2005-04-16 15:20:36 -07:00
										 
									 
								 
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								/* IEEE754 floating point arithmetic
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								 * single precision
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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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								 *  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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											2014-04-26 01:49:14 +02:00
										 
									 
								 
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								 *  51 Franklin St, Fifth Floor, Boston, MA  02110-1301  USA.
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											2005-04-16 15:20:36 -07:00
										 
									 
								 
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								 */
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								#include "ieee754sp.h"
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											2014-04-16 01:31:11 +02:00
										 
									 
								 
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								union ieee754sp ieee754sp_add(union ieee754sp x, union ieee754sp y)
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											2005-04-16 15:20:36 -07:00
										 
									 
								 
							 | 
							
								
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								{
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											2014-04-26 01:49:14 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
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							 | 
							
							
									int s;
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											2005-04-16 15:20:36 -07:00
										 
									 
								 
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									COMPXSP;
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									COMPYSP;
							 | 
						
					
						
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									EXPLODEXSP;
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									EXPLODEYSP;
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											2014-04-19 00:36:32 +02:00
										 
									 
								 
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							 | 
							
							
									ieee754_clearcx();
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											2005-04-16 15:20:36 -07:00
										 
									 
								 
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									FLUSHXSP;
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									FLUSHYSP;
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									switch (CLPAIR(xc, yc)) {
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							 | 
							
							
									case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
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							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
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							 | 
							
								
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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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											2015-04-03 23:25:34 +01:00
										 
									 
								 
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										return ieee754sp_nanxcpt(y);
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									case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
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							 | 
							
								
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							 | 
							
							
									case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
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											2005-04-16 15:20:36 -07:00
										 
									 
								 
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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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											2015-04-03 23:25:34 +01:00
										 
									 
								 
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										return ieee754sp_nanxcpt(x);
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											2005-04-16 15:20:36 -07:00
										 
									 
								 
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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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							 | 
							
								
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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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											2014-04-26 01:49:14 +02:00
										 
									 
								 
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									/*
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									 * Infinity handling
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									 */
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											2005-04-16 15:20:36 -07:00
										 
									 
								 
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									case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
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										if (xs == ys)
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											return x;
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											2014-04-19 00:36:32 +02:00
										 
									 
								 
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										ieee754_setcx(IEEE754_INVALID_OPERATION);
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											2014-04-25 03:19:57 +02:00
										 
									 
								 
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										return ieee754sp_indef();
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											2005-04-16 15:20:36 -07:00
										 
									 
								 
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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 y;
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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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							| 
								
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							 | 
							
							
										return x;
							 | 
						
					
						
							| 
								
							 | 
							
								
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							 | 
							
							
								
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											2014-04-26 01:49:14 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									/*
							 | 
						
					
						
							| 
								
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							 | 
							
							
									 * Zero handling
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							 | 
							
							
									 */
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											2005-04-16 15:20:36 -07:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
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									case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										if (xs == ys)
							 | 
						
					
						
							| 
								
							 | 
							
								
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							 | 
							
							
											return x;
							 | 
						
					
						
							| 
								
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										else
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											2014-04-30 11:21:55 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
											return ieee754sp_zero(ieee754_csr.rm == FPU_CSR_RD);
							 | 
						
					
						
							
								
									
										
										
										
											2005-04-16 15:20:36 -07:00
										 
									 
								 
							 | 
							
								
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							 | 
						
					
						
							| 
								
							 | 
							
								
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									case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										return x;
							 | 
						
					
						
							| 
								
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							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										return y;
							 | 
						
					
						
							| 
								
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							 | 
						
					
						
							| 
								
							 | 
							
								
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							 | 
							
							
									case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										SPDNORMX;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2014-04-26 01:49:14 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										/* FALL THROUGH */
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
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							 | 
						
					
						
							
								
									
										
										
										
											2005-04-16 15:20:36 -07:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
									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);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2014-04-26 01:49:14 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
									/*
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									 * Provide guard, round and stick bit space.
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									 */
							 | 
						
					
						
							
								
									
										
										
										
											2005-04-16 15:20:36 -07:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
									xm <<= 3;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									ym <<= 3;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									if (xe > ye) {
							 | 
						
					
						
							
								
									
										
										
										
											2014-04-26 01:49:14 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										/*
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										 * Have to shift y fraction right to align.
							 | 
						
					
						
							
								
									
										
										
										
											2005-04-16 15:20:36 -07:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
										 */
							 | 
						
					
						
							
								
									
										
										
										
											2014-04-26 01:49:14 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										s = xe - ye;
							 | 
						
					
						
							
								
									
										
										
										
											2005-04-16 15:20:36 -07:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
										SPXSRSYn(s);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									} else if (ye > xe) {
							 | 
						
					
						
							
								
									
										
										
										
											2014-04-26 01:49:14 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										/*
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										 * Have to shift x fraction right to align.
							 | 
						
					
						
							
								
									
										
										
										
											2005-04-16 15:20:36 -07:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
										 */
							 | 
						
					
						
							
								
									
										
										
										
											2014-04-26 01:49:14 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										s = ye - xe;
							 | 
						
					
						
							
								
									
										
										
										
											2005-04-16 15:20:36 -07:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
										SPXSRSXn(s);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									assert(xe == ye);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									assert(xe <= SP_EMAX);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									if (xs == ys) {
							 | 
						
					
						
							
								
									
										
										
										
											2014-04-26 01:49:14 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										/*
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										 * Generate 28 bit result of adding two 27 bit numbers
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										 * leaving result in xm, xs and xe.
							 | 
						
					
						
							
								
									
										
										
										
											2005-04-16 15:20:36 -07:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
										 */
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										xm = xm + ym;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2014-04-22 15:51:55 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										if (xm >> (SP_FBITS + 1 + 3)) { /* carry out */
							 | 
						
					
						
							
								
									
										
										
										
											2005-04-16 15:20:36 -07:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
											SPXSRSX1();
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									} else {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										if (xm >= ym) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
											xm = xm - ym;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										} else {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
											xm = ym - xm;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
											xs = ys;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										if (xm == 0)
							 | 
						
					
						
							
								
									
										
										
										
											2014-04-30 11:21:55 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
											return ieee754sp_zero(ieee754_csr.rm == FPU_CSR_RD);
							 | 
						
					
						
							
								
									
										
										
										
											2005-04-16 15:20:36 -07:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2014-04-26 01:49:14 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										/*
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										 * Normalize in extended single precision
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										 */
							 | 
						
					
						
							
								
									
										
										
										
											2014-04-22 15:51:55 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
										while ((xm >> (SP_FBITS + 3)) == 0) {
							 | 
						
					
						
							
								
									
										
										
										
											2005-04-16 15:20:36 -07:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
											xm <<= 1;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
											xe--;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
										}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									}
							 | 
						
					
						
							
								
									
										
										
										
											2014-04-25 03:19:57 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
									return ieee754sp_format(xs, xe, xm);
							 | 
						
					
						
							
								
									
										
										
										
											2005-04-16 15:20:36 -07:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								}
							 |