sfsqrt.c revision 1.1 1 1.1 fredette /* $NetBSD: sfsqrt.c,v 1.1 2002/06/05 01:04:26 fredette 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 1.1 fredette
44 1.1 fredette #include "../spmath/float.h"
45 1.1 fredette #include "../spmath/sgl_float.h"
46 1.1 fredette
47 1.1 fredette /*
48 1.1 fredette * Single Floating-point Square Root
49 1.1 fredette */
50 1.1 fredette
51 1.1 fredette /*ARGSUSED*/
52 1.1 fredette int
53 1.1 fredette sgl_fsqrt(srcptr,dstptr,status)
54 1.1 fredette
55 1.1 fredette sgl_floating_point *srcptr, *dstptr;
56 1.1 fredette unsigned int *status;
57 1.1 fredette {
58 1.1 fredette register unsigned int src, result;
59 1.1 fredette register int src_exponent, newbit, sum;
60 1.1 fredette register int guardbit = FALSE, even_exponent;
61 1.1 fredette
62 1.1 fredette src = *srcptr;
63 1.1 fredette /*
64 1.1 fredette * check source operand for NaN or infinity
65 1.1 fredette */
66 1.1 fredette if ((src_exponent = Sgl_exponent(src)) == SGL_INFINITY_EXPONENT) {
67 1.1 fredette /*
68 1.1 fredette * is signaling NaN?
69 1.1 fredette */
70 1.1 fredette if (Sgl_isone_signaling(src)) {
71 1.1 fredette /* trap if INVALIDTRAP enabled */
72 1.1 fredette if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
73 1.1 fredette /* make NaN quiet */
74 1.1 fredette Set_invalidflag();
75 1.1 fredette Sgl_set_quiet(src);
76 1.1 fredette }
77 1.1 fredette /*
78 1.1 fredette * Return quiet NaN or positive infinity.
79 1.1 fredette * Fall thru to negative test if negative infinity.
80 1.1 fredette */
81 1.1 fredette if (Sgl_iszero_sign(src) || Sgl_isnotzero_mantissa(src)) {
82 1.1 fredette *dstptr = src;
83 1.1 fredette return(NOEXCEPTION);
84 1.1 fredette }
85 1.1 fredette }
86 1.1 fredette
87 1.1 fredette /*
88 1.1 fredette * check for zero source operand
89 1.1 fredette */
90 1.1 fredette if (Sgl_iszero_exponentmantissa(src)) {
91 1.1 fredette *dstptr = src;
92 1.1 fredette return(NOEXCEPTION);
93 1.1 fredette }
94 1.1 fredette
95 1.1 fredette /*
96 1.1 fredette * check for negative source operand
97 1.1 fredette */
98 1.1 fredette if (Sgl_isone_sign(src)) {
99 1.1 fredette /* trap if INVALIDTRAP enabled */
100 1.1 fredette if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
101 1.1 fredette /* make NaN quiet */
102 1.1 fredette Set_invalidflag();
103 1.1 fredette Sgl_makequietnan(src);
104 1.1 fredette *dstptr = src;
105 1.1 fredette return(NOEXCEPTION);
106 1.1 fredette }
107 1.1 fredette
108 1.1 fredette /*
109 1.1 fredette * Generate result
110 1.1 fredette */
111 1.1 fredette if (src_exponent > 0) {
112 1.1 fredette even_exponent = Sgl_hidden(src);
113 1.1 fredette Sgl_clear_signexponent_set_hidden(src);
114 1.1 fredette }
115 1.1 fredette else {
116 1.1 fredette /* normalize operand */
117 1.1 fredette Sgl_clear_signexponent(src);
118 1.1 fredette src_exponent++;
119 1.1 fredette Sgl_normalize(src,src_exponent);
120 1.1 fredette even_exponent = src_exponent & 1;
121 1.1 fredette }
122 1.1 fredette if (even_exponent) {
123 1.1 fredette /* exponent is even */
124 1.1 fredette /* Add comment here. Explain why odd exponent needs correction */
125 1.1 fredette Sgl_leftshiftby1(src);
126 1.1 fredette }
127 1.1 fredette /*
128 1.1 fredette * Add comment here. Explain following algorithm.
129 1.1 fredette *
130 1.1 fredette * Trust me, it works.
131 1.1 fredette *
132 1.1 fredette */
133 1.1 fredette Sgl_setzero(result);
134 1.1 fredette newbit = 1 << SGL_P;
135 1.1 fredette while (newbit && Sgl_isnotzero(src)) {
136 1.1 fredette Sgl_addition(result,newbit,sum);
137 1.1 fredette if(sum <= Sgl_all(src)) {
138 1.1 fredette /* update result */
139 1.1 fredette Sgl_addition(result,(newbit<<1),result);
140 1.1 fredette Sgl_subtract(src,sum,src);
141 1.1 fredette }
142 1.1 fredette Sgl_rightshiftby1(newbit);
143 1.1 fredette Sgl_leftshiftby1(src);
144 1.1 fredette }
145 1.1 fredette /* correct exponent for pre-shift */
146 1.1 fredette if (even_exponent) {
147 1.1 fredette Sgl_rightshiftby1(result);
148 1.1 fredette }
149 1.1 fredette
150 1.1 fredette /* check for inexact */
151 1.1 fredette if (Sgl_isnotzero(src)) {
152 1.1 fredette if (!even_exponent & Sgl_islessthan(result,src))
153 1.1 fredette Sgl_increment(result);
154 1.1 fredette guardbit = Sgl_lowmantissa(result);
155 1.1 fredette Sgl_rightshiftby1(result);
156 1.1 fredette
157 1.1 fredette /* now round result */
158 1.1 fredette switch (Rounding_mode()) {
159 1.1 fredette case ROUNDPLUS:
160 1.1 fredette Sgl_increment(result);
161 1.1 fredette break;
162 1.1 fredette case ROUNDNEAREST:
163 1.1 fredette /* stickybit is always true, so guardbit
164 1.1 fredette * is enough to determine rounding */
165 1.1 fredette if (guardbit) {
166 1.1 fredette Sgl_increment(result);
167 1.1 fredette }
168 1.1 fredette break;
169 1.1 fredette }
170 1.1 fredette /* increment result exponent by 1 if mantissa overflowed */
171 1.1 fredette if (Sgl_isone_hiddenoverflow(result)) src_exponent+=2;
172 1.1 fredette
173 1.1 fredette if (Is_inexacttrap_enabled()) {
174 1.1 fredette Sgl_set_exponent(result,
175 1.1 fredette ((src_exponent-SGL_BIAS)>>1)+SGL_BIAS);
176 1.1 fredette *dstptr = result;
177 1.1 fredette return(INEXACTEXCEPTION);
178 1.1 fredette }
179 1.1 fredette else Set_inexactflag();
180 1.1 fredette }
181 1.1 fredette else {
182 1.1 fredette Sgl_rightshiftby1(result);
183 1.1 fredette }
184 1.1 fredette Sgl_set_exponent(result,((src_exponent-SGL_BIAS)>>1)+SGL_BIAS);
185 1.1 fredette *dstptr = result;
186 1.1 fredette return(NOEXCEPTION);
187 1.1 fredette }
188