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sfsqrt.c revision 1.5.24.1
      1  1.5.24.1     skrll /*	$NetBSD: sfsqrt.c,v 1.5.24.1 2016/03/19 11:30:00 skrll 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  1.5.24.1     skrll __KERNEL_RCSID(0, "$NetBSD: sfsqrt.c,v 1.5.24.1 2016/03/19 11:30:00 skrll 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  1.5.24.1     skrll 		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