3f8c0a6661
The C11 standard introduced a set of macros (CMPLX, CMPLXF, CMPLXL) that can be used to construct complex numbers from a pair of real and imaginary numbers. Unfortunately, they require some compiler support, which is why we only define them for Clang and GCC>=4.7. The cpack() function in libm performs the same task as CMPLX(), but cannot be used to generate compile-time constants. This means that all invocations of cpack() can safely be replaced by C11's CMPLX(). To keep the code building with GCC 4.2, provide copies of CMPLX() that can at least be used to generate run-time complex numbers. This makes it easier to build some of the functions outside of libm.
85 lines
2.4 KiB
C
85 lines
2.4 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 <sys/cdefs.h>
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__FBSDID("$FreeBSD$");
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#include <complex.h>
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#include <math.h>
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#include "math_private.h"
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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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uint32_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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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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