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											2005-04-16 15:20:36 -07:00
										 |  |  | /*
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							|  |  |  |  * Linux/PA-RISC Project (http://www.parisc-linux.org/)
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							|  |  |  |  * | 
					
						
							|  |  |  |  * Floating-point emulation code | 
					
						
							|  |  |  |  *  Copyright (C) 2001 Hewlett-Packard (Paul Bame) <bame@debian.org> | 
					
						
							|  |  |  |  * | 
					
						
							|  |  |  |  *    This program is free software; you can redistribute it and/or modify | 
					
						
							|  |  |  |  *    it under the terms of the GNU General Public License as published by | 
					
						
							|  |  |  |  *    the Free Software Foundation; either version 2, or (at your option) | 
					
						
							|  |  |  |  *    any later version. | 
					
						
							|  |  |  |  * | 
					
						
							|  |  |  |  *    This program is distributed in the hope that 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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							|  |  |  |  * BEGIN_DESC | 
					
						
							|  |  |  |  * | 
					
						
							|  |  |  |  *  File: | 
					
						
							|  |  |  |  *	@(#)	pa/spmath/sfsqrt.c		$Revision: 1.1 $ | 
					
						
							|  |  |  |  * | 
					
						
							|  |  |  |  *  Purpose: | 
					
						
							|  |  |  |  *	Single Floating-point Square Root | 
					
						
							|  |  |  |  * | 
					
						
							|  |  |  |  *  External Interfaces: | 
					
						
							|  |  |  |  *	sgl_fsqrt(srcptr,nullptr,dstptr,status) | 
					
						
							|  |  |  |  * | 
					
						
							|  |  |  |  *  Internal Interfaces: | 
					
						
							|  |  |  |  * | 
					
						
							|  |  |  |  *  Theory: | 
					
						
							|  |  |  |  *	<<please update with a overview of the operation of this file>> | 
					
						
							|  |  |  |  * | 
					
						
							|  |  |  |  * END_DESC | 
					
						
							|  |  |  | */ | 
					
						
							|  |  |  | 
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							|  |  |  | 
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							|  |  |  | #include "float.h"
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							|  |  |  | #include "sgl_float.h"
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							|  |  |  | 
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							|  |  |  | /*
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							|  |  |  |  *  Single Floating-point Square Root | 
					
						
							|  |  |  |  */ | 
					
						
							|  |  |  | 
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							|  |  |  | /*ARGSUSED*/ | 
					
						
							|  |  |  | unsigned int | 
					
						
							|  |  |  | sgl_fsqrt( | 
					
						
							|  |  |  |     sgl_floating_point *srcptr, | 
					
						
							|  |  |  |     unsigned int *nullptr, | 
					
						
							|  |  |  |     sgl_floating_point *dstptr, | 
					
						
							|  |  |  |     unsigned int *status) | 
					
						
							|  |  |  | { | 
					
						
							|  |  |  | 	register unsigned int src, result; | 
					
						
							|  |  |  | 	register int src_exponent; | 
					
						
							|  |  |  | 	register unsigned int newbit, sum; | 
					
						
							|  |  |  | 	register boolean guardbit = FALSE, even_exponent; | 
					
						
							|  |  |  | 
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							|  |  |  | 	src = *srcptr; | 
					
						
							|  |  |  |         /*
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							|  |  |  |          * check source operand for NaN or infinity | 
					
						
							|  |  |  |          */ | 
					
						
							|  |  |  |         if ((src_exponent = Sgl_exponent(src)) == SGL_INFINITY_EXPONENT) { | 
					
						
							|  |  |  |                 /*
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							|  |  |  |                  * is signaling NaN? | 
					
						
							|  |  |  |                  */ | 
					
						
							|  |  |  |                 if (Sgl_isone_signaling(src)) { | 
					
						
							|  |  |  |                         /* trap if INVALIDTRAP enabled */ | 
					
						
							|  |  |  |                         if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); | 
					
						
							|  |  |  |                         /* make NaN quiet */ | 
					
						
							|  |  |  |                         Set_invalidflag(); | 
					
						
							|  |  |  |                         Sgl_set_quiet(src); | 
					
						
							|  |  |  |                 } | 
					
						
							|  |  |  |                 /*
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							|  |  |  |                  * Return quiet NaN or positive infinity. | 
					
						
							| 
									
										
										
										
											2007-05-11 20:42:34 +01:00
										 |  |  | 		 *  Fall through to negative test if negative infinity. | 
					
						
							| 
									
										
										
										
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										 |  |  |                  */ | 
					
						
							|  |  |  | 		if (Sgl_iszero_sign(src) || Sgl_isnotzero_mantissa(src)) { | 
					
						
							|  |  |  |                 	*dstptr = src; | 
					
						
							|  |  |  |                 	return(NOEXCEPTION); | 
					
						
							|  |  |  | 		} | 
					
						
							|  |  |  |         } | 
					
						
							|  |  |  | 
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							|  |  |  |         /*
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							|  |  |  |          * check for zero source operand | 
					
						
							|  |  |  |          */ | 
					
						
							|  |  |  | 	if (Sgl_iszero_exponentmantissa(src)) { | 
					
						
							|  |  |  | 		*dstptr = src; | 
					
						
							|  |  |  | 		return(NOEXCEPTION); | 
					
						
							|  |  |  | 	} | 
					
						
							|  |  |  | 
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							|  |  |  |         /*
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							|  |  |  |          * check for negative source operand  | 
					
						
							|  |  |  |          */ | 
					
						
							|  |  |  | 	if (Sgl_isone_sign(src)) { | 
					
						
							|  |  |  | 		/* trap if INVALIDTRAP enabled */ | 
					
						
							|  |  |  | 		if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); | 
					
						
							|  |  |  | 		/* make NaN quiet */ | 
					
						
							|  |  |  | 		Set_invalidflag(); | 
					
						
							|  |  |  | 		Sgl_makequietnan(src); | 
					
						
							|  |  |  | 		*dstptr = src; | 
					
						
							|  |  |  | 		return(NOEXCEPTION); | 
					
						
							|  |  |  | 	} | 
					
						
							|  |  |  | 
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							|  |  |  | 	/*
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							|  |  |  | 	 * Generate result | 
					
						
							|  |  |  | 	 */ | 
					
						
							|  |  |  | 	if (src_exponent > 0) { | 
					
						
							|  |  |  | 		even_exponent = Sgl_hidden(src); | 
					
						
							|  |  |  | 		Sgl_clear_signexponent_set_hidden(src); | 
					
						
							|  |  |  | 	} | 
					
						
							|  |  |  | 	else { | 
					
						
							|  |  |  | 		/* normalize operand */ | 
					
						
							|  |  |  | 		Sgl_clear_signexponent(src); | 
					
						
							|  |  |  | 		src_exponent++; | 
					
						
							|  |  |  | 		Sgl_normalize(src,src_exponent); | 
					
						
							|  |  |  | 		even_exponent = src_exponent & 1; | 
					
						
							|  |  |  | 	} | 
					
						
							|  |  |  | 	if (even_exponent) { | 
					
						
							|  |  |  | 		/* exponent is even */ | 
					
						
							|  |  |  | 		/* Add comment here.  Explain why odd exponent needs correction */ | 
					
						
							|  |  |  | 		Sgl_leftshiftby1(src); | 
					
						
							|  |  |  | 	} | 
					
						
							|  |  |  | 	/*
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							|  |  |  | 	 * Add comment here.  Explain following algorithm. | 
					
						
							|  |  |  | 	 *  | 
					
						
							|  |  |  | 	 * Trust me, it works. | 
					
						
							|  |  |  | 	 * | 
					
						
							|  |  |  | 	 */ | 
					
						
							|  |  |  | 	Sgl_setzero(result); | 
					
						
							|  |  |  | 	newbit = 1 << SGL_P; | 
					
						
							|  |  |  | 	while (newbit && Sgl_isnotzero(src)) { | 
					
						
							|  |  |  | 		Sgl_addition(result,newbit,sum); | 
					
						
							|  |  |  | 		if(sum <= Sgl_all(src)) { | 
					
						
							|  |  |  | 			/* update result */ | 
					
						
							|  |  |  | 			Sgl_addition(result,(newbit<<1),result); | 
					
						
							|  |  |  | 			Sgl_subtract(src,sum,src); | 
					
						
							|  |  |  | 		} | 
					
						
							|  |  |  | 		Sgl_rightshiftby1(newbit); | 
					
						
							|  |  |  | 		Sgl_leftshiftby1(src); | 
					
						
							|  |  |  | 	} | 
					
						
							|  |  |  | 	/* correct exponent for pre-shift */ | 
					
						
							|  |  |  | 	if (even_exponent) { | 
					
						
							|  |  |  | 		Sgl_rightshiftby1(result); | 
					
						
							|  |  |  | 	} | 
					
						
							|  |  |  | 
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							|  |  |  | 	/* check for inexact */ | 
					
						
							|  |  |  | 	if (Sgl_isnotzero(src)) { | 
					
						
							|  |  |  | 		if (!even_exponent && Sgl_islessthan(result,src))  | 
					
						
							|  |  |  | 			Sgl_increment(result); | 
					
						
							|  |  |  | 		guardbit = Sgl_lowmantissa(result); | 
					
						
							|  |  |  | 		Sgl_rightshiftby1(result); | 
					
						
							|  |  |  | 
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							|  |  |  | 		/*  now round result  */ | 
					
						
							|  |  |  | 		switch (Rounding_mode()) { | 
					
						
							|  |  |  | 		case ROUNDPLUS: | 
					
						
							|  |  |  | 		     Sgl_increment(result); | 
					
						
							|  |  |  | 		     break; | 
					
						
							|  |  |  | 		case ROUNDNEAREST: | 
					
						
							|  |  |  | 		     /* stickybit is always true, so guardbit 
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							|  |  |  | 		      * is enough to determine rounding */ | 
					
						
							|  |  |  | 		     if (guardbit) { | 
					
						
							|  |  |  | 			Sgl_increment(result); | 
					
						
							|  |  |  | 		     } | 
					
						
							|  |  |  | 		     break; | 
					
						
							|  |  |  | 		} | 
					
						
							|  |  |  | 		/* increment result exponent by 1 if mantissa overflowed */ | 
					
						
							|  |  |  | 		if (Sgl_isone_hiddenoverflow(result)) src_exponent+=2; | 
					
						
							|  |  |  | 
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							|  |  |  | 		if (Is_inexacttrap_enabled()) { | 
					
						
							|  |  |  | 			Sgl_set_exponent(result, | 
					
						
							|  |  |  | 			 ((src_exponent-SGL_BIAS)>>1)+SGL_BIAS); | 
					
						
							|  |  |  | 			*dstptr = result; | 
					
						
							|  |  |  | 			return(INEXACTEXCEPTION); | 
					
						
							|  |  |  | 		} | 
					
						
							|  |  |  | 		else Set_inexactflag(); | 
					
						
							|  |  |  | 	} | 
					
						
							|  |  |  | 	else { | 
					
						
							|  |  |  | 		Sgl_rightshiftby1(result); | 
					
						
							|  |  |  | 	} | 
					
						
							|  |  |  | 	Sgl_set_exponent(result,((src_exponent-SGL_BIAS)>>1)+SGL_BIAS); | 
					
						
							|  |  |  | 	*dstptr = result; | 
					
						
							|  |  |  | 	return(NOEXCEPTION); | 
					
						
							|  |  |  | } |