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dfsqrt.c revision 1.3
      1  1.3  christos /*	$NetBSD: dfsqrt.c,v 1.3 2005/12/11 12:17:40 christos Exp $	*/
      2  1.1  fredette 
      3  1.1  fredette /*	$OpenBSD: dfsqrt.c,v 1.5 2001/03/29 03:58:17 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  1.3  christos __KERNEL_RCSID(0, "$NetBSD: dfsqrt.c,v 1.3 2005/12/11 12:17:40 christos Exp $");
     46  1.1  fredette 
     47  1.1  fredette #include "../spmath/float.h"
     48  1.1  fredette #include "../spmath/dbl_float.h"
     49  1.1  fredette 
     50  1.1  fredette /*
     51  1.1  fredette  *  Double Floating-point Square Root
     52  1.1  fredette  */
     53  1.1  fredette 
     54  1.1  fredette /*ARGSUSED*/
     55  1.1  fredette int
     56  1.1  fredette dbl_fsqrt(srcptr,dstptr,status)
     57  1.1  fredette 
     58  1.1  fredette dbl_floating_point *srcptr, *dstptr;
     59  1.1  fredette unsigned int *status;
     60  1.1  fredette {
     61  1.1  fredette 	register unsigned int srcp1, srcp2, resultp1, resultp2;
     62  1.1  fredette 	register unsigned int newbitp1, newbitp2, sump1, sump2;
     63  1.1  fredette 	register int src_exponent;
     64  1.1  fredette 	register int guardbit = FALSE, even_exponent;
     65  1.1  fredette 
     66  1.1  fredette 	Dbl_copyfromptr(srcptr,srcp1,srcp2);
     67  1.1  fredette 	/*
     68  1.1  fredette 	 * check source operand for NaN or infinity
     69  1.1  fredette 	 */
     70  1.1  fredette 	if ((src_exponent = Dbl_exponent(srcp1)) == DBL_INFINITY_EXPONENT) {
     71  1.1  fredette 		/*
     72  1.1  fredette 		 * is signaling NaN?
     73  1.1  fredette 		 */
     74  1.1  fredette 		if (Dbl_isone_signaling(srcp1)) {
     75  1.1  fredette 			/* trap if INVALIDTRAP enabled */
     76  1.1  fredette 			if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
     77  1.1  fredette 			/* make NaN quiet */
     78  1.1  fredette 			Set_invalidflag();
     79  1.1  fredette 			Dbl_set_quiet(srcp1);
     80  1.1  fredette 		}
     81  1.1  fredette 		/*
     82  1.1  fredette 		 * Return quiet NaN or positive infinity.
     83  1.1  fredette 		 *  Fall thru to negative test if negative infinity.
     84  1.1  fredette 		 */
     85  1.1  fredette 		if (Dbl_iszero_sign(srcp1) ||
     86  1.1  fredette 		    Dbl_isnotzero_mantissa(srcp1,srcp2)) {
     87  1.1  fredette 			Dbl_copytoptr(srcp1,srcp2,dstptr);
     88  1.1  fredette 			return(NOEXCEPTION);
     89  1.1  fredette 		}
     90  1.1  fredette 	}
     91  1.1  fredette 
     92  1.1  fredette 	/*
     93  1.1  fredette 	 * check for zero source operand
     94  1.1  fredette 	 */
     95  1.1  fredette 	if (Dbl_iszero_exponentmantissa(srcp1,srcp2)) {
     96  1.1  fredette 		Dbl_copytoptr(srcp1,srcp2,dstptr);
     97  1.1  fredette 		return(NOEXCEPTION);
     98  1.1  fredette 	}
     99  1.1  fredette 
    100  1.1  fredette 	/*
    101  1.1  fredette 	 * check for negative source operand
    102  1.1  fredette 	 */
    103  1.1  fredette 	if (Dbl_isone_sign(srcp1)) {
    104  1.1  fredette 		/* trap if INVALIDTRAP enabled */
    105  1.1  fredette 		if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
    106  1.1  fredette 		/* make NaN quiet */
    107  1.1  fredette 		Set_invalidflag();
    108  1.1  fredette 		Dbl_makequietnan(srcp1,srcp2);
    109  1.1  fredette 		Dbl_copytoptr(srcp1,srcp2,dstptr);
    110  1.1  fredette 		return(NOEXCEPTION);
    111  1.1  fredette 	}
    112  1.1  fredette 
    113  1.1  fredette 	/*
    114  1.1  fredette 	 * Generate result
    115  1.1  fredette 	 */
    116  1.1  fredette 	if (src_exponent > 0) {
    117  1.1  fredette 		even_exponent = Dbl_hidden(srcp1);
    118  1.1  fredette 		Dbl_clear_signexponent_set_hidden(srcp1);
    119  1.1  fredette 	}
    120  1.1  fredette 	else {
    121  1.1  fredette 		/* normalize operand */
    122  1.1  fredette 		Dbl_clear_signexponent(srcp1);
    123  1.1  fredette 		src_exponent++;
    124  1.1  fredette 		Dbl_normalize(srcp1,srcp2,src_exponent);
    125  1.1  fredette 		even_exponent = src_exponent & 1;
    126  1.1  fredette 	}
    127  1.1  fredette 	if (even_exponent) {
    128  1.1  fredette 		/* exponent is even */
    129  1.1  fredette 		/* Add comment here.  Explain why odd exponent needs correction */
    130  1.1  fredette 		Dbl_leftshiftby1(srcp1,srcp2);
    131  1.1  fredette 	}
    132  1.1  fredette 	/*
    133  1.1  fredette 	 * Add comment here.  Explain following algorithm.
    134  1.1  fredette 	 *
    135  1.1  fredette 	 * Trust me, it works.
    136  1.1  fredette 	 *
    137  1.1  fredette 	 */
    138  1.1  fredette 	Dbl_setzero(resultp1,resultp2);
    139  1.1  fredette 	Dbl_allp1(newbitp1) = 1 << (DBL_P - 32);
    140  1.1  fredette 	Dbl_setzero_mantissap2(newbitp2);
    141  1.1  fredette 	while (Dbl_isnotzero(newbitp1,newbitp2) && Dbl_isnotzero(srcp1,srcp2)) {
    142  1.1  fredette 		Dbl_addition(resultp1,resultp2,newbitp1,newbitp2,sump1,sump2);
    143  1.1  fredette 		if(Dbl_isnotgreaterthan(sump1,sump2,srcp1,srcp2)) {
    144  1.1  fredette 			Dbl_leftshiftby1(newbitp1,newbitp2);
    145  1.1  fredette 			/* update result */
    146  1.1  fredette 			Dbl_addition(resultp1,resultp2,newbitp1,newbitp2,
    147  1.1  fredette 			 resultp1,resultp2);
    148  1.1  fredette 			Dbl_subtract(srcp1,srcp2,sump1,sump2,srcp1,srcp2);
    149  1.1  fredette 			Dbl_rightshiftby2(newbitp1,newbitp2);
    150  1.1  fredette 		}
    151  1.1  fredette 		else {
    152  1.1  fredette 			Dbl_rightshiftby1(newbitp1,newbitp2);
    153  1.1  fredette 		}
    154  1.1  fredette 		Dbl_leftshiftby1(srcp1,srcp2);
    155  1.1  fredette 	}
    156  1.1  fredette 	/* correct exponent for pre-shift */
    157  1.1  fredette 	if (even_exponent) {
    158  1.1  fredette 		Dbl_rightshiftby1(resultp1,resultp2);
    159  1.1  fredette 	}
    160  1.1  fredette 
    161  1.1  fredette 	/* check for inexact */
    162  1.1  fredette 	if (Dbl_isnotzero(srcp1,srcp2)) {
    163  1.1  fredette 		if (!even_exponent & Dbl_islessthan(resultp1,resultp2,srcp1,srcp2)) {
    164  1.1  fredette 			Dbl_increment(resultp1,resultp2);
    165  1.1  fredette 		}
    166  1.1  fredette 		guardbit = Dbl_lowmantissap2(resultp2);
    167  1.1  fredette 		Dbl_rightshiftby1(resultp1,resultp2);
    168  1.1  fredette 
    169  1.1  fredette 		/*  now round result  */
    170  1.1  fredette 		switch (Rounding_mode()) {
    171  1.1  fredette 		case ROUNDPLUS:
    172  1.1  fredette 		     Dbl_increment(resultp1,resultp2);
    173  1.1  fredette 		     break;
    174  1.1  fredette 		case ROUNDNEAREST:
    175  1.1  fredette 		     /* stickybit is always true, so guardbit
    176  1.1  fredette 		      * is enough to determine rounding */
    177  1.1  fredette 		     if (guardbit) {
    178  1.1  fredette 			    Dbl_increment(resultp1,resultp2);
    179  1.1  fredette 		     }
    180  1.1  fredette 		     break;
    181  1.1  fredette 		}
    182  1.1  fredette 		/* increment result exponent by 1 if mantissa overflowed */
    183  1.1  fredette 		if (Dbl_isone_hiddenoverflow(resultp1)) src_exponent+=2;
    184  1.1  fredette 
    185  1.1  fredette 		if (Is_inexacttrap_enabled()) {
    186  1.1  fredette 			Dbl_set_exponent(resultp1,
    187  1.1  fredette 			 ((src_exponent-DBL_BIAS)>>1)+DBL_BIAS);
    188  1.1  fredette 			Dbl_copytoptr(resultp1,resultp2,dstptr);
    189  1.1  fredette 			return(INEXACTEXCEPTION);
    190  1.1  fredette 		}
    191  1.1  fredette 		else Set_inexactflag();
    192  1.1  fredette 	}
    193  1.1  fredette 	else {
    194  1.1  fredette 		Dbl_rightshiftby1(resultp1,resultp2);
    195  1.1  fredette 	}
    196  1.1  fredette 	Dbl_set_exponent(resultp1,((src_exponent-DBL_BIAS)>>1)+DBL_BIAS);
    197  1.1  fredette 	Dbl_copytoptr(resultp1,resultp2,dstptr);
    198  1.1  fredette 	return(NOEXCEPTION);
    199  1.1  fredette }
    200