106 lines
3.2 KiB
C
106 lines
3.2 KiB
C
/*-
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* Copyright (c) 2005 Bruce D. Evans and Steven G. Kargl
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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 sine of a complex argument z. See s_csinh.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_csinhf.c,v 1.2 2011/10/21 06:29:32 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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static const float huge = 0x1p127;
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OLM_DLLEXPORT float complex
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csinhf(float complex z)
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{
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float x, y, h;
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int32_t hx, hy, ix, iy;
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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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GET_FLOAT_WORD(hy, y);
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ix = 0x7fffffff & hx;
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iy = 0x7fffffff & hy;
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if (ix < 0x7f800000 && iy < 0x7f800000) {
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if (iy == 0)
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return (CMPLXF(sinhf(x), y));
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if (ix < 0x41100000) /* small x: normal case */
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return (CMPLXF(sinhf(x) * cosf(y), coshf(x) * sinf(y)));
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/* |x| >= 9, so cosh(x) ~= exp(|x|) */
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if (ix < 0x42b17218) {
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/* x < 88.7: expf(|x|) won't overflow */
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h = expf(fabsf(x)) * 0.5f;
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return (CMPLXF(copysignf(h, x) * cosf(y), h * sinf(y)));
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} else if (ix < 0x4340b1e7) {
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/* x < 192.7: scale to avoid overflow */
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z = __ldexp_cexpf(CMPLXF(fabsf(x), y), -1);
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return (CMPLXF(crealf(z) * copysignf(1, x), cimagf(z)));
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} else {
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/* x >= 192.7: the result always overflows */
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h = huge * x;
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return (CMPLXF(h * cosf(y), h * h * sinf(y)));
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}
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}
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if (ix == 0 && iy >= 0x7f800000)
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return (CMPLXF(copysignf(0, x * (y - y)), y - y));
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if (iy == 0 && ix >= 0x7f800000) {
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if ((hx & 0x7fffff) == 0)
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return (CMPLXF(x, y));
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return (CMPLXF(x, copysignf(0, y)));
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}
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if (ix < 0x7f800000 && iy >= 0x7f800000)
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return (CMPLXF(y - y, x * (y - y)));
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if (ix >= 0x7f800000 && (hx & 0x7fffff) == 0) {
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if (iy >= 0x7f800000)
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return (CMPLXF(x * x, x * (y - y)));
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return (CMPLXF(x * cosf(y), INFINITY * sinf(y)));
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}
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return (CMPLXF((x * x) * (y - y), (x + x) * (y - y)));
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}
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OLM_DLLEXPORT float complex
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csinf(float complex z)
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{
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z = csinhf(CMPLXF(-cimagf(z), crealf(z)));
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return (CMPLXF(cimagf(z), -crealf(z)));
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}
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