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											2005-04-16 15:20:36 -07:00
										 |  |  | /* 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., | 
					
						
							|  |  |  |  *  59 Temple Place - Suite 330, Boston MA 02111-1307, USA. | 
					
						
							|  |  |  |  * | 
					
						
							|  |  |  |  * ######################################################################## | 
					
						
							|  |  |  |  */ | 
					
						
							|  |  |  | 
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							|  |  |  | #include "ieee754sp.h"
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							|  |  |  | 
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							|  |  |  | ieee754sp ieee754sp_mul(ieee754sp x, ieee754sp y) | 
					
						
							|  |  |  | { | 
					
						
							|  |  |  | 	COMPXSP; | 
					
						
							|  |  |  | 	COMPYSP; | 
					
						
							|  |  |  | 
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							|  |  |  | 	EXPLODEXSP; | 
					
						
							|  |  |  | 	EXPLODEYSP; | 
					
						
							|  |  |  | 
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							|  |  |  | 	CLEARCX; | 
					
						
							|  |  |  | 
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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): | 
					
						
							|  |  |  | 		SETCX(IEEE754_INVALID_OPERATION); | 
					
						
							|  |  |  | 		return ieee754sp_nanxcpt(ieee754sp_indef(), "mul", x, y); | 
					
						
							|  |  |  | 
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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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							|  |  |  | 		/* Infinity handling */ | 
					
						
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							|  |  |  | 	case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF): | 
					
						
							|  |  |  | 		SETCX(IEEE754_INVALID_OPERATION); | 
					
						
							|  |  |  | 		return ieee754sp_xcpt(ieee754sp_indef(), "mul", x, y); | 
					
						
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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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							|  |  |  | 	{ | 
					
						
							|  |  |  | 		int re = xe + ye; | 
					
						
							|  |  |  | 		int rs = xs ^ ys; | 
					
						
							|  |  |  | 		unsigned rm; | 
					
						
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							|  |  |  | 		/* shunt to top of word */ | 
					
						
							|  |  |  | 		xm <<= 32 - (SP_MBITS + 1); | 
					
						
							|  |  |  | 		ym <<= 32 - (SP_MBITS + 1); | 
					
						
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							|  |  |  | 		/* multiply 32bits xm,ym to give high 32bits rm with stickness
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							|  |  |  | 		 */ | 
					
						
							|  |  |  | 		{ | 
					
						
							|  |  |  | 			unsigned short lxm = xm & 0xffff; | 
					
						
							|  |  |  | 			unsigned short hxm = xm >> 16; | 
					
						
							|  |  |  | 			unsigned short lym = ym & 0xffff; | 
					
						
							|  |  |  | 			unsigned short hym = ym >> 16; | 
					
						
							|  |  |  | 			unsigned lrm; | 
					
						
							|  |  |  | 			unsigned hrm; | 
					
						
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							|  |  |  | 			lrm = lxm * lym;	/* 16 * 16 => 32 */ | 
					
						
							|  |  |  | 			hrm = hxm * hym;	/* 16 * 16 => 32 */ | 
					
						
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							|  |  |  | 			{ | 
					
						
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										 |  |  | 				unsigned t = lxm * hym; /* 16 * 16 => 32 */ | 
					
						
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										 |  |  | 				{ | 
					
						
							|  |  |  | 					unsigned at = lrm + (t << 16); | 
					
						
							|  |  |  | 					hrm += at < lrm; | 
					
						
							|  |  |  | 					lrm = at; | 
					
						
							|  |  |  | 				} | 
					
						
							|  |  |  | 				hrm = hrm + (t >> 16); | 
					
						
							|  |  |  | 			} | 
					
						
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							|  |  |  | 			{ | 
					
						
							| 
									
										
										
										
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										 |  |  | 				unsigned t = hxm * lym; /* 16 * 16 => 32 */ | 
					
						
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										 |  |  | 				{ | 
					
						
							|  |  |  | 					unsigned at = lrm + (t << 16); | 
					
						
							|  |  |  | 					hrm += at < lrm; | 
					
						
							|  |  |  | 					lrm = at; | 
					
						
							|  |  |  | 				} | 
					
						
							|  |  |  | 				hrm = hrm + (t >> 16); | 
					
						
							|  |  |  | 			} | 
					
						
							|  |  |  | 			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_MBITS + 1 + 3))) | | 
					
						
							|  |  |  | 			    ((rm << (SP_MBITS + 1 + 3)) != 0); | 
					
						
							|  |  |  | 			re++; | 
					
						
							|  |  |  | 		} else { | 
					
						
							|  |  |  | 			rm = (rm >> (32 - (SP_MBITS + 1 + 3 + 1))) | | 
					
						
							|  |  |  | 			    ((rm << (SP_MBITS + 1 + 3 + 1)) != 0); | 
					
						
							|  |  |  | 		} | 
					
						
							|  |  |  | 		assert(rm & (SP_HIDDEN_BIT << 3)); | 
					
						
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							|  |  |  | 		SPNORMRET2(rs, re, rm, "mul", x, y); | 
					
						
							|  |  |  | 	} | 
					
						
							|  |  |  | } |