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