xref: /openbsd/lib/libm/src/s_casinh.c (revision 2f2c0062)
1*2f2c0062Sguenther /*	$OpenBSD: s_casinh.c,v 1.7 2016/09/12 19:47:02 guenther Exp $	*/
27b36286aSmartynas /*
37b36286aSmartynas  * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
47b36286aSmartynas  *
57b36286aSmartynas  * Permission to use, copy, modify, and distribute this software for any
67b36286aSmartynas  * purpose with or without fee is hereby granted, provided that the above
77b36286aSmartynas  * copyright notice and this permission notice appear in all copies.
87b36286aSmartynas  *
97b36286aSmartynas  * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
107b36286aSmartynas  * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
117b36286aSmartynas  * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
127b36286aSmartynas  * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
137b36286aSmartynas  * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
147b36286aSmartynas  * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
157b36286aSmartynas  * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
167b36286aSmartynas  */
177b36286aSmartynas 
187b36286aSmartynas /*							casinh
197b36286aSmartynas  *
207b36286aSmartynas  *	Complex inverse hyperbolic sine
217b36286aSmartynas  *
227b36286aSmartynas  *
237b36286aSmartynas  *
247b36286aSmartynas  * SYNOPSIS:
257b36286aSmartynas  *
267b36286aSmartynas  * double complex casinh();
277b36286aSmartynas  * double complex z, w;
287b36286aSmartynas  *
297b36286aSmartynas  * w = casinh (z);
307b36286aSmartynas  *
317b36286aSmartynas  *
327b36286aSmartynas  *
337b36286aSmartynas  * DESCRIPTION:
347b36286aSmartynas  *
357b36286aSmartynas  * casinh z = -i casin iz .
367b36286aSmartynas  *
377b36286aSmartynas  * ACCURACY:
387b36286aSmartynas  *
397b36286aSmartynas  *                      Relative error:
407b36286aSmartynas  * arithmetic   domain     # trials      peak         rms
417b36286aSmartynas  *    IEEE      -10,+10     30000       1.8e-14     2.6e-15
427b36286aSmartynas  *
437b36286aSmartynas  */
447b36286aSmartynas 
457b36286aSmartynas #include <complex.h>
46de3697aaSmartynas #include <float.h>
477b36286aSmartynas #include <math.h>
487b36286aSmartynas 
497b36286aSmartynas double complex
casinh(double complex z)507b36286aSmartynas casinh(double complex z)
517b36286aSmartynas {
527b36286aSmartynas 	double complex w;
537b36286aSmartynas 
547b36286aSmartynas 	w = -1.0 * I * casin (z * I);
557b36286aSmartynas 	return (w);
567b36286aSmartynas }
57*2f2c0062Sguenther DEF_STD(casinh);
58*2f2c0062Sguenther LDBL_MAYBE_UNUSED_CLONE(casinh);
59