200 lines
5.6 KiB
C
200 lines
5.6 KiB
C
/* $NetBSD: dfsqrt.c,v 1.2 2003/07/15 02:29:42 lukem Exp $ */
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/* $OpenBSD: dfsqrt.c,v 1.5 2001/03/29 03:58:17 mickey Exp $ */
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/*
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* Copyright 1996 1995 by Open Software Foundation, Inc.
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* All Rights Reserved
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*
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* Permission to use, copy, modify, and distribute this software and
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* its documentation for any purpose and without fee is hereby granted,
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* provided that the above copyright notice appears in all copies and
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* that both the copyright notice and this permission notice appear in
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* supporting documentation.
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*
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* OSF DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE
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* INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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* FOR A PARTICULAR PURPOSE.
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*
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* IN NO EVENT SHALL OSF BE LIABLE FOR ANY SPECIAL, INDIRECT, OR
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* CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM
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* LOSS OF USE, DATA OR PROFITS, WHETHER IN ACTION OF CONTRACT,
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* NEGLIGENCE, OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION
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* WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
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*
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*/
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/*
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* pmk1.1
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*/
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/*
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* (c) Copyright 1986 HEWLETT-PACKARD COMPANY
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*
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* To anyone who acknowledges that this file is provided "AS IS"
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* without any express or implied warranty:
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* permission to use, copy, modify, and distribute this file
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* for any purpose is hereby granted without fee, provided that
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* the above copyright notice and this notice appears in all
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* copies, and that the name of Hewlett-Packard Company not be
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* used in advertising or publicity pertaining to distribution
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* of the software without specific, written prior permission.
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* Hewlett-Packard Company makes no representations about the
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* suitability of this software for any purpose.
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*/
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#include <sys/cdefs.h>
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__KERNEL_RCSID(0, "$NetBSD: dfsqrt.c,v 1.2 2003/07/15 02:29:42 lukem Exp $");
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#include "../spmath/float.h"
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#include "../spmath/dbl_float.h"
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/*
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* Double Floating-point Square Root
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*/
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/*ARGSUSED*/
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int
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dbl_fsqrt(srcptr,dstptr,status)
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dbl_floating_point *srcptr, *dstptr;
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unsigned int *status;
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{
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register unsigned int srcp1, srcp2, resultp1, resultp2;
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register unsigned int newbitp1, newbitp2, sump1, sump2;
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register int src_exponent;
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register int guardbit = FALSE, even_exponent;
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Dbl_copyfromptr(srcptr,srcp1,srcp2);
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/*
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* check source operand for NaN or infinity
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*/
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if ((src_exponent = Dbl_exponent(srcp1)) == DBL_INFINITY_EXPONENT) {
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/*
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* is signaling NaN?
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*/
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if (Dbl_isone_signaling(srcp1)) {
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/* trap if INVALIDTRAP enabled */
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if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
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/* make NaN quiet */
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Set_invalidflag();
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Dbl_set_quiet(srcp1);
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}
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/*
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* Return quiet NaN or positive infinity.
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* Fall thru to negative test if negative infinity.
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*/
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if (Dbl_iszero_sign(srcp1) ||
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Dbl_isnotzero_mantissa(srcp1,srcp2)) {
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Dbl_copytoptr(srcp1,srcp2,dstptr);
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return(NOEXCEPTION);
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}
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}
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/*
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* check for zero source operand
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*/
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if (Dbl_iszero_exponentmantissa(srcp1,srcp2)) {
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Dbl_copytoptr(srcp1,srcp2,dstptr);
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return(NOEXCEPTION);
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}
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/*
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* check for negative source operand
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*/
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if (Dbl_isone_sign(srcp1)) {
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/* trap if INVALIDTRAP enabled */
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if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
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/* make NaN quiet */
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Set_invalidflag();
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Dbl_makequietnan(srcp1,srcp2);
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Dbl_copytoptr(srcp1,srcp2,dstptr);
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return(NOEXCEPTION);
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}
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/*
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* Generate result
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*/
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if (src_exponent > 0) {
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even_exponent = Dbl_hidden(srcp1);
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Dbl_clear_signexponent_set_hidden(srcp1);
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}
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else {
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/* normalize operand */
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Dbl_clear_signexponent(srcp1);
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src_exponent++;
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Dbl_normalize(srcp1,srcp2,src_exponent);
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even_exponent = src_exponent & 1;
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}
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if (even_exponent) {
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/* exponent is even */
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/* Add comment here. Explain why odd exponent needs correction */
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Dbl_leftshiftby1(srcp1,srcp2);
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}
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/*
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* Add comment here. Explain following algorithm.
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*
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* Trust me, it works.
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*
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*/
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Dbl_setzero(resultp1,resultp2);
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Dbl_allp1(newbitp1) = 1 << (DBL_P - 32);
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Dbl_setzero_mantissap2(newbitp2);
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while (Dbl_isnotzero(newbitp1,newbitp2) && Dbl_isnotzero(srcp1,srcp2)) {
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Dbl_addition(resultp1,resultp2,newbitp1,newbitp2,sump1,sump2);
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if(Dbl_isnotgreaterthan(sump1,sump2,srcp1,srcp2)) {
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Dbl_leftshiftby1(newbitp1,newbitp2);
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/* update result */
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Dbl_addition(resultp1,resultp2,newbitp1,newbitp2,
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resultp1,resultp2);
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Dbl_subtract(srcp1,srcp2,sump1,sump2,srcp1,srcp2);
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Dbl_rightshiftby2(newbitp1,newbitp2);
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}
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else {
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Dbl_rightshiftby1(newbitp1,newbitp2);
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}
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Dbl_leftshiftby1(srcp1,srcp2);
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}
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/* correct exponent for pre-shift */
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if (even_exponent) {
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Dbl_rightshiftby1(resultp1,resultp2);
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}
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/* check for inexact */
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if (Dbl_isnotzero(srcp1,srcp2)) {
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if (!even_exponent & Dbl_islessthan(resultp1,resultp2,srcp1,srcp2)) {
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Dbl_increment(resultp1,resultp2);
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}
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guardbit = Dbl_lowmantissap2(resultp2);
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Dbl_rightshiftby1(resultp1,resultp2);
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/* now round result */
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switch (Rounding_mode()) {
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case ROUNDPLUS:
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Dbl_increment(resultp1,resultp2);
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break;
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case ROUNDNEAREST:
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/* stickybit is always true, so guardbit
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* is enough to determine rounding */
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if (guardbit) {
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Dbl_increment(resultp1,resultp2);
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}
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break;
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}
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/* increment result exponent by 1 if mantissa overflowed */
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if (Dbl_isone_hiddenoverflow(resultp1)) src_exponent+=2;
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if (Is_inexacttrap_enabled()) {
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Dbl_set_exponent(resultp1,
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((src_exponent-DBL_BIAS)>>1)+DBL_BIAS);
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Dbl_copytoptr(resultp1,resultp2,dstptr);
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return(INEXACTEXCEPTION);
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}
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else Set_inexactflag();
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}
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else {
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Dbl_rightshiftby1(resultp1,resultp2);
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}
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Dbl_set_exponent(resultp1,((src_exponent-DBL_BIAS)>>1)+DBL_BIAS);
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Dbl_copytoptr(resultp1,resultp2,dstptr);
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return(NOEXCEPTION);
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}
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