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 ctanh = __ctanh
31
32 /* INDENT OFF */
33 /*
34 * dcomplex ctanh(dcomplex z);
35 *
36 * tanh x + i tan y sinh 2x + i sin 2y
37 * ctanh z = --------------------- = --------------------
38 * 1 + i tanh(x)tan(y) cosh 2x + cos 2y
39 *
40 * For |x| >= prec/2 (14,28,34,60 for single, double, double extended, quad),
41 * we use
42 *
43 * 1 2x 2 sin 2y
44 * cosh 2x = sinh 2x = --- e and hence ctanh z = 1 + i -----------;
45 * 2 2x
46 * e
47 *
48 * otherwise, to avoid cancellation, for |x| < prec/2,
49 * 2x 2
50 * (e - 1) 2 2
|
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 __ctanh = ctanh
31
32 /* INDENT OFF */
33 /*
34 * dcomplex ctanh(dcomplex z);
35 *
36 * tanh x + i tan y sinh 2x + i sin 2y
37 * ctanh z = --------------------- = --------------------
38 * 1 + i tanh(x)tan(y) cosh 2x + cos 2y
39 *
40 * For |x| >= prec/2 (14,28,34,60 for single, double, double extended, quad),
41 * we use
42 *
43 * 1 2x 2 sin 2y
44 * cosh 2x = sinh 2x = --- e and hence ctanh z = 1 + i -----------;
45 * 2 2x
46 * e
47 *
48 * otherwise, to avoid cancellation, for |x| < prec/2,
49 * 2x 2
50 * (e - 1) 2 2
|