157 lines
		
	
	
	
		
			4.2 KiB
			
		
	
	
	
		
			C
		
	
	
	
	
	
		
		
			
		
	
	
			157 lines
		
	
	
	
		
			4.2 KiB
			
		
	
	
	
		
			C
		
	
	
	
	
	
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								/* IEEE754 floating point arithmetic
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								 * double precision: common utilities
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								 */
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								/*
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								 * MIPS floating point support
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								 * Copyright (C) 1994-2000 Algorithmics Ltd.
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								 *
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								 * ########################################################################
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								 *
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								 *  This program is free software; you can distribute it and/or modify it
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								 *  under the terms of the GNU General Public License (Version 2) as
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								 *  published by the Free Software Foundation.
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								 *
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								 *  This program is distributed in the hope it will be useful, but WITHOUT
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								 *  ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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								 *  FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
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								 *  for more details.
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								 *
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								 *  You should have received a copy of the GNU General Public License along
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								 *  with this program; if not, write to the Free Software Foundation, Inc.,
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								 *  59 Temple Place - Suite 330, Boston MA 02111-1307, USA.
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								 *
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								 * ########################################################################
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								 */
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								#include "ieee754dp.h"
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								ieee754dp ieee754dp_div(ieee754dp x, ieee754dp y)
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								{
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									COMPXDP;
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									COMPYDP;
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									EXPLODEXDP;
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									EXPLODEYDP;
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									CLEARCX;
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									FLUSHXDP;
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									FLUSHYDP;
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									switch (CLPAIR(xc, yc)) {
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									case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
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									case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
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									case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
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									case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
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									case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
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									case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
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									case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
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									case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
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									case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
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									case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
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									case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
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										SETCX(IEEE754_INVALID_OPERATION);
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										return ieee754dp_nanxcpt(ieee754dp_indef(), "div", x, y);
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									case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
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									case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
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									case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
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									case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
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										return y;
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									case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
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									case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
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									case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
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									case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
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									case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
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										return x;
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										/* Infinity handling
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										 */
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									case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
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										SETCX(IEEE754_INVALID_OPERATION);
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										return ieee754dp_xcpt(ieee754dp_indef(), "div", x, y);
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									case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
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									case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
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									case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
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										return ieee754dp_zero(xs ^ ys);
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									case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
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									case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
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									case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
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										return ieee754dp_inf(xs ^ ys);
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										/* Zero handling
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										 */
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									case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
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										SETCX(IEEE754_INVALID_OPERATION);
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										return ieee754dp_xcpt(ieee754dp_indef(), "div", x, y);
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									case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
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									case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
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										SETCX(IEEE754_ZERO_DIVIDE);
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										return ieee754dp_xcpt(ieee754dp_inf(xs ^ ys), "div", x, y);
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									case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
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									case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
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										return ieee754dp_zero(xs == ys ? 0 : 1);
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									case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
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										DPDNORMX;
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									case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
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										DPDNORMY;
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										break;
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									case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
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										DPDNORMX;
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										break;
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									case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
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										break;
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									}
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									assert(xm & DP_HIDDEN_BIT);
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									assert(ym & DP_HIDDEN_BIT);
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									/* provide rounding space */
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									xm <<= 3;
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									ym <<= 3;
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									{
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										/* now the dirty work */
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										u64 rm = 0;
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										int re = xe - ye;
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										u64 bm;
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										for (bm = DP_MBIT(DP_MBITS + 2); bm; bm >>= 1) {
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											if (xm >= ym) {
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												xm -= ym;
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												rm |= bm;
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												if (xm == 0)
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													break;
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											}
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											xm <<= 1;
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										}
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										rm <<= 1;
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										if (xm)
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											rm |= 1;	/* have remainder, set sticky */
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										assert(rm);
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										/* normalise rm to rounding precision ?
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										 */
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										while ((rm >> (DP_MBITS + 3)) == 0) {
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											rm <<= 1;
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											re--;
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										}
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										DPNORMRET2(xs == ys ? 0 : 1, re, rm, "div", x, y);
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									}
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								}
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