sfsqrt.c revision 1.6 1 1.6 christos /* $NetBSD: sfsqrt.c,v 1.6 2016/02/29 18:20:31 christos 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 1.6 christos __KERNEL_RCSID(0, "$NetBSD: sfsqrt.c,v 1.6 2016/02/29 18:20:31 christos 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 1.6 christos 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