sp_mul.c
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上传日期:2013-04-10
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- /* IEEE754 floating point arithmetic
- * single precision
- */
- /*
- * 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 "ieee754sp.h"
- ieee754sp ieee754sp_mul(ieee754sp x, ieee754sp y)
- {
- COMPXSP;
- COMPYSP;
- EXPLODEXSP;
- EXPLODEYSP;
- CLEARCX;
- FLUSHXSP;
- FLUSHYSP;
- switch (CLPAIR(xc, yc)) {
- case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
- case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
- case CLPAIR(IEEE754_CLASS_SNAN, 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):
- 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):
- SETCX(IEEE754_INVALID_OPERATION);
- return ieee754sp_nanxcpt(ieee754sp_indef(), "mul", 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_QNAN):
- 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 ieee754sp_xcpt(ieee754sp_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 ieee754sp_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 ieee754sp_zero(xs ^ ys);
- case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
- SPDNORMX;
- case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
- SPDNORMY;
- break;
- case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
- SPDNORMX;
- break;
- case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
- break;
- }
- /* rm = xm * ym, re = xe+ye basicly */
- assert(xm & SP_HIDDEN_BIT);
- assert(ym & SP_HIDDEN_BIT);
- {
- int re = xe + ye;
- int rs = xs ^ ys;
- unsigned rm;
- /* shunt to top of word */
- xm <<= 32 - (SP_MBITS + 1);
- ym <<= 32 - (SP_MBITS + 1);
- /* multiply 32bits xm,ym to give high 32bits rm with stickness
- */
- {
- unsigned short lxm = xm & 0xffff;
- unsigned short hxm = xm >> 16;
- unsigned short lym = ym & 0xffff;
- unsigned short hym = ym >> 16;
- unsigned lrm;
- unsigned hrm;
- lrm = lxm * lym; /* 16 * 16 => 32 */
- hrm = hxm * hym; /* 16 * 16 => 32 */
- {
- unsigned t = lxm * hym; /* 16 * 16 => 32 */
- {
- unsigned at = lrm + (t << 16);
- hrm += at < lrm;
- lrm = at;
- }
- hrm = hrm + (t >> 16);
- }
- {
- unsigned t = hxm * lym; /* 16 * 16 => 32 */
- {
- unsigned at = lrm + (t << 16);
- hrm += at < lrm;
- lrm = at;
- }
- hrm = hrm + (t >> 16);
- }
- rm = hrm | (lrm != 0);
- }
- /*
- * sticky shift down to normal rounding precision
- */
- if ((int) rm < 0) {
- rm = (rm >> (32 - (SP_MBITS + 1 + 3))) |
- ((rm << (SP_MBITS + 1 + 3)) != 0);
- re++;
- } else {
- rm = (rm >> (32 - (SP_MBITS + 1 + 3 + 1))) |
- ((rm << (SP_MBITS + 1 + 3 + 1)) != 0);
- }
- assert(rm & (SP_HIDDEN_BIT << 3));
- SPNORMRET2(rs, re, rm, "mul", x, y);
- }
- }