| /* 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 "complex_impl.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)); |
| } |