sp_div.c
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上传日期:2013-02-24
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- /* IEEE754 floating point arithmetic
- * single precision
- */
- /*
- * MIPS floating point support
- * Copyright (C) 1994-2000 Algorithmics Ltd. All rights reserved.
- * http://www.algor.co.uk
- *
- * ########################################################################
- *
- * 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.,
- * 59 Temple Place - Suite 330, Boston MA 02111-1307, USA.
- *
- * ########################################################################
- */
- #include "ieee754sp.h"
- ieee754sp ieee754sp_div(ieee754sp x, ieee754sp y)
- {
- COMPXSP;
- COMPYSP;
- CLEARCX;
- EXPLODEXSP;
- EXPLODEYSP;
- switch (CLPAIR(xc, yc)) {
- case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
- return ieee754sp_nanxcpt(ieee754sp_bestnan(x, y), "div", x,
- y);
- 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 ieee754sp_nanxcpt(y, "div", x, y);
- 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 ieee754sp_nanxcpt(x, "div", x, y);
- case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
- return ieee754sp_bestnan(x, y);
- 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_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 handeling
- */
- case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
- SETCX(IEEE754_INVALID_OPERATION);
- return ieee754sp_xcpt(ieee754sp_indef(), "div", x, y);
- 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 ieee754sp_zero(xs ^ ys);
- 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 ieee754sp_inf(xs ^ ys);
- /* Zero handeling
- */
- case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
- SETCX(IEEE754_INVALID_OPERATION);
- return ieee754sp_xcpt(ieee754sp_indef(), "div", x, y);
- case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
- case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
- SETCX(IEEE754_ZERO_DIVIDE);
- return ieee754sp_xcpt(ieee754sp_inf(xs ^ ys), "div", x, y);
- case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
- case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
- return ieee754sp_zero(xs == ys ? 0 : 1);
- 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;
- }
- assert(xm & SP_HIDDEN_BIT);
- assert(ym & SP_HIDDEN_BIT);
- /* provide rounding space */
- xm <<= 3;
- ym <<= 3;
- {
- /* now the dirty work */
- unsigned rm = 0;
- int re = xe - ye;
- unsigned bm;
- for (bm = SP_MBIT(SP_MBITS + 2); bm; bm >>= 1) {
- if (xm >= ym) {
- xm -= ym;
- rm |= bm;
- if (xm == 0)
- break;
- }
- xm <<= 1;
- }
- rm <<= 1;
- if (xm)
- rm |= 1; /* have remainder, set sticky */
- assert(rm);
- /* normalise rm to rounding precision ?
- */
- while ((rm >> (SP_MBITS + 3)) == 0) {
- rm <<= 1;
- re--;
- }
- SPNORMRET2(xs == ys ? 0 : 1, re, rm, "div", x, y);
- }
- }