175 lines
		
	
	
		
			4.1 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
			
		
		
	
	
			175 lines
		
	
	
		
			4.1 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
| // SPDX-License-Identifier: GPL-2.0-or-later
 | |
| /*
 | |
|  * Linux/PA-RISC Project (http://www.parisc-linux.org/)
 | |
|  *
 | |
|  * Floating-point emulation code
 | |
|  *  Copyright (C) 2001 Hewlett-Packard (Paul Bame) <bame@debian.org>
 | |
|  */
 | |
| /*
 | |
|  * 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
 | |
| */
 | |
| 
 | |
| 
 | |
| #include "float.h"
 | |
| #include "sgl_float.h"
 | |
| 
 | |
| /*
 | |
|  *  Single Floating-point Square Root
 | |
|  */
 | |
| 
 | |
| /*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;
 | |
| 
 | |
| 	src = *srcptr;
 | |
|         /*
 | |
|          * check source operand for NaN or infinity
 | |
|          */
 | |
|         if ((src_exponent = Sgl_exponent(src)) == SGL_INFINITY_EXPONENT) {
 | |
|                 /*
 | |
|                  * 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);
 | |
|                 }
 | |
|                 /*
 | |
|                  * Return quiet NaN or positive infinity.
 | |
| 		 *  Fall through to negative test if negative infinity.
 | |
|                  */
 | |
| 		if (Sgl_iszero_sign(src) || Sgl_isnotzero_mantissa(src)) {
 | |
|                 	*dstptr = src;
 | |
|                 	return(NOEXCEPTION);
 | |
| 		}
 | |
|         }
 | |
| 
 | |
|         /*
 | |
|          * check for zero source operand
 | |
|          */
 | |
| 	if (Sgl_iszero_exponentmantissa(src)) {
 | |
| 		*dstptr = src;
 | |
| 		return(NOEXCEPTION);
 | |
| 	}
 | |
| 
 | |
|         /*
 | |
|          * 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);
 | |
| 	}
 | |
| 
 | |
| 	/*
 | |
| 	 * 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);
 | |
| 	}
 | |
| 	/*
 | |
| 	 * 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);
 | |
| 	}
 | |
| 
 | |
| 	/* check for inexact */
 | |
| 	if (Sgl_isnotzero(src)) {
 | |
| 		if (!even_exponent && Sgl_islessthan(result,src)) 
 | |
| 			Sgl_increment(result);
 | |
| 		guardbit = Sgl_lowmantissa(result);
 | |
| 		Sgl_rightshiftby1(result);
 | |
| 
 | |
| 		/*  now round result  */
 | |
| 		switch (Rounding_mode()) {
 | |
| 		case ROUNDPLUS:
 | |
| 		     Sgl_increment(result);
 | |
| 		     break;
 | |
| 		case ROUNDNEAREST:
 | |
| 		     /* stickybit is always true, so guardbit 
 | |
| 		      * 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;
 | |
| 
 | |
| 		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);
 | |
| }
 |