85 lines
2.5 KiB
C
85 lines
2.5 KiB
C
/*-
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* Copyright (c) 2011 David Schultz
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the above copyright
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* notice unmodified, this list of conditions, and the following
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* disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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*
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* THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
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* IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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* OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
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* IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
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* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
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* THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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/*
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* Hyperbolic tangent of a complex argument z. See s_ctanh.c for details.
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*/
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#include "cdefs-compat.h"
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//__FBSDID("$FreeBSD: src/lib/msun/src/s_ctanhf.c,v 1.2 2011/10/21 06:30:16 das Exp $");
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#include <openlibm_complex.h>
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#include <openlibm_math.h>
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#include "math_private.h"
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OLM_DLLEXPORT float complex
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ctanhf(float complex z)
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{
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float x, y;
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float t, beta, s, rho, denom;
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u_int32_t hx, ix;
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x = crealf(z);
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y = cimagf(z);
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GET_FLOAT_WORD(hx, x);
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ix = hx & 0x7fffffff;
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if (ix >= 0x7f800000) {
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if (ix & 0x7fffff)
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return (CMPLXF(x, (y == 0 ? y : x * y)));
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SET_FLOAT_WORD(x, hx - 0x40000000);
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return (CMPLXF(x,
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copysignf(0, isinf(y) ? y : sinf(y) * cosf(y))));
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}
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if (!isfinite(y))
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return (CMPLXF(y - y, y - y));
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if (ix >= 0x41300000) { /* x >= 11 */
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float exp_mx = expf(-fabsf(x));
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return (CMPLXF(copysignf(1, x),
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4 * sinf(y) * cosf(y) * exp_mx * exp_mx));
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}
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t = tanf(y);
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beta = 1.0 + t * t;
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s = sinhf(x);
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rho = sqrtf(1 + s * s);
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denom = 1 + beta * s * s;
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return (CMPLXF((beta * rho * s) / denom, t / denom));
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}
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OLM_DLLEXPORT float complex
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ctanf(float complex z)
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{
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z = ctanhf(CMPLXF(-cimagf(z), crealf(z)));
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return (CMPLXF(cimagf(z), -crealf(z)));
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}
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