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      1  1.6  christos /*	$NetBSD: sfsqrt.c,v 1.6 2016/02/29 18:20:31 christos 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  1.6  christos __KERNEL_RCSID(0, "$NetBSD: sfsqrt.c,v 1.6 2016/02/29 18:20:31 christos 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  1.6  christos 		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