/* 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_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): ieee754_setcx(IEEE754_INVALID_OPERATION); return ieee754dp_nanxcpt(ieee754dp_indef()); 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); }