source: azure_iot_hub/trunk/musl-1.1.18/src/complex/ccoshf.c@ 389

/* 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.
 */

#include "libm.h"

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));
}