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										 |  |  | /* IEEE754 floating point arithmetic
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							|  |  |  |  * single precision | 
					
						
							|  |  |  |  */ | 
					
						
							|  |  |  | /*
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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 "ieee754sp.h"
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							|  |  |  | 
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										 |  |  | union ieee754sp ieee754sp_mul(union ieee754sp x, union ieee754sp y) | 
					
						
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										 |  |  | { | 
					
						
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										 |  |  | 	int re; | 
					
						
							|  |  |  | 	int rs; | 
					
						
							|  |  |  | 	unsigned rm; | 
					
						
							|  |  |  | 	unsigned short lxm; | 
					
						
							|  |  |  | 	unsigned short hxm; | 
					
						
							|  |  |  | 	unsigned short lym; | 
					
						
							|  |  |  | 	unsigned short hym; | 
					
						
							|  |  |  | 	unsigned lrm; | 
					
						
							|  |  |  | 	unsigned hrm; | 
					
						
							|  |  |  | 	unsigned t; | 
					
						
							|  |  |  | 	unsigned at; | 
					
						
							|  |  |  | 
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										 |  |  | 	COMPXSP; | 
					
						
							|  |  |  | 	COMPYSP; | 
					
						
							|  |  |  | 
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							|  |  |  | 	EXPLODEXSP; | 
					
						
							|  |  |  | 	EXPLODEYSP; | 
					
						
							|  |  |  | 
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										 |  |  | 	ieee754_clearcx(); | 
					
						
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										 |  |  | 
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							|  |  |  | 	FLUSHXSP; | 
					
						
							|  |  |  | 	FLUSHYSP; | 
					
						
							|  |  |  | 
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							|  |  |  | 	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): | 
					
						
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										 |  |  | 		ieee754_setcx(IEEE754_INVALID_OPERATION); | 
					
						
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										 |  |  | 		return ieee754sp_nanxcpt(ieee754sp_indef()); | 
					
						
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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 ieee754sp_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 ieee754sp_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 ieee754sp_zero(xs ^ ys); | 
					
						
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							|  |  |  | 	case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM): | 
					
						
							|  |  |  | 		SPDNORMX; | 
					
						
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							|  |  |  | 	case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM): | 
					
						
							|  |  |  | 		SPDNORMY; | 
					
						
							|  |  |  | 		break; | 
					
						
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							|  |  |  | 	case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM): | 
					
						
							|  |  |  | 		SPDNORMX; | 
					
						
							|  |  |  | 		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 & SP_HIDDEN_BIT); | 
					
						
							|  |  |  | 	assert(ym & SP_HIDDEN_BIT); | 
					
						
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										 |  |  | 	re = xe + ye; | 
					
						
							|  |  |  | 	rs = xs ^ ys; | 
					
						
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							|  |  |  | 	/* shunt to top of word */ | 
					
						
							|  |  |  | 	xm <<= 32 - (SP_FBITS + 1); | 
					
						
							|  |  |  | 	ym <<= 32 - (SP_FBITS + 1); | 
					
						
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							|  |  |  | 	/*
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							|  |  |  | 	 * Multiply 32 bits xm, ym to give high 32 bits rm with stickness. | 
					
						
							|  |  |  | 	 */ | 
					
						
							|  |  |  | 	lxm = xm & 0xffff; | 
					
						
							|  |  |  | 	hxm = xm >> 16; | 
					
						
							|  |  |  | 	lym = ym & 0xffff; | 
					
						
							|  |  |  | 	hym = ym >> 16; | 
					
						
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							|  |  |  | 	lrm = lxm * lym;	/* 16 * 16 => 32 */ | 
					
						
							|  |  |  | 	hrm = hxm * hym;	/* 16 * 16 => 32 */ | 
					
						
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							|  |  |  | 	t = lxm * hym; /* 16 * 16 => 32 */ | 
					
						
							|  |  |  | 	at = lrm + (t << 16); | 
					
						
							|  |  |  | 	hrm += at < lrm; | 
					
						
							|  |  |  | 	lrm = at; | 
					
						
							|  |  |  | 	hrm = hrm + (t >> 16); | 
					
						
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							|  |  |  | 	t = hxm * lym; /* 16 * 16 => 32 */ | 
					
						
							|  |  |  | 	at = lrm + (t << 16); | 
					
						
							|  |  |  | 	hrm += at < lrm; | 
					
						
							|  |  |  | 	lrm = at; | 
					
						
							|  |  |  | 	hrm = hrm + (t >> 16); | 
					
						
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							|  |  |  | 	rm = hrm | (lrm != 0); | 
					
						
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							|  |  |  | 	/*
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							|  |  |  | 	 * Sticky shift down to normal rounding precision. | 
					
						
							|  |  |  | 	 */ | 
					
						
							|  |  |  | 	if ((int) rm < 0) { | 
					
						
							|  |  |  | 		rm = (rm >> (32 - (SP_FBITS + 1 + 3))) | | 
					
						
							|  |  |  | 		    ((rm << (SP_FBITS + 1 + 3)) != 0); | 
					
						
							|  |  |  | 		re++; | 
					
						
							|  |  |  | 	} else { | 
					
						
							|  |  |  | 		rm = (rm >> (32 - (SP_FBITS + 1 + 3 + 1))) | | 
					
						
							|  |  |  | 		     ((rm << (SP_FBITS + 1 + 3 + 1)) != 0); | 
					
						
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										 |  |  | 	} | 
					
						
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										 |  |  | 	assert(rm & (SP_HIDDEN_BIT << 3)); | 
					
						
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							|  |  |  | 	return ieee754sp_format(rs, re, rm); | 
					
						
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										 |  |  | } |