/*- * Copyright (c) 2011 David Schultz * 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 tangent of a complex argument z. See s_ctanh.c for details. */ #include __FBSDID("$FreeBSD: head/lib/msun/src/s_ctanhf.c 284428 2015-06-15 20:47:26Z tijl $"); #include #include #include "math_private.h" float complex ctanhf(float complex z) { float x, y; float t, beta, s, rho, denom; uint32_t hx, ix; x = crealf(z); y = cimagf(z); GET_FLOAT_WORD(hx, x); ix = hx & 0x7fffffff; if (ix >= 0x7f800000) { if (ix & 0x7fffff) return (CMPLXF((x + 0) * (y + 0), y == 0 ? y : (x + 0) * (y + 0))); SET_FLOAT_WORD(x, hx - 0x40000000); return (CMPLXF(x, copysignf(0, isinf(y) ? y : sinf(y) * cosf(y)))); } if (!isfinite(y)) return (CMPLXF(y - y, y - y)); if (ix >= 0x41300000) { /* |x| >= 11 */ float exp_mx = expf(-fabsf(x)); return (CMPLXF(copysignf(1, x), 4 * sinf(y) * cosf(y) * exp_mx * exp_mx)); } t = tanf(y); beta = 1.0 + t * t; s = sinhf(x); rho = sqrtf(1 + s * s); denom = 1 + beta * s * s; return (CMPLXF((beta * rho * s) / denom, t / denom)); } float complex ctanf(float complex z) { z = ctanhf(CMPLXF(cimagf(z), crealf(z))); return (CMPLXF(cimagf(z), crealf(z))); }