cosmopolitan/libc/tinymath/ccoshf.c

/*-*- mode:c;indent-tabs-mode:t;c-basic-offset:8;tab-width:8;coding:utf-8   -*-│
│ vi: set noet ft=c ts=8 sw=8 fenc=utf-8                                   :vi │
╚──────────────────────────────────────────────────────────────────────────────╝
│                                                                              │
│  Musl Libc                                                                   │
│  Copyright © 2005-2014 Rich Felker, et al.                                   │
│                                                                              │
│  Permission is hereby granted, free of charge, to any person obtaining       │
│  a copy of this software and associated documentation files (the             │
│  "Software"), to deal in the Software without restriction, including         │
│  without limitation the rights to use, copy, modify, merge, publish,         │
│  distribute, sublicense, and/or sell copies of the Software, and to          │
│  permit persons to whom the Software is furnished to do so, subject to       │
│  the following conditions:                                                   │
│                                                                              │
│  The above copyright notice and this permission notice shall be              │
│  included in all copies or substantial portions of the Software.             │
│                                                                              │
│  THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,             │
│  EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF          │
│  MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.      │
│  IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY        │
│  CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,        │
│  TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE           │
│  SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.                      │
│                                                                              │
╚─────────────────────────────────────────────────────────────────────────────*/
#include "libc/complex.h"
#include "libc/math.h"
#include "libc/tinymath/complex.internal.h"

asm(".ident\t\"\\n\\n\
FreeBSD libm (BSD-2 License)\\n\
Copyright (c) 2005-2011, Bruce D. Evans, Steven G. Kargl, David Schultz.\"");
asm(".ident\t\"\\n\\n\
Musl libc (MIT License)\\n\
Copyright 2005-2014 Rich Felker, et. al.\"");
asm(".include \"libc/disclaimer.inc\"");
// clang-format off

/* origin: FreeBSD /usr/src/lib/msun/src/s_ccoshf.c */
/*-
 * 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 cosine of a complex argument.  See s_ccosh.c for details.
 */


static const float huge = 0x1p127;

float complex ccoshf(float complex z)
{
	float x, y, h;
	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 CMPLXF(coshf(x), x * y);
		if (ix < 0x41100000)    /* small x: normal case */
			return CMPLXF(coshf(x) * cosf(y), sinhf(x) * sinf(y));

		/* |x| >= 9, so cosh(x) ~= exp(|x|) */
		if (ix < 0x42b17218) {
			/* x < 88.7: expf(|x|) won't overflow */
			h = expf(fabsf(x)) * 0.5f;
			return CMPLXF(h * cosf(y), copysignf(h, x) * sinf(y));
		} else if (ix < 0x4340b1e7) {
			/* x < 192.7: scale to avoid overflow */
			z = __ldexp_cexpf(CMPLXF(fabsf(x), y), -1);
			return CMPLXF(crealf(z), cimagf(z) * copysignf(1, x));
		} else {
			/* x >= 192.7: the result always overflows */
			h = huge * x;
			return CMPLXF(h * h * cosf(y), h * sinf(y));
		}
	}

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

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

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

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

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