xref: /illumos-gate/usr/src/lib/libm/common/R/sqrtf.c (revision 1ed6b69a5ca1ca3ee5e9a4931f74e2237c7e1c9f)
1 /*
2  * CDDL HEADER START
3  *
4  * The contents of this file are subject to the terms of the
5  * Common Development and Distribution License (the "License").
6  * You may not use this file except in compliance with the License.
7  *
8  * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
9  * or http://www.opensolaris.org/os/licensing.
10  * See the License for the specific language governing permissions
11  * and limitations under the License.
12  *
13  * When distributing Covered Code, include this CDDL HEADER in each
14  * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
15  * If applicable, add the following below this CDDL HEADER, with the
16  * fields enclosed by brackets "[]" replaced with your own identifying
17  * information: Portions Copyright [yyyy] [name of copyright owner]
18  *
19  * CDDL HEADER END
20  */
21 /*
22  * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
23  */
24 /*
25  * Copyright 2005 Sun Microsystems, Inc.  All rights reserved.
26  * Use is subject to license terms.
27  */
28 
29 #pragma weak sqrtf = __sqrtf
30 
31 #include "libm.h"
32 
33 #ifdef __INLINE
34 
35 extern float __inline_sqrtf(float);
36 
37 float
38 sqrtf(float x) {
39 	return (__inline_sqrtf(x));
40 }
41 
42 #else	/* defined(__INLINE) */
43 
44 static const float huge = 1.0e35F, tiny = 1.0e-35F, zero = 0.0f;
45 
46 float
47 sqrtf(float x) {
48 	float	dz, w;
49 	int 	*pw = (int *)&w;
50 	int	ix, j, r, q, m, n, s, t;
51 
52 	w = x;
53 	ix = pw[0];
54 	if (ix <= 0) {
55 		/* x is <= 0 or nan */
56 		j = ix & 0x7fffffff;
57 		if (j == 0)
58 			return (w);
59 		return ((w * zero) / zero);
60 	}
61 
62 	if ((ix & 0x7f800000) == 0x7f800000) {
63 		/* x is +inf or nan */
64 		return (w * w);
65 	}
66 
67 	m = ir_ilogb_(&w);
68 	n = -m;
69 	w = r_scalbn_(&w, (int *)&n);
70 	ix = (pw[0] & 0x007fffff) | 0x00800000;
71 	n = m / 2;
72 	if ((n + n) != m) {
73 		ix = ix + ix;
74 		m -= 1;
75 		n = m / 2;
76 	}
77 
78 	/* generate sqrt(x) bit by bit */
79 	ix <<= 1;
80 	q = s = 0;
81 	r = 0x01000000;
82 	for (j = 1; j <= 25; j++) {
83 		t = s + r;
84 		if (t <= ix) {
85 			s = t + r;
86 			ix -= t;
87 			q += r;
88 		}
89 		ix <<= 1;
90 		r >>= 1;
91 	}
92 	if (ix == 0)
93 		goto done;
94 
95 	/* raise inexact and determine the ambient rounding mode */
96 	dz = huge - tiny;
97 	if (dz < huge)
98 		goto done;
99 	dz = huge + tiny;
100 	if (dz > huge)
101 		q += 1;
102 	q += (q & 1);
103 
104 done:
105 	pw[0] = (q >> 1) + 0x3f000000;
106 	return (r_scalbn_(&w, (int *)&n));
107 }
108 
109 #endif	/* defined(__INLINE) */
110