xref: /freebsd/lib/msun/src/s_csinhf.c (revision 3daee1d6c3783e32a226d145f85a887007f5754b)

/*-
 * Copyright (c) 2005 Bruce D. Evans and Steven G. Kargl
 * All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 * 1. Redistributions of source code must retain the above copyright
 *    notice unmodified, this list of conditions, and the following
 *    disclaimer.
 * 2. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in the
 *    documentation and/or other materials provided with the distribution.
 *
 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 */

/*
 * Hyperbolic sine of a complex argument z.  See s_csinh.c for details.
 */

#include <sys/cdefs.h>
__FBSDID("$FreeBSD$");

#include <complex.h>
#include <math.h>

#include "math_private.h"

float complex
csinhf(float complex z)
{
	float x, y;
	int32_t hx, hy, ix, iy;

	x = crealf(z);
	y = cimagf(z);

	GET_FLOAT_WORD(hx, x);
	GET_FLOAT_WORD(hy, y);

	ix = 0x7fffffff & hx;
	iy = 0x7fffffff & hy;

	if (ix < 0x7f800000 && iy < 0x7f800000) {
		if (iy == 0)
			return (cpackf(sinhf(x), y));
		/* XXX We don't handle |x| > FLT_MAX ln(2) yet. */
		return (cpackf(sinhf(x) * cosf(y), coshf(x) * sinf(y)));
	}

	if (ix == 0 && iy >= 0x7f800000)
		return (cpackf(copysignf(0, x * (y - y)), y - y));

	if (iy == 0 && ix >= 0x7f800000) {
		if ((hx & 0x7fffff) == 0)
			return (cpackf(x, copysignf(0, x) * y));
		return (cpackf(x, copysignf(0, y)));
	}

	if (ix < 0x7f800000 && iy >= 0x7f800000)
		return (cpackf(y - y, x * (y - y)));

	if (ix >= 0x7f800000 && (hx & 0x7fffff) == 0) {
		if (iy >= 0x7f800000)
			return (cpackf(x * x, x * (y - y)));
		return (cpackf(x * cosf(y), INFINITY * sinf(y)));
	}

	return (cpackf((x * x) * (y - y), (x + x) * (y - y)));
}

float complex
csinf(float complex z)
{

	z = csinhf(cpackf(-cimagf(z), crealf(z)));
	return (cpackf(cimagf(z), -crealf(z)));
}