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sfsqrt.c revision 1.5.6.1
      1  1.5.6.1  jdolecek /*	$NetBSD: sfsqrt.c,v 1.5.6.1 2017/12/03 11:36:16 jdolecek Exp $	*/
      2      1.1  fredette 
      3      1.1  fredette /*	$OpenBSD: sfsqrt.c,v 1.5 2001/03/29 03:58:19 mickey Exp $	*/
      4      1.1  fredette 
      5      1.1  fredette /*
      6      1.1  fredette  * Copyright 1996 1995 by Open Software Foundation, Inc.
      7      1.1  fredette  *              All Rights Reserved
      8      1.1  fredette  *
      9      1.1  fredette  * Permission to use, copy, modify, and distribute this software and
     10      1.1  fredette  * its documentation for any purpose and without fee is hereby granted,
     11      1.1  fredette  * provided that the above copyright notice appears in all copies and
     12      1.1  fredette  * that both the copyright notice and this permission notice appear in
     13      1.1  fredette  * supporting documentation.
     14      1.1  fredette  *
     15      1.1  fredette  * OSF DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE
     16      1.1  fredette  * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
     17      1.1  fredette  * FOR A PARTICULAR PURPOSE.
     18      1.1  fredette  *
     19      1.1  fredette  * IN NO EVENT SHALL OSF BE LIABLE FOR ANY SPECIAL, INDIRECT, OR
     20      1.1  fredette  * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM
     21      1.1  fredette  * LOSS OF USE, DATA OR PROFITS, WHETHER IN ACTION OF CONTRACT,
     22      1.1  fredette  * NEGLIGENCE, OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION
     23      1.1  fredette  * WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
     24      1.1  fredette  *
     25      1.1  fredette  */
     26      1.1  fredette /*
     27      1.1  fredette  * pmk1.1
     28      1.1  fredette  */
     29      1.1  fredette /*
     30      1.1  fredette  * (c) Copyright 1986 HEWLETT-PACKARD COMPANY
     31      1.1  fredette  *
     32      1.1  fredette  * To anyone who acknowledges that this file is provided "AS IS"
     33      1.1  fredette  * without any express or implied warranty:
     34      1.1  fredette  *     permission to use, copy, modify, and distribute this file
     35      1.1  fredette  * for any purpose is hereby granted without fee, provided that
     36      1.1  fredette  * the above copyright notice and this notice appears in all
     37      1.1  fredette  * copies, and that the name of Hewlett-Packard Company not be
     38      1.1  fredette  * used in advertising or publicity pertaining to distribution
     39      1.1  fredette  * of the software without specific, written prior permission.
     40      1.1  fredette  * Hewlett-Packard Company makes no representations about the
     41      1.1  fredette  * suitability of this software for any purpose.
     42      1.1  fredette  */
     43      1.2     lukem 
     44      1.2     lukem #include <sys/cdefs.h>
     45  1.5.6.1  jdolecek __KERNEL_RCSID(0, "$NetBSD: sfsqrt.c,v 1.5.6.1 2017/12/03 11:36:16 jdolecek Exp $");
     46      1.1  fredette 
     47      1.1  fredette #include "../spmath/float.h"
     48      1.1  fredette #include "../spmath/sgl_float.h"
     49      1.1  fredette 
     50      1.1  fredette /*
     51      1.1  fredette  *  Single Floating-point Square Root
     52      1.1  fredette  */
     53      1.1  fredette 
     54      1.1  fredette /*ARGSUSED*/
     55      1.1  fredette int
     56      1.5     skrll sgl_fsqrt(sgl_floating_point *srcptr, sgl_floating_point *dstptr,
     57      1.5     skrll     unsigned int *status)
     58      1.1  fredette {
     59      1.1  fredette 	register unsigned int src, result;
     60      1.1  fredette 	register int src_exponent, newbit, sum;
     61      1.4   thorpej 	register int guardbit = false, even_exponent;
     62      1.1  fredette 
     63      1.1  fredette 	src = *srcptr;
     64      1.1  fredette 	/*
     65      1.1  fredette 	 * check source operand for NaN or infinity
     66      1.1  fredette 	 */
     67      1.1  fredette 	if ((src_exponent = Sgl_exponent(src)) == SGL_INFINITY_EXPONENT) {
     68      1.1  fredette 		/*
     69      1.1  fredette 		 * is signaling NaN?
     70      1.1  fredette 		 */
     71      1.1  fredette 		if (Sgl_isone_signaling(src)) {
     72      1.1  fredette 			/* trap if INVALIDTRAP enabled */
     73      1.1  fredette 			if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
     74      1.1  fredette 			/* make NaN quiet */
     75      1.1  fredette 			Set_invalidflag();
     76      1.1  fredette 			Sgl_set_quiet(src);
     77      1.1  fredette 		}
     78      1.1  fredette 		/*
     79      1.1  fredette 		 * Return quiet NaN or positive infinity.
     80      1.1  fredette 		 *  Fall thru to negative test if negative infinity.
     81      1.1  fredette 		 */
     82      1.1  fredette 		if (Sgl_iszero_sign(src) || Sgl_isnotzero_mantissa(src)) {
     83      1.1  fredette 			*dstptr = src;
     84      1.1  fredette 			return(NOEXCEPTION);
     85      1.1  fredette 		}
     86      1.1  fredette 	}
     87      1.1  fredette 
     88      1.1  fredette 	/*
     89      1.1  fredette 	 * check for zero source operand
     90      1.1  fredette 	 */
     91      1.1  fredette 	if (Sgl_iszero_exponentmantissa(src)) {
     92      1.1  fredette 		*dstptr = src;
     93      1.1  fredette 		return(NOEXCEPTION);
     94      1.1  fredette 	}
     95      1.1  fredette 
     96      1.1  fredette 	/*
     97      1.1  fredette 	 * check for negative source operand
     98      1.1  fredette 	 */
     99      1.1  fredette 	if (Sgl_isone_sign(src)) {
    100      1.1  fredette 		/* trap if INVALIDTRAP enabled */
    101      1.1  fredette 		if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
    102      1.1  fredette 		/* make NaN quiet */
    103      1.1  fredette 		Set_invalidflag();
    104      1.1  fredette 		Sgl_makequietnan(src);
    105      1.1  fredette 		*dstptr = src;
    106      1.1  fredette 		return(NOEXCEPTION);
    107      1.1  fredette 	}
    108      1.1  fredette 
    109      1.1  fredette 	/*
    110      1.1  fredette 	 * Generate result
    111      1.1  fredette 	 */
    112      1.1  fredette 	if (src_exponent > 0) {
    113      1.1  fredette 		even_exponent = Sgl_hidden(src);
    114      1.1  fredette 		Sgl_clear_signexponent_set_hidden(src);
    115      1.1  fredette 	}
    116      1.1  fredette 	else {
    117      1.1  fredette 		/* normalize operand */
    118      1.1  fredette 		Sgl_clear_signexponent(src);
    119      1.1  fredette 		src_exponent++;
    120      1.1  fredette 		Sgl_normalize(src,src_exponent);
    121      1.1  fredette 		even_exponent = src_exponent & 1;
    122      1.1  fredette 	}
    123      1.1  fredette 	if (even_exponent) {
    124      1.1  fredette 		/* exponent is even */
    125      1.1  fredette 		/* Add comment here.  Explain why odd exponent needs correction */
    126      1.1  fredette 		Sgl_leftshiftby1(src);
    127      1.1  fredette 	}
    128      1.1  fredette 	/*
    129      1.1  fredette 	 * Add comment here.  Explain following algorithm.
    130      1.1  fredette 	 *
    131      1.1  fredette 	 * Trust me, it works.
    132      1.1  fredette 	 *
    133      1.1  fredette 	 */
    134      1.1  fredette 	Sgl_setzero(result);
    135      1.1  fredette 	newbit = 1 << SGL_P;
    136      1.1  fredette 	while (newbit && Sgl_isnotzero(src)) {
    137      1.1  fredette 		Sgl_addition(result,newbit,sum);
    138      1.1  fredette 		if(sum <= Sgl_all(src)) {
    139      1.1  fredette 			/* update result */
    140      1.1  fredette 			Sgl_addition(result,(newbit<<1),result);
    141      1.1  fredette 			Sgl_subtract(src,sum,src);
    142      1.1  fredette 		}
    143      1.1  fredette 		Sgl_rightshiftby1(newbit);
    144      1.1  fredette 		Sgl_leftshiftby1(src);
    145      1.1  fredette 	}
    146      1.1  fredette 	/* correct exponent for pre-shift */
    147      1.1  fredette 	if (even_exponent) {
    148      1.1  fredette 		Sgl_rightshiftby1(result);
    149      1.1  fredette 	}
    150      1.1  fredette 
    151      1.1  fredette 	/* check for inexact */
    152      1.1  fredette 	if (Sgl_isnotzero(src)) {
    153  1.5.6.1  jdolecek 		if (!even_exponent && Sgl_islessthan(result,src))
    154      1.1  fredette 			Sgl_increment(result);
    155      1.1  fredette 		guardbit = Sgl_lowmantissa(result);
    156      1.1  fredette 		Sgl_rightshiftby1(result);
    157      1.1  fredette 
    158      1.1  fredette 		/*  now round result  */
    159      1.1  fredette 		switch (Rounding_mode()) {
    160      1.1  fredette 		case ROUNDPLUS:
    161      1.1  fredette 		     Sgl_increment(result);
    162      1.1  fredette 		     break;
    163      1.1  fredette 		case ROUNDNEAREST:
    164      1.1  fredette 		     /* stickybit is always true, so guardbit
    165      1.1  fredette 		      * is enough to determine rounding */
    166      1.1  fredette 		     if (guardbit) {
    167      1.1  fredette 			Sgl_increment(result);
    168      1.1  fredette 		     }
    169      1.1  fredette 		     break;
    170      1.1  fredette 		}
    171      1.1  fredette 		/* increment result exponent by 1 if mantissa overflowed */
    172      1.1  fredette 		if (Sgl_isone_hiddenoverflow(result)) src_exponent+=2;
    173      1.1  fredette 
    174      1.1  fredette 		if (Is_inexacttrap_enabled()) {
    175      1.1  fredette 			Sgl_set_exponent(result,
    176      1.1  fredette 			 ((src_exponent-SGL_BIAS)>>1)+SGL_BIAS);
    177      1.1  fredette 			*dstptr = result;
    178      1.1  fredette 			return(INEXACTEXCEPTION);
    179      1.1  fredette 		}
    180      1.1  fredette 		else Set_inexactflag();
    181      1.1  fredette 	}
    182      1.1  fredette 	else {
    183      1.1  fredette 		Sgl_rightshiftby1(result);
    184      1.1  fredette 	}
    185      1.1  fredette 	Sgl_set_exponent(result,((src_exponent-SGL_BIAS)>>1)+SGL_BIAS);
    186      1.1  fredette 	*dstptr = result;
    187      1.1  fredette 	return(NOEXCEPTION);
    188      1.1  fredette }
    189