xref: /illumos-gate/usr/src/lib/libm/common/C/tan.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 /*
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 tan = __tan
31 
32 /* INDENT OFF */
33 /*
34  * tan(x)
35  * Table look-up algorithm by K.C. Ng, November, 1989.
36  *
37  * kernel function:
38  *	__k_tan		... tangent function on [-pi/4,pi/4]
39  *	__rem_pio2	... argument reduction routine
40  */
41 /* INDENT ON */
42 
43 #include "libm.h"
44 #include "libm_synonyms.h"
45 #include "libm_protos.h"
46 #include <math.h>
47 
48 double
49 tan(double x) {
50 	double y[2], z = 0.0;
51 	int n, ix;
52 
53 	/* high word of x */
54 	ix = ((int *) &x)[HIWORD];
55 
56 	/* |x| ~< pi/4 */
57 	ix &= 0x7fffffff;
58 	if (ix <= 0x3fe921fb)
59 		return (__k_tan(x, z, 0));
60 
61 	/* tan(Inf or NaN) is NaN */
62 	else if (ix >= 0x7ff00000) {
63 #if defined(FPADD_TRAPS_INCOMPLETE_ON_NAN)
64 		return (ix >= 0x7ff80000 ? x : x - x);	/* NaN */
65 		/* assumes sparc-like QNaN */
66 #else
67 		return (x - x);				/* NaN */
68 #endif
69 	}
70 
71 	/* argument reduction needed */
72 	else {
73 		n = __rem_pio2(x, y);
74 		return (__k_tan(y[0], y[1], n & 1));
75 	}
76 }
77