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/*-
* 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)));
}
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