
+ { \
+ do \
+ { \
+ __x = (*__p + 1) & GMP_NUMB_MASK; \
+ *__p++ = __x; \
+ } \
+ while (__x == 0); \
+ } \
+ } \
+ } while (0)
+#endif
+#ifndef mpn_decr_u
+#define mpn_decr_u(p,incr) \
+ do { \
+ mp_limb_t __x; \
+ mp_ptr __p = (p); \
+ if (__builtin_constant_p (incr) && (incr) == 1) \
+ { \
+ do \
+ { \
+ __x = *__p; \
+ *__p++ = (__x - 1) & GMP_NUMB_MASK; \
+ } \
+ while (__x == 0); \
+ } \
+ else \
+ { \
+ __x = *__p - (incr); \
+ *__p++ = __x & GMP_NUMB_MASK; \
+ if (__x >> GMP_NUMB_BITS != 0) \
+ { \
+ do \
+ { \
+ __x = *__p; \
+ *__p++ = (__x - 1) & GMP_NUMB_MASK; \
+ } \
+ while (__x == 0); \
+ } \
+ } \
+ } while (0)
+#endif
+#endif
+
+#ifndef MPN_INCR_U
+#if WANT_ASSERT
+#define MPN_INCR_U(ptr, size, n) \
+ do { \
+ ASSERT ((size) >= 1); \
+ ASSERT_NOCARRY (mpn_add_1 (ptr, ptr, size, n)); \
+ } while (0)
+#else
+#define MPN_INCR_U(ptr, size, n) mpn_incr_u (ptr, n)
+#endif
+#endif
+
+#ifndef MPN_DECR_U
+#if WANT_ASSERT
+#define MPN_DECR_U(ptr, size, n) \
+ do { \
+ ASSERT ((size) >= 1); \
+ ASSERT_NOCARRY (mpn_sub_1 (ptr, ptr, size, n)); \
+ } while (0)
+#else
+#define MPN_DECR_U(ptr, size, n) mpn_decr_u (ptr, n)
+#endif
+#endif
+
+
+/* Structure for conversion between internal binary format and
+ strings in base 2..36. */
+struct bases
+{
+ /* Number of digits in the conversion base that always fits in an mp_limb_t.
+ For example, for base 10 on a machine where a mp_limb_t has 32 bits this
+ is 9, since 10**9 is the largest number that fits into a mp_limb_t. */
+ int chars_per_limb;
+
+ /* log(2)/log(conversion_base) */
+ double chars_per_bit_exactly;
+
+ /* base**chars_per_limb, i.e. the biggest number that fits a word, built by
+ factors of base. Exception: For 2, 4, 8, etc, big_base is log2(base),
+ i.e. the number of bits used to represent each digit in the base. */
+ mp_limb_t big_base;
+
+ /* A BITS_PER_MP_LIMB bit approximation to 1/big_base, represented as a
+ fixed-point number. Instead of dividing by big_base an application can
+ choose to multiply by big_base_inverted. */
+ mp_limb_t big_base_inverted;
+};
+
+#define mp_bases __MPN(bases)
+#define __mp_bases __MPN(bases)
+__GMP_DECLSPEC extern const struct bases mp_bases[257];
+
+
+/* For power of 2 bases this is exact. For other bases the result is either
+ exact or one too big.
+
+ To be exact always it'd be necessary to examine all the limbs of the
+ operand, since numbers like 100..000 and 99...999 generally differ only
+ in the lowest limb. It'd be possible to examine just a couple of high
+ limbs to increase the probability of being exact, but that doesn't seem
+ worth bothering with. */
+
+#define MPN_SIZEINBASE(result, ptr, size, base) \
+ do { \
+ int __lb_base, __cnt; \
+ size_t __totbits; \
+ \
+ ASSERT ((size) >= 0); \
+ ASSERT ((base) >= 2); \
+ ASSERT ((base) < numberof (mp_bases)); \
+ \
+ /* Special case for X == 0. */ \
+ if ((size) == 0) \
+ (result) = 1; \
+ else \
+ { \
+ /* Calculate the total number of significant bits of X. */ \
+ count_leading_zeros (__cnt, (ptr)[(size)-1]); \
+ __totbits = (size_t) (size) * GMP_NUMB_BITS - (__cnt - GMP_NAIL_BITS);\
+ \
+ if (POW2_P (base)) \
+ { \
+ __lb_base = mp_bases[base].big_base; \
+ (result) = (__totbits + __lb_base - 1) / __lb_base; \
+ } \
+ else \
+ (result) = (size_t) \
+ (__totbits * mp_bases[base].chars_per_bit_exactly) + 1; \
+ } \
+ } while (0)
+
+/* eliminate mp_bases lookups for base==16 */
+#define MPN_SIZEINBASE_16(result, ptr, size) \
+ do { \
+ int __cnt; \
+ mp_size_t __totbits; \
+ \
+ ASSERT ((size) >= 0); \
+ \
+ /* Special case for X == 0. */ \
+ if ((size) == 0) \
+ (result) = 1; \
+ else \
+ { \
+ /* Calculate the total number of significant bits of X. */ \
+ count_leading_zeros (__cnt, (ptr)[(size)-1]); \
+ __totbits = (size_t) (size) * GMP_NUMB_BITS - (__cnt - GMP_NAIL_BITS);\
+ (result) = (__totbits + 4 - 1) / 4; \
+ } \
+ } while (0)
+
+/* bit count to limb count, rounding up */
+#define BITS_TO_LIMBS(n) (((n) + (GMP_NUMB_BITS - 1)) / GMP_NUMB_BITS)
+
+/* MPN_SET_UI sets an mpn (ptr, cnt) to given ui. MPZ_FAKE_UI creates fake
+ mpz_t from ui. The zp argument must have room for LIMBS_PER_ULONG limbs
+ in both cases (LIMBS_PER_ULONG is also defined here.) */
+#if BITS_PER_ULONG <= GMP_NUMB_BITS /* need one limb per ulong */
+
+#define LIMBS_PER_ULONG 1
+#define MPN_SET_UI(zp, zn, u) \
+ (zp)[0] = (u); \
+ (zn) = ((zp)[0] != 0);
+#define MPZ_FAKE_UI(z, zp, u) \
+ (zp)[0] = (u); \
+ PTR (z) = (zp); \
+ SIZ (z) = ((zp)[0] != 0); \
+ ASSERT_CODE (ALLOC (z) = 1);
+
+#else /* need two limbs per ulong */
+
+#define LIMBS_PER_ULONG 2
+#define MPN_SET_UI(zp, zn, u) \
+ (zp)[0] = (u) & GMP_NUMB_MASK; \
+ (zp)[1] = (u) >> GMP_NUMB_BITS; \
+ (zn) = ((zp)[1] != 0 ? 2 : (zp)[0] != 0 ? 1 : 0);
+#define MPZ_FAKE_UI(z, zp, u) \
+ (zp)[0] = (u) & GMP_NUMB_MASK; \
+ (zp)[1] = (u) >> GMP_NUMB_BITS; \
+ SIZ (z) = ((zp)[1] != 0 ? 2 : (zp)[0] != 0 ? 1 : 0); \
+ PTR (z) = (zp); \
+ ASSERT_CODE (ALLOC (z) = 2);
+
+#endif
+
+
+#if HAVE_HOST_CPU_FAMILY_x86
+#define TARGET_REGISTER_STARVED 1
+#else
+#define TARGET_REGISTER_STARVED 0
+#endif
+
+
+/* LIMB_HIGHBIT_TO_MASK(n) examines the high bit of a limb value and turns 1
+ or 0 there into a limb 0xFF..FF or 0 respectively.
+
+ On most CPUs this is just an arithmetic right shift by GMP_LIMB_BITS-1,
+ but C99 doesn't guarantee signed right shifts are arithmetic, so we have
+ a little compile-time test and a fallback to a "? :" form. The latter is
+ necessary for instance on Cray vector systems.
+
+ Recent versions of gcc (eg. 3.3) will in fact optimize a "? :" like this
+ to an arithmetic right shift anyway, but it's good to get the desired
+ shift on past versions too (in particular since an important use of
+ LIMB_HIGHBIT_TO_MASK is in udiv_qrnnd_preinv). */
+
+#define LIMB_HIGHBIT_TO_MASK(n) \
+ (((mp_limb_signed_t) -1 >> 1) < 0 \
+ ? (mp_limb_signed_t) (n) >> (GMP_LIMB_BITS - 1) \
+ : (n) & GMP_LIMB_HIGHBIT ? MP_LIMB_T_MAX : CNST_LIMB(0))
+
+
+/* Use a library function for invert_limb, if available. */
+#define mpn_invert_limb __MPN(invert_limb)
+mp_limb_t mpn_invert_limb __GMP_PROTO ((mp_limb_t)) ATTRIBUTE_CONST;
+#if ! defined (invert_limb) && HAVE_NATIVE_mpn_invert_limb
+#define invert_limb(invxl,xl) \
+ do { \
+ (invxl) = mpn_invert_limb (xl); \
+ } while (0)
+#endif
+
+#ifndef invert_limb
+#define invert_limb(invxl,xl) \
+ do { \
+ mp_limb_t dummy; \
+ ASSERT ((xl) != 0); \
+ udiv_qrnnd (invxl, dummy, ~(xl), ~CNST_LIMB(0), xl); \
+ } while (0)
+#endif
+
+#ifndef udiv_qrnnd_preinv
+#define udiv_qrnnd_preinv udiv_qrnnd_preinv3
+#endif
+
+/* Divide the two-limb number in (NH,,NL) by D, with DI being the largest
+ limb not larger than (2**(2*BITS_PER_MP_LIMB))/D - (2**BITS_PER_MP_LIMB).
+ If this would yield overflow, DI should be the largest possible number
+ (i.e., only ones). For correct operation, the most significant bit of D
+ has to be set. Put the quotient in Q and the remainder in R. */
+#define udiv_qrnnd_preinv1(q, r, nh, nl, d, di) \
+ do { \
+ mp_limb_t _q, _ql, _r; \
+ mp_limb_t _xh, _xl; \
+ ASSERT ((d) != 0); \
+ umul_ppmm (_q, _ql, (nh), (di)); \
+ _q += (nh); /* Compensate, di is 2**GMP_LIMB_BITS too small */ \
+ umul_ppmm (_xh, _xl, _q, (d)); \
+ sub_ddmmss (_xh, _r, (nh), (nl), _xh, _xl); \
+ if (_xh != 0) \
+ { \
+ sub_ddmmss (_xh, _r, _xh, _r, 0, (d)); \
+ _q += 1; \
+ if (_xh != 0) \
+ { \
+ _r -= (d); \
+ _q += 1; \
+ } \
+ } \
+ if (_r >= (d)) \
+ { \
+ _r -= (d); \
+ _q += 1; \
+ } \
+ (r) = _r; \
+ (q) = _q; \
+ } while (0)
+
+/* Like udiv_qrnnd_preinv, but branch-free. */
+#define udiv_qrnnd_preinv2(q, r, nh, nl, d, di) \
+ do { \
+ mp_limb_t _n2, _n10, _nmask, _nadj, _q1; \
+ mp_limb_t _xh, _xl; \
+ _n2 = (nh); \
+ _n10 = (nl); \
+ _nmask = LIMB_HIGHBIT_TO_MASK (_n10); \
+ _nadj = _n10 + (_nmask & (d)); \
+ umul_ppmm (_xh, _xl, di, _n2 - _nmask); \
+ add_ssaaaa (_xh, _xl, _xh, _xl, _n2, _nadj); \
+ _q1 = ~_xh; \
+ umul_ppmm (_xh, _xl, _q1, d); \
+ add_ssaaaa (_xh, _xl, _xh, _xl, nh, nl); \
+ _xh -= (d); /* xh = 0 or -1 */ \
+ (r) = _xl + ((d) & _xh); \
+ (q) = _xh - _q1; \
+ } while (0)
+
+/* Like udiv_qrnnd_preinv2, but for for any value D. DNORM is D shifted left
+ so that its most significant bit is set. LGUP is ceil(log2(D)). */
+#define udiv_qrnnd_preinv2gen(q, r, nh, nl, d, di, dnorm, lgup) \
+ do { \
+ mp_limb_t _n2, _n10, _nmask, _nadj, _q1; \
+ mp_limb_t _xh, _xl; \
+ _n2 = ((nh) << (BITS_PER_MP_LIMB - (lgup))) + ((nl) >> 1 >> (l - 1));\
+ _n10 = (nl) << (BITS_PER_MP_LIMB - (lgup)); \
+ _nmask = LIMB_HIGHBIT_TO_MASK (_n10); \
+ _nadj = _n10 + (_nmask & (dnorm)); \
+ umul_ppmm (_xh, _xl, di, _n2 - _nmask); \
+ add_ssaaaa (_xh, _xl, _xh, _xl, _n2, _nadj); \
+ _q1 = ~_xh; \
+ umul_ppmm (_xh, _xl, _q1, d); \
+ add_ssaaaa (_xh, _xl, _xh, _xl, nh, nl); \
+ _xh -= (d); \
+ (r) = _xl + ((d) & _xh); \
+ (q) = _xh - _q1; \
+ } while (0)
+
+/* udiv_qrnnd_preinv3 -- Based on work by Niels Möller and Torbjörn Granlund.
+
+ We write things strangely below, to help gcc. A more straightforward
+ version:
+
+ _r = (nl) - _qh * (d);
+ _t = _r + (d);
+ if (_r >= _ql)
+ {
+ _qh--;
+ _r = _t;
+ }
+
+ For one operation shorter critical path, one may want to use this form:
+
+ _p = _qh * (d)
+ _s = (nl) + (d);
+ _r = (nl) - _p;
+ _t = _s - _p;
+ if (_r >= _ql)
+ {
+ _qh--;
+ _r = _t;
+ }
+*/
+#define udiv_qrnnd_preinv3(q, r, nh, nl, d, di) \
+ do { \
+ mp_limb_t _qh, _ql, _r; \
+ umul_ppmm (_qh, _ql, (nh), (di)); \
+ if (__builtin_constant_p (nl) && (nl) == 0) \
+ _qh += (nh) + 1; \
+ else \
+ add_ssaaaa (_qh, _ql, _qh, _ql, (nh) + 1, (nl)); \
+ _r = (nl) - _qh * (d); \
+ if (_r > _ql) /* both > and >= should be OK */ \
+ { \
+ _r += (d); \
+ _qh--; \
+ } \
+ if (UNLIKELY (_r >= (d))) \
+ { \
+ _r -= (d); \
+ _qh++; \
+ } \
+ (r) = _r; \
+ (q) = _qh; \
+ } while (0)
+
+/* Compute r = nh*B mod d, where di is the inverse of d. */
+#define udiv_rnd_preinv(r, nh, d, di) \
+ do { \
+ mp_limb_t _qh, _ql, _r; \
+ umul_ppmm (_qh, _ql, (nh), (di)); \
+ _qh += (nh) + 1; \
+ _r = - _qh * (d); \
+ if (_r > _ql) \
+ _r += (d); \
+ (r) = _r; \
+ } while (0)
+
+#ifndef mpn_preinv_divrem_1 /* if not done with cpuvec in a fat binary */
+#define mpn_preinv_divrem_1 __MPN(preinv_divrem_1)
+mp_limb_t mpn_preinv_divrem_1 __GMP_PROTO ((mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t, int));
+#endif
+
+
+/* USE_PREINV_DIVREM_1 is whether to use mpn_preinv_divrem_1, as opposed to
+ the plain mpn_divrem_1. Likewise USE_PREINV_MOD_1 chooses between
+ mpn_preinv_mod_1 and plain mpn_mod_1. The default for both is yes, since
+ the few CISC chips where preinv is not good have defines saying so. */
+#ifndef USE_PREINV_DIVREM_1
+#define USE_PREINV_DIVREM_1 1
+#endif
+#ifndef USE_PREINV_MOD_1
+#define USE_PREINV_MOD_1 1
+#endif
+
+#if USE_PREINV_DIVREM_1
+#define MPN_DIVREM_OR_PREINV_DIVREM_1(qp,xsize,ap,size,d,dinv,shift) \
+ mpn_preinv_divrem_1 (qp, xsize, ap, size, d, dinv, shift)
+#else
+#define MPN_DIVREM_OR_PREINV_DIVREM_1(qp,xsize,ap,size,d,dinv,shift) \
+ mpn_divrem_1 (qp, xsize, ap, size, d)
+#endif
+
+#if USE_PREINV_MOD_1
+#define MPN_MOD_OR_PREINV_MOD_1(src,size,divisor,inverse) \
+ mpn_preinv_mod_1 (src, size, divisor, inverse)
+#else
+#define MPN_MOD_OR_PREINV_MOD_1(src,size,divisor,inverse) \
+ mpn_mod_1 (src, size, divisor)
+#endif
+
+
+#ifndef mpn_mod_34lsub1 /* if not done with cpuvec in a fat binary */
+#define mpn_mod_34lsub1 __MPN(mod_34lsub1)
+mp_limb_t mpn_mod_34lsub1 __GMP_PROTO ((mp_srcptr, mp_size_t)) __GMP_ATTRIBUTE_PURE;
+#endif
+
+
+/* DIVEXACT_1_THRESHOLD is at what size to use mpn_divexact_1, as opposed to
+ plain mpn_divrem_1. Likewise MODEXACT_1_ODD_THRESHOLD for
+ mpn_modexact_1_odd against plain mpn_mod_1. On most CPUs divexact and
+ modexact are faster at all sizes, so the defaults are 0. Those CPUs
+ where this is not right have a tuned threshold. */
+#ifndef DIVEXACT_1_THRESHOLD
+#define DIVEXACT_1_THRESHOLD 0
+#endif
+#ifndef MODEXACT_1_ODD_THRESHOLD
+#define MODEXACT_1_ODD_THRESHOLD 0
+#endif
+
+#ifndef mpn_divexact_1 /* if not done with cpuvec in a fat binary */
+#define mpn_divexact_1 __MPN(divexact_1)
+void mpn_divexact_1 __GMP_PROTO ((mp_ptr, mp_srcptr, mp_size_t, mp_limb_t));
+#endif
+
+#define MPN_DIVREM_OR_DIVEXACT_1(dst, src, size, divisor) \
+ do { \
+ if (BELOW_THRESHOLD (size, DIVEXACT_1_THRESHOLD)) \
+ ASSERT_NOCARRY (mpn_divrem_1 (dst, (mp_size_t) 0, src, size, divisor)); \
+ else \
+ { \
+ ASSERT (mpn_mod_1 (src, size, divisor) == 0); \
+ mpn_divexact_1 (dst, src, size, divisor); \
+ } \
+ } while (0)
+
+#ifndef mpn_modexact_1c_odd /* if not done with cpuvec in a fat binary */
+#define mpn_modexact_1c_odd __MPN(modexact_1c_odd)
+mp_limb_t mpn_modexact_1c_odd __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t)) __GMP_ATTRIBUTE_PURE;
+#endif
+
+#if HAVE_NATIVE_mpn_modexact_1_odd
+#define mpn_modexact_1_odd __MPN(modexact_1_odd)
+mp_limb_t mpn_modexact_1_odd __GMP_PROTO ((mp_srcptr, mp_size_t, mp_limb_t)) __GMP_ATTRIBUTE_PURE;
+#else
+#define mpn_modexact_1_odd(src,size,divisor) \
+ mpn_modexact_1c_odd (src, size, divisor, CNST_LIMB(0))
+#endif
+
+#define MPN_MOD_OR_MODEXACT_1_ODD(src,size,divisor) \
+ (ABOVE_THRESHOLD (size, MODEXACT_1_ODD_THRESHOLD) \
+ ? mpn_modexact_1_odd (src, size, divisor) \
+ : mpn_mod_1 (src, size, divisor))
+
+
+/* binvert_limb() sets inv to the multiplicative inverse of n modulo
+ 2^GMP_NUMB_BITS, ie. satisfying inv*n == 1 mod 2^GMP_NUMB_BITS.
+ n must be odd (otherwise such an inverse doesn't exist).
+
+ This is not to be confused with invert_limb(), which is completely
+ different.
+
+ The table lookup gives an inverse with the low 8 bits valid, and each
+ multiply step doubles the number of bits. See Jebelean "An algorithm for
+ exact division" end of section 4 (reference in gmp.texi).
+
+ Possible enhancement: Could use UHWtype until the last step, if half-size
+ multiplies are faster (might help under _LONG_LONG_LIMB).
+
+ Alternative: As noted in Granlund and Montgomery "Division by Invariant
+ Integers using Multiplication" (reference in gmp.texi), n itself gives a
+ 3-bit inverse immediately, and could be used instead of a table lookup.
+ A 4-bit inverse can be obtained effectively from xoring bits 1 and 2 into
+ bit 3, for instance with (((n + 2) & 4) << 1) ^ n. */
+
+#define binvert_limb_table __gmp_binvert_limb_table
+__GMP_DECLSPEC extern const unsigned char binvert_limb_table[128];
+
+#define binvert_limb(inv,n) \
+ do { \
+ mp_limb_t __n = (n); \
+ mp_limb_t __inv; \
+ ASSERT ((__n & 1) == 1); \
+ \
+ __inv = binvert_limb_table[(__n/2) & 0x7F]; /* 8 */ \
+ if (GMP_NUMB_BITS > 8) __inv = 2 * __inv - __inv * __inv * __n; \
+ if (GMP_NUMB_BITS > 16) __inv = 2 * __inv - __inv * __inv * __n; \
+ if (GMP_NUMB_BITS > 32) __inv = 2 * __inv - __inv * __inv * __n; \
+ \
+ if (GMP_NUMB_BITS > 64) \
+ { \
+ int __invbits = 64; \
+ do { \
+ __inv = 2 * __inv - __inv * __inv * __n; \
+ __invbits *= 2; \
+ } while (__invbits < GMP_NUMB_BITS); \
+ } \
+ \
+ ASSERT ((__inv * __n & GMP_NUMB_MASK) == 1); \
+ (inv) = __inv & GMP_NUMB_MASK; \
+ } while (0)
+#define modlimb_invert binvert_limb /* backward compatibility */
+
+/* Multiplicative inverse of 3, modulo 2^GMP_NUMB_BITS.
+ Eg. 0xAAAAAAAB for 32 bits, 0xAAAAAAAAAAAAAAAB for 64 bits.
+ GMP_NUMB_MAX/3*2+1 is right when GMP_NUMB_BITS is even, but when it's odd
+ we need to start from GMP_NUMB_MAX>>1. */
+#define MODLIMB_INVERSE_3 (((GMP_NUMB_MAX >> (GMP_NUMB_BITS % 2)) / 3) * 2 + 1)
+
+/* ceil(GMP_NUMB_MAX/3) and ceil(2*GMP_NUMB_MAX/3).
+ These expressions work because GMP_NUMB_MAX%3 != 0 for all GMP_NUMB_BITS. */
+#define GMP_NUMB_CEIL_MAX_DIV3 (GMP_NUMB_MAX / 3 + 1)
+#define GMP_NUMB_CEIL_2MAX_DIV3 ((GMP_NUMB_MAX>>1) / 3 + 1 + GMP_NUMB_HIGHBIT)
+
+
+/* Set r to -a mod d. a>=d is allowed. Can give r>d. All should be limbs.
+
+ It's not clear whether this is the best way to do this calculation.
+ Anything congruent to -a would be fine for the one limb congruence
+ tests. */
+
+#define NEG_MOD(r, a, d) \
+ do { \
+ ASSERT ((d) != 0); \
+ ASSERT_LIMB (a); \
+ ASSERT_LIMB (d); \
+ \
+ if ((a) <= (d)) \
+ { \
+ /* small a is reasonably likely */ \
+ (r) = (d) - (a); \
+ } \
+ else \
+ { \
+ unsigned __twos; \
+ mp_limb_t __dnorm; \
+ count_leading_zeros (__twos, d); \
+ __twos -= GMP_NAIL_BITS; \
+ __dnorm = (d) << __twos; \
+ (r) = ((a) <= __dnorm ? __dnorm : 2*__dnorm) - (a); \
+ } \
+ \
+ ASSERT_LIMB (r); \
+ } while (0)
+
+/* A bit mask of all the least significant zero bits of n, or -1 if n==0. */
+#define LOW_ZEROS_MASK(n) (((n) & -(n)) - 1)
+
+
+/* ULONG_PARITY sets "p" to 1 if there's an odd number of 1 bits in "n", or
+ to 0 if there's an even number. "n" should be an unsigned long and "p"
+ an int. */
+
+#if defined (__GNUC__) && ! defined (NO_ASM) && HAVE_HOST_CPU_alpha_CIX
+#define ULONG_PARITY(p, n) \
+ do { \
+ int __p; \
+ __asm__ ("ctpop %1, %0" : "=r" (__p) : "r" (n)); \
+ (p) = __p & 1; \
+ } while (0)
+#endif
+
+/* Cray intrinsic _popcnt. */
+#ifdef _CRAY
+#define ULONG_PARITY(p, n) \
+ do { \
+ (p) = _popcnt (n) & 1; \
+ } while (0)
+#endif
+
+#if defined (__GNUC__) && ! defined (__INTEL_COMPILER) \
+ && ! defined (NO_ASM) && defined (__ia64)
+/* unsigned long is either 32 or 64 bits depending on the ABI, zero extend
+ to a 64 bit unsigned long long for popcnt */
+#define ULONG_PARITY(p, n) \
+ do { \
+ unsigned long long __n = (unsigned long) (n); \
+ int __p; \
+ __asm__ ("popcnt %0 = %1" : "=r" (__p) : "r" (__n)); \
+ (p) = __p & 1; \
+ } while (0)
+#endif
+
+#if defined (__GNUC__) && ! defined (__INTEL_COMPILER) \
+ && ! defined (NO_ASM) && HAVE_HOST_CPU_FAMILY_x86
+#if __GMP_GNUC_PREREQ (3,1)
+#define __GMP_qm "=Qm"
+#define __GMP_q "=Q"
+#else
+#define __GMP_qm "=qm"
+#define __GMP_q "=q"
+#endif
+#define ULONG_PARITY(p, n) \
+ do { \
+ char __p; \
+ unsigned long __n = (n); \
+ __n ^= (__n >> 16); \
+ __asm__ ("xorb %h1, %b1\n\t" \
+ "setpo %0" \
+ : __GMP_qm (__p), __GMP_q (__n) \
+ : "1" (__n)); \
+ (p) = __p; \
+ } while (0)
+#endif
+
+#if ! defined (ULONG_PARITY)
+#define ULONG_PARITY(p, n) \
+ do { \
+ unsigned long __n = (n); \
+ int __p = 0; \
+ do \
+ { \
+ __p ^= 0x96696996L >> (__n & 0x1F); \
+ __n >>= 5; \
+ } \
+ while (__n != 0); \
+ \
+ (p) = __p & 1; \
+ } while (0)
+#endif
+
+
+/* 3 cycles on 604 or 750 since shifts and rlwimi's can pair. gcc (as of
+ version 3.1 at least) doesn't seem to know how to generate rlwimi for
+ anything other than bit-fields, so use "asm". */
+#if defined (__GNUC__) && ! defined (NO_ASM) \
+ && HAVE_HOST_CPU_FAMILY_powerpc && BITS_PER_MP_LIMB == 32
+#define BSWAP_LIMB(dst, src) \
+ do { \
+ mp_limb_t __bswapl_src = (src); \
+ mp_limb_t __tmp1 = __bswapl_src >> 24; /* low byte */ \
+ mp_limb_t __tmp2 = __bswapl_src << 24; /* high byte */ \
+ __asm__ ("rlwimi %0, %2, 24, 16, 23" /* 2nd low */ \
+ : "=r" (__tmp1) : "0" (__tmp1), "r" (__bswapl_src)); \
+ __asm__ ("rlwimi %0, %2, 8, 8, 15" /* 3nd high */ \
+ : "=r" (__tmp2) : "0" (__tmp2), "r" (__bswapl_src)); \
+ (dst) = __tmp1 | __tmp2; /* whole */ \
+ } while (0)
+#endif
+
+/* bswap is available on i486 and up and is fast. A combination rorw $8 /
+ roll $16 / rorw $8 is used in glibc for plain i386 (and in the linux
+ kernel with xchgb instead of rorw), but this is not done here, because
+ i386 means generic x86 and mixing word and dword operations will cause
+ partial register stalls on P6 chips. */
+#if defined (__GNUC__) && ! defined (NO_ASM) \
+ && HAVE_HOST_CPU_FAMILY_x86 && ! HAVE_HOST_CPU_i386 \
+ && BITS_PER_MP_LIMB == 32
+#define BSWAP_LIMB(dst, src) \
+ do { \
+ __asm__ ("bswap %0" : "=r" (dst) : "0" (src)); \
+ } while (0)
+#endif
+
+#if defined (__GNUC__) && ! defined (NO_ASM) \
+ && defined (__amd64__) && BITS_PER_MP_LIMB == 64
+#define BSWAP_LIMB(dst, src) \
+ do { \
+ __asm__ ("bswap %q0" : "=r" (dst) : "0" (src)); \
+ } while (0)
+#endif
+
+#if defined (__GNUC__) && ! defined (__INTEL_COMPILER) \
+ && ! defined (NO_ASM) && defined (__ia64) && GMP_LIMB_BITS == 64
+#define BSWAP_LIMB(dst, src) \
+ do { \
+ __asm__ ("mux1 %0 = %1, @rev" : "=r" (dst) : "r" (src)); \
+ } while (0)
+#endif
+
+/* As per glibc. */
+#if defined (__GNUC__) && ! defined (NO_ASM) \
+ && HAVE_HOST_CPU_FAMILY_m68k && BITS_PER_MP_LIMB == 32
+#define BSWAP_LIMB(dst, src) \
+ do { \
+ mp_limb_t __bswapl_src = (src); \
+ __asm__ ("ror%.w %#8, %0\n\t" \
+ "swap %0\n\t" \
+ "ror%.w %#8, %0" \
+ : "=d" (dst) \
+ : "0" (__bswapl_src)); \
+ } while (0)
+#endif
+
+#if ! defined (BSWAP_LIMB)
+#if BITS_PER_MP_LIMB == 8
+#define BSWAP_LIMB(dst, src) \
+ do { (dst) = (src); } while (0)
+#endif
+#if BITS_PER_MP_LIMB == 16
+#define BSWAP_LIMB(dst, src) \
+ do { \
+ (dst) = ((src) << 8) + ((src) >> 8); \
+ } while (0)
+#endif
+#if BITS_PER_MP_LIMB == 32
+#define BSWAP_LIMB(dst, src) \
+ do { \
+ (dst) = \
+ ((src) << 24) \
+ + (((src) & 0xFF00) << 8) \
+ + (((src) >> 8) & 0xFF00) \
+ + ((src) >> 24); \
+ } while (0)
+#endif
+#if BITS_PER_MP_LIMB == 64
+#define BSWAP_LIMB(dst, src) \
+ do { \
+ (dst) = \
+ ((src) << 56) \
+ + (((src) & 0xFF00) << 40) \
+ + (((src) & 0xFF0000) << 24) \
+ + (((src) & 0xFF000000) << 8) \
+ + (((src) >> 8) & 0xFF000000) \
+ + (((src) >> 24) & 0xFF0000) \
+ + (((src) >> 40) & 0xFF00) \
+ + ((src) >> 56); \
+ } while (0)
+#endif
+#endif
+
+#if ! defined (BSWAP_LIMB)
+#define BSWAP_LIMB(dst, src) \
+ do { \
+ mp_limb_t __bswapl_src = (src); \
+ mp_limb_t __dst = 0; \
+ int __i; \
+ for (__i = 0; __i < BYTES_PER_MP_LIMB; __i++) \
+ { \
+ __dst = (__dst << 8) | (__bswapl_src & 0xFF); \
+ __bswapl_src >>= 8; \
+ } \
+ (dst) = __dst; \
+ } while (0)
+#endif
+
+
+/* Apparently lwbrx might be slow on some PowerPC chips, so restrict it to
+ those we know are fast. */
+#if defined (__GNUC__) && ! defined (NO_ASM) \
+ && BITS_PER_MP_LIMB == 32 && HAVE_LIMB_BIG_ENDIAN \
+ && (HAVE_HOST_CPU_powerpc604 \
+ || HAVE_HOST_CPU_powerpc604e \
+ || HAVE_HOST_CPU_powerpc750 \
+ || HAVE_HOST_CPU_powerpc7400)
+#define BSWAP_LIMB_FETCH(limb, src) \
+ do { \
+ mp_srcptr __blf_src = (src); \
+ mp_limb_t __limb; \
+ __asm__ ("lwbrx %0, 0, %1" \
+ : "=r" (__limb) \
+ : "r" (__blf_src), \
+ "m" (*__blf_src)); \
+ (limb) = __limb; \
+ } while (0)
+#endif
+
+#if ! defined (BSWAP_LIMB_FETCH)
+#define BSWAP_LIMB_FETCH(limb, src) BSWAP_LIMB (limb, *(src))
+#endif
+
+
+/* On the same basis that lwbrx might be slow, restrict stwbrx to those we
+ know are fast. FIXME: Is this necessary? */
+#if defined (__GNUC__) && ! defined (NO_ASM) \
+ && BITS_PER_MP_LIMB == 32 && HAVE_LIMB_BIG_ENDIAN \
+ && (HAVE_HOST_CPU_powerpc604 \
+ || HAVE_HOST_CPU_powerpc604e \
+ || HAVE_HOST_CPU_powerpc750 \
+ || HAVE_HOST_CPU_powerpc7400)
+#define BSWAP_LIMB_STORE(dst, limb) \
+ do { \
+ mp_ptr __dst = (dst); \
+ mp_limb_t __limb = (limb); \
+ __asm__ ("stwbrx %1, 0, %2" \
+ : "=m" (*__dst) \
+ : "r" (__limb), \
+ "r" (__dst)); \
+ } while (0)
+#endif
+
+#if ! defined (BSWAP_LIMB_STORE)
+#define BSWAP_LIMB_STORE(dst, limb) BSWAP_LIMB (*(dst), limb)
+#endif
+
+
+/* Byte swap limbs from {src,size} and store at {dst,size}. */
+#define MPN_BSWAP(dst, src, size) \
+ do { \
+ mp_ptr __dst = (dst); \
+ mp_srcptr __src = (src); \
+ mp_size_t __size = (size); \
+ mp_size_t __i; \
+ ASSERT ((size) >= 0); \
+ ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); \
+ CRAY_Pragma ("_CRI ivdep"); \
+ for (__i = 0; __i < __size; __i++) \
+ { \
+ BSWAP_LIMB_FETCH (*__dst, __src); \
+ __dst++; \
+ __src++; \
+ } \
+ } while (0)
+
+/* Byte swap limbs from {dst,size} and store in reverse order at {src,size}. */
+#define MPN_BSWAP_REVERSE(dst, src, size) \
+ do { \
+ mp_ptr __dst = (dst); \
+ mp_size_t __size = (size); \
+ mp_srcptr __src = (src) + __size - 1; \
+ mp_size_t __i; \
+ ASSERT ((size) >= 0); \
+ ASSERT (! MPN_OVERLAP_P (dst, size, src, size)); \
+ CRAY_Pragma ("_CRI ivdep"); \
+ for (__i = 0; __i < __size; __i++) \
+ { \
+ BSWAP_LIMB_FETCH (*__dst, __src); \
+ __dst++; \
+ __src--; \
+ } \
+ } while (0)
+
+
+/* No processor claiming to be SPARC v9 compliant seems to
+ implement the POPC instruction. Disable pattern for now. */
+#if 0
+#if defined __GNUC__ && defined __sparc_v9__ && BITS_PER_MP_LIMB == 64
+#define popc_limb(result, input) \
+ do { \
+ DItype __res; \
+ __asm__ ("popc %1,%0" : "=r" (result) : "rI" (input)); \
+ } while (0)
+#endif
+#endif
+
+#if defined (__GNUC__) && ! defined (NO_ASM) && HAVE_HOST_CPU_alpha_CIX
+#define popc_limb(result, input) \
+ do { \
+ __asm__ ("ctpop %1, %0" : "=r" (result) : "r" (input)); \
+ } while (0)
+#endif
+
+/* Cray intrinsic. */
+#ifdef _CRAY
+#define popc_limb(result, input) \
+ do { \
+ (result) = _popcnt (input); \
+ } while (0)
+#endif
+
+#if defined (__GNUC__) && ! defined (__INTEL_COMPILER) \
+ && ! defined (NO_ASM) && defined (__ia64) && GMP_LIMB_BITS == 64
+#define popc_limb(result, input) \
+ do { \
+ __asm__ ("popcnt %0 = %1" : "=r" (result) : "r" (input)); \
+ } while (0)
+#endif
+
+/* Cool population count of an mp_limb_t.
+ You have to figure out how this works, We won't tell you!
+
+ The constants could also be expressed as:
+ 0x55... = [2^N / 3] = [(2^N-1)/3]
+ 0x33... = [2^N / 5] = [(2^N-1)/5]
+ 0x0f... = [2^N / 17] = [(2^N-1)/17]
+ (N is GMP_LIMB_BITS, [] denotes truncation.) */
+
+#if ! defined (popc_limb) && GMP_LIMB_BITS == 8
+#define popc_limb(result, input) \
+ do { \
+ mp_limb_t __x = (input); \
+ __x -= (__x >> 1) & MP_LIMB_T_MAX/3; \
+ __x = ((__x >> 2) & MP_LIMB_T_MAX/5) + (__x & MP_LIMB_T_MAX/5); \
+ __x = ((__x >> 4) + __x) & MP_LIMB_T_MAX/17; \
+ (result) = __x & 0xff; \
+ } while (0)
+#endif
+
+#if ! defined (popc_limb) && GMP_LIMB_BITS == 16
+#define popc_limb(result, input) \
+ do { \
+ mp_limb_t __x = (input); \
+ __x -= (__x >> 1) & MP_LIMB_T_MAX/3; \
+ __x = ((__x >> 2) & MP_LIMB_T_MAX/5) + (__x & MP_LIMB_T_MAX/5); \
+ __x = ((__x >> 4) + __x) & MP_LIMB_T_MAX/17; \
+ __x = ((__x >> 8) + __x); \
+ (result) = __x & 0xff; \
+ } while (0)
+#endif
+
+#if ! defined (popc_limb) && GMP_LIMB_BITS == 32
+#define popc_limb(result, input) \
+ do { \
+ mp_limb_t __x = (input); \
+ __x -= (__x >> 1) & MP_LIMB_T_MAX/3; \
+ __x = ((__x >> 2) & MP_LIMB_T_MAX/5) + (__x & MP_LIMB_T_MAX/5); \
+ __x = ((__x >> 4) + __x) & MP_LIMB_T_MAX/17; \
+ __x = ((__x >> 8) + __x); \
+ __x = ((__x >> 16) + __x); \
+ (result) = __x & 0xff; \
+ } while (0)
+#endif
+
+#if ! defined (popc_limb) && GMP_LIMB_BITS == 64
+#define popc_limb(result, input) \
+ do { \
+ mp_limb_t __x = (input); \
+ __x -= (__x >> 1) & MP_LIMB_T_MAX/3; \
+ __x = ((__x >> 2) & MP_LIMB_T_MAX/5) + (__x & MP_LIMB_T_MAX/5); \
+ __x = ((__x >> 4) + __x) & MP_LIMB_T_MAX/17; \
+ __x = ((__x >> 8) + __x); \
+ __x = ((__x >> 16) + __x); \
+ __x = ((__x >> 32) + __x); \
+ (result) = __x & 0xff; \
+ } while (0)
+#endif
+
+
+/* Define stuff for longlong.h. */
+#if HAVE_ATTRIBUTE_MODE
+typedef unsigned int UQItype __attribute__ ((mode (QI)));
+typedef int SItype __attribute__ ((mode (SI)));
+typedef unsigned int USItype __attribute__ ((mode (SI)));
+typedef int DItype __attribute__ ((mode (DI)));
+typedef unsigned int UDItype __attribute__ ((mode (DI)));
+#else
+typedef unsigned char UQItype;
+typedef long SItype;
+typedef unsigned long USItype;
+#if HAVE_LONG_LONG
+typedef long long int DItype;
+typedef unsigned long long int UDItype;
+#else /* Assume `long' gives us a wide enough type. Needed for hppa2.0w. */
+typedef long int DItype;
+typedef unsigned long int UDItype;
+#endif
+#endif
+
+typedef mp_limb_t UWtype;
+typedef unsigned int UHWtype;
+#define W_TYPE_SIZE BITS_PER_MP_LIMB
+
+/* Define ieee_double_extract and _GMP_IEEE_FLOATS.
+
+ Bit field packing is "implementation defined" according to C99, which
+ leaves us at the compiler's mercy here. For some systems packing is
+ defined in the ABI (eg. x86). In any case so far it seems universal that
+ little endian systems pack from low to high, and big endian from high to
+ low within the given type.
+
+ Within the fields we rely on the integer endianness being the same as the
+ float endianness, this is true everywhere we know of and it'd be a fairly
+ strange system that did anything else. */
+
+#if HAVE_DOUBLE_IEEE_LITTLE_SWAPPED
+#define _GMP_IEEE_FLOATS 1
+union ieee_double_extract
+{
+ struct
+ {
+ gmp_uint_least32_t manh:20;
+ gmp_uint_least32_t exp:11;
+ gmp_uint_least32_t sig:1;
+ gmp_uint_least32_t manl:32;
+ } s;
+ double d;
+};
+#endif
+
+#if HAVE_DOUBLE_IEEE_LITTLE_ENDIAN
+#define _GMP_IEEE_FLOATS 1
+union ieee_double_extract
+{
+ struct
+ {
+ gmp_uint_least32_t manl:32;
+ gmp_uint_least32_t manh:20;
+ gmp_uint_least32_t exp:11;
+ gmp_uint_least32_t sig:1;
+ } s;
+ double d;
+};
+#endif
+
+#if HAVE_DOUBLE_IEEE_BIG_ENDIAN
+#define _GMP_IEEE_FLOATS 1
+union ieee_double_extract
+{
+ struct
+ {
+ gmp_uint_least32_t sig:1;
+ gmp_uint_least32_t exp:11;
+ gmp_uint_least32_t manh:20;
+ gmp_uint_least32_t manl:32;
+ } s;
+ double d;
+};
+#endif
+
+
+/* Use (4.0 * ...) instead of (2.0 * ...) to work around buggy compilers
+ that don't convert ulong->double correctly (eg. SunOS 4 native cc). */
+#define MP_BASE_AS_DOUBLE (4.0 * ((mp_limb_t) 1 << (GMP_NUMB_BITS - 2)))
+/* Maximum number of limbs it will take to store any `double'.
+ We assume doubles have 53 mantissa bits. */
+#define LIMBS_PER_DOUBLE ((53 + GMP_NUMB_BITS - 2) / GMP_NUMB_BITS + 1)
+
+int __gmp_extract_double __GMP_PROTO ((mp_ptr, double));
+
+#define mpn_get_d __gmpn_get_d
+double mpn_get_d __GMP_PROTO ((mp_srcptr, mp_size_t, mp_size_t, long)) __GMP_ATTRIBUTE_PURE;
+
+
+/* DOUBLE_NAN_INF_ACTION executes code a_nan if x is a NaN, or executes
+ a_inf if x is an infinity. Both are considered unlikely values, for
+ branch prediction. */
+
+#if _GMP_IEEE_FLOATS
+#define DOUBLE_NAN_INF_ACTION(x, a_nan, a_inf) \
+ do { \
+ union ieee_double_extract u; \
+ u.d = (x); \
+ if (UNLIKELY (u.s.exp == 0x7FF)) \
+ { \
+ if (u.s.manl == 0 && u.s.manh == 0) \
+ { a_inf; } \
+ else \
+ { a_nan; } \
+ } \
+ } while (0)
+#endif
+
+#if HAVE_DOUBLE_VAX_D || HAVE_DOUBLE_VAX_G || HAVE_DOUBLE_CRAY_CFP
+/* no nans or infs in these formats */
+#define DOUBLE_NAN_INF_ACTION(x, a_nan, a_inf) \
+ do { } while (0)
+#endif
+
+#ifndef DOUBLE_NAN_INF_ACTION
+/* Unknown format, try something generic.
+ NaN should be "unordered", so x!=x.
+ Inf should be bigger than DBL_MAX. */
+#define DOUBLE_NAN_INF_ACTION(x, a_nan, a_inf) \
+ do { \
+ { \
+ if (UNLIKELY ((x) != (x))) \
+ { a_nan; } \
+ else if (UNLIKELY ((x) > DBL_MAX || (x) < -DBL_MAX)) \
+ { a_inf; } \
+ } \
+ } while (0)
+#endif
+
+/* On m68k, x86 and amd64, gcc (and maybe other compilers) can hold doubles
+ in the coprocessor, which means a bigger exponent range than normal, and
+ depending on the rounding mode, a bigger mantissa than normal. (See
+ "Disappointments" in the gcc manual.) FORCE_DOUBLE stores and fetches
+ "d" through memory to force any rounding and overflows to occur.
+
+ On amd64, and on x86s with SSE2, gcc (depending on options) uses the xmm
+ registers, where there's no such extra precision and no need for the
+ FORCE_DOUBLE. We don't bother to detect this since the present uses for
+ FORCE_DOUBLE are only in test programs and default generic C code.
+
+ Not quite sure that an "automatic volatile" will use memory, but it does
+ in gcc. An asm("":"=m"(d):"0"(d)) can't be used to trick gcc, since
+ apparently matching operands like "0" are only allowed on a register
+ output. gcc 3.4 warns about this, though in fact it and past versions
+ seem to put the operand through memory as hoped. */
+
+#if (HAVE_HOST_CPU_FAMILY_m68k || HAVE_HOST_CPU_FAMILY_x86 \
+ || defined (__amd64__))
+#define FORCE_DOUBLE(d) \
+ do { volatile double __gmp_force = (d); (d) = __gmp_force; } while (0)
+#else
+#define FORCE_DOUBLE(d) do { } while (0)
+#endif
+
+
+extern int __gmp_junk;
+extern const int __gmp_0;
+void __gmp_exception __GMP_PROTO ((int)) ATTRIBUTE_NORETURN;
+void __gmp_divide_by_zero __GMP_PROTO ((void)) ATTRIBUTE_NORETURN;
+void __gmp_sqrt_of_negative __GMP_PROTO ((void)) ATTRIBUTE_NORETURN;
+void __gmp_invalid_operation __GMP_PROTO ((void)) ATTRIBUTE_NORETURN;
+#define GMP_ERROR(code) __gmp_exception (code)
+#define DIVIDE_BY_ZERO __gmp_divide_by_zero ()
+#define SQRT_OF_NEGATIVE __gmp_sqrt_of_negative ()
+
+#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 */
+
+/* Stuff used by mpn/generic/perfsqr.c and mpz/prime_p.c */
+#if GMP_NUMB_BITS == 2
+#define PP 0x3 /* 3 */
+#define PP_FIRST_OMITTED 5
+#endif
+#if GMP_NUMB_BITS == 4
+#define PP 0xF /* 3 x 5 */
+#define PP_FIRST_OMITTED 7
+#endif
+#if GMP_NUMB_BITS == 8
+#define PP 0x69 /* 3 x 5 x 7 */
+#define PP_FIRST_OMITTED 11
+#endif
+#if GMP_NUMB_BITS == 16
+#define PP 0x3AA7 /* 3 x 5 x 7 x 11 x 13 */
+#define PP_FIRST_OMITTED 17
+#endif
+#if GMP_NUMB_BITS == 32
+#define PP 0xC0CFD797L /* 3 x 5 x 7 x 11 x ... x 29 */
+#define PP_INVERTED 0x53E5645CL
+#define PP_FIRST_OMITTED 31
+#endif
+#if GMP_NUMB_BITS == 64
+#define PP CNST_LIMB(0xE221F97C30E94E1D) /* 3 x 5 x 7 x 11 x ... x 53 */
+#define PP_INVERTED CNST_LIMB(0x21CFE6CFC938B36B)
+#define PP_FIRST_OMITTED 59
+#endif
+#ifndef PP_FIRST_OMITTED
+#define PP_FIRST_OMITTED 3
+#endif
+
+
+
+/* BIT1 means a result value in bit 1 (second least significant bit), with a
+ zero bit representing +1 and a one bit representing -1. Bits other than
+ bit 1 are garbage. These are meant to be kept in "int"s, and casts are
+ used to ensure the expressions are "int"s even if a and/or b might be
+ other types.
+
+ JACOBI_TWOS_U_BIT1 and JACOBI_RECIP_UU_BIT1 are used in mpn_jacobi_base
+ and their speed is important. Expressions are used rather than
+ conditionals to accumulate sign changes, which effectively means XORs
+ instead of conditional JUMPs. */
+
+/* (a/0), with a signed; is 1 if a=+/-1, 0 otherwise */
+#define JACOBI_S0(a) (((a) == 1) | ((a) == -1))
+
+/* (a/0), with a unsigned; is 1 if a=+/-1, 0 otherwise */
+#define JACOBI_U0(a) ((a) == 1)
+
+/* (a/0), with a given by low and size;
+ is 1 if a=+/-1, 0 otherwise */
+#define JACOBI_LS0(alow,asize) \
+ (((asize) == 1 || (asize) == -1) && (alow) == 1)
+
+/* (a/0), with a an mpz_t;
+ fetch of low limb always valid, even if size is zero */
+#define JACOBI_Z0(a) JACOBI_LS0 (PTR(a)[0], SIZ(a))
+
+/* (0/b), with b unsigned; is 1 if b=1, 0 otherwise */
+#define JACOBI_0U(b) ((b) == 1)
+
+/* (0/b), with b unsigned; is 1 if b=+/-1, 0 otherwise */
+#define JACOBI_0S(b) ((b) == 1 || (b) == -1)
+
+/* (0/b), with b given by low and size; is 1 if b=+/-1, 0 otherwise */
+#define JACOBI_0LS(blow,bsize) \
+ (((bsize) == 1 || (bsize) == -1) && (blow) == 1)
+
+/* Convert a bit1 to +1 or -1. */
+#define JACOBI_BIT1_TO_PN(result_bit1) \
+ (1 - ((int) (result_bit1) & 2))
+
+/* (2/b), with b unsigned and odd;
+ is (-1)^((b^2-1)/8) which is 1 if b==1,7mod8 or -1 if b==3,5mod8 and
+ hence obtained from (b>>1)^b */
+#define JACOBI_TWO_U_BIT1(b) \
+ ((int) (((b) >> 1) ^ (b)))
+
+/* (2/b)^twos, with b unsigned and odd */
+#define JACOBI_TWOS_U_BIT1(twos, b) \
+ ((int) ((twos) << 1) & JACOBI_TWO_U_BIT1 (b))
+
+/* (2/b)^twos, with b unsigned and odd */
+#define JACOBI_TWOS_U(twos, b) \
+ (JACOBI_BIT1_TO_PN (JACOBI_TWOS_U_BIT1 (twos, b)))
+
+/* (-1/b), with b odd (signed or unsigned);
+ is (-1)^((b-1)/2) */
+#define JACOBI_N1B_BIT1(b) \
+ ((int) (b))
+
+/* (a/b) effect due to sign of a: signed/unsigned, b odd;
+ is (-1/b) if a<0, or +1 if a>=0 */
+#define JACOBI_ASGN_SU_BIT1(a, b) \
+ ((((a) < 0) << 1) & JACOBI_N1B_BIT1(b))
+
+/* (a/b) effect due to sign of b: signed/signed;
+ is -1 if a and b both negative, +1 otherwise */
+#define JACOBI_BSGN_SS_BIT1(a, b) \
+ ((((a)<0) & ((b)<0)) << 1)
+
+/* (a/b) effect due to sign of b: signed/mpz;
+ is -1 if a and b both negative, +1 otherwise */
+#define JACOBI_BSGN_SZ_BIT1(a, b) \
+ JACOBI_BSGN_SS_BIT1 (a, SIZ(b))
+
+/* (a/b) effect due to sign of b: mpz/signed;
+ is -1 if a and b both negative, +1 otherwise */
+#define JACOBI_BSGN_ZS_BIT1(a, b) \
+ JACOBI_BSGN_SZ_BIT1 (b, a)
+
+/* (a/b) reciprocity to switch to (b/a), a,b both unsigned and odd;
+ is (-1)^((a-1)*(b-1)/4), which means +1 if either a,b==1mod4, or -1 if
+ both a,b==3mod4, achieved in bit 1 by a&b. No ASSERT()s about a,b odd
+ because this is used in a couple of places with only bit 1 of a or b
+ valid. */
+#define JACOBI_RECIP_UU_BIT1(a, b) \
+ ((int) ((a) & (b)))
+
+/* Strip low zero limbs from {b_ptr,b_size} by incrementing b_ptr and
+ decrementing b_size. b_low should be b_ptr[0] on entry, and will be
+ updated for the new b_ptr. result_bit1 is updated according to the
+ factors of 2 stripped, as per (a/2). */
+#define JACOBI_STRIP_LOW_ZEROS(result_bit1, a, b_ptr, b_size, b_low) \
+ do { \
+ ASSERT ((b_size) >= 1); \
+ ASSERT ((b_low) == (b_ptr)[0]); \
+ \
+ while (UNLIKELY ((b_low) == 0)) \
+ { \
+ (b_size)--; \
+ ASSERT ((b_size) >= 1); \
+ (b_ptr)++; \
+ (b_low) = *(b_ptr); \
+ \
+ ASSERT (((a) & 1) != 0); \
+ if ((GMP_NUMB_BITS % 2) == 1) \
+ (result_bit1) ^= JACOBI_TWO_U_BIT1(a); \
+ } \
+ } while (0)
+
+/* Set a_rem to {a_ptr,a_size} reduced modulo b, either using mod_1 or
+ modexact_1_odd, but in either case leaving a_rem<b. b must be odd and
+ unsigned. modexact_1_odd effectively calculates -a mod b, and
+ result_bit1 is adjusted for the factor of -1.
+
+ The way mpn_modexact_1_odd sometimes bases its remainder on a_size and
+ sometimes on a_size-1 means if GMP_NUMB_BITS is odd we can't know what
+ factor to introduce into result_bit1, so for that case use mpn_mod_1
+ unconditionally.
+
+ FIXME: mpn_modexact_1_odd is more efficient, so some way to get it used
+ for odd GMP_NUMB_BITS would be good. Perhaps it could mung its result,
+ or not skip a divide step, or something. */
+
+#define JACOBI_MOD_OR_MODEXACT_1_ODD(result_bit1, a_rem, a_ptr, a_size, b) \
+ do { \
+ mp_srcptr __a_ptr = (a_ptr); \
+ mp_size_t __a_size = (a_size); \
+ mp_limb_t __b = (b); \
+ \
+ ASSERT (__a_size >= 1); \
+ ASSERT (__b & 1); \
+ \
+ if ((GMP_NUMB_BITS % 2) != 0 \
+ || BELOW_THRESHOLD (__a_size, MODEXACT_1_ODD_THRESHOLD)) \
+ { \
+ (a_rem) = mpn_mod_1 (__a_ptr, __a_size, __b); \
+ } \
+ else \
+ { \
+ (result_bit1) ^= JACOBI_N1B_BIT1 (__b); \
+ (a_rem) = mpn_modexact_1_odd (__a_ptr, __a_size, __b); \
+ } \
+ } while (0)
+
+/* Matrix multiplication */
+#define mpn_matrix22_mul __MPN(matrix22_mul)
+void mpn_matrix22_mul __GMP_PROTO ((mp_ptr, mp_ptr, mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_srcptr, mp_srcptr, mp_srcptr, mp_size_t, mp_ptr));
+#define mpn_matrix22_mul_strassen __MPN(matrix22_mul_strassen)
+void mpn_matrix22_mul_strassen __GMP_PROTO ((mp_ptr, mp_ptr, mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_srcptr, mp_srcptr, mp_srcptr, mp_size_t, mp_ptr));
+#define mpn_matrix22_mul_itch __MPN(matrix22_mul_itch)
+mp_size_t mpn_matrix22_mul_itch __GMP_PROTO ((mp_size_t, mp_size_t));
+
+#ifndef MATRIX22_STRASSEN_THRESHOLD
+#define MATRIX22_STRASSEN_THRESHOLD 30
+#endif
+
+/* HGCD definitions */
+
+/* Extract one numb, shifting count bits left
+ ________ ________
+ |___xh___||___xl___|
+ |____r____|
+ >count <
+
+ The count includes any nail bits, so it should work fine if count
+ is computed using count_leading_zeros. If GMP_NAIL_BITS > 0, all of
+ xh, xl and r include nail bits. Must have 0 < count < GMP_LIMB_BITS.
+
+ FIXME: Omit masking with GMP_NUMB_MASK, and let callers do that for
+ those calls where the count high bits of xh may be non-zero.
+*/
+
+#define MPN_EXTRACT_NUMB(count, xh, xl) \
+ ((((xh) << ((count) - GMP_NAIL_BITS)) & GMP_NUMB_MASK) | \
+ ((xl) >> (GMP_LIMB_BITS - (count))))
+
+
+/* The matrix non-negative M = (u, u'; v,v') keeps track of the
+ reduction (a;b) = M (alpha; beta) where alpha, beta are smaller
+ than a, b. The determinant must always be one, so that M has an
+ inverse (v', -u'; -v, u). Elements always fit in GMP_NUMB_BITS - 1
+ bits. */
+struct hgcd_matrix1
+{
+ mp_limb_t u[2][2];
+};
+
+#define mpn_hgcd2 __MPN (hgcd2)
+int mpn_hgcd2 __GMP_PROTO ((mp_limb_t, mp_limb_t, mp_limb_t, mp_limb_t, struct hgcd_matrix1 *));
+
+#define mpn_hgcd_mul_matrix1_vector __MPN (hgcd_mul_matrix1_vector)
+mp_size_t mpn_hgcd_mul_matrix1_vector __GMP_PROTO ((const struct hgcd_matrix1 *, mp_ptr, mp_srcptr, mp_ptr, mp_size_t));
+
+#define mpn_hgcd_mul_matrix1_inverse_vector __MPN (hgcd_mul_matrix1_inverse_vector)
+mp_size_t mpn_hgcd_mul_matrix1_inverse_vector __GMP_PROTO ((const struct hgcd_matrix1 *, mp_ptr, mp_srcptr, mp_ptr, mp_size_t));
+
+struct hgcd_matrix
+{
+ mp_size_t alloc; /* for sanity checking only */
+ mp_size_t n;
+ mp_ptr p[2][2];
+};
+
+#define MPN_HGCD_MATRIX_INIT_ITCH(n) (4 * ((n+1)/2 + 1))
+
+#define mpn_hgcd_matrix_init __MPN (hgcd_matrix_init)
+void mpn_hgcd_matrix_init __GMP_PROTO ((struct hgcd_matrix *, mp_size_t, mp_ptr));
+
+#define mpn_hgcd_matrix_mul __MPN (hgcd_matrix_mul)
+void mpn_hgcd_matrix_mul __GMP_PROTO ((struct hgcd_matrix *, const struct hgcd_matrix *, mp_ptr));
+
+#define mpn_hgcd_matrix_adjust __MPN (hgcd_matrix_adjust)
+mp_size_t mpn_hgcd_matrix_adjust __GMP_PROTO ((struct hgcd_matrix *, mp_size_t, mp_ptr, mp_ptr, mp_size_t, mp_ptr));
+
+#define mpn_hgcd_itch __MPN (hgcd_itch)
+mp_size_t mpn_hgcd_itch __GMP_PROTO ((mp_size_t));
+
+#define mpn_hgcd __MPN (hgcd)
+mp_size_t mpn_hgcd __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, struct hgcd_matrix *, mp_ptr));
+
+#define MPN_HGCD_LEHMER_ITCH(n) (n)
+
+#define mpn_hgcd_lehmer __MPN (hgcd_lehmer)
+mp_size_t mpn_hgcd_lehmer __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t, struct hgcd_matrix *, mp_ptr));
+
+/* Needs storage for the quotient */
+#define MPN_GCD_SUBDIV_STEP_ITCH(n) (n)
+
+#define mpn_gcd_subdiv_step __MPN(gcd_subdiv_step)
+mp_size_t mpn_gcd_subdiv_step __GMP_PROTO ((mp_ptr, mp_size_t *, mp_ptr, mp_ptr, mp_size_t, mp_ptr));
+
+#define MPN_GCD_LEHMER_N_ITCH(n) (n)
+
+#define mpn_gcd_lehmer_n __MPN(gcd_lehmer_n)
+mp_size_t mpn_gcd_lehmer_n __GMP_PROTO ((mp_ptr, mp_ptr, mp_ptr, mp_size_t, mp_ptr));
+
+#define mpn_gcdext_subdiv_step __MPN(gcdext_subdiv_step)
+mp_size_t mpn_gcdext_subdiv_step __GMP_PROTO ((mp_ptr, mp_size_t *, mp_ptr, mp_size_t *, mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_ptr, mp_size_t *, mp_ptr, mp_ptr));
+
+#define MPN_GCDEXT_LEHMER_N_ITCH(n) (4*(n) + 3)
+
+#define mpn_gcdext_lehmer_n __MPN(gcdext_lehmer_n)
+mp_size_t mpn_gcdext_lehmer_n __GMP_PROTO ((mp_ptr, mp_ptr, mp_size_t *, mp_ptr, mp_ptr, mp_size_t, mp_ptr));
+
+/* 4*(an + 1) + 4*(bn + 1) + an */
+#define MPN_GCDEXT_LEHMER_ITCH(an, bn) (5*(an) + 4*(bn) + 8)
+
+#ifndef HGCD_THRESHOLD
+#define HGCD_THRESHOLD 400
+#endif
+
+#ifndef GCD_DC_THRESHOLD
+#define GCD_DC_THRESHOLD 1000
+#endif
+
+#ifndef GCDEXT_DC_THRESHOLD
+#define GCDEXT_DC_THRESHOLD 600
+#endif
+
+/* Definitions for mpn_set_str and mpn_get_str */
+struct powers
+{
+ mp_ptr p; /* actual power value */
+ mp_size_t n; /* # of limbs at p */
+ mp_size_t shift; /* weight of lowest limb, in limb base B */
+ size_t digits_in_base; /* number of corresponding digits */
+ int base;
+};
+typedef struct powers powers_t;
+#define mpn_dc_set_str_powtab_alloc(n) ((n) + GMP_LIMB_BITS)
+#define mpn_dc_set_str_itch(n) ((n) + GMP_LIMB_BITS)
+#define mpn_dc_get_str_powtab_alloc(n) ((n) + 2 * GMP_LIMB_BITS)
+#define mpn_dc_get_str_itch(n) ((n) + GMP_LIMB_BITS)
+
+#define mpn_dc_set_str __MPN(dc_set_str)
+mp_size_t mpn_dc_set_str __GMP_PROTO ((mp_ptr, const unsigned char *, size_t, const powers_t *, mp_ptr));
+#define mpn_bc_set_str __MPN(bc_set_str)
+mp_size_t mpn_bc_set_str __GMP_PROTO ((mp_ptr, const unsigned char *, size_t, int));
+#define mpn_set_str_compute_powtab __MPN(set_str_compute_powtab)
+void mpn_set_str_compute_powtab __GMP_PROTO ((powers_t *, mp_ptr, mp_size_t, int));
+
+
+/* __GMPF_BITS_TO_PREC applies a minimum 53 bits, rounds upwards to a whole
+ limb and adds an extra limb. __GMPF_PREC_TO_BITS drops that extra limb,
+ hence giving back the user's size in bits rounded up. Notice that
+ converting prec->bits->prec gives an unchanged value. */
+#define __GMPF_BITS_TO_PREC(n) \
+ ((mp_size_t) ((__GMP_MAX (53, n) + 2 * GMP_NUMB_BITS - 1) / GMP_NUMB_BITS))
+#define __GMPF_PREC_TO_BITS(n) \
+ ((unsigned long) (n) * GMP_NUMB_BITS - GMP_NUMB_BITS)
+
+extern mp_size_t __gmp_default_fp_limb_precision;
+
+
+/* Set n to the number of significant digits an mpf of the given _mp_prec
+ field, in the given base. This is a rounded up value, designed to ensure
+ there's enough digits to reproduce all the guaranteed part of the value.
+
+ There are prec many limbs, but the high might be only "1" so forget it
+ and just count prec-1 limbs into chars. +1 rounds that upwards, and a
+ further +1 is because the limbs usually won't fall on digit boundaries.
+
+ FIXME: If base is a power of 2 and the bits per digit divides
+ BITS_PER_MP_LIMB then the +2 is unnecessary. This happens always for
+ base==2, and in base==16 with the current 32 or 64 bit limb sizes. */
+
+#define MPF_SIGNIFICANT_DIGITS(n, base, prec) \
+ do { \
+ ASSERT (base >= 2 && base < numberof (mp_bases)); \
+ (n) = 2 + (size_t) ((((size_t) (prec) - 1) * GMP_NUMB_BITS) \
+ * mp_bases[(base)].chars_per_bit_exactly); \
+ } while (0)
+
+
+/* Decimal point string, from the current C locale. Needs <langinfo.h> for
+ nl_langinfo and constants, preferably with _GNU_SOURCE defined to get
+ DECIMAL_POINT from glibc, and needs <locale.h> for localeconv, each under
+ their respective #if HAVE_FOO_H.
+
+ GLIBC recommends nl_langinfo because getting only one facet can be
+ faster, apparently. */
+
+/* DECIMAL_POINT seems to need _GNU_SOURCE defined to get it from glibc. */
+#if HAVE_NL_LANGINFO && defined (DECIMAL_POINT)
+#define GMP_DECIMAL_POINT (nl_langinfo (DECIMAL_POINT))
+#endif
+/* RADIXCHAR is deprecated, still in unix98 or some such. */
+#if HAVE_NL_LANGINFO && defined (RADIXCHAR) && ! defined (GMP_DECIMAL_POINT)
+#define GMP_DECIMAL_POINT (nl_langinfo (RADIXCHAR))
+#endif
+/* localeconv is slower since it returns all locale stuff */
+#if HAVE_LOCALECONV && ! defined (GMP_DECIMAL_POINT)
+#define GMP_DECIMAL_POINT (localeconv()->decimal_point)
+#endif
+#if ! defined (GMP_DECIMAL_POINT)
+#define GMP_DECIMAL_POINT (".")
+#endif
+
+
+#define DOPRNT_CONV_FIXED 1
+#define DOPRNT_CONV_SCIENTIFIC 2
+#define DOPRNT_CONV_GENERAL 3
+
+#define DOPRNT_JUSTIFY_NONE 0
+#define DOPRNT_JUSTIFY_LEFT 1
+#define DOPRNT_JUSTIFY_RIGHT 2
+#define DOPRNT_JUSTIFY_INTERNAL 3
+
+#define DOPRNT_SHOWBASE_YES 1
+#define DOPRNT_SHOWBASE_NO 2
+#define DOPRNT_SHOWBASE_NONZERO 3
+
+struct doprnt_params_t {
+ int base; /* negative for upper case */
+ int conv; /* choices above */
+ const char *expfmt; /* exponent format */
+ int exptimes4; /* exponent multiply by 4 */
+ char fill; /* character */
+ int justify; /* choices above */
+ int prec; /* prec field, or -1 for all digits */
+ int showbase; /* choices above */
+ int showpoint; /* if radix point always shown */
+ int showtrailing; /* if trailing zeros wanted */
+ char sign; /* '+', ' ', or '\0' */
+ int width; /* width field */
+};
+
+#if _GMP_H_HAVE_VA_LIST
+
+typedef int (*doprnt_format_t) __GMP_PROTO ((void *, const char *, va_list));
+typedef int (*doprnt_memory_t) __GMP_PROTO ((void *, const char *, size_t));
+typedef int (*doprnt_reps_t) __GMP_PROTO ((void *, int, int));
+typedef int (*doprnt_final_t) __GMP_PROTO ((void *));
+
+struct doprnt_funs_t {
+ doprnt_format_t format;
+ doprnt_memory_t memory;
+ doprnt_reps_t reps;
+ doprnt_final_t final; /* NULL if not required */
+};
+
+extern const struct doprnt_funs_t __gmp_fprintf_funs;
+extern const struct doprnt_funs_t __gmp_sprintf_funs;
+extern const struct doprnt_funs_t __gmp_snprintf_funs;
+extern const struct doprnt_funs_t __gmp_obstack_printf_funs;
+extern const struct doprnt_funs_t __gmp_ostream_funs;
+
+/* "buf" is a __gmp_allocate_func block of "alloc" many bytes. The first
+ "size" of these have been written. "alloc > size" is maintained, so
+ there's room to store a '\0' at the end. "result" is where the
+ application wants the final block pointer. */
+struct gmp_asprintf_t {
+ char **result;
+ char *buf;
+ size_t size;
+ size_t alloc;
+};
+
+#define GMP_ASPRINTF_T_INIT(d, output) \
+ do { \
+ (d).result = (output); \
+ (d).alloc = 256; \
+ (d).buf = (char *) (*__gmp_allocate_func) ((d).alloc); \
+ (d).size = 0; \
+ } while (0)
+
+/* If a realloc is necessary, use twice the size actually required, so as to
+ avoid repeated small reallocs. */
+#define GMP_ASPRINTF_T_NEED(d, n) \
+ do { \
+ size_t alloc, newsize, newalloc; \
+ ASSERT ((d)->alloc >= (d)->size + 1); \
+ \
+ alloc = (d)->alloc; \
+ newsize = (d)->size + (n); \
+ if (alloc <= newsize) \
+ { \
+ newalloc = 2*newsize; \
+ (d)->alloc = newalloc; \
+ (d)->buf = __GMP_REALLOCATE_FUNC_TYPE ((d)->buf, \
+ alloc, newalloc, char); \
+ } \
+ } while (0)
+
+__GMP_DECLSPEC int __gmp_asprintf_memory __GMP_PROTO ((struct gmp_asprintf_t *, const char *, size_t));
+__GMP_DECLSPEC int __gmp_asprintf_reps __GMP_PROTO ((struct gmp_asprintf_t *, int, int));
+__GMP_DECLSPEC int __gmp_asprintf_final __GMP_PROTO ((struct gmp_asprintf_t *));
+
+/* buf is where to write the next output, and size is how much space is left
+ there. If the application passed size==0 then that's what we'll have
+ here, and nothing at all should be written. */
+struct gmp_snprintf_t {
+ char *buf;
+ size_t size;
+};
+
+/* Add the bytes printed by the call to the total retval, or bail out on an
+ error. */
+#define DOPRNT_ACCUMULATE(call) \
+ do { \
+ int __ret; \
+ __ret = call; \
+ if (__ret == -1) \
+ goto error; \
+ retval += __ret; \
+ } while (0)
+#define DOPRNT_ACCUMULATE_FUN(fun, params) \
+ do { \
+ ASSERT ((fun) != NULL); \
+ DOPRNT_ACCUMULATE ((*(fun)) params); \
+ } while (0)
+
+#define DOPRNT_FORMAT(fmt, ap) \
+ DOPRNT_ACCUMULATE_FUN (funs->format, (data, fmt, ap))
+#define DOPRNT_MEMORY(ptr, len) \
+ DOPRNT_ACCUMULATE_FUN (funs->memory, (data, ptr, len))
+#define DOPRNT_REPS(c, n) \
+ DOPRNT_ACCUMULATE_FUN (funs->reps, (data, c, n))
+
+#define DOPRNT_STRING(str) DOPRNT_MEMORY (str, strlen (str))
+
+#define DOPRNT_REPS_MAYBE(c, n) \
+ do { \
+ if ((n) != 0) \
+ DOPRNT_REPS (c, n); \
+ } while (0)
+#define DOPRNT_MEMORY_MAYBE(ptr, len) \
+ do { \
+ if ((len) != 0) \
+ DOPRNT_MEMORY (ptr, len); \
+ } while (0)
+
+__GMP_DECLSPEC int __gmp_doprnt __GMP_PROTO ((const struct doprnt_funs_t *, void *, const char *, va_list));
+__GMP_DECLSPEC int __gmp_doprnt_integer __GMP_PROTO ((const struct doprnt_funs_t *, void *, const struct doprnt_params_t *, const char *));
+
+#define __gmp_doprnt_mpf __gmp_doprnt_mpf2
+__GMP_DECLSPEC int __gmp_doprnt_mpf __GMP_PROTO ((const struct doprnt_funs_t *, void *, const struct doprnt_params_t *, const char *, mpf_srcptr));
+
+int __gmp_replacement_vsnprintf __GMP_PROTO ((char *, size_t, const char *, va_list));
+#endif /* _GMP_H_HAVE_VA_LIST */
+
+
+typedef int (*gmp_doscan_scan_t) __GMP_PROTO ((void *, const char *, ...));
+typedef void *(*gmp_doscan_step_t) __GMP_PROTO ((void *, int));
+typedef int (*gmp_doscan_get_t) __GMP_PROTO ((void *));
+typedef int (*gmp_doscan_unget_t) __GMP_PROTO ((int, void *));
+
+struct gmp_doscan_funs_t {
+ gmp_doscan_scan_t scan;
+ gmp_doscan_step_t step;
+ gmp_doscan_get_t get;
+ gmp_doscan_unget_t unget;
+};
+extern const struct gmp_doscan_funs_t __gmp_fscanf_funs;
+extern const struct gmp_doscan_funs_t __gmp_sscanf_funs;
+
+#if _GMP_H_HAVE_VA_LIST
+int __gmp_doscan __GMP_PROTO ((const struct gmp_doscan_funs_t *, void *,
+ const char *, va_list));
+#endif
+
+
+/* For testing and debugging. */
+#define MPZ_CHECK_FORMAT(z) \
+ do { \
+ ASSERT_ALWAYS (SIZ(z) == 0 || PTR(z)[ABSIZ(z) - 1] != 0); \
+ ASSERT_ALWAYS (ALLOC(z) >= ABSIZ(z)); \
+ ASSERT_ALWAYS_MPN (PTR(z), ABSIZ(z)); \
+ } while (0)
+
+#define MPQ_CHECK_FORMAT(q) \
+ do { \
+ MPZ_CHECK_FORMAT (mpq_numref (q)); \
+ MPZ_CHECK_FORMAT (mpq_denref (q)); \
+ ASSERT_ALWAYS (SIZ(mpq_denref(q)) >= 1); \
+ \
+ if (SIZ(mpq_numref(q)) == 0) \
+ { \
+ /* should have zero as 0/1 */ \
+ ASSERT_ALWAYS (SIZ(mpq_denref(q)) == 1 \
+ && PTR(mpq_denref(q))[0] == 1); \
+ } \
+ else \
+ { \
+ /* should have no common factors */ \
+ mpz_t g; \
+ mpz_init (g); \
+ mpz_gcd (g, mpq_numref(q), mpq_denref(q)); \
+ ASSERT_ALWAYS (mpz_cmp_ui (g, 1) == 0); \
+ mpz_clear (g); \
+ } \
+ } while (0)
+
+#define MPF_CHECK_FORMAT(f) \
+ do { \
+ ASSERT_ALWAYS (PREC(f) >= __GMPF_BITS_TO_PREC(53)); \
+ ASSERT_ALWAYS (ABSIZ(f) <= PREC(f)+1); \
+ if (SIZ(f) == 0) \
+ ASSERT_ALWAYS (EXP(f) == 0); \
+ if (SIZ(f) != 0) \
+ ASSERT_ALWAYS (PTR(f)[ABSIZ(f) - 1] != 0); \
+ } while (0)
+
+
+#define MPZ_PROVOKE_REALLOC(z) \
+ do { ALLOC(z) = ABSIZ(z); } while (0)
+
+
+/* Enhancement: The "mod" and "gcd_1" functions below could have
+ __GMP_ATTRIBUTE_PURE, but currently (gcc 3.3) that's not supported on
+ function pointers, only actual functions. It probably doesn't make much
+ difference to the gmp code, since hopefully we arrange calls so there's
+ no great need for the compiler to move things around. */
+
+#if WANT_FAT_BINARY && HAVE_HOST_CPU_FAMILY_x86
+/* NOTE: The function pointers in this struct are also in CPUVEC_FUNCS_LIST
+ in mpn/x86/x86-defs.m4. Be sure to update that when changing here. */
+struct cpuvec_t {
+ DECL_add_n ((*add_n));
+ DECL_addmul_1 ((*addmul_1));
+ DECL_copyd ((*copyd));
+ DECL_copyi ((*copyi));
+ DECL_divexact_1 ((*divexact_1));
+ DECL_divexact_by3c ((*divexact_by3c));
+ DECL_divrem_1 ((*divrem_1));
+ DECL_gcd_1 ((*gcd_1));
+ DECL_lshift ((*lshift));
+ DECL_mod_1 ((*mod_1));
+ DECL_mod_34lsub1 ((*mod_34lsub1));
+ DECL_modexact_1c_odd ((*modexact_1c_odd));
+ DECL_mul_1 ((*mul_1));
+ DECL_mul_basecase ((*mul_basecase));
+ DECL_preinv_divrem_1 ((*preinv_divrem_1));
+ DECL_preinv_mod_1 ((*preinv_mod_1));
+ DECL_rshift ((*rshift));
+ DECL_sqr_basecase ((*sqr_basecase));
+ DECL_sub_n ((*sub_n));
+ DECL_submul_1 ((*submul_1));
+ int initialized;
+ mp_size_t mul_karatsuba_threshold;
+ mp_size_t mul_toom3_threshold;
+ mp_size_t sqr_karatsuba_threshold;
+ mp_size_t sqr_toom3_threshold;
+};
+__GMP_DECLSPEC extern struct cpuvec_t __gmpn_cpuvec;
+#endif /* x86 fat binary */
+
+void __gmpn_cpuvec_init __GMP_PROTO ((void));
+
+/* Get a threshold "field" from __gmpn_cpuvec, running __gmpn_cpuvec_init()
+ if that hasn't yet been done (to establish the right values). */
+#define CPUVEC_THRESHOLD(field) \
+ ((LIKELY (__gmpn_cpuvec.initialized) ? 0 : (__gmpn_cpuvec_init (), 0)), \
+ __gmpn_cpuvec.field)
+
+
+#if HAVE_NATIVE_mpn_add_nc
+#define mpn_add_nc __MPN(add_nc)
+__GMP_DECLSPEC mp_limb_t mpn_add_nc __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t, mp_limb_t));
+#else
+static inline
+mp_limb_t
+mpn_add_nc (mp_ptr rp, mp_srcptr up, mp_srcptr vp, mp_size_t n, mp_limb_t ci)
+{
+ mp_limb_t co;
+ co = mpn_add_n (rp, up, vp, n);
+ co += mpn_add_1 (rp, rp, n, ci);
+ return co;
+}
+#endif
+
+#if HAVE_NATIVE_mpn_sub_nc
+#define mpn_sub_nc __MPN(sub_nc)
+__GMP_DECLSPEC mp_limb_t mpn_sub_nc __GMP_PROTO ((mp_ptr, mp_srcptr, mp_srcptr, mp_size_t, mp_limb_t));
+#else
+static inline mp_limb_t
+mpn_sub_nc (mp_ptr rp, mp_srcptr up, mp_srcptr vp, mp_size_t n, mp_limb_t ci)
+{
+ mp_limb_t co;
+ co = mpn_sub_n (rp, up, vp, n);
+ co += mpn_sub_1 (rp, rp, n, ci);
+ return co;
+}
+#endif
+
+static inline int
+mpn_zero_p (mp_srcptr ap, mp_size_t n)
+{
+ mp_size_t i;
+ for (i = n - 1; i >= 0; i--)
+ {
+ if (ap[i] != 0)
+ return 0;
+ }
+ return 1;
+}
+
+#if TUNE_PROGRAM_BUILD
+/* Some extras wanted when recompiling some .c files for use by the tune
+ program. Not part of a normal build.
+
+ It's necessary to keep these thresholds as #defines (just to an
+ identically named variable), since various defaults are established based
+ on #ifdef in the .c files. For some this is not so (the defaults are
+ instead established above), but all are done this way for consistency. */
+
+#undef MUL_KARATSUBA_THRESHOLD
+#define MUL_KARATSUBA_THRESHOLD mul_karatsuba_threshold
+extern mp_size_t mul_karatsuba_threshold;
+
+#undef MUL_TOOM3_THRESHOLD
+#define MUL_TOOM3_THRESHOLD mul_toom3_threshold
+extern mp_size_t mul_toom3_threshold;
+
+#undef MUL_TOOM44_THRESHOLD
+#define MUL_TOOM44_THRESHOLD mul_toom44_threshold
+extern mp_size_t mul_toom44_threshold;
+
+#undef MUL_FFT_THRESHOLD
+#define MUL_FFT_THRESHOLD mul_fft_threshold
+extern mp_size_t mul_fft_threshold;
+
+#undef MUL_FFT_MODF_THRESHOLD
+#define MUL_FFT_MODF_THRESHOLD mul_fft_modf_threshold
+extern mp_size_t mul_fft_modf_threshold;
+
+#undef MUL_FFT_TABLE
+#define MUL_FFT_TABLE { 0 }
+
+/* A native mpn_sqr_basecase is not tuned and SQR_BASECASE_THRESHOLD should
+ remain as zero (always use it). */
+#if ! HAVE_NATIVE_mpn_sqr_basecase
+#undef SQR_BASECASE_THRESHOLD
+#define SQR_BASECASE_THRESHOLD sqr_basecase_threshold
+extern mp_size_t sqr_basecase_threshold;
+#endif
+
+#if TUNE_PROGRAM_BUILD_SQR
+#undef SQR_KARATSUBA_THRESHOLD
+#define SQR_KARATSUBA_THRESHOLD SQR_KARATSUBA_MAX_GENERIC
+#else
+#undef SQR_KARATSUBA_THRESHOLD
+#define SQR_KARATSUBA_THRESHOLD sqr_karatsuba_threshold
+extern mp_size_t sqr_karatsuba_threshold;
+#endif
+
+#undef SQR_TOOM3_THRESHOLD
+#define SQR_TOOM3_THRESHOLD sqr_toom3_threshold
+extern mp_size_t sqr_toom3_threshold;
+
+#undef SQR_TOOM4_THRESHOLD
+#define SQR_TOOM4_THRESHOLD sqr_toom4_threshold
+extern mp_size_t sqr_toom4_threshold;
+
+#undef SQR_FFT_THRESHOLD
+#define SQR_FFT_THRESHOLD sqr_fft_threshold
+extern mp_size_t sqr_fft_threshold;
+
+#undef SQR_FFT_MODF_THRESHOLD
+#define SQR_FFT_MODF_THRESHOLD sqr_fft_modf_threshold
+extern mp_size_t sqr_fft_modf_threshold;
+
+#undef SQR_FFT_TABLE
+#define SQR_FFT_TABLE { 0 }
+
+#undef MULLOW_BASECASE_THRESHOLD
+#define MULLOW_BASECASE_THRESHOLD mullow_basecase_threshold
+extern mp_size_t mullow_basecase_threshold;
+
+#undef MULLOW_DC_THRESHOLD
+#define MULLOW_DC_THRESHOLD mullow_dc_threshold
+extern mp_size_t mullow_dc_threshold;
+
+#undef MULLOW_MUL_N_THRESHOLD
+#define MULLOW_MUL_N_THRESHOLD mullow_mul_n_threshold
+extern mp_size_t mullow_mul_n_threshold;
+
+
+#if ! UDIV_PREINV_ALWAYS
+#undef DIV_SB_PREINV_THRESHOLD
+#define DIV_SB_PREINV_THRESHOLD div_sb_preinv_threshold
+extern mp_size_t div_sb_preinv_threshold;
+#endif
+
+#undef DIV_DC_THRESHOLD
+#define DIV_DC_THRESHOLD div_dc_threshold
+extern mp_size_t div_dc_threshold;
+
+#undef POWM_THRESHOLD
+#define POWM_THRESHOLD powm_threshold
+extern mp_size_t powm_threshold;
+
+#undef MATRIX22_STRASSEN_THRESHOLD
+#define MATRIX22_STRASSEN_THRESHOLD matrix22_strassen_threshold
+extern mp_size_t matrix22_strassen_threshold;
+
+#undef HGCD_THRESHOLD
+#define HGCD_THRESHOLD hgcd_threshold
+extern mp_size_t hgcd_threshold;
+
+#undef GCD_ACCEL_THRESHOLD
+#define GCD_ACCEL_THRESHOLD gcd_accel_threshold
+extern mp_size_t gcd_accel_threshold;
+
+#undef GCD_DC_THRESHOLD
+#define GCD_DC_THRESHOLD gcd_dc_threshold
+extern mp_size_t gcd_dc_threshold;
+
+#undef GCDEXT_DC_THRESHOLD
+#define GCDEXT_DC_THRESHOLD gcdext_dc_threshold
+extern mp_size_t gcdext_dc_threshold;
+
+#undef DIVREM_1_NORM_THRESHOLD
+#define DIVREM_1_NORM_THRESHOLD divrem_1_norm_threshold
+extern mp_size_t divrem_1_norm_threshold;
+
+#undef DIVREM_1_UNNORM_THRESHOLD
+#define DIVREM_1_UNNORM_THRESHOLD divrem_1_unnorm_threshold
+extern mp_size_t divrem_1_unnorm_threshold;
+
+#undef MOD_1_NORM_THRESHOLD
+#define MOD_1_NORM_THRESHOLD mod_1_norm_threshold
+extern mp_size_t mod_1_norm_threshold;
+
+#undef MOD_1_UNNORM_THRESHOLD
+#define MOD_1_UNNORM_THRESHOLD mod_1_unnorm_threshold
+extern mp_size_t mod_1_unnorm_threshold;
+
+#undef MOD_1_1_THRESHOLD
+#define MOD_1_1_THRESHOLD mod_1_1_threshold
+extern mp_size_t mod_1_1_threshold;
+
+#undef MOD_1_2_THRESHOLD
+#define MOD_1_2_THRESHOLD mod_1_2_threshold
+extern mp_size_t mod_1_2_threshold;
+
+#undef MOD_1_3_THRESHOLD
+#define MOD_1_3_THRESHOLD mod_1_3_threshold
+extern mp_size_t mod_1_3_threshold;
+
+#undef MOD_1_4_THRESHOLD
+#define MOD_1_4_THRESHOLD mod_1_4_threshold
+extern mp_size_t mod_1_4_threshold;
+
+#if ! UDIV_PREINV_ALWAYS
+#undef DIVREM_2_THRESHOLD
+#define DIVREM_2_THRESHOLD divrem_2_threshold
+extern mp_size_t divrem_2_threshold;
+#endif
+
+#undef GET_STR_DC_THRESHOLD
+#define GET_STR_DC_THRESHOLD get_str_dc_threshold
+extern mp_size_t get_str_dc_threshold;
+
+#undef GET_STR_PRECOMPUTE_THRESHOLD
+#define GET_STR_PRECOMPUTE_THRESHOLD get_str_precompute_threshold
+extern mp_size_t get_str_precompute_threshold;
+
+#undef SET_STR_DC_THRESHOLD
+#define SET_STR_DC_THRESHOLD set_str_dc_threshold
+extern mp_size_t set_str_dc_threshold;
+
+#undef SET_STR_PRECOMPUTE_THRESHOLD
+#define SET_STR_PRECOMPUTE_THRESHOLD set_str_precompute_threshold
+extern mp_size_t set_str_precompute_threshold;
+
+#undef SET_STR_THRESHOLD
+#define SET_STR_THRESHOLD set_str_threshold
+extern mp_size_t SET_STR_THRESHOLD;
+
+#undef FFT_TABLE_ATTRS
+#define FFT_TABLE_ATTRS
+extern mp_size_t mpn_fft_table[2][MPN_FFT_TABLE_SIZE];
+
+/* Sizes the tune program tests up to, used in a couple of recompilations. */
+#undef MUL_KARATSUBA_THRESHOLD_LIMIT
+#undef MUL_TOOM3_THRESHOLD_LIMIT
+#undef MULLOW_BASECASE_THRESHOLD_LIMIT
+#undef SQR_TOOM3_THRESHOLD_LIMIT
+#define SQR_KARATSUBA_MAX_GENERIC 200
+#define MUL_KARATSUBA_THRESHOLD_LIMIT 700
+#define MUL_TOOM3_THRESHOLD_LIMIT 700
+#define SQR_TOOM3_THRESHOLD_LIMIT 400
+#define MUL_TOOM44_THRESHOLD_LIMIT 1000
+#define SQR_TOOM4_THRESHOLD_LIMIT 1000
+#define MULLOW_BASECASE_THRESHOLD_LIMIT 200
+#define GET_STR_THRESHOLD_LIMIT 150
+
+/* "thresh" will normally be a variable when tuning, so use the cached
+ result. This helps mpn_sb_divrem_mn for instance. */
+#undef CACHED_ABOVE_THRESHOLD
+#define CACHED_ABOVE_THRESHOLD(cache, thresh) (cache)
+#undef CACHED_BELOW_THRESHOLD
+#define CACHED_BELOW_THRESHOLD(cache, thresh) (cache)
+
+#endif /* TUNE_PROGRAM_BUILD */
+
+#if defined (__cplusplus)
+}
+#endif
+
+
+#ifdef __cplusplus
+
+/* A little helper for a null-terminated __gmp_allocate_func string.
+ The destructor ensures it's freed even if an exception is thrown.
+ The len field is needed by the destructor, and can be used by anyone else
+ to avoid a second strlen pass over the data.
+
+ Since our input is a C string, using strlen is correct. Perhaps it'd be
+ more C++-ish style to use std::char_traits<char>::length, but char_traits
+ isn't available in gcc 2.95.4. */
+
+class gmp_allocated_string {
+ public:
+ char *str;
+ size_t len;
+ gmp_allocated_string(char *arg)
+ {
+ str = arg;
+ len = std::strlen (str);
+ }
+ ~gmp_allocated_string()
+ {
+ (*__gmp_free_func) (str, len+1);
+ }
+};
+
+std::istream &__gmpz_operator_in_nowhite (std::istream &, mpz_ptr, char);
+int __gmp_istream_set_base (std::istream &, char &, bool &, bool &);
+void __gmp_istream_set_digits (std::string &, std::istream &, char &, bool &, int);
+void __gmp_doprnt_params_from_ios (struct doprnt_params_t *p, std::ios &o);
+std::ostream& __gmp_doprnt_integer_ostream (std::ostream &o, struct doprnt_params_t *p, char *s);
+extern const struct doprnt_funs_t __gmp_asprintf_funs_noformat;
+
+#endif /* __cplusplus */
+
+#endif /* __GMP_IMPL_H__ */
projects / msp430-gcc.git / blobdiff