/* IEEE754 floating point arithmetic * single precision */ /* * 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 "ieee754sp.h" union ieee754sp ieee754sp_mul(union ieee754sp x, union ieee754sp y) { int re; int rs; unsigned rm; unsigned short lxm; unsigned short hxm; unsigned short lym; unsigned short hym; unsigned lrm; unsigned hrm; unsigned t; unsigned at; COMPXSP; COMPYSP; EXPLODEXSP; EXPLODEYSP; ieee754_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): ieee754_setcx(IEEE754_INVALID_OPERATION); return ieee754sp_nanxcpt(ieee754sp_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 ieee754sp_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 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 basically */ assert(xm & SP_HIDDEN_BIT); assert(ym & SP_HIDDEN_BIT); re = xe + ye; rs = xs ^ ys; /* shunt to top of word */ xm <<= 32 - (SP_FBITS + 1); ym <<= 32 - (SP_FBITS + 1); /* * Multiply 32 bits xm, ym to give high 32 bits rm with stickness. */ lxm = xm & 0xffff; hxm = xm >> 16; lym = ym & 0xffff; hym = ym >> 16; lrm = lxm * lym; /* 16 * 16 => 32 */ hrm = hxm * hym; /* 16 * 16 => 32 */ t = lxm * hym; /* 16 * 16 => 32 */ at = lrm + (t << 16); hrm += at < lrm; lrm = at; hrm = hrm + (t >> 16); t = hxm * lym; /* 16 * 16 => 32 */ 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_FBITS + 1 + 3))) | ((rm << (SP_FBITS + 1 + 3)) != 0); re++; } else { rm = (rm >> (32 - (SP_FBITS + 1 + 3 + 1))) | ((rm << (SP_FBITS + 1 + 3 + 1)) != 0); } assert(rm & (SP_HIDDEN_BIT << 3)); return ieee754sp_format(rs, re, rm); }