mpir/longlong_post.h

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/* longlong.h -- definitions for mixed size 32/64 bit arithmetic.
Copyright 1991, 1992, 1993, 1994, 1996, 1997, 1999, 2000, 2001, 2002, 2003,
2004, 2005 Free Software Foundation, Inc.
This file 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 2.1 of the License, or (at your
option) any later version.
This file 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 this file; see the file COPYING.LIB. If not, write to
the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA. */
/* You have to define the following before including this file:
UWtype -- An unsigned type, default type for operations (typically a "word")
UHWtype -- An unsigned type, at least half the size of UWtype.
UDWtype -- An unsigned type, at least twice as large a UWtype
W_TYPE_SIZE -- size in bits of UWtype
SItype, USItype -- Signed and unsigned 32 bit types.
DItype, UDItype -- Signed and unsigned 64 bit types.
On a 32 bit machine UWtype should typically be USItype;
on a 64 bit machine, UWtype should typically be UDItype.
*/
/* Use mpn_umul_ppmm or mpn_udiv_qrnnd functions, if they exist. The "_r"
forms have "reversed" arguments, meaning the pointer is last, which
sometimes allows better parameter passing, in particular on 64-bit
hppa. */
#define mpn_umul_ppmm __MPN(umul_ppmm)
extern UWtype mpn_umul_ppmm _PROTO ((UWtype *, UWtype, UWtype));
#if ! defined (umul_ppmm) && HAVE_NATIVE_mpn_umul_ppmm \
&& ! defined (LONGLONG_STANDALONE)
#define umul_ppmm(wh, wl, u, v) \
do { \
UWtype __umul_ppmm__p0; \
(wh) = mpn_umul_ppmm (&__umul_ppmm__p0, (UWtype) (u), (UWtype) (v)); \
(wl) = __umul_ppmm__p0; \
} while (0)
#endif
#define mpn_umul_ppmm_r __MPN(umul_ppmm_r)
extern UWtype mpn_umul_ppmm_r _PROTO ((UWtype, UWtype, UWtype *));
#if ! defined (umul_ppmm) && HAVE_NATIVE_mpn_umul_ppmm_r \
&& ! defined (LONGLONG_STANDALONE)
#define umul_ppmm(wh, wl, u, v) \
do { \
UWtype __umul_ppmm__p0; \
(wh) = mpn_umul_ppmm_r ((UWtype) (u), (UWtype) (v), &__umul_ppmm__p0); \
(wl) = __umul_ppmm__p0; \
} while (0)
#endif
#define mpn_udiv_qrnnd __MPN(udiv_qrnnd)
extern UWtype mpn_udiv_qrnnd _PROTO ((UWtype *, UWtype, UWtype, UWtype));
#if ! defined (udiv_qrnnd) && HAVE_NATIVE_mpn_udiv_qrnnd \
&& ! defined (LONGLONG_STANDALONE)
#define udiv_qrnnd(q, r, n1, n0, d) \
do { \
UWtype __udiv_qrnnd__r; \
(q) = mpn_udiv_qrnnd (&__udiv_qrnnd__r, \
(UWtype) (n1), (UWtype) (n0), (UWtype) d); \
(r) = __udiv_qrnnd__r; \
} while (0)
#endif
#define mpn_udiv_qrnnd_r __MPN(udiv_qrnnd_r)
extern UWtype mpn_udiv_qrnnd_r _PROTO ((UWtype, UWtype, UWtype, UWtype *));
#if ! defined (udiv_qrnnd) && HAVE_NATIVE_mpn_udiv_qrnnd_r \
&& ! defined (LONGLONG_STANDALONE)
#define udiv_qrnnd(q, r, n1, n0, d) \
do { \
UWtype __udiv_qrnnd__r; \
(q) = mpn_udiv_qrnnd_r ((UWtype) (n1), (UWtype) (n0), (UWtype) d, \
&__udiv_qrnnd__r); \
(r) = __udiv_qrnnd__r; \
} while (0)
#endif
/* If this machine has no inline assembler, use C macros. */
#if !defined (add_ssaaaa)
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
do { \
UWtype __x; \
__x = (al) + (bl); \
(sh) = (ah) + (bh) + (__x < (al)); \
(sl) = __x; \
} while (0)
#endif
#if !defined (sub_ddmmss)
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
do { \
UWtype __x; \
__x = (al) - (bl); \
(sh) = (ah) - (bh) - ((al) < (bl)); \
(sl) = __x; \
} while (0)
#endif
/* If we lack umul_ppmm but have smul_ppmm, define umul_ppmm in terms of
smul_ppmm. */
#if !defined (umul_ppmm) && defined (smul_ppmm)
#define umul_ppmm(w1, w0, u, v) \
do { \
UWtype __w1; \
UWtype __xm0 = (u), __xm1 = (v); \
smul_ppmm (__w1, w0, __xm0, __xm1); \
(w1) = __w1 + (-(__xm0 >> (W_TYPE_SIZE - 1)) & __xm1) \
+ (-(__xm1 >> (W_TYPE_SIZE - 1)) & __xm0); \
} while (0)
#endif
/* If we still don't have umul_ppmm, define it using plain C.
For reference, when this code is used for squaring (ie. u and v identical
expressions), gcc recognises __x1 and __x2 are the same and generates 3
multiplies, not 4. The subsequent additions could be optimized a bit,
but the only place GMP currently uses such a square is mpn_sqr_basecase,
and chips obliged to use this generic C umul will have plenty of worse
performance problems than a couple of extra instructions on the diagonal
of sqr_basecase. */
#if !defined (umul_ppmm)
#define umul_ppmm(w1, w0, u, v) \
do { \
UWtype __x0, __x1, __x2, __x3; \
UHWtype __ul, __vl, __uh, __vh; \
UWtype __u = (u), __v = (v); \
\
__ul = __ll_lowpart (__u); \
__uh = __ll_highpart (__u); \
__vl = __ll_lowpart (__v); \
__vh = __ll_highpart (__v); \
\
__x0 = (UWtype) __ul * __vl; \
__x1 = (UWtype) __ul * __vh; \
__x2 = (UWtype) __uh * __vl; \
__x3 = (UWtype) __uh * __vh; \
\
__x1 += __ll_highpart (__x0);/* this can't give carry */ \
__x1 += __x2; /* but this indeed can */ \
if (__x1 < __x2) /* did we get it? */ \
__x3 += __ll_B; /* yes, add it in the proper pos. */ \
\
(w1) = __x3 + __ll_highpart (__x1); \
(w0) = (__x1 << W_TYPE_SIZE/2) + __ll_lowpart (__x0); \
} while (0)
#endif
/* If we don't have smul_ppmm, define it using umul_ppmm (which surely will
exist in one form or another. */
#if !defined (smul_ppmm)
#define smul_ppmm(w1, w0, u, v) \
do { \
UWtype __w1; \
UWtype __xm0 = (u), __xm1 = (v); \
umul_ppmm (__w1, w0, __xm0, __xm1); \
(w1) = __w1 - (-(__xm0 >> (W_TYPE_SIZE - 1)) & __xm1) \
- (-(__xm1 >> (W_TYPE_SIZE - 1)) & __xm0); \
} while (0)
#endif
/* Define this unconditionally, so it can be used for debugging. */
#define __udiv_qrnnd_c(q, r, n1, n0, d) \
do { \
UWtype __d1, __d0, __q1, __q0, __r1, __r0, __m; \
\
ASSERT ((d) != 0); \
ASSERT ((n1) < (d)); \
\
__d1 = __ll_highpart (d); \
__d0 = __ll_lowpart (d); \
\
__q1 = (n1) / __d1; \
__r1 = (n1) - __q1 * __d1; \
__m = __q1 * __d0; \
__r1 = __r1 * __ll_B | __ll_highpart (n0); \
if (__r1 < __m) \
{ \
__q1--, __r1 += (d); \
if (__r1 >= (d)) /* i.e. we didn't get carry when adding to __r1 */\
if (__r1 < __m) \
__q1--, __r1 += (d); \
} \
__r1 -= __m; \
\
__q0 = __r1 / __d1; \
__r0 = __r1 - __q0 * __d1; \
__m = __q0 * __d0; \
__r0 = __r0 * __ll_B | __ll_lowpart (n0); \
if (__r0 < __m) \
{ \
__q0--, __r0 += (d); \
if (__r0 >= (d)) \
if (__r0 < __m) \
__q0--, __r0 += (d); \
} \
__r0 -= __m; \
\
(q) = __q1 * __ll_B | __q0; \
(r) = __r0; \
} while (0)
/* If the processor has no udiv_qrnnd but sdiv_qrnnd, go through
__udiv_w_sdiv (defined in libgcc or elsewhere). */
#if !defined (udiv_qrnnd) && defined (sdiv_qrnnd)
#define udiv_qrnnd(q, r, nh, nl, d) \
do { \
UWtype __r; \
(q) = __MPN(udiv_w_sdiv) (&__r, nh, nl, d); \
(r) = __r; \
} while (0)
#endif
/* If udiv_qrnnd was not defined for this processor, use __udiv_qrnnd_c. */
#if !defined (udiv_qrnnd)
#define UDIV_NEEDS_NORMALIZATION 1
#define udiv_qrnnd __udiv_qrnnd_c
#endif
#if !defined (count_leading_zeros)
#define count_leading_zeros(count, x) \
do { \
UWtype __xr = (x); \
UWtype __a; \
\
if (W_TYPE_SIZE == 32) \
{ \
__a = __xr < ((UWtype) 1 << 2*__BITS4) \
? (__xr < ((UWtype) 1 << __BITS4) ? 1 : __BITS4 + 1) \
: (__xr < ((UWtype) 1 << 3*__BITS4) ? 2*__BITS4 + 1 \
: 3*__BITS4 + 1); \
} \
else \
{ \
for (__a = W_TYPE_SIZE - 8; __a > 0; __a -= 8) \
if (((__xr >> __a) & 0xff) != 0) \
break; \
++__a; \
} \
\
(count) = W_TYPE_SIZE + 1 - __a - __clz_tab[__xr >> __a]; \
} while (0)
/* This version gives a well-defined value for zero. */
#define COUNT_LEADING_ZEROS_0 (W_TYPE_SIZE - 1)
#define COUNT_LEADING_ZEROS_NEED_CLZ_TAB
#endif
#ifdef COUNT_LEADING_ZEROS_NEED_CLZ_TAB
extern const unsigned char __GMP_DECLSPEC __clz_tab[128];
#endif
#if !defined (count_trailing_zeros)
/* Define count_trailing_zeros using count_leading_zeros. The latter might be
defined in asm, but if it is not, the C version above is good enough. */
#define count_trailing_zeros(count, x) \
do { \
UWtype __ctz_x = (x); \
UWtype __ctz_c; \
ASSERT (__ctz_x != 0); \
count_leading_zeros (__ctz_c, __ctz_x & -__ctz_x); \
(count) = W_TYPE_SIZE - 1 - __ctz_c; \
} while (0)
#endif
#ifndef UDIV_NEEDS_NORMALIZATION
#define UDIV_NEEDS_NORMALIZATION 0
#endif
/* Whether udiv_qrnnd is actually implemented with udiv_qrnnd_preinv, and
that hence the latter should always be used. */
#ifndef UDIV_PREINV_ALWAYS
#define UDIV_PREINV_ALWAYS 0
#endif