/* 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_sub(union ieee754dp x, union ieee754dp y) { int s; 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_INF): if (xs != ys) return x; ieee754_setcx(IEEE754_INVALID_OPERATION); return ieee754dp_indef(); case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF): case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF): case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF): return ieee754dp_inf(ys ^ 1); case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO): case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM): case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM): return x; /* * Zero handling */ case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO): if (xs != ys) return x; else return ieee754dp_zero(ieee754_csr.rm == IEEE754_RD); case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO): case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO): return x; case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM): case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM): /* quick fix up */ DPSIGN(y) ^= 1; return y; case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM): DPDNORMX; /* FALL THROUGH */ case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM): /* normalize ym,ye */ DPDNORMY; break; case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM): /* normalize xm,xe */ DPDNORMX; break; case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM): break; } /* flip sign of y and handle as add */ ys ^= 1; assert(xm & DP_HIDDEN_BIT); assert(ym & DP_HIDDEN_BIT); /* provide guard,round and stick bit dpace */ xm <<= 3; ym <<= 3; if (xe > ye) { /* * Have to shift y fraction right to align */ s = xe - ye; ym = XDPSRS(ym, s); ye += s; } else if (ye > xe) { /* * Have to shift x fraction right to align */ s = ye - xe; xm = XDPSRS(xm, s); xe += s; } assert(xe == ye); assert(xe <= DP_EMAX); if (xs == ys) { /* generate 28 bit result of adding two 27 bit numbers */ xm = xm + ym; xe = xe; xs = xs; if (xm >> (DP_FBITS + 1 + 3)) { /* carry out */ xm = XDPSRS1(xm); /* shift preserving sticky */ xe++; } } else { if (xm >= ym) { xm = xm - ym; xe = xe; xs = xs; } else { xm = ym - xm; xe = xe; xs = ys; } if (xm == 0) { if (ieee754_csr.rm == IEEE754_RD) return ieee754dp_zero(1); /* round negative inf. => sign = -1 */ else return ieee754dp_zero(0); /* other round modes => sign = 1 */ } /* normalize to rounding precision */ while ((xm >> (DP_FBITS + 3)) == 0) { xm <<= 1; xe--; } } return ieee754dp_format(xs, xe, xm); }