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										 |  |  | /* IEEE754 floating point arithmetic
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							|  |  |  |  * double precision: common utilities | 
					
						
							|  |  |  |  */ | 
					
						
							|  |  |  | /*
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							|  |  |  |  * 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., | 
					
						
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										 |  |  |  *  51 Franklin St, Fifth Floor, Boston, MA  02110-1301  USA. | 
					
						
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										 |  |  |  */ | 
					
						
							|  |  |  | 
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							|  |  |  | #include "ieee754dp.h"
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							|  |  |  | 
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										 |  |  | union ieee754dp ieee754dp_mul(union ieee754dp x, union ieee754dp y) | 
					
						
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										 |  |  | { | 
					
						
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										 |  |  | 	int re; | 
					
						
							|  |  |  | 	int rs; | 
					
						
							|  |  |  | 	u64 rm; | 
					
						
							|  |  |  | 	unsigned lxm; | 
					
						
							|  |  |  | 	unsigned hxm; | 
					
						
							|  |  |  | 	unsigned lym; | 
					
						
							|  |  |  | 	unsigned hym; | 
					
						
							|  |  |  | 	u64 lrm; | 
					
						
							|  |  |  | 	u64 hrm; | 
					
						
							|  |  |  | 	u64 t; | 
					
						
							|  |  |  | 	u64 at; | 
					
						
							|  |  |  | 
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										 |  |  | 	COMPXDP; | 
					
						
							|  |  |  | 	COMPYDP; | 
					
						
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							|  |  |  | 	EXPLODEXDP; | 
					
						
							|  |  |  | 	EXPLODEYDP; | 
					
						
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										 |  |  | 	ieee754_clearcx(); | 
					
						
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							|  |  |  | 	FLUSHXDP; | 
					
						
							|  |  |  | 	FLUSHYDP; | 
					
						
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							|  |  |  | 	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): | 
					
						
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										 |  |  | 		return ieee754dp_nanxcpt(y); | 
					
						
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							|  |  |  | 	case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN): | 
					
						
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										 |  |  | 	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): | 
					
						
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										 |  |  | 		return ieee754dp_nanxcpt(x); | 
					
						
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							|  |  |  | 	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; | 
					
						
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							|  |  |  | 	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; | 
					
						
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										 |  |  | 	/*
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							|  |  |  | 	 * Infinity handling | 
					
						
							|  |  |  | 	 */ | 
					
						
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										 |  |  | 	case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF): | 
					
						
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										 |  |  | 		ieee754_setcx(IEEE754_INVALID_OPERATION); | 
					
						
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										 |  |  | 		return ieee754dp_indef(); | 
					
						
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							|  |  |  | 	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 ieee754dp_inf(xs ^ ys); | 
					
						
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							|  |  |  | 	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 ieee754dp_zero(xs ^ ys); | 
					
						
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							|  |  |  | 	case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM): | 
					
						
							|  |  |  | 		DPDNORMX; | 
					
						
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							|  |  |  | 	case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM): | 
					
						
							|  |  |  | 		DPDNORMY; | 
					
						
							|  |  |  | 		break; | 
					
						
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							|  |  |  | 	case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM): | 
					
						
							|  |  |  | 		DPDNORMX; | 
					
						
							|  |  |  | 		break; | 
					
						
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							|  |  |  | 	case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM): | 
					
						
							|  |  |  | 		break; | 
					
						
							|  |  |  | 	} | 
					
						
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										 |  |  | 	/* rm = xm * ym, re = xe+ye basically */ | 
					
						
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										 |  |  | 	assert(xm & DP_HIDDEN_BIT); | 
					
						
							|  |  |  | 	assert(ym & DP_HIDDEN_BIT); | 
					
						
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										 |  |  | 	re = xe + ye; | 
					
						
							|  |  |  | 	rs = xs ^ ys; | 
					
						
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							|  |  |  | 	/* shunt to top of word */ | 
					
						
							|  |  |  | 	xm <<= 64 - (DP_FBITS + 1); | 
					
						
							|  |  |  | 	ym <<= 64 - (DP_FBITS + 1); | 
					
						
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										 |  |  | 	/*
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							|  |  |  | 	 * Multiply 32 bits xm, ym to give high 32 bits rm with stickness. | 
					
						
							|  |  |  | 	 */ | 
					
						
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										 |  |  | 	/* 32 * 32 => 64 */ | 
					
						
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										 |  |  | #define DPXMULT(x, y)	((u64)(x) * (u64)y)
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										 |  |  | 	lxm = xm; | 
					
						
							|  |  |  | 	hxm = xm >> 32; | 
					
						
							|  |  |  | 	lym = ym; | 
					
						
							|  |  |  | 	hym = ym >> 32; | 
					
						
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							|  |  |  | 	lrm = DPXMULT(lxm, lym); | 
					
						
							|  |  |  | 	hrm = DPXMULT(hxm, hym); | 
					
						
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							|  |  |  | 	t = DPXMULT(lxm, hym); | 
					
						
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							|  |  |  | 	at = lrm + (t << 32); | 
					
						
							|  |  |  | 	hrm += at < lrm; | 
					
						
							|  |  |  | 	lrm = at; | 
					
						
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							|  |  |  | 	hrm = hrm + (t >> 32); | 
					
						
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							|  |  |  | 	t = DPXMULT(hxm, lym); | 
					
						
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							|  |  |  | 	at = lrm + (t << 32); | 
					
						
							|  |  |  | 	hrm += at < lrm; | 
					
						
							|  |  |  | 	lrm = at; | 
					
						
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							|  |  |  | 	hrm = hrm + (t >> 32); | 
					
						
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							|  |  |  | 	rm = hrm | (lrm != 0); | 
					
						
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							|  |  |  | 	/*
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							|  |  |  | 	 * Sticky shift down to normal rounding precision. | 
					
						
							|  |  |  | 	 */ | 
					
						
							|  |  |  | 	if ((s64) rm < 0) { | 
					
						
							|  |  |  | 		rm = (rm >> (64 - (DP_FBITS + 1 + 3))) | | 
					
						
							|  |  |  | 		     ((rm << (DP_FBITS + 1 + 3)) != 0); | 
					
						
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										 |  |  | 			re++; | 
					
						
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										 |  |  | 	} else { | 
					
						
							|  |  |  | 		rm = (rm >> (64 - (DP_FBITS + 1 + 3 + 1))) | | 
					
						
							|  |  |  | 		     ((rm << (DP_FBITS + 1 + 3 + 1)) != 0); | 
					
						
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										 |  |  | 	} | 
					
						
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										 |  |  | 	assert(rm & (DP_HIDDEN_BIT << 3)); | 
					
						
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							|  |  |  | 	return ieee754dp_format(rs, re, rm); | 
					
						
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										 |  |  | } |