dp_mul.c
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上传日期:2013-02-24
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- /* IEEE754 floating point arithmetic
- * double precision: common utilities
- */
- /*
- * MIPS floating point support
- * Copyright (C) 1994-2000 Algorithmics Ltd. All rights reserved.
- * http://www.algor.co.uk
- *
- * ########################################################################
- *
- * This program is free software; you can distribute it and/or modify it
- * under the terms of the GNU General Public License (Version 2) as
- * published by the Free Software Foundation.
- *
- * This program is distributed in the hope it will be useful, but WITHOUT
- * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
- * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
- * for more details.
- *
- * You should have received a copy of the GNU General Public License along
- * with this program; if not, write to the Free Software Foundation, Inc.,
- * 59 Temple Place - Suite 330, Boston MA 02111-1307, USA.
- *
- * ########################################################################
- */
- #include "ieee754dp.h"
- ieee754dp ieee754dp_mul(ieee754dp x, ieee754dp y)
- {
- COMPXDP;
- COMPYDP;
- CLEARCX;
- EXPLODEXDP;
- EXPLODEYDP;
- switch (CLPAIR(xc, yc)) {
- case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
- return ieee754dp_nanxcpt(ieee754dp_bestnan(x, y), "mul", x,
- y);
- case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
- case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
- case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
- case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
- case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
- return ieee754dp_nanxcpt(y, "mul", x, y);
- case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
- case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
- case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
- case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
- case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
- return ieee754dp_nanxcpt(x, "mul", x, y);
- case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
- return ieee754dp_bestnan(x, y);
- case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
- case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
- case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
- case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
- return y;
- case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
- case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
- case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
- case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
- return x;
- /* Infinity handeling */
- case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
- case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
- SETCX(IEEE754_INVALID_OPERATION);
- return ieee754dp_xcpt(ieee754dp_indef(), "mul", x, y);
- case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
- case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
- case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
- case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
- case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
- return ieee754dp_inf(xs ^ ys);
- case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
- case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
- case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
- case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
- case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
- return ieee754dp_zero(xs ^ ys);
- case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
- DPDNORMX;
- case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
- DPDNORMY;
- break;
- case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
- DPDNORMX;
- break;
- case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
- break;
- }
- /* rm = xm * ym, re = xe+ye basicly */
- assert(xm & DP_HIDDEN_BIT);
- assert(ym & DP_HIDDEN_BIT);
- {
- int re = xe + ye;
- int rs = xs ^ ys;
- unsigned long long rm;
- /* shunt to top of word */
- xm <<= 64 - (DP_MBITS + 1);
- ym <<= 64 - (DP_MBITS + 1);
- /* multiply 32bits xm,ym to give high 32bits rm with stickness
- */
- /* 32 * 32 => 64 */
- #define DPXMULT(x,y) ((unsigned long long)(x) * (unsigned long long)y)
- {
- unsigned lxm = xm;
- unsigned hxm = xm >> 32;
- unsigned lym = ym;
- unsigned hym = ym >> 32;
- unsigned long long lrm;
- unsigned long long hrm;
- lrm = DPXMULT(lxm, lym);
- hrm = DPXMULT(hxm, hym);
- {
- unsigned long long t = DPXMULT(lxm, hym);
- {
- unsigned long long at =
- lrm + (t << 32);
- hrm += at < lrm;
- lrm = at;
- }
- hrm = hrm + (t >> 32);
- }
- {
- unsigned long long t = DPXMULT(hxm, lym);
- {
- unsigned long long at =
- lrm + (t << 32);
- hrm += at < lrm;
- lrm = at;
- }
- hrm = hrm + (t >> 32);
- }
- rm = hrm | (lrm != 0);
- }
- /*
- * sticky shift down to normal rounding precision
- */
- if ((signed long long) rm < 0) {
- rm =
- (rm >> (64 - (DP_MBITS + 1 + 3))) |
- ((rm << (DP_MBITS + 1 + 3)) != 0);
- re++;
- } else {
- rm =
- (rm >> (64 - (DP_MBITS + 1 + 3 + 1))) |
- ((rm << (DP_MBITS + 1 + 3 + 1)) != 0);
- }
- assert(rm & (DP_HIDDEN_BIT << 3));
- DPNORMRET2(rs, re, rm, "mul", x, y);
- }
- }