xref: /titanic_41/usr/src/lib/libm/common/Q/cbrtl.c (revision bb3db448291a7208a0162997e1d17d3fa993871a)
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 /*
23  * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
24  */
25 /*
26  * Copyright 2006 Sun Microsystems, Inc.  All rights reserved.
27  * Use is subject to license terms.
28  */
29 
30 #pragma weak cbrtl = __cbrtl
31 
32 #include "libm.h"
33 #include "longdouble.h"
34 
35 #define	n0	0
36 
37 long double
38 cbrtl(long double x) {
39 	long double s, t, r, w, y;
40 	double dx, dy;
41 	int *py = (int *) &dy;
42 	int n, m, m3, sx;
43 
44 	if (!finitel(x))
45 		return (x + x);
46 	if (iszerol(x))
47 		return (x);
48 	sx = signbitl(x);
49 	x = fabsl(x);
50 	n = ilogbl(x);
51 	m = n / 3;
52 	m3 = m + m + m;
53 	y = scalbnl(x, -m3);
54 	dx = (double) y;
55 	dy = cbrt(dx);
56 	py[1 - n0] += 2;
57 	if (py[1 - n0] == 0)
58 		py[n0] += 1;
59 
60 	/* one step newton iteration to 113 bits with error < 0.667ulps */
61 	t = (long double) dy;
62 	t = scalbnl(t, m);
63 	s = t * t;
64 	r = x / s;
65 	w = t + t;
66 	r = (r - t) / (w + r);
67 	t += t * r;
68 
69 	return (sx == 0 ? t : -t);
70 }
71