sfsqrt.c revision 1.2 1 1.2 lukem /* $NetBSD: sfsqrt.c,v 1.2 2003/07/15 02:29:43 lukem 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 1.2 lukem __KERNEL_RCSID(0, "$NetBSD: sfsqrt.c,v 1.2 2003/07/15 02:29:43 lukem 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 1.1 fredette sgl_fsqrt(srcptr,dstptr,status)
57 1.1 fredette
58 1.1 fredette sgl_floating_point *srcptr, *dstptr;
59 1.1 fredette unsigned int *status;
60 1.1 fredette {
61 1.1 fredette register unsigned int src, result;
62 1.1 fredette register int src_exponent, newbit, sum;
63 1.1 fredette register int guardbit = FALSE, even_exponent;
64 1.1 fredette
65 1.1 fredette src = *srcptr;
66 1.1 fredette /*
67 1.1 fredette * check source operand for NaN or infinity
68 1.1 fredette */
69 1.1 fredette if ((src_exponent = Sgl_exponent(src)) == SGL_INFINITY_EXPONENT) {
70 1.1 fredette /*
71 1.1 fredette * is signaling NaN?
72 1.1 fredette */
73 1.1 fredette if (Sgl_isone_signaling(src)) {
74 1.1 fredette /* trap if INVALIDTRAP enabled */
75 1.1 fredette if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
76 1.1 fredette /* make NaN quiet */
77 1.1 fredette Set_invalidflag();
78 1.1 fredette Sgl_set_quiet(src);
79 1.1 fredette }
80 1.1 fredette /*
81 1.1 fredette * Return quiet NaN or positive infinity.
82 1.1 fredette * Fall thru to negative test if negative infinity.
83 1.1 fredette */
84 1.1 fredette if (Sgl_iszero_sign(src) || Sgl_isnotzero_mantissa(src)) {
85 1.1 fredette *dstptr = src;
86 1.1 fredette return(NOEXCEPTION);
87 1.1 fredette }
88 1.1 fredette }
89 1.1 fredette
90 1.1 fredette /*
91 1.1 fredette * check for zero source operand
92 1.1 fredette */
93 1.1 fredette if (Sgl_iszero_exponentmantissa(src)) {
94 1.1 fredette *dstptr = src;
95 1.1 fredette return(NOEXCEPTION);
96 1.1 fredette }
97 1.1 fredette
98 1.1 fredette /*
99 1.1 fredette * check for negative source operand
100 1.1 fredette */
101 1.1 fredette if (Sgl_isone_sign(src)) {
102 1.1 fredette /* trap if INVALIDTRAP enabled */
103 1.1 fredette if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
104 1.1 fredette /* make NaN quiet */
105 1.1 fredette Set_invalidflag();
106 1.1 fredette Sgl_makequietnan(src);
107 1.1 fredette *dstptr = src;
108 1.1 fredette return(NOEXCEPTION);
109 1.1 fredette }
110 1.1 fredette
111 1.1 fredette /*
112 1.1 fredette * Generate result
113 1.1 fredette */
114 1.1 fredette if (src_exponent > 0) {
115 1.1 fredette even_exponent = Sgl_hidden(src);
116 1.1 fredette Sgl_clear_signexponent_set_hidden(src);
117 1.1 fredette }
118 1.1 fredette else {
119 1.1 fredette /* normalize operand */
120 1.1 fredette Sgl_clear_signexponent(src);
121 1.1 fredette src_exponent++;
122 1.1 fredette Sgl_normalize(src,src_exponent);
123 1.1 fredette even_exponent = src_exponent & 1;
124 1.1 fredette }
125 1.1 fredette if (even_exponent) {
126 1.1 fredette /* exponent is even */
127 1.1 fredette /* Add comment here. Explain why odd exponent needs correction */
128 1.1 fredette Sgl_leftshiftby1(src);
129 1.1 fredette }
130 1.1 fredette /*
131 1.1 fredette * Add comment here. Explain following algorithm.
132 1.1 fredette *
133 1.1 fredette * Trust me, it works.
134 1.1 fredette *
135 1.1 fredette */
136 1.1 fredette Sgl_setzero(result);
137 1.1 fredette newbit = 1 << SGL_P;
138 1.1 fredette while (newbit && Sgl_isnotzero(src)) {
139 1.1 fredette Sgl_addition(result,newbit,sum);
140 1.1 fredette if(sum <= Sgl_all(src)) {
141 1.1 fredette /* update result */
142 1.1 fredette Sgl_addition(result,(newbit<<1),result);
143 1.1 fredette Sgl_subtract(src,sum,src);
144 1.1 fredette }
145 1.1 fredette Sgl_rightshiftby1(newbit);
146 1.1 fredette Sgl_leftshiftby1(src);
147 1.1 fredette }
148 1.1 fredette /* correct exponent for pre-shift */
149 1.1 fredette if (even_exponent) {
150 1.1 fredette Sgl_rightshiftby1(result);
151 1.1 fredette }
152 1.1 fredette
153 1.1 fredette /* check for inexact */
154 1.1 fredette if (Sgl_isnotzero(src)) {
155 1.1 fredette if (!even_exponent & Sgl_islessthan(result,src))
156 1.1 fredette Sgl_increment(result);
157 1.1 fredette guardbit = Sgl_lowmantissa(result);
158 1.1 fredette Sgl_rightshiftby1(result);
159 1.1 fredette
160 1.1 fredette /* now round result */
161 1.1 fredette switch (Rounding_mode()) {
162 1.1 fredette case ROUNDPLUS:
163 1.1 fredette Sgl_increment(result);
164 1.1 fredette break;
165 1.1 fredette case ROUNDNEAREST:
166 1.1 fredette /* stickybit is always true, so guardbit
167 1.1 fredette * is enough to determine rounding */
168 1.1 fredette if (guardbit) {
169 1.1 fredette Sgl_increment(result);
170 1.1 fredette }
171 1.1 fredette break;
172 1.1 fredette }
173 1.1 fredette /* increment result exponent by 1 if mantissa overflowed */
174 1.1 fredette if (Sgl_isone_hiddenoverflow(result)) src_exponent+=2;
175 1.1 fredette
176 1.1 fredette if (Is_inexacttrap_enabled()) {
177 1.1 fredette Sgl_set_exponent(result,
178 1.1 fredette ((src_exponent-SGL_BIAS)>>1)+SGL_BIAS);
179 1.1 fredette *dstptr = result;
180 1.1 fredette return(INEXACTEXCEPTION);
181 1.1 fredette }
182 1.1 fredette else Set_inexactflag();
183 1.1 fredette }
184 1.1 fredette else {
185 1.1 fredette Sgl_rightshiftby1(result);
186 1.1 fredette }
187 1.1 fredette Sgl_set_exponent(result,((src_exponent-SGL_BIAS)>>1)+SGL_BIAS);
188 1.1 fredette *dstptr = result;
189 1.1 fredette return(NOEXCEPTION);
190 1.1 fredette }
191