123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175 |
- /* IEEE754 floating point arithmetic
- * double precision: common utilities
- */
- /*
- * MIPS floating point support
- * Copyright (C) 1994-2000 Algorithmics Ltd.
- *
- * 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.,
- * 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
- */
- #include "ieee754dp.h"
- union ieee754dp ieee754dp_mul(union ieee754dp x, union ieee754dp y)
- {
- int re;
- int rs;
- u64 rm;
- unsigned lxm;
- unsigned hxm;
- unsigned lym;
- unsigned hym;
- u64 lrm;
- u64 hrm;
- u64 t;
- u64 at;
- COMPXDP;
- COMPYDP;
- EXPLODEXDP;
- EXPLODEYDP;
- ieee754_clearcx();
- FLUSHXDP;
- FLUSHYDP;
- switch (CLPAIR(xc, yc)) {
- 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);
- case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
- 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);
- 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 handling
- */
- case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
- case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
- ieee754_setcx(IEEE754_INVALID_OPERATION);
- return ieee754dp_indef();
- 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 basically */
- assert(xm & DP_HIDDEN_BIT);
- assert(ym & DP_HIDDEN_BIT);
- re = xe + ye;
- rs = xs ^ ys;
- /* shunt to top of word */
- xm <<= 64 - (DP_FBITS + 1);
- ym <<= 64 - (DP_FBITS + 1);
- /*
- * Multiply 32 bits xm, ym to give high 32 bits rm with stickness.
- */
- /* 32 * 32 => 64 */
- #define DPXMULT(x, y) ((u64)(x) * (u64)y)
- lxm = xm;
- hxm = xm >> 32;
- lym = ym;
- hym = ym >> 32;
- lrm = DPXMULT(lxm, lym);
- hrm = DPXMULT(hxm, hym);
- t = DPXMULT(lxm, hym);
- at = lrm + (t << 32);
- hrm += at < lrm;
- lrm = at;
- hrm = hrm + (t >> 32);
- t = DPXMULT(hxm, lym);
- 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 ((s64) rm < 0) {
- rm = (rm >> (64 - (DP_FBITS + 1 + 3))) |
- ((rm << (DP_FBITS + 1 + 3)) != 0);
- re++;
- } else {
- rm = (rm >> (64 - (DP_FBITS + 1 + 3 + 1))) |
- ((rm << (DP_FBITS + 1 + 3 + 1)) != 0);
- }
- assert(rm & (DP_HIDDEN_BIT << 3));
- return ieee754dp_format(rs, re, rm);
- }
|