| /* 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_add(union ieee754dp x, union ieee754dp y) |
| { |
| int s; |
| |
| 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_INF): |
| if (xs == ys) |
| return x; |
| ieee754_setcx(IEEE754_INVALID_OPERATION); |
| return ieee754dp_indef(); |
| |
| case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF): |
| case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF): |
| case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF): |
| return y; |
| |
| 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 == FPU_CSR_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): |
| return y; |
| |
| case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM): |
| DPDNORMX; |
| /* fall through */ |
| |
| 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; |
| } |
| assert(xm & DP_HIDDEN_BIT); |
| assert(ym & DP_HIDDEN_BIT); |
| |
| /* |
| * Provide guard,round and stick bit space. |
| */ |
| 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 |
| * leaving result in xm, xs and xe. |
| */ |
| xm = xm + ym; |
| |
| if (xm >> (DP_FBITS + 1 + 3)) { /* carry out */ |
| xm = XDPSRS1(xm); |
| xe++; |
| } |
| } else { |
| if (xm >= ym) { |
| xm = xm - ym; |
| } else { |
| xm = ym - xm; |
| xs = ys; |
| } |
| if (xm == 0) |
| return ieee754dp_zero(ieee754_csr.rm == FPU_CSR_RD); |
| |
| /* |
| * Normalize to rounding precision. |
| */ |
| while ((xm >> (DP_FBITS + 3)) == 0) { |
| xm <<= 1; |
| xe--; |
| } |
| } |
| |
| return ieee754dp_format(xs, xe, xm); |
| } |